Finite Group Databasebeta

← #33993649

Subgroups — #33993649

Order 18688.

7280 conjugacy classes of subgroups.

The subgroup lattice has 2690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624513C212yesmaximal, complemented
2#22624505C212yesmaximal, complemented
3#22624502C212yesmaximal, complemented
4#22624472C214yesmaximal, complemented
5#22624455C212yesmaximal, complemented
6#22624449C212yesmaximal, complemented
7#22624440C212yesmaximal, complemented
8#22624404C211yesmaximal, characteristic, complemented
9#22624396C211yesmaximal, characteristic, complemented
10#22624369C211yesmaximal, characteristic, complemented
11#22624361C211yesmaximal, characteristic, complemented
12#22624303C211yesmaximal, characteristic, complemented
13#22624262C211yesmaximal, characteristic, complemented
14#22624255C211yesmaximal, characteristic, complemented
15#22624164C212yesmaximal, complemented
16#22624149C212yesmaximal, complemented
17#22624112C214yesmaximal, complemented
18#22624066C214yesmaximal, complemented
19#22623538C212yesmaximal, complemented
20#22623536C212yesmaximal, complemented
21#22623530C211yesmaximal, characteristic, complemented
22#22623523C211yesmaximal, characteristic, complemented
23#22623421C212yesmaximal, complemented
24#22623418C211yesmaximal, characteristic, complemented
25#22623415C212yesmaximal, complemented
26D4×#11924027C211yesmaximal, characteristic, complemented
27#22623348C212yesmaximal, complemented
28#22623344C212yesmaximal, complemented
29#22623342C214yesmaximal, complemented
30#22623318C212yesmaximal, complemented
31#22623262C212yesmaximal, complemented
32#22623226C211yesmaximal, characteristic, complemented
33#532×D73C211yesmaximal, characteristic, complemented
34#529×D73C211yesmaximal, characteristic, complemented
35C73×#3546C211yesmaximal, characteristic, complemented
36C22×#11924027C2212yescomplemented
37C2×#41×D73C2212yescomplemented
38C2×#41×D73C2212yescomplemented
39#17989340C2214yescomplemented
40#17989339C2214yescomplemented
41#17989339C2214yescomplemented
42#17989334C2214yescomplemented
43#17989334C2214yescomplemented
44#17989332C2214yescomplemented
45#17989332C2214yescomplemented
46#17989332C2214yescomplemented
47#17989332C2214yescomplemented
48#17989330C2214yescomplemented
49#17989326C2214yescomplemented
50#17989326C2214yescomplemented
51#17989325C2214yescomplemented
52#17989325C2214yescomplemented
53#17989324C2214yescomplemented
54#17989323C2211yescharacteristic, complemented
55#17989323C2212yescomplemented
56#17989322C2211yescharacteristic, complemented
57#17989320C2212yescomplemented
58#17989319C2212yescomplemented
59#17989319C2212yescomplemented
60#17989316C2211yescharacteristic, complemented
61#17989312C2211yescharacteristic, complemented
62#17989309C2212yescomplemented
63#17989307C2212yescomplemented
64#17989307C2211yescharacteristic, complemented
65#17989296C2212yescomplemented
66#17989295C2212yescomplemented
67#17989293C2212yescomplemented
68#17989292C2212yescomplemented
69#17989288C2214yescomplemented
70#17989284C2214yescomplemented
71#17989284C2212yescomplemented
72#17989284C2212yescomplemented
73#17989283C2212yescomplemented
74#17989282C2214yescomplemented
75#17989281C2212yescomplemented
76#17989281C2212yescomplemented
77#17989280C2214yescomplemented
78#17989266C2214yescomplemented
79#17989263C2214yescomplemented
80#17989262C2214yescomplemented
81#17989260C2214yescomplemented
82#17989258C2211yescharacteristic, complemented
83#17989258C2211yescharacteristic, complemented
84#17989257C2211yescharacteristic, complemented
85#17989255C2212yescomplemented
86Q8×D292C2212yescomplemented
87D4×Dic146C2211yescharacteristic, complemented
88#17989252C2211yescharacteristic, complemented
89#17989250C2212yescomplemented
90#17989247C2212yescomplemented
91#17989247C2212yescomplemented
92#17989246C2212yescomplemented
93#17989245C2212yescomplemented
94#17989244C2212yescomplemented
95#17989244C2212yescomplemented
96#17989244C2212yescomplemented
97#17989243C2212yescomplemented
98#17989242C2212yescomplemented
99#17989242C2214yescomplemented
100#17989241C2211yescharacteristic, complemented
101#17989238C2212yescomplemented
102#17989237C2212yescomplemented
103#17989236C2212yescomplemented
104#17989235C2214yescomplemented
105#17989234C2212yescomplemented
106#17989234C2212yescomplemented
107#17989234C2212yescomplemented
108#17989234C2214yescomplemented
109#17989234C2214yescomplemented
110#17989233C2212yescomplemented
111#17989232C2212yescomplemented
112#17989231C2212yescomplemented
113#17989229C2214yescomplemented
114#17989227C2214yescomplemented
115#17989226C2214yescomplemented
116#17989226C2214yescomplemented
117#17989225C2212yescomplemented
118#17989225C2212yescomplemented
119#17989224C2214yescomplemented
120#17989224C2214yescomplemented
121D4×D292C2211yescharacteristic, complemented
122#17989222C2214yescomplemented
123#17989222C2212yescomplemented
124#17989221C2212yescomplemented
125#17989221C2212yescomplemented
126D4×C22⋊D73C2212yescomplemented
127D4×C22⋊D73C2212yescomplemented
128D4×C22⋊D73C2212yescomplemented
129#17989219C2214yescomplemented
130#17989218C2212yescomplemented
131#17989215C2212yescomplemented
132#17989212C2214yescomplemented
133#17989211C2212yescomplemented
134#17989210C2212yescomplemented
135#17989210C2212yescomplemented
136#17989210C2214yescomplemented
137#17989208C2212yescomplemented
138#17989206C2212yescomplemented
139#17989206C2214yescomplemented
140#17989204C2212yescomplemented
141#17989204C2212yescomplemented
142#17989197C2212yescomplemented
143#17989195C2212yescomplemented
144#17989191C2214yescomplemented
145#17989190C2214yescomplemented
146#17989190C2212yescomplemented
147#17989190C2212yescomplemented
148#17989190C2212yescomplemented
149#17989190C2212yescomplemented
150#17989190C2212yescomplemented
151#17989188C2212yescomplemented
152#17989183C2214yescomplemented
153#17989180C2214yescomplemented
154#17989180C2214yescomplemented
155#17989179C2214yescomplemented
156#17989179C2214yescomplemented
157#17989178C2214yescomplemented
158#17989178C2214yescomplemented
159#17989178C2214yescomplemented
160#17989175C2214yescomplemented
161#17989174C2214yescomplemented
162#17989174C2214yescomplemented
163#17989173C2214yescomplemented
164#17989172C2214yescomplemented
165#17989172C2214yescomplemented
166#17989171C2214yescomplemented
167#17989171C2214yescomplemented
168#17989171C2214yescomplemented
169#17989169C2214yescomplemented
170#17989169C2214yescomplemented
171#17989166C2214yescomplemented
172#17989166C2214yescomplemented
173#17989165C2212yescomplemented
174#17989163C2212yescomplemented
175#17989158C2212yescomplemented
176#17989157C2212yescomplemented
177#17989157C2212yescomplemented
178#17989154C2212yescomplemented
179#17989154C2212yescomplemented
180#17989151C2212yescomplemented
181#17989151C2212yescomplemented
182#17989150C2212yescomplemented
183#17989150C2212yescomplemented
184#17989147C2214yescomplemented
185#17989147C2214yescomplemented
186#17989147C2214yescomplemented
187#17989147C2214yescomplemented
188#17989145C2214yescomplemented
189#17989144C2211yescharacteristic, complemented
190#17989142C2211yescharacteristic, complemented
191#17989142C2211yescharacteristic, complemented
192#17989138C2211yescharacteristic, complemented
193#17989137C2211yescharacteristic, complemented
194#17989136C2212yescomplemented
195#17989136C2212yescomplemented
196#17989135C2211yescharacteristic, complemented
197#17989135C2212yescomplemented
198#17989135C2211yescharacteristic, complemented
199#17989135C2214yescomplemented
200#17989135C2211yescharacteristic, complemented
201#17989134C2212yescomplemented
202#17989134C2212yescomplemented
203#17989133C2212yescomplemented
204#17989132C2212yescomplemented
205#17989132C2212yescomplemented
206#17989132C2212yescomplemented
207#17989132C2214yescomplemented
208#17989132C2212yescomplemented
209C4⋊Q8×D73C2211yescharacteristic, complemented
210#127×D73C2211yescharacteristic, complemented
211#17989124C2211yescharacteristic, complemented
212#17989123C2212yescomplemented
213#17989123C2214yescomplemented
214#17989123C2211yescharacteristic, complemented
215#17989122C2211yescharacteristic, complemented
216#17989121C2211yescharacteristic, complemented
217#17989120C2214yescomplemented
218#17989120C2214yescomplemented
219#17989120C2212yescomplemented
220#17989119C2211yescharacteristic, complemented
221#17989119C2211yescharacteristic, complemented
222#17989119C2211yescharacteristic, complemented
223#17989119C2212yescomplemented
224#17989118C2211yescharacteristic, complemented
225#17989118C2212yescomplemented
226#17989118C2214yescomplemented
227#17989118C2212yescomplemented
