Finite Group Databasebeta

← #33994592

Subgroups — #33994592

Order 18688.

7220 conjugacy classes of subgroups.

The subgroup lattice has 2638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624039C212yesmaximal, complemented
2#22624026C211yesmaximal, characteristic, complemented
3#22624015C211yesmaximal, characteristic, complemented
4#22624006C212yesmaximal, complemented
5#22623996C214yesmaximal, complemented
6#22623983C211yesmaximal, characteristic, complemented
7#22623977C212yesmaximal, complemented
8#22623966C211yesmaximal, characteristic, complemented
9#22623960C212yesmaximal, complemented
10#22623947C211yesmaximal, characteristic, complemented
11#22623936C211yesmaximal, characteristic, complemented
12#22623923C212yesmaximal, complemented
13#22623912C211yesmaximal, characteristic, complemented
14#22623906C212yesmaximal, complemented
15#22623895C211yesmaximal, characteristic, complemented
16#22623889C212yesmaximal, complemented
17#22623878C212yesmaximal, complemented
18#22623868C214yesmaximal, complemented
19#22623529C212yesmaximal, complemented
20#22623524C211yesmaximal, characteristic, complemented
21#22623509C211yesmaximal, characteristic, complemented
22#22623487C214yesmaximal, complemented
23#22623487C212yesmaximal, complemented
24#22623485C212yesmaximal, complemented
25D4×#11924028C211yesmaximal, characteristic, complemented
26#22623414C212yesmaximal, complemented
27#22623319C212yesmaximal, complemented
28#22623314C214yesmaximal, complemented
29#22623228C211yesmaximal, characteristic, complemented
30#22623224C212yesmaximal, complemented
31C2×#17989119C211yesmaximal, characteristic, complemented
32#529×D73C212yesmaximal, complemented
33#22623132C212yesmaximal, complemented
34C4×#41×D73C211yesmaximal, characteristic, complemented
35C73×#3475C211yesmaximal, characteristic, complemented
36C22×#11924028C2212yes—
37C2×#41×D73C2211yescharacteristic
38#17989322C2211yescharacteristic, complemented
39#17989320C2212yescomplemented
40#17989320C2212yescomplemented
41#17989320C2214yescomplemented
42#17989317C2211yescharacteristic, complemented
43#17989315C2211yescharacteristic, complemented
44#17989314C2212yescomplemented
45#17989313C2212yescomplemented
46#17989312C2211yescharacteristic, complemented
47#17989309C2212yescomplemented
48#17989307C2211yescharacteristic, complemented
49#17989306C2212yescomplemented
50#17989306C2214yescomplemented
51#17989305C2212yescomplemented
52#17989305C2214yescomplemented
53#17989305C2212yescomplemented
54#17989301C2214yescomplemented
55#17989301C2212yescomplemented
56#17989300C2212yescomplemented
57#17989298C2211yescharacteristic, complemented
58#17989295C2212yescomplemented
59#17989293C2212yescomplemented
60#17989293C2212yescomplemented
61#17989293C2214yescomplemented
62#17989292C2212yescomplemented
63#17989291C2214yescomplemented
64#17989287C2214yescomplemented
65#17989287C2212yescomplemented
66#17989286C2214yescomplemented
67#17989285C2212yescomplemented
68#17989283C2212yescomplemented
69#17989282C2214yescomplemented
70#17989282C2214yescomplemented
71#17989282C2214yescomplemented
72#17989281C2214yescomplemented
73#17989281C2212yescomplemented
74#17989281C2212yescomplemented
75#17989276C2212yescomplemented
76#17989275C2214yescomplemented
77#17989275C2212yescomplemented
78#17989273C2214yescomplemented
79#17989273C2214yescomplemented
80#17989273C2214yescomplemented
81#17989272C2212yescomplemented
82#17989271C2212yescomplemented
83#17989271C2214yescomplemented
84#17989270C2214yescomplemented
85#17989265C2214yescomplemented
86#17989265C2214yescomplemented
87#17989265C2214yescomplemented
88#17989263C2214yescomplemented
89#17989262C2214yescomplemented
90#17989262C2214yescomplemented
91#17989262C2214yescomplemented
92#17989261C2214yescomplemented
93#17989258C2211yescharacteristic, complemented
94#17989258C2211yescharacteristic, complemented
95#17989256C2212yescomplemented
96#17989255C2212yescomplemented
97D4×Dic146C2211yescharacteristic, complemented
98#17989252C2211yescharacteristic, complemented
99#17989250C2212yescomplemented
100#17989250C2212yescomplemented
101#17989249C2212yescomplemented
102#17989247C2212yescomplemented
103#17989246C2212yescomplemented
104#17989246C2212yescomplemented
105#17989244C2212yescomplemented
106#17989243C2212yescomplemented
107#17989242C2211yescharacteristic, complemented
108#17989239C2212yescomplemented
109#17989239C2214yescomplemented
110#17989239C2212yescomplemented
111#17989238C2212yescomplemented
112#17989238C2212yescomplemented
113#17989235C2214yescomplemented
114#17989234C2212yescomplemented
115#17989234C2214yescomplemented
116#17989234C2212yescomplemented
117#17989233C2212yescomplemented
118#17989230C2214yescomplemented
119#17989230C2212yescomplemented
120#17989229C2214yescomplemented
121#17989228C2212yescomplemented
122#17989227C2214yescomplemented
123#17989227C2214yescomplemented
124#17989224C2214yescomplemented
125D4×D292C2211yescharacteristic, complemented
126#17989221C2212yescomplemented
127D4×C22⋊D73C2212yescomplemented
128#17989219C2214yescomplemented
129#17989210C2212yescomplemented
130#17989210C2212yescomplemented
131#17989207C2214yescomplemented
132#17989205C2214yescomplemented
133#17989204C2212yescomplemented
134#17989204C2212yescomplemented
135#17989203C2214yescomplemented
136#17989201C2214yescomplemented
137#17989197C2212yescomplemented
138#17989197C2212yescomplemented
139#17989196C2214yescomplemented
140#17989194C2214yescomplemented
141#17989190C2212yescomplemented
142#17989190C2212yescomplemented
143#17989189C2214yescomplemented
144#17989187C2214yescomplemented
145#17989185C2214yescomplemented
146#17989183C2214yescomplemented
147#17989181C2214yescomplemented
148#17989181C2214yescomplemented
149#17989180C2214yescomplemented
150#17989178C2214yescomplemented
151#17989176C2214yescomplemented
152#17989173C2214yescomplemented
153#17989172C2214yescomplemented
154#17989172C2214yescomplemented
155#17989171C2214yescomplemented
156#17989169C2214yescomplemented
157#17989142C2211yescharacteristic, complemented
158#17989142C2211yescharacteristic, complemented
159#17989141C2214yescomplemented
160#17989141C2212yescomplemented
161#17989141C2212yescomplemented
162#17989140C2212yescomplemented
163#17989140C2212yescomplemented
164#17989138C2211yescharacteristic, complemented
165#17989138C2211yescharacteristic, complemented
166#17989137C2211yescharacteristic, complemented
167#17989134C2212yescomplemented
168#17989134C2214yescomplemented
169#17989134C2212yescomplemented
170#17989133C2212yescomplemented
171#17989133C2212yescomplemented
172#17989124C2212yescomplemented
173#17989124C2212yescomplemented
174#17989124C2212yescomplemented
175#17989123C2212yescomplemented
176#17989123C2212yescomplemented
177#17989123C2212yescomplemented
178#17989122C2212yescomplemented
179#17989122C2212yescomplemented
180#17989122C2212yescomplemented
181#17989121C2212yescomplemented
182#17989121C2214yescomplemented
183#17989120C2214yescomplemented
184#17989119C2211yescharacteristic
185#17989119C2211yescharacteristic
186#17989119C2212yescomplemented
187#17989119C2211yescharacteristic, complemented
188#17989119C2211yescharacteristic, complemented
189#17989119C2214yescomplemented
190#17989119C2212yescomplemented
191#17989119C2214yescomplemented
192#17989119C2212yescomplemented
193#17989119C2212yescomplemented
194#17989119C2211yescharacteristic, complemented
195#17989119C2211yescharacteristic, complemented
196#17989119C2211yescharacteristic, complemented
197#17989119C2211yescharacteristic, complemented
198#17989119C2212yescomplemented
199#17989118C2212yescomplemented
200#17989117C2214yescomplemented
201#17989117C2214yescomplemented
202#17989117C2214yescomplemented
203#17989116C2212yes—
204#17989115C2214yescomplemented
205#17989115C2214yescomplemented
206#17989115C2214yescomplemented
207#17989115C2214yescomplemented
208#17989115C2214yescomplemented
209#17989114C2214yescomplemented
210C2×#14556584C2212yescomplemented
211#126×D73C2214yescomplemented
212C2×#14556582C2211yescharacteristic, complemented
213#125×D73C2212yescomplemented
214C2×#14556578C2211yescharacteristic, complemented
215#124×D73C2212yescomplemented
216#17989100C2212yescomplemented
217#17989100C2212yescomplemented
218#17989099C2212yescomplemented
219#17989099C2212yescomplemented
220#17989098C2212yescomplemented
221#17989096C2214yescomplemented
222#17989096C2214yescomplemented
223#17989096C2214yescomplemented
224#17989096C2214yescomplemented
225#17989094C2212yescomplemented
226C2×#14556573C2212yescomplemented
227#123×D73C2214yescomplemented
