Finite Group Databasebeta

← #33982939

Subgroups — #33982939

Order 18688.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624527C211yesmaximal, characteristic, complemented
2#22623962C211yesmaximal, characteristic
3#22622878C211yesmaximal, characteristic, complemented
4#22622870C211yesmaximal, characteristic, complemented
5#22622656C211yesmaximal, characteristic, complemented
6#22622451C211yesmaximal, characteristic, complemented
7#22622443C211yesmaximal, characteristic, complemented
8#22622421C211yesmaximal, characteristic, complemented
9#22622413C211yesmaximal, characteristic, complemented
10#22622317C211yesmaximal, characteristic, complemented
11#22622315C211yesmaximal, characteristic, complemented
12#22621959C211yesmaximal, characteristic, complemented
13#22621959C211yesmaximal, characteristic, complemented
14#22621951C211yesmaximal, characteristic, complemented
15#22621951C211yesmaximal, characteristic, complemented
16#22621758C211yesmaximal, characteristic, complemented
17#22621754C211yesmaximal, characteristic, complemented
18#22621375C211yesmaximal, characteristic, complemented
19#22621375C211yesmaximal, characteristic, complemented
20#22621245C211yesmaximal, characteristic, complemented
21#22621179C211yesmaximal, characteristic, complemented
22#22621177C211yesmaximal, characteristic, complemented
23#22621116C211yesmaximal, characteristic, complemented
24#22620182C211yesmaximal, characteristic, complemented
25#22620180C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22619761C211yesmaximal, characteristic, complemented
28#22619755C211yesmaximal, characteristic, complemented
29#478×D73C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3368C211yesmaximal, characteristic, complemented
32C73⋊#564—21no—
33#17989336—21no—
34#17989315C2211yescharacteristic, complemented
35#17989302C2211yescharacteristic
36#17989298C2211yescharacteristic, complemented
37#17989297C2211yescharacteristic
38#17989297C2211yescharacteristic, complemented
39#17989287C2211yescharacteristic
40#17989287C2211yescharacteristic
41#17989284—21no—
42#17989278—21no—
43#17989278C2211yescharacteristic, complemented
44#17989278C2211yescharacteristic, complemented
45#17989275C2211yescharacteristic, complemented
46#17989275C2211yescharacteristic, complemented
47#17989269—21no—
48#17989226—21no—
49#17989226—21no—
50#17989225—21no—
51#17989222C2211yescharacteristic
52#17989222C2211yescharacteristic
53#17989222C2211yescharacteristic
54#17989217C2211yescharacteristic, complemented
55#17989214—21no—
56#17989214C2211yescharacteristic, complemented
57#17989196—21no—
58#17989195—21no—
59#17989195C2211yescharacteristic, complemented
60#17989195C2211yescharacteristic, complemented
61#17989191C2211yescharacteristic
62#17989191C2211yescharacteristic
63#17989185—21no—
64#17989169—21no—
65#17989169—21no—
66#17989141C2211yescharacteristic, complemented
67#17989135C2211yescharacteristic
68#17989124C2211yescharacteristic
69#125×D73C2211yescharacteristic, complemented
70#17989094—21no—
71#121×D73—21no—
72#17989059C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988989C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988951C2211yescharacteristic, complemented
82#17988951C2211yescharacteristic, complemented
83#17988933C2211yescharacteristic, complemented
84#17988931C2211yescharacteristic, complemented
85#17988930C2211yescharacteristic, complemented
86#17988927C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988910C2211yescharacteristic, complemented
91#17988910C2211yescharacteristic, complemented
92#17988909C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988904C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988899C2211yescharacteristic, complemented
102#17988895C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988894C2211yescharacteristic, complemented
105#17988894C2211yescharacteristic, complemented
106#17988890C2211yescharacteristic
107#17988889C2211yescharacteristic, complemented
108#17988889C2211yescharacteristic, complemented
109#17988889C2211yescharacteristic, complemented