228#17989118C2211yescharacteristic, complemented
229#17989118C2211yescharacteristic, complemented
230#17989117C2212yescomplemented
231#17989116C2211yescharacteristic, complemented
232#17989116C2214yescomplemented
233#17989116C2212yescomplemented
234#17989116C2212yescomplemented
235#17989115C2212yescomplemented
236#17989114C2214yescomplemented
237#17989114C2212yescomplemented
238#126×D73C2212yescomplemented
239#125×D73C2211yescharacteristic, complemented
240#124×D73C2211yescharacteristic, complemented
241#124×D73C2212yescomplemented
242#17989100C2212yescomplemented
243#17989097C2214yescomplemented
244#17989097C2214yescomplemented
245#17989097C2214yescomplemented
246#17989097C2214yescomplemented
247#17989097C2212yescomplemented
248#17989097C2212yescomplemented
249#17989097C2211yescharacteristic, complemented
250#17989097C2211yescharacteristic, complemented
251#17989095C2214yescomplemented
252#17989095C2214yescomplemented
253#17989094C2212yescomplemented
254#17989093C2214yescomplemented
255#17989093C2214yescomplemented
256#17989093C2214yescomplemented
257#17989093C2214yescomplemented
258#123×D73C2212yescomplemented
259C22⋊Q8×D73C2211yescharacteristic, complemented
260#121×D73C2211yescharacteristic
261#121×D73C2212yescomplemented
262#121×D73C2212yescomplemented
263#41×Dic73C2212yescomplemented
264#41×Dic73C2212yescomplemented
265C4×#11924029C2212yescomplemented
266#17989055C2212yescomplemented
267C4×#11924027C2211yescharacteristic, complemented
268C4×#11924027C2212yescomplemented
269C4×#11924027C2211yescharacteristic, complemented
270C4×#11924027C2212yescomplemented
271C4×Q8×D73C2211yescharacteristic, complemented
272C2×D4×Dic73C2212yescomplemented
273C2×#14556553C2212yescomplemented
274C2×#14556551C2214yescomplemented
275C4×D4×D73C2212yescomplemented
276C4×D4×D73C2214yescomplemented
277C4×D4×D73C2212yescomplemented
278C4×D4×D73C2211yescharacteristic, complemented
279C4×D4×D73C2212yescomplemented
280#117×D73C2212yescomplemented
281C2×C42×D73C2211yescharacteristic, complemented
282#560×C73C2214yescomplemented
283#556×C73C2211yescharacteristic, complemented
284#553×C73C2212yescomplemented
285#550×C73C2211yescharacteristic, complemented
286#550×C73C2212yescomplemented
287#547×C73C2211yescharacteristic, complemented
288#546×C73C2212yescomplemented
289#546×C73C2212yescomplemented
290D42×C73C2211yescharacteristic, complemented
291#542×C73C2212yescomplemented
292#538×C73C2214yescomplemented
293#537×C73C2212yescomplemented
294#535×C73C2212yescomplemented
295#535×C73C2212yescomplemented
296#532×C73C2211yescharacteristic, complemented
297#532×C73C2211yescharacteristic, complemented
298#529×C73C2211yescharacteristic, complemented
299C2×#11924029C2312yes—
300C2×#11924028C2312yes—
301C2×#11924028C2314yes—
302C2×#11924028C2312yes—
303C2×#11924028C2312yes—
304C2×#11924028C2314yes—
305C2×#11924027—48no—
306C2×#11924027C2311yescharacteristic
307C2×#11924027C2312yes—
308C2×#11924027C2311yescharacteristic
309C2×#11924027C2314yes—
310C2×#11924027C2314yes—
311C2×#11924027C2314yes—
312C2×#11924027C2312yes—
313C2×#11924027C2312yes—
314C2×#11924027C2312yes—
315C2×#11924027C2314yes—
316#41×D73—48no—
317#41×D73—48no—
318C22×Dic146C2312yes—
319C2×Q8×D73C2312yes—
320C2×Q8×D73C2312yes—
321C2×Q8×D73C2311yescharacteristic
322C22×D292C2312yes—
323C22×C22⋊D73C2314yes—
324C22×C22⋊D73C2314yes—
325C2×D4×D73C2312yes—
326C2×D4×D73C2312yes—
327C2×D4×D73C2312yes—
328C2×D4×D73C2314yes—
329C2×D4×D73C2314yes—
330C2×D4×D73C2312yes—
331C2×D4×D73C2314yes—
332C2×D4×D73C2312yes—
333C2×D4×D73C2311yescharacteristic
334C23×Dic73C2314yes—
335C22×C4×D73C2311yescharacteristic
336C22×C4×D73C2312yes—
337C22×C4×D73C2314yes—
338C22×C4×D73C2314yes—
339C22×C4×D73C2311yescharacteristic
340C22×C4×D73C2311yescharacteristic
341#14556591C2311yescharacteristic
342#14556591C2311yescharacteristic
343#14556591C2311yescharacteristic
344#14556591C2312yes—
345#14556591C2314yes—
346#14556590C2312yes—
347#14556590C2312yes—
348#14556590C2312yes—
349#14556590C2314yes—
350#14556590C2312yes—
351#14556589C2312yes—
352#14556589C2312yes—
353#14556588C2311yescharacteristic
354#14556587C2312yes—
355#14556587C2312yes—
356#14556587C2312yes—
357#14556587C2314yes—
358#14556587C2312yes—
359#14556587C2312yes—
360#14556587C2312yes—
361#14556586C2312yes—
362#14556586C2314yes—
363#14556586C2314yes—
364#14556586C2312yes—
365#14556586C2314yes—
366#14556586C2312yes—
367#14556586C2314yes—
368#14556585C2312yes—
369#14556585C2314yes—
370#14556585C2314yes—
371#14556584C2312yes—
372#14556584C2314yes—
373#14556584C2314yes—
374#14556584C2314yes—
375#14556584C2314yes—
376#14556584C2312yes—
377#14556584C2314yes—
378#14556584C2314yes—
379#14556584C2312yes—
380#14556584C2312yes—
381#14556584C2312yes—
382#14556584C2312yes—
383#14556584C2312yes—
384#14556583C2311yescharacteristic
385#14556583C2312yes—
386#14556583C2314yes—
387#14556582C2314yes—
388#14556582C2311yescharacteristic
389#14556582C2312yes—
390#14556582C2311yescharacteristic
391#14556582C2311yescharacteristic
392#14556582C2311yescharacteristic
393#14556582C2312yes—
394#14556582C2314yes—
395#14556582C2312yes—
396#14556581C2312yes—
397#14556581C2314yes—
398#14556581C2314yes—
399#14556581C2314yes—
400#14556581C2312yes—
401#14556580C2311yescharacteristic
402#14556580C2314yes—
403#14556580C2312yes—
404#14556580C2312yes—
405#14556579C2311yescharacteristic
406#14556579C2312yes—
407#14556579C2312yes—
408#14556578C2312yes—
409#14556578C2311yescharacteristic
410#14556578C2312yes—
411#14556578C2311yescharacteristic
412#14556578C2312yes—
413#14556578C2314yes—
414#14556578C2314yes—
415#14556578C2312yes—
416#14556578C2311yescharacteristic
417#14556578C2312yes—
418#14556578C2314yes—
419#14556577C2312yes—
420#14556577C2314yes—
421#14556577C2314yes—
422#14556577C2314yes—
423#14556577C2314yes—
424#14556577C2314yes—
425#14556577C2314yes—
426#14556577C2314yes—
427#14556577C2314yes—
428#14556577C2314yes—
429#14556577C2312yes—
430#14556576C2312yes—
431#14556576C2314yes—
432#14556576C2314yes—
433#14556576C2312yes—
434#14556576C2314yes—
435#14556575C2314yes—
436#14556575C2314yes—
437#14556575C2312yes—
438#14556575C2314yes—
439#14556575C2314yes—
440#14556575C2314yes—
441#14556575C2314yes—
442#14556575C2314yes—
443#14556574C2312yes—
444#14556574C2314yes—
445#14556574C2314yes—
446#14556574C2314yes—
447#14556573C2312yes—
448#14556573C2314yes—
449#14556573C2314yes—
450#14556573C2312yes—
451#14556573C2314yes—
452#14556573C2312yes—
453#14556573C2314yes—
454#14556573C2314yes—
455#14556573C2314yes—
456#14556573C2314yes—
457#14556573C2314yes—
458#14556573C2314yes—
459#14556573C2314yes—
460#14556573C2314yes—
461#14556573C2314yes—
462#14556573C2314yes—
463#14556573C2312yes—
464#14556573C2312yes—
465#14556573C2312yes—
466#14556572C2314yes—
467#14556572C2314yes—
468#14556572C2314yes—
469#14556572C2314yes—
470#14556572C2314yes—
471#14556572C2312yes—
472#14556572C2314yes—
473#14556572C2314yes—
474#14556572C2312yes—
475#14556572C2312yes—
476#14556571C2311yescharacteristic
477#14556571C2312yes—
478#14556571C2311yescharacteristic
479#14556571C2311yescharacteristic
480#14556571C2314yes—
481#14556571C2314yes—
482#14556571C2314yes—
483#14556571C2312yes—
484#14556571C2314yes—
485#14556570C2311yescharacteristic
486#14556570C2311yescharacteristic
487#14556570C2311yescharacteristic
488#14556570C2312yes—
489#14556570C2314yes—
490#14556570C2314yes—
491#14556570C2312yes—
492#14556570C2314yes—
493#14556570C2314yes—
494#14556570C2314yes—
495#14556570C2312yes—
496#14556569C2312yes—
497#14556569C2314yes—
498#14556569C2314yes—
499#14556569C2314yes—
500#14556569C2314yes—
501#14556569C2314yes—
502#14556569C2314yes—
503#14556568C2314yes—
504#14556568C2314yes—
505#14556568C2314yes—
506#14556568C2314yes—
507#14556568C2314yes—
508#14556568C2314yes—
509#14556568C2314yes—
510#14556568C2314yes—
511#14556568C2314yes—
512#14556568C2312yes—
513#14556567C2311yescharacteristic
514#14556567C2312yes—
515#14556567C2312yes—
516#14556567C2314yes—
517#14556567C2312yes—
518#14556566C2311yescharacteristic
519#14556566C2312yes—
520#14556566C2312yes—
521#14556566C2312yes—
522#14556565C2311yescharacteristic
523#14556565C2314yes—
524#14556565C2312yes—
525#14556565C2312yes—
526#14556565C2312yes—
527#14556565C2312yes—
528#14556565C2314yes—
529#14556565C2312yes—
530#14556565C2312yes—
531#14556564C2312yes—
532#14556564C2314yes—
533#14556564C2314yes—
534#14556564C2314yes—
535#14556564C2314yes—
536#14556564C2314yes—
537#14556564C2314yes—
538#14556564C2314yes—
539#14556564C2314yes—
540#14556564C2314yes—
541#14556564C2314yes—
542#14556563C2314yes—
543#14556563C2314yes—
544#14556563C2314yes—
545#14556563C2314yes—
546#14556563C2314yes—
547#14556563C2314yes—
548#14556563C2314yes—
549#14556563C2314yes—