228C2×#14556571C2211yescharacteristic, complemented
229C22⋊Q8×D73C2212yescomplemented
230C2×#14556562C2211yescharacteristic
231#121×D73C2212yes—
232#17989068C2212yescomplemented
233#17989068C2212yescomplemented
234#17989068C2212yescomplemented
235#17989068C2212yescomplemented
236#17989067C2214yescomplemented
237#17989067C2214yescomplemented
238#17989064C2212yescomplemented
239#17989064C2212yescomplemented
240#17989061C2212yescomplemented
241#17989061C2212yescomplemented
242#17989060C2214yescomplemented
243#17989060C2214yescomplemented
244#41×Dic73C2211yescharacteristic, complemented
245C4×#11924029C2211yescharacteristic, complemented
246C4×#11924029C2212yescomplemented
247C4×#11924029C2211yescharacteristic, complemented
248C4×#11924029C2212yescomplemented
249C4×#11924028C2211yescharacteristic
250C4×#11924028C2212yescomplemented
251C4×#11924028C2212yescomplemented
252C4×#11924028C2214yescomplemented
253C4×#11924028C2214yescomplemented
254C4×#11924028C2214yescomplemented
255#17989055C2212yes—
256#17989055C2211yescharacteristic
257#17989055C2212yescomplemented
258#17989055C2212yescomplemented
259#17989055C2212yescomplemented
260C4×#11924027C2211yescharacteristic, complemented
261C4×#11924027C2212yescomplemented
262C4×#11924027C2211yescharacteristic, complemented
263C4×#11924027C2212yescomplemented
264C2×C4×Dic146C2211yescharacteristic, complemented
265C4×Q8×D73C2211yescharacteristic, complemented
266C4×Q8×D73C2212yescomplemented
267C4×Q8×D73C2211yescharacteristic, complemented
268C2×C4×C22⋊D73C2212yescomplemented
269C4×D4×D73C2212yescomplemented
270C4×D4×D73C2211yescharacteristic, complemented
271C4×D4×D73C2212yescomplemented
272C4×D4×D73C2211yescharacteristic, complemented
273C4×D4×D73C2214yescomplemented
274C4×D4×D73C2212yescomplemented
275C2×#14556550C2212yescomplemented
276#117×D73C2214yescomplemented
277#117×D73C2211yescharacteristic, complemented
278#117×D73C2212yescomplemented
279#117×D73C2214yescomplemented
280C2×C42×D73C2212yescomplemented
281C2×C42×D73C2211yescharacteristic, complemented
282#556×C73C2211yescharacteristic, complemented
283#555×C73C2211yescharacteristic, complemented
284#554×C73C2211yescharacteristic, complemented
285#553×C73C2212yescomplemented
286#552×C73C2212yescomplemented
287#552×C73C2212yescomplemented
288#551×C73C2214yescomplemented
289#547×C73C2211yescharacteristic, complemented
290#546×C73C2212yescomplemented
291#533×C73C2211yescharacteristic, complemented
292#529×C73C2214yescomplemented
293#529×C73C2212yescomplemented
294#525×C73C2212yescomplemented
295C4×#41×C73C2211yescharacteristic, complemented
296C4×#41×C73C2212yescomplemented
297C2×C4×D4×C73C2211yescharacteristic, complemented
298C2×#117×C73C2212yescomplemented
299C2×#11924029C2311yescharacteristic
300C2×#11924029C2312yes—
301C2×#11924029C2312yes—
302C2×#11924028—216no—
303C2×#11924028C2312yes—
304C2×#11924028C2312yes—
305C2×#11924028C2314yes—
306C2×#11924028C2314yes—
307C2×#11924028C2312yes—
308C2×#11924028C2312yes—
309C2×#11924028C2312yes—
310C2×#11924028C2314yes—
311C2×#11924028C2311yescharacteristic
312C2×#11924027C2312yes—
313C2×#11924027C2311yescharacteristic
314#41×D73—28no—
315C22×Dic146C2312yes—
316C22×Dic146C2311yescharacteristic
317C2×Q8×D73C2311yescharacteristic
318C2×Q8×D73C2312yes—
319C22×D292C2312yes—
320C22×C22⋊D73C2314yes—
321C22×C22⋊D73C2312yes—
322C2×D4×D73C2312yes—
323C2×D4×D73C2311yescharacteristic
324C2×D4×D73C2314yes—
325C2×D4×D73C2312yes—
326C22×C4×D73C2312yes—
327C22×C4×D73C2311yescharacteristic
328C22×C4×D73C2314yes—
329C22×C4×D73C2312yes—
330C22×C4×D73C2311yescharacteristic
331C22×C4×D73C2312yes—
332C22×C4×D73C2311yescharacteristic
333#14556591C2311yescharacteristic
334#14556590C2312yes—
335#14556590C2312yes—
336#14556590C2314yes—
337#14556590C2312yes—
338#14556590C2312yes—
339#14556590C2314yes—
340#14556589C2312yes—
341#14556589C2312yes—
342#14556589C2314yes—
343#14556588C2311yescharacteristic
344#14556587C2312yes—
345#14556587C2312yes—
346#14556587C2314yes—
347#14556586C2314yes—
348#14556586C2314yes—
349#14556586C2314yes—
350#14556586C2314yes—
351#14556586C2314yes—
352#14556586C2314yes—
353#14556586C2314yes—
354#14556585C2314yes—
355#14556585C2314yes—
356#14556585C2314yes—
357#14556584C2314yes—
358#14556584C2312yes—
359#14556584C2314yes—
360#14556584C2314yes—
361#14556584C2314yes—
362#14556584C2314yes—
363#14556584C2312yes—
364#14556584C2314yes—
365#14556584C2314yes—
366#14556584C2314yes—
367#14556584C2312yes—
368#14556584C2314yes—
369#14556584C2312yes—
370#14556584C2312yes—
371#14556584C2312yes—
372#14556584C2312yes—
373#14556584C2312yes—
374#14556583C2314yes—
375#14556583C2312yes—
376#14556582C2311yescharacteristic
377#14556582C2312yes—
378#14556582C2312yes—
379#14556582C2311yescharacteristic
380#14556582C2312yes—
381#14556582C2312yes—
382#14556582C2312yes—
383#14556582C2314yes—
384#14556582C2314yes—
385#14556582C2311yescharacteristic
386#14556582C2312yes—
387#14556582C2311yescharacteristic
388#14556581C2314yes—
389#14556581C2314yes—
390#14556581C2314yes—
391#14556581C2314yes—
392#14556581C2314yes—
393#14556581C2314yes—
394#14556581C2314yes—
395#14556581C2314yes—
396#14556580C2312yes—
397#14556580C2312yes—
398#14556580C2312yes—
399#14556579C2312yes—
400#14556579C2314yes—
401#14556579C2312yes—
402#14556578C2311yescharacteristic
403#14556578C2312yes—
404#14556578C2312yes—
405#14556578C2314yes—
406#14556578C2314yes—
407#14556578C2311yescharacteristic
408#14556578C2311yescharacteristic
409#14556578C2312yes—
410#14556578C2311yescharacteristic
411#14556577C2314yes—
412#14556577C2314yes—
413#14556577C2314yes—
414#14556577C2314yes—
415#14556577C2314yes—
416#14556577C2314yes—
417#14556577C2314yes—
418#14556577C2314yes—
419#14556576C2314yes—
420#14556576C2314yes—
421#14556576C2314yes—
422#14556576C2314yes—
423#14556576C2314yes—
424#14556576C2314yes—
425#14556576C2314yes—
426#14556576C2314yes—
427#14556575C2314yes—
428#14556575C2314yes—
429#14556575C2314yes—
430#14556574C2314yes—
431#14556574C2314yes—
432#14556574C2314yes—
433#14556574C2314yes—
434#14556573C2312yes—
435#14556573C2314yes—
436#14556573C2314yes—
437#14556573C2314yes—
438#14556573C2312yes—
439#14556573C2314yes—
440#14556573C2314yes—
441#14556573C2314yes—
442#14556573C2314yes—
443#14556573C2314yes—
444#14556573C2312yes—
445#14556573C2314yes—
446#14556573C2314yes—
447#14556573C2312yes—
448#14556573C2312yes—
449#14556573C2312yes—
450#14556573C2312yes—
451#14556573C2312yes—
452#14556572C2314yes—
453#14556572C2314yes—
454#14556571C2311yescharacteristic
455#14556571C2312yes—
456#14556571C2312yes—
457#14556571C2311yescharacteristic
458#14556571C2314yes—
459#14556571C2312yes—
460#14556571C2314yes—
461#14556571C2314yes—
462#14556571C2312yes—
463#14556571C2311yescharacteristic
464#14556571C2311yescharacteristic
465#14556571C2312yes—
466#14556570C2314yes—
467#14556570C2312yes—
468#14556570C2312yes—
469#14556570C2312yes—
470#14556569C2314yes—
471#14556569C2314yes—
472#14556569C2314yes—
473#14556569C2314yes—
474#14556569C2314yes—
475#14556569C2314yes—
476#14556569C2314yes—
477#14556569C2314yes—
478#14556569C2314yes—
479#14556568C2314yes—
480#14556568C2314yes—
481#14556568C2314yes—
482#14556568C2314yes—
483#14556568C2314yes—
484#14556568C2314yes—
485#14556568C2314yes—
486#14556567C2312yes—
487#14556567C2312yes—
488#14556567C2312yes—
489#14556567C2314yes—
490#14556566C2312yes—
491#14556566C2312yes—
492#14556566C2312yes—
493#14556566C2312yes—
494#14556566C2312yes—
495#14556566C2314yes—
496#14556565C2312yes—
497#14556565C2314yes—
498#14556565C2312yes—
499#14556565C2312yes—
500#14556565C2312yes—
501#14556565C2312yes—
502#14556564C2314yes—
503#14556564C2314yes—
504#14556564C2314yes—
505#14556564C2314yes—
506#14556564C2314yes—
507#14556564C2314yes—
508#14556564C2314yes—
509#14556564C2314yes—
510#14556564C2314yes—
511#14556563C2314yes—
512#14556563C2314yes—
513#14556563C2314yes—
514#14556563C2314yes—
515#14556563C2314yes—
516#14556563C2314yes—
517#14556563C2314yes—
518#14556562C2311yescharacteristic
519#14556562C2314yes—
520#14556562C2312yes—
521#14556562C2314yes—
522#14556562C2314yes—
523#14556562C2312yes—
524#14556562C2311yescharacteristic
525#14556562C2312yes—
526#14556562C2311yescharacteristic
527#14556562C2311yescharacteristic
528#14556561C2314yes—
529#14556561C2314yes—
530#14556561C2314yes—
531#14556561C2314yes—
532#14556560C2314yes—
533#14556559C2314yes—
534#14556559C2314yes—
535#14556559C2314yes—
536Q8×Dic73C2312yes—
537Q8×Dic73C2312yes—
538Q8×Dic73C2312yes—
539Q8×Dic73C2311yescharacteristic
540Q8×Dic73C2311yescharacteristic
541C4×Dic146C2311yescharacteristic
542C4×Dic146C2314yes—