110#17988888C2211yescharacteristic
111#17988888C2211yescharacteristic
112#17988887C2211yescharacteristic, complemented
113#17988887C2211yescharacteristic, complemented
114#17988886C2211yescharacteristic
115#17988885C2211yescharacteristic, complemented
116#17988885C2211yescharacteristic, complemented
117#17988885C2211yescharacteristic, complemented
118#17988884C2211yescharacteristic
119#17988884C2211yescharacteristic
120#17988878C2211yescharacteristic
121#17988875C2211yescharacteristic, complemented
122#17988875C2211yescharacteristic, complemented
123#17988874C2211yescharacteristic
124#17988873C2211yescharacteristic, complemented
125#17988872C2211yescharacteristic, complemented
126#17988867C2211yescharacteristic, complemented
127#17988866C2211yescharacteristic
128#17988865C2211yescharacteristic, complemented
129#17988832C2211yescharacteristic, complemented
130#17988832C2211yescharacteristic, complemented
131#17988830C2211yescharacteristic, complemented
132#17988830C2211yescharacteristic, complemented
133#17988815C2211yescharacteristic, complemented
134#17988815C2211yescharacteristic, complemented
135#17988815C2211yescharacteristic, complemented
136#17988815C2211yescharacteristic, complemented
137#17988813C2211yescharacteristic, complemented
138#17988813C2211yescharacteristic, complemented
139#17988813C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988791C2211yescharacteristic
142#17988790C2211yescharacteristic, complemented
143#17988790C2211yescharacteristic, complemented
144#17988790C2211yescharacteristic, complemented
145#17988784C2211yescharacteristic, complemented
146#17988784C2211yescharacteristic, complemented
147#17988784C2211yescharacteristic, complemented
148#17988739C2211yescharacteristic
149#17988739C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988736C2211yescharacteristic
152#17988736C2211yescharacteristic
153#17988736C2211yescharacteristic
154#17988718C2211yescharacteristic, complemented
155#17988689C2211yescharacteristic
156#17988689C2211yescharacteristic
157#17988687C2211yescharacteristic, complemented
158#17988687C2211yescharacteristic, complemented
159#17988685C2211yescharacteristic
160#17988685C2211yescharacteristic
161C4×#11924017C2211yescharacteristic
162C4×#11924015C2211yescharacteristic
163C4×#11924016C2211yescharacteristic, complemented
164#17988660C2211yescharacteristic, complemented
165#17988660C2211yescharacteristic, complemented
166#17988657C2211yescharacteristic, complemented
167#17988657C2211yescharacteristic, complemented
168C8×D292C2211yescharacteristic, complemented
169#17988652C2211yescharacteristic, complemented
170#17988649C2211yescharacteristic, complemented
171#17988646C2211yescharacteristic, complemented
172#17988642C2211yescharacteristic, complemented
173#17988628C2211yescharacteristic, complemented
174#17988628C2211yescharacteristic, complemented
175#17988624C2211yescharacteristic, complemented
176#17988622C2211yescharacteristic, complemented
177#107×D73C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988590C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#102×D73C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#557×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic, complemented
191#490×C73C2211yescharacteristic, complemented
192#486×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic, complemented
195#474×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#460×C73C2211yescharacteristic, complemented
198#460×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×SD16×C73C2211yescharacteristic, complemented
203C2×#11924027—21no—
204C2×D4×D73—21no—
205C2×D4×D73—21no—
206C2×D4×D73—21no—
207C2×D4×D73C2311yescharacteristic
208C2×D4×D73C2311yescharacteristic
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211C2×#11924017C2311yescharacteristic
212C2×#11924016C2311yescharacteristic
213C2×#11924016C2311yescharacteristic
214C2×#11924016C2311yescharacteristic
215C2×#11924015C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×#11924011C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220C2×C8×D73C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222#14556591C2311yescharacteristic
