Finite Group Databasebeta

← #33993800

Subgroups — #33993800

Order 18688.

7270 conjugacy classes of subgroups.

The subgroup lattice has 2514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624358C211yesmaximal, characteristic, complemented
2#22624353C212yesmaximal, complemented
3#22624340C211yesmaximal, characteristic, complemented
4#22624334C211yesmaximal, characteristic, complemented
5#22624326C212yesmaximal, complemented
6#22624319C212yesmaximal, complemented
7#22624312C212yesmaximal, complemented
8#22624302C212yesmaximal, complemented
9#22624295C212yesmaximal, complemented
10#22624284C212yesmaximal, complemented
11#22624277C212yesmaximal, complemented
12#22624270C212yesmaximal, complemented
13#22624259C212yesmaximal, complemented
14#22624246C214yesmaximal, complemented
15#22624238C214yesmaximal, complemented
16#22624072C212yesmaximal, complemented
17#22624066C212yesmaximal, complemented
18#22623556C212yesmaximal, complemented
19#22623534C212yesmaximal, complemented
20#22623490C212yesmaximal, complemented
21#22623484C212yesmaximal, complemented
22#22623420C212yesmaximal, complemented
23#22623415C212yesmaximal, complemented
24#22623350C214yesmaximal, complemented
25#22623346C214yesmaximal, complemented
26#22623263C211yesmaximal, characteristic, complemented
27#22623262C211yesmaximal, characteristic, complemented
28#22623259C212yesmaximal, complemented
29#22623225C212yesmaximal, complemented
30#532×D73C211yesmaximal, characteristic, complemented
31C73×#3551C211yesmaximal, characteristic, complemented
32C22×#11924029C2211yescharacteristic, complemented
33C22×#11924027C2211yescharacteristic, complemented
34C2×#41×D73C2211yescharacteristic, complemented
35C2×#41×D73C2212yescomplemented
36C2×#41×D73C2211yescharacteristic, complemented
37#17989340C2212yescomplemented
38#17989339C2214yescomplemented
39#17989336C2212yescomplemented
40#17989336C2212yescomplemented
41#17989335C2214yescomplemented
42#17989334C2214yescomplemented
43#17989333C2214yescomplemented
44#17989333C2214yescomplemented
45#17989332C2214yescomplemented
46#17989332C2214yescomplemented
47#17989330C2212yescomplemented
48#17989329C2212yescomplemented
49#17989328C2214yescomplemented
50#17989328C2214yescomplemented
51#17989327C2214yescomplemented
52#17989326C2214yescomplemented
53#17989325C2214yescomplemented
54#17989324C2212yescomplemented
55#17989321C2212yescomplemented
56#17989317C2212yescomplemented
57#17989308C2212yescomplemented
58#17989305C2212yescomplemented
59#17989301C2212yescomplemented
60#17989300C2214yescomplemented
61#17989300C2214yescomplemented
62#17989300C2212yescomplemented
63#17989299C2212yescomplemented
64#17989299C2212yescomplemented
65#17989299C2214yescomplemented
66#17989295C2212yescomplemented
67#17989292C2212yescomplemented
68#17989291C2214yescomplemented
69#17989290C2212yescomplemented
70#17989288C2214yescomplemented
71#17989287C2212yescomplemented
72#17989286C2214yescomplemented
73#17989283C2212yescomplemented
74#17989278C2212yescomplemented
75#17989277C2212yescomplemented
76#17989275C2212yescomplemented
77#17989273C2214yescomplemented
78#17989269C2214yescomplemented
79#17989267C2212yescomplemented
80#17989266C2214yescomplemented
81#17989265C2214yescomplemented
82#17989262C2214yescomplemented
83#17989261C2214yescomplemented
84#17989261C2214yescomplemented
85#17989258C2214yescomplemented
86#17989256C2212yescomplemented
87#17989255C2214yescomplemented
88#17989255C2214yescomplemented
89#17989255C2212yescomplemented
90Q8×C22⋊D73C2212yescomplemented
91#17989250C2212yescomplemented
92#17989249C2212yescomplemented
93#17989246C2212yescomplemented
94#17989245C2212yescomplemented
95#17989239C2214yescomplemented
96#17989239C2212yescomplemented
97#17989238C2212yescomplemented
98#17989237C2212yescomplemented
99#17989236C2212yescomplemented
100#17989235C2214yescomplemented
101#17989233C2214yescomplemented
102#17989233C2212yescomplemented
103#17989232C2212yescomplemented
104#17989230C2214yescomplemented
105#17989230C2212yescomplemented
106#17989229C2214yescomplemented
107#17989229C2214yescomplemented
108#17989227C2214yescomplemented
109#17989227C2214yescomplemented
110#17989226C2214yescomplemented
111#17989226C2214yescomplemented
112#17989221C2214yescomplemented
113#17989221C2212yescomplemented
114D4×C22⋊D73C2212yescomplemented
115#17989219C2212yescomplemented
116#17989219C2214yescomplemented
117#17989217C2214yescomplemented
118#17989216C2214yescomplemented
119#17989208C2214yescomplemented
120#17989205C2214yescomplemented
121#17989205C2214yescomplemented
122#17989203C2214yescomplemented
123#17989203C2214yescomplemented
124#17989202C2214yescomplemented
125#17989201C2214yescomplemented
126#17989201C2214yescomplemented
127#17989189C2214yescomplemented
128#17989189C2214yescomplemented
129#17989188C2214yescomplemented
130#17989187C2214yescomplemented
131#17989187C2214yescomplemented
132#17989187C2214yescomplemented
133#17989187C2214yescomplemented
134#17989175C2214yescomplemented
135#17989173C2214yescomplemented
136#17989173C2214yescomplemented
137#17989170C2214yescomplemented
138#17989170C2214yescomplemented
139#17989169C2214yescomplemented
140#17989169C2214yescomplemented
141#17989168C2212yescomplemented
142#17989167C2212yescomplemented
143#17989167C2212yescomplemented
144#17989166C2212yescomplemented
145#17989166C2212yescomplemented
146#17989166C2214yescomplemented
147#17989165C2212yescomplemented
148#17989165C2212yescomplemented
149#17989164C2214yescomplemented
150#17989163C2211yescharacteristic, complemented
151#17989162C2212yescomplemented
152#17989161C2211yescharacteristic, complemented
153#17989160C2214yescomplemented
154#17989160C2212yescomplemented
155#17989160C2212yescomplemented
156#17989158C2211yescharacteristic, complemented
157#17989157C2212yescomplemented
158#17989156C2211yescharacteristic, complemented
159#17989155C2212yescomplemented
160#17989154C2211yescharacteristic, complemented
161#17989153C2214yescomplemented
162#17989153C2212yescomplemented
163#17989153C2212yescomplemented
164#17989153C2214yescomplemented
165#17989152C2214yescomplemented
166#17989152C2214yescomplemented
167#17989151C2211yescharacteristic, complemented
168#17989150C2212yescomplemented
169#17989150C2214yescomplemented
170#17989148C2212yescomplemented
171#17989148C2212yescomplemented
172#17989147C2212yescomplemented
173#17989147C2212yescomplemented
174#17989145C2214yescomplemented
175#17989145C2214yescomplemented
176#17989143C2212yescomplemented
177#17989141C2212yescomplemented
178#17989139C2212yescomplemented
179#17989138C2212yescomplemented
180#17989138C2211yescharacteristic, complemented
181#17989137C2211yescharacteristic, complemented
182#17989136C2211yescharacteristic
183#17989136C2212yes—
184#17989136C2212yescomplemented
185#17989136C2212yescomplemented
186#17989136C2211yescharacteristic, complemented
187#17989136C2214yescomplemented
188#17989135C2212yescomplemented
189#17989135C2211yescharacteristic, complemented
190#17989134C2212yescomplemented
191#17989134C2212yescomplemented
192#17989134C2212yescomplemented
193#17989133C2211yescharacteristic
194#17989133C2211yescharacteristic, complemented
195#17989132C2214yescomplemented
196#17989132C2214yescomplemented
197#17989132C2214yescomplemented
198#17989132C2212yescomplemented
199#17989132C2212yescomplemented
200#17989132C2212yescomplemented
201C4⋊Q8×D73C2211yescharacteristic, complemented
202#127×D73C2211yescharacteristic
203#17989122C2212yescomplemented
204#17989122C2214yescomplemented
205#17989121C2212yescomplemented
206#17989120C2214yescomplemented
207#17989120C2214yescomplemented
208#17989120C2214yescomplemented
209#17989120C2214yescomplemented
210#17989118C2214yescomplemented
211#17989116C2212yescomplemented
212#17989115C2214yescomplemented
213#17989114C2214yescomplemented
214#17989114C2214yescomplemented
215#17989114C2214yescomplemented