543C4×Dic146C2314yes—
544C4×Dic146C2314yes—
545C4×Dic146C2314yes—
546C4×Dic146C2311yescharacteristic
547C4×Dic146C2312yes—
548C4×Dic146C2314yes—
549C4×Dic146C2312yes—
550C4×Dic146C2311yescharacteristic
551C4×Dic146C2311yescharacteristic
552C4×Dic146C2311yescharacteristic
553C4×Dic146C2311yescharacteristic
554C4×Dic146C2312yes—
555C4×Dic146C2314yes—
556C4×Dic146C2314yes—
557C4×Dic146C2312yes—
558C4×Dic146C2312yes—
559#14556556C2314yes—
560#14556556C2312yes—
561#14556556C2312yes—
562#14556556C2312yes—
563#14556556C2312yes—
564#14556556C2312yes—
565#14556556C2312yes—
566#14556556C2312yes—
567#14556556C2312yes—
568#14556556C2312yes—
569#14556556C2311yescharacteristic
570#14556556C2311yescharacteristic
571C4×D292C2312yes—
572C4×D292C2314yes—
573C4×D292C2312yes—
574C4×D292C2312yes—
575C4×D292C2314yes—
576C4×D292C2314yes—
577C4×D292C2314yes—
578C4×D292C2311yescharacteristic
579C4×D292C2312yes—
580C4×D292C2314yes—
581C4×D292C2314yes—
582C4×D292C2311yescharacteristic
583C4×D292C2314yes—
584C4×D292C2312yes—
585D4×Dic73C2312yes—
586D4×Dic73C2312yes—
587D4×Dic73C2311yescharacteristic
588D4×Dic73C2311yescharacteristic
589D4×Dic73C2312yes—
590D4×Dic73C2314yes—
591#14556553C2314yes—
592#14556553C2312yes—
593#14556553C2312yes—
594#14556553C2312yes—
595#14556553C2314yes—
596#14556553C2314yes—
597#14556553C2312yes—
598#14556553C2312yes—
599#14556553C2312yes—
600#14556553C2312yes—
601#14556553C2312yes—
602#14556553C2312yes—
603#14556553C2312yes—
604#14556553C2312yes—
605#14556553C2311yescharacteristic
606#14556553C2311yescharacteristic
607C4×C22⋊D73C2312yes—
608C4×C22⋊D73C2314yes—
609C4×C22⋊D73C2314yes—
610C4×C22⋊D73C2314yes—
611C4×C22⋊D73C2314yes—
612C4×C22⋊D73C2314yes—
613C4×C22⋊D73C2314yes—
614C4×C22⋊D73C2314yes—
615C4×C22⋊D73C2314yes—
616C4×C22⋊D73C2312yes—
617C4×C22⋊D73C2312yes—
618C4×C22⋊D73C2312yes—
619C4×C22⋊D73C2314yes—
620C4×C22⋊D73C2312yes—
621C4×C22⋊D73C2312yes—
622C4×C22⋊D73C2312yes—
623C4×C22⋊D73C2314yes—
624C4×C22⋊D73C2312yes—
625C4×C22⋊D73C2312yes—
626C4×C22⋊D73C2314yes—
627C4×C22⋊D73C2314yes—
628C4×C22⋊D73C2314yes—
629C4×C22⋊D73C2312yes—
630C4×C22⋊D73C2314yes—
631C4×C22⋊D73C2312yes—
632C4×C22⋊D73C2312yes—
633C4×C22⋊D73C2314yes—
634C4×C22⋊D73C2312yes—
635C4×C22⋊D73C2312yes—
636#14556551C2314yes—
637#14556551C2314yes—
638#14556551C2314yes—
639#14556551C2314yes—
640#14556551C2314yes—
641#14556551C2312yes—
642#14556551C2312yes—
643#14556551C2312yes—
644#14556551C2312yes—
645#14556551C2314yes—
646#14556551C2314yes—
647#14556551C2314yes—
648#14556551C2314yes—
649#14556551C2312yes—
650#14556551C2312yes—
651#14556550C2311yescharacteristic
652#14556550C2312yes—
653#14556550C2312yes—
654#14556550C2312yes—
655#14556550C2312yes—
656#14556550C2312yes—
657#14556550C2314yes—
658#14556550C2312yes—
659#14556550C2312yes—
660#14556550C2312yes—
661#14556550C2312yes—
662#14556550C2312yes—
663#14556549C2314yes—
664#14556549C2314yes—
665#14556549C2314yes—
666#14556549C2314yes—
667#14556549C2312yes—
668#14556549C2312yes—
669#14556549C2312yes—
670#14556549C2314yes—
671#14556549C2314yes—
672#14556549C2312yes—
673#14556549C2311yescharacteristic
674#14556549C2311yescharacteristic
675#14556548C2314yes—
676#14556548C2312yes—
677#14556548C2314yes—
678#14556548C2314yes—
679#14556548C2314yes—
680#14556548C2312yes—
681#14556548C2314yes—
682#14556548C2314yes—
683#14556548C2312yes—
684#14556547C2314yes—
685#14556547C2314yes—
686#14556547C2312yes—
687#14556547C2312yes—
688#14556547C2314yes—
689#14556547C2314yes—
690#14556547C2312yes—
691C2×C4⋊Dic73C2312yes—
692C2×C4⋊Dic73C2312yes—
693C2×C4⋊Dic73C2311yescharacteristic
694C2×#11924007C2312yes—
695C2×#11924007C2312yes—
696C4⋊C4×D73C2314yes—
697C4⋊C4×D73C2314yes—
698C4⋊C4×D73C2314yes—
699C4⋊C4×D73C2311yescharacteristic
700C4⋊C4×D73C2312yes—
701C4⋊C4×D73C2312yes—
702C4⋊C4×D73C2314yes—
703C4⋊C4×D73C2314yes—
704C4⋊C4×D73C2311yescharacteristic
705C4⋊C4×D73C2314yes—
706C4⋊C4×D73C2312yes—
707C4⋊C4×D73C2312yes—
708C2×C22⋊Dic73C2312yes—
709C2×C22⋊Dic73C2312yes—
710C2×C22⋊Dic73C2312yes—
711C2×#11924005C2312yes—
712C22⋊C4×D73C2314yes—
713C22⋊C4×D73C2314yes—
714C22⋊C4×D73C2314yes—
715C22⋊C4×D73C2312yes—
716C22⋊C4×D73C2314yes—
717C22⋊C4×D73C2314yes—
718C22⋊C4×D73C2312yes—
719C22⋊C4×D73C2314yes—
720C22⋊C4×D73C2314yes—
721C22⋊C4×D73C2312yes—
722C2×C4×Dic73C2311yescharacteristic
723C2×C4×Dic73C2311yescharacteristic
724C2×C4×Dic73C2312yes—
725C2×C4×Dic73C2312yes—
726C2×C4×Dic73C2311yescharacteristic
727C2×C4×Dic73C2312yes—
728C2×C4×Dic73C2312yes—
729C42×D73C2312yes—
730C42×D73C2311yescharacteristic
731C42×D73C2311yescharacteristic
732C42×D73C2312yes—
733C42×D73C2311yescharacteristic
734C42×D73C2311yescharacteristic
735C42×D73C2312yes—
736C42×D73C2312yes—
737C42×D73C2314yes—
738C42×D73C2311yescharacteristic
739C42×D73C2311yescharacteristic
740C42×D73C2312yes—
741C42×D73C2312yes—
742C42×D73C2311yescharacteristic
743C42×D73C2312yes—
744C42×D73C2311yescharacteristic
745C42×D73C2314yes—
746C42×D73C2314yes—
747C2×#41×C73C2311yescharacteristic
748C2×#41×C73C2312yes—
749C22×D4×C73C2311yescharacteristic
750C23×C4×C73C2312yes—
751C4⋊Q8×C73C2311yescharacteristic
752C4⋊Q8×C73C2311yescharacteristic
753#126×C73C2314yes—
754#126×C73C2314yes—
755#126×C73C2314yes—
756#125×C73C2312yes—
757#125×C73C2312yes—
758#125×C73C2314yes—
759#124×C73C2314yes—
760#124×C73C2312yes—
761#123×C73C2314yes—
762#123×C73C2314yes—
763#123×C73C2314yes—
764#123×C73C2314yes—
765C22⋊Q8×C73C2312yes—
766C22⋊Q8×C73C2312yes—
767C22⋊Q8×C73C2312yes—
768C22⋊Q8×C73C2314yes—
769C22⋊Q8×C73C2312yes—
770C22⋊Q8×C73C2312yes—
771#121×C73C2314yes—
772#121×C73C2312yes—
773#121×C73C2312yes—
774#121×C73C2312yes—
775#120×C73C2314yes—
776C4×Q8×C73C2312yes—
777C4×Q8×C73C2312yes—
778C4×Q8×C73C2312yes—
779C4×Q8×C73C2311yescharacteristic
780C4×Q8×C73C2311yescharacteristic
781C4×D4×C73C2311yescharacteristic
782C4×D4×C73C2314yes—
783C4×D4×C73C2312yes—
784C4×D4×C73C2311yescharacteristic
785C4×D4×C73C2312yes—
786C4×D4×C73C2311yescharacteristic
787C4×D4×C73C2312yes—
788C4×D4×C73C2311yescharacteristic
789C4×D4×C73C2312yes—
790C4×D4×C73C2311yescharacteristic
791C4×D4×C73C2312yes—
792C4×D4×C73C2314yes—
793C4×D4×C73C2311yescharacteristic
794C4×D4×C73C2314yes—
795#117×C73C2312yes—
796#117×C73C2312yes—
797#117×C73C2311yescharacteristic
798#117×C73C2314yes—
799#117×C73C2314yes—
800#117×C73C2312yes—
801#117×C73C2312yes—
802#117×C73C2312yes—
803#117×C73C2314yes—
804C2×C4⋊C4×C73C2311yescharacteristic
805C2×C4⋊C4×C73C2312yes—
806C2×C4⋊C4×C73C2312yes—
807C2×C22⋊C4×C73C2312yes—
808C2×C22⋊C4×C73C2314yes—
809C2×C42×C73C2314yes—
810C2×C42×C73C2312yes—
811C2×C42×C73C2311yescharacteristic
812C23×D73C2412yes—
813C23×D73C2411yescharacteristic
814C23×D73C2414yes—
815#11924029—24no—
816#11924029—44no—
817#11924029—44no—
818#11924028—28no—
819#11924028—216no—
820#11924028—28no—
821#11924028—28no—
822#11924028—216no—
823#11924028—28no—
824#11924028—44no—
825#11924028—48no—
826#11924028#4118yescomplemented
827#11924027—28no—
828#11924027—24no—
829C2×Dic146—28no—
830C2×Dic146—42no—
831C2×Dic146C2412yes—
832C2×Dic146C2412yes—
833C2×Dic146C2411yescharacteristic
834C2×Dic146C2414yes—
835C2×Dic146C2411yescharacteristic
836C2×Dic146C2414yes—
837C2×Dic146C2414yes—
838C2×Dic146C2412yes—
839C2×Dic146C2411yescharacteristic
840Q8×D73—24no—
841Q8×D73—44no—
842C2×D292—28no—
843C2×D292C2412yes—
844C2×D292C2412yes—
845C2×D292C2414yes—
846C2×D292C2412yes—
847C2×D292C2414yes—
848C2×D292C2412yes—
849C2×D292C2414yes—
850C2×D292C2411yescharacteristic
851C2×C22⋊D73—216no—
852C2×C22⋊D73—44no—
853C2×C22⋊D73C2414yes—
854C2×C22⋊D73C2412yes—
855C2×C22⋊D73C2412yes—
856C2×C22⋊D73C2412yes—
857C2×C22⋊D73C2414yes—
858C2×C22⋊D73C2412yes—
859C2×C22⋊D73C2414yes—
860C2×C22⋊D73C2414yes—
861C2×C22⋊D73C2414yes—
862C2×C22⋊D73C2414yes—
863C2×C22⋊D73C2414yes—
864C2×C22⋊D73C2412yes—
865C2×C22⋊D73C2412yes—
866C2×C22⋊D73C2412yes—
867D4×D73—28no—
868D4×D73—24no—
869D4×D73—44no—
870D4×D73—48no—
871C22×Dic73C2411yescharacteristic
872C22×Dic73C2412yes—
873C22×Dic73C2414yes—
874C22×Dic73C2411yescharacteristic
875C22×Dic73C2411yescharacteristic
876C22×Dic73C2412yes—
877C22×Dic73C2412yes—
878C22×Dic73C2412yes—
879C22×Dic73C2412yes—
880C2×C4×D73—24no—
881C2×C4×D73—28no—
882C2×C4×D73—216no—
883C2×C4×D73—44no—
884C2×C4×D73—42no—
885C2×C4×D73—44no—
886C2×C4×D73—42no—
887C2×C4×D73C2411yescharacteristic
888C2×C4×D73C2411yescharacteristic
889C2×C4×D73C2411yescharacteristic
890C2×C4×D73C2412yes—
891C2×C4×D73C2411yescharacteristic
892C2×C4×D73C2412yes—
893C2×C4×D73C2412yes—
894C2×C4×D73C2411yescharacteristic
895C2×C4×D73C2412yes—
896C2×C4×D73C2411yescharacteristic
897C2×C4×D73C2414yes—