223#14556591C2311yescharacteristic
224#14556590—21no—
225#14556590C2311yescharacteristic
226#14556589—21no—
227#14556589—21no—
228#14556589C2311yescharacteristic
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586D411yescharacteristic
234#14556586D411yescharacteristic
235#14556585—21no—
236#14556585—21no—
237#14556585—21no—
238#14556585—21no—
239#14556584—21no—
240#14556584—21no—
241#14556583—21no—
242#14556583—21no—
243#14556583—21no—
244#14556583C2311yescharacteristic
245#14556583C2311yescharacteristic
246#14556583C2311yescharacteristic
247#14556583C2311yescharacteristic
248#14556582—21no—
249#14556582—21no—
250#14556582—21no—
251#14556582D411yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556580D411yescharacteristic
266#14556578—21no—
267#14556577—21no—
268#14556577—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576D411yescharacteristic
274#14556576D411yescharacteristic
275#14556574—21no—
276#14556574—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572—21no—
280#14556572—21no—
281#14556571—21no—
282#14556571C2311yescharacteristic
283#14556571C2311yescharacteristic
284#14556571C2311yescharacteristic
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556567—21no—
293#14556567—21no—
294#14556567—21no—
295#14556567—21no—
296#14556567D411yescharacteristic
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556566D411yescharacteristic
301#14556565—21no—
302#14556564—21no—
303#14556564—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556562—21no—
309#14556562—21no—
310#14556562—21no—
311#14556562—21no—
312#14556562C2311yescharacteristic
313#14556562C2311yescharacteristic
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556559—21no—
319#14556559—21no—
320#14556559—21no—
321#14556559—21no—
322#14556559—21no—
323#14556559—21no—
324C4×Dic146—21no—
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328#14556556—21no—
329C4×D292—21no—
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336D4×Dic73—21no—
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553—21no—
341#14556553C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556550—21no—
351#14556549—21no—
352#14556549—21no—
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556549C2311yescharacteristic
357#14556548—21no—
358#14556548—21no—
359#14556548—21no—
360#14556548C2311yescharacteristic
361#14556548C2311yescharacteristic
362C4⋊C4×D73—21no—
363C4⋊C4×D73—21no—
364C4⋊C4×D73—21no—
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C2×#11924005—21no—
371C2×#11924005—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C42×D73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C2×#41×C73—21no—
436C2×SD16×C73C2311yescharacteristic
437C2×SD16×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C4⋊Q8×C73—21no—
440C4⋊Q8×C73C2311yescharacteristic
441#127×C73C2311yescharacteristic
442#127×C73C2311yescharacteristic
443#127×C73C2311yescharacteristic
444#125×C73—21no—
445#125×C73—21no—
446#125×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#121×C73—21no—
449#121×C73—21no—
450#121×C73—21no—
451C4×Q8×C73—21no—
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462C4⋊C8×C73C2311yescharacteristic
463C4⋊C8×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#102×C73C2311yescharacteristic
467#102×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480C23×D73—21no—
481#11924027—82no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146C2411yescharacteristic
486C2×D292C2×D411yescharacteristic
487C2×D292C2×D411yescharacteristic
488C2×D292C2×D411yescharacteristic
489C2×D292C2411yescharacteristic
490C2×C22⋊D73—21no—
491C2×C22⋊D73—21no—
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499D4×D73—22no—
500D4×D73—22no—
501D4×D73—22no—
502D4×D73—41no—
503D4×D73—41no—
504D4×D73—41no—
505D4×D73—82no—
506D4×D73—82no—
507D4×D73—82no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—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—82no—
521C2×C4×D73C2×D411yescharacteristic