216#124×D73C2211yescharacteristic, complemented
217#124×D73C2211yescharacteristic, complemented
218#17989100C2212yescomplemented
219#17989100C2214yescomplemented
220#17989100C2212yescomplemented
221#17989100C2212yescomplemented
222#17989100C2214yescomplemented
223#17989097C2212yescomplemented
224#17989097C2212yescomplemented
225#17989097C2212yescomplemented
226#17989097C2214yescomplemented
227#17989097C2214yescomplemented
228#17989096C2214yescomplemented
229#17989095C2212yescomplemented
230#17989095C2212yescomplemented
231#17989095C2214yescomplemented
232#17989095C2214yescomplemented
233#17989093C2212yescomplemented
234#17989093C2212yescomplemented
235#17989093C2214yescomplemented
236#121×D73C2212yescomplemented
237#121×D73C2212yescomplemented
238C4×#11924029C2212yescomplemented
239#17989055C2214yescomplemented
240#17989055C2214yescomplemented
241C4×#11924027C2214yescomplemented
242C4×#11924027C2212yescomplemented
243C4×#11924027C2214yescomplemented
244C2×#14556551C2214yescomplemented
245C4×D4×D73C2212yescomplemented
246C4×D4×D73C2214yescomplemented
247C4×D4×D73C2212yescomplemented
248C2×#14556549C2212yescomplemented
249#117×D73C2211yescharacteristic, complemented
250#117×D73C2211yescharacteristic, complemented
251C2×C42×D73C2211yescharacteristic, complemented
252#563×C73C2212yescomplemented
253#560×C73C2212yescomplemented
254#555×C73C2212yescomplemented
255#553×C73C2212yescomplemented
256#552×C73C2212yescomplemented
257#551×C73C2212yescomplemented
258#548×C73C2212yescomplemented
259#546×C73C2212yescomplemented
260#540×C73C2214yescomplemented
261#538×C73C2214yescomplemented
262#537×C73C2212yescomplemented
263#536×C73C2211yescharacteristic, complemented
264#535×C73C2211yescharacteristic, complemented
265#532×C73C2211yescharacteristic, complemented
266#529×C73C2212yescomplemented
267C2×#11924029—44no—
268C2×#11924029C2312yes—
269C2×#11924029C2311yescharacteristic
270C2×#11924029C2311yescharacteristic
271C2×#11924029C2312yes—
272C2×#11924029C2312yes—
273C2×#11924029C2312yes—
274C2×#11924028C2311yescharacteristic
275C2×#11924028C2311yescharacteristic
276C2×#11924028C2312yes—
277C2×#11924028C2311yescharacteristic
278C2×#11924028C2311yescharacteristic
279C2×#11924028C2314yes—
280C2×#11924028C2314yes—
281C2×#11924028C2314yes—
282C2×#11924028C2312yes—
283C2×#11924027—44no—
284C2×#11924027C2312yes—
285C2×#11924027C2311yescharacteristic
286C2×#11924027C2312yes—
287C2×#11924027C2314yes—
288C2×#11924027C2311yescharacteristic
289C2×#11924027C2312yes—
290C2×#11924027C2311yescharacteristic
291C2×#11924027C2314yes—
292C2×#11924027C2311yescharacteristic
293C2×#11924027C2312yes—
294C2×#11924027C2314yes—
295C2×#11924027C2312yes—
296#41×D73—44no—
297#41×D73—44no—
298#41×D73—48no—
299C22×Dic146C2311yescharacteristic
300C2×Q8×D73C2311yescharacteristic
301C2×Q8×D73C2311yescharacteristic
302C2×Q8×D73C2312yes—
303C22×D292C2312yes—
304C22×D292C2311yescharacteristic
305C22×C22⋊D73C2312yes—
306C22×C22⋊D73C2314yes—
307C2×D4×D73C2311yescharacteristic
308C2×D4×D73C2311yescharacteristic
309C2×D4×D73C2312yes—
310C2×D4×D73C2312yes—
311C2×D4×D73C2312yes—
312C2×D4×D73C2314yes—
313C2×D4×D73C2311yescharacteristic
314C2×D4×D73C2311yescharacteristic
315C2×D4×D73C2314yes—
316C2×D4×D73C2312yes—
317C23×Dic73C2312yes—
318C22×C4×D73C2311yescharacteristic
319C22×C4×D73C2312yes—
320C22×C4×D73C2311yescharacteristic
321C22×C4×D73C2311yescharacteristic
322C22×C4×D73C2314yes—
323C22×C4×D73C2312yes—
324C22×C4×D73C2312yes—
325#14556591C2311yescharacteristic
326#14556591C2312yes—
327#14556590C2312yes—
328#14556590C2312yes—
329#14556590C2312yes—
330#14556590C2314yes—
331#14556590C2314yes—
332#14556590C2314yes—
333#14556590C2312yes—
334#14556589C2311yescharacteristic
335#14556589C2311yescharacteristic
336#14556589C2312yes—
337#14556589C2312yes—
338#14556589C2312yes—
339#14556589C2314yes—
340#14556588C2311yescharacteristic
341#14556588C2312yes—
342#14556587C2312yes—
343#14556587C2312yes—
344#14556587C2311yescharacteristic
345#14556587C2311yescharacteristic
346#14556587C2312yes—
347#14556587C2314yes—
348#14556587C2314yes—
349#14556587C2314yes—
350#14556587C2312yes—
351#14556587C2312yes—
352#14556587C2314yes—
353#14556586C2314yes—
354#14556586C2314yes—
355#14556586C2314yes—
356#14556586C2314yes—
357#14556586C2314yes—
358#14556585C2314yes—
359#14556585C2314yes—
360#14556585C2314yes—
361#14556584C2314yes—
362#14556584C2314yes—
363#14556584C2314yes—
364#14556584C2314yes—
365#14556584C2314yes—
366#14556583C2312yes—
367#14556582C2314yes—
368#14556581C2314yes—
369#14556581C2314yes—
370#14556581C2314yes—
371#14556581C2314yes—
372#14556581C2314yes—
373#14556581C2314yes—
374#14556580C2311yescharacteristic
375#14556580C2311yescharacteristic
376#14556580C2312yes—
377#14556580C2312yes—
378#14556579C2312yes—
379#14556579C2314yes—
380#14556579C2311yescharacteristic
381#14556579C2311yescharacteristic
382#14556579C2312yes—
383#14556579C2312yes—
384#14556579C2314yes—
385#14556578C2311yescharacteristic
386#14556578C2311yescharacteristic
387#14556578C2312yes—
388#14556578C2312yes—
389#14556578C2314yes—
390#14556577C2314yes—
391#14556577C2314yes—
392#14556577C2314yes—
393#14556577C2314yes—
394#14556577C2312yes—
395#14556577C2312yes—
396#14556577C2312yes—
397#14556577C2312yes—
398#14556577C2314yes—
399#14556577C2314yes—
400#14556577C2314yes—
401#14556577C2314yes—
402#14556577C2314yes—
403#14556577C2314yes—
404#14556577C2314yes—
405#14556577C2314yes—
406#14556576C2314yes—
407#14556576C2314yes—
408#14556576C2314yes—
409#14556576C2314yes—
410#14556576C2314yes—
411#14556576C2314yes—
412#14556576C2314yes—
413#14556576C2314yes—
414#14556576C2314yes—
415#14556576C2314yes—
416#14556576C2314yes—
417#14556576C2314yes—
418#14556575C2312yes—
419#14556575C2312yes—
420#14556575C2314yes—
421#14556574C2314yes—
422#14556574C2312yes—
423#14556574C2312yes—
424#14556574C2314yes—
425#14556574C2314yes—
426#14556574C2314yes—
427#14556573C2314yes—
428#14556573C2314yes—
429#14556573C2314yes—
430#14556573C2314yes—
431#14556573C2314yes—
432#14556573C2314yes—
433#14556573C2314yes—
434#14556573C2314yes—
435#14556573C2314yes—
436#14556573C2314yes—
437#14556572C2312yes—
438#14556572C2312yes—
439#14556572C2314yes—
440#14556572C2314yes—
441#14556572C2314yes—
442#14556571C2312yes—
443#14556571C2314yes—
444#14556571C2314yes—
445#14556571C2312yes—
446#14556571C2312yes—
447#14556571C2314yes—
448#14556570C2312yes—
449#14556570C2312yes—
450#14556570C2314yes—
451#14556570C2312yes—
452#14556570C2314yes—
453#14556570C2314yes—
454#14556569C2314yes—
455#14556569C2314yes—
456#14556569C2314yes—
457#14556569C2314yes—
458#14556569C2314yes—
459#14556569C2314yes—
460#14556569C2314yes—
461#14556569C2314yes—
462#14556569C2314yes—
463#14556568C2314yes—
464#14556568C2314yes—
465#14556568C2314yes—
466#14556568C2314yes—
467#14556568C2314yes—
468#14556568C2314yes—
469#14556568C2314yes—
470#14556567C2312yes—
471#14556567C2312yes—
472#14556567C2314yes—
473#14556567C2312yes—
474#14556567C2314yes—
475#14556566C2312yes—
476#14556566C2314yes—
477#14556566C2312yes—
478#14556566C2312yes—
479#14556566C2314yes—
480#14556566C2314yes—
481#14556566C2312yes—
482#14556566C2314yes—
483#14556566C2312yes—
484#14556566C2314yes—
485#14556565C2312yes—
486#14556565C2312yes—
487#14556565C2312yes—
488#14556565C2314yes—
489#14556565C2314yes—
490#14556565C2314yes—
491#14556565C2312yes—
492#14556565C2314yes—
493#14556565C2312yes—
494#14556565C2314yes—
495#14556564C2314yes—
496#14556564C2314yes—
497#14556564C2314yes—
498#14556564C2314yes—
499#14556564C2312yes—
500#14556564C2312yes—
501#14556564C2312yes—
502#14556564C2312yes—
503#14556564C2314yes—
504#14556564C2314yes—
505#14556564C2314yes—
506#14556564C2314yes—
507#14556564C2314yes—
508#14556564C2314yes—
509#14556564C2314yes—
510#14556564C2314yes—
511#14556564C2314yes—
512#14556564C2314yes—
513#14556564C2314yes—
514#14556564C2314yes—
515#14556564C2314yes—
516#14556563C2312yes—
517#14556563C2312yes—
