Finite Group Databasebeta

← #33982690

Subgroups — #33982690

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#22624272C211yesmaximal, characteristic, complemented
2#22623870C211yesmaximal, characteristic, complemented
3#22622885C211yesmaximal, characteristic, complemented
4#22622843C211yesmaximal, characteristic, complemented
5#22622741C211yesmaximal, characteristic, complemented
6#22622436C211yesmaximal, characteristic, complemented
7#22622413C211yesmaximal, characteristic, complemented
8#22622378C211yesmaximal, characteristic, complemented
9#22622376C211yesmaximal, characteristic, complemented
10#22622296C211yesmaximal, characteristic, complemented
11#22622280C211yesmaximal, characteristic, complemented
12#22622094C211yesmaximal, characteristic, complemented
13#22622011C211yesmaximal, characteristic, complemented
14#22621951C211yesmaximal, characteristic, complemented
15#22621899C211yesmaximal, characteristic, complemented
16#22621765C211yesmaximal, characteristic, complemented
17#22621747C211yesmaximal, characteristic, complemented
18#22621389C211yesmaximal, characteristic, complemented
19#22621338C211yesmaximal, characteristic, complemented
20#22621280C211yesmaximal, characteristic, complemented
21#22621207C211yesmaximal, characteristic, complemented
22#22621179C211yesmaximal, characteristic, complemented
23#22621148C211yesmaximal, characteristic, complemented
24#22620191C211yesmaximal, characteristic, complemented
25#22620111C211yesmaximal, characteristic, complemented
26#22620067C211yesmaximal, characteristic, complemented
27#22619785C211yesmaximal, characteristic, complemented
28#22619761C211yesmaximal, characteristic, complemented
29#474×D73C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3370C211yesmaximal, characteristic, complemented
32#17989338—21no—
33#17989338—21no—
34Q8×Dic146C2211yescharacteristic, complemented
35#17989302C2211yescharacteristic, complemented
36#17989298C2211yescharacteristic, complemented
37#17989297C2211yescharacteristic
38#17989287C2211yescharacteristic
39#17989282—21no—
40#17989278C2211yescharacteristic
41#17989275C2211yescharacteristic
42#17989275C2211yescharacteristic, complemented
43#17989271—21no—
44#17989267—21no—
45#17989266—21no—
46#17989242C2211yescharacteristic
47#17989242C2211yescharacteristic
48#17989242C2211yescharacteristic, complemented
49#17989238—21no—
50#17989230C2211yescharacteristic
51#17989230C2211yescharacteristic
52#17989229—21no—
53#17989222C2211yescharacteristic
54#17989218—21no—
55#17989217C2211yescharacteristic, complemented
56#17989217C2211yescharacteristic, complemented
57#17989210—21no—
58#17989206C2211yescharacteristic
59#17989202C2211yescharacteristic, complemented
60#17989202C2211yescharacteristic, complemented
61#17989191C2211yescharacteristic
62#17989180—21no—
63#17989171—21no—
64#17989160—21no—
65#17989160—21no—
66C4⋊Q8×D73C2211yescharacteristic, complemented
67#17989124C2211yescharacteristic
68#17989119C2211yescharacteristic, complemented
69#17989116C2211yescharacteristic
70#17989096—21no—
71#123×D73—21no—
72#17989069C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988996C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988992C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988946C2211yescharacteristic, complemented
82#17988946C2211yescharacteristic, complemented
83#17988933C2211yescharacteristic
84#17988930C2211yescharacteristic, complemented
85#17988927C2211yescharacteristic, complemented
86#17988924C2211yescharacteristic, complemented
87#17988921C2211yescharacteristic, complemented
88#17988919C2211yescharacteristic, complemented
89#17988916C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988910C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic
94#17988909C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic, complemented
96#17988899C2211yescharacteristic
97#17988899C2211yescharacteristic
98#17988899C2211yescharacteristic
99#17988899C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988899C2211yescharacteristic, complemented
102#17988896C2211yescharacteristic, complemented
103#17988895C2211yescharacteristic, complemented
104#17988895C2211yescharacteristic, complemented
