Finite Group Databasebeta

← #33969117

Subgroups — #33969117

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624043C211yesmaximal, characteristic, complemented
2#22623962C211yesmaximal, characteristic, complemented
3#22622973C211yesmaximal, characteristic, complemented
4#22622870C211yesmaximal, characteristic, complemented
5#22622686C211yesmaximal, characteristic, complemented
6#22622498C211yesmaximal, characteristic, complemented
7#22622438C211yesmaximal, characteristic, complemented
8#22622428C211yesmaximal, characteristic, complemented
9#22622189C211yesmaximal, characteristic, complemented
10#22622172C211yesmaximal, characteristic, complemented
11#22622122C211yesmaximal, characteristic, complemented
12#22622071C211yesmaximal, characteristic, complemented
13#22621951C211yesmaximal, characteristic, complemented
14#22621942C211yesmaximal, characteristic, complemented
15#22621546C211yesmaximal, characteristic, complemented
16#22621421C211yesmaximal, characteristic, complemented
17#22621421C211yesmaximal, characteristic, complemented
18#22620621C211yesmaximal, characteristic, complemented
19#22620580C211yesmaximal, characteristic, complemented
20#22620525C211yesmaximal, characteristic, complemented
21#22620220C211yesmaximal, characteristic, complemented
22#22620176C211yesmaximal, characteristic, complemented
23#22620129C211yesmaximal, characteristic, complemented
24#22620122C211yesmaximal, characteristic, complemented
25#22620081C211yesmaximal, characteristic, complemented
26#22620074C211yesmaximal, characteristic, complemented
27#22618915C211yesmaximal, characteristic, complemented
28#22618787C211yesmaximal, characteristic, complemented
29#22618758C211yesmaximal, characteristic, complemented
30#22618736C211yesmaximal, characteristic, complemented
31C73×#3368C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989322—21no—
36#17989322C2211yescharacteristic, complemented
37#17989303—21no—
38#17989303C2211yescharacteristic, complemented
39#17989302C2211yescharacteristic
40#17989297C2211yescharacteristic
41#17989290—21no—
42#17989290C2211yescharacteristic, complemented
43#17989287C2211yescharacteristic
44#17989287C2211yescharacteristic
45#17989284—21no—
46#17989275—21no—
47#17989275C2211yescharacteristic, complemented
48#17989259C2211yescharacteristic, complemented
49#17989249C2211yescharacteristic, complemented
50#17989249C2211yescharacteristic, complemented
51#17989226—21no—
52#17989226—21no—
53#17989225—21no—
54#17989222C2211yescharacteristic
55#17989222C2211yescharacteristic
56#17989222C2211yescharacteristic
57#17989211—21no—
58#17989211C2211yescharacteristic, complemented
59#17989193—21no—
60#17989193C2211yescharacteristic, complemented
61#17989191C2211yescharacteristic
62#17989191C2211yescharacteristic
63#17989169—21no—
64#17989169—21no—
65#17989135C2211yescharacteristic
66#17989124—21no—
67#17989124C2211yescharacteristic
68#17989122—21no—
69#17989122C2211yescharacteristic, complemented
70#17989094—21no—
71#121×D73—21no—
72#17989069C2211yescharacteristic, complemented
73#17989063C2211yescharacteristic, complemented
74#17989059C2211yescharacteristic
75#17989059C2211yescharacteristic
76C4×#11924029C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988974C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic, complemented
83#17988963C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988942C2211yescharacteristic, complemented
87#17988930C2211yescharacteristic, complemented
88#17988919C2211yescharacteristic, complemented
89#17988914C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988910C2211yescharacteristic, complemented
93#17988909C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988894C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic
104#17988884C2211yescharacteristic
105#17988874C2211yescharacteristic
106#17988872C2211yescharacteristic, complemented
107#17988868C2211yescharacteristic, complemented
108#17988839C2211yescharacteristic, complemented
109#17988839C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988832C2211yescharacteristic, complemented
114#17988832C2211yescharacteristic, complemented
115#17988832C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988822C2211yescharacteristic, complemented
118#17988822C2211yescharacteristic, complemented
119#17988815C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic
121#17988803C2211yescharacteristic