518#14556563C2312yes—
519#14556563C2312yes—
520#14556563C2314yes—
521#14556563C2314yes—
522#14556563C2314yes—
523#14556563C2314yes—
524#14556563C2314yes—
525#14556563C2314yes—
526#14556563C2314yes—
527#14556563C2314yes—
528#14556563C2314yes—
529#14556563C2314yes—
530#14556563C2314yes—
531#14556563C2314yes—
532#14556563C2314yes—
533#14556562C2312yes—
534#14556562C2312yes—
535#14556562C2312yes—
536#14556562C2314yes—
537#14556562C2314yes—
538#14556562C2314yes—
539#14556562C2312yes—
540#14556562C2312yes—
541#14556562C2314yes—
542#14556561C2314yes—
543#14556561C2314yes—
544#14556561C2314yes—
545#14556561C2314yes—
546#14556561C2312yes—
547#14556561C2314yes—
548#14556561C2312yes—
549#14556561C2314yes—
550#14556561C2314yes—
551#14556561C2314yes—
552#14556560C2312yes—
553#14556560C2312yes—
554#14556560C2314yes—
555#14556559C2314yes—
556#14556559C2314yes—
557#14556559C2314yes—
558#14556559C2314yes—
559#14556559C2314yes—
560#14556559C2312yes—
561#14556559C2312yes—
562#14556559C2314yes—
563#14556559C2314yes—
564#14556559C2314yes—
565Q8×Dic73C2312yes—
566C4×Dic146C2312yes—
567C4×Dic146C2314yes—
568C4×Dic146C2314yes—
569#14556556C2314yes—
570#14556556C2314yes—
571#14556556C2314yes—
572#14556556C2312yes—
573#14556556C2314yes—
574C4×D292C2312yes—
575C4×D292C2312yes—
576C4×D292C2312yes—
577C4×D292C2314yes—
578C4×D292C2314yes—
579D4×Dic73C2314yes—
580D4×Dic73C2312yes—
581D4×Dic73C2312yes—
582D4×Dic73C2314yes—
583D4×Dic73C2312yes—
584D4×Dic73C2314yes—
585#14556553C2312yes—
586#14556553C2314yes—
587#14556553C2314yes—
588#14556553C2314yes—
589#14556553C2312yes—
590#14556553C2314yes—
591#14556553C2312yes—
592#14556553C2314yes—
593#14556553C2314yes—
594C4×C22⋊D73C2314yes—
595C4×C22⋊D73C2312yes—
596C4×C22⋊D73C2312yes—
597C4×C22⋊D73C2312yes—
598C4×C22⋊D73C2312yes—
599C4×C22⋊D73C2314yes—
600C4×C22⋊D73C2314yes—
601C4×C22⋊D73C2314yes—
602C4×C22⋊D73C2314yes—
603C4×C22⋊D73C2314yes—
604C4×C22⋊D73C2314yes—
605#14556551C2312yes—
606#14556551C2314yes—
607#14556551C2314yes—
608#14556551C2314yes—
609#14556551C2314yes—
610#14556551C2314yes—
611#14556551C2314yes—
612#14556551C2314yes—
613#14556551C2312yes—
614#14556551C2314yes—
615#14556551C2312yes—
616#14556551C2312yes—
617#14556551C2314yes—
618#14556551C2314yes—
619#14556551C2314yes—
620#14556551C2314yes—
621#14556551C2314yes—
622#14556551C2314yes—
623#14556551C2314yes—
624#14556551C2314yes—
625#14556551C2314yes—
626#14556550C2311yescharacteristic
627#14556550C2311yescharacteristic
628#14556549C2314yes—
629#14556549C2314yes—
630#14556549C2314yes—
631#14556549C2312yes—
632#14556549C2312yes—
633#14556549C2314yes—
634#14556549C2312yes—
635#14556549C2312yes—
636#14556549C2314yes—
637#14556548C2314yes—
638#14556548C2314yes—
639#14556548C2312yes—
640#14556548C2314yes—
641#14556548C2312yes—
642#14556548C2314yes—
643#14556547C2312yes—
644#14556547C2314yes—
645#14556547C2314yes—
646#14556547C2314yes—
647#14556547C2314yes—
648#14556547C2314yes—
649#14556547C2312yes—
650C2×C4⋊Dic73C2312yes—
651C2×#11924007C2314yes—
652C4⋊C4×D73C2312yes—
653C4⋊C4×D73C2312yes—
654C4⋊C4×D73C2312yes—
655C4⋊C4×D73C2314yes—
656C4⋊C4×D73C2312yes—
657C2×#11924005C2314yes—
658C2×#11924005C2314yes—
659C22⋊C4×D73C2312yes—
660C22⋊C4×D73C2312yes—
661C22⋊C4×D73C2314yes—
662C22⋊C4×D73C2314yes—
663C22⋊C4×D73C2312yes—
664C22⋊C4×D73C2312yes—
665C22⋊C4×D73C2312yes—
666C22⋊C4×D73C2312yes—
667C2×C4×Dic73C2311yescharacteristic
668C2×C4×Dic73C2312yes—
669C2×C4×Dic73C2314yes—
670C2×C4×Dic73C2314yes—
671C42×D73C2311yescharacteristic
672C42×D73C2311yescharacteristic
673C42×D73C2312yes—
674C42×D73C2314yes—
675C42×D73C2312yes—
676C42×D73C2312yes—
677C42×D73C2311yescharacteristic
678C42×D73C2312yes—
679C42×D73C2311yescharacteristic
680C2×#41×C73C2311yescharacteristic
681C2×#41×C73C2311yescharacteristic
682C2×#41×C73C2312yes—
683C22×Q8×C73C2311yescharacteristic
684C22×D4×C73C2311yescharacteristic
685C4⋊Q8×C73C2311yescharacteristic
686C4⋊Q8×C73C2312yes—
687#127×C73C2311yescharacteristic
688#127×C73C2312yes—
689#126×C73C2314yes—
690#126×C73C2314yes—
691#126×C73C2314yes—
692#125×C73C2312yes—
693#125×C73C2314yes—
694#124×C73C2312yes—
695#124×C73C2311yescharacteristic
696#124×C73C2312yes—
697#124×C73C2312yes—
698#124×C73C2314yes—
699#124×C73C2311yescharacteristic
700#123×C73C2312yes—
701#123×C73C2312yes—
702#123×C73C2314yes—
703#123×C73C2314yes—
704#123×C73C2314yes—
705#123×C73C2314yes—
706C22⋊Q8×C73C2312yes—
707C22⋊Q8×C73C2312yes—
708C22⋊Q8×C73C2314yes—
709C22⋊Q8×C73C2312yes—
710C22⋊Q8×C73C2314yes—
711#121×C73C2314yes—
712#121×C73C2314yes—
713#121×C73C2312yes—
714#121×C73C2312yes—
715#121×C73C2314yes—
716#121×C73C2312yes—
717#121×C73C2314yes—
718#121×C73C2314yes—
719#121×C73C2312yes—
720#121×C73C2312yes—
721#121×C73C2314yes—
722#120×C73C2312yes—
723#120×C73C2312yes—
724#120×C73C2314yes—
725C4×Q8×C73C2312yes—
726C4×D4×C73C2312yes—
727C4×D4×C73C2312yes—
728C4×D4×C73C2312yes—
729C4×D4×C73C2314yes—
730C4×D4×C73C2314yes—
731C4×D4×C73C2314yes—
732#117×C73C2311yescharacteristic
733#117×C73C2311yescharacteristic
734#117×C73C2314yes—
735#117×C73C2314yes—
736C2×C4⋊C4×C73C2312yes—
737C2×C22⋊C4×C73C2314yes—
738C2×C42×C73C2311yescharacteristic
739C23×D73C2411yescharacteristic
740C23×D73C2411yescharacteristic
741C23×D73C2412yes—
742C23×D73C2411yescharacteristic
743C23×D73C2412yes—
744C23×D73C2414yes—
745#11924029—28no—
746#11924029—42no—
747#11924029—42no—
748#11924029—44no—
749#11924029—44no—
750#11924029—44no—
751#11924028—48no—
752#11924028—48no—
753#11924028—44no—
754#11924028—42no—
755#11924028—44no—
756#11924028—42no—
757#11924028—42no—
758#11924028—42no—
759#11924028—48no—
760#11924027—28no—
761#11924027—44no—
762#11924027—48no—
763#11924027—44no—
764#11924027—42no—
765#11924027—42no—
766#11924027—42no—
767#11924027—42no—
768#11924027—48no—
769#11924027—44no—
770#11924027—48no—
771#11924027—44no—
772C2×Dic146—42no—
773C2×Dic146C2414yes—
774C2×Dic146C2412yes—
775C2×Dic146C2414yes—
776C2×Dic146C2411yescharacteristic
777C2×Dic146C2411yescharacteristic
778C2×Dic146C2414yes—
779C2×Dic146C2411yescharacteristic
780C2×Dic146C2412yes—
781C2×Dic146C2412yes—
782C2×Dic146C2411yescharacteristic
783Q8×D73—44no—
784Q8×D73—42no—
785Q8×D73—42no—
786C2×D292—42no—
787C2×D292—44no—
788C2×D292C2414yes—
789C2×D292C2412yes—
790C2×D292C2414yes—
791C2×D292C2414yes—
792C2×D292C2414yes—
793C2×D292C2412yes—
794C2×D292C2412yes—
795C2×D292C2411yescharacteristic
796C2×D292C2412yes—
797C2×D292C2412yes—
798C2×D292C2414yes—
799C2×D292C2411yescharacteristic
800C2×D292C2411yescharacteristic
801C2×D292C2411yescharacteristic
802C2×C22⋊D73—48no—
803C2×C22⋊D73—44no—
804C2×C22⋊D73C2412yes—
805C2×C22⋊D73C2414yes—
806C2×C22⋊D73C2412yes—
807C2×C22⋊D73C2412yes—
808C2×C22⋊D73C2412yes—
809C2×C22⋊D73C2414yes—
810C2×C22⋊D73C2414yes—
811C2×C22⋊D73C2414yes—
812C2×C22⋊D73C2414yes—
813C2×C22⋊D73C2414yes—
814C2×C22⋊D73C2414yes—
815C2×C22⋊D73C2414yes—
816C2×C22⋊D73C2414yes—
817C2×C22⋊D73C2412yes—
818C2×C22⋊D73C2412yes—
819C2×C22⋊D73C2414yes—
820C2×C22⋊D73C2414yes—
821C2×C22⋊D73C2411yescharacteristic
822C2×C22⋊D73C2411yescharacteristic
823C2×C22⋊D73C2411yescharacteristic
824C2×C22⋊D73C2411yescharacteristic
825C2×C22⋊D73C2414yes—
826C2×C22⋊D73C2411yescharacteristic
827C2×C22⋊D73C2412yes—
828C2×C22⋊D73C2411yescharacteristic
829D4×D73—44no—
830D4×D73—44no—
831D4×D73—44no—
832D4×D73—48no—
833D4×D73—42no—
834D4×D73—42no—
835D4×D73—42no—
836D4×D73—44no—
837D4×D73—42no—
838D4×D73—48no—
839C22×Dic73—44no—
840C22×Dic73C2412yes—
841C22×Dic73C2411yescharacteristic
842C22×Dic73C2412yes—
843C22×Dic73C2414yes—
844C22×Dic73C2414yes—
845C22×Dic73C2411yescharacteristic
846C22×Dic73C2411yescharacteristic
847C22×Dic73C2414yes—
848C22×Dic73C2414yes—
849C22×Dic73C2412yes—
850C2×C4×D73—24no—
851C2×C4×D73—28no—
852C2×C4×D73—24no—
853C2×C4×D73—24no—
854C2×C4×D73—44no—
855C2×C4×D73—48no—
856C2×C4×D73—44no—
857C2×C4×D73C2412yes—
858C2×C4×D73C2412yes—
859C2×C4×D73C2411yescharacteristic
