Finite Group Databasebeta

← #33967989

Subgroups — #33967989

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623542C211yesmaximal, characteristic, complemented
2#22623496C211yesmaximal, characteristic, complemented
3#22622998C211yesmaximal, characteristic, complemented
4#22622886C211yesmaximal, characteristic, complemented
5#22622765C211yesmaximal, characteristic, complemented
6#22622687C211yesmaximal, characteristic, complemented
7#22622432C211yesmaximal, characteristic, complemented
8#22622306C211yesmaximal, characteristic, complemented
9#22622090C211yesmaximal, characteristic, complemented
10#22622006C211yesmaximal, characteristic, complemented
11#22621946C211yesmaximal, characteristic, complemented
12#22621910C211yesmaximal, characteristic, complemented
13#22621779C211yesmaximal, characteristic, complemented
14#22621764C211yesmaximal, characteristic, complemented
15#22621613C211yesmaximal, characteristic, complemented
16#22621463C211yesmaximal, characteristic, complemented
17#22621416C211yesmaximal, characteristic, complemented
18#22620661C211yesmaximal, characteristic, complemented
19#22620635C211yesmaximal, characteristic, complemented
20#22620631C211yesmaximal, characteristic, complemented
21#22620085C211yesmaximal, characteristic, complemented
22#22620072C211yesmaximal, characteristic, complemented
23#22620072C211yesmaximal, characteristic, complemented
24#22620047C211yesmaximal, characteristic, complemented
25#22620043C211yesmaximal, characteristic, complemented
26#22620027C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618738C211yesmaximal, characteristic, complemented
29#22618730C211yesmaximal, characteristic, complemented
30C2×#17988698C211yesmaximal, characteristic, complemented
31C73×#3344C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556614C2211yescharacteristic
34C22×D584C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989309C2211yescharacteristic, complemented
37#17989300C2211yescharacteristic, complemented
38#17989298C2211yescharacteristic, complemented
39#17989293C2211yescharacteristic, complemented
40#17989290—21no—
41#17989288—21no—
42#17989285C2211yescharacteristic
43#17989285C2211yescharacteristic, complemented
44#17989272C2211yescharacteristic, complemented
45#17989269—21no—
46#17989264—21no—
47#17989264—21no—
48#17989261—21no—
49#17989260—21no—
50#17989239C2211yescharacteristic, complemented
51#17989233C2211yescharacteristic
52#17989232—21no—
53#17989228C2211yescharacteristic
54#17989228C2211yescharacteristic, complemented
55#17989228C2211yescharacteristic, complemented
56D4×D292C2211yescharacteristic
57#17989139C2211yescharacteristic, complemented
58#17989138C2211yescharacteristic, complemented
59#17989123C2211yescharacteristic
60#17989123C2211yescharacteristic, complemented
61#17989123C2211yescharacteristic, complemented
62#17989122—21no—
63#17989122—21no—
64#17989122C2211yescharacteristic, complemented
65#17989120—21no—
66#17989100—21no—
67#17989100—21no—
68#17989095—21no—
69C4×#11924029C2211yescharacteristic, complemented
70C4×#11924029C2211yescharacteristic, complemented
71#17989055C2211yescharacteristic, complemented
72C4×#11924027C2211yescharacteristic
73C2×#14556553C2211yescharacteristic
74C2×#14556553C2211yescharacteristic, complemented
75C2×#14556553C2211yescharacteristic, complemented
76C4×D4×D73—21no—
77#117×D73—21no—
78#17988995C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988980C2211yescharacteristic, complemented
81#17988976C2211yescharacteristic
82#17988972C2211yescharacteristic, complemented
83#17988954C2211yescharacteristic, complemented
84#17988953C2211yescharacteristic, complemented
85#17988949C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988922C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988900C2211yescharacteristic
96#17988900C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988886C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988864C2211yescharacteristic, complemented
107#17988840C2211yescharacteristic
108#17988835C2211yescharacteristic, complemented
109#17988835C2211yescharacteristic, complemented
110#17988826C2211yescharacteristic, complemented
111#17988824C2211yescharacteristic, complemented
112#17988824C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic
114#17988817C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic
117#17988812C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic
120#17988805C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988803C2211yescharacteristic
125#17988791C2211yescharacteristic, complemented
126#17988791C2211yescharacteristic, complemented
127#17988787C2211yescharacteristic, complemented
128#17988783C2211yescharacteristic
129#17988752C2211yescharacteristic, complemented
130#17988747C2211yescharacteristic, complemented
131#17988740C2211yescharacteristic
132#17988737C2211yescharacteristic
133#17988737C2211yescharacteristic, complemented
134#17988737C2211yescharacteristic, complemented
135#17988735C2211yescharacteristic
136#17988735C2211yescharacteristic, complemented
137#17988735C2211yescharacteristic, complemented
138#17988734C2211yescharacteristic
139#17988723C2211yescharacteristic
140#17988723C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic
144#17988698C2211yescharacteristic
145#17988698C2211yescharacteristic
146#17988698C2211yescharacteristic
147#17988698C2211yescharacteristic
148#17988698C2211yescharacteristic, complemented
149#17988698C2211yescharacteristic, complemented
150#17988698C2211yescharacteristic, complemented
151#17988698C2211yescharacteristic, complemented
152#17988698C2211yescharacteristic, complemented
153#17988698C2211yescharacteristic, complemented
154#17988694C2211yescharacteristic, complemented
155#17988691C2211yescharacteristic, complemented
156#17988690C2211yescharacteristic, complemented
157#17988690C2211yescharacteristic, complemented