122#17988802C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988784C2211yescharacteristic, complemented
125#17988783C2211yescharacteristic
126#17988782C2211yescharacteristic, complemented
127#17988779C2211yescharacteristic, complemented
128#17988779C2211yescharacteristic, complemented
129#17988739C2211yescharacteristic
130#17988739C2211yescharacteristic
131#17988731C2211yescharacteristic, complemented
132#17988731C2211yescharacteristic, complemented
133#17988731C2211yescharacteristic, complemented
134#17988731C2211yescharacteristic, complemented
135#17988724C2211yescharacteristic, complemented
136#17988724C2211yescharacteristic, complemented
137#17988722C2211yescharacteristic
138#17988722C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988718C2211yescharacteristic, complemented
142#17988700C2211yescharacteristic
143#17988698C2211yescharacteristic
144#17988697C2211yescharacteristic, complemented
145#17988697C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic, complemented
147#17988696C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic, complemented
149#17988689C2211yescharacteristic
150#17988688C2211yescharacteristic, complemented
151#17988688C2211yescharacteristic, complemented
152#17988686C2211yescharacteristic
153#17988685C2211yescharacteristic
154#17988685C2211yescharacteristic
155#17988684C2211yescharacteristic, complemented
156#17988678C2211yescharacteristic, complemented
157#17988678C2211yescharacteristic, complemented
158SD16×Dic73C2211yescharacteristic, complemented
159C4×#11924015C2211yescharacteristic
160C4×#11924016C2211yescharacteristic, complemented
161#17988672C2211yescharacteristic
162C4×D584C2211yescharacteristic
163#17988669C2211yescharacteristic
164#17988667C2211yescharacteristic, complemented
165#17988667C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988666C2211yescharacteristic, complemented
168#17988664C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173#17988647C2211yescharacteristic, complemented
174#17988647C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988626C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic
181#17988590C2211yescharacteristic
182#17988587C2211yescharacteristic, complemented
183#17988582C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185#17988544C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187#17988539C2211yescharacteristic, complemented
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×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924027—21no—
206C2×Q8×D73C2311yescharacteristic
207C2×D4×D73—21no—
208C2×D4×D73—21no—
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214#14556618—24no—
215#14556618—24no—
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221SD16×D73—24no—
222C2×D584C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C2×#11924011C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556591C2311yescharacteristic
237#14556588—21no—
238#14556588C2311yescharacteristic
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586D411yescharacteristic
244#14556586D411yescharacteristic
245#14556584—21no—
246#14556584—21no—
247#14556583C2311yescharacteristic
248#14556583C2311yescharacteristic
249#14556582—21no—
250#14556582D411yescharacteristic
251#14556580—21no—
252#14556580—21no—
253#14556580—21no—
254#14556580—21no—
255#14556580D411yescharacteristic
256#14556579—21no—
257#14556579—21no—
258#14556579C2311yescharacteristic
259#14556579C2311yescharacteristic
260#14556578—21no—
261#14556577—21no—
262#14556577—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576D411yescharacteristic
272#14556576D411yescharacteristic
273#14556574—21no—
274#14556574—21no—
275#14556572—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556571—21no—
280#14556571—21no—
281#14556571C2311yescharacteristic
282#14556571C2311yescharacteristic
283#14556569—21no—
284#14556569—21no—
285#14556567—21no—
286#14556567—21no—
287#14556567D411yescharacteristic
288#14556566—21no—
289#14556566—21no—
290#14556566—21no—
291#14556566—21no—
292#14556566—21no—
293#14556566—21no—
294#14556566—21no—
295#14556566—21no—
296#14556566D411yescharacteristic
297#14556566C2311yescharacteristic
298#14556566C2311yescharacteristic
299#14556566C2311yescharacteristic
300#14556566C2311yescharacteristic
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—
324Q8×Dic73C2311yescharacteristic
325C4×Dic146—21no—
326C4×Dic146C2311yescharacteristic
327#14556556—21no—
328#14556556C2311yescharacteristic
329C4×D292—21no—