860C2×C4×D73C2411yescharacteristic
861C2×C4×D73C2411yescharacteristic
862C2×C4×D73C2411yescharacteristic
863C2×C4×D73C2411yescharacteristic
864C2×C4×D73C2414yes—
865C2×C4×D73C2414yes—
866C2×C4×D73C2411yescharacteristic
867C2×C4×D73C2411yescharacteristic
868C2×C4×D73C2412yes—
869C2×C4×D73C2411yescharacteristic
870C2×C4×D73C2411yescharacteristic
871C2×C4×D73C2412yes—
872C2×C4×D73C2412yes—
873C2×C4×D73C2412yes—
874C2×C4×D73C2412yes—
875C2×C4×D73C2414yes—
876C2×C4×D73C2414yes—
877C2×C4×D73C2414yes—
878C2×C4×D73C2414yes—
879C2×C4×D73C2414yes—
880C2×C4×D73C2414yes—
881C2×C4×D73C2411yescharacteristic
882C4⋊Dic73C2412yes—
883C4⋊Dic73C2412yes—
884C4⋊Dic73C2412yes—
885C4⋊Dic73C2412yes—
886C4⋊Dic73C2414yes—
887C4⋊Dic73C2414yes—
888C4⋊Dic73C2414yes—
889C4⋊Dic73C2414yes—
890C4⋊Dic73C2414yes—
891#11924007C2412yes—
892#11924007C2412yes—
893#11924007C2414yes—
894#11924007C2412yes—
895#11924007C2414yes—
896#11924007C2414yes—
897#11924007C2412yes—
898#11924007C2414yes—
899#11924007C2414yes—
900#11924007C2414yes—
901#11924007C2414yes—
902#11924007C2414yes—
903#11924007C2414yes—
904#11924007C2414yes—
905#11924007C2414yes—
906#11924007C2414yes—
907#11924007C2414yes—
908#11924007C2414yes—
909#11924007C2414yes—
910#11924007C2414yes—
911C22⋊Dic73C2412yes—
912C22⋊Dic73C2412yes—
913C22⋊Dic73C2414yes—
914C22⋊Dic73C2412yes—
915C22⋊Dic73C2412yes—
916C22⋊Dic73C2414yes—
917C22⋊Dic73C2412yes—
918C22⋊Dic73C2412yes—
919C22⋊Dic73C2414yes—
920C22⋊Dic73C2414yes—
921C22⋊Dic73C2414yes—
922C22⋊Dic73C2414yes—
923C22⋊Dic73C2414yes—
924#11924005C2412yes—
925#11924005C2412yes—
926#11924005C2414yes—
927#11924005C2414yes—
928#11924005C2414yes—
929#11924005C2412yes—
930#11924005C2412yes—
931#11924005C2412yes—
932#11924005C2414yes—
933#11924005C2412yes—
934#11924005C2414yes—
935#11924005C2412yes—
936#11924005C2412yes—
937#11924005C2414yes—
938#11924005C2414yes—
939#11924005C2414yes—
940#11924005C2414yes—
941#11924005C2414yes—
942#11924005C2414yes—
943#11924005C2414yes—
944#11924005C2414yes—
945#11924005C2414yes—
946#11924005C2414yes—
947#11924005C2414yes—
948#11924005C2414yes—
949#11924005C2414yes—
950#11924005C2414yes—
951#11924005C2414yes—
952C4×Dic73C2412yes—
953C4×Dic73C2412yes—
954C4×Dic73C2412yes—
955C4×Dic73C2414yes—
956C4×Dic73C2411yescharacteristic
957C4×Dic73C2412yes—
958C4×Dic73C2412yes—
959C4×Dic73C2411yescharacteristic
960C4×Dic73C2414yes—
961C4×Dic73C2412yes—
962C4×Dic73C2414yes—
963C4×Dic73C2412yes—
964C4×Dic73C2414yes—
965C4×Dic73C2414yes—
966C4×Dic73C2414yes—
967C4×Dic73C2414yes—
968C24×C73C2412yes—
969#41×C73—42no—
970#41×C73—42no—
971#41×C73—44no—
972C2×Q8×C73—42no—
973C2×Q8×C73C2412yes—
974C2×Q8×C73C2411yescharacteristic
975C2×Q8×C73C2412yes—
976C2×Q8×C73C2411yescharacteristic
977C2×D4×C73—42no—
978C2×D4×C73C2412yes—
979C2×D4×C73C2412yes—
980C2×D4×C73C2414yes—
981C2×D4×C73C2414yes—
982C2×D4×C73C2414yes—
983C2×D4×C73C2412yes—
984C2×D4×C73C2411yescharacteristic
985C2×D4×C73C2411yescharacteristic
986C2×D4×C73C2414yes—
987C2×D4×C73C2412yes—
988C2×D4×C73C2411yescharacteristic
989C2×D4×C73C2412yes—
990C2×D4×C73C2411yescharacteristic
991C22×C4×C73C2411yescharacteristic
992C22×C4×C73C2412yes—
993C22×C4×C73C2411yescharacteristic
994C22×C4×C73C2411yescharacteristic
995C22×C4×C73C2412yes—
996C22×C4×C73C2414yes—
997C22×C4×C73C2414yes—
998C22×C4×C73C2414yes—
999C22×C4×C73C2412yes—
1000C4⋊C4×C73C2412yes—
1001C4⋊C4×C73C2412yes—
1002C4⋊C4×C73C2414yes—
1003C4⋊C4×C73C2414yes—
1004C4⋊C4×C73C2414yes—
1005C4⋊C4×C73C2414yes—
1006C4⋊C4×C73C2414yes—
1007C4⋊C4×C73C2412yes—
1008C4⋊C4×C73C2412yes—
1009C4⋊C4×C73C2414yes—
1010C4⋊C4×C73C2414yes—
1011C22⋊C4×C73C2412yes—
1012C22⋊C4×C73C2414yes—
1013C22⋊C4×C73C2414yes—
1014C22⋊C4×C73C2414yes—
1015C22⋊C4×C73C2412yes—
1016C22⋊C4×C73C2412yes—
1017C22⋊C4×C73C2414yes—
1018C22⋊C4×C73C2414yes—
1019C22⋊C4×C73C2412yes—
1020C22⋊C4×C73C2412yes—
1021C22⋊C4×C73C2412yes—
1022C22⋊C4×C73C2414yes—
1023C22⋊C4×C73C2414yes—
1024C22⋊C4×C73C2414yes—
1025C22⋊C4×C73C2414yes—
1026C42×C73C2411yescharacteristic
1027C42×C73C2412yes—
1028C42×C73C2411yescharacteristic
1029C42×C73C2412yes—
1030C42×C73C2414yes—
1031C42×C73C2412yes—
1032C23×C73—42no—
1033C23×C73—44no—
1034C23×C73C2511yescharacteristic
1035C23×C73C2514yes—
1036C23×C73C2511yescharacteristic
1037C23×C73C2511yescharacteristic
1038C23×C73C2512yes—
1039C22×D73—22no—
1040C22×D73—24no—
1041C22×D73—22no—
1042C22×D73—22no—
1043C22×D73—42no—
1044C22×D73—44no—
1045C22×D73—42no—
1046C22×D73—42no—
1047C22×D73—42no—
1048C22×D73—42no—
1049C22×D73—42no—
1050C22×D73—44no—
1051C22×D73—44no—
1052C22×D73—44no—
1053C22×D73C2512yes—
1054C22×D73C2514yes—
1055C22×D73C2511yescharacteristic
1056C22×D73C2511yescharacteristic
1057C22×D73C2511yescharacteristic
1058C22×D73C2511yescharacteristic
1059Q8×C73—24no—
1060Q8×C73—42no—
1061Q8×C73—41no—
1062Q8×C73—41no—
1063D4×C73—24no—
1064D4×C73—42no—
1065D4×C73—41no—
1066D4×C73—41no—
1067D4×C73—41no—
1068D4×C73—42no—
1069D4×C73—41no—
1070D4×C73—44no—
1071D4×C73—44no—
1072D4×C73—42no—
1073D4×C73—42no—
1074D4×C73—44no—
1075D4×C73—44no—
1076C2×C4×C73—22no—
1077C2×C4×C73—22no—
1078C2×C4×C73—22no—
1079C2×C4×C73—24no—
1080C2×C4×C73—42no—
1081C2×C4×C73—44no—
1082C2×C4×C73—42no—
1083C2×C4×C73—44no—
1084C2×C4×C73—44no—
1085C2×C4×C73C2512yes—
1086C2×C4×C73C2511yescharacteristic
1087C2×C4×C73C2514yes—
1088C2×C4×C73C2512yes—
1089C2×C4×C73C2511yescharacteristic
1090C2×C4×C73C2511yescharacteristic
1091C2×C4×C73C2514yes—
1092C2×C4×C73C2514yes—
1093C2×C4×C73C2512yes—
1094C2×C4×C73C2511yescharacteristic
1095C22⋊D73—28no—
1096C22⋊D73—24no—
1097C22⋊D73—24no—
1098C22⋊D73—28no—
1099C22⋊D73—24no—
1100C22⋊D73—24no—
1101C22⋊D73—44no—
1102C22⋊D73—42no—
1103C22⋊D73—42no—
1104C22⋊D73—41no—
1105C22⋊D73—42no—
1106C22⋊D73—41no—
1107C22⋊D73—44no—
1108C22⋊D73—41no—
1109C22⋊D73—41no—
1110C22⋊D73—41no—
1111C22⋊D73—41no—
1112C22⋊D73—44no—
1113C22⋊D73—44no—
1114C22⋊D73—44no—
1115C22⋊D73—44no—
1116C22⋊D73—44no—
1117C22⋊D73—44no—
1118C22⋊D73—44no—
1119C22⋊D73—44no—
1120C2×Dic73—22no—
1121C2×Dic73—22no—
1122C2×Dic73—22no—
1123C2×Dic73—24no—
1124C2×Dic73—28no—
1125C2×Dic73—24no—
1126C2×Dic73—28no—
1127C2×Dic73—42no—
1128C2×Dic73—44no—
1129C2×Dic73—44no—
1130C2×Dic73C2512yes—
1131C2×Dic73C2514yes—
1132C2×Dic73C2514yes—
1133C2×Dic73C2511yescharacteristic
1134C2×Dic73C2512yes—
1135C2×Dic73C2514yes—
1136C2×Dic73C2511yescharacteristic
1137C2×Dic73C2511yescharacteristic
1138C2×Dic73C2511yescharacteristic
1139C2×Dic73C2512yes—
1140D292—28no—
1141D292—24no—
1142D292—44no—
1143D292—42no—
1144D292—42no—
1145D292—41no—
1146D292—41no—
1147D292—41no—
1148D292—42no—
1149D292—41no—
1150D292—42no—
1151D292—44no—
1152D292—44no—
1153D292—44no—
1154C4×D73—22no—
1155C4×D73—22no—
1156C4×D73—24no—
1157C4×D73—22no—
1158C4×D73—24no—
1159C4×D73—22no—
1160C4×D73—22no—
1161C4×D73—22no—
1162C4×D73—24no—
1163C4×D73—22no—
1164C4×D73—22no—
1165C4×D73—22no—
1166C4×D73—28no—
1167C4×D73—24no—
1168C4×D73—24no—
1169C4×D73—28no—
1170C4×D73—42no—
1171C4×D73—42no—
1172C4×D73—44no—
1173C4×D73—44no—
1174C4×D73—44no—
1175C4×D73—44no—
1176C4×D73—44no—
1177C4×D73—44no—
1178C4×D73H(5,𝔽2)14yes—
1179Dic146—24no—
1180Dic146—28no—
1181Dic146—44no—
1182Dic146—41no—
1183Dic146—42no—
1184Dic146—41no—
1185Dic146—41no—
1186Dic146—41no—
1187Dic146—42no—
1188Dic146—44no—
1189C22×C73—21no—
1190C22×C73—24no—
1191C22×C73—21no—
1192C22×C73—22no—
1193C22×C73—21no—
1194C22×C73—22no—
1195C22×C73—24no—
1196C22×C73—22no—
1197C22×C73—22no—
1198C22×C73—24no—
1199C22×C73—22no—
1200C22×C73—22no—
1201C22×C73—84no—
1202C22×C73C2611yescharacteristic
1203C2×D73—22no—
1204C2×D73—22no—
1205C2×D73—21no—
1206C2×D73—21no—
1207C2×D73—21no—
1208C2×D73—24no—
1209C2×D73—22no—
1210C2×D73—24no—
1211C2×D73—22no—
1212C2×D73—22no—
1213C2×D73—24no—
1214C2×D73—22no—
1215C2×D73—22no—
1216C2×D73—44no—
1217C2×D73—82no—
1218C2×D73—82no—
1219C2×D73—84no—
1220C2×D73—84no—
1221C2×D73—88no—
1222C2×D73C2×H(5,𝔽2)12yes—
1223C4×C73—21no—
1224C4×C73—21no—
1225C4×C73—22no—