522C2×C4×D73C2×D411yescharacteristic
523C2×C4×D73C2411yescharacteristic
524C2×C4×D73C2411yescharacteristic
525C2×C4×D73C2411yescharacteristic
526#11924017—22no—
527#11924016—41no—
528#11924016—41no—
529#11924016—41no—
530#11924015—22no—
531#11924011—41no—
532#11924011—41no—
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C2×#10596831C2411yescharacteristic
537C8×D73—41no—
538C8×D73—41no—
539C8×D73—41no—
540C8×D73—41no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2×D411yescharacteristic
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557#11924007—21no—
558#11924007—21no—
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#11924007—21no—
580#11924007—21no—
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
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—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617#11924005C2×D411yescharacteristic
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2×D411yescharacteristic
627C4×Dic73C2411yescharacteristic
628#41×C73—82no—
629C2×Q8×C73—21no—
630C2×Q8×C73C2×D411yescharacteristic
631C2×Q8×C73C2411yescharacteristic
632C2×D4×C73—21no—
633C2×D4×C73—21no—
634C2×D4×C73—21no—
635C2×D4×C73—21no—
636C2×D4×C73—21no—
637C2×D4×C73—21no—
638C2×D4×C73C2411yescharacteristic
639C2×D4×C73C2411yescharacteristic
640C2×D4×C73C2411yescharacteristic
641C22×C4×C73—21no—
642C22×C4×C73—21no—
643C22×C4×C73—21no—
644SD16×C73—41no—
645SD16×C73—41no—
646SD16×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×C73—21no—
658C4⋊C4×C73—21no—
659C4⋊C4×C73C2×D411yescharacteristic
660C4⋊C4×C73C2×D411yescharacteristic
661C4⋊C4×C73C2×D411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C4⋊C4×C73C2411yescharacteristic
665C4⋊C4×C73C2411yescharacteristic
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C42×C73—21no—
670C42×C73—21no—
671C42×C73—21no—
672C42×C73C2411yescharacteristic
673C42×C73C2411yescharacteristic
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C23×C73—21no—
678C22×D73—21no—
679C22×D73—42no—
680C22×D73—42no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—81no—
684C22×D73—81no—
685C22×D73—81no—
686C22×D73—81no—
687C22×D73—81no—
688C22×D73C22×D411yescharacteristic
689C22×D73C22×D411yescharacteristic
690C22×D73C22×D411yescharacteristic
691Q8×C73—21no—
692Q8×C73—21no—
693Q8×C73—41no—
694Q8×C73—81no—
695D4×C73—21no—
696D4×C73—21no—
697D4×C73—21no—
698D4×C73—21no—
699D4×C73—21no—
700D4×C73—21no—
701D4×C73—42no—
702D4×C73—81no—
703D4×C73—81no—
704D4×C73—81no—
705D4×C73—81no—
706D4×C73—81no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—42no—
713C2×C4×C73—81no—
714C2×C4×C73—81no—
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C22×D411yescharacteristic
718C2×C4×C73C22×D411yescharacteristic
719C2×C4×C73C22×D411yescharacteristic
720C2×C4×C73C22×D411yescharacteristic
721C2×C4×C73C2511yescharacteristic
722C22⋊D73—42no—
723C22⋊D73—42no—
724C22⋊D73—42no—
725C22⋊D73—42no—
726C22⋊D73—42no—
727C22⋊D73—81no—
728C22⋊D73—81no—
729C22⋊D73—81no—
730C22⋊D73—81no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—81no—
739C2×Dic73—81no—
740C2×Dic73—81no—
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746D292—22no—
747D292—22no—
748D292—21no—
749D292—41no—
750D2922−1+412yes—
751C4×D73—22no—
752C4×D73—21no—
753C4×D73—21no—
754C4×D73—21no—
755C4×D73—21no—
756C4×D73—21no—
757C4×D73—21no—
758C4×D73—41no—
759C4×D73—42no—
760C4×D73—42no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765C4×D73—81no—
766C4×D73—81no—
767C4×D73—81no—
768Dic146—21no—
769Dic146—21no—
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—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73C23×D411yescharacteristic
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—21no—
794C2×D73—21no—
795C2×D73—21no—
796C2×D73—21no—
797C2×D73—22no—
798C2×D73—21no—
799C2×D73—21no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—84no—
803C2×D73—162no—
804C2×D73—162no—
805C2×D73#57712yes—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—21no—
811C4×C73—21no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73C2×2−1+411yescharacteristic