550#14556563C2314yes—
551#14556563C2314yes—
552#14556563C2314yes—
553#14556563C2314yes—
554#14556563C2314yes—
555#14556563C2314yes—
556#14556563C2314yes—
557#14556563C2312yes—
558#14556562C2312yes—
559#14556562C2312yes—
560#14556562C2312yes—
561#14556562C2312yes—
562#14556562C2312yes—
563#14556562C2314yes—
564#14556562C2314yes—
565#14556562C2314yes—
566#14556562C2314yes—
567#14556562C2314yes—
568#14556562C2314yes—
569#14556562C2311yescharacteristic
570#14556562C2311yescharacteristic
571#14556562C2314yes—
572#14556562C2314yes—
573#14556562C2314yes—
574#14556562C2314yes—
575#14556562C2312yes—
576#14556562C2314yes—
577#14556562C2311yescharacteristic
578#14556561C2314yes—
579#14556561C2314yes—
580#14556561C2314yes—
581#14556560C2314yes—
582#14556560C2314yes—
583#14556560C2314yes—
584#14556560C2314yes—
585#14556559C2314yes—
586#14556559C2314yes—
587#14556559C2314yes—
588#14556559C2314yes—
589#14556559C2314yes—
590#14556559C2314yes—
591#14556559C2314yes—
592#14556559C2314yes—
593#14556559C2314yes—
594#14556559C2314yes—
595#14556559C2314yes—
596#14556559C2312yes—
597#14556559C2312yes—
598Q8×Dic73C2311yescharacteristic
599Q8×Dic73C2312yes—
600Q8×Dic73C2312yes—
601Q8×Dic73C2312yes—
602Q8×Dic73C2312yes—
603C4×Dic146C2311yescharacteristic
604C4×Dic146C2311yescharacteristic
605C4×Dic146C2311yescharacteristic
606C4×Dic146C2312yes—
607C4×Dic146C2312yes—
608C4×Dic146C2312yes—
609#14556556C2312yes—
610#14556556C2312yes—
611#14556556C2311yescharacteristic
612#14556556C2311yescharacteristic
613#14556556C2311yescharacteristic
614#14556556C2312yes—
615#14556556C2312yes—
616C4×D292C2311yescharacteristic
617C4×D292C2312yes—
618C4×D292C2312yes—
619C4×D292C2312yes—
620C4×D292C2314yes—
621C4×D292C2314yes—
622C4×D292C2312yes—
623D4×Dic73C2312yes—
624D4×Dic73C2311yescharacteristic
625D4×Dic73C2312yes—
626D4×Dic73C2312yes—
627D4×Dic73C2312yes—
628D4×Dic73C2314yes—
629D4×Dic73C2312yes—
630D4×Dic73C2312yes—
631D4×Dic73C2311yescharacteristic
632D4×Dic73C2311yescharacteristic
633D4×Dic73C2314yes—
634D4×Dic73C2312yes—
635D4×Dic73C2312yes—
636D4×Dic73C2314yes—
637D4×Dic73C2312yes—
638D4×Dic73C2312yes—
639D4×Dic73C2314yes—
640D4×Dic73C2312yes—
641D4×Dic73C2312yes—
642D4×Dic73C2312yes—
643D4×Dic73C2312yes—
644D4×Dic73C2314yes—
645#14556553C2312yes—
646#14556553C2312yes—
647#14556553C2314yes—
648#14556553C2311yescharacteristic
649#14556553C2312yes—
650#14556553C2314yes—
651#14556553C2312yes—
652#14556553C2312yes—
653#14556553C2314yes—
654#14556553C2312yes—
655#14556553C2312yes—
656C4×C22⋊D73C2312yes—
657C4×C22⋊D73C2314yes—
658C4×C22⋊D73C2314yes—
659C4×C22⋊D73C2314yes—
660C4×C22⋊D73C2314yes—
661C4×C22⋊D73C2314yes—
662C4×C22⋊D73C2312yes—
663C4×C22⋊D73C2312yes—
664C4×C22⋊D73C2312yes—
665C4×C22⋊D73C2312yes—
666C4×C22⋊D73C2312yes—
667C4×C22⋊D73C2312yes—
668#14556551C2314yes—
669#14556551C2314yes—
670#14556551C2314yes—
671#14556551C2314yes—
672#14556551C2312yes—
673#14556551C2312yes—
674#14556551C2312yes—
675#14556551C2314yes—
676#14556551C2314yes—
677#14556551C2314yes—
678#14556551C2314yes—
679#14556551C2314yes—
680#14556551C2314yes—
681#14556551C2314yes—
682#14556551C2314yes—
683#14556551C2312yes—
684#14556551C2312yes—
685#14556551C2312yes—
686#14556551C2312yes—
687#14556550C2312yes—
688#14556550C2312yes—
689#14556550C2312yes—
690#14556550C2312yes—
691#14556550C2312yes—
692#14556550C2314yes—
693#14556549C2312yes—
694#14556549C2312yes—
695#14556549C2314yes—
696#14556549C2312yes—
697#14556549C2311yescharacteristic
698#14556549C2311yescharacteristic
699#14556548C2312yes—
700#14556548C2312yes—
701#14556548C2314yes—
702#14556547C2312yes—
703#14556547C2312yes—
704#14556547C2314yes—
705#14556547C2312yes—
706#14556547C2312yes—
707#14556547C2312yes—
708#14556547C2312yes—
709C2×C4⋊Dic73C2312yes—
710C2×#11924007C2314yes—
711C4⋊C4×D73C2312yes—
712C4⋊C4×D73C2312yes—
713C4⋊C4×D73C2312yes—
714C4⋊C4×D73C2312yes—
715C4⋊C4×D73C2314yes—
716C4⋊C4×D73C2312yes—
717C4⋊C4×D73C2311yescharacteristic
718C4⋊C4×D73C2311yescharacteristic
719C4⋊C4×D73C2312yes—
720C2×C22⋊Dic73C2314yes—
721C2×#11924005C2314yes—
722C2×#11924005C2314yes—
723C22⋊C4×D73C2312yes—
724C22⋊C4×D73C2312yes—
725C22⋊C4×D73C2314yes—
726C22⋊C4×D73C2314yes—
727C22⋊C4×D73C2314yes—
728C22⋊C4×D73C2312yes—
729C22⋊C4×D73C2314yes—
730C22⋊C4×D73C2312yes—
731C22⋊C4×D73C2312yes—
732C2×C4×Dic73C2311yescharacteristic
733C2×C4×Dic73C2314yes—
734C2×C4×Dic73C2312yes—
735C2×C4×Dic73C2311yescharacteristic
736C2×C4×Dic73C2312yes—
737C2×C4×Dic73C2311yescharacteristic
738C42×D73C2314yes—
739C42×D73C2311yescharacteristic
740C42×D73C2311yescharacteristic
741C42×D73C2311yescharacteristic
742C42×D73C2311yescharacteristic
743C42×D73C2311yescharacteristic
744C42×D73C2311yescharacteristic
745C42×D73C2312yes—
746C42×D73C2311yescharacteristic
747C42×D73C2311yescharacteristic
748C2×#41×C73C2312yes—
749C2×#41×C73C2312yes—
750C2×#41×C73C2312yes—
751C2×#41×C73C2312yes—
752C22×D4×C73C2312yes—
753C22×D4×C73C2312yes—
754C4⋊Q8×C73C2311yescharacteristic
755C4⋊Q8×C73C2311yescharacteristic
756#127×C73C2311yescharacteristic
757#127×C73C2311yescharacteristic
758#127×C73C2312yes—
759#127×C73C2314yes—
760#126×C73C2312yes—
761#126×C73C2314yes—
762#126×C73C2314yes—
763#125×C73C2311yescharacteristic
764#124×C73C2312yes—
765#124×C73C2312yes—
766#124×C73C2314yes—
767#124×C73C2312yes—
768#124×C73C2311yescharacteristic
769#123×C73C2314yes—
770#123×C73C2314yes—
771#123×C73C2314yes—
772#123×C73C2312yes—
773C22⋊Q8×C73C2314yes—
774C22⋊Q8×C73C2311yescharacteristic
775C22⋊Q8×C73C2312yes—
776C22⋊Q8×C73C2312yes—
777#121×C73C2312yes—
778#121×C73C2314yes—
779#121×C73C2312yes—
780#121×C73C2312yes—
781#121×C73C2312yes—
782#121×C73C2314yes—
783#121×C73C2314yes—
784#121×C73C2314yes—
785#121×C73C2314yes—
786#121×C73C2314yes—
787#121×C73C2311yescharacteristic
788#121×C73C2312yes—
789#121×C73C2312yes—
790#121×C73C2311yescharacteristic
791#121×C73C2311yescharacteristic
792#121×C73C2312yes—
793#120×C73C2314yes—
794#120×C73C2314yes—
795#120×C73C2314yes—
796#120×C73C2314yes—
797C4×Q8×C73C2311yescharacteristic
798C4×Q8×C73C2312yes—
799C4×D4×C73C2312yes—
800C4×D4×C73C2312yes—
801C4×D4×C73C2314yes—
802C4×D4×C73C2312yes—
803C4×D4×C73C2311yescharacteristic
804C4×D4×C73C2312yes—
805C4×D4×C73C2311yescharacteristic
806C4×D4×C73C2312yes—
807C4×D4×C73C2311yescharacteristic
808#117×C73C2312yes—
809#117×C73C2312yes—
810C2×C4⋊C4×C73C2312yes—
811C2×C22⋊C4×C73C2314yes—
812C2×C42×C73C2311yescharacteristic
813C23×D73C2411yescharacteristic
814C23×D73C2412yes—
815C23×D73C2414yes—
816C23×D73C2414yes—
817#11924029—28no—
818#11924028—44no—
819#11924028—44no—
820#11924028—44no—
821#11924028—48no—
822#11924028—48no—
823#11924027—24no—
824#11924027—28no—
825#11924027—24no—
826#11924027—44no—
827#11924027—44no—
828#11924027—48no—
829#11924027—48no—
830#11924027—48no—
831#11924027—48no—
832#11924027—44no—
833C2×Dic146—44no—
834C2×Dic146C2411yescharacteristic
835C2×Dic146C2411yescharacteristic
836C2×Dic146C2412yes—
837C2×Dic146C2411yescharacteristic
838C2×Dic146C2412yes—
839C2×Dic146C2412yes—
840C2×Dic146C2414yes—
841C2×Dic146C2414yes—
842C2×Dic146C2414yes—
843Q8×D73—42no—
844Q8×D73—44no—
845Q8×D73—44no—
846C2×D292—44no—
847C2×D292C2411yescharacteristic
848C2×D292C2412yes—
849C2×D292C2412yes—
850C2×D292C2414yes—
851C2×D292C2412yes—
852C2×D292C2414yes—
853C2×D292C2412yes—
854C2×C22⋊D73—48no—
855C2×C22⋊D73—48no—
856C2×C22⋊D73C2412yes—
857C2×C22⋊D73C2412yes—
858C2×C22⋊D73C2412yes—
859C2×C22⋊D73C2412yes—
860C2×C22⋊D73C2414yes—
861C2×C22⋊D73C2412yes—
862C2×C22⋊D73C2414yes—
863C2×C22⋊D73C2414yes—
864C2×C22⋊D73C2414yes—
865C2×C22⋊D73C2412yes—
866C2×C22⋊D73C2414yes—
867C2×C22⋊D73C2412yes—
868C2×C22⋊D73C2414yes—
869C2×C22⋊D73C2414yes—
870C2×C22⋊D73C2414yes—
871C2×C22⋊D73C2414yes—
872C2×C22⋊D73C2414yes—
873C2×C22⋊D73C2414yes—
874C2×C22⋊D73C2414yes—
875C2×C22⋊D73C2414yes—
876D4×D73—44no—
877D4×D73—42no—
878D4×D73—44no—
879D4×D73—44no—
880D4×D73—44no—
881D4×D73—48no—
882D4×D73—44no—
883D4×D73—48no—
884D4×D73—48no—
885C22×Dic73—48no—
886C22×Dic73C2411yescharacteristic
887C22×Dic73C2412yes—
888C22×Dic73C2414yes—
889C22×Dic73C2412yes—
890C22×Dic73C2412yes—
891C22×Dic73C2411yescharacteristic
892C22×Dic73C2411yescharacteristic
893C22×Dic73C2412yes—
894C22×Dic73C2412yes—
895C22×Dic73C2414yes—
896C22×Dic73C2414yes—
897C22×Dic73C2414yes—
898C22×Dic73C2414yes—
899C2×C4×D73—24no—
900C2×C4×D73—28no—
901C2×C4×D73—48no—
902C2×C4×D73—48no—
903C2×C4×D73—42no—
904C2×C4×D73—42no—
905C2×C4×D73C2411yescharacteristic
906C2×C4×D73C2411yescharacteristic
907C2×C4×D73C2411yescharacteristic
908C2×C4×D73C2411yescharacteristic
909C2×C4×D73C2411yescharacteristic
910C2×C4×D73C2411yescharacteristic
911C2×C4×D73C2411yescharacteristic
912C2×C4×D73C2414yes—
913C2×C4×D73C2412yes—