1226C4×C73—21no—
1227C4×C73—24no—
1228C4×C73—24no—
1229C4×C73—24no—
1230C4×C73—22no—
1231C4×C73—22no—
1232C4×C73C2×H(5,𝔽2)12yes—
1233Dic73—24no—
1234Dic73—21no—
1235Dic73—22no—
1236Dic73—21no—
1237Dic73—21no—
1238Dic73—24no—
1239Dic73—22no—
1240Dic73—24no—
1241Dic73C2×H(5,𝔽2)12yes—
1242Dic73#58514yes—
1243#62759—731nomaximal, Sylow
1244C2×C73—41no—
1245C2×C73—41no—
1246C2×C73—42no—
1247C2×C73—44no—
1248C2×C73—41no—
1249C2×C73C22×H(5,𝔽2)11yescharacteristic
1250C2×C73C2×#58512yes—
1251D73—22no—
1252D73—41no—
1253D73—41no—
1254D73—41no—
1255D73—44no—
1256D73—42no—
1257#3551—731no—
1258#3551—732no—
1259#3551D7311yescharacteristic, complemented
1260#3550—731no—
1261#3549—731no—
1262#3548—732no—
1263#3547—732no—
1264#3547—732no—
1265#3546—732no—
1266#3546—732no—
1267#3545—732no—
1268#3545—732no—
1269#3544—732no—
1270#3543—732no—
1271#3542—734no—
1272#3542—734no—
1273#3529—732no—
1274#3529—732no—
1275#3483—732no—
1276#3481—732no—
1277#3475—732no—
1278#3475—732no—
1279D4×#41—732no—
1280D4×#41—732no—
1281#3460—734no—
1282#3460—734no—
1283#3449—732no—
1284#3449—731no—
1285#3449—731no—
1286#3444—732no—
1287C2×#532—731no—
1288C73#6275911yescharacteristic, complemented, Sylow
1289C22×#41—731no—
1290C22×#41—731no—
1291C22×#41—732no—
1292C22×#41—731no—
1293C22×#41—731no—
1294#563—732no—
1295#563—732no—
1296#563—734no—
1297#563—732no—
1298#563C2×D7312yescomplemented
1299#562—734no—
1300#562—734no—
1301#562—734no—
1302#562—734no—
1303#562—734no—
1304#562—734no—
1305H(3,𝔽4)—732no—
1306H(3,𝔽4)—732no—
1307#560—732no—
1308#560—734no—
1309#560—734no—
1310#560—734no—
1311#560—734no—
1312#560—734no—
1313#560C2×D7312yescomplemented
1314#559—732no—
1315Q82—732no—
1316#556—732no—
1317#556—732no—
1318#555—734no—
1319#555—732no—
1320#555—732no—
1321#555—732no—
1322#555—732no—
1323#555—734no—
1324#555—734no—
1325#555C2×D7312yescomplemented
1326#554—732no—
1327#554—734no—
1328#554—732no—
1329#553—734no—
1330#553—732no—
1331#553—732no—
1332#553—732no—
1333#553—734no—
1334#553C2×D7312yescomplemented
1335#552—734no—
1336#552—734no—
1337#552—732no—
1338#552—732no—
1339#552—732no—
1340#552C2×D7312yescomplemented
1341#551—734no—
1342#551—732no—
1343#551—734no—
1344#551—734no—
1345#551—734no—
1346#551—734no—
1347#551C2×D7312yescomplemented
1348#550—732no—
1349#550—732no—
1350#550—734no—
1351#550—734no—
1352#550—734no—
1353D4×Q8—732no—
1354D4×Q8—732no—
1355#548—732no—
1356#548—732no—
1357#548—732no—
1358#548C2×D7312yescomplemented
1359#547—732no—
1360#547—734no—
1361#547—734no—
1362#547—732no—
1363#547—732no—
1364#547—732no—
1365#546—734no—
1366#546—732no—
1367#546—734no—
1368#546—734no—
1369#546—734no—
1370#546—734no—
1371#546—732no—
1372#546—734no—
1373#546—732no—
1374#546—734no—
1375#546—734no—
1376#546C2×D7312yescomplemented
1377D42—732no—
1378D42—734no—
1379D42—732no—
1380D42—734no—
1381D42—732no—
1382#544—734no—
1383#544—734no—
1384#542—734no—
1385#542—734no—
1386#542—734no—
1387#542—734no—
1388#542—734no—
1389#542—734no—
1390#542—734no—
1391#542—734no—
1392#540—734no—
1393#540—734no—
1394#540—734no—
1395#540—734no—
1396#540—734no—
1397#540—734no—
1398#540—734no—
1399#540C2×D7314yescomplemented
1400#538—734no—
1401#538—734no—
1402#538—734no—
1403#538—734no—
1404#538—734no—
1405#538—734no—
1406#538—734no—
1407#538C2×D7314yescomplemented
1408#537—732no—
1409#537—732no—
1410#537—732no—
1411#537—732no—
1412#537—734no—
1413#537—732no—
1414#537—732no—
1415#537—734no—
1416#537—732no—
1417#537C2×D7312yescomplemented
1418#536—731no—
1419#536—731no—
1420#536—732no—
1421#536—732no—
1422#536—734no—
1423#536—732no—
1424#536—732no—
1425#536—731no—
1426#536C2×D7311yescharacteristic, complemented
1427#535—731no—
1428#535—731no—
1429#535—732no—
1430#535—734no—
1431#535—732no—
1432#535—734no—
1433#535—732no—
1434#535—732no—
1435#535—734no—
1436#535—734no—
1437#535—734no—
1438#535—731no—
1439#535C2×D7311yescharacteristic, complemented
1440#534—732no—
1441#534—732no—
1442#534—734no—
1443#534—734no—
1444#534—732no—
1445#534—732no—
1446#533—732no—
1447#533—732no—
1448#533—732no—
1449#532—731no—
1450#532—731no—
1451#532—731no—
1452#532—732no—
1453#532—731no—
1454#532—732no—
1455#532—731no—
1456#532—732no—
1457#532—731no—
1458#532—732no—
1459#532—732no—
1460#532—734no—
1461#532—732no—
1462#532—732no—
1463#532—732no—
1464#532—734no—
1465#532—734no—
1466#532—734no—
1467#532—732no—
1468#532—732no—
1469#532—732no—
1470#532—731no—
1471#532C2×D7311yescharacteristic, complemented
1472C2×C4⋊Q8—731no—
1473C2×#127—731no—
1474#529—734no—
1475#529—734no—
1476#529—734no—
1477#529—734no—
1478#529—732no—
1479#529—734no—
1480#529—732no—
1481#529—734no—
1482#529—734no—
1483#529—734no—
1484#529—734no—
1485#529—734no—
1486#529—732no—
1487#529C2×D7312yescomplemented
1488C2×#124—731no—
1489C2×#124—731no—
1490#525—734no—
1491#525—732no—
1492#525—732no—
1493#525—734no—
1494#525—732no—
1495#525—732no—
1496#525—732no—
1497#525—734no—
1498#525—734no—
1499#525—732no—
1500#525—734no—
1501#525—732no—
1502#525—732no—
1503#525—734no—
1504#525—732no—
1505#525—732no—
1506#525—734no—
1507#525—734no—
1508C2×#121—732no—
1509C2×#121—732no—
1510C4×#41—732no—
1511C4×#41—734no—
1512C4×#41—732no—
1513C4×#41—734no—
1514C4×#41—734no—
1515C4×#41—734no—
1516C2×C4×D4—732no—
1517C2×C4×D4—732no—
1518C2×C4×D4—734no—
1519C2×C4×D4—734no—
1520C2×#117—731no—
1521C2×#117—731no—
1522C2×#117—732no—
1523C22×C42—731no—
1524C2×#41—2924no—
1525C2×#41—2924no—
1526C2×#41—2928no—
1527C2×#41—2924no—
1528C2×#41—2924no—
1529C2×#41—731no—
1530C2×#41—732no—
1531C2×#41—731no—
1532C2×#41—732no—
1533C2×#41—732no—
1534C2×#41—732no—
1535C2×#41—734no—
1536C2×#41—734no—
1537C2×#41—731no—
1538C2×#41—732no—
1539C2×#41—734no—
1540C2×#41—731no—
1541C2×#41—731no—
1542C2×#41—732no—
1543C2×#41—731no—
1544C2×#41—732no—
1545C2×#41—732no—
1546C2×#41—732no—
1547C2×#41—734no—
1548C2×#41—734no—
1549C2×#41—731no—
1550C2×#41—731no—
1551C2×#41—731no—
1552C2×#41—732no—
1553C2×#41—731no—
1554C2×#41—734no—
1555C2×#41—732no—
1556C2×#41C22×D7311yescharacteristic
1557C2×#41C22×D7311yescharacteristic
1558C2×#41C22×D7312yes—
1559C22×Q8—731no—
1560C22×Q8—731no—
1561C22×Q8—732no—
1562C22×Q8—731no—
1563C22×Q8C22×D7311yescharacteristic
1564C22×D4—734no—
1565C22×D4—732no—
1566C22×D4—732no—
1567C22×D4—732no—
1568C22×D4—734no—
1569C22×D4—731no—
1570C22×D4—731no—
1571C22×D4—732no—
1572C22×D4—731no—
1573C22×D4—731no—
1574C22×D4—734no—
1575C22×D4—732no—
1576C22×D4—732no—
1577C22×D4—731no—
1578C22×D4C22×D7311yescharacteristic
1579C23×C4—732no—
1580C23×C4—732no—
1581C23×C4—734no—
1582C23×C4—732no—
1583C23×C4—732no—
1584C23×C4—731no—
1585C23×C4—731no—
1586C23×C4—731no—
1587C4⋊Q8—731no—
1588C4⋊Q8—731no—
1589C4⋊Q8—732no—
1590C4⋊Q8—732no—
1591C4⋊Q8—732no—
1592C4⋊Q8—734no—
1593C4⋊Q8—732no—
1594C4⋊Q8—732no—
1595C4⋊Q8—732no—
1596C4⋊Q8—732no—
1597C4⋊Q8—734no—
1598C4⋊Q8—734no—
1599C4⋊Q8—734no—
1600C4⋊Q8—731no—
1601C4⋊Q8—732no—
1602C4⋊Q8C22×D7311yescharacteristic
1603C4⋊Q8C22×D7312yes—
1604#127—732no—
1605#127—732no—
1606#127—731no—
1607#127—731no—
1608#127—732no—
1609#127—732no—
1610#127—734no—
1611#127—732no—
1612#127—734no—
1613#127—734no—
1614#127—734no—
1615#127—731no—
1616#127—732no—
1617#127C22×D7311yescharacteristic
1618#127C22×D7312yes—
1619#126—734no—
1620#126—734no—
1621#126—734no—
1622#126—734no—
1623#126—734no—
1624#126—734no—
1625#126—734no—
1626#126—734no—
1627#126—734no—
1628#126—734no—
1629#126—734no—
1630#126—734no—
1631#126—734no—
1632#126C22×D7314yes—
1633#126C22×D7314yes—
1634#126C22×D7314yes—
1635#125—734no—
1636#125—734no—
1637#125—734no—
1638#125—734no—
1639#125—734no—
1640#125—734no—
1641#125—734no—
1642#125—732no—
1643#125C22×D7312yes—
1644#125C22×D7314yes—
1645#124—731no—
1646#124—731no—
1647#124—732no—
1648#124—732no—
1649#124—731no—
1650#124—731no—
1651#124—734no—
1652#124—732no—
1653#124—732no—
1654#124—732no—
1655#124—732no—
1656#124—732no—
1657#124—732no—
1658#124—734no—
1659#124—734no—
1660#124—734no—
1661#124—734no—
