Finite Group Databasebeta

← #33982713

Subgroups — #33982713

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624369C211yesmaximal, characteristic, complemented
2#22623878C211yesmaximal, characteristic, complemented
3#22622871C211yesmaximal, characteristic, complemented
4#22622833C211yesmaximal, characteristic, complemented
5#22622724C211yesmaximal, characteristic, complemented
6#22622706C211yesmaximal, characteristic, complemented
7#22622470C211yesmaximal, characteristic, complemented
8#22622394C211yesmaximal, characteristic, complemented
9#22622387C211yesmaximal, characteristic, complemented
10#22622303C211yesmaximal, characteristic, complemented
11#22622284C211yesmaximal, characteristic, complemented
12#22622067C211yesmaximal, characteristic, complemented
13#22622015C211yesmaximal, characteristic, complemented
14#22621969C211yesmaximal, characteristic, complemented
15#22621886C211yesmaximal, characteristic, complemented
16#22621776C211yesmaximal, characteristic, complemented
17#22621753C211yesmaximal, characteristic, complemented
18#22621401C211yesmaximal, characteristic, complemented
19#22621335C211yesmaximal, characteristic, complemented
20#22621282C211yesmaximal, characteristic, complemented
21#22621225C211yesmaximal, characteristic, complemented
22#22621180C211yesmaximal, characteristic, complemented
23#22621162C211yesmaximal, characteristic, complemented
24#22620211C211yesmaximal, characteristic, complemented
25#22620110C211yesmaximal, characteristic, complemented
26#22620067C211yesmaximal, characteristic, complemented
27#22619798C211yesmaximal, characteristic, complemented
28#22619760C211yesmaximal, characteristic, complemented
29#476×D73C211yesmaximal, characteristic, complemented
30#22619066C211yesmaximal, characteristic, complemented
31C73×#3345C211yesmaximal, characteristic, complemented
32#17989340—21no—
33#17989340—21no—
34#17989320C2211yescharacteristic
35#17989312C2211yescharacteristic, complemented
36#17989307C2211yescharacteristic, complemented
37#17989293C2211yescharacteristic
38#17989292C2211yescharacteristic
39#17989292C2211yescharacteristic, complemented
40#17989287—21no—
41#17989284C2211yescharacteristic
42#17989284C2211yescharacteristic, complemented
43#17989276C2211yescharacteristic
44#17989265—21no—
45#17989262—21no—
46D4×Dic146C2211yescharacteristic, complemented
47#17989250—21no—
48#17989244—21no—
49#17989238C2211yescharacteristic
50#17989234—21no—
51#17989234C2211yescharacteristic
52#17989233C2211yescharacteristic
53#17989221C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989218C2211yescharacteristic, complemented
56#17989204C2211yescharacteristic
57#17989204C2211yescharacteristic, complemented
58#17989204C2211yescharacteristic, complemented
59#17989197—21no—
60#17989190C2211yescharacteristic
61#17989180—21no—
62#17989180—21no—
63#17989178—21no—
64#17989169—21no—
65#17989158—21no—
66C4⋊Q8×D73C2211yescharacteristic, complemented
67#17989122C2211yescharacteristic
68#17989119C2211yescharacteristic
69#17989119C2211yescharacteristic, complemented
70#17989096—21no—
71#123×D73—21no—
72#17989068C2211yescharacteristic
73#17989061C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988988C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988950C2211yescharacteristic
81#17988949C2211yescharacteristic, complemented
82#17988947C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic
86#17988929C2211yescharacteristic, complemented
87#17988928C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988917C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988908C2211yescharacteristic
95#17988908C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic
97#17988907C2211yescharacteristic
98#17988905C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988891C2211yescharacteristic, complemented
104#17988890C2211yescharacteristic
105#17988890C2211yescharacteristic, complemented
106#17988889C2211yescharacteristic, complemented
107#17988886C2211yescharacteristic
108#17988886C2211yescharacteristic
109#17988886C2211yescharacteristic, complemented
110#17988885C2211yescharacteristic, complemented