105#17988889C2211yescharacteristic, complemented
106#17988887C2211yescharacteristic, complemented
107#17988887C2211yescharacteristic, complemented
108#17988886C2211yescharacteristic
109#17988885C2211yescharacteristic, complemented
110#17988884C2211yescharacteristic
111#17988884C2211yescharacteristic
112#17988883C2211yescharacteristic, complemented
113#17988882C2211yescharacteristic, complemented
114#17988880C2211yescharacteristic, complemented
115#17988880C2211yescharacteristic, complemented
116#17988878C2211yescharacteristic
117#17988875C2211yescharacteristic, complemented
118#17988875C2211yescharacteristic, complemented
119#17988868C2211yescharacteristic
120#17988868C2211yescharacteristic
121#17988867C2211yescharacteristic, complemented
122#17988867C2211yescharacteristic, complemented
123#17988867C2211yescharacteristic, complemented
124#17988866C2211yescharacteristic
125#17988866C2211yescharacteristic
126#17988865C2211yescharacteristic, complemented
127#17988865C2211yescharacteristic, complemented
128#17988864C2211yescharacteristic
129#17988837C2211yescharacteristic, complemented
130#17988832C2211yescharacteristic
131#17988832C2211yescharacteristic, complemented
132#17988830C2211yescharacteristic, complemented
133#17988827C2211yescharacteristic, complemented
134#17988827C2211yescharacteristic, complemented
135#17988820C2211yescharacteristic
136#17988820C2211yescharacteristic
137#17988820C2211yescharacteristic, complemented
138#17988815C2211yescharacteristic
139#17988815C2211yescharacteristic, complemented
140#17988813C2211yescharacteristic, complemented
141#17988807C2211yescharacteristic, complemented
142#17988806C2211yescharacteristic, complemented
143#17988806C2211yescharacteristic, complemented
144#17988801C2211yescharacteristic
145#17988800C2211yescharacteristic, complemented
146#17988800C2211yescharacteristic, complemented
147#17988784C2211yescharacteristic
148#17988752C2211yescharacteristic
149#17988739C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988731C2211yescharacteristic
152#17988719C2211yescharacteristic
153#17988719C2211yescharacteristic
154#17988718C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic
156#17988697C2211yescharacteristic
157#17988689C2211yescharacteristic
158#17988689C2211yescharacteristic
159#17988687C2211yescharacteristic, complemented
160#17988687C2211yescharacteristic, complemented
161C4×#11924018C2211yescharacteristic, complemented
162C4×#11924017C2211yescharacteristic
163C4×#11924013C2211yescharacteristic
164#17988660C2211yescharacteristic
165#17988660C2211yescharacteristic, complemented
166#17988657C2211yescharacteristic, complemented
167#17988657C2211yescharacteristic, complemented
168C8×D292C2211yescharacteristic, complemented
169#17988652C2211yescharacteristic
170#17988649C2211yescharacteristic, complemented
171#17988646C2211yescharacteristic, complemented
172#17988642C2211yescharacteristic, complemented
173#17988628C2211yescharacteristic, complemented
174#17988626C2211yescharacteristic, complemented
175#17988622C2211yescharacteristic, complemented
176#107×D73C2211yescharacteristic, complemented
177#107×D73C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988587C2211yescharacteristic
184#17988582C2211yescharacteristic
185#102×D73C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#559×C73C2211yescharacteristic
189#554×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic
191#489×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#478×C73C2211yescharacteristic, complemented
195#474×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic
199#446×C73C2211yescharacteristic, complemented
200#442×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×D8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×Q8×D73—21no—
208C2×D4×D73—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C2×#11924018C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
214C2×#11924016C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924013C2311yescharacteristic
217C2×#11924011C2311yescharacteristic
218C2×#11924011C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220C2×C8×D73C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223#14556591C2311yescharacteristic