914C2×C4×D73C2412yes—
915C2×C4×D73C2412yes—
916C2×C4×D73C2411yescharacteristic
917C2×C4×D73C2411yescharacteristic
918C2×C4×D73C2411yescharacteristic
919C2×C4×D73C2411yescharacteristic
920C2×C4×D73C2412yes—
921C2×C4×D73C2414yes—
922C2×C4×D73C2412yes—
923C2×C4×D73C2414yes—
924C2×C4×D73C2414yes—
925C2×C4×D73C2414yes—
926C2×C4×D73C2414yes—
927C2×C4×D73C2414yes—
928C2×C4×D73C2411yescharacteristic
929C4⋊Dic73C2411yescharacteristic
930C4⋊Dic73C2412yes—
931C4⋊Dic73C2412yes—
932C4⋊Dic73C2412yes—
933C4⋊Dic73C2411yescharacteristic
934C4⋊Dic73C2412yes—
935C4⋊Dic73C2412yes—
936C4⋊Dic73C2414yes—
937C4⋊Dic73C2412yes—
938C4⋊Dic73C2414yes—
939C4⋊Dic73C2411yescharacteristic
940C4⋊Dic73C2411yescharacteristic
941C4⋊Dic73C2412yes—
942C4⋊Dic73C2414yes—
943C4⋊Dic73C2412yes—
944C4⋊Dic73C2412yes—
945C4⋊Dic73C2412yes—
946C4⋊Dic73C2412yes—
947C4⋊Dic73C2414yes—
948C4⋊Dic73C2412yes—
949C4⋊Dic73C2412yes—
950#11924007C2412yes—
951#11924007C2412yes—
952#11924007C2412yes—
953#11924007C2412yes—
954#11924007C2412yes—
955#11924007C2412yes—
956#11924007C2412yes—
957#11924007C2412yes—
958#11924007C2414yes—
959#11924007C2414yes—
960#11924007C2414yes—
961#11924007C2412yes—
962#11924007C2412yes—
963#11924007C2412yes—
964#11924007C2412yes—
965#11924007C2414yes—
966#11924007C2414yes—
967#11924007C2412yes—
968#11924007C2414yes—
969#11924007C2412yes—
970#11924007C2412yes—
971#11924007C2412yes—
972#11924007C2414yes—
973#11924007C2412yes—
974#11924007C2412yes—
975#11924007C2414yes—
976C22⋊Dic73C2412yes—
977C22⋊Dic73C2414yes—
978C22⋊Dic73C2412yes—
979C22⋊Dic73C2412yes—
980C22⋊Dic73C2414yes—
981C22⋊Dic73C2412yes—
982C22⋊Dic73C2414yes—
983C22⋊Dic73C2414yes—
984C22⋊Dic73C2412yes—
985C22⋊Dic73C2414yes—
986C22⋊Dic73C2414yes—
987C22⋊Dic73C2412yes—
988C22⋊Dic73C2412yes—
989C22⋊Dic73C2414yes—
990C22⋊Dic73C2412yes—
991C22⋊Dic73C2412yes—
992C22⋊Dic73C2412yes—
993C22⋊Dic73C2414yes—
994C22⋊Dic73C2412yes—
995C22⋊Dic73C2414yes—
996C22⋊Dic73C2412yes—
997C22⋊Dic73C2412yes—
998C22⋊Dic73C2412yes—
999C22⋊Dic73C2412yes—
1000#11924005C2412yes—
1001#11924005C2412yes—
1002#11924005C2412yes—
1003#11924005C2412yes—
1004#11924005C2412yes—
1005#11924005C2414yes—
1006#11924005C2412yes—
1007#11924005C2412yes—
1008#11924005C2412yes—
1009#11924005C2412yes—
1010#11924005C2414yes—
1011#11924005C2412yes—
1012#11924005C2414yes—
1013#11924005C2414yes—
1014#11924005C2412yes—
1015#11924005C2414yes—
1016#11924005C2412yes—
1017#11924005C2414yes—
1018#11924005C2414yes—
1019#11924005C2414yes—
1020#11924005C2414yes—
1021#11924005C2414yes—
1022#11924005C2412yes—
1023#11924005C2412yes—
1024#11924005C2414yes—
1025#11924005C2414yes—
1026C4×Dic73C2412yes—
1027C4×Dic73C2411yescharacteristic
1028C4×Dic73C2411yescharacteristic
1029C4×Dic73C2411yescharacteristic
1030C4×Dic73C2411yescharacteristic
1031C4×Dic73C2411yescharacteristic
1032C4×Dic73C2412yes—
1033C4×Dic73C2411yescharacteristic
1034C4×Dic73C2411yescharacteristic
1035C4×Dic73C2411yescharacteristic
1036C4×Dic73C2411yescharacteristic
1037C4×Dic73C2411yescharacteristic
1038C4×Dic73C2411yescharacteristic
1039C4×Dic73C2411yescharacteristic
1040C4×Dic73C2412yes—
1041C4×Dic73C2412yes—
1042C4×Dic73C2414yes—
1043C4×Dic73C2412yes—
1044C4×Dic73C2412yes—
1045C4×Dic73C2412yes—
1046C4×Dic73C2414yes—
1047C4×Dic73C2412yes—
1048C4×Dic73C2412yes—
1049C4×Dic73C2414yes—
1050C24×C73C2414yes—
1051#41×C73—44no—
1052#41×C73—44no—
1053#41×C73—44no—
1054#41×C73—44no—
1055C2×Q8×C73C2411yescharacteristic
1056C2×Q8×C73C2412yes—
1057C2×Q8×C73C2412yes—
1058C2×D4×C73—44no—
1059C2×D4×C73—44no—
1060C2×D4×C73C2411yescharacteristic
1061C2×D4×C73C2412yes—
1062C2×D4×C73C2411yescharacteristic
1063C2×D4×C73C2412yes—
1064C2×D4×C73C2411yescharacteristic
1065C2×D4×C73C2412yes—
1066C2×D4×C73C2412yes—
1067C2×D4×C73C2412yes—
1068C2×D4×C73C2414yes—
1069C2×D4×C73C2412yes—
1070C2×D4×C73C2414yes—
1071C2×D4×C73C2412yes—
1072C2×D4×C73C2414yes—
1073C2×D4×C73C2414yes—
1074C2×D4×C73C2414yes—
1075C2×D4×C73C2414yes—
1076C2×D4×C73C2412yes—
1077C22×C4×C73C2411yescharacteristic
1078C22×C4×C73C2411yescharacteristic
1079C22×C4×C73C2412yes—
1080C22×C4×C73C2412yes—
1081C22×C4×C73C2412yes—
1082C22×C4×C73C2411yescharacteristic
1083C22×C4×C73C2414yes—
1084C22×C4×C73C2414yes—
1085C22×C4×C73C2414yes—
1086C4⋊C4×C73C2411yescharacteristic
1087C4⋊C4×C73C2412yes—
1088C4⋊C4×C73C2414yes—
1089C4⋊C4×C73C2411yescharacteristic
1090C4⋊C4×C73C2412yes—
1091C4⋊C4×C73C2412yes—
1092C4⋊C4×C73C2411yescharacteristic
1093C4⋊C4×C73C2412yes—
1094C4⋊C4×C73C2411yescharacteristic
1095C4⋊C4×C73C2412yes—
1096C4⋊C4×C73C2412yes—
1097C4⋊C4×C73C2414yes—
1098C4⋊C4×C73C2412yes—
1099C22⋊C4×C73C2412yes—
1100C22⋊C4×C73C2412yes—
1101C22⋊C4×C73C2414yes—
1102C22⋊C4×C73C2414yes—
1103C22⋊C4×C73C2414yes—
1104C22⋊C4×C73C2412yes—
1105C22⋊C4×C73C2412yes—
1106C22⋊C4×C73C2412yes—
1107C22⋊C4×C73C2412yes—
1108C22⋊C4×C73C2412yes—
1109C22⋊C4×C73C2414yes—
1110C22⋊C4×C73C2414yes—
1111C22⋊C4×C73C2414yes—
1112C22⋊C4×C73C2414yes—
1113C22⋊C4×C73C2412yes—
1114C22⋊C4×C73C2412yes—
1115C42×C73C2411yescharacteristic
1116C42×C73C2411yescharacteristic
1117C42×C73C2411yescharacteristic
1118C42×C73C2411yescharacteristic
1119C42×C73C2412yes—
1120C42×C73C2414yes—
1121C23×C73—44no—
1122C23×C73—44no—
1123C23×C73—44no—
1124C23×C73C2512yes—
1125C23×C73C2512yes—
1126C23×C73C2514yes—
1127C23×C73C2512yes—
1128C23×C73C2511yescharacteristic
1129C22×D73—22no—
1130C22×D73—22no—
1131C22×D73—24no—
1132C22×D73—28no—
1133C22×D73—41no—
1134C22×D73—44no—
1135C22×D73—44no—
1136C22×D73—42no—
1137C22×D73—44no—
1138C22×D73—42no—
1139C22×D73—44no—
1140C22×D73—44no—
1141C22×D73C2512yes—
1142C22×D73C2514yes—
1143C22×D73C2511yescharacteristic
1144C22×D73C2511yescharacteristic
1145Q8×C73—24no—
1146Q8×C73—22no—
1147Q8×C73—42no—
1148D4×C73—22no—
1149D4×C73—24no—
1150D4×C73—22no—
1151D4×C73—22no—
1152D4×C73—24no—
1153D4×C73—44no—
1154D4×C73—44no—
1155D4×C73—44no—
1156D4×C73—42no—
1157D4×C73—42no—
1158D4×C73—42no—
1159D4×C73—44no—
1160D4×C73—44no—
1161D4×C73—42no—
1162D4×C73—44no—
1163D4×C73—42no—
1164D4×C73—42no—
1165C2×C4×C73—24no—
1166C2×C4×C73—22no—
1167C2×C4×C73—24no—
1168C2×C4×C73—22no—
1169C2×C4×C73—24no—
1170C2×C4×C73—44no—
1171C2×C4×C73—44no—
1172C2×C4×C73—44no—
1173C2×C4×C73—41no—
1174C2×C4×C73C2512yes—
1175C2×C4×C73C2511yescharacteristic
1176C2×C4×C73C2511yescharacteristic
1177C2×C4×C73C2511yescharacteristic
1178C2×C4×C73C2511yescharacteristic
1179C2×C4×C73C2512yes—
1180C2×C4×C73C2512yes—
1181C2×C4×C73C2514yes—
1182C2×C4×C73C2512yes—
1183C2×C4×C73C2512yes—
1184C2×C4×C73C2511yescharacteristic
1185C2×C4×C73C2511yescharacteristic
1186C22⋊D73—24no—
1187C22⋊D73—28no—
1188C22⋊D73—24no—
1189C22⋊D73—24no—
1190C22⋊D73—24no—
1191C22⋊D73—24no—
1192C22⋊D73—42no—
1193C22⋊D73—44no—
1194C22⋊D73—44no—
1195C22⋊D73—44no—
1196C22⋊D73—42no—
1197C22⋊D73—44no—
1198C22⋊D73—44no—
1199C22⋊D73—44no—
1200C22⋊D73—44no—
1201C22⋊D73—44no—
1202C22⋊D73—44no—
1203C22⋊D73—44no—
1204C22⋊D73—44no—
1205C22⋊D73—44no—
1206C2×Dic73—24no—
1207C2×Dic73—22no—
1208C2×Dic73—24no—
1209C2×Dic73—28no—
1210C2×Dic73—24no—
1211C2×Dic73—41no—
1212C2×Dic73—41no—
1213C2×Dic73—44no—
1214C2×Dic73—44no—
1215C2×Dic73—44no—
1216C2×Dic73—44no—
1217C2×Dic73—42no—
1218C2×Dic73—42no—
1219C2×Dic73C2511yescharacteristic
1220C2×Dic73C2512yes—
1221C2×Dic73C2511yescharacteristic
1222C2×Dic73C2512yes—
1223C2×Dic73C2512yes—
1224C2×Dic73C2512yes—
1225C2×Dic73C2511yescharacteristic
1226C2×Dic73C2511yescharacteristic
1227C2×Dic73C2511yescharacteristic
1228C2×Dic73C2512yes—
1229C2×Dic73C2514yes—
1230C2×Dic73C2512yes—
1231C2×Dic73C2512yes—
1232C2×Dic73C2511yescharacteristic
1233D292—28no—
1234D292—24no—
1235D292—24no—
1236D292—22no—
1237D292—24no—
1238D292—42no—
1239D292—44no—
1240C4×D73—24no—
1241C4×D73—22no—
1242C4×D73—22no—
1243C4×D73—22no—
1244C4×D73—22no—
1245C4×D73—24no—
1246C4×D73—22no—
1247C4×D73—22no—
1248C4×D73—22no—
1249C4×D73—24no—
1250C4×D73—28no—
1251C4×D73—41no—
1252C4×D73—41no—
1253C4×D73—41no—
1254C4×D73—41no—
1255C4×D73—44no—
1256C4×D73—44no—
1257C4×D73—44no—
1258C4×D73—44no—
1259C4×D73—44no—
1260C4×D73—42no—
1261C4×D73—42no—
1262C4×D73—44no—
1263C4×D73H(5,𝔽2)14yes—
1264Dic146—22no—
1265Dic146—24no—
1266Dic146—22no—
1267Dic146—22no—
1268Dic146—42no—
1269Dic146—44no—
1270Dic146—44no—
1271Dic146—44no—
1272Dic146—42no—
1273C22×C73—22no—
1274C22×C73—22no—
1275C22×C73—24no—
1276C22×C73—22no—
1277C22×C73—21no—
1278C22×C73—22no—
1279C22×C73—22no—
1280C22×C73—21no—
1281C22×C73—24no—
1282C22×C73—21no—
1283C22×C73—22no—
1284C22×C73—22no—
1285C22×C73—24no—
1286C22×C73—22no—
1287C22×C73—22no—
1288C22×C73—88no—
1289C22×C73C2611yescharacteristic
1290C2×D73—21no—
1291C2×D73—21no—
1292C2×D73—21no—
1293C2×D73—21no—
1294C2×D73—22no—
1295C2×D73—24no—
1296C2×D73—24no—
1297C2×D73—24no—
1298C2×D73—22no—
1299C2×D73—22no—