111#17988878C2211yescharacteristic
112#17988877C2211yescharacteristic, complemented
113#17988876C2211yescharacteristic
114#17988876C2211yescharacteristic
115#17988876C2211yescharacteristic
116#17988876C2211yescharacteristic, complemented
117#17988875C2211yescharacteristic, complemented
118#17988875C2211yescharacteristic, complemented
119#17988875C2211yescharacteristic, complemented
120#17988874C2211yescharacteristic
121#17988871C2211yescharacteristic, complemented
122#17988871C2211yescharacteristic, complemented
123#17988871C2211yescharacteristic, complemented
124#17988871C2211yescharacteristic, complemented
125#17988866C2211yescharacteristic
126#17988866C2211yescharacteristic, complemented
127#17988866C2211yescharacteristic, complemented
128#17988845C2211yescharacteristic, complemented
129#17988838C2211yescharacteristic, complemented
130#17988831C2211yescharacteristic, complemented
131#17988829C2211yescharacteristic, complemented
132#17988822C2211yescharacteristic
133#17988817C2211yescharacteristic
134#17988816C2211yescharacteristic, complemented
135#17988815C2211yescharacteristic, complemented
136#17988814C2211yescharacteristic
137#17988814C2211yescharacteristic, complemented
138#17988810C2211yescharacteristic, complemented
139#17988808C2211yescharacteristic, complemented
140#17988808C2211yescharacteristic, complemented
141#17988802C2211yescharacteristic, complemented
142#17988801C2211yescharacteristic
143#17988801C2211yescharacteristic, complemented
144#17988800C2211yescharacteristic, complemented
145#17988800C2211yescharacteristic, complemented
146#17988786C2211yescharacteristic
147#17988780C2211yescharacteristic
148#17988751C2211yescharacteristic
149#17988740C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988730C2211yescharacteristic
152#17988720C2211yescharacteristic
153#17988719C2211yescharacteristic
154#17988716C2211yescharacteristic, complemented
155#17988715C2211yescharacteristic, complemented
156#17988697C2211yescharacteristic
157#17988696C2211yescharacteristic
158#17988696C2211yescharacteristic, complemented
159#17988693C2211yescharacteristic, complemented
160#17988689C2211yescharacteristic
161#17988687C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic
163#17988678C2211yescharacteristic, complemented
164#17988674C2211yescharacteristic
165#17988674C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic
167#17988661C2211yescharacteristic, complemented
168#17988659C2211yescharacteristic, complemented
169#17988656C2211yescharacteristic
170C8×C22⋊D73C2211yescharacteristic, complemented
171#17988650C2211yescharacteristic
172#17988645C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988627C2211yescharacteristic, complemented
176#17988623C2211yescharacteristic, complemented
177#106×D73C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988613C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988586C2211yescharacteristic
184#17988584C2211yescharacteristic
185C2×#14556511C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#553×C73C2211yescharacteristic
189#547×C73C2211yescharacteristic, complemented
190#501×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic
193#481×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#476×C73C2211yescharacteristic, complemented
197#469×C73C2211yescharacteristic
198#466×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#428×C73C2211yescharacteristic, complemented
202C2×#106×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C22×Dic146—21no—
206C2×Q8×D73—21no—
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211C2×Dic292C2311yescharacteristic
212C2×#11924017C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
214C2×#11924016C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924013C2311yescharacteristic
217C2×#11924013C2311yescharacteristic
218C2×#11924012C2311yescharacteristic
219C22×#10596831C2311yescharacteristic
220C2×C8×D73C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222#14556591C2311yescharacteristic
223#14556590—21no—
224#14556590—21no—
225#14556590—21no—
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556590C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556589—21no—