224#14556591C2311yescharacteristic
225#14556591C2311yescharacteristic
226#14556591C2311yescharacteristic
227#14556590—21no—
228#14556590—21no—
229#14556590—21no—
230#14556590—21no—
231#14556590—21no—
232#14556590—21no—
233#14556590C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556589—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586D411yescharacteristic
239#14556586D411yescharacteristic
240#14556585—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556583C2311yescharacteristic
248#14556583C2311yescharacteristic
249#14556582—21no—
250#14556582—21no—
251#14556582—21no—
252#14556582D411yescharacteristic
253#14556582C2311yescharacteristic
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556580D411yescharacteristic
258#14556578C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576D411yescharacteristic
268#14556576D411yescharacteristic
269#14556575—21no—
270#14556574—21no—
271#14556574—21no—
272#14556574—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556572—21no—
285#14556571—21no—
286#14556571—21no—
287#14556571C2311yescharacteristic
288#14556571C2311yescharacteristic
289#14556571C2311yescharacteristic
290#14556570—21no—
291#14556570—21no—
292#14556570—21no—
293#14556570—21no—
294#14556570—21no—
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556568—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567D411yescharacteristic
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556566D411yescharacteristic
307#14556565—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556563—21no—
312#14556563—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556562C2311yescharacteristic
319#14556562C2311yescharacteristic
320#14556562C2311yescharacteristic
321#14556561—21no—
322#14556561—21no—
323#14556559—21no—
324#14556559—21no—
325Q8×Dic73—21no—
326Q8×Dic73C2311yescharacteristic
327C4×Dic146C2311yescharacteristic
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330C4×D292—21no—
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553C2311yescharacteristic
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556550—21no—
350#14556550—21no—
351#14556549—21no—
352#14556549—21no—
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556548—21no—
357#14556548—21no—
358#14556548C2311yescharacteristic
359#14556548C2311yescharacteristic
360#14556547—21no—
361C4⋊C4×D73—21no—
362C4⋊C4×D73—21no—
363C4⋊C4×D73—21no—
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C2×#11924005—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C42×D73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
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×SD16×C73C2311yescharacteristic
436C2×D8×C73C2311yescharacteristic
437C2×D8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#127×C73C2311yescharacteristic
440#125×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442#124×C73—21no—
443#124×C73C2311yescharacteristic
444#124×C73C2311yescharacteristic
445#123×C73—21no—
446#123×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73—21no—
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C2×C4⋊C4×C73—21no—
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462C4⋊C8×C73C2311yescharacteristic
463C4⋊C8×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465#103×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×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—
480#11924029—22no—
481#11924029—41no—
482#11924028—82no—
483#11924028—82no—
484#11924028—82no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2411yescharacteristic
492Q8×D73—82no—
493C2×D292—21no—
494C2×D292C2×D411yescharacteristic
495C2×D292C2×D411yescharacteristic
496C2×D292C2×D411yescharacteristic
497C2×D292C2411yescharacteristic
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
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⋊D73—21no—
507D4×D73—22no—
508D4×D73—22no—
509D4×D73—41no—
510D4×D73—41no—
511D4×D73—82no—
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—21no—
525C2×C4×D73—82no—
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2411yescharacteristic
529C2×C4×D73C2411yescharacteristic
530C2×C4×D73C2411yescharacteristic
531#11924018—41no—
532#11924017—22no—
533#11924016—41no—
534#11924016—41no—
535#11924013—22no—