818C4×C73#58511yescharacteristic
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830Dic73—41no—
831#62164—731nomaximal, Sylow
832C2×C73—81no—
833C2×C73—81no—
834C2×C73—81no—
835C2×C73#348911yescharacteristic
836C2×C73C2×#57711yescharacteristic
837C2×C73#358511yescharacteristic
838D73—22no—
839D73—41no—
840D73—41no—
841D73—42no—
842#3563—731no—
843#3519—731no—
844#3388—731no—
845#3388—731no—
846#3368—731no—
847#3368D7311yescharacteristic, complemented
848#3348—731no—
849#3348—731no—
850#3346—731no—
851#3346—731no—
852#3337—731no—
853#3337—731no—
854#3310—731no—
855#3310—731no—
856#3310—731no—
857#3310—731no—
858#3295—731no—
859#3295—731no—
860#3260—731no—
861#3260—731no—
862#3246—731no—
863#3241—731no—
864#3241—731no—
865#3234—731no—
866#3123—731no—
867#3123—731no—
868#3110—731no—
869#3081—731no—
870#3081—731no—
871C2×#478—731no—
872#2992—731no—
873C73#6216411yescharacteristic, complemented, Sylow
874#564—1461no—
875#563—1461no—
876#557—731no—
877#557C2×D7311yescharacteristic, complemented
878#555—731no—
879#554—731no—
880#554—731no—
881#554—731no—
882#553—731no—
883#553—731no—
884#553—1461no—
885#552—731no—
886#552—731no—
887#552—731no—
888#552—731no—
889#552—1461no—
890#552—1461no—
891#550C2×D7311yescharacteristic
892#546—1461no—
893#546—1461no—
894#546—1461no—
895D42—731no—
896D42—731no—
897D42—731no—
898#544—731no—
899#544—731no—
900#544—1461no—
901#541—731no—
902#541—731no—
903#541—1461no—
904#541—1461no—
905#540—731no—
906#540—731no—
907#539—1461no—
908#538—1461no—
909#538—1461no—
910#533—731no—
911#532—731no—
912#529—731no—
913C2×#125—731no—
914#525—1461no—
915C2×#121—1461no—
916#518—731no—
917#518—731no—
918C2×C4×D4—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#501—731no—
923#499—731no—
924#499—731no—
925#490—731no—
926#490—731no—
927#490C2×D7311yescharacteristic, complemented
928#490C2×D7311yescharacteristic, complemented
929#486—731no—
930#486C2×D7311yescharacteristic, complemented
931#485—731no—
932#485—731no—
933#485—731no—
934#485—731no—
935#484—731no—
936#484—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#481—731no—
942#481—731no—
943#481—731no—
944#481—731no—
945#480—731no—
946#480—731no—
947#480—731no—
948#480—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#479—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#478—731no—
964#478—731no—
965#478—731no—
966#478—731no—
967#478C2×D7311yescharacteristic, complemented
968#478C2×D7311yescharacteristic, complemented
969#476—731no—
970#476—731no—
971#476—731no—
972#476—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474—731no—
977#474—731no—
978#474C2×D7311yescharacteristic, complemented
979#468—731no—
980#468—731no—
981#468—731no—
982#468—731no—
983#465—731no—
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#465—731no—
991#461—731no—
992#461—731no—
993#461—731no—
994#461—731no—
995#460—731no—
996#460—731no—
997#460—731no—
998#460C2×D7311yescharacteristic, complemented
999#460C2×D7311yescharacteristic, complemented
1000#460C2×D7311yescharacteristic, complemented
1001#450—731no—
1002#450—731no—
1003#450—731no—
1004#450—731no—
1005#450—731no—
1006#450—731no—
1007#446—731no—
1008#446C2×D7311yescharacteristic, complemented
1009#440—731no—
1010#440—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440C2×D7311yescharacteristic, complemented
1016#440C2×D7311yescharacteristic, complemented
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×SD16—731no—
1020C4×SD16C2×D7311yescharacteristic, complemented
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024#435—731no—
1025C8×D4—731no—
1026C8×D4—731no—
1027#433—731no—
1028#433—731no—
1029#432—731no—
1030#428—731no—
1031#428—731no—
1032#427—731no—
1033#427—731no—
1034C2×#107—731no—
1035C2×#106—731no—
1036#424—731no—
1037#424—731no—
1038C2×C4⋊C8—731no—
1039#418—731no—
1040#418—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#102—731no—
1045C2×#41—21no—
1046C2×#41—1461no—
1047C22×D4—731no—
1048C22×D4—731no—
1049C22×D4—731no—
1050C22×D4—1461no—
1051C22×D4—1461no—
1052C22×D4—1461no—