330C4×D292—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342D4×Dic73—21no—
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346#14556553—21no—
347#14556553—21no—
348#14556553—21no—
349#14556553—21no—
350#14556553—21no—
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556550—21no—
363#14556549—21no—
364#14556549—21no—
365#14556549—21no—
366#14556549—21no—
367#14556549—21no—
368#14556549C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556548—21no—
373#14556548—21no—
374#14556548C2311yescharacteristic
375#14556548C2311yescharacteristic
376C4⋊C4×D73—21no—
377C4⋊C4×D73—21no—
378C4⋊C4×D73C2311yescharacteristic
379C4⋊C4×D73C2311yescharacteristic
380C2×#11924005—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C42×D73—21no—
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73—21no—
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C4⋊Q8×C73—21no—
443C4⋊Q8×C73C2311yescharacteristic
444#127×C73C2311yescharacteristic
445#127×C73C2311yescharacteristic
446#127×C73C2311yescharacteristic
447#125×C73—21no—
448#125×C73—21no—
449#125×C73C2311yescharacteristic
450#125×C73C2311yescharacteristic
451#121×C73—21no—
452#121×C73—21no—
453#121×C73—21no—
454C4×Q8×C73—21no—
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—22no—
486#11924029—41no—
487#11924029—41no—
488#11924027—82no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2411yescharacteristic
492Q8×D73—22no—
493Q8×D73—41no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292C2×D411yescharacteristic
503C2×D292C2×D411yescharacteristic
504C2×D292C2×D411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517D4×D73—22no—
518D4×D73—22no—
519D4×D73—22no—
520D4×D73—41no—
521D4×D73—41no—
522D4×D73—41no—
523D4×D73—82no—
524D4×D73—82no—
525D4×D73—82no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—82no—
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547C2×C4×D73C2411yescharacteristic
548#11924017—22no—
549#11924016—22no—
550#11924016—41no—
551#11924016—41no—
552#11924015#4114yescomplemented
553D584—22no—
554D584—22no—
555#11924013—22no—
556#11924013—22no—
557#11924013—41no—
558#11924013—41no—
559#11924013—41no—
560#11924013—41no—
561#11924011—22no—
562#11924011—22no—
563#11924011—41no—
564#11924011—41no—
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C8×D73—22no—
570C8×D73—41no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2×D411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—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#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2411yescharacteristic
645#41×C73—82no—
646C2×Q8×C73—21no—
647C2×Q8×C73C2×D411yescharacteristic
648C2×Q8×C73C2411yescharacteristic
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73—21no—
654C2×D4×C73—21no—
655C2×D4×C73C2411yescharacteristic
656C2×D4×C73C2411yescharacteristic
657C2×D4×C73C2411yescharacteristic
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73—21no—
661SD16×C73—22no—
662SD16×C73—22no—
663SD16×C73—22no—
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2×D411yescharacteristic
678C4⋊C4×C73C2×D411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C4⋊C4×C73C2411yescharacteristic
682C4⋊C4×C73C2411yescharacteristic
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73—21no—
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—81no—
703C22×D73—81no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709C22×D73C22×D411yescharacteristic
710Q8×C73—21no—
711Q8×C73—41no—
712Q8×C73—81no—
713Q8×C73C2×#4112yes—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—42no—
721D4×C73—81no—
722D4×C73—81no—
723D4×C73—81no—
724D4×C73—81no—
725D4×C73—81no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—42no—
732C2×C4×C73—81no—
733C2×C4×C73—81no—
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C2511yescharacteristic
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—81no—
756C2×Dic73—81no—
757C2×Dic73—81no—
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763D292—21no—
764D292—21no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—41no—
769D292—41no—
770D292—41no—
771D292—42no—
772D292—42no—
773D292—81no—
774D292—81no—
775D292—81no—
776D292—81no—
777D292—81no—
778D292—81no—
779D292C2×#4112yes—
780C4×D73—21no—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—41no—
787C4×D73—41no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799C4×D73—81no—
800C4×D73—81no—
801Dic146—21no—
802Dic146—21no—
803Dic146—42no—