898C2×C4×D73C2411yescharacteristic
899C2×C4×D73C2411yescharacteristic
900C2×C4×D73C2414yes—
901C2×C4×D73C2414yes—
902C2×C4×D73C2412yes—
903C2×C4×D73C2412yes—
904C2×C4×D73C2412yes—
905C2×C4×D73C2412yes—
906C2×C4×D73C2411yescharacteristic
907C2×C4×D73C2411yescharacteristic
908C2×C4×D73C2411yescharacteristic
909C2×C4×D73C2411yescharacteristic
910C2×C4×D73C2414yes—
911C2×C4×D73C2414yes—
912C2×C4×D73C2414yes—
913C2×C4×D73C2414yes—
914C2×C4×D73C2414yes—
915C2×C4×D73C2414yes—
916C2×C4×D73C2412yes—
917C4⋊Dic73C2412yes—
918C4⋊Dic73C2412yes—
919C4⋊Dic73C2412yes—
920C4⋊Dic73C2412yes—
921C4⋊Dic73C2411yescharacteristic
922C4⋊Dic73C2412yes—
923C4⋊Dic73C2411yescharacteristic
924C4⋊Dic73C2411yescharacteristic
925C4⋊Dic73C2414yes—
926C4⋊Dic73C2412yes—
927C4⋊Dic73C2412yes—
928C4⋊Dic73C2414yes—
929C4⋊Dic73C2411yescharacteristic
930C4⋊Dic73C2412yes—
931C4⋊Dic73C2412yes—
932C4⋊Dic73C2412yes—
933C4⋊Dic73C2412yes—
934C4⋊Dic73C2412yes—
935C4⋊Dic73C2414yes—
936C4⋊Dic73C2412yes—
937C4⋊Dic73C2414yes—
938#11924007C2412yes—
939#11924007C2412yes—
940#11924007C2412yes—
941#11924007C2412yes—
942#11924007C2412yes—
943#11924007C2414yes—
944#11924007C2414yes—
945#11924007C2412yes—
946#11924007C2414yes—
947#11924007C2414yes—
948#11924007C2414yes—
949#11924007C2412yes—
950#11924007C2412yes—
951#11924007C2414yes—
952#11924007C2414yes—
953#11924007C2414yes—
954#11924007C2414yes—
955#11924007C2414yes—
956#11924007C2412yes—
957#11924007C2412yes—
958#11924007C2412yes—
959#11924007C2412yes—
960#11924007C2412yes—
961#11924007C2412yes—
962#11924007C2414yes—
963#11924007C2414yes—
964#11924007C2414yes—
965#11924007C2414yes—
966C22⋊Dic73C2412yes—
967C22⋊Dic73C2412yes—
968C22⋊Dic73C2412yes—
969C22⋊Dic73C2412yes—
970C22⋊Dic73C2412yes—
971C22⋊Dic73C2412yes—
972C22⋊Dic73C2412yes—
973C22⋊Dic73C2412yes—
974C22⋊Dic73C2414yes—
975C22⋊Dic73C2414yes—
976C22⋊Dic73C2412yes—
977C22⋊Dic73C2412yes—
978C22⋊Dic73C2412yes—
979C22⋊Dic73C2412yes—
980C22⋊Dic73C2412yes—
981C22⋊Dic73C2412yes—
982C22⋊Dic73C2412yes—
983C22⋊Dic73C2414yes—
984C22⋊Dic73C2414yes—
985#11924005C2412yes—
986#11924005C2412yes—
987#11924005C2412yes—
988#11924005C2412yes—
989#11924005C2414yes—
990#11924005C2414yes—
991#11924005C2414yes—
992#11924005C2412yes—
993#11924005C2414yes—
994#11924005C2414yes—
995#11924005C2414yes—
996#11924005C2414yes—
997#11924005C2412yes—
998#11924005C2414yes—
999#11924005C2412yes—
1000#11924005C2414yes—
1001#11924005C2414yes—
1002#11924005C2414yes—
1003#11924005C2412yes—
1004#11924005C2412yes—
1005#11924005C2412yes—
1006#11924005C2414yes—
1007#11924005C2414yes—
1008#11924005C2414yes—
1009#11924005C2414yes—
1010#11924005C2414yes—
1011C4×Dic73C2411yescharacteristic
1012C4×Dic73C2411yescharacteristic
1013C4×Dic73C2411yescharacteristic
1014C4×Dic73C2411yescharacteristic
1015C4×Dic73C2412yes—
1016C4×Dic73C2411yescharacteristic
1017C4×Dic73C2412yes—
1018C4×Dic73C2412yes—
1019C4×Dic73C2412yes—
1020C4×Dic73C2411yescharacteristic
1021C4×Dic73C2412yes—
1022C4×Dic73C2412yes—
1023C4×Dic73C2412yes—
1024C4×Dic73C2411yescharacteristic
1025C4×Dic73C2411yescharacteristic
1026C4×Dic73C2411yescharacteristic
1027C4×Dic73C2412yes—
1028C4×Dic73C2411yescharacteristic
1029C4×Dic73C2411yescharacteristic
1030C4×Dic73C2411yescharacteristic
1031C4×Dic73C2412yes—
1032C4×Dic73C2412yes—
1033C4×Dic73C2412yes—
1034C4×Dic73C2414yes—
1035C4×Dic73C2414yes—
1036C4×Dic73C2414yes—
1037C4×Dic73C2414yes—
1038C4×Dic73C2414yes—
1039C4×Dic73C2414yes—
1040C4×Dic73C2412yes—
1041C4×Dic73C2412yes—
1042C24×C73C2412yes—
1043#41×C73—24no—
1044#41×C73—44no—
1045C2×Q8×C73C2411yescharacteristic
1046C2×Q8×C73C2412yes—
1047C2×Q8×C73C2412yes—
1048C2×D4×C73—42no—
1049C2×D4×C73C2411yescharacteristic
1050C2×D4×C73C2412yes—
1051C2×D4×C73C2411yescharacteristic
1052C2×D4×C73C2411yescharacteristic
1053C2×D4×C73C2414yes—
1054C2×D4×C73C2412yes—
1055C2×D4×C73C2414yes—
1056C22×C4×C73—28no—
1057C22×C4×C73C2412yes—
1058C22×C4×C73C2411yescharacteristic
1059C22×C4×C73C2412yes—
1060C22×C4×C73C2412yes—
1061C22×C4×C73C2412yes—
1062C22×C4×C73C2412yes—
1063C22×C4×C73C2412yes—
1064C22×C4×C73C2412yes—
1065C22×C4×C73C2411yescharacteristic
1066C22×C4×C73C2414yes—
1067C22×C4×C73C2414yes—
1068C22×C4×C73C2412yes—
1069C22×C4×C73C2411yescharacteristic
1070C4⋊C4×C73C2411yescharacteristic
1071C4⋊C4×C73C2411yescharacteristic
1072C4⋊C4×C73C2411yescharacteristic
1073C4⋊C4×C73C2412yes—
1074C4⋊C4×C73C2412yes—
1075C4⋊C4×C73C2414yes—
1076C4⋊C4×C73C2414yes—
1077C4⋊C4×C73C2411yescharacteristic
1078C4⋊C4×C73C2412yes—
1079C4⋊C4×C73C2412yes—
1080C4⋊C4×C73C2412yes—
1081C4⋊C4×C73C2414yes—
1082C4⋊C4×C73C2414yes—
1083C4⋊C4×C73C2412yes—
1084C4⋊C4×C73C2414yes—
1085C4⋊C4×C73C2414yes—
1086C4⋊C4×C73C2412yes—
1087C22⋊C4×C73C2412yes—
1088C22⋊C4×C73C2412yes—
1089C22⋊C4×C73C2414yes—
1090C22⋊C4×C73C2414yes—
1091C22⋊C4×C73C2414yes—
1092C22⋊C4×C73C2412yes—
1093C22⋊C4×C73C2412yes—
1094C22⋊C4×C73C2412yes—
1095C22⋊C4×C73C2414yes—
1096C22⋊C4×C73C2412yes—
1097C22⋊C4×C73C2414yes—
1098C22⋊C4×C73C2412yes—
1099C22⋊C4×C73C2414yes—
1100C22⋊C4×C73C2414yes—
1101C42×C73C2412yes—
1102C42×C73C2411yescharacteristic
1103C42×C73C2414yes—
1104C42×C73C2411yescharacteristic
1105C42×C73C2414yes—
1106C42×C73C2412yes—
1107C42×C73C2414yes—
1108C42×C73C2411yescharacteristic
1109C42×C73C2411yescharacteristic
1110C42×C73C2412yes—
1111C23×C73—24no—
1112C23×C73—42no—
1113C23×C73—42no—
1114C23×C73C2512yes—
1115C23×C73C2512yes—
1116C23×C73C2512yes—
1117C23×C73C2511yescharacteristic
1118C22×D73—22no—
1119C22×D73—24no—
1120C22×D73—24no—
1121C22×D73—22no—
1122C22×D73—28no—
1123C22×D73—42no—
1124C22×D73—41no—
1125C22×D73—44no—
1126C22×D73—44no—
1127C22×D73C2511yescharacteristic
1128C22×D73C2514yes—
1129C22×D73C2512yes—
1130C22×D73C2511yescharacteristic
1131Q8×C73—22no—
1132Q8×C73—24no—
1133Q8×C73—42no—
1134D4×C73—24no—
1135D4×C73—22no—
1136D4×C73—22no—
1137D4×C73—22no—
1138D4×C73—42no—
1139D4×C73—44no—
1140D4×C73—44no—
1141C2×C4×C73—24no—
1142C2×C4×C73—24no—
1143C2×C4×C73—24no—
1144C2×C4×C73—24no—
1145C2×C4×C73—24no—
1146C2×C4×C73—24no—
1147C2×C4×C73—22no—
1148C2×C4×C73—24no—
1149C2×C4×C73—44no—
1150C2×C4×C73—42no—
1151C2×C4×C73—41no—
1152C2×C4×C73—44no—
1153C2×C4×C73C2×#4114yes—
1154C2×C4×C73C2512yes—
1155C2×C4×C73C2511yescharacteristic
1156C2×C4×C73C2512yes—
1157C2×C4×C73C2512yes—
1158C2×C4×C73C2511yescharacteristic
1159C2×C4×C73C2512yes—
1160C2×C4×C73C2514yes—
1161C2×C4×C73C2514yes—
1162C2×C4×C73C2511yescharacteristic
1163C2×C4×C73C2512yes—
1164C2×C4×C73C2511yescharacteristic
1165C2×C4×C73C2511yescharacteristic
1166C2×C4×C73C2511yescharacteristic
1167C22⋊D73—28no—
1168C22⋊D73—24no—
1169C22⋊D73—28no—
1170C22⋊D73—24no—
1171C22⋊D73—24no—
1172C22⋊D73—24no—
1173C22⋊D73—28no—
1174C22⋊D73—44no—
1175C22⋊D73—44no—
1176C22⋊D73—42no—
1177C22⋊D73—42no—
1178C22⋊D73—44no—
1179C22⋊D73—44no—
1180C22⋊D73C2×#4118yes—
1181C2×Dic73—22no—
1182C2×Dic73—28no—
1183C2×Dic73—24no—
1184C2×Dic73—42no—
1185C2×Dic73—42no—
1186C2×Dic73—41no—
1187C2×Dic73—41no—
1188C2×Dic73—42no—
1189C2×Dic73—42no—
1190C2×Dic73C2511yescharacteristic
1191C2×Dic73C2511yescharacteristic
1192C2×Dic73C2511yescharacteristic
1193C2×Dic73C2511yescharacteristic
1194C2×Dic73C2511yescharacteristic
1195C2×Dic73C2512yes—
1196C2×Dic73C2511yescharacteristic
1197C2×Dic73C2514yes—
1198C2×Dic73C2512yes—
1199C2×Dic73C2512yes—
1200C2×Dic73C2512yes—
1201C2×Dic73C2512yes—
1202C2×Dic73C2512yes—
1203C2×Dic73C2512yes—
1204D292—24no—
1205D292—28no—
1206D292—28no—
1207D292—24no—
1208D292—24no—
1209D292—44no—
1210D292—42no—
1211D292C2×#4114yes—
1212C4×D73—24no—
1213C4×D73—28no—
1214C4×D73—22no—
1215C4×D73—24no—
1216C4×D73—22no—
1217C4×D73—22no—
1218C4×D73—22no—
1219C4×D73—22no—
1220C4×D73—22no—
1221C4×D73—28no—
1222C4×D73—22no—
1223C4×D73—24no—
1224C4×D73—22no—
1225C4×D73—24no—
1226C4×D73—28no—
1227C4×D73—42no—
1228C4×D73—42no—
1229C4×D73—41no—
1230C4×D73—41no—
1231C4×D73—41no—
1232C4×D73—42no—
1233C4×D73—41no—
1234C4×D73—42no—
1235C4×D73—44no—
1236C4×D73—44no—
1237C4×D73—44no—
1238C4×D73—44no—
1239C4×D73—44no—
1240C4×D73—44no—
1241C4×D73C2×#4118yes—
1242Dic146—24no—
1243Dic146—22no—
1244Dic146—22no—
1245Dic146—24no—
1246Dic146—28no—
1247Dic146—44no—
1248Dic146—42no—
1249Dic146—44no—
1250Dic146C2×#4114yes—
1251C22×C73—21no—
1252C22×C73—21no—
1253C22×C73—22no—
1254C22×C73—22no—
1255C22×C73—22no—
1256C22×C73—22no—
1257C22×C73—22no—
1258C22×C73—22no—
1259C22×C73—22no—
1260C22×C73—22no—
1261C22×C73—22no—
1262C22×C73—84no—
1263C22×C73C22×#4112yes—
1264C22×C73C2611yescharacteristic
1265C2×D73—21no—
1266C2×D73—21no—
1267C2×D73—22no—
1268C2×D73—22no—
1269C2×D73—21no—
1270C2×D73—24no—
1271C2×D73—21no—
1272C2×D73—24no—
1273C2×D73—24no—
1274C2×D73—21no—