1053C23×C4—1461no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16—731no—
1058C2×SD16—731no—
1059C2×SD16C22×D7311yescharacteristic
1060C2×SD16C22×D7311yescharacteristic
1061C2×SD16C22×D7311yescharacteristic
1062C2×M16—731no—
1063C2×M16—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8—731no—
1067C22×C8—731no—
1068C4⋊Q8—21no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—731no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8C22×D7311yescharacteristic
1077#127C22×D7311yescharacteristic
1078#127C22×D7311yescharacteristic
1079#127C22×D7311yescharacteristic
1080#126—731no—
1081#126—731no—
1082#126—1461no—
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#125—21no—
1093#125—21no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—731no—
1100#125—731no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125—1461no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#125—1461no—
1115#125—1461no—
1116#125—1461no—
1117#125—1461no—
1118#125C22×D7311yescharacteristic
1119#125C22×D7311yescharacteristic
1120#124—731no—
1121#124—1461no—
1122#124—1461no—
1123#124—1461no—
1124#123—731no—
1125#123—731no—
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—731no—
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—
1155#121—21no—
1156#121—21no—
1157#121—21no—
1158#121—731no—
1159#121—731no—
1160#121—731no—
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#120—1461no—
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181#120—1461no—
1182C4×Q8—21no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8C22×D7311yescharacteristic
1189C4×Q8C22×D7311yescharacteristic
1190C4×Q8C22×D7311yescharacteristic
1191C4×Q8C22×D7311yescharacteristic
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—731no—
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×D4C22×D7311yescharacteristic
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216#117—731no—
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—731no—
1232C2×C4⋊C4—731no—
1233C2×C4⋊C4—1461no—
1234C2×C4⋊C4—1461no—
1235C2×C4⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C22⋊C4—1461no—
1241C2×C42—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#107—731no—
1250#107—731no—
1251#107—731no—
1252#107C22×D7311yescharacteristic
1253#107C22×D7311yescharacteristic
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106—731no—
1263#106—731no—
1264#106—731no—
1265#106C22×D7311yescharacteristic
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8C22×D7311yescharacteristic
1274C4⋊C8C22×D7311yescharacteristic
1275C4⋊C8C22×D7311yescharacteristic
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103C22×D7311yescharacteristic
1284#102—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#102C22×D7311yescharacteristic
1300#102C22×D7311yescharacteristic
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307#102C22×D7311yescharacteristic
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8—731no—
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314#97—731no—
1315#97—731no—
1316#97C22×D7311yescharacteristic
1317#97C22×D7311yescharacteristic
1318C4×C8—731no—
1319C4×C8C22×D7311yescharacteristic
1320C24—1461no—
1321C24—1461no—
1322C24—1461no—
1323#41—82no—
1324#41—5842no—
1325C2×Q8—21no—
1326C2×Q8—731no—
1327C2×Q8—1461no—
1328C2×Q8—1461no—
1329C2×Q8—1461no—
1330C2×Q8D4×D7311yescharacteristic
1331C2×Q8C23×D7311yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—2921no—
1339C2×D4—2921no—
1340C2×D4—2921no—
1341C2×D4—5842no—
1342C2×D4—5842no—
1343C2×D4—5842no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—731no—
1347C2×D4—731no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1462no—
1352C2×D4—1462no—
1353C2×D4—1462no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4C23×D7311yescharacteristic
1361C2×D4C23×D7311yescharacteristic
1362C2×D4C23×D7311yescharacteristic
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—5842no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—731no—
1370C22×C4—731no—
1371C22×C4—731no—
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×C4—1461no—
1384SD16—41no—