804Dic146—81no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73—21no—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831C2×#4112yes—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73C23×D411yescharacteristic
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—22no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—84no—
842C2×D73—162no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—21no—
849C4×C73—21no—
850C4×C73—22no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73—41no—
855C4×C73C22×#4111yescharacteristic
856C4×C73#58511yescharacteristic
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—81no—
869C2×C73—81no—
870C2×C73—81no—
871C2×C73D4×#4111yescharacteristic
872C2×C73#358511yescharacteristic
873C2×C73#358511yescharacteristic
874D73—41no—
875D73—41no—
876D73—41no—
877D73—42no—
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368D7311yescharacteristic, complemented
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557C2×D7311yescharacteristic, complemented
918#555—731no—
919#555—731no—
920#555—1461no—
921#554—731no—
922#553—731no—
923#553—731no—
924#553—731no—
925#553—1461no—
926#553—1461no—
927#552—731no—
928#552—1461no—
929#550—731no—
930#550C2×D7311yescharacteristic
931#548—731no—
932#548—731no—
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42—731no—
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—731no—
943#540—731no—
944#540—1461no—
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#525—1461no—
953C2×#121—1461no—
954#520—731no—
955#519—731no—
956#518—731no—
957#518—731no—
958C4×#41—731no—
959C2×C4×D4—731no—
960#501—731no—
961#501—731no—
962#499—731no—
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490C2×D7311yescharacteristic, complemented
968#490C2×D7311yescharacteristic, complemented
969#489—731no—
970#488—731no—
971#486C2×D7311yescharacteristic, complemented
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#481—731no—
982#480—731no—
983#480—731no—
984#479—731no—
985#479—731no—
986#479—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478C2×D7311yescharacteristic, complemented
991#478C2×D7311yescharacteristic, complemented
992#476—731no—
993#475—731no—
994#474—731no—
995#474C2×D7311yescharacteristic, complemented
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460C2×D7311yescharacteristic, complemented
1014#460C2×D7311yescharacteristic, complemented
1015#460C2×D7311yescharacteristic, complemented
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446C2×D7311yescharacteristic, complemented
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440C2×D7311yescharacteristic, complemented
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16C2×D7311yescharacteristic, complemented
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062#436—731no—
1063#436—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428—731no—
1073#427—731no—
1074#419—731no—
1075#418—731no—
1076#418—731no—
1077#417—731no—
1078#416—731no—
1079C2×#102—731no—
1080#405—731no—
1081#405—731no—
1082C4×M16—731no—
1083C2×#41—21no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41—1461no—
1087C22×Q8—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4—1461no—
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—1464no—
1103C2×SD16C22×D7311yescharacteristic
1104C2×SD16C22×D7311yescharacteristic
1105C2×SD16C22×D7311yescharacteristic
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—731no—
1113C2×D8—731no—
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16—731no—
1118C22×C8—731no—
1119C22×C8—731no—
1120C4⋊Q8—21no—
1121C4⋊Q8—731no—
1122C4⋊Q8C22×D7311yescharacteristic
1123#127—731no—
1124#127—1461no—
1125#127C22×D7311yescharacteristic
1126#127C22×D7311yescharacteristic
1127#127C22×D7311yescharacteristic
1128#126—731no—
1129#126—731no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#125—21no—
1137#125—21no—
1138#125—731no—
1139#125—731no—
1140#125—731no—
1141#125—1461no—
1142#125C22×D7311yescharacteristic
1143#125C22×D7311yescharacteristic
1144#124—731no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#123—731no—
1157#123—731no—
1158#123—1461no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172C22⋊Q8—731no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181#121—21no—
1182#121—21no—
1183#121—21no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—731no—
1193#121—731no—
1194#121—731no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—21no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—1461no—