1662#124—734no—
1663#124—734no—
1664#124—734no—
1665#124—734no—
1666#124—734no—
1667#124—734no—
1668#124—734no—
1669#124—734no—
1670#124—731no—
1671#124—731no—
1672#124—732no—
1673#124—734no—
1674#124—732no—
1675#124—732no—
1676#124—734no—
1677#124C22×D7311yescharacteristic
1678#124C22×D7311yescharacteristic
1679#124C22×D7312yes—
1680#124C22×D7312yes—
1681#124C22×D7312yes—
1682#124C22×D7314yes—
1683#123—732no—
1684#123—732no—
1685#123—734no—
1686#123—734no—
1687#123—734no—
1688#123—734no—
1689#123—732no—
1690#123—732no—
1691#123—734no—
1692#123—734no—
1693#123—734no—
1694#123—734no—
1695#123—734no—
1696#123—734no—
1697#123—734no—
1698#123—734no—
1699#123—734no—
1700#123—734no—
1701#123—734no—
1702#123—734no—
1703#123—734no—
1704#123—734no—
1705#123—734no—
1706#123—734no—
1707#123—734no—
1708#123—734no—
1709#123—734no—
1710#123—732no—
1711#123—734no—
1712#123—734no—
1713#123—732no—
1714#123—734no—
1715#123—734no—
1716#123—734no—
1717#123—734no—
1718#123—734no—
1719#123C22×D7314yes—
1720#123C22×D7312yes—
1721#123C22×D7312yes—
1722#123C22×D7314yes—
1723#123C22×D7314yes—
1724#123C22×D7314yes—
1725C22⋊Q8—732no—
1726C22⋊Q8—732no—
1727C22⋊Q8—732no—
1728C22⋊Q8—734no—
1729C22⋊Q8—734no—
1730C22⋊Q8—732no—
1731C22⋊Q8—734no—
1732C22⋊Q8—732no—
1733C22⋊Q8—732no—
1734C22⋊Q8—734no—
1735C22⋊Q8—734no—
1736C22⋊Q8—732no—
1737C22⋊Q8—734no—
1738C22⋊Q8—734no—
1739C22⋊Q8—734no—
1740C22⋊Q8—734no—
1741C22⋊Q8—734no—
1742C22⋊Q8—732no—
1743C22⋊Q8—732no—
1744C22⋊Q8—734no—
1745C22⋊Q8—734no—
1746C22⋊Q8—734no—
1747C22⋊Q8—734no—
1748C22⋊Q8—734no—
1749C22⋊Q8—734no—
1750C22⋊Q8—734no—
1751C22⋊Q8—734no—
1752C22⋊Q8—734no—
1753C22⋊Q8—734no—
1754C22⋊Q8—734no—
1755C22⋊Q8—734no—
1756C22⋊Q8—734no—
1757C22⋊Q8—734no—
1758C22⋊Q8C22×D7312yes—
1759C22⋊Q8C22×D7312yes—
1760C22⋊Q8C22×D7314yes—
1761C22⋊Q8C22×D7312yes—
1762C22⋊Q8C22×D7314yes—
1763#121—732no—
1764#121—732no—
1765#121—732no—
1766#121—732no—
1767#121—732no—
1768#121—732no—
1769#121—732no—
1770#121—734no—
1771#121—734no—
1772#121—734no—
1773#121—732no—
1774#121—732no—
1775#121—734no—
1776#121—734no—
1777#121—734no—
1778#121—734no—
1779#121—734no—
1780#121—734no—
1781#121—734no—
1782#121—734no—
1783#121—734no—
1784#121—734no—
1785#121—734no—
1786#121—734no—
1787#121—734no—
1788#121—734no—
1789#121—732no—
1790#121—732no—
1791#121—732no—
1792#121—732no—
1793#121—732no—
1794#121—734no—
1795#121—734no—
1796#121—734no—
1797#121—734no—
1798#121—734no—
1799#121—732no—
1800#121—732no—
1801#121—732no—
1802#121—732no—
1803#121—732no—
1804#121—734no—
1805#121—734no—
1806#121—734no—
1807#121—734no—
1808#121—734no—
1809#121—732no—
1810#121—732no—
1811#121—732no—
1812#121—732no—
1813#121—734no—
1814#121—734no—
1815#121—734no—
1816#121—734no—
1817#121—734no—
1818#121—734no—
1819#121—734no—
1820#121—734no—
1821#121—734no—
1822#121—734no—
1823#121—734no—
1824#121—734no—
1825#121—734no—
1826#121—734no—
1827#121—734no—
1828#121—734no—
1829#121—734no—
1830#121C22×D7312yes—
1831#121C22×D7312yes—
1832#121C22×D7312yes—
1833#121C22×D7314yes—
1834#121C22×D7312yes—
1835#121C22×D7312yes—
1836#121C22×D7314yes—
1837#121C22×D7314yes—
1838#121C22×D7314yes—
1839#121C22×D7314yes—
1840#121C22×D7314yes—
1841#120—732no—
1842#120—732no—
1843#120—734no—
1844#120—734no—
1845#120—732no—
1846#120—734no—
1847#120—734no—
1848#120—734no—
1849#120—734no—
1850#120—732no—
1851#120—734no—
1852#120—734no—
1853#120—734no—
1854#120—734no—
1855#120—732no—
1856#120—734no—
1857#120—734no—
1858#120—734no—
1859#120—734no—
1860#120—732no—
1861#120—734no—
1862#120—734no—
1863#120—734no—
1864#120C22×D7312yes—
1865#120C22×D7312yes—
1866#120C22×D7314yes—
1867C4×Q8—732no—
1868C4×Q8—734no—
1869C4×Q8—734no—
1870C4×Q8—732no—
1871C4×Q8—734no—
1872C4×Q8—734no—
1873C4×Q8—734no—
1874C4×Q8—732no—
1875C4×Q8—734no—
1876C4×Q8C22×D7312yes—
1877C4×D4—734no—
1878C4×D4—732no—
1879C4×D4—732no—
1880C4×D4—734no—
1881C4×D4—734no—
1882C4×D4—732no—
1883C4×D4—732no—
1884C4×D4—732no—
1885C4×D4—732no—
1886C4×D4—732no—
1887C4×D4—734no—
1888C4×D4—734no—
1889C4×D4—734no—
1890C4×D4—734no—
1891C4×D4—734no—
1892C4×D4—734no—
1893C4×D4—734no—
1894C4×D4—734no—
1895C4×D4—732no—
1896C4×D4—732no—
1897C4×D4—734no—
1898C4×D4—734no—
1899C4×D4—734no—
1900C4×D4—734no—
1901C4×D4—732no—
1902C4×D4—734no—
1903C4×D4—732no—
1904C4×D4—732no—
1905C4×D4—734no—
1906C4×D4—732no—
1907C4×D4—732no—
1908C4×D4—734no—
1909C4×D4—734no—
1910C4×D4—734no—
1911C4×D4—734no—
1912C4×D4—734no—
1913C4×D4—734no—
1914C4×D4—734no—
1915C4×D4—734no—
1916C4×D4—734no—
1917C4×D4—734no—
1918C4×D4—734no—
1919C4×D4—734no—
1920C4×D4—734no—
1921C4×D4—734no—
1922C4×D4—734no—
1923C4×D4—734no—
1924C4×D4—732no—
1925C4×D4—732no—
1926C4×D4—734no—
1927C4×D4—734no—
1928C4×D4—732no—
1929C4×D4C22×D7312yes—
1930C4×D4C22×D7312yes—
1931C4×D4C22×D7314yes—
1932C4×D4C22×D7314yes—
1933C4×D4C22×D7312yes—
1934C4×D4C22×D7314yes—
1935#117—731no—
1936#117—731no—
1937#117—732no—
1938#117—732no—
1939#117—734no—
1940#117—734no—
1941#117—732no—
1942#117—732no—
1943#117—734no—
1944#117—734no—
1945#117—734no—
1946#117—732no—
1947#117—732no—
1948#117—734no—
1949#117—734no—
1950#117—734no—
1951#117—734no—
1952#117—734no—
1953#117—732no—
1954#117—732no—
1955#117—734no—
1956#117—734no—
1957#117—734no—
1958#117—734no—
1959#117C22×D7311yescharacteristic
1960#117C22×D7311yescharacteristic
1961#117C22×D7314yes—
1962#117C22×D7314yes—
1963C2×C4⋊C4—732no—
1964C2×C4⋊C4—734no—
1965C2×C4⋊C4—732no—
1966C2×C4⋊C4—732no—
1967C2×C4⋊C4—732no—
1968C2×C4⋊C4—732no—
1969C2×C4⋊C4—734no—
1970C2×C4⋊C4C22×D7312yes—
1971C2×C22⋊C4—734no—
1972C2×C22⋊C4—734no—
1973C2×C22⋊C4—732no—
1974C2×C22⋊C4—732no—
1975C2×C22⋊C4—732no—
1976C2×C22⋊C4—732no—
1977C2×C22⋊C4—732no—
1978C2×C22⋊C4—732no—
1979C2×C22⋊C4—734no—
1980C2×C22⋊C4—734no—
1981C2×C22⋊C4C22×D7314yes—
1982C2×C42—734no—
1983C2×C42—734no—
1984C2×C42—732no—
1985C2×C42—731no—
1986C2×C42—732no—
1987C2×C42—732no—
1988C2×C42—732no—
1989C2×C42—734no—
1990C2×C42—731no—
1991C2×C42—731no—
1992C2×C42—731no—
1993C2×C42—731no—
1994C2×C42—732no—
1995C2×C42C22×D7311yescharacteristic
1996C24—734no—
1997C24—732no—
1998C24—732no—
1999C24—731no—
2000C24—731no—
2001C24—731no—
2002C24C23×D7312yes—
2003#41—42no—
2004#41—42no—
2005#41—44no—
2006#41—2924no—
2007#41—2922no—
2008#41—2922no—
2009#41—2922no—
2010#41—2924no—
2011#41—2922no—
2012#41—2928no—
2013#41—2928no—
2014#41—2928no—
2015#41—2924no—
2016#41—2928no—
2017#41—2924no—
2018#41—2924no—
2019#41—2924no—
2020#41—2924no—
2021#41—2928no—
2022#41—2922no—
2023#41—2922no—
2024#41—2922no—
2025#41—2924no—
2026#41—2922no—
2027#41—2928no—
2028#41—2922no—
2029#41—2924no—
2030#41—2922no—
2031#41—1468no—
2032#41—1468no—
2033C2×Q8—42no—
2034C2×Q8—2922no—
2035C2×Q8—2924no—
2036C2×Q8—2922no—
2037C2×Q8—2922no—
2038C2×Q8—734no—
2039C2×Q8—731no—
2040C2×Q8—732no—
2041C2×Q8—734no—
2042C2×Q8—731no—
2043C2×Q8—731no—
2044C2×Q8—732no—
2045C2×Q8—731no—
2046C2×Q8—734no—
2047C2×Q8—732no—
2048C2×Q8C23×D7312yes—
2049C2×Q8C23×D7311yescharacteristic
2050C2×Q8C23×D7312yes—
2051C2×Q8C23×D7311yescharacteristic
2052C2×D4—42no—
2053C2×D4—2922no—
2054C2×D4—2924no—
2055C2×D4—2928no—
2056C2×D4—2924no—
2057C2×D4—2924no—
2058C2×D4—2922no—
2059C2×D4—2922no—
2060C2×D4—2924no—
2061C2×D4—2922no—
2062C2×D4—2922no—
2063C2×D4—2924no—
2064C2×D4—2924no—
2065C2×D4—2928no—
2066C2×D4—2928no—
2067C2×D4—734no—
2068C2×D4—734no—
2069C2×D4—734no—
2070C2×D4—734no—
2071C2×D4—734no—
2072C2×D4—734no—
2073C2×D4—734no—
2074C2×D4—731no—
2075C2×D4—731no—
2076C2×D4—732no—
2077C2×D4—732no—
2078C2×D4—734no—
2079C2×D4—731no—
2080C2×D4—731no—
2081C2×D4—734no—
2082C2×D4—734no—
2083C2×D4—731no—
2084C2×D4—731no—
2085C2×D4—732no—
2086C2×D4—732no—
2087C2×D4—732no—
2088C2×D4—734no—
2089C2×D4—732no—
2090C2×D4—732no—
2091C2×D4—734no—
2092C2×D4—734no—
2093C2×D4—734no—
2094C2×D4—734no—
2095C2×D4—732no—
2096C2×D4—732no—
2097C2×D4—731no—
2098C2×D4—732no—
2099C2×D4—732no—
2100C2×D4—734no—
2101C2×D4—731no—
2102C2×D4—731no—
2103C2×D4—731no—
2104C2×D4—734no—