536#11924011—41no—
537#11924011—41no—
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
542C8×D73—41no—
543C8×D73—41no—
544C8×D73—41no—
545C8×D73—41no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73C2×D411yescharacteristic
556C4⋊Dic73C2×D411yescharacteristic
557C4⋊Dic73C2×D411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
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⋊Dic73—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#11924005—21no—
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
618#11924005C2×D411yescharacteristic
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73C2×D411yescharacteristic
627C4×Dic73C2×D411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C2×Q8×C73—21no—
630C2×Q8×C73C2×D411yescharacteristic
631C2×Q8×C73C2411yescharacteristic
632C2×D4×C73—21no—
633C2×D4×C73—21no—
634C2×D4×C73C2411yescharacteristic
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—
642SD16×C73—41no—
643D8×C73—41no—
644D8×C73—41no—
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
647C2×C8×C73C2411yescharacteristic
648C2×C8×C73C2411yescharacteristic
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73C2×D411yescharacteristic
656C4⋊C4×C73C2×D411yescharacteristic
657C4⋊C4×C73C2×D411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
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—
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—81no—
683C22×D73—81no—
684C22×D73—81no—
685C22×D73C22×D411yescharacteristic
686C22×D73C22×D411yescharacteristic
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690Q8×C73—41no—
691Q8×C73—81no—
692D4×C73—21no—
693D4×C73—21no—
694D4×C73—21no—
695D4×C73—21no—
696D4×C73—21no—
697D4×C73—21no—
698D4×C73—81no—
699D4×C73—81no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—42no—
706C2×C4×C73—81no—
707C2×C4×C73—81no—
708C2×C4×C73—81no—
709C2×C4×C73—81no—
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C2511yescharacteristic
717C22⋊D73—42no—
718C22⋊D73—42no—
719C22⋊D73—42no—
720C22⋊D73—42no—
721C22⋊D73—81no—
722C22⋊D73—81no—
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—21no—
733C2×Dic73—81no—
734C2×Dic73—81no—
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740D292—22no—
741D292—22no—
742D292—21no—
743D292—41no—
744D292—42no—
745D2922−1+412yes—
746C4×D73—22no—
747C4×D73—21no—
748C4×D73—21no—
749C4×D73—21no—
750C4×D73—21no—
751C4×D73—21no—
752C4×D73—21no—
753C4×D73—41no—
754C4×D73—42no—
755C4×D73—42no—
756C4×D73—42no—
757C4×D73—42no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765Dic146—21no—
766Dic146—21no—
767Dic146—81no—
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—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#57612yes—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—21no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73C2×2−1+411yescharacteristic
817C4×C73#58511yescharacteristic
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62155—731nomaximal, Sylow
831C2×C73—81no—
832C2×C73—81no—
833C2×C73—81no—
834C2×C73#348911yescharacteristic
835C2×C73C2×#57611yescharacteristic
836C2×C73#358611yescharacteristic
837D73—22no—
838D73—41no—
839D73—41no—
840D73—42no—
841#3544—731no—
842#3513—731no—
843#3389—731no—
844#3385—731no—
845#3375—731no—
846#3370D7311yescharacteristic, complemented
847#3347—731no—
848#3346—731no—
849#3343—731no—
850#3343—731no—
851#3336—731no—
852#3334—731no—
853#3319—731no—
854#3314—731no—
855#3310—731no—
856#3306—731no—
857#3296—731no—
858#3294—731no—
859#3262—731no—
860#3257—731no—
861#3250—731no—
862#3243—731no—
863#3241—731no—
864#3238—731no—
865#3124—731no—
866#3118—731no—
867#3114—731no—
868#3083—731no—
869#3081—731no—
870C2×#474—731no—
871#2992—731no—
872C73#6215511yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559C2×D7311yescharacteristic
876Q82—731no—
877#555—731no—
878#554—731no—
879#554—731no—
880#554C2×D7311yescharacteristic, complemented
881#553—731no—
882#553—1461no—
883#552—731no—
884#552—731no—
885#552—731no—
886#552—1461no—
887#551—1461no—
888#551—1461no—
889#547—731no—
890#547—731no—
891#547—731no—
892#547—1461no—
893#546—731no—
894#546—731no—
895#546—1461no—
896D42—731no—
897#544—731no—
898#544—731no—
899#544—1461no—