1225C4×Q8—1461no—
1226C4×Q8C22×D7311yescharacteristic
1227C4×Q8C22×D7311yescharacteristic
1228C4×Q8C22×D7311yescharacteristic
1229C4×Q8C22×D7311yescharacteristic
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—731no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—731no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—1461no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8C22×D7311yescharacteristic
1311C4⋊C8C22×D7311yescharacteristic
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103C22×D7311yescharacteristic
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102C22×D7311yescharacteristic
1337#102C22×D7311yescharacteristic
1338#102C22×D7311yescharacteristic
1339#102C22×D7311yescharacteristic
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8—731no—
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97C22×D7311yescharacteristic
1356#97C22×D7311yescharacteristic
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8C22×D7311yescharacteristic
1361C24—1461no—
1362C24—1461no—
1363C24—1461no—
1364#41—82no—
1365#41—2921no—
1366#41—2921no—
1367#41—5842no—
1368#41—1462no—
1369#41—1462no—
1370C2×Q8—21no—
1371C2×Q8—2921no—
1372C2×Q8—731no—
1373C2×Q8—1461no—
1374C2×Q8—1462no—
1375C2×Q8—1461no—
1376C2×Q8D4×D7311yescharacteristic
1377C2×Q8C23×D7311yescharacteristic
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—2921no—
1385C2×D4—2921no—
1386C2×D4—2921no—
1387C2×D4—5842no—
1388C2×D4—5842no—
1389C2×D4—5842no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—731no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1462no—
1406C2×D4—1462no—
1407C2×D4—1462no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4C23×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—5842no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444SD16—22no—
1445SD16—22no—
1446SD16—22no—
1447SD16—2921no—
1448SD16—2921no—
1449SD16—734no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—2921no—
1453D8—2921no—
1454D8—2921no—
1455D8—2921no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—2921no—
1461M16—2921no—
1462M16—1462no—
1463M16—1462no—
1464C2×C8—2921no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—1462no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4D4×D7311yescharacteristic
1506C4⋊C4D4×D7311yescharacteristic
1507C4⋊C4D4×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—731no—
1516C22⋊C4—731no—
1517C22⋊C4—731no—
1518C22⋊C4—731no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—1461no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42C23×D7311yescharacteristic
1570C42C23×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—2922no—
1576C23—2922no—
1577C23—2922no—
1578C23—2922no—
1579C23—5841no—
1580C23—5841no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—731no—
1585C23—731no—
1586C23—731no—
1587C23—1461no—
1588C23—1461no—
1589C23—1461no—
1590Q8—21no—
1591Q8—41no—
1592Q8—81no—
1593Q8—2922no—
1594Q8—5841no—
1595Q8—1461no—
1596Q8—1461no—
1597Q8#41×D7312yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—42no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—2922no—
1611D4—2922no—
1612D4—2921no—
1613D4—2921no—
1614D4—2921no—
1615D4—2922no—
1616D4—2922no—
1617D4—2922no—
1618D4—2922no—
1619D4—2922no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—732no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—42no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—2922no—
1645C2×C4—2922no—
1646C2×C4—2922no—
1647C2×C4—2922no—
1648C2×C4—2921no—
1649C2×C4—2921no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—731no—
1663C2×C4—731no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—732no—
1690C8—1461no—
1691C8—1461no—
1692C8—1461no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—5844no—
1711C22—11682no—
1712C22—11682no—
1713C22—1461no—
1714C22—1461no—
1715C22—1461no—
1716C22—1462no—
1717C22—1461no—
1718C22—1461no—
1719C22—1461no—
1720C22—1461no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—22no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—2921no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942411yescharacteristic
1747C2—81no—
1748C2—81no—
1749C2—81no—
1750C2—2922no—
1751C2—2921no—
1752C2—2921no—
1753C2—2921no—
1754C2—5841no—
1755C2—5841no—
1756C2#2262342011yescharacteristic
1757C2#2262470711yescharacteristic
1758C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3368C2
socleC22×C73C23×D4
hypercenter#3368D73
hypocenterC73#61504