1300C2×D73—44no—
1301C2×D73—88no—
1302C2×D73—84no—
1303C2×D73—88no—
1304C2×D73C2×H(5,𝔽2)12yes—
1305C2×D73#58512yes—
1306C4×C73—22no—
1307C4×C73—24no—
1308C4×C73—21no—
1309C4×C73—21no—
1310C4×C73—22no—
1311C4×C73—21no—
1312C4×C73—22no—
1313C4×C73—22no—
1314C4×C73—21no—
1315C4×C73—22no—
1316C4×C73C2×H(5,𝔽2)12yes—
1317C4×C73#58512yes—
1318Dic73—22no—
1319Dic73—24no—
1320Dic73—22no—
1321Dic73—21no—
1322Dic73—22no—
1323Dic73—22no—
1324Dic73—21no—
1325Dic73—22no—
1326Dic73—22no—
1327Dic73—21no—
1328Dic73—21no—
1329Dic73—21no—
1330Dic73—22no—
1331Dic73C2×H(5,𝔽2)12yes—
1332#62748—731nomaximal, Sylow
1333C2×C73—41no—
1334C2×C73—42no—
1335C2×C73—44no—
1336C2×C73—42no—
1337C2×C73—42no—
1338C2×C73C22×H(5,𝔽2)11yescharacteristic
1339C2×C73C2×#58511yescharacteristic
1340C2×C73C2×#58511yescharacteristic
1341D73—22no—
1342D73—22no—
1343D73—44no—
1344D73—42no—
1345#3562—732no—
1346#3562—732no—
1347#3561—732no—
1348#3560—734no—
1349#3559—732no—
1350#3558—732no—
1351#3558—732no—
1352#3554—731no—
1353#3554—731no—
1354#3552—731no—
1355#3552—731no—
1356#3546—731no—
1357#3546D7311yescharacteristic, complemented
1358#3543—731no—
1359#3543—731no—
1360#3537—732no—
1361#3536—732no—
1362#3534—734no—
1363#3529—734no—
1364#3481—732no—
1365#3481—732no—
1366#3480—731no—
1367#3480—731no—
1368D4×#41—732no—
1369D4×#41—731no—
1370D4×#41—732no—
1371D4×#41—731no—
1372#3460—732no—
1373#3460—732no—
1374#3459—734no—
1375#3455—732no—
1376#3449—732no—
1377#3444—731no—
1378C2×#532—731no—
1379C2×#529—731no—
1380C73#6274811yescharacteristic, complemented, Sylow
1381C22×#41—732no—
1382C22×#41—732no—
1383C22×#41—732no—
1384#563—734no—
1385#563—734no—
1386#563—734no—
1387#562—734no—
1388#562—734no—
1389#562—734no—
1390#562—734no—
1391#562—734no—
1392#562—734no—
1393H(3,𝔽4)—734no—
1394#560—734no—
1395#560—734no—
1396#560—734no—
1397#560—734no—
1398#560—734no—
1399#560C2×D7314yescomplemented
1400#559—731no—
1401#559—732no—
1402#559—732no—
1403#559—732no—
1404#559—731no—
1405#559—732no—
1406#557—731no—
1407#557—731no—
1408#556—732no—
1409#556—731no—
1410#556—732no—
1411#556C2×D7311yescharacteristic, complemented
1412#554—732no—
1413#554—732no—
1414#554—732no—
1415#554—732no—
1416#553—734no—
1417#553—734no—
1418#553—734no—
1419#553—732no—
1420#553—734no—
1421#553—732no—
1422#553—732no—
1423#553—732no—
1424#553—732no—
1425#553C2×D7312yescomplemented
1426#551—734no—
1427#551—734no—
1428#551—734no—
1429#551—734no—
1430#550—731no—
1431#550—732no—
1432#550—731no—
1433#550—731no—
1434#550C2×D7312yescomplemented
1435#550C2×D7311yescharacteristic, complemented
1436D4×Q8—731no—
1437D4×Q8—732no—
1438D4×Q8—732no—
1439D4×Q8—731no—
1440#548—732no—
1441#548—732no—
1442#548—732no—
1443#548—732no—
1444#548—732no—
1445#548—732no—
1446#548—732no—
1447#548—732no—
1448#547—732no—
1449#547—734no—
1450#547—732no—
1451#547—731no—
1452#547—732no—
1453#547—734no—
1454#547—732no—
1455#547C2×D7311yescharacteristic, complemented
1456#546—732no—
1457#546—732no—
1458#546—732no—
1459#546—734no—
1460#546—734no—
1461#546—734no—
1462#546—734no—
1463#546—732no—
1464#546—732no—
1465#546—734no—
1466#546—732no—
1467#546—734no—
1468#546—734no—
1469#546—732no—
1470#546—732no—
1471#546—734no—
1472#546C2×D7312yescomplemented
1473#546C2×D7312yescomplemented
1474D42—732no—
1475D42—732no—
1476D42—732no—
1477D42—734no—
1478D42—732no—
1479D42—732no—
1480D42—732no—
1481D42—734no—
1482D42—731no—
1483D42C2×D7311yescharacteristic, complemented
1484#544—732no—
1485#544—732no—
1486#543—734no—
1487#542—732no—
1488#542—732no—
1489#542—734no—
1490#542—732no—
1491#542—732no—
1492#542—734no—
1493#542—732no—
1494#542—732no—
1495#542—732no—
1496#542C2×D7312yescomplemented
1497#541—732no—
1498#541—732no—
1499#540—734no—
1500#540—732no—
1501#540—734no—
1502#540—732no—
1503#540—732no—
1504#540—732no—
1505#540—732no—
1506#540—732no—
1507#539—734no—
1508#539—734no—
1509#539—734no—
1510#539—734no—
1511#539—734no—
1512#539—734no—
1513#539—734no—
1514#539—734no—
1515#538—734no—
1516#538—734no—
1517#538—734no—
1518#538—734no—
1519#538—734no—
1520#538—734no—
1521#538—734no—
1522#538—734no—
1523#538—734no—
1524#538—734no—
1525#538—734no—
1526#538C2×D7314yescomplemented
1527#537—732no—
1528#537—734no—
1529#537—734no—
1530#537C2×D7312yescomplemented
1531#536—732no—
1532#536—732no—
1533#536—732no—
1534#536—732no—
1535#535—732no—
1536#535—732no—
1537#535—732no—
1538#535—732no—
1539#535—732no—
1540#535—732no—
1541#535C2×D7312yescomplemented
1542#535C2×D7312yescomplemented
1543#534—734no—
1544#534—734no—
1545#534—734no—
1546#534—734no—
1547#534—734no—
1548#533—731no—
1549#533—731no—
1550#533—731no—
1551#532—732no—
1552#532—731no—
1553#532—731no—
1554#532—731no—
1555#532—731no—
1556#532—732no—
1557#532—734no—
1558#532—732no—
1559#532—732no—
1560#532—732no—
1561#532—732no—
1562#532—732no—
1563#532—732no—
1564#532—734no—
1565#532—732no—
1566#532—732no—
1567#532—731no—
1568#532C2×D7311yescharacteristic, complemented
1569#532C2×D7311yescharacteristic, complemented
1570C2×C4⋊Q8—731no—
1571C2×#127—731no—
1572#529—732no—
1573#529—734no—
1574#529—734no—
1575#529—731no—
1576#529—731no—
1577#529—732no—
1578#529—732no—
1579#529—734no—
1580#529—732no—
1581#529—734no—
1582#529—731no—
1583#529—734no—
1584#529—732no—
1585#529—731no—
1586#529—732no—
1587#529—731no—
1588#529—731no—
1589#529—734no—
1590#529—732no—
1591#529—731no—
1592#529—731no—
1593#529—732no—
1594#529—731no—
1595#529—731no—
1596#529—732no—
1597#529—732no—
1598#529—731no—
1599#529C2×D7311yescharacteristic, complemented
1600C2×#126—732no—
1601C2×#125—731no—
1602C2×#124—731no—
1603C2×#124—732no—
1604#525—732no—
1605#525—734no—
1606#525—734no—
1607#525—732no—
1608#525—731no—
1609#525—731no—
1610#525—732no—
1611#525—734no—
1612#525—734no—
1613#525—732no—
1614#525—734no—
1615#525—734no—
1616#525—734no—
1617#525—734no—
1618#525—734no—
1619#525—734no—
1620C2×#123—732no—
1621C2×C22⋊Q8—731no—
1622C2×#121—731no—
1623C2×#121—732no—
1624C2×#121—732no—
1625C4×#41—732no—
1626C4×#41—732no—
1627C4×#41—732no—
1628C4×#41—731no—
1629C4×#41—731no—
1630C4×#41—732no—
1631C4×#41—732no—
1632C4×#41—732no—
1633C2×C4×Q8—731no—
1634C2×C4×D4—732no—
1635C2×C4×D4—732no—
1636C2×C4×D4—731no—
1637C2×C4×D4—732no—
1638C2×C4×D4—732no—
1639C2×C4×D4—734no—
1640C2×C4×D4—732no—
1641C2×C4×D4—734no—
1642C2×#117—732no—
1643C22×C42—731no—
1644C2×#41—2928no—
1645C2×#41—2928no—
1646C2×#41—2928no—
1647C2×#41—732no—
1648C2×#41—732no—
1649C2×#41—734no—
1650C2×#41—734no—
1651C2×#41—734no—
1652C2×#41—732no—
1653C2×#41—732no—
1654C2×#41—734no—
1655C2×#41—731no—
1656C2×#41—732no—
1657C2×#41—731no—
1658C2×#41—732no—
1659C2×#41—734no—
1660C2×#41—732no—
1661C2×#41—732no—
1662C2×#41—734no—
1663C2×#41C22×D7312yes—
1664C2×#41C22×D7312yes—
1665C2×#41C22×D7312yes—
1666C2×#41C22×D7312yes—
1667C22×Q8—731no—
1668C22×Q8—732no—
1669C22×Q8—732no—
1670C22×Q8—732no—
1671C22×D4—734no—
1672C22×D4—734no—
1673C22×D4—732no—
1674C22×D4—731no—
1675C22×D4—732no—
1676C22×D4—732no—
1677C22×D4—734no—
1678C22×D4—734no—
1679C22×D4—732no—
1680C22×D4—734no—
1681C22×D4—732no—
1682C22×D4—732no—
1683C22×D4C22×D7312yes—
1684C22×D4C22×D7312yes—
1685C23×C4—734no—
1686C23×C4—734no—
1687C23×C4—734no—
1688C23×C4—731no—
1689C23×C4—731no—
1690C23×C4—732no—
1691C23×C4—731no—
1692C4⋊Q8—732no—
1693C4⋊Q8—732no—
1694C4⋊Q8—732no—
1695C4⋊Q8—732no—
1696C4⋊Q8—732no—
1697C4⋊Q8—732no—
1698C4⋊Q8—734no—
1699C4⋊Q8—731no—
1700C4⋊Q8—731no—
1701C4⋊Q8—731no—
1702C4⋊Q8—732no—
1703C4⋊Q8—734no—
1704C4⋊Q8C22×D7311yescharacteristic
1705C4⋊Q8C22×D7311yescharacteristic
1706#127—732no—
1707#127—732no—
1708#127—732no—
1709#127—732no—
1710#127—732no—
1711#127—732no—
1712#127—734no—
1713#127—731no—
1714#127C22×D7311yescharacteristic
1715#127C22×D7311yescharacteristic
1716#127C22×D7312yes—
1717#127C22×D7314yes—
1718#126—732no—
1719#126—732no—
1720#126—732no—
1721#126—734no—
1722#126—734no—
1723#126—734no—
1724#126—734no—
1725#126—732no—
1726#126—732no—
1727#126—732no—
1728#126—732no—
1729#126—732no—
1730#126—732no—
1731#126—732no—
1732#126—734no—
1733#126—734no—
1734#126—734no—
1735#126—734no—
1736#126—734no—
1737#126—734no—
1738#126—732no—
1739#126—734no—
1740#126—734no—
1741#126C22×D7312yes—
1742#126C22×D7314yes—
1743#126C22×D7314yes—
1744#125—732no—
1745#125—731no—
1746#125—731no—
1747#125—732no—
1748#125—731no—
1749#125—731no—
1750#125—732no—
1751#125—734no—
1752#125—734no—
1753#125—734no—
1754#125—734no—
1755#125—734no—
1756#125—732no—
1757#125—732no—
1758#125—731no—
1759#125—732no—
1760#125—734no—
1761#125C22×D7311yescharacteristic
1762#124—731no—
1763#124—732no—
1764#124—734no—
1765#124—732no—
1766#124—731no—
1767#124—732no—
1768#124—731no—
1769#124—731no—
1770#124—732no—
1771#124—732no—
1772#124—734no—
1773#124—732no—
1774#124—732no—