232#14556589—21no—
233#14556587C2311yescharacteristic
234#14556586—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584D411yescharacteristic
245#14556584D411yescharacteristic
246#14556583—21no—
247#14556582—21no—
248#14556582—21no—
249#14556582D411yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556579C2311yescharacteristic
259#14556578—21no—
260#14556578—21no—
261#14556578—21no—
262#14556578—21no—
263#14556578D411yescharacteristic
264#14556578C2311yescharacteristic
265#14556578C2311yescharacteristic
266#14556577—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556575—21no—
271#14556574—21no—
272#14556574—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573D411yescharacteristic
279#14556573D411yescharacteristic
280#14556572—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572—21no—
285#14556571—21no—
286#14556571D411yescharacteristic
287#14556571C2311yescharacteristic
288#14556571C2311yescharacteristic
289#14556570—21no—
290#14556570—21no—
291#14556570—21no—
292#14556570—21no—
293#14556570—21no—
294#14556570—21no—
295#14556570—21no—
296#14556570C2311yescharacteristic
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556569—21no—
300#14556569—21no—
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556568—21no—
309#14556566C2311yescharacteristic
310#14556565C2311yescharacteristic
311#14556564—21no—
312#14556564—21no—
313#14556563—21no—
314#14556562—21no—
315#14556562—21no—
316#14556562—21no—
317#14556562—21no—
318#14556562D411yescharacteristic
319#14556562C2311yescharacteristic
320#14556561—21no—
321#14556559—21no—
322#14556559—21no—
323#14556559—21no—
324Q8×Dic73—21no—
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327#14556556—21no—
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332C4×D292—21no—
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338#14556553—21no—
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73C2311yescharacteristic
352C4×C22⋊D73C2311yescharacteristic
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556550—21no—
357#14556550C2311yescharacteristic
358#14556550C2311yescharacteristic
359#14556550C2311yescharacteristic
360#14556550C2311yescharacteristic
361#14556549—21no—
362#14556549—21no—
363#14556548—21no—
364C4⋊C4×D73—21no—
365C4⋊C4×D73—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C42×D73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556522C2311yescharacteristic
384#14556522C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391C4⋊#10596831C2311yescharacteristic
392#14556520C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73—21no—
436C2×D8×C73C2311yescharacteristic
437C2×M16×C73C2311yescharacteristic
438C22×C8×C73C2311yescharacteristic
439C4⋊Q8×C73C2311yescharacteristic
440#126×C73—21no—
441#125×C73C2311yescharacteristic
442#123×C73—21no—
443#123×C73—21no—
444#123×C73—21no—
445C22⋊Q8×C73—21no—
446#121×C73—21no—
447#121×C73C2311yescharacteristic
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×D4×C73—21no—
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455#117×C73C2311yescharacteristic
456C2×C4⋊C4×C73C2311yescharacteristic
457C2×C4⋊C4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924028—22no—
481#11924028—41no—
482#11924028—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—82no—
490C2×Dic146C2×D411yescharacteristic
491C2×Dic146C2411yescharacteristic
492C2×Dic146C2411yescharacteristic
493Q8×D73—82no—
494C2×D292—22no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—41no—
498C2×D292C2411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73C2×D411yescharacteristic
507C2×C22⋊D73C2×D411yescharacteristic
508D4×D73—22no—
509D4×D73—41no—
510D4×D73—82no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—82no—
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2411yescharacteristic
528Dic292—41no—
529#11924017—22no—
530#11924017—41no—
531#11924016—41no—
532#11924016—41no—
533#11924013—22no—
534#11924013—41no—
535#11924012—41no—
536C2×#10596831—41no—
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C2×#10596831C2411yescharacteristic
541C8×D73—41no—
542C8×D73—41no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2×D411yescharacteristic