2105C2×D4—732no—
2106C2×D4C23×D7312yes—
2107C2×D4C23×D7314yes—
2108C2×D4C23×D7314yes—
2109C2×D4C23×D7314yes—
2110C2×D4C23×D7312yes—
2111C2×D4C23×D7312yes—
2112C2×D4C23×D7311yescharacteristic
2113C2×D4C23×D7311yescharacteristic
2114C2×D4C23×D7312yes—
2115C2×D4C23×D7311yescharacteristic
2116C2×D4C23×D7314yes—
2117C2×D4C23×D7312yes—
2118C2×D4C23×D7311yescharacteristic
2119C22×C4—2924no—
2120C22×C4—2924no—
2121C22×C4—2928no—
2122C22×C4—2924no—
2123C22×C4—734no—
2124C22×C4—734no—
2125C22×C4—732no—
2126C22×C4—732no—
2127C22×C4—732no—
2128C22×C4—734no—
2129C22×C4—734no—
2130C22×C4—734no—
2131C22×C4—734no—
2132C22×C4—734no—
2133C22×C4—734no—
2134C22×C4—731no—
2135C22×C4—732no—
2136C22×C4—732no—
2137C22×C4—731no—
2138C22×C4—734no—
2139C22×C4—734no—
2140C22×C4—731no—
2141C22×C4—731no—
2142C22×C4—732no—
2143C22×C4—732no—
2144C22×C4—731no—
2145C22×C4—731no—
2146C22×C4—731no—
2147C22×C4—731no—
2148C22×C4—731no—
2149C22×C4—734no—
2150C22×C4—734no—
2151C22×C4—732no—
2152C22×C4—731no—
2153C22×C4—731no—
2154C22×C4—731no—
2155C22×C4—731no—
2156C22×C4—732no—
2157C22×C4—732no—
2158C22×C4—1464no—
2159C22×C4—1464no—
2160C22×C4—1468no—
2161C22×C4—1464no—
2162C22×C4C23×D7311yescharacteristic
2163C22×C4C23×D7312yes—
2164C22×C4C23×D7311yescharacteristic
2165C22×C4C23×D7311yescharacteristic
2166C22×C4C23×D7312yes—
2167C22×C4C23×D7314yes—
2168C22×C4C23×D7314yes—
2169C22×C4C23×D7314yes—
2170C22×C4C23×D7312yes—
2171C4⋊C4—732no—
2172C4⋊C4—732no—
2173C4⋊C4—734no—
2174C4⋊C4—732no—
2175C4⋊C4—732no—
2176C4⋊C4—734no—
2177C4⋊C4—734no—
2178C4⋊C4—734no—
2179C4⋊C4—734no—
2180C4⋊C4—734no—
2181C4⋊C4—734no—
2182C4⋊C4—734no—
2183C4⋊C4—734no—
2184C4⋊C4—734no—
2185C4⋊C4—734no—
2186C4⋊C4—734no—
2187C4⋊C4—734no—
2188C4⋊C4—734no—
2189C4⋊C4—734no—
2190C4⋊C4—734no—
2191C4⋊C4—732no—
2192C4⋊C4—732no—
2193C4⋊C4—734no—
2194C4⋊C4—732no—
2195C4⋊C4—732no—
2196C4⋊C4—734no—
2197C4⋊C4—734no—
2198C4⋊C4—734no—
2199C4⋊C4—734no—
2200C4⋊C4C23×D7312yes—
2201C4⋊C4C23×D7312yes—
2202C4⋊C4C23×D7312yes—
2203C4⋊C4C23×D7312yes—
2204C4⋊C4C23×D7314yes—
2205C4⋊C4C23×D7314yes—
2206C4⋊C4C23×D7314yes—
2207C4⋊C4C23×D7314yes—
2208C4⋊C4C23×D7314yes—
2209C4⋊C4C23×D7314yes—
2210C4⋊C4C23×D7314yes—
2211C22⋊C4—732no—
2212C22⋊C4—732no—
2213C22⋊C4—734no—
2214C22⋊C4—732no—
2215C22⋊C4—732no—
2216C22⋊C4—734no—
2217C22⋊C4—732no—
2218C22⋊C4—732no—
2219C22⋊C4—734no—
2220C22⋊C4—734no—
2221C22⋊C4—734no—
2222C22⋊C4—734no—
2223C22⋊C4—734no—
2224C22⋊C4—732no—
2225C22⋊C4—732no—
2226C22⋊C4—734no—
2227C22⋊C4—734no—
2228C22⋊C4—734no—
2229C22⋊C4—732no—
2230C22⋊C4—732no—
2231C22⋊C4—734no—
2232C22⋊C4—734no—
2233C22⋊C4—734no—
2234C22⋊C4—734no—
2235C22⋊C4—732no—
2236C22⋊C4—732no—
2237C22⋊C4—734no—
2238C22⋊C4—734no—
2239C22⋊C4—732no—
2240C22⋊C4—732no—
2241C22⋊C4—734no—
2242C22⋊C4—734no—
2243C22⋊C4—734no—
2244C22⋊C4—734no—
2245C22⋊C4—734no—
2246C22⋊C4—734no—
2247C22⋊C4—734no—
2248C22⋊C4—734no—
2249C22⋊C4—734no—
2250C22⋊C4—734no—
2251C22⋊C4—734no—
2252C22⋊C4C23×D7312yes—
2253C22⋊C4C23×D7312yes—
2254C22⋊C4C23×D7314yes—
2255C22⋊C4C23×D7312yes—
2256C22⋊C4C23×D7312yes—
2257C22⋊C4C23×D7312yes—
2258C22⋊C4C23×D7312yes—
2259C22⋊C4C23×D7314yes—
2260C22⋊C4C23×D7314yes—
2261C22⋊C4C23×D7314yes—
2262C22⋊C4C23×D7314yes—
2263C22⋊C4C23×D7314yes—
2264C22⋊C4C23×D7314yes—
2265C22⋊C4C23×D7314yes—
2266C22⋊C4C23×D7314yes—
2267C42—732no—
2268C42—732no—
2269C42—734no—
2270C42—734no—
2271C42—732no—
2272C42—732no—
2273C42—731no—
2274C42—732no—
2275C42—731no—
2276C42—732no—
2277C42—734no—
2278C42—734no—
2279C42—734no—
2280C42—734no—
2281C42—732no—
2282C42—734no—
2283C42C23×D7311yescharacteristic
2284C42C23×D7312yes—
2285C42C23×D7311yescharacteristic
2286C42C23×D7312yes—
2287C42C23×D7314yes—
2288C42C23×D7312yes—
2289C23—42no—
2290C23—44no—
2291C23—2922no—
2292C23—2922no—
2293C23—2924no—
2294C23—2922no—
2295C23—2924no—
2296C23—2922no—
2297C23—2924no—
2298C23—2924no—
2299C23—2922no—
2300C23—2922no—
2301C23—731no—
2302C23—732no—
2303C23—734no—
2304C23—731no—
2305C23—731no—
2306C23—731no—
2307C23—1462no—
2308C23—1462no—
2309C23—1462no—
2310C23—1464no—
2311C23C24×D7311yescharacteristic
2312C23C24×D7311yescharacteristic
2313C23C24×D7314yes—
2314C23C24×D7312yes—
2315C23C24×D7311yescharacteristic
2316Q8—24no—
2317Q8—42no—
2318Q8—41no—
2319Q8—41no—
2320Q8—2922no—
2321Q8—2921no—
2322Q8—2922no—
2323Q8—2921no—
2324Q8—2921no—
2325Q8—2921no—
2326Q8—2924no—
2327Q8—2924no—
2328Q8—1468no—
2329Q8—1464no—
2330D4—24no—
2331D4—42no—
2332D4—42no—
2333D4—41no—
2334D4—41no—
2335D4—41no—
2336D4—41no—
2337D4—44no—
2338D4—42no—
2339D4—42no—
2340D4—44no—
2341D4—44no—
2342D4—44no—
2343D4—2922no—
2344D4—2921no—
2345D4—2921no—
2346D4—2921no—
2347D4—2922no—
2348D4—2921no—
2349D4—2924no—
2350D4—2922no—
2351D4—2922no—
2352D4—2924no—
2353D4—2924no—
2354D4—2924no—
2355D4—2921no—
2356D4—2921no—
2357D4—2921no—
2358D4—2921no—
2359D4—2924no—
2360D4—2924no—
2361D4—2921no—
2362D4—2921no—
2363D4—2922no—
2364D4—2922no—
2365D4—2922no—
2366D4—2924no—
2367D4—2924no—
2368D4—2924no—
2369D4—2924no—
2370D4—2924no—
2371D4—2924no—
2372D4—2924no—
2373D4—2924no—
2374D4—1468no—
2375D4—1464no—
2376D4—1464no—
2377D4—1468no—
2378D4—1464no—
2379D4—1464no—
2380D4—1468no—
2381D4—1464no—
2382C2×C4—22no—
2383C2×C4—22no—
2384C2×C4—24no—
2385C2×C4—22no—
2386C2×C4—42no—
2387C2×C4—44no—
2388C2×C4—42no—
2389C2×C4—44no—
2390C2×C4—44no—
2391C2×C4—2924no—
2392C2×C4—2924no—
2393C2×C4—2924no—
2394C2×C4—2922no—
2395C2×C4—2922no—
2396C2×C4—2924no—
2397C2×C4—2924no—
2398C2×C4—2924no—
2399C2×C4—2922no—
2400C2×C4—2924no—
2401C2×C4—2924no—
2402C2×C4—731no—
2403C2×C4—732no—
2404C2×C4—734no—
2405C2×C4—732no—
2406C2×C4—734no—
2407C2×C4—734no—
2408C2×C4—731no—
2409C2×C4—732no—
2410C2×C4—734no—
2411C2×C4—731no—
2412C2×C4—731no—
2413C2×C4—1464no—
2414C2×C4—1468no—
2415C2×C4—1464no—
2416C2×C4—1464no—
2417C2×C4—1462no—
2418C2×C4—1462no—
2419C2×C4—1462no—
2420C2×C4—1468no—
2421C2×C4—1462no—
2422C2×C4—1464no—
2423C2×C4—1462no—
2424C2×C4—1462no—
2425C2×C4—1462no—
2426C2×C4—1462no—
2427C2×C4—1468no—
2428C2×C4—1464no—
2429C2×C4—1462no—
2430C2×C4—1464no—
2431C2×C4—1468no—
2432C2×C4—1464no—
2433C2×C4—1462no—
2434C2×C4—1462no—
2435C2×C4—1462no—
2436C2×C4C24×D7312yes—
2437C2×C4C24×D7314yes—
2438C2×C4C24×D7314yes—
2439C2×C4C24×D7311yescharacteristic
2440C2×C4C24×D7312yes—
2441C2×C4C24×D7311yescharacteristic
2442C2×C4C24×D7311yescharacteristic
2443C2×C4C24×D7314yes—
2444C2×C4C24×D7312yes—
2445C2×C4C24×D7311yescharacteristic
2446C22—21no—
2447C22—21no—
2448C22—21no—
2449C22—22no—
2450C22—24no—
2451C22—22no—
2452C22—22no—
2453C22—24no—
2454C22—22no—
2455C22—24no—
2456C22—22no—
2457C22—22no—
2458C22—84no—
2459C22—2924no—
2460C22—5848no—
2461C22—5844no—
2462C22—5842no—
2463C22—5842no—
2464C22—5844no—
2465C22—732no—
2466C22—1462no—
2467C22—1464no—
2468C22—1461no—
2469C22—1461no—
2470C22—1461no—
2471C22—1462no—
2472C22—1462no—
2473C22—1462no—
2474C22—1464no—
2475C22—1464no—
2476C22—1462no—
2477C22—1462no—
2478C22—1462no—
2479C22C25×D7311yescharacteristic
2480C4—22no—
2481C4—21no—
2482C4—21no—
2483C4—21no—
2484C4—24no—
2485C4—22no—
2486C4—24no—
2487C4—22no—
2488C4—24no—
2489C4—732no—
2490C4—734no—
2491C4—1461no—
2492C4—1461no—
2493C4—1464no—
2494C4—1461no—
2495C4—1462no—
2496C4—1464no—
2497C4—1464no—
2498C4—1462no—
2499C4H(5,𝔽2)×D7312yes—
2500C2—41no—
2501C2—44no—
2502C2—41no—
2503C2—41no—
2504C2—42no—
2505C2—2921no—
2506C2—2922no—
2507C2—2924no—
2508C2—2921no—
2509C2—2921no—
2510C2—1462no—
2511C2C2×H(5,𝔽2)×D7311yescharacteristic
2512C2#585×D7312yes—
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3551C2
hypercenter#3551D73
hypocenterC73#62759
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3551

Complements

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

NH ≅ G/Ntype
1. #22624358C2semidirect
2. #22624353C2semidirect
3. #22624340C2semidirect
4. #22624334C2semidirect
5. #22624326C2semidirect
6. #22624319C2semidirect
7. #22624312C2semidirect
8. #22624302C2semidirect
9. #22624295C2semidirect