1275C2×D73—48no—
1276C2×D73—44no—
1277C2×D73—88no—
1278C2×D73C22×#4114yes—
1279C2×D73#58512yes—
1280C4×C73—22no—
1281C4×C73—22no—
1282C4×C73—22no—
1283C4×C73—21no—
1284C4×C73—24no—
1285C4×C73—24no—
1286C4×C73—21no—
1287C4×C73—22no—
1288C4×C73—21no—
1289C4×C73—22no—
1290C4×C73C22×#4112yes—
1291C4×C73C22×#4112yes—
1292C4×C73#58512yes—
1293Dic73—24no—
1294Dic73—21no—
1295Dic73—21no—
1296Dic73—22no—
1297Dic73—22no—
1298Dic73—22no—
1299Dic73—22no—
1300Dic73—22no—
1301Dic73—21no—
1302Dic73—21no—
1303Dic73—21no—
1304Dic73—21no—
1305Dic73—22no—
1306Dic73C22×#4114yes—
1307#62816—731nomaximal, Sylow
1308C2×C73—22no—
1309C2×C73—42no—
1310C2×C73—42no—
1311C2×C73—42no—
1312C2×C73C23×#4111yescharacteristic
1313C2×C73C2×#58511yescharacteristic
1314C2×C73C2×#58511yescharacteristic
1315D73—22no—
1316D73—24no—
1317D73—41no—
1318D73—44no—
1319#3524—732no—
1320#3523—731no—
1321#3522—731no—
1322#3521—732no—
1323#3521—734no—
1324#3520—732no—
1325#3520—731no—
1326#3519—731no—
1327#3519—732no—
1328#3518—731no—
1329#3517—731no—
1330#3516—732no—
1331#3515—731no—
1332#3515—732no—
1333#3514—731no—
1334#3514—732no—
1335#3513—732no—
1336#3513—734no—
1337#3480—731no—
1338#3480—732no—
1339Q8×#41—731no—
1340#3475—734no—
1341#3475—732no—
1342#3475—732no—
1343#3475D7311yescharacteristic, complemented
1344D4×#41—732no—
1345D4×#41—731no—
1346#3455—734no—
1347#3455—732no—
1348#3444—731no—
1349#3444—732no—
1350C2×#529—732no—
1351C2×#529—731no—
1352#3428—732no—
1353C2×C4×#41—731no—
1354C73#6281611yescharacteristic, complemented, Sylow
1355C22×#41—731no—
1356C22×#41—732no—
1357#559—731no—
1358#559—734no—
1359#559—732no—
1360#559—732no—
1361Q82—731no—
1362#557—731no—
1363#557—732no—
1364#557—732no—
1365#557—731no—
1366#556—732no—
1367#556—734no—
1368#556—732no—
1369#556—731no—
1370#556—732no—
1371#556—734no—
1372#556—732no—
1373#556C2×D7311yescharacteristic, complemented
1374#555—734no—
1375#555—732no—
1376#555—732no—
1377#555C2×D7311yescharacteristic, complemented
1378#554—731no—
1379#554—732no—
1380#554—734no—
1381#554—732no—
1382#554—734no—
1383#554—732no—
1384#554—732no—
1385#554C2×D7311yescharacteristic, complemented
1386#553—734no—
1387#553—734no—
1388#553—734no—
1389#553—732no—
1390#553—734no—
1391#553—734no—
1392#553—732no—
1393#553—732no—
1394#553—734no—
1395#553—732no—
1396#553—732no—
1397#553C2×D7312yescomplemented
1398#552—734no—
1399#552—734no—
1400#552—734no—
1401#552—732no—
1402#552—734no—
1403#552—732no—
1404#552—734no—
1405#552—734no—
1406#552—732no—
1407#552—732no—
1408#552C2×D7312yescomplemented
1409#552C2×D7312yescomplemented
1410#551—734no—
1411#551—734no—
1412#551—734no—
1413#551—734no—
1414#551—734no—
1415#551—734no—
1416#551—734no—
1417#551—734no—
1418#551C2×D7314yescomplemented
1419#550—732no—
1420#550—732no—
1421#550—731no—
1422#550—731no—
1423D4×Q8—731no—
1424D4×Q8—732no—
1425D4×Q8—732no—
1426D4×Q8—731no—
1427#548—732no—
1428#548—732no—
1429#548—732no—
1430#548—732no—
1431#548—732no—
1432#548—732no—
1433#547—734no—
1434#547—732no—
1435#547—734no—
1436#547—732no—
1437#547—731no—
1438#547—732no—
1439#547—732no—
1440#547C2×D7311yescharacteristic, complemented
1441#546—734no—
1442#546—732no—
1443#546—734no—
1444#546—732no—
1445#546—732no—
1446#546—734no—
1447#546—732no—
1448#546—734no—
1449#546—732no—
1450#546—734no—
1451#546—734no—
1452#546C2×D7312yescomplemented
1453D42—732no—
1454D42—732no—
1455D42—734no—
1456D42—731no—
1457#542—734no—
1458#542—734no—
1459#542—734no—
1460#542—734no—
1461#542—732no—
1462#542—732no—
1463#542—732no—
1464#542—732no—
1465#541—734no—
1466#541—734no—
1467#541—732no—
1468#541—732no—
1469#540—734no—
1470#540—734no—
1471#540—732no—
1472#540—732no—
1473#539—734no—
1474#539—734no—
1475#539—734no—
1476#539—734no—
1477#539—734no—
1478#539—734no—
1479#538—734no—
1480#538—734no—
1481#538—734no—
1482#538—734no—
1483#538—734no—
1484#538—734no—
1485#533—731no—
1486#533—731no—
1487#533—732no—
1488#533—732no—
1489#533—734no—
1490#533—732no—
1491#533—732no—
1492#533C2×D7311yescharacteristic, complemented
1493#532—732no—
1494#532—732no—
1495#532—731no—
1496#532—731no—
1497#532—732no—
1498#532—732no—
1499#532—734no—
1500#532—731no—
1501#529—734no—
1502#529—732no—
1503#529—732no—
1504#529—732no—
1505#529—732no—
1506#529—734no—
1507#529—732no—
1508#529—732no—
1509#529—732no—
1510#529—732no—
1511#529—732no—
1512#529—732no—
1513#529—732no—
1514#529—731no—
1515#529—731no—
1516#529—734no—
1517#529—732no—
1518#529—732no—
1519#529—731no—
1520#529—731no—
1521#529—732no—
1522#529—731no—
1523#529—731no—
1524#529—731no—
1525#529—731no—
1526#529—732no—
1527#529—734no—
1528#529—732no—
1529#529—734no—
1530#529—734no—
1531#529—734no—
1532#529—734no—
1533#529—734no—
1534#529—734no—
1535#529—734no—
1536#529—734no—
1537#529—732no—
1538#529—734no—
1539#529C2×D7312yescomplemented
1540#529C2×D7314yescomplemented
1541C2×#126—734no—
1542C2×#126—732no—
1543C2×#125—732no—
1544C2×#125—731no—
1545C2×#124—731no—
1546C2×#124—732no—
1547#525—732no—
1548#525—732no—
1549#525—732no—
1550#525—732no—
1551#525—734no—
1552#525—734no—
1553#525—734no—
1554#525—734no—
1555#525—732no—
1556#525—732no—
1557#525C2×D7312yescomplemented
1558C2×#123—734no—
1559C2×#123—732no—
1560C2×C22⋊Q8—732no—
1561C2×C22⋊Q8—731no—
1562C2×#121—731no—
1563C2×#121—732no—
1564#520—734no—
1565#520—734no—
1566#520—732no—
1567#520—732no—
1568#520—732no—
1569#520—732no—
1570#519—732no—
1571#519—732no—
1572#518—732no—
1573#518—732no—
1574#518—734no—
1575#518—734no—
1576C4×#41—731no—
1577C4×#41—731no—
1578C4×#41—731no—
1579C4×#41—732no—
1580C4×#41—732no—
1581C4×#41—732no—
1582C4×#41—731no—
1583C4×#41—732no—
1584C4×#41—731no—
1585C4×#41—731no—
1586C4×#41—732no—
1587C4×#41—732no—
1588C4×#41—732no—
1589C4×#41—732no—
1590C4×#41—731no—
1591C4×#41—732no—
1592C4×#41—734no—
1593C4×#41—734no—
1594C4×#41—734no—
1595C4×#41—732no—
1596C4×#41C2×D7311yescharacteristic, complemented
1597C4×#41C2×D7312yescomplemented
1598C2×C4×Q8—731no—
1599C2×C4×Q8—731no—
1600C2×C4×Q8—732no—
1601C2×C4×Q8—731no—
1602C2×C4×D4—732no—
1603C2×C4×D4—732no—
1604C2×C4×D4—731no—
1605C2×C4×D4—732no—
1606C2×C4×D4—731no—
1607C2×C4×D4—734no—
1608C2×C4×D4—732no—
1609C2×C4×D4C2×D7311yescharacteristic, complemented
1610C2×#117—732no—
1611C2×#117—731no—
1612C2×#117—732no—
1613C2×#117—734no—
1614C2×#117—734no—
1615C2×#117C2×D7312yescomplemented
1616C22×C42—731no—
1617C22×C42—732no—
1618C2×#41—732no—
1619C2×#41—732no—
1620C2×#41—731no—
1621C2×#41—732no—
1622C2×#41—731no—
1623C2×#41—734no—
1624C2×#41—732no—
1625C2×#41—731no—
1626C2×#41—732no—
1627C2×#41—734no—
1628C2×#41—732no—
1629C2×#41—732no—
1630C2×#41—734no—
1631C2×#41—732no—
1632C2×#41—14616no—
1633C2×#41—1468no—
1634C2×#41C22×D7311yescharacteristic
1635C2×#41C22×D7312yes—
1636C22×Q8—732no—
1637C22×Q8—731no—
1638C22×Q8—731no—
1639C22×Q8—732no—
1640C22×D4—732no—
1641C22×D4—734no—
1642C22×D4—732no—
1643C22×D4—734no—
1644C22×D4—732no—
1645C22×D4—731no—
1646C22×D4—732no—
1647C22×D4C22×D7311yescharacteristic
1648C23×C4—731no—
1649C23×C4—732no—
1650C23×C4—731no—
1651C23×C4—732no—
1652C23×C4—734no—
1653C23×C4—732no—
1654C23×C4—731no—
1655C23×C4C22×D7312yes—
1656C4⋊Q8—732no—
1657C4⋊Q8—732no—
1658C4⋊Q8—734no—
1659C4⋊Q8—732no—
1660C4⋊Q8—732no—
1661C4⋊Q8—734no—
1662C4⋊Q8—732no—
1663C4⋊Q8—734no—
1664C4⋊Q8—732no—
1665C4⋊Q8—731no—
1666C4⋊Q8C22×D7311yescharacteristic
1667C4⋊Q8C22×D7311yescharacteristic
1668#127—732no—
1669#127—732no—
1670#127—734no—
1671#127—731no—
1672#126—734no—
1673#126—734no—
1674#126—734no—
1675#126—734no—
1676#126—734no—
1677#126—734no—
1678#126—734no—
1679#126—732no—
1680#126—732no—
1681#126—734no—
1682#126—732no—
1683#126—732no—
1684#126—732no—
1685#126—732no—
1686#126—734no—
1687#126—732no—
1688#126—732no—
1689#126—734no—
1690#126—734no—
1691#126—734no—
1692#126—734no—
1693#126—734no—
1694#126—734no—
1695#126—734no—
1696#126—734no—
1697#126—734no—
1698#126—734no—
1699#126C22×D7314yes—
1700#126C22×D7314yes—
1701#126C22×D7314yes—
1702#125—731no—
1703#125—732no—
1704#125—731no—
1705#125—734no—
1706#125—732no—
1707#125—734no—
1708#125—732no—
1709#125—731no—
1710#125—731no—
1711#125—734no—
1712#125—732no—
1713#125—734no—
1714#125—734no—
1715#125—734no—
1716#125—734no—
1717#125—734no—
1718#125—734no—
1719#125—734no—
1720#125—732no—
1721#125—732no—
1722#125—732no—
1723#125—734no—
1724#125C22×D7312yes—
1725#125C22×D7312yes—
1726#125C22×D7314yes—
1727#124—732no—
1728#124—732no—
1729#124—732no—
1730#124—731no—
1731#124—731no—
1732#124—732no—
1733#124—731no—
1734#124—731no—
1735#124—732no—
1736#124—734no—
1737#124—734no—
1738#124—732no—
1739#124—734no—
1740#124—734no—
1741#124—734no—
1742#124—734no—
1743#124—734no—