552C4⋊Dic73C2×D411yescharacteristic
553C4⋊Dic73C2×D411yescharacteristic
554C4⋊Dic73C2×D411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73C2×D411yescharacteristic
597C22⋊Dic73C2×D411yescharacteristic
598C22⋊Dic73C2×D411yescharacteristic
599C22⋊Dic73C2×D411yescharacteristic
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C4×Dic73C2411yescharacteristic
628#41×C73—82no—
629C2×Q8×C73—21no—
630C2×D4×C73—21no—
631C2×D4×C73—21no—
632C2×D4×C73—21no—
633C2×D4×C73—21no—
634C2×D4×C73C2×D411yescharacteristic
635C2×D4×C73C2411yescharacteristic
636C2×D4×C73C2411yescharacteristic
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73—21no—
640C22×C4×C73—21no—
641C22×C4×C73—21no—
642C22×C4×C73C2411yescharacteristic
643C22×C4×C73C2411yescharacteristic
644D8×C73—41no—
645M16×C73—41no—
646C2×C8×C73—41no—
647C2×C8×C73C2411yescharacteristic
648C2×C8×C73C2411yescharacteristic
649C2×C8×C73C2411yescharacteristic
650C2×C8×C73C2411yescharacteristic
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73C2×D411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73—21no—
671C22⋊C4×C73C2×D411yescharacteristic
672C22⋊C4×C73C2×D411yescharacteristic
673C42×C73—21no—
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C23×C73C22×D411yescharacteristic
678C23×C73C22×D411yescharacteristic
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—42no—
684C22×D73—81no—
685C22×D73—81no—
686C22×D73—81no—
687C22×D73C22×D411yescharacteristic
688Q8×C73—42no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—41no—
694D4×C73—81no—
695D4×C73—81no—
696D4×C73—81no—
697D4×C73—81no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—42no—
709C2×C4×C73—81no—
710C2×C4×C73—81no—
711C2×C4×C73—81no—
712C2×C4×C73—81no—
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C2511yescharacteristic
718C22⋊D73—22no—
719C22⋊D73—22no—
720C22⋊D73—42no—
721C22⋊D73—42no—
722C22⋊D73—42no—
723C22⋊D73—81no—
724C22⋊D73—81no—
725C22⋊D73—81no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—81no—
733C2×Dic73—81no—
734C2×Dic73—81no—
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742D292—21no—
743D292—21no—
744D292—21no—
745D292—42no—
746D292—42no—
747D2922−1+412yes—
748C4×D73—22no—
749C4×D73—21no—
750C4×D73—21no—
751C4×D73—41no—
752C4×D73—42no—
753C4×D73—42no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762Dic146—21no—
763Dic146—21no—
764Dic146—21no—
765Dic146—21no—
766Dic146—41no—
767Dic146—42no—
768Dic146—81no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—21no—
785C22×C73—21no—
786C22×C73—21no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73C23×D411yescharacteristic
794C2×D73—21no—
795C2×D73—21no—
796C2×D73—22no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—84no—
803C2×D73—162no—
804C2×D73#57712yes—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73C2×2−1+411yescharacteristic
816C4×C73#58511yescharacteristic
817Dic73—21no—
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62156—731nomaximal, Sylow
831C2×C73—41no—
832C2×C73—41no—
833C2×C73—81no—
834C2×C73—81no—
835C2×C73#348911yescharacteristic
836C2×C73C2×#57711yescharacteristic
837C2×C73#358511yescharacteristic
838D73—22no—
839D73—42no—
840D73—81no—
841#3552—731no—
842#3513—731no—
843#3388—731no—
844#3384—731no—
845#3373—731no—
846#3371—731no—
847#3350—731no—
848#3345—731no—
849#3345D7311yescharacteristic, complemented
850#3344—731no—
851#3337—731no—
852#3335—731no—
853#3318—731no—
854#3314—731no—
855#3311—731no—
856#3306—731no—
857#3297—731no—
858#3295—731no—
859#3263—731no—
860#3257—731no—
861#3250—731no—
862#3244—731no—
863#3241—731no—
864#3239—731no—
865#3125—731no—
866#3118—731no—
867#3114—731no—
868#3084—731no—
869#3081—731no—
870C2×#476—731no—
871#2992—731no—
872C73#6215611yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559—731no—
876#557—731no—
877#556—731no—
878#554—731no—
879#554—731no—
880#554—731no—
881#553—731no—
882#553—731no—
883#553—1461no—
884#553C2×D7311yescharacteristic
885#552—731no—
886#551—1461no—
887#551—1461no—
888D4×Q8—731no—
889D4×Q8—1461no—
890#548—1461no—
891#547—731no—
892#547C2×D7311yescharacteristic, complemented