900#542—731no—
901#542—731no—
902#542—731no—
903#542—1461no—
904#540—731no—
905#539—1461no—
906#538—1461no—
907#536—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#501—731no—
922#500—731no—
923#499—731no—
924#490C2×D7311yescharacteristic
925#489—731no—
926#489—731no—
927#489C2×D7311yescharacteristic, complemented
928#488C2×D7311yescharacteristic, complemented
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#482—731no—
941#481—731no—
942#480—731no—
943#480—731no—
944#480—731no—
945#480—731no—
946#480—731no—
947#480—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479C2×D7311yescharacteristic, complemented
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#477—731no—
961#477—731no—
962#477—731no—
963#477—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#474—731no—
972#474—731no—
973#474—731no—
974#474—731no—
975#474—731no—
976#474—731no—
977#474C2×D7311yescharacteristic, complemented
978#469—731no—
979#468—731no—
980#468—731no—
981#468—731no—
982#467—731no—
983#467—731no—
984#466—731no—
985#466—731no—
986#466—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#463C2×D7311yescharacteristic, complemented
997#463C2×D7311yescharacteristic, complemented
998#460—731no—
999#459C2×D7311yescharacteristic
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449—731no—
1004#447—731no—
1005#447—731no—
1006#446—731no—
1007#446C2×D7311yescharacteristic, complemented
1008#442—731no—
1009#442—731no—
1010#442C2×D7311yescharacteristic, complemented
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440C2×D7311yescharacteristic, complemented
1016C4×Q16—731no—
1017C4×SD16—731no—
1018C4×D8—731no—
1019C4×D8C2×D7311yescharacteristic, complemented
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024C8×D4—731no—
1025C8×D4—731no—
1026#433—731no—
1027#433—731no—
1028#432—731no—
1029#428—731no—
1030#428—731no—
1031#427—731no—
1032C2×#107—731no—
1033C2×#107—731no—
1034C2×#107—731no—
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—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C2×#41—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×SD16C22×D7311yescharacteristic
1058C2×D8—731no—
1059C2×D8C22×D7311yescharacteristic
1060C2×D8C22×D7311yescharacteristic
1061C2×M16—731no—
1062C2×M16—731no—
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8—731no—
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⋊Q8—1461no—
1079C4⋊Q8—1461no—
1080C4⋊Q8C22×D7311yescharacteristic
1081#127C22×D7311yescharacteristic
1082#126—731no—
1083#126—731no—
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—1461no—
1098#125—1461no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125C22×D7311yescharacteristic
1104#125C22×D7311yescharacteristic
1105#124—21no—
1106#124—731no—
1107#124—731no—
1108#124—1461no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124C22×D7311yescharacteristic
1114#124C22×D7311yescharacteristic
1115#123—21no—
1116#123—21no—
1117#123—731no—
1118#123—731no—
1119#123—1461no—
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—
1136#123—1461no—
1137#123—1461no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—731no—
1146C22⋊Q8—731no—
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—
1161C22⋊Q8—1461no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—731no—
1167#121—731no—
1168#121—731no—
1169#121—731no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#121—1461no—
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—1461no—
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×D4—21no—
1189C4×D4—731no—
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—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4C22×D7311yescharacteristic
1209C4×D4C22×D7311yescharacteristic
1210C4×D4C22×D7311yescharacteristic
1211C4×D4C22×D7311yescharacteristic
1212C4×D4C22×D7311yescharacteristic
1213#117—731no—
1214#117—731no—
1215#117—731no—
1216#117—731no—
1217#117—731no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117—1461no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225C2×C4⋊C4—21no—
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—731no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4—1461no—
1234C2×C4⋊C4—1461no—
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#107—731no—