1744#124—734no—
1745#124—734no—
1746#124—734no—
1747#124—732no—
1748#124—732no—
1749#124—734no—
1750#124C22×D7312yes—
1751#124C22×D7314yes—
1752#123—734no—
1753#123—734no—
1754#123—734no—
1755#123—734no—
1756#123—734no—
1757#123—734no—
1758#123—734no—
1759#123—734no—
1760#123—734no—
1761#123—734no—
1762#123—734no—
1763#123—734no—
1764#123—734no—
1765#123—734no—
1766#123—732no—
1767#123—732no—
1768#123—732no—
1769#123—732no—
1770#123—734no—
1771#123—732no—
1772#123—734no—
1773#123—732no—
1774#123—732no—
1775#123—732no—
1776#123—734no—
1777#123—734no—
1778#123—734no—
1779#123—734no—
1780#123—734no—
1781#123—734no—
1782#123—734no—
1783#123—734no—
1784#123—734no—
1785#123—734no—
1786#123—734no—
1787#123C22×D7314yes—
1788#123C22×D7314yes—
1789#123C22×D7314yes—
1790#123C22×D7314yes—
1791C22⋊Q8—732no—
1792C22⋊Q8—732no—
1793C22⋊Q8—732no—
1794C22⋊Q8—734no—
1795C22⋊Q8—732no—
1796C22⋊Q8—732no—
1797C22⋊Q8—732no—
1798C22⋊Q8—734no—
1799C22⋊Q8—731no—
1800C22⋊Q8—731no—
1801C22⋊Q8—732no—
1802C22⋊Q8—731no—
1803C22⋊Q8—731no—
1804C22⋊Q8—734no—
1805C22⋊Q8—732no—
1806C22⋊Q8—734no—
1807C22⋊Q8—732no—
1808C22⋊Q8—732no—
1809C22⋊Q8—732no—
1810C22⋊Q8—734no—
1811C22⋊Q8—734no—
1812C22⋊Q8—734no—
1813C22⋊Q8—734no—
1814C22⋊Q8—734no—
1815C22⋊Q8—734no—
1816C22⋊Q8—734no—
1817C22⋊Q8—734no—
1818C22⋊Q8—734no—
1819C22⋊Q8—734no—
1820C22⋊Q8—734no—
1821C22⋊Q8—734no—
1822C22⋊Q8—734no—
1823C22⋊Q8—734no—
1824C22⋊Q8—734no—
1825C22⋊Q8—734no—
1826C22⋊Q8—734no—
1827C22⋊Q8C22×D7312yes—
1828C22⋊Q8C22×D7312yes—
1829C22⋊Q8C22×D7312yes—
1830C22⋊Q8C22×D7312yes—
1831C22⋊Q8C22×D7312yes—
1832C22⋊Q8C22×D7314yes—
1833#121—731no—
1834#121—731no—
1835#121—732no—
1836#121—734no—
1837#121—732no—
1838#121—731no—
1839#121—731no—
1840#121—734no—
1841#121—732no—
1842#121—734no—
1843#121—734no—
1844#121—734no—
1845#121—734no—
1846#121—734no—
1847#121—734no—
1848#121—734no—
1849#121—734no—
1850#121—732no—
1851#121—732no—
1852#121—732no—
1853#121—732no—
1854#121—732no—
1855#121—734no—
1856#121—732no—
1857#121—732no—
1858#121—732no—
1859#121—732no—
1860#121—732no—
1861#121—734no—
1862#121—734no—
1863#121—734no—
1864#121—734no—
1865#121—734no—
1866#121—734no—
1867#121—734no—
1868#121—734no—
1869#121—734no—
1870#121—734no—
1871#121C22×D7312yes—
1872#121C22×D7312yes—
1873#121C22×D7312yes—
1874#121C22×D7314yes—
1875#120—734no—
1876#120—734no—
1877#120—734no—
1878#120—734no—
1879#120—734no—
1880#120—734no—
1881#120—734no—
1882#120—734no—
1883#120C22×D7314yes—
1884C4×Q8—731no—
1885C4×Q8—731no—
1886C4×Q8—732no—
1887C4×Q8—732no—
1888C4×Q8—732no—
1889C4×Q8—731no—
1890C4×Q8—731no—
1891C4×Q8—732no—
1892C4×Q8—732no—
1893C4×Q8—732no—
1894C4×Q8—734no—
1895C4×Q8—732no—
1896C4×Q8—732no—
1897C4×Q8—732no—
1898C4×Q8—732no—
1899C4×Q8—732no—
1900C4×Q8—732no—
1901C4×Q8—731no—
1902C4×Q8—731no—
1903C4×Q8—731no—
1904C4×Q8—731no—
1905C4×Q8—732no—
1906C4×Q8—732no—
1907C4×Q8—734no—
1908C4×Q8—732no—
1909C4×Q8—731no—
1910C4×Q8—731no—
1911C4×Q8—732no—
1912C4×Q8—734no—
1913C4×Q8—734no—
1914C4×Q8—734no—
1915C4×Q8—734no—
1916C4×Q8—734no—
1917C4×Q8—732no—
1918C4×Q8—734no—
1919C4×Q8C22×D7312yes—
1920C4×Q8C22×D7311yescharacteristic
1921C4×Q8C22×D7311yescharacteristic
1922C4×Q8C22×D7312yes—
1923C4×Q8C22×D7312yes—
1924C4×D4—732no—
1925C4×D4—732no—
1926C4×D4—731no—
1927C4×D4—731no—
1928C4×D4—732no—
1929C4×D4—734no—
1930C4×D4—732no—
1931C4×D4—732no—
1932C4×D4—732no—
1933C4×D4—732no—
1934C4×D4—732no—
1935C4×D4—732no—
1936C4×D4—732no—
1937C4×D4—732no—
1938C4×D4—732no—
1939C4×D4—734no—
1940C4×D4—734no—
1941C4×D4—732no—
1942C4×D4—732no—
1943C4×D4—732no—
1944C4×D4—732no—
1945C4×D4—732no—
1946C4×D4—734no—
1947C4×D4—734no—
1948C4×D4—734no—
1949C4×D4—734no—
1950C4×D4—734no—
1951C4×D4—734no—
1952C4×D4—734no—
1953C4×D4—734no—
1954C4×D4—734no—
1955C4×D4—734no—
1956C4×D4—734no—
1957C4×D4—734no—
1958C4×D4—734no—
1959C4×D4—731no—
1960C4×D4—731no—
1961C4×D4—732no—
1962C4×D4—732no—
1963C4×D4—734no—
1964C4×D4—732no—
1965C4×D4—732no—
1966C4×D4—732no—
1967C4×D4—732no—
1968C4×D4—732no—
1969C4×D4—732no—
1970C4×D4—732no—
1971C4×D4—734no—
1972C4×D4—734no—
1973C4×D4—732no—
1974C4×D4—732no—
1975C4×D4—732no—
1976C4×D4—732no—
1977C4×D4—732no—
1978C4×D4—732no—
1979C4×D4—732no—
1980C4×D4—732no—
1981C4×D4—734no—
1982C4×D4—734no—
1983C4×D4—734no—
1984C4×D4—734no—
1985C4×D4—734no—
1986C4×D4—734no—
1987C4×D4—734no—
1988C4×D4—734no—
1989C4×D4—734no—
1990C4×D4—734no—
1991C4×D4—732no—
1992C4×D4—731no—
1993C4×D4—731no—
1994C4×D4—732no—
1995C4×D4—732no—
1996C4×D4—734no—
1997C4×D4—734no—
1998C4×D4—734no—
1999C4×D4—734no—
2000C4×D4—732no—
2001C4×D4—734no—
2002C4×D4—734no—
2003C4×D4—732no—
2004C4×D4C22×D7311yescharacteristic
2005C4×D4C22×D7312yes—
2006C4×D4C22×D7311yescharacteristic
2007C4×D4C22×D7312yes—
2008C4×D4C22×D7311yescharacteristic
2009C4×D4C22×D7314yes—
2010C4×D4C22×D7311yescharacteristic
2011C4×D4C22×D7312yes—
2012C4×D4C22×D7311yescharacteristic
2013C4×D4C22×D7312yes—
2014C4×D4C22×D7311yescharacteristic
2015C4×D4C22×D7314yes—
2016C4×D4C22×D7314yes—
2017C4×D4C22×D7312yes—
2018#117—732no—
2019#117—732no—
2020#117—731no—
2021#117—732no—
2022#117—732no—
2023#117—732no—
2024#117—732no—
2025#117—732no—
2026#117—732no—
2027#117—732no—
2028#117—732no—
2029#117—734no—
2030#117—732no—
2031#117—732no—
2032#117—731no—
2033#117—731no—
2034#117—734no—
2035#117—734no—
2036#117—734no—
2037#117—734no—
2038#117—732no—
2039#117—732no—
2040#117—734no—
2041#117—734no—
2042#117—732no—
2043#117—732no—
2044#117—732no—
2045#117—734no—
2046#117—734no—
2047#117—734no—
2048#117—734no—
2049#117—732no—
2050#117—732no—
2051#117—734no—
2052#117—734no—
2053#117—734no—
2054#117—732no—
2055#117—734no—
2056#117—734no—
2057#117—734no—
2058#117C22×D7314yes—
2059#117C22×D7311yescharacteristic
2060#117C22×D7312yes—
2061#117C22×D7312yes—
2062#117C22×D7312yes—
2063#117C22×D7312yes—
2064#117C22×D7314yes—
2065#117C22×D7312yes—
2066#117C22×D7314yes—
2067C2×C4⋊C4—732no—
2068C2×C4⋊C4—732no—
2069C2×C4⋊C4—732no—
2070C2×C4⋊C4—731no—
2071C2×C4⋊C4—732no—
2072C2×C4⋊C4—732no—
2073C2×C4⋊C4—731no—
2074C2×C4⋊C4—732no—
2075C2×C4⋊C4—731no—
2076C2×C4⋊C4—734no—
2077C2×C4⋊C4—734no—
2078C2×C4⋊C4—734no—
2079C2×C4⋊C4—734no—
2080C2×C4⋊C4—732no—
2081C2×C4⋊C4—734no—
2082C2×C4⋊C4—732no—
2083C2×C4⋊C4—734no—
2084C2×C4⋊C4C22×D7312yes—
2085C2×C4⋊C4C22×D7312yes—
2086C2×C4⋊C4C22×D7311yescharacteristic
2087C2×C22⋊C4—732no—
2088C2×C22⋊C4—732no—
2089C2×C22⋊C4—732no—
2090C2×C22⋊C4—732no—
2091C2×C22⋊C4—732no—
2092C2×C22⋊C4—732no—
2093C2×C22⋊C4—732no—
2094C2×C22⋊C4—734no—
2095C2×C22⋊C4—734no—
2096C2×C22⋊C4—734no—
2097C2×C22⋊C4—734no—
2098C2×C22⋊C4—734no—
2099C2×C22⋊C4—734no—
2100C2×C22⋊C4—734no—
2101C2×C22⋊C4C22×D7314yes—
2102C2×C22⋊C4C22×D7312yes—
2103C2×C42—731no—
2104C2×C42—732no—
2105C2×C42—731no—
2106C2×C42—731no—
2107C2×C42—732no—
2108C2×C42—732no—
2109C2×C42—732no—
2110C2×C42—732no—
2111C2×C42—731no—
2112C2×C42—732no—
2113C2×C42—734no—
2114C2×C42—734no—
2115C2×C42—734no—
2116C2×C42—732no—
2117C2×C42—731no—
2118C2×C42—732no—
2119C2×C42—731no—
2120C2×C42—732no—
2121C2×C42—731no—
2122C2×C42—732no—
2123C2×C42—732no—
2124C2×C42—731no—
2125C2×C42—731no—
2126C2×C42—731no—
2127C2×C42—731no—
2128C2×C42C22×D7314yes—
2129C2×C42C22×D7311yescharacteristic
2130C2×C42C22×D7312yes—
2131C24—734no—
2132C24—732no—
2133C24—731no—
2134C24C23×D7312yes—
2135#41—24no—
2136#41—44no—
2137#41—2924no—
2138#41—2928no—
2139#41—2924no—
2140#41—2924no—
2141#41—738no—
2142#41—14616no—
2143#41—1468no—
2144#41—14616no—
2145#41—1468no—
2146#41—1468no—
2147#41—1468no—
2148#41—1464no—
2149#41—1464no—
2150#41—1468no—
2151C2×Q8—2922no—
2152C2×Q8—2924no—
2153C2×Q8—732no—
2154C2×Q8—734no—
2155C2×Q8—734no—
2156C2×Q8—731no—
2157C2×Q8—731no—
2158C2×Q8—732no—
2159C2×Q8—734no—
2160C2×Q8—732no—
2161C2×Q8—731no—
2162C2×Q8—1468no—
2163C2×Q8—1464no—
2164C2×Q8C23×D7312yes—
2165C2×Q8C23×D7311yescharacteristic
2166C2×Q8C23×D7312yes—
2167C2×D4—42no—
2168C2×D4—2928no—
2169C2×D4—2924no—
2170C2×D4—2924no—
2171C2×D4—734no—
2172C2×D4—732no—
2173C2×D4—734no—
2174C2×D4—734no—
2175C2×D4—732no—
2176C2×D4—734no—
2177C2×D4—732no—
2178C2×D4—732no—
2179C2×D4—734no—
2180C2×D4—732no—
2181C2×D4—734no—
2182C2×D4—732no—
2183C2×D4—734no—
2184C2×D4—732no—
2185C2×D4—734no—
2186C2×D4—732no—
2187C2×D4—731no—
2188C2×D4—734no—
2189C2×D4—732no—
2190C2×D4—734no—
2191C2×D4—732no—
2192C2×D4—732no—
2193C2×D4—1468no—
2194C2×D4—1468no—
2195C2×D4—1464no—
2196C2×D4—14616no—
2197C2×D4C23×D7312yes—
2198C2×D4C23×D7311yescharacteristic
2199C2×D4C23×D7311yescharacteristic
2200C2×D4C23×D7311yescharacteristic
2201C2×D4C23×D7314yes—
2202C2×D4C23×D7312yes—
2203C2×D4C23×D7314yes—
2204C22×C4—28no—
2205C22×C4—2922no—
2206C22×C4—2924no—