1775#124—734no—
1776#124—734no—
1777#124—732no—
1778#124—732no—
1779#124—734no—
1780#124—734no—
1781#124—734no—
1782#124—734no—
1783#124—734no—
1784#124—734no—
1785#124—734no—
1786#124—734no—
1787#124—734no—
1788#124—731no—
1789#124—732no—
1790#124—732no—
1791#124C22×D7311yescharacteristic
1792#124C22×D7312yes—
1793#124C22×D7312yes—
1794#124C22×D7314yes—
1795#124C22×D7312yes—
1796#123—732no—
1797#123—732no—
1798#123—732no—
1799#123—734no—
1800#123—734no—
1801#123—734no—
1802#123—734no—
1803#123—734no—
1804#123—734no—
1805#123—734no—
1806#123—732no—
1807#123—734no—
1808#123—734no—
1809#123—734no—
1810#123—732no—
1811#123—732no—
1812#123—734no—
1813#123—734no—
1814#123—734no—
1815#123—732no—
1816#123—732no—
1817#123—732no—
1818#123—732no—
1819#123—732no—
1820#123—732no—
1821#123—732no—
1822#123—734no—
1823#123—734no—
1824#123—734no—
1825#123—734no—
1826#123—734no—
1827#123—734no—
1828#123—734no—
1829#123—734no—
1830#123—734no—
1831#123—734no—
1832#123—734no—
1833#123—734no—
1834#123—734no—
1835#123—734no—
1836#123—734no—
1837#123—734no—
1838#123—734no—
1839#123—734no—
1840#123—734no—
1841#123—734no—
1842#123C22×D7312yes—
1843#123C22×D7314yes—
1844#123C22×D7314yes—
1845#123C22×D7314yes—
1846C22⋊Q8—731no—
1847C22⋊Q8—732no—
1848C22⋊Q8—732no—
1849C22⋊Q8—732no—
1850C22⋊Q8—734no—
1851C22⋊Q8—731no—
1852C22⋊Q8—731no—
1853C22⋊Q8—731no—
1854C22⋊Q8—732no—
1855C22⋊Q8—734no—
1856C22⋊Q8—734no—
1857C22⋊Q8—734no—
1858C22⋊Q8—734no—
1859C22⋊Q8—732no—
1860C22⋊Q8—732no—
1861C22⋊Q8—734no—
1862C22⋊Q8—732no—
1863C22⋊Q8—731no—
1864C22⋊Q8—732no—
1865C22⋊Q8—731no—
1866C22⋊Q8—731no—
1867C22⋊Q8—734no—
1868C22⋊Q8—734no—
1869C22⋊Q8—734no—
1870C22⋊Q8—734no—
1871C22⋊Q8—734no—
1872C22⋊Q8—734no—
1873C22⋊Q8—734no—
1874C22⋊Q8—732no—
1875C22⋊Q8—734no—
1876C22⋊Q8—734no—
1877C22⋊Q8—734no—
1878C22⋊Q8—732no—
1879C22⋊Q8—734no—
1880C22⋊Q8—734no—
1881C22⋊Q8—734no—
1882C22⋊Q8—734no—
1883C22⋊Q8—734no—
1884C22⋊Q8—734no—
1885C22⋊Q8—734no—
1886C22⋊Q8—734no—
1887C22⋊Q8—734no—
1888C22⋊Q8C22×D7311yescharacteristic
1889C22⋊Q8C22×D7312yes—
1890C22⋊Q8C22×D7314yes—
1891C22⋊Q8C22×D7312yes—
1892#121—731no—
1893#121—732no—
1894#121—734no—
1895#121—732no—
1896#121—732no—
1897#121—734no—
1898#121—732no—
1899#121—732no—
1900#121—732no—
1901#121—731no—
1902#121—731no—
1903#121—734no—
1904#121—734no—
1905#121—734no—
1906#121—734no—
1907#121—734no—
1908#121—734no—
1909#121—734no—
1910#121—734no—
1911#121—734no—
1912#121—734no—
1913#121—734no—
1914#121—734no—
1915#121—732no—
1916#121—734no—
1917#121—734no—
1918#121—734no—
1919#121—734no—
1920#121—734no—
1921#121—734no—
1922#121—734no—
1923#121—734no—
1924#121—734no—
1925#121—734no—
1926#121—734no—
1927#121—734no—
1928#121—731no—
1929#121—732no—
1930#121—732no—
1931#121—732no—
1932#121—734no—
1933#121—732no—
1934#121—732no—
1935#121—734no—
1936#121—732no—
1937#121—731no—
1938#121—732no—
1939#121—732no—
1940#121—732no—
1941#121—732no—
1942#121—734no—
1943#121—734no—
1944#121—734no—
1945#121—734no—
1946#121—734no—
1947#121—734no—
1948#121—734no—
1949#121—734no—
1950#121—734no—
1951#121—734no—
1952#121C22×D7311yescharacteristic
1953#121C22×D7312yes—
1954#121C22×D7312yes—
1955#121C22×D7311yescharacteristic
1956#121C22×D7311yescharacteristic
1957#121C22×D7312yes—
1958#121C22×D7314yes—
1959#121C22×D7314yes—
1960#121C22×D7314yes—
1961#121C22×D7314yes—
1962#121C22×D7312yes—
1963#121C22×D7314yes—
1964#121C22×D7312yes—
1965#121C22×D7312yes—
1966#121C22×D7312yes—
1967#121C22×D7314yes—
1968#120—734no—
1969#120—734no—
1970#120—734no—
1971#120—734no—
1972#120—732no—
1973#120—732no—
1974#120—734no—
1975#120—734no—
1976#120—734no—
1977#120—734no—
1978#120—734no—
1979#120—734no—
1980#120—734no—
1981#120—734no—
1982#120—734no—
1983#120—734no—
1984#120—734no—
1985#120—734no—
1986#120—734no—
1987#120—734no—
1988#120C22×D7314yes—
1989#120C22×D7314yes—
1990#120C22×D7314yes—
1991#120C22×D7314yes—
1992C4×Q8—731no—
1993C4×Q8—732no—
1994C4×Q8—732no—
1995C4×Q8—732no—
1996C4×Q8—732no—
1997C4×Q8—731no—
1998C4×Q8—732no—
1999C4×Q8—732no—
2000C4×Q8—731no—
2001C4×Q8—731no—
2002C4×Q8—732no—
2003C4×Q8—732no—
2004C4×Q8—731no—
2005C4×Q8—732no—
2006C4×Q8—731no—
2007C4×Q8—731no—
2008C4×Q8—732no—
2009C4×Q8—732no—
2010C4×Q8C22×D7311yescharacteristic
2011C4×Q8C22×D7312yes—
2012C4×D4—731no—
2013C4×D4—732no—
2014C4×D4—734no—
2015C4×D4—732no—
2016C4×D4—734no—
2017C4×D4—732no—
2018C4×D4—732no—
2019C4×D4—732no—
2020C4×D4—734no—
2021C4×D4—734no—
2022C4×D4—732no—
2023C4×D4—732no—
2024C4×D4—732no—
2025C4×D4—732no—
2026C4×D4—732no—
2027C4×D4—732no—
2028C4×D4—732no—
2029C4×D4—731no—
2030C4×D4—731no—
2031C4×D4—734no—
2032C4×D4—732no—
2033C4×D4—732no—
2034C4×D4—732no—
2035C4×D4—732no—
2036C4×D4—732no—
2037C4×D4—734no—
2038C4×D4—734no—
2039C4×D4—734no—
2040C4×D4—734no—
2041C4×D4—732no—
2042C4×D4—732no—
2043C4×D4—732no—
2044C4×D4—732no—
2045C4×D4—734no—
2046C4×D4—732no—
2047C4×D4—731no—
2048C4×D4—732no—
2049C4×D4—734no—
2050C4×D4—732no—
2051C4×D4—732no—
2052C4×D4—732no—
2053C4×D4—734no—
2054C4×D4—734no—
2055C4×D4—732no—
2056C4×D4—732no—
2057C4×D4—732no—
2058C4×D4—732no—
2059C4×D4—732no—
2060C4×D4—732no—
2061C4×D4—734no—
2062C4×D4—734no—
2063C4×D4—732no—
2064C4×D4—734no—
2065C4×D4—734no—
2066C4×D4—734no—
2067C4×D4—734no—
2068C4×D4—734no—
2069C4×D4—734no—
2070C4×D4—734no—
2071C4×D4—734no—
2072C4×D4—732no—
2073C4×D4—732no—
2074C4×D4—734no—
2075C4×D4—734no—
2076C4×D4—732no—
2077C4×D4—731no—
2078C4×D4—732no—
2079C4×D4—732no—
2080C4×D4—734no—
2081C4×D4—734no—
2082C4×D4—732no—
2083C4×D4C22×D7311yescharacteristic
2084C4×D4C22×D7312yes—
2085C4×D4C22×D7312yes—
2086C4×D4C22×D7312yes—
2087C4×D4C22×D7314yes—
2088C4×D4C22×D7311yescharacteristic
2089C4×D4C22×D7311yescharacteristic
2090C4×D4C22×D7312yes—
2091C4×D4C22×D7312yes—
2092#117—732no—
2093#117—732no—
2094#117—732no—
2095#117—732no—
2096#117—732no—
2097#117—734no—
2098#117—732no—
2099#117—732no—
2100#117—731no—
2101#117—731no—
2102#117—734no—
2103#117—732no—
2104#117—732no—
2105#117—732no—
2106#117—732no—
2107#117—734no—
2108#117—732no—
2109#117—732no—
2110#117—732no—
2111#117—732no—
2112#117—732no—
2113#117—734no—
2114#117C22×D7312yes—
2115#117C22×D7312yes—
2116C2×C4⋊C4—732no—
2117C2×C4⋊C4—734no—
2118C2×C4⋊C4—732no—
2119C2×C4⋊C4—732no—
2120C2×C4⋊C4—732no—
2121C2×C4⋊C4—732no—
2122C2×C4⋊C4—731no—
2123C2×C4⋊C4—732no—
2124C2×C4⋊C4—734no—
2125C2×C4⋊C4—731no—
2126C2×C4⋊C4—732no—
2127C2×C4⋊C4C22×D7312yes—
2128C2×C22⋊C4—734no—
2129C2×C22⋊C4—734no—
2130C2×C22⋊C4—734no—
2131C2×C22⋊C4—732no—
2132C2×C22⋊C4—732no—
2133C2×C22⋊C4—734no—
2134C2×C22⋊C4—734no—
2135C2×C22⋊C4—732no—
2136C2×C22⋊C4—732no—
2137C2×C22⋊C4—732no—
2138C2×C22⋊C4—734no—
2139C2×C22⋊C4—734no—
2140C2×C22⋊C4C22×D7314yes—
2141C2×C42—732no—
2142C2×C42—732no—
2143C2×C42—734no—
2144C2×C42—731no—
2145C2×C42—731no—
2146C2×C42—731no—
2147C2×C42—731no—
2148C2×C42—732no—
2149C2×C42—731no—
2150C2×C42—731no—
2151C2×C42—731no—
2152C2×C42—734no—
2153C2×C42—731no—
2154C2×C42—731no—
2155C2×C42—731no—
2156C2×C42—731no—
2157C2×C42C22×D7311yescharacteristic
2158C24—734no—
2159C24—734no—
2160C24—732no—
2161C24—731no—
2162C24C23×D7314yes—
2163#41—44no—
2164#41—44no—
2165#41—44no—
2166#41—44no—
2167#41—2924no—
2168#41—2924no—
2169#41—2924no—
2170#41—2928no—
2171#41—2928no—
2172#41—2924no—
2173#41—2924no—
2174#41—2928no—
2175#41—2924no—
2176#41—2928no—
2177#41—2928no—
2178#41—2928no—
2179#41—1464no—
2180#41—1468no—
2181#41—1464no—
2182#41—1468no—
2183C2×Q8—2924no—
2184C2×Q8—2922no—
2185C2×Q8—2924no—
2186C2×Q8—2924no—
2187C2×Q8—732no—
2188C2×Q8—732no—
2189C2×Q8—734no—
2190C2×Q8—734no—
2191C2×Q8—734no—
2192C2×Q8—731no—
2193C2×Q8—731no—
2194C2×Q8—732no—
2195C2×Q8—731no—
2196C2×Q8C23×D7311yescharacteristic
2197C2×Q8C23×D7312yes—
2198C2×Q8C23×D7312yes—
2199C2×D4—44no—
2200C2×D4—44no—
2201C2×D4—2924no—
2202C2×D4—2924no—
2203C2×D4—2928no—
2204C2×D4—2928no—
2205C2×D4—2928no—
2206C2×D4—2928no—
2207C2×D4—2928no—
2208C2×D4—2924no—
2209C2×D4—2922no—
2210C2×D4—2924no—
2211C2×D4—2924no—
2212C2×D4—2924no—
2213C2×D4—732no—
2214C2×D4—734no—
2215C2×D4—734no—
2216C2×D4—734no—
2217C2×D4—732no—
2218C2×D4—734no—
2219C2×D4—734no—
2220C2×D4—734no—
2221C2×D4—734no—
2222C2×D4—734no—
2223C2×D4—734no—
2224C2×D4—734no—
2225C2×D4—734no—
2226C2×D4—734no—
2227C2×D4—732no—
2228C2×D4—732no—
2229C2×D4—732no—
2230C2×D4—732no—
2231C2×D4—734no—
2232C2×D4—732no—
2233C2×D4—734no—
2234C2×D4—732no—
2235C2×D4—732no—
2236C2×D4—731no—
2237C2×D4—732no—
2238C2×D4—734no—
2239C2×D4—732no—
2240C2×D4C23×D7311yescharacteristic
2241C2×D4C23×D7312yes—
2242C2×D4C23×D7311yescharacteristic
2243C2×D4C23×D7312yes—
2244C2×D4C23×D7311yescharacteristic
2245C2×D4C23×D7314yes—
2246C2×D4C23×D7312yes—
2247C2×D4C23×D7312yes—
2248C2×D4C23×D7314yes—
2249C2×D4C23×D7312yes—
2250C2×D4C23×D7312yes—
2251C2×D4C23×D7314yes—