1247#107—731no—
1248#107—731no—
1249#107—731no—
1250#107—731no—
1251#107—731no—
1252#107—731no—
1253#107—731no—
1254#107—731no—
1255#107C22×D7311yescharacteristic
1256#107C22×D7311yescharacteristic
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106—731no—
1263#106—731no—
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⋊C8C22×D7311yescharacteristic
1273C4⋊C8C22×D7311yescharacteristic
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#103C22×D7311yescharacteristic
1283#103C22×D7311yescharacteristic
1284#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
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⋊C8—731no—
1312C22⋊C8—731no—
1313#97—731no—
1314#97—731no—
1315#97C22×D7311yescharacteristic
1316#97C22×D7311yescharacteristic
1317C4×C8—731no—
1318C4×C8C22×D7311yescharacteristic
1319C24—1461no—
1320C24—1461no—
1321#41—2921no—
1322#41—5842no—
1323#41—5842no—
1324#41—5842no—
1325#41—1462no—
1326C2×Q8—21no—
1327C2×Q8—5842no—
1328C2×Q8—731no—
1329C2×Q8—1461no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8D4×D7311yescharacteristic
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—2921no—
1340C2×D4—2921no—
1341C2×D4—5842no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1462no—
1350C2×D4—1462no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4C23×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—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—
1384C22×C4—1461no—
1385Q16—2921no—
1386SD16—41no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—41no—
1391D8—41no—
1392D8—1462no—
1393M16—2921no—
1394M16—2921no—
1395C2×C8—2921no—
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⋊C4D4×D7311yescharacteristic
1455C4⋊C4D4×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—21no—
1468C22⋊C4—21no—
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—731no—
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—
1501C22⋊C4—1461no—
1502C42—21no—
1503C42—731no—
1504C42—731no—
1505C42—731no—
1506C42—1461no—
1507C42—1461no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42C23×D7311yescharacteristic
1514C42C23×D7311yescharacteristic
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—2922no—
1520C23—2922no—
1521C23—2922no—
1522C23—5841no—
1523C23—5841no—
1524C23—5841no—
1525C23—731no—
1526C23—731no—
1527C23—731no—
1528C23—1461no—
1529Q8—21no—
1530Q8—21no—
1531Q8—41no—
1532Q8—81no—
1533Q8—5841no—
1534Q8—5841no—
1535Q8—5841no—
1536Q8—5841no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—1461no—
1540Q8—1461no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—21no—
1547D4—81no—
1548D4—81no—
1549D4—2921no—
1550D4—2922no—
1551D4—2922no—
1552D4—2922no—
1553D4—2922no—
1554D4—2922no—
1555D4—5841no—
1556D4—5841no—
1557D4—5841no—
1558D4—5841no—
1559D4—5841no—
1560D4—732no—
1561D4—1462no—
1562D4—1462no—
1563D4—1461no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—42no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—2921no—
1575C2×C4—2922no—
1576C2×C4—2922no—
1577C2×C4—2922no—
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—731no—
1589C2×C4—731no—
1590C2×C4—731no—
1591C2×C4—731no—
1592C2×C4—731no—
1593C2×C4—1462no—
1594C2×C4—1461no—
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×C4C2×D4×D7311yescharacteristic
1608C2×C4C2×D4×D7311yescharacteristic
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—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—2921no—
1632C22—2921no—
1633C22—5844no—
1634C22—732no—
1635C22—11682no—
1636C22—1462no—
1637C22—1461no—
1638C22—1461no—
1639C22—1461no—
1640C22—1461no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22—1461no—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—2921no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C42−1+4×D7311yescharacteristic
1670C4#1798942311yescharacteristic
1671C2—81no—
1672C2—81no—
1673C2—81no—
1674C2—2922no—
1675C2—2921no—
1676C2—2921no—
1677C2—1462no—
1678C2#2262361011yescharacteristic
1679C2#576×D7311yescharacteristic
1680C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3370C2
socleC22×C73C23×D4
hypercenter#3370D73
hypocenterC73#62155
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3370

Complements

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