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. #22624043C2semidirect
2. #22623962C2semidirect
3. #22622973C2semidirect
4. #22622870C2semidirect
5. #22622686C2semidirect
6. #22622498C2semidirect
7. #22622438C2semidirect
8. #22622428C2semidirect
9. #22622189C2semidirect
10. #22622172C2semidirect
11. #22622122C2semidirect
12. #22622071C2semidirect
13. #22621951C2semidirect
14. #22621942C2semidirect
15. #22621546C2semidirect
16. #22621421C2semidirect
17. #22621421C2semidirect
18. #22620621C2semidirect
19. #22620580C2semidirect
20. #22620525C2semidirect
21. #22620220C2semidirect
22. #22620176C2semidirect
23. #22620129C2semidirect
24. #22620122C2semidirect
25. #22620081C2semidirect
26. #22620074C2semidirect
27. #22618915C2semidirect
28. #22618787C2semidirect
29. #22618758C2semidirect
30. #22618736C2semidirect
31. C73×#3368C2semidirect
36. #17989322C22semidirect
38. #17989303C22semidirect
42. #17989290C22semidirect
47. #17989275C22semidirect
48. #17989259C22semidirect
49. #17989249C22semidirect
50. #17989249C22semidirect
58. #17989211C22semidirect
60. #17989193C22semidirect
69. #17989122C22semidirect
72. #17989069C22semidirect
73. #17989063C22semidirect
76. C4×#11924029C22semidirect
78. #17988997C22semidirect
79. #17988993C22semidirect
80. #17988986C22semidirect
81. #17988974C22semidirect
82. #17988974C22semidirect
83. #17988963C22semidirect
84. #17988952C22semidirect
85. #17988947C22semidirect
86. #17988942C22semidirect
87. #17988930C22semidirect
88. #17988919C22semidirect
89. #17988914C22semidirect
90. #17988914C22semidirect
91. #17988913C22semidirect
92. #17988910C22semidirect
93. #17988909C22semidirect
94. #17988909C22semidirect
95. #17988909C22semidirect
96. #17988904C22semidirect
97. #17988902C22semidirect
98. #17988899C22semidirect
99. #17988895C22semidirect
100. #17988894C22semidirect
101. #17988894C22semidirect
102. #17988888C22semidirect
106. #17988872C22semidirect
107. #17988868C22semidirect
108. #17988839C22semidirect
109. #17988839C22semidirect
110. #17988839C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988832C22semidirect
114. #17988832C22semidirect
115. #17988832C22semidirect
116. #17988822C22semidirect
117. #17988822C22semidirect
118. #17988822C22semidirect
119. #17988815C22semidirect
122. #17988802C22semidirect
123. #17988802C22semidirect
124. #17988784C22semidirect
126. #17988782C22semidirect
127. #17988779C22semidirect
128. #17988779C22semidirect
131. #17988731C22semidirect
132. #17988731C22semidirect
133. #17988731C22semidirect
134. #17988731C22semidirect
135. #17988724C22semidirect
136. #17988724C22semidirect
141. #17988718C22semidirect
144. #17988697C22semidirect
145. #17988697C22semidirect
146. #17988696C22semidirect
147. #17988696C22semidirect
148. #17988696C22semidirect
150. #17988688C22semidirect
151. #17988688C22semidirect
155. #17988684C22semidirect
156. #17988678C22semidirect
157. #17988678C22semidirect
158. SD16×Dic73C22semidirect
160. C4×#11924016C22semidirect
164. #17988667C22semidirect
165. #17988667C22semidirect
166. #17988667C22semidirect
167. #17988666C22semidirect
168. #17988664C22semidirect
169. #17988660C22semidirect
170. #17988660C22semidirect
171. #17988657C22semidirect
172. #17988657C22semidirect
173. #17988647C22semidirect
174. #17988647C22semidirect
175. #17988643C22semidirect
176. #17988628C22semidirect
177. #17988626C22semidirect
178. #17988624C22semidirect
179. #17988594C22semidirect
182. #17988587C22semidirect
183. #17988582C22semidirect
185. #17988544C22semidirect
186. #17988541C22semidirect
187. #17988539C22semidirect
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
552. #11924015#41semidirect
885. #3368D73semidirect
911. C73#61504semidirect
917. #557C2×D73semidirect
967. #490C2×D73semidirect
968. #490C2×D73semidirect
971. #486C2×D73semidirect
990. #478C2×D73semidirect
991. #478C2×D73semidirect
995. #474C2×D73semidirect
1013. #460C2×D73semidirect
1014. #460C2×D73semidirect
1015. #460C2×D73semidirect
1033. #446C2×D73semidirect
1048. #440C2×D73semidirect
1049. #440C2×D73semidirect
1056. C4×SD16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240432
#226239622
#226229732
#226228702
#226226862
#226224982
#226224382
#226224282
#226221892
#226221722
#226221222
#226220712
#226219512
#226219422
#226215462
#226214212
#226206212
#226205802
#226205252
#226202202
#226201762
#226201292
#226201222
#226200812
#226200742
#226189152
#226187872
#226187582
#226187362
C73×#33682
#6150473