2207C22×C4—2924no—
2208C22×C4—2922no—
2209C22×C4—731no—
2210C22×C4—731no—
2211C22×C4—732no—
2212C22×C4—732no—
2213C22×C4—732no—
2214C22×C4—732no—
2215C22×C4—732no—
2216C22×C4—732no—
2217C22×C4—731no—
2218C22×C4—732no—
2219C22×C4—732no—
2220C22×C4—731no—
2221C22×C4—731no—
2222C22×C4—731no—
2223C22×C4—734no—
2224C22×C4—734no—
2225C22×C4—734no—
2226C22×C4—734no—
2227C22×C4—734no—
2228C22×C4—734no—
2229C22×C4—732no—
2230C22×C4—731no—
2231C22×C4—732no—
2232C22×C4—734no—
2233C22×C4—731no—
2234C22×C4—731no—
2235C22×C4—731no—
2236C22×C4—732no—
2237C22×C4—732no—
2238C22×C4—732no—
2239C22×C4—731no—
2240C22×C4—732no—
2241C22×C4—731no—
2242C22×C4—731no—
2243C22×C4—734no—
2244C22×C4—734no—
2245C22×C4—731no—
2246C22×C4—734no—
2247C22×C4—731no—
2248C22×C4—14616no—
2249C22×C4—1468no—
2250C22×C4—1464no—
2251C22×C4C23×D7311yescharacteristic
2252C22×C4C23×D7312yes—
2253C22×C4C23×D7312yes—
2254C22×C4C23×D7312yes—
2255C22×C4C23×D7312yes—
2256C22×C4C23×D7312yes—
2257C22×C4C23×D7312yes—
2258C22×C4C23×D7312yes—
2259C22×C4C23×D7311yescharacteristic
2260C22×C4C23×D7312yes—
2261C22×C4C23×D7314yes—
2262C22×C4C23×D7314yes—
2263C22×C4C23×D7311yescharacteristic
2264C4⋊C4—732no—
2265C4⋊C4—732no—
2266C4⋊C4—732no—
2267C4⋊C4—732no—
2268C4⋊C4—732no—
2269C4⋊C4—734no—
2270C4⋊C4—734no—
2271C4⋊C4—732no—
2272C4⋊C4—734no—
2273C4⋊C4—734no—
2274C4⋊C4—734no—
2275C4⋊C4—732no—
2276C4⋊C4—732no—
2277C4⋊C4—732no—
2278C4⋊C4—732no—
2279C4⋊C4—734no—
2280C4⋊C4—734no—
2281C4⋊C4—732no—
2282C4⋊C4—734no—
2283C4⋊C4—732no—
2284C4⋊C4—734no—
2285C4⋊C4—732no—
2286C4⋊C4—734no—
2287C4⋊C4—732no—
2288C4⋊C4—734no—
2289C4⋊C4—734no—
2290C4⋊C4—734no—
2291C4⋊C4—734no—
2292C4⋊C4—732no—
2293C4⋊C4—732no—
2294C4⋊C4—732no—
2295C4⋊C4—732no—
2296C4⋊C4—731no—
2297C4⋊C4—731no—
2298C4⋊C4—731no—
2299C4⋊C4—732no—
2300C4⋊C4—731no—
2301C4⋊C4—732no—
2302C4⋊C4—734no—
2303C4⋊C4—732no—
2304C4⋊C4—732no—
2305C4⋊C4—732no—
2306C4⋊C4—732no—
2307C4⋊C4—732no—
2308C4⋊C4—732no—
2309C4⋊C4—734no—
2310C4⋊C4—734no—
2311C4⋊C4—734no—
2312C4⋊C4—732no—
2313C4⋊C4C23×D7314yes—
2314C4⋊C4C23×D7314yes—
2315C4⋊C4C23×D7311yescharacteristic
2316C4⋊C4C23×D7311yescharacteristic
2317C4⋊C4C23×D7311yescharacteristic
2318C4⋊C4C23×D7312yes—
2319C4⋊C4C23×D7312yes—
2320C4⋊C4C23×D7314yes—
2321C4⋊C4C23×D7312yes—
2322C4⋊C4C23×D7314yes—
2323C4⋊C4C23×D7312yes—
2324C4⋊C4C23×D7312yes—
2325C4⋊C4C23×D7311yescharacteristic
2326C4⋊C4C23×D7312yes—
2327C4⋊C4C23×D7312yes—
2328C4⋊C4C23×D7314yes—
2329C4⋊C4C23×D7314yes—
2330C22⋊C4—732no—
2331C22⋊C4—732no—
2332C22⋊C4—732no—
2333C22⋊C4—732no—
2334C22⋊C4—732no—
2335C22⋊C4—732no—
2336C22⋊C4—732no—
2337C22⋊C4—732no—
2338C22⋊C4—732no—
2339C22⋊C4—732no—
2340C22⋊C4—732no—
2341C22⋊C4—732no—
2342C22⋊C4—732no—
2343C22⋊C4—734no—
2344C22⋊C4—732no—
2345C22⋊C4—732no—
2346C22⋊C4—734no—
2347C22⋊C4—734no—
2348C22⋊C4—734no—
2349C22⋊C4—732no—
2350C22⋊C4—732no—
2351C22⋊C4—732no—
2352C22⋊C4—732no—
2353C22⋊C4—734no—
2354C22⋊C4—734no—
2355C22⋊C4—734no—
2356C22⋊C4—732no—
2357C22⋊C4—732no—
2358C22⋊C4—734no—
2359C22⋊C4—734no—
2360C22⋊C4—734no—
2361C22⋊C4—734no—
2362C22⋊C4—732no—
2363C22⋊C4—734no—
2364C22⋊C4—732no—
2365C22⋊C4—734no—
2366C22⋊C4—734no—
2367C22⋊C4—732no—
2368C22⋊C4—734no—
2369C22⋊C4—732no—
2370C22⋊C4—734no—
2371C22⋊C4—734no—
2372C22⋊C4—734no—
2373C22⋊C4—734no—
2374C22⋊C4—734no—
2375C22⋊C4C23×D7314yes—
2376C22⋊C4C23×D7314yes—
2377C22⋊C4C23×D7312yes—
2378C22⋊C4C23×D7312yes—
2379C22⋊C4C23×D7312yes—
2380C22⋊C4C23×D7312yes—
2381C22⋊C4C23×D7314yes—
2382C22⋊C4C23×D7314yes—
2383C22⋊C4C23×D7314yes—
2384C22⋊C4C23×D7312yes—
2385C22⋊C4C23×D7312yes—
2386C22⋊C4C23×D7312yes—
2387C22⋊C4C23×D7314yes—
2388C22⋊C4C23×D7314yes—
2389C42—731no—
2390C42—731no—
2391C42—731no—
2392C42—732no—
2393C42—732no—
2394C42—732no—
2395C42—731no—
2396C42—731no—
2397C42—731no—
2398C42—732no—
2399C42—731no—
2400C42—732no—
2401C42—731no—
2402C42—732no—
2403C42—731no—
2404C42—732no—
2405C42—732no—
2406C42—731no—
2407C42—734no—
2408C42—734no—
2409C42—734no—
2410C42—734no—
2411C42—734no—
2412C42—732no—
2413C42—734no—
2414C42—732no—
2415C42—731no—
2416C42—731no—
2417C42—732no—
2418C42—732no—
2419C42—732no—
2420C42C23×D7312yes—
2421C42C23×D7312yes—
2422C42C23×D7311yescharacteristic
2423C42C23×D7311yescharacteristic
2424C42C23×D7314yes—
2425C42C23×D7314yes—
2426C42C23×D7312yes—
2427C42C23×D7311yescharacteristic
2428C42C23×D7311yescharacteristic
2429C42C23×D7314yes—
2430C23—24no—
2431C23—42no—
2432C23—42no—
2433C23—2921no—
2434C23—2922no—
2435C23—2924no—
2436C23—2924no—
2437C23—732no—
2438C23—731no—
2439C23—731no—
2440C23—734no—
2441C23—1462no—
2442C23—1464no—
2443C23—1464no—
2444C23—1468no—
2445C23—1462no—
2446C23C24×D7312yes—
2447C23C24×D7312yes—
2448C23C24×D7312yes—
2449C23C24×D7311yescharacteristic
2450Q8—22no—
2451Q8—24no—
2452Q8—42no—
2453Q8—2922no—
2454Q8—2924no—
2455Q8—2924no—
2456Q8—734no—
2457Q8—1468no—
2458Q8—1464no—
2459Q8—1464no—
2460Q8—1462no—
2461Q8—1462no—
2462D4—24no—
2463D4—22no—
2464D4—22no—
2465D4—22no—
2466D4—42no—
2467D4—44no—
2468D4—44no—
2469D4—2922no—
2470D4—2924no—
2471D4—2922no—
2472D4—2924no—
2473D4—2922no—
2474D4—2924no—
2475D4—2924no—
2476D4—2924no—
2477D4—738no—
2478D4—734no—
2479D4—1468no—
2480D4—1468no—
2481D4—1464no—
2482D4—1468no—
2483D4—1464no—
2484D4—1464no—
2485D4—1464no—
2486D4—1468no—
2487D4—1464no—
2488D4—1468no—
2489D4—1464no—
2490D4—1464no—
2491C2×C4—24no—
2492C2×C4—24no—
2493C2×C4—24no—
2494C2×C4—24no—
2495C2×C4—24no—
2496C2×C4—24no—
2497C2×C4—22no—
2498C2×C4—24no—
2499C2×C4—42no—
2500C2×C4—41no—
2501C2×C4—44no—
2502C2×C4—44no—
2503C2×C4—2921no—
2504C2×C4—2922no—
2505C2×C4—2922no—
2506C2×C4—2921no—
2507C2×C4—2922no—
2508C2×C4—2922no—
2509C2×C4—2921no—
2510C2×C4—2921no—
2511C2×C4—2924no—
2512C2×C4—2924no—
2513C2×C4—2924no—
2514C2×C4—2924no—
2515C2×C4—2924no—
2516C2×C4—2924no—
2517C2×C4—2921no—
2518C2×C4—2922no—
2519C2×C4—2921no—
2520C2×C4—2922no—
2521C2×C4—2922no—
2522C2×C4—2922no—
2523C2×C4—732no—
2524C2×C4—738no—
2525C2×C4—731no—
2526C2×C4—731no—
2527C2×C4—731no—
2528C2×C4—731no—
2529C2×C4—731no—
2530C2×C4—732no—
2531C2×C4—731no—
2532C2×C4—734no—
2533C2×C4—732no—
2534C2×C4—732no—
2535C2×C4—732no—
2536C2×C4—732no—
2537C2×C4—732no—
2538C2×C4—1464no—
2539C2×C4—1468no—
2540C2×C4—1462no—
2541C2×C4—1464no—
2542C2×C4—1462no—
2543C2×C4—1468no—
2544C2×C4—1464no—
2545C2×C4—1468no—
2546C2×C4—1464no—
2547C2×C4—1462no—
2548C2×C4—1462no—
2549C2×C4—1462no—
2550C2×C4—1462no—
2551C2×C4—1468no—
2552C2×C4—1462no—
2553C2×C4—1462no—
2554C2×C4—1464no—
2555C2×C4—1462no—
2556C2×C4#41×D7314yes—
2557C2×C4C24×D7311yescharacteristic
2558C2×C4C24×D7312yes—
2559C2×C4C24×D7312yes—
2560C2×C4C24×D7311yescharacteristic
2561C2×C4C24×D7312yes—
2562C2×C4C24×D7314yes—
2563C2×C4C24×D7314yes—
2564C2×C4C24×D7311yescharacteristic
2565C2×C4C24×D7312yes—
2566C2×C4C24×D7312yes—
2567C2×C4C24×D7311yescharacteristic
2568C2×C4C24×D7311yescharacteristic
2569C2×C4C24×D7311yescharacteristic
2570C22—21no—
2571C22—21no—
2572C22—22no—
2573C22—22no—
2574C22—22no—
2575C22—22no—
2576C22—22no—
2577C22—22no—
2578C22—22no—
2579C22—22no—
2580C22—22no—
2581C22—84no—
2582C22—2924no—
2583C22—2928no—
2584C22—5848no—
2585C22—734no—
2586C22—732no—
2587C22—1461no—
2588C22—1464no—
2589C22—1461no—
2590C22—1464no—
2591C22—1464no—
2592C22—1461no—
2593C22—1461no—
2594C22—1462no—
2595C22—1461no—
2596C22—1462no—
2597C22C2×#41×D7312yes—
2598C22C25×D7311yescharacteristic
2599C4—22no—
2600C4—22no—
2601C4—22no—
2602C4—21no—
2603C4—22no—
2604C4—24no—
2605C4—21no—
2606C4—22no—
2607C4—21no—
2608C4—24no—
2609C4—734no—
2610C4—1461no—
2611C4—1464no—
2612C4—1461no—
2613C4—1461no—
2614C4—1461no—
2615C4—1462no—
2616C4—1462no—
2617C4—1462no—
2618C4—1461no—
2619C4—1461no—
2620C4—1462no—
2621C4—1462no—
2622C4—1462no—
2623C4C2×#41×D7312yes—
2624C4C2×#41×D7312yes—
2625C4#1798942312yes—
2626C2—22no—
2627C2—42no—
2628C2—42no—
2629C2—42no—
2630C2—2921no—
2631C2—2924no—
2632C2—1462no—
2633C2—1464no—
2634C2C22×#41×D7311yescharacteristic
2635C2#585×D7311yescharacteristic
2636C2C2×#1798942311yescharacteristic
subgroupG/H
centerC2×C4C24×D73
commutator, socle, cosocleC22×C73C26
FrattiniC22C25×D73
FittingC73×#3475C2
hypercenter#3475D73
hypocenterC73#62816
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. #22624039C2semidirect
2. #22624026C2semidirect
3. #22624015C2semidirect
4. #22624006C2semidirect
5. #22623996C2semidirect
6. #22623983C2semidirect
7. #22623977C2semidirect
8. #22623966C2semidirect
9. #22623960C2semidirect
10. #22623947C2semidirect
11. #22623936C2semidirect
12. #22623923C2semidirect
13. #22623912C2semidirect
14. #22623906C2semidirect
15. #22623895C2semidirect
16. #22623889C2semidirect
17. #22623878C2semidirect
18. #22623868C2semidirect