2252C2×D4C23×D7312yes—
2253C2×D4C23×D7312yes—
2254C2×D4C23×D7314yes—
2255C2×D4C23×D7314yes—
2256C2×D4C23×D7314yes—
2257C22×C4—2922no—
2258C22×C4—2922no—
2259C22×C4—2928no—
2260C22×C4—2928no—
2261C22×C4—2928no—
2262C22×C4—731no—
2263C22×C4—731no—
2264C22×C4—732no—
2265C22×C4—732no—
2266C22×C4—734no—
2267C22×C4—734no—
2268C22×C4—734no—
2269C22×C4—734no—
2270C22×C4—731no—
2271C22×C4—731no—
2272C22×C4—731no—
2273C22×C4—731no—
2274C22×C4—732no—
2275C22×C4—734no—
2276C22×C4—732no—
2277C22×C4—734no—
2278C22×C4—734no—
2279C22×C4—734no—
2280C22×C4—734no—
2281C22×C4—734no—
2282C22×C4—731no—
2283C22×C4—731no—
2284C22×C4—732no—
2285C22×C4—734no—
2286C22×C4—732no—
2287C22×C4—732no—
2288C22×C4—731no—
2289C22×C4—731no—
2290C22×C4—731no—
2291C22×C4—731no—
2292C22×C4—731no—
2293C22×C4—731no—
2294C22×C4—731no—
2295C22×C4—734no—
2296C22×C4—732no—
2297C22×C4—732no—
2298C22×C4—732no—
2299C22×C4—1468no—
2300C22×C4—1464no—
2301C22×C4C23×D7311yescharacteristic
2302C22×C4C23×D7311yescharacteristic
2303C22×C4C23×D7312yes—
2304C22×C4C23×D7312yes—
2305C22×C4C23×D7312yes—
2306C22×C4C23×D7311yescharacteristic
2307C22×C4C23×D7314yes—
2308C22×C4C23×D7314yes—
2309C22×C4C23×D7314yes—
2310C4⋊C4—732no—
2311C4⋊C4—732no—
2312C4⋊C4—732no—
2313C4⋊C4—732no—
2314C4⋊C4—732no—
2315C4⋊C4—732no—
2316C4⋊C4—732no—
2317C4⋊C4—732no—
2318C4⋊C4—732no—
2319C4⋊C4—734no—
2320C4⋊C4—734no—
2321C4⋊C4—734no—
2322C4⋊C4—734no—
2323C4⋊C4—734no—
2324C4⋊C4—732no—
2325C4⋊C4—732no—
2326C4⋊C4—732no—
2327C4⋊C4—734no—
2328C4⋊C4—732no—
2329C4⋊C4—732no—
2330C4⋊C4—732no—
2331C4⋊C4—732no—
2332C4⋊C4—734no—
2333C4⋊C4—732no—
2334C4⋊C4—732no—
2335C4⋊C4—734no—
2336C4⋊C4—731no—
2337C4⋊C4—732no—
2338C4⋊C4—731no—
2339C4⋊C4—732no—
2340C4⋊C4—732no—
2341C4⋊C4—732no—
2342C4⋊C4—732no—
2343C4⋊C4—732no—
2344C4⋊C4—734no—
2345C4⋊C4—734no—
2346C4⋊C4—731no—
2347C4⋊C4—731no—
2348C4⋊C4—734no—
2349C4⋊C4—732no—
2350C4⋊C4—732no—
2351C4⋊C4—732no—
2352C4⋊C4—732no—
2353C4⋊C4—734no—
2354C4⋊C4—732no—
2355C4⋊C4—732no—
2356C4⋊C4—732no—
2357C4⋊C4C23×D7312yes—
2358C4⋊C4C23×D7311yescharacteristic
2359C4⋊C4C23×D7312yes—
2360C4⋊C4C23×D7312yes—
2361C4⋊C4C23×D7312yes—
2362C4⋊C4C23×D7311yescharacteristic
2363C4⋊C4C23×D7312yes—
2364C4⋊C4C23×D7312yes—
2365C4⋊C4C23×D7314yes—
2366C4⋊C4C23×D7311yescharacteristic
2367C4⋊C4C23×D7314yes—
2368C4⋊C4C23×D7311yescharacteristic
2369C4⋊C4C23×D7312yes—
2370C22⋊C4—732no—
2371C22⋊C4—734no—
2372C22⋊C4—732no—
2373C22⋊C4—732no—
2374C22⋊C4—734no—
2375C22⋊C4—732no—
2376C22⋊C4—734no—
2377C22⋊C4—734no—
2378C22⋊C4—734no—
2379C22⋊C4—734no—
2380C22⋊C4—732no—
2381C22⋊C4—732no—
2382C22⋊C4—734no—
2383C22⋊C4—732no—
2384C22⋊C4—734no—
2385C22⋊C4—732no—
2386C22⋊C4—732no—
2387C22⋊C4—732no—
2388C22⋊C4—732no—
2389C22⋊C4—732no—
2390C22⋊C4—734no—
2391C22⋊C4—732no—
2392C22⋊C4—732no—
2393C22⋊C4—732no—
2394C22⋊C4—732no—
2395C22⋊C4—732no—
2396C22⋊C4—732no—
2397C22⋊C4—732no—
2398C22⋊C4—732no—
2399C22⋊C4—732no—
2400C22⋊C4—734no—
2401C22⋊C4—732no—
2402C22⋊C4—732no—
2403C22⋊C4—732no—
2404C22⋊C4—732no—
2405C22⋊C4—732no—
2406C22⋊C4—734no—
2407C22⋊C4—734no—
2408C22⋊C4—732no—
2409C22⋊C4—734no—
2410C22⋊C4—734no—
2411C22⋊C4—734no—
2412C22⋊C4—734no—
2413C22⋊C4—734no—
2414C22⋊C4—734no—
2415C22⋊C4—732no—
2416C22⋊C4—732no—
2417C22⋊C4—734no—
2418C22⋊C4—734no—
2419C22⋊C4—734no—
2420C22⋊C4C23×D7312yes—
2421C22⋊C4C23×D7312yes—
2422C22⋊C4C23×D7312yes—
2423C22⋊C4C23×D7312yes—
2424C22⋊C4C23×D7312yes—
2425C22⋊C4C23×D7314yes—
2426C22⋊C4C23×D7314yes—
2427C22⋊C4C23×D7314yes—
2428C22⋊C4C23×D7312yes—
2429C22⋊C4C23×D7312yes—
2430C22⋊C4C23×D7314yes—
2431C22⋊C4C23×D7314yes—
2432C22⋊C4C23×D7312yes—
2433C22⋊C4C23×D7314yes—
2434C22⋊C4C23×D7312yes—
2435C22⋊C4C23×D7314yes—
2436C42—731no—
2437C42—731no—
2438C42—732no—
2439C42—732no—
2440C42—732no—
2441C42—732no—
2442C42—731no—
2443C42—731no—
2444C42—731no—
2445C42—731no—
2446C42—731no—
2447C42—731no—
2448C42—731no—
2449C42—731no—
2450C42—731no—
2451C42—731no—
2452C42—732no—
2453C42—732no—
2454C42—732no—
2455C42—732no—
2456C42—732no—
2457C42—734no—
2458C42—734no—
2459C42—734no—
2460C42C23×D7311yescharacteristic
2461C42C23×D7311yescharacteristic
2462C42C23×D7311yescharacteristic
2463C42C23×D7311yescharacteristic
2464C42C23×D7312yes—
2465C42C23×D7314yes—
2466C23—44no—
2467C23—44no—
2468C23—44no—
2469C23—2921no—
2470C23—2924no—
2471C23—2924no—
2472C23—2924no—
2473C23—2922no—
2474C23—2924no—
2475C23—2924no—
2476C23—2922no—
2477C23—731no—
2478C23—731no—
2479C23—732no—
2480C23—734no—
2481C23—1462no—
2482C23—1462no—
2483C23—1464no—
2484C23—1468no—
2485C23C24×D7312yes—
2486C23C24×D7312yes—
2487C23C24×D7314yes—
2488C23C24×D7311yescharacteristic
2489C23C24×D7312yes—
2490Q8—24no—
2491Q8—22no—
2492Q8—42no—
2493Q8—2924no—
2494Q8—2924no—
2495Q8—2924no—
2496Q8—2922no—
2497Q8—2922no—
2498Q8—1462no—
2499Q8—1464no—
2500Q8—1462no—
2501Q8—1462no—
2502D4—22no—
2503D4—24no—
2504D4—22no—
2505D4—22no—
2506D4—24no—
2507D4—44no—
2508D4—44no—
2509D4—44no—
2510D4—44no—
2511D4—42no—
2512D4—42no—
2513D4—44no—
2514D4—42no—
2515D4—42no—
2516D4—42no—
2517D4—44no—
2518D4—42no—
2519D4—2922no—
2520D4—2924no—
2521D4—2924no—
2522D4—2924no—
2523D4—2924no—
2524D4—2924no—
2525D4—2924no—
2526D4—2924no—
2527D4—2922no—
2528D4—2924no—
2529D4—2924no—
2530D4—2924no—
2531D4—2924no—
2532D4—2924no—
2533D4—2922no—
2534D4—2924no—
2535D4—1464no—
2536D4—1468no—
2537D4—1464no—
2538D4—1464no—
2539D4—1468no—
2540D4—1464no—
2541D4—1464no—
2542D4—1464no—
2543D4—1464no—
2544D4—1462no—
2545D4—1464no—
2546C2×C4—24no—
2547C2×C4—22no—
2548C2×C4—22no—
2549C2×C4—24no—
2550C2×C4—24no—
2551C2×C4—44no—
2552C2×C4—44no—
2553C2×C4—41no—
2554C2×C4—44no—
2555C2×C4—2924no—
2556C2×C4—2924no—
2557C2×C4—2924no—
2558C2×C4—2924no—
2559C2×C4—2921no—
2560C2×C4—2921no—
2561C2×C4—2921no—
2562C2×C4—2921no—
2563C2×C4—2922no—
2564C2×C4—2924no—
2565C2×C4—2922no—
2566C2×C4—2924no—
2567C2×C4—2924no—
2568C2×C4—2924no—
2569C2×C4—2924no—
2570C2×C4—2921no—
2571C2×C4—2921no—
2572C2×C4—2924no—
2573C2×C4—2922no—
2574C2×C4—2922no—
2575C2×C4—731no—
2576C2×C4—734no—
2577C2×C4—731no—
2578C2×C4—732no—
2579C2×C4—731no—
2580C2×C4—732no—
2581C2×C4—732no—
2582C2×C4—732no—
2583C2×C4—731no—
2584C2×C4—731no—
2585C2×C4—731no—
2586C2×C4—732no—
2587C2×C4—732no—
2588C2×C4—734no—
2589C2×C4—732no—
2590C2×C4—1462no—
2591C2×C4—1464no—
2592C2×C4—1468no—
2593C2×C4—1462no—
2594C2×C4—1462no—
2595C2×C4—1462no—
2596C2×C4—1464no—
2597C2×C4—1464no—
2598C2×C4—1464no—
2599C2×C4—1468no—
2600C2×C4—1464no—
2601C2×C4—1462no—
2602C2×C4—1462no—
2603C2×C4—1464no—
2604C2×C4—1462no—
2605C2×C4—1462no—
2606C2×C4C24×D7312yes—
2607C2×C4C24×D7312yes—
2608C2×C4C24×D7311yescharacteristic
2609C2×C4C24×D7311yescharacteristic
2610C2×C4C24×D7312yes—
2611C2×C4C24×D7311yescharacteristic
2612C2×C4C24×D7311yescharacteristic
2613C2×C4C24×D7312yes—
2614C2×C4C24×D7314yes—
2615C2×C4C24×D7312yes—
2616C2×C4C24×D7311yescharacteristic
2617C2×C4C24×D7311yescharacteristic
2618C22—22no—
2619C22—21no—
2620C22—22no—
2621C22—24no—
2622C22—22no—
2623C22—21no—
2624C22—22no—
2625C22—24no—
2626C22—22no—
2627C22—22no—
2628C22—21no—
2629C22—22no—
2630C22—22no—
2631C22—24no—
2632C22—22no—
2633C22—88no—
2634C22—2924no—
2635C22—5848no—
2636C22—5844no—
2637C22—5848no—
2638C22—732no—
2639C22—732no—
2640C22—1462no—
2641C22—1464no—
2642C22—1464no—
2643C22—1462no—
2644C22—1464no—
2645C22—1462no—
2646C22—1461no—
2647C22—1461no—
2648C22—1461no—
2649C22—1461no—
2650C22C25×D7311yescharacteristic
2651C4—21no—
2652C4—22no—
2653C4—24no—
2654C4—21no—
2655C4—21no—
2656C4—22no—
2657C4—22no—
2658C4—22no—
2659C4—21no—
2660C4—22no—
2661C4—732no—
2662C4—1462no—
2663C4—1462no—
2664C4—1464no—
2665C4—1462no—
2666C4—1461no—
2667C4—1461no—
2668C4—1462no—
2669C4—1462no—
2670C4—1462no—
2671C4—1461no—
2672C4—1462no—
2673C4—1461no—
2674C4—1461no—
2675C4H(5,𝔽2)×D7312yes—
2676C4#1798942212yes—
2677C2—42no—
2678C2—42no—
2679C2—44no—
2680C2—41no—
2681C2—42no—
2682C2—2922no—
2683C2—2924no—
2684C2—1462no—
2685C2—1462no—
2686C2C2×H(5,𝔽2)×D7311yescharacteristic
2687C2#585×D7311yescharacteristic
2688C2C2×#1798942211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3546C2
hypercenter#3546D73
hypocenterC73#62748
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3546

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22624513C2semidirect
2. #22624505C2semidirect
3. #22624502C2semidirect
4. #22624472C2semidirect
5. #22624455C2semidirect
6. #22624449C2semidirect
7. #22624440C2semidirect
8. #22624404C2semidirect
9. #22624396C2semidirect
10. #22624369C2semidirect
11. #22624361C2semidirect
12. #22624303C2semidirect
13. #22624262C2semidirect
14. #22624255C2semidirect
15. #22624164C2semidirect
16. #22624149C2semidirect
17. #22624112C2semidirect
18. #22624066C2semidirect
19. #22623538C2semidirect
20. #22623536C2semidirect