893#546—731no—
894#546—731no—
895#546—1461no—
896D42—731no—
897#544—731no—
898#544—731no—
899#542—731no—
900#542—731no—
901#542—731no—
902#541—1461no—
903#540—731no—
904#539—1461no—
905#539—1461no—
906#539—1461no—
907#538—1461no—
908#536—1461no—
909C2×C4⋊Q8—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#525—1461no—
914C2×#123—1461no—
915#520—731no—
916#518—731no—
917C2×C4×D4—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501C2×D7311yescharacteristic, complemented
922#499—731no—
923#498—731no—
924#490—731no—
925#489—731no—
926#489—731no—
927#489—731no—
928#488—731no—
929#486—731no—
930#485—731no—
931#485—731no—
932#484—731no—
933#484—731no—
934#483—731no—
935#483—731no—
936#483—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482C2×D7311yescharacteristic, complemented
941#481—731no—
942#481—731no—
943#481—731no—
944#481C2×D7311yescharacteristic
945#481C2×D7311yescharacteristic, complemented
946#480—731no—
947#480C2×D7311yescharacteristic, complemented
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478C2×D7311yescharacteristic, complemented
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476C2×D7311yescharacteristic, complemented
971#475—731no—
972#475—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474—731no—
977#474—731no—
978#470—731no—
979#469—731no—
980#469C2×D7311yescharacteristic
981#468—731no—
982#467—731no—
983#466—731no—
984#466C2×D7311yescharacteristic, complemented
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#464—731no—
991#464—731no—
992#464—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#463—731no—
998#460—731no—
999#459—731no—
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449—731no—
1004#447—731no—
1005#447—731no—
1006#446—731no—
1007#446—731no—
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#442C2×D7311yescharacteristic, complemented
1012#441—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016C4×SD16—731no—
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×D8—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435C2×D7311yescharacteristic, complemented
1024C8×D4—731no—
1025C8×D4—731no—
1026#433—731no—
1027#433—731no—
1028#432—731no—
1029#428—731no—
1030#428C2×D7311yescharacteristic, complemented
1031#427—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×#106C2×D7311yescharacteristic, complemented
1035#424—731no—
1036#424—731no—
1037C2×C4⋊C8—731no—
1038#418—731no—
1039#417—731no—
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#41—21no—
1045C2×#41—731no—
1046C2×#41—1461no—
1047C22×Q8—1461no—
1048C22×Q8—1461no—
1049C22×D4—731no—
1050C22×D4—731no—
1051C22×D4—1461no—
1052C23×C4—1461no—
1053C2×Q16—731no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16—731no—
1058C2×D8—731no—
1059C2×D8—731no—
1060C2×D8C22×D7311yescharacteristic
1061C2×M16—731no—
1062C2×M16C22×D7311yescharacteristic
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8C22×D7311yescharacteristic
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—731no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077C4⋊Q8—1461no—
1078C4⋊Q8C22×D7311yescharacteristic
1079#127—731no—
1080#126—21no—
1081#126—731no—
1082#126—731no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#125—731no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—1461no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125C22×D7311yescharacteristic
1106#124—731no—
1107#124—731no—
1108#124—731no—
1109#124—731no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124—1461no—
1114#124—1461no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—731no—
1119#123—731no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—21no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161#121—21no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—1461no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121C22×D7311yescharacteristic
1174#121C22×D7311yescharacteristic
1175#121C22×D7311yescharacteristic
1176#121C22×D7311yescharacteristic
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—1461no—
1188C4×Q8—1461no—
1189C4×D4—21no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—1461no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117C22×D7311yescharacteristic