1385SD16—41no—
1386SD16—41no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—2921no—
1390SD16—1462no—
1391SD16—1462no—
1392M16—2921no—
1393M16—2921no—
1394C2×C8—2921no—
1395C2×C8—2921no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—731no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8C23×D7311yescharacteristic
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
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—731no—
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⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4D4×D7311yescharacteristic
1459C4⋊C4D4×D7311yescharacteristic
1460C4⋊C4D4×D7311yescharacteristic
1461C4⋊C4C23×D7311yescharacteristic
1462C4⋊C4C23×D7311yescharacteristic
1463C4⋊C4C23×D7311yescharacteristic
1464C4⋊C4C23×D7311yescharacteristic
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—731no—
1476C22⋊C4—731no—
1477C22⋊C4—731no—
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⋊C4—1461no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—1461no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42C23×D7311yescharacteristic
1515C42C23×D7311yescharacteristic
1516C42C23×D7311yescharacteristic
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—2922no—
1521C23—2922no—
1522C23—2922no—
1523C23—2922no—
1524C23—5841no—
1525C23—5841no—
1526C23—5841no—
1527C23—5841no—
1528C23—5841no—
1529C23—731no—
1530C23—731no—
1531C23—731no—
1532C23—1461no—
1533Q8—21no—
1534Q8—21no—
1535Q8—41no—
1536Q8—81no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—5841no—
1540Q8—1461no—
1541Q8—1461no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—21no—
1547D4—21no—
1548D4—42no—
1549D4—81no—
1550D4—81no—
1551D4—81no—
1552D4—81no—
1553D4—81no—
1554D4—2921no—
1555D4—2922no—
1556D4—2922no—
1557D4—2922no—
1558D4—2922no—
1559D4—2922no—
1560D4—5841no—
1561D4—5841no—
1562D4—5841no—
1563D4—5841no—
1564D4—732no—
1565D4—1462no—
1566D4—1462no—
1567D4—1461no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—42no—
1574C2×C4—81no—
1575C2×C4—81no—
1576C2×C4—2922no—
1577C2×C4—2921no—
1578C2×C4—2922no—
1579C2×C4—5841no—
1580C2×C4—5841no—
1581C2×C4—5841no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—731no—
1590C2×C4—731no—
1591C2×C4—731no—
1592C2×C4—731no—
1593C2×C4—731no—
1594C2×C4—1462no—
1595C2×C4—1461no—
1596C2×C4—1461no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4C2×D4×D7311yescharacteristic
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C2×D4×D7311yescharacteristic
1614C2×C4C24×D7311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C8—1461no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—2921no—
1633C22—2921no—
1634C22—5844no—
1635C22—732no—
1636C22—11682no—
1637C22—11682no—
1638C22—1461no—
1639C22—1461no—
1640C22—1462no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22—1461no—
1645C22—1461no—
1646C22—1461no—
1647C22C22×D4×D7311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—2921no—
1664C4—2921no—
1665C4—2921no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C4—1461no—
1670C4—1461no—
1671C42−1+4×D7311yescharacteristic
1672C4#1798942311yescharacteristic
1673C2—81no—
1674C2—81no—
1675C2—81no—
1676C2—2922no—
1677C2—2921no—
1678C2—2921no—
1679C2—1462no—
1680C2#2262361011yescharacteristic
1681C2#577×D7311yescharacteristic
1682C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3368C2
socleC22×C73C23×D4
prime radical#22623962C2
hypercenter#3368D73
hypocenterC73#62164
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3368

Complements

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

NH ≅ G/Ntype
1. #22624527C2semidirect
3. #22622878C2semidirect
4. #22622870C2semidirect
5. #22622656C2semidirect
6. #22622451C2semidirect
7. #22622443C2semidirect
8. #22622421C2semidirect
9. #22622413C2semidirect
10. #22622317C2semidirect
11. #22622315C2semidirect
12. #22621959C2semidirect
13. #22621959C2semidirect
14. #22621951C2semidirect
15. #22621951C2semidirect
16. #22621758C2semidirect
17. #22621754C2semidirect
18. #22621375C2semidirect
19. #22621375C2semidirect
20. #22621245C2semidirect