10. #22624284C2semidirect
11. #22624277C2semidirect
12. #22624270C2semidirect
13. #22624259C2semidirect
14. #22624246C2semidirect
15. #22624238C2semidirect
16. #22624072C2semidirect
17. #22624066C2semidirect
18. #22623556C2semidirect
19. #22623534C2semidirect
20. #22623490C2semidirect
21. #22623484C2semidirect
22. #22623420C2semidirect
23. #22623415C2semidirect
24. #22623350C2semidirect
25. #22623346C2semidirect
26. #22623263C2semidirect
27. #22623262C2semidirect
28. #22623259C2semidirect
29. #22623225C2semidirect
30. #532×D73C2semidirect
31. C73×#3551C2semidirect
32. C22×#11924029C22semidirect
33. C22×#11924027C22semidirect
34. C2×#41×D73C22semidirect
35. C2×#41×D73C22semidirect
36. C2×#41×D73C22semidirect
37. #17989340C22semidirect
38. #17989339C22semidirect
39. #17989336C22semidirect
40. #17989336C22semidirect
41. #17989335C22semidirect
42. #17989334C22semidirect
43. #17989333C22semidirect
44. #17989333C22semidirect
45. #17989332C22semidirect
46. #17989332C22semidirect
47. #17989330C22semidirect
48. #17989329C22semidirect
49. #17989328C22semidirect
50. #17989328C22semidirect
51. #17989327C22semidirect
52. #17989326C22semidirect
53. #17989325C22semidirect
54. #17989324C22semidirect
55. #17989321C22semidirect
56. #17989317C22semidirect
57. #17989308C22semidirect
58. #17989305C22semidirect
59. #17989301C22semidirect
60. #17989300C22semidirect
61. #17989300C22semidirect
62. #17989300C22semidirect
63. #17989299C22semidirect
64. #17989299C22semidirect
65. #17989299C22semidirect
66. #17989295C22semidirect
67. #17989292C22semidirect
68. #17989291C22semidirect
69. #17989290C22semidirect
70. #17989288C22semidirect
71. #17989287C22semidirect
72. #17989286C22semidirect
73. #17989283C22semidirect
74. #17989278C22semidirect
75. #17989277C22semidirect
76. #17989275C22semidirect
77. #17989273C22semidirect
78. #17989269C22semidirect
79. #17989267C22semidirect
80. #17989266C22semidirect
81. #17989265C22semidirect
82. #17989262C22semidirect
83. #17989261C22semidirect
84. #17989261C22semidirect
85. #17989258C22semidirect
86. #17989256C22semidirect
87. #17989255C22semidirect
88. #17989255C22semidirect
89. #17989255C22semidirect
90. Q8×C22⋊D73C22semidirect
91. #17989250C22semidirect
92. #17989249C22semidirect
93. #17989246C22semidirect
94. #17989245C22semidirect
95. #17989239C22semidirect
96. #17989239C22semidirect
97. #17989238C22semidirect
98. #17989237C22semidirect
99. #17989236C22semidirect
100. #17989235C22semidirect
101. #17989233C22semidirect
102. #17989233C22semidirect
103. #17989232C22semidirect
104. #17989230C22semidirect
105. #17989230C22semidirect
106. #17989229C22semidirect
107. #17989229C22semidirect
108. #17989227C22semidirect
109. #17989227C22semidirect
110. #17989226C22semidirect
111. #17989226C22semidirect
112. #17989221C22semidirect
113. #17989221C22semidirect
114. D4×C22⋊D73C22semidirect
115. #17989219C22semidirect
116. #17989219C22semidirect
117. #17989217C22semidirect
118. #17989216C22semidirect
119. #17989208C22semidirect
120. #17989205C22semidirect
121. #17989205C22semidirect
122. #17989203C22semidirect
123. #17989203C22semidirect
124. #17989202C22semidirect
125. #17989201C22semidirect
126. #17989201C22semidirect
127. #17989189C22semidirect
128. #17989189C22semidirect
129. #17989188C22semidirect
130. #17989187C22semidirect
131. #17989187C22semidirect
132. #17989187C22semidirect
133. #17989187C22semidirect
134. #17989175C22semidirect
135. #17989173C22semidirect
136. #17989173C22semidirect
137. #17989170C22semidirect
138. #17989170C22semidirect
139. #17989169C22semidirect
140. #17989169C22semidirect
141. #17989168C22semidirect
142. #17989167C22semidirect
143. #17989167C22semidirect
144. #17989166C22semidirect
145. #17989166C22semidirect
146. #17989166C22semidirect
147. #17989165C22semidirect
148. #17989165C22semidirect
149. #17989164C22semidirect
150. #17989163C22semidirect
151. #17989162C22semidirect
152. #17989161C22semidirect
153. #17989160C22semidirect
154. #17989160C22semidirect
155. #17989160C22semidirect
156. #17989158C22semidirect
157. #17989157C22semidirect
158. #17989156C22semidirect
159. #17989155C22semidirect
160. #17989154C22semidirect
161. #17989153C22semidirect
162. #17989153C22semidirect
163. #17989153C22semidirect
164. #17989153C22semidirect
165. #17989152C22semidirect
166. #17989152C22semidirect
167. #17989151C22semidirect
168. #17989150C22semidirect
169. #17989150C22semidirect
170. #17989148C22semidirect
171. #17989148C22semidirect
172. #17989147C22semidirect
173. #17989147C22semidirect
174. #17989145C22semidirect
175. #17989145C22semidirect
176. #17989143C22semidirect
177. #17989141C22semidirect
178. #17989139C22semidirect
179. #17989138C22semidirect
180. #17989138C22semidirect
181. #17989137C22semidirect
184. #17989136C22semidirect
185. #17989136C22semidirect
186. #17989136C22semidirect
187. #17989136C22semidirect
188. #17989135C22semidirect
189. #17989135C22semidirect
190. #17989134C22semidirect
191. #17989134C22semidirect
192. #17989134C22semidirect
194. #17989133C22semidirect
195. #17989132C22semidirect
196. #17989132C22semidirect
197. #17989132C22semidirect
198. #17989132C22semidirect
199. #17989132C22semidirect
200. #17989132C22semidirect
201. C4⋊Q8×D73C22semidirect
203. #17989122C22semidirect
204. #17989122C22semidirect
205. #17989121C22semidirect
206. #17989120C22semidirect
207. #17989120C22semidirect
208. #17989120C22semidirect
209. #17989120C22semidirect
210. #17989118C22semidirect
211. #17989116C22semidirect
212. #17989115C22semidirect
213. #17989114C22semidirect
214. #17989114C22semidirect
215. #17989114C22semidirect
216. #124×D73C22semidirect
217. #124×D73C22semidirect
218. #17989100C22semidirect
219. #17989100C22semidirect
220. #17989100C22semidirect
221. #17989100C22semidirect
222. #17989100C22semidirect
223. #17989097C22semidirect
224. #17989097C22semidirect
225. #17989097C22semidirect
226. #17989097C22semidirect
227. #17989097C22semidirect
228. #17989096C22semidirect
229. #17989095C22semidirect
230. #17989095C22semidirect
231. #17989095C22semidirect
232. #17989095C22semidirect
233. #17989093C22semidirect
234. #17989093C22semidirect
235. #17989093C22semidirect
236. #121×D73C22semidirect
237. #121×D73C22semidirect
238. C4×#11924029C22semidirect
239. #17989055C22semidirect
240. #17989055C22semidirect
241. C4×#11924027C22semidirect
242. C4×#11924027C22semidirect
243. C4×#11924027C22semidirect
244. C2×#14556551C22semidirect
245. C4×D4×D73C22semidirect
246. C4×D4×D73C22semidirect
247. C4×D4×D73C22semidirect
248. C2×#14556549C22semidirect
249. #117×D73C22semidirect
250. #117×D73C22semidirect
251. C2×C42×D73C22semidirect
252. #563×C73C22semidirect
253. #560×C73C22semidirect
254. #555×C73C22semidirect
255. #553×C73C22semidirect
256. #552×C73C22semidirect
257. #551×C73C22semidirect
258. #548×C73C22semidirect
259. #546×C73C22semidirect
260. #540×C73C22semidirect
261. #538×C73C22semidirect
262. #537×C73C22semidirect
263. #536×C73C22semidirect
264. #535×C73C22semidirect
265. #532×C73C22semidirect
266. #529×C73C22semidirect
1259. #3551D73semidirect
1288. C73#62759semidirect
1298. #563C2×D73semidirect
1313. #560C2×D73semidirect
1325. #555C2×D73semidirect
1334. #553C2×D73semidirect
1340. #552C2×D73semidirect
1347. #551C2×D73semidirect
1358. #548C2×D73semidirect
1376. #546C2×D73semidirect
1399. #540C2×D73semidirect
1407. #538C2×D73semidirect
1417. #537C2×D73semidirect
1426. #536C2×D73semidirect
1439. #535C2×D73semidirect
1471. #532C2×D73semidirect
1487. #529C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243582
#226243532
#226243402
#226243342
#226243262
#226243192
#226243122
#226243022
#226242952
#226242842
#226242772
#226242702
#226242592
#226242462
#226242382
#226240722
#226240662
#226235562
#226235342
#226234902
#226234842
#226234202
#226234152
#226233502
#226233462
#226232632
#226232622
#226232592
#226232252
#532×D732
C73×#35512
#6275973