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—1461no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4C22×D7311yescharacteristic
1233C2×C4⋊C4C22×D7311yescharacteristic
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C22⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C42—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107C22×D7311yescharacteristic
1247#107C22×D7311yescharacteristic
1248#107C22×D7311yescharacteristic
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106C22×D7311yescharacteristic
1260#106C22×D7311yescharacteristic
1261#106C22×D7311yescharacteristic
1262#106C22×D7311yescharacteristic
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313#97—731no—
1314#97—731no—
1315#97—731no—
1316#97C22×D7311yescharacteristic
1317C4×C8—731no—
1318C4×C8—731no—
1319C24—1461no—
1320C24—1461no—
1321#41—82no—
1322#41—2921no—
1323#41—5842no—
1324#41—1462no—
1325C2×Q8—21no—
1326C2×Q8—5842no—
1327C2×Q8—5842no—
1328C2×Q8—731no—
1329C2×Q8—731no—
1330C2×Q8—731no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8—1461no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—2921no—
1342C2×D4—2921no—
1343C2×D4—5842no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—731no—
1347C2×D4—731no—
1348C2×D4—1461no—
1349C2×D4—1462no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1462no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4D4×D7311yescharacteristic
1359C2×D4C23×D7311yescharacteristic
1360C2×D4C23×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—5842no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—731no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4C23×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385Q16—2921no—
1386SD16—2921no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—41no—
1391D8—2921no—
1392D8—1462no—
1393M16—41no—
1394M16—2921no—
1395C2×C8—41no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4D4×D7311yescharacteristic
1454C4⋊C4C23×D7311yescharacteristic
1455C4⋊C4C23×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—731no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4D4×D7311yescharacteristic
1501C22⋊C4D4×D7311yescharacteristic
1502C42—21no—
1503C42—731no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—2922no—
1519C23—2922no—
1520C23—2922no—
1521C23—5841no—
1522C23—5841no—
1523C23—5841no—
1524C23—731no—
1525C23—1461no—
1526C23—1461no—
1527C23C2×D4×D7311yescharacteristic
1528C23C2×D4×D7311yescharacteristic
1529Q8—42no—
1530Q8—2922no—
1531Q8—2921no—
1532Q8—5841no—
1533Q8—5841no—
1534Q8—5841no—
1535Q8—5841no—
1536Q8—5841no—
1537Q8—1461no—
1538Q8—1461no—
1539Q8—1461no—
1540Q8—1461no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—41no—
1546D4—81no—
1547D4—81no—
1548D4—81no—
1549D4—81no—
1550D4—2922no—
1551D4—2922no—
1552D4—2922no—
1553D4—2922no—
1554D4—2922no—
1555D4—5841no—
1556D4—5841no—
1557D4—5841no—
1558D4—732no—
1559D4—1462no—
1560D4—1462no—
1561D4—1461no—
1562D4—1461no—
1563D4—1461no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—42no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—2922no—
1580C2×C4—2921no—
1581C2×C4—2922no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—5841no—
1592C2×C4—5841no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—731no—
1599C2×C4—731no—
1600C2×C4—1462no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—2921no—
1638C22—2921no—
1639C22—5844no—
1640C22—732no—
1641C22—11682no—
1642C22—1462no—
1643C22—1461no—
1644C22—1461no—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—2921no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—1461no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C42−1+4×D7311yescharacteristic
1670C4#1798942311yescharacteristic
1671C2—41no—
1672C2—41no—
1673C2—81no—
1674C2—81no—
1675C2—2922no—
1676C2—5841no—
1677C2—1462no—
1678C2#2262360511yescharacteristic
1679C2#577×D7311yescharacteristic
1680C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3345C2
socleC22×C73C23×D4
hypercenter#3345D73
hypocenterC73#62156
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #22624369C2semidirect