NH ≅ G/Ntype
1. #22624272C2semidirect
2. #22623870C2semidirect
3. #22622885C2semidirect
4. #22622843C2semidirect
5. #22622741C2semidirect
6. #22622436C2semidirect
7. #22622413C2semidirect
8. #22622378C2semidirect
9. #22622376C2semidirect
10. #22622296C2semidirect
11. #22622280C2semidirect
12. #22622094C2semidirect
13. #22622011C2semidirect
14. #22621951C2semidirect
15. #22621899C2semidirect
16. #22621765C2semidirect
17. #22621747C2semidirect
18. #22621389C2semidirect
19. #22621338C2semidirect
20. #22621280C2semidirect
21. #22621207C2semidirect
22. #22621179C2semidirect
23. #22621148C2semidirect
24. #22620191C2semidirect
25. #22620111C2semidirect
26. #22620067C2semidirect
27. #22619785C2semidirect
28. #22619761C2semidirect
29. #474×D73C2semidirect
30. #22619069C2semidirect
31. C73×#3370C2semidirect
34. Q8×Dic146C22semidirect
35. #17989302C22semidirect
36. #17989298C22semidirect
42. #17989275C22semidirect
48. #17989242C22semidirect
55. #17989217C22semidirect
56. #17989217C22semidirect
59. #17989202C22semidirect
60. #17989202C22semidirect
66. C4⋊Q8×D73C22semidirect
68. #17989119C22semidirect
75. #17988997C22semidirect
76. #17988996C22semidirect
77. #17988996C22semidirect
78. #17988993C22semidirect
79. #17988992C22semidirect
80. #17988986C22semidirect
81. #17988946C22semidirect
82. #17988946C22semidirect
84. #17988930C22semidirect
85. #17988927C22semidirect
86. #17988924C22semidirect
87. #17988921C22semidirect
88. #17988919C22semidirect
89. #17988916C22semidirect
90. #17988916C22semidirect
91. #17988910C22semidirect
92. #17988910C22semidirect
94. #17988909C22semidirect
95. #17988904C22semidirect
99. #17988899C22semidirect
100. #17988899C22semidirect
101. #17988899C22semidirect
102. #17988896C22semidirect
103. #17988895C22semidirect
104. #17988895C22semidirect
105. #17988889C22semidirect
106. #17988887C22semidirect
107. #17988887C22semidirect
109. #17988885C22semidirect
112. #17988883C22semidirect
113. #17988882C22semidirect
114. #17988880C22semidirect
115. #17988880C22semidirect
117. #17988875C22semidirect
118. #17988875C22semidirect
121. #17988867C22semidirect
122. #17988867C22semidirect
123. #17988867C22semidirect
126. #17988865C22semidirect
127. #17988865C22semidirect
129. #17988837C22semidirect
131. #17988832C22semidirect
132. #17988830C22semidirect
133. #17988827C22semidirect
134. #17988827C22semidirect
137. #17988820C22semidirect
139. #17988815C22semidirect
140. #17988813C22semidirect
141. #17988807C22semidirect
142. #17988806C22semidirect
143. #17988806C22semidirect
145. #17988800C22semidirect
146. #17988800C22semidirect
154. #17988718C22semidirect
159. #17988687C22semidirect
160. #17988687C22semidirect
161. C4×#11924018C22semidirect
165. #17988660C22semidirect
166. #17988657C22semidirect
167. #17988657C22semidirect
168. C8×D292C22semidirect
170. #17988649C22semidirect
171. #17988646C22semidirect
172. #17988642C22semidirect
173. #17988628C22semidirect
174. #17988626C22semidirect
175. #17988622C22semidirect
176. #107×D73C22semidirect
177. #107×D73C22semidirect
178. #107×D73C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
189. #554×C73C22semidirect
191. #489×C73C22semidirect
192. #488×C73C22semidirect
193. #479×C73C22semidirect
194. #478×C73C22semidirect
195. #474×C73C22semidirect
196. #463×C73C22semidirect
197. #463×C73C22semidirect
199. #446×C73C22semidirect
200. #442×C73C22semidirect
201. #440×C73C22semidirect
202. C4×D8×C73C22semidirect
846. #3370D73semidirect
872. C73#62155semidirect
880. #554C2×D73semidirect
927. #489C2×D73semidirect
928. #488C2×D73semidirect
951. #479C2×D73semidirect
959. #478C2×D73semidirect
977. #474C2×D73semidirect
996. #463C2×D73semidirect
997. #463C2×D73semidirect
1007. #446C2×D73semidirect
1010. #442C2×D73semidirect
1015. #440C2×D73semidirect
1019. C4×D8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242722
#226238702
#226228852
#226228432
#226227412
#226224362
#226224132
#226223782
#226223762
#226222962
#226222802
#226220942
#226220112
#226219512
#226218992
#226217652
#226217472
#226213892
#226213382
#226212802
#226212072
#226211792
#226211482
#226201912
#226201112
#226200672
#226197852
#226197612
#474×D732
#226190692
C73×#33702
#6215573