19. #22623529C2semidirect
20. #22623524C2semidirect
21. #22623509C2semidirect
22. #22623487C2semidirect
23. #22623487C2semidirect
24. #22623485C2semidirect
25. D4×#11924028C2semidirect
26. #22623414C2semidirect
27. #22623319C2semidirect
28. #22623314C2semidirect
29. #22623228C2semidirect
30. #22623224C2semidirect
31. C2×#17989119C2semidirect
32. #529×D73C2semidirect
33. #22623132C2semidirect
34. C4×#41×D73C2semidirect
35. C73×#3475C2semidirect
38. #17989322C22semidirect
39. #17989320C22semidirect
40. #17989320C22semidirect
41. #17989320C22semidirect
42. #17989317C22semidirect
43. #17989315C22semidirect
44. #17989314C22semidirect
45. #17989313C22semidirect
46. #17989312C22semidirect
47. #17989309C22semidirect
48. #17989307C22semidirect
49. #17989306C22semidirect
50. #17989306C22semidirect
51. #17989305C22semidirect
52. #17989305C22semidirect
53. #17989305C22semidirect
54. #17989301C22semidirect
55. #17989301C22semidirect
56. #17989300C22semidirect
57. #17989298C22semidirect
58. #17989295C22semidirect
59. #17989293C22semidirect
60. #17989293C22semidirect
61. #17989293C22semidirect
62. #17989292C22semidirect
63. #17989291C22semidirect
64. #17989287C22semidirect
65. #17989287C22semidirect
66. #17989286C22semidirect
67. #17989285C22semidirect
68. #17989283C22semidirect
69. #17989282C22semidirect
70. #17989282C22semidirect
71. #17989282C22semidirect
72. #17989281C22semidirect
73. #17989281C22semidirect
74. #17989281C22semidirect
75. #17989276C22semidirect
76. #17989275C22semidirect
77. #17989275C22semidirect
78. #17989273C22semidirect
79. #17989273C22semidirect
80. #17989273C22semidirect
81. #17989272C22semidirect
82. #17989271C22semidirect
83. #17989271C22semidirect
84. #17989270C22semidirect
85. #17989265C22semidirect
86. #17989265C22semidirect
87. #17989265C22semidirect
88. #17989263C22semidirect
89. #17989262C22semidirect
90. #17989262C22semidirect
91. #17989262C22semidirect
92. #17989261C22semidirect
93. #17989258C22semidirect
94. #17989258C22semidirect
95. #17989256C22semidirect
96. #17989255C22semidirect
97. D4×Dic146C22semidirect
98. #17989252C22semidirect
99. #17989250C22semidirect
100. #17989250C22semidirect
101. #17989249C22semidirect
102. #17989247C22semidirect
103. #17989246C22semidirect
104. #17989246C22semidirect
105. #17989244C22semidirect
106. #17989243C22semidirect
107. #17989242C22semidirect
108. #17989239C22semidirect
109. #17989239C22semidirect
110. #17989239C22semidirect
111. #17989238C22semidirect
112. #17989238C22semidirect
113. #17989235C22semidirect
114. #17989234C22semidirect
115. #17989234C22semidirect
116. #17989234C22semidirect
117. #17989233C22semidirect
118. #17989230C22semidirect
119. #17989230C22semidirect
120. #17989229C22semidirect
121. #17989228C22semidirect
122. #17989227C22semidirect
123. #17989227C22semidirect
124. #17989224C22semidirect
125. D4×D292C22semidirect
126. #17989221C22semidirect
127. D4×C22⋊D73C22semidirect
128. #17989219C22semidirect
129. #17989210C22semidirect
130. #17989210C22semidirect
131. #17989207C22semidirect
132. #17989205C22semidirect
133. #17989204C22semidirect
134. #17989204C22semidirect
135. #17989203C22semidirect
136. #17989201C22semidirect
137. #17989197C22semidirect
138. #17989197C22semidirect
139. #17989196C22semidirect
140. #17989194C22semidirect
141. #17989190C22semidirect
142. #17989190C22semidirect
143. #17989189C22semidirect
144. #17989187C22semidirect
145. #17989185C22semidirect
146. #17989183C22semidirect
147. #17989181C22semidirect
148. #17989181C22semidirect
149. #17989180C22semidirect
150. #17989178C22semidirect
151. #17989176C22semidirect
152. #17989173C22semidirect
153. #17989172C22semidirect
154. #17989172C22semidirect
155. #17989171C22semidirect
156. #17989169C22semidirect
157. #17989142C22semidirect
158. #17989142C22semidirect
159. #17989141C22semidirect
160. #17989141C22semidirect
161. #17989141C22semidirect
162. #17989140C22semidirect
163. #17989140C22semidirect
164. #17989138C22semidirect
165. #17989138C22semidirect
166. #17989137C22semidirect
167. #17989134C22semidirect
168. #17989134C22semidirect
169. #17989134C22semidirect
170. #17989133C22semidirect
171. #17989133C22semidirect
172. #17989124C22semidirect
173. #17989124C22semidirect
174. #17989124C22semidirect
175. #17989123C22semidirect
176. #17989123C22semidirect
177. #17989123C22semidirect
178. #17989122C22semidirect
179. #17989122C22semidirect
180. #17989122C22semidirect
181. #17989121C22semidirect
182. #17989121C22semidirect
183. #17989120C22semidirect
186. #17989119C22semidirect
187. #17989119C22semidirect
188. #17989119C22semidirect
189. #17989119C22semidirect
190. #17989119C22semidirect
191. #17989119C22semidirect
192. #17989119C22semidirect
193. #17989119C22semidirect
194. #17989119C22semidirect
195. #17989119C22semidirect
196. #17989119C22semidirect
197. #17989119C22semidirect
198. #17989119C22semidirect
199. #17989118C22semidirect
200. #17989117C22semidirect
201. #17989117C22semidirect
202. #17989117C22semidirect
204. #17989115C22semidirect
205. #17989115C22semidirect
206. #17989115C22semidirect
207. #17989115C22semidirect
208. #17989115C22semidirect
209. #17989114C22semidirect
210. C2×#14556584C22semidirect
211. #126×D73C22semidirect
212. C2×#14556582C22semidirect
213. #125×D73C22semidirect
214. C2×#14556578C22semidirect
215. #124×D73C22semidirect
216. #17989100C22semidirect
217. #17989100C22semidirect
218. #17989099C22semidirect
219. #17989099C22semidirect
220. #17989098C22semidirect
221. #17989096C22semidirect
222. #17989096C22semidirect
223. #17989096C22semidirect
224. #17989096C22semidirect
225. #17989094C22semidirect
226. C2×#14556573C22semidirect
227. #123×D73C22semidirect
228. C2×#14556571C22semidirect
229. C22⋊Q8×D73C22semidirect
232. #17989068C22semidirect
233. #17989068C22semidirect
234. #17989068C22semidirect
235. #17989068C22semidirect
236. #17989067C22semidirect
237. #17989067C22semidirect
238. #17989064C22semidirect
239. #17989064C22semidirect
240. #17989061C22semidirect
241. #17989061C22semidirect
242. #17989060C22semidirect
243. #17989060C22semidirect
244. #41×Dic73C22semidirect
245. C4×#11924029C22semidirect
246. C4×#11924029C22semidirect
247. C4×#11924029C22semidirect
248. C4×#11924029C22semidirect
250. C4×#11924028C22semidirect
251. C4×#11924028C22semidirect
252. C4×#11924028C22semidirect
253. C4×#11924028C22semidirect
254. C4×#11924028C22semidirect
257. #17989055C22semidirect
258. #17989055C22semidirect
259. #17989055C22semidirect
260. C4×#11924027C22semidirect
261. C4×#11924027C22semidirect
262. C4×#11924027C22semidirect
263. C4×#11924027C22semidirect
264. C2×C4×Dic146C22semidirect
265. C4×Q8×D73C22semidirect
266. C4×Q8×D73C22semidirect
267. C4×Q8×D73C22semidirect
268. C2×C4×C22⋊D73C22semidirect
269. C4×D4×D73C22semidirect
270. C4×D4×D73C22semidirect
271. C4×D4×D73C22semidirect
272. C4×D4×D73C22semidirect
273. C4×D4×D73C22semidirect
274. C4×D4×D73C22semidirect
275. C2×#14556550C22semidirect
276. #117×D73C22semidirect
277. #117×D73C22semidirect
278. #117×D73C22semidirect
279. #117×D73C22semidirect
280. C2×C42×D73C22semidirect
281. C2×C42×D73C22semidirect
282. #556×C73C22semidirect
283. #555×C73C22semidirect
284. #554×C73C22semidirect
285. #553×C73C22semidirect
286. #552×C73C22semidirect
287. #552×C73C22semidirect
288. #551×C73C22semidirect
289. #547×C73C22semidirect
290. #546×C73C22semidirect
291. #533×C73C22semidirect
292. #529×C73C22semidirect
293. #529×C73C22semidirect
294. #525×C73C22semidirect
295. C4×#41×C73C22semidirect
296. C4×#41×C73C22semidirect
297. C2×C4×D4×C73C22semidirect
298. C2×#117×C73C22semidirect
826. #11924028#41semidirect
1343. #3475D73semidirect
1354. C73#62816semidirect
1373. #556C2×D73semidirect
1377. #555C2×D73semidirect
1385. #554C2×D73semidirect
1397. #553C2×D73semidirect
1408. #552C2×D73semidirect
1409. #552C2×D73semidirect
1418. #551C2×D73semidirect
1440. #547C2×D73semidirect
1452. #546C2×D73semidirect
1492. #533C2×D73semidirect
1539. #529C2×D73semidirect
1540. #529C2×D73semidirect
1557. #525C2×D73semidirect
1596. C4×#41C2×D73semidirect
1597. C4×#41C2×D73semidirect
1609. C2×C4×D4C2×D73semidirect
1615. C2×#117C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240392
#226240262
#226240152
#226240062
#226239962
#226239832
#226239772
#226239662
#226239602
#226239472
#226239362
#226239232
#226239122
#226239062
#226238952
#226238892
#226238782
#226238682
#226235292
#226235242
#226235092
#226234872
#226234852
D4×#119240282
#226234142
#226233192
#226233142
#226232282
#226232242
C2×#179891192
#529×D732
#226231322
C4×#41×D732
C73×#34752
#6281673