2. #22623878C2semidirect
3. #22622871C2semidirect
4. #22622833C2semidirect
5. #22622724C2semidirect
6. #22622706C2semidirect
7. #22622470C2semidirect
8. #22622394C2semidirect
9. #22622387C2semidirect
10. #22622303C2semidirect
11. #22622284C2semidirect
12. #22622067C2semidirect
13. #22622015C2semidirect
14. #22621969C2semidirect
15. #22621886C2semidirect
16. #22621776C2semidirect
17. #22621753C2semidirect
18. #22621401C2semidirect
19. #22621335C2semidirect
20. #22621282C2semidirect
21. #22621225C2semidirect
22. #22621180C2semidirect
23. #22621162C2semidirect
24. #22620211C2semidirect
25. #22620110C2semidirect
26. #22620067C2semidirect
27. #22619798C2semidirect
28. #22619760C2semidirect
29. #476×D73C2semidirect
30. #22619066C2semidirect
31. C73×#3345C2semidirect
35. #17989312C22semidirect
36. #17989307C22semidirect
39. #17989292C22semidirect
42. #17989284C22semidirect
46. D4×Dic146C22semidirect
54. #17989218C22semidirect
55. #17989218C22semidirect
57. #17989204C22semidirect
58. #17989204C22semidirect
66. C4⋊Q8×D73C22semidirect
69. #17989119C22semidirect
75. #17988997C22semidirect
76. #17988995C22semidirect
77. #17988994C22semidirect
78. #17988988C22semidirect
79. #17988984C22semidirect
81. #17988949C22semidirect
82. #17988947C22semidirect
83. #17988945C22semidirect
84. #17988940C22semidirect
86. #17988929C22semidirect
87. #17988928C22semidirect
88. #17988924C22semidirect
89. #17988924C22semidirect
90. #17988919C22semidirect
91. #17988917C22semidirect
92. #17988917C22semidirect
93. #17988912C22semidirect
95. #17988908C22semidirect
98. #17988905C22semidirect
99. #17988899C22semidirect
100. #17988897C22semidirect
101. #17988897C22semidirect
102. #17988893C22semidirect
103. #17988891C22semidirect
105. #17988890C22semidirect
106. #17988889C22semidirect
109. #17988886C22semidirect
110. #17988885C22semidirect
112. #17988877C22semidirect
116. #17988876C22semidirect
117. #17988875C22semidirect
118. #17988875C22semidirect
119. #17988875C22semidirect
121. #17988871C22semidirect
122. #17988871C22semidirect
123. #17988871C22semidirect
124. #17988871C22semidirect
126. #17988866C22semidirect
127. #17988866C22semidirect
128. #17988845C22semidirect
129. #17988838C22semidirect
130. #17988831C22semidirect
131. #17988829C22semidirect
134. #17988816C22semidirect
135. #17988815C22semidirect
137. #17988814C22semidirect
138. #17988810C22semidirect
139. #17988808C22semidirect
140. #17988808C22semidirect
141. #17988802C22semidirect
143. #17988801C22semidirect
144. #17988800C22semidirect
145. #17988800C22semidirect
154. #17988716C22semidirect
155. #17988715C22semidirect
158. #17988696C22semidirect
159. #17988693C22semidirect
161. #17988687C22semidirect
163. #17988678C22semidirect
165. #17988674C22semidirect
167. #17988661C22semidirect
168. #17988659C22semidirect
170. C8×C22⋊D73C22semidirect
172. #17988645C22semidirect
173. #17988645C22semidirect
174. #17988642C22semidirect
175. #17988627C22semidirect
176. #17988623C22semidirect
177. #106×D73C22semidirect
178. #106×D73C22semidirect
179. #17988615C22semidirect
180. #17988613C22semidirect
181. C4⋊C8×D73C22semidirect
189. #547×C73C22semidirect
190. #501×C73C22semidirect
191. #482×C73C22semidirect
193. #481×C73C22semidirect
194. #480×C73C22semidirect
195. #478×C73C22semidirect
196. #476×C73C22semidirect
198. #466×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#106×C73C22semidirect
849. #3345D73semidirect
872. C73#62156semidirect
892. #547C2×D73semidirect
921. #501C2×D73semidirect
940. #482C2×D73semidirect
945. #481C2×D73semidirect
947. #480C2×D73semidirect
959. #478C2×D73semidirect
970. #476C2×D73semidirect
984. #466C2×D73semidirect
1011. #442C2×D73semidirect
1023. #435C2×D73semidirect
1030. #428C2×D73semidirect
1034. C2×#106C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243692
#226238782
#226228712
#226228332
#226227242
#226227062
#226224702
#226223942
#226223872
#226223032
#226222842
#226220672
#226220152
#226219692
#226218862
#226217762
#226217532
#226214012
#226213352
#226212822
#226212252
#226211802
#226211622
#226202112
#226201102
#226200672
#226197982
#226197602
#476×D732
#226190662
C73×#33452
#6215673