21. #22621179C2semidirect
22. #22621177C2semidirect
23. #22621116C2semidirect
24. #22620182C2semidirect
25. #22620180C2semidirect
26. #22620028C2semidirect
27. #22619761C2semidirect
28. #22619755C2semidirect
29. #478×D73C2semidirect
30. #22619069C2semidirect
31. C73×#3368C2semidirect
34. #17989315C22semidirect
36. #17989298C22semidirect
38. #17989297C22semidirect
43. #17989278C22semidirect
44. #17989278C22semidirect
45. #17989275C22semidirect
46. #17989275C22semidirect
54. #17989217C22semidirect
56. #17989214C22semidirect
59. #17989195C22semidirect
60. #17989195C22semidirect
66. #17989141C22semidirect
69. #125×D73C22semidirect
75. #17988997C22semidirect
76. #17988996C22semidirect
77. #17988996C22semidirect
78. #17988993C22semidirect
79. #17988989C22semidirect
80. #17988986C22semidirect
81. #17988951C22semidirect
82. #17988951C22semidirect
83. #17988933C22semidirect
84. #17988931C22semidirect
85. #17988930C22semidirect
86. #17988927C22semidirect
87. #17988926C22semidirect
88. #17988924C22semidirect
89. #17988921C22semidirect
90. #17988910C22semidirect
91. #17988910C22semidirect
92. #17988909C22semidirect
93. #17988909C22semidirect
94. #17988904C22semidirect
95. #17988904C22semidirect
96. #17988904C22semidirect
97. #17988904C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988899C22semidirect
101. #17988899C22semidirect
102. #17988895C22semidirect
103. #17988895C22semidirect
104. #17988894C22semidirect
105. #17988894C22semidirect
107. #17988889C22semidirect
108. #17988889C22semidirect
109. #17988889C22semidirect
112. #17988887C22semidirect
113. #17988887C22semidirect
115. #17988885C22semidirect
116. #17988885C22semidirect
117. #17988885C22semidirect
121. #17988875C22semidirect
122. #17988875C22semidirect
124. #17988873C22semidirect
125. #17988872C22semidirect
126. #17988867C22semidirect
128. #17988865C22semidirect
129. #17988832C22semidirect
130. #17988832C22semidirect
131. #17988830C22semidirect
132. #17988830C22semidirect
133. #17988815C22semidirect
134. #17988815C22semidirect
135. #17988815C22semidirect
136. #17988815C22semidirect
137. #17988813C22semidirect
138. #17988813C22semidirect
139. #17988813C22semidirect
140. #17988813C22semidirect
142. #17988790C22semidirect
143. #17988790C22semidirect
144. #17988790C22semidirect
145. #17988784C22semidirect
146. #17988784C22semidirect
147. #17988784C22semidirect
154. #17988718C22semidirect
157. #17988687C22semidirect
158. #17988687C22semidirect
163. C4×#11924016C22semidirect
164. #17988660C22semidirect
165. #17988660C22semidirect
166. #17988657C22semidirect
167. #17988657C22semidirect
168. C8×D292C22semidirect
169. #17988652C22semidirect
170. #17988649C22semidirect
171. #17988646C22semidirect
172. #17988642C22semidirect
173. #17988628C22semidirect
174. #17988628C22semidirect
175. #17988624C22semidirect
176. #17988622C22semidirect
177. #107×D73C22semidirect
178. #106×D73C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
188. #557×C73C22semidirect
190. #490×C73C22semidirect
191. #490×C73C22semidirect
192. #486×C73C22semidirect
193. #478×C73C22semidirect
194. #478×C73C22semidirect
195. #474×C73C22semidirect
196. #460×C73C22semidirect
197. #460×C73C22semidirect
198. #460×C73C22semidirect
199. #446×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. C4×SD16×C73C22semidirect
847. #3368D73semidirect
873. C73#62164semidirect
877. #557C2×D73semidirect
927. #490C2×D73semidirect
928. #490C2×D73semidirect
930. #486C2×D73semidirect
967. #478C2×D73semidirect
968. #478C2×D73semidirect
978. #474C2×D73semidirect
998. #460C2×D73semidirect
999. #460C2×D73semidirect
1000. #460C2×D73semidirect
1008. #446C2×D73semidirect
1015. #440C2×D73semidirect
1016. #440C2×D73semidirect
1020. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245272
#226239622
#226228782
#226228702
#226226562
#226224512
#226224432
#226224212
#226224132
#226223172
#226223152
#226219592
#226219512
#226217582
#226217542
#226213752
#226212452
#226211792
#226211772
#226211162
#226201822
#226201802
#226200282
#226197612
#226197552
#478×D732
#226190692
C73×#33682
#6216473