21. #22623530C2semidirect
22. #22623523C2semidirect
23. #22623421C2semidirect
24. #22623418C2semidirect
25. #22623415C2semidirect
26. D4×#11924027C2semidirect
27. #22623348C2semidirect
28. #22623344C2semidirect
29. #22623342C2semidirect
30. #22623318C2semidirect
31. #22623262C2semidirect
32. #22623226C2semidirect
33. #532×D73C2semidirect
34. #529×D73C2semidirect
35. C73×#3546C2semidirect
36. C22×#11924027C22semidirect
37. C2×#41×D73C22semidirect
38. C2×#41×D73C22semidirect
39. #17989340C22semidirect
40. #17989339C22semidirect
41. #17989339C22semidirect
42. #17989334C22semidirect
43. #17989334C22semidirect
44. #17989332C22semidirect
45. #17989332C22semidirect
46. #17989332C22semidirect
47. #17989332C22semidirect
48. #17989330C22semidirect
49. #17989326C22semidirect
50. #17989326C22semidirect
51. #17989325C22semidirect
52. #17989325C22semidirect
53. #17989324C22semidirect
54. #17989323C22semidirect
55. #17989323C22semidirect
56. #17989322C22semidirect
57. #17989320C22semidirect
58. #17989319C22semidirect
59. #17989319C22semidirect
60. #17989316C22semidirect
61. #17989312C22semidirect
62. #17989309C22semidirect
63. #17989307C22semidirect
64. #17989307C22semidirect
65. #17989296C22semidirect
66. #17989295C22semidirect
67. #17989293C22semidirect
68. #17989292C22semidirect
69. #17989288C22semidirect
70. #17989284C22semidirect
71. #17989284C22semidirect
72. #17989284C22semidirect
73. #17989283C22semidirect
74. #17989282C22semidirect
75. #17989281C22semidirect
76. #17989281C22semidirect
77. #17989280C22semidirect
78. #17989266C22semidirect
79. #17989263C22semidirect
80. #17989262C22semidirect
81. #17989260C22semidirect
82. #17989258C22semidirect
83. #17989258C22semidirect
84. #17989257C22semidirect
85. #17989255C22semidirect
86. Q8×D292C22semidirect
87. D4×Dic146C22semidirect
88. #17989252C22semidirect
89. #17989250C22semidirect
90. #17989247C22semidirect
91. #17989247C22semidirect
92. #17989246C22semidirect
93. #17989245C22semidirect
94. #17989244C22semidirect
95. #17989244C22semidirect
96. #17989244C22semidirect
97. #17989243C22semidirect
98. #17989242C22semidirect
99. #17989242C22semidirect
100. #17989241C22semidirect
101. #17989238C22semidirect
102. #17989237C22semidirect
103. #17989236C22semidirect
104. #17989235C22semidirect
105. #17989234C22semidirect
106. #17989234C22semidirect
107. #17989234C22semidirect
108. #17989234C22semidirect
109. #17989234C22semidirect
110. #17989233C22semidirect
111. #17989232C22semidirect
112. #17989231C22semidirect
113. #17989229C22semidirect
114. #17989227C22semidirect
115. #17989226C22semidirect
116. #17989226C22semidirect
117. #17989225C22semidirect
118. #17989225C22semidirect
119. #17989224C22semidirect
120. #17989224C22semidirect
121. D4×D292C22semidirect
122. #17989222C22semidirect
123. #17989222C22semidirect
124. #17989221C22semidirect
125. #17989221C22semidirect
126. D4×C22⋊D73C22semidirect
127. D4×C22⋊D73C22semidirect
128. D4×C22⋊D73C22semidirect
129. #17989219C22semidirect
130. #17989218C22semidirect
131. #17989215C22semidirect
132. #17989212C22semidirect
133. #17989211C22semidirect
134. #17989210C22semidirect
135. #17989210C22semidirect
136. #17989210C22semidirect
137. #17989208C22semidirect
138. #17989206C22semidirect
139. #17989206C22semidirect
140. #17989204C22semidirect
141. #17989204C22semidirect
142. #17989197C22semidirect
143. #17989195C22semidirect
144. #17989191C22semidirect
145. #17989190C22semidirect
146. #17989190C22semidirect
147. #17989190C22semidirect
148. #17989190C22semidirect
149. #17989190C22semidirect
150. #17989190C22semidirect
151. #17989188C22semidirect
152. #17989183C22semidirect
153. #17989180C22semidirect
154. #17989180C22semidirect
155. #17989179C22semidirect
156. #17989179C22semidirect
157. #17989178C22semidirect
158. #17989178C22semidirect
159. #17989178C22semidirect
160. #17989175C22semidirect
161. #17989174C22semidirect
162. #17989174C22semidirect
163. #17989173C22semidirect
164. #17989172C22semidirect
165. #17989172C22semidirect
166. #17989171C22semidirect
167. #17989171C22semidirect
168. #17989171C22semidirect
169. #17989169C22semidirect
170. #17989169C22semidirect
171. #17989166C22semidirect
172. #17989166C22semidirect
173. #17989165C22semidirect
174. #17989163C22semidirect
175. #17989158C22semidirect
176. #17989157C22semidirect
177. #17989157C22semidirect
178. #17989154C22semidirect
179. #17989154C22semidirect
180. #17989151C22semidirect
181. #17989151C22semidirect
182. #17989150C22semidirect
183. #17989150C22semidirect
184. #17989147C22semidirect
185. #17989147C22semidirect
186. #17989147C22semidirect
187. #17989147C22semidirect
188. #17989145C22semidirect
189. #17989144C22semidirect
190. #17989142C22semidirect
191. #17989142C22semidirect
192. #17989138C22semidirect
193. #17989137C22semidirect
194. #17989136C22semidirect
195. #17989136C22semidirect
196. #17989135C22semidirect
197. #17989135C22semidirect
198. #17989135C22semidirect
199. #17989135C22semidirect
200. #17989135C22semidirect
201. #17989134C22semidirect
202. #17989134C22semidirect
203. #17989133C22semidirect
204. #17989132C22semidirect
205. #17989132C22semidirect
206. #17989132C22semidirect
207. #17989132C22semidirect
208. #17989132C22semidirect
209. C4⋊Q8×D73C22semidirect
210. #127×D73C22semidirect
211. #17989124C22semidirect
212. #17989123C22semidirect
213. #17989123C22semidirect
214. #17989123C22semidirect
215. #17989122C22semidirect
216. #17989121C22semidirect
217. #17989120C22semidirect
218. #17989120C22semidirect
219. #17989120C22semidirect
220. #17989119C22semidirect
221. #17989119C22semidirect
222. #17989119C22semidirect
223. #17989119C22semidirect
224. #17989118C22semidirect
225. #17989118C22semidirect
226. #17989118C22semidirect
227. #17989118C22semidirect
228. #17989118C22semidirect
229. #17989118C22semidirect
230. #17989117C22semidirect
231. #17989116C22semidirect
232. #17989116C22semidirect
233. #17989116C22semidirect
234. #17989116C22semidirect
235. #17989115C22semidirect
236. #17989114C22semidirect
237. #17989114C22semidirect
238. #126×D73C22semidirect
239. #125×D73C22semidirect
240. #124×D73C22semidirect
241. #124×D73C22semidirect
242. #17989100C22semidirect
243. #17989097C22semidirect
244. #17989097C22semidirect
245. #17989097C22semidirect
246. #17989097C22semidirect
247. #17989097C22semidirect
248. #17989097C22semidirect
249. #17989097C22semidirect
250. #17989097C22semidirect
251. #17989095C22semidirect
252. #17989095C22semidirect
253. #17989094C22semidirect
254. #17989093C22semidirect
255. #17989093C22semidirect
256. #17989093C22semidirect
257. #17989093C22semidirect
258. #123×D73C22semidirect
259. C22⋊Q8×D73C22semidirect
261. #121×D73C22semidirect
262. #121×D73C22semidirect
263. #41×Dic73C22semidirect
264. #41×Dic73C22semidirect
265. C4×#11924029C22semidirect
266. #17989055C22semidirect
267. C4×#11924027C22semidirect
268. C4×#11924027C22semidirect
269. C4×#11924027C22semidirect
270. C4×#11924027C22semidirect
271. C4×Q8×D73C22semidirect
272. C2×D4×Dic73C22semidirect
273. C2×#14556553C22semidirect
274. C2×#14556551C22semidirect
275. C4×D4×D73C22semidirect
276. C4×D4×D73C22semidirect
277. C4×D4×D73C22semidirect
278. C4×D4×D73C22semidirect
279. C4×D4×D73C22semidirect
280. #117×D73C22semidirect
281. C2×C42×D73C22semidirect
282. #560×C73C22semidirect
283. #556×C73C22semidirect
284. #553×C73C22semidirect
285. #550×C73C22semidirect
286. #550×C73C22semidirect
287. #547×C73C22semidirect
288. #546×C73C22semidirect
289. #546×C73C22semidirect
290. D42×C73C22semidirect
291. #542×C73C22semidirect
292. #538×C73C22semidirect
293. #537×C73C22semidirect
294. #535×C73C22semidirect
295. #535×C73C22semidirect
296. #532×C73C22semidirect
297. #532×C73C22semidirect
298. #529×C73C22semidirect
1357. #3546D73semidirect
1380. C73#62748semidirect
1399. #560C2×D73semidirect
1411. #556C2×D73semidirect
1425. #553C2×D73semidirect
1434. #550C2×D73semidirect
1435. #550C2×D73semidirect
1455. #547C2×D73semidirect
1472. #546C2×D73semidirect
1473. #546C2×D73semidirect
1483. D42C2×D73semidirect
1496. #542C2×D73semidirect
1526. #538C2×D73semidirect
1530. #537C2×D73semidirect
1541. #535C2×D73semidirect
1542. #535C2×D73semidirect
1568. #532C2×D73semidirect
1569. #532C2×D73semidirect
1599. #529C2×D73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226245132
#226245052
#226245022
#226244722
#226244552
#226244492
#226244402
#226244042
#226243962
#226243692
#226243612
#226243032
#226242622
#226242552
#226241642
#226241492
#226241122
#226240662
#226235382
#226235362
#226235302
#226235232
#226234212
#226234182
#226234152
D4×#119240272
#226233482
#226233442
#226233422
#226233182
#226232622
#226232262
#532×D732
#529×D732
C73×#35462
#6274873