158#17988690C2211yescharacteristic, complemented
159#17988690C2211yescharacteristic, complemented
160#17988690C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163#17988686C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988674C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic
169#17988669C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic, complemented
180#17988586C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic
184C2×#14556511C2211yescharacteristic, complemented
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic
189#552×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#483×C73C2211yescharacteristic, complemented
194#483×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#475×C73C2211yescharacteristic, complemented
197#470×C73C2211yescharacteristic, complemented
198#467×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#428×C73C2211yescharacteristic, complemented
202C2×#106×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027D411yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C22×C4×D73—21no—
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556619—24no—
216#14556614—24no—
217C2×#11924018C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×D584—24no—
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×D584C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556589C2311yescharacteristic
239#14556588C2311yescharacteristic
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586—21no—
247#14556586—21no—
248#14556585—21no—
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556580—21no—
255#14556580C2311yescharacteristic
256#14556580C2311yescharacteristic
257#14556580C2311yescharacteristic
258#14556579—21no—
259#14556579—21no—
260#14556579C2311yescharacteristic
261#14556577—21no—
262#14556576—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#14556576—21no—
272#14556575—21no—
273#14556575—21no—
274#14556575—21no—
275#14556574—21no—
276#14556573—21no—
277#14556571—21no—
278#14556571—21no—
279#14556571C2311yescharacteristic
280#14556570C2311yescharacteristic
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556568—21no—
285#14556567—21no—
286#14556567—21no—
287#14556566—21no—
288#14556566—21no—
289#14556566—21no—
290#14556566—21no—
291#14556566—21no—
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556566C2311yescharacteristic
295#14556565—21no—
296#14556565—21no—
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556561—21no—
304#14556561—21no—
305#14556561—21no—
306#14556561—21no—
307#14556561—21no—
308#14556559—21no—
309Q8×Dic73C2311yescharacteristic
310Q8×Dic73C2311yescharacteristic
311C4×Dic146C2311yescharacteristic
312#14556556—21no—
313#14556556D411yescharacteristic
314#14556556C2311yescharacteristic
315#14556556C2311yescharacteristic
316C4×D292—21no—
317C4×D292—21no—
318C4×D292—21no—
319C4×D292C2311yescharacteristic
320C4×D292C2311yescharacteristic
321D4×Dic73D411yescharacteristic
322#14556553—21no—
323#14556553—21no—
324#14556553—21no—
325#14556553—21no—
326#14556553—21no—
327#14556553—21no—
328#14556553—21no—
329#14556553—21no—
330#14556553—21no—
331#14556553—21no—
332#14556553C2311yescharacteristic
333#14556553C2311yescharacteristic
334#14556553C2311yescharacteristic
335#14556553C2311yescharacteristic
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551D411yescharacteristic
354#14556551D411yescharacteristic
355#14556550—21no—
356#14556549—21no—
357#14556549—21no—
358#14556549—21no—
359#14556549—21no—
360#14556549—21no—
361#14556549—21no—
362#14556549D411yescharacteristic
363#14556549C2311yescharacteristic
364#14556549C2311yescharacteristic
365#14556548—21no—
366#14556548—21no—
367#14556548—21no—
368#14556547—21no—
369#14556547D411yescharacteristic
370#14556547D411yescharacteristic
371C4⋊C4×D73—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73—21no—
374C2×#11924005—21no—
375C2×#11924005—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C2×C4×Dic73C2311yescharacteristic
382C2×C4×Dic73C2311yescharacteristic
383C42×D73—21no—
384C42×D73—21no—
385C42×D73—21no—
386C42×D73C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556511C2311yescharacteristic
411#14556511C2311yescharacteristic
412#14556511C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×Q16×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73—21no—
444#125×C73—21no—
445#125×C73C2311yescharacteristic
446#123×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73C2311yescharacteristic
450C22⋊Q8×C73C2311yescharacteristic
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—22no—
486#11924029—41no—
487#11924029—41no—
488#11924029—82no—
489#11924028—22no—
490#11924028—41no—
491#11924027—42no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×D292—22no—
496C2×D292—22no—
497C2×D292—22no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—41no—
509C2×D292—41no—
510C2×D292—41no—
511C2×D292C2411yescharacteristic
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73C2×D411yescharacteristic
521C2×C22⋊D73C2×D411yescharacteristic
522D4×D73—44no—
523C22×Dic73C2×D411yescharacteristic
524C22×Dic73C2×D411yescharacteristic
525C22×Dic73C2×D411yescharacteristic
526C22×Dic73C2×D411yescharacteristic
527C2×C4×D73—21no—
528C2×C4×D73—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—21no—
543C2×C4×D73—21no—
544C2×C4×D73—44no—
545C2×C4×D73—82no—
546C2×C4×D73—82no—
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2×D411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550#11924018—41no—
551#11924017—22no—
552#11924017—22no—
553#11924017—41no—
554#11924015—22no—
555#11924015—22no—
556#11924015—41no—
557#11924015—41no—
558#11924015—41no—
559D584—22no—
560D584—22no—
561D584—22no—
562D584—22no—
563D584—41no—
564D584#4114yescomplemented
565#11924012—41no—
566C2×#10596831—41no—
567C2×#10596831C2411yescharacteristic
568C2×#10596831C2411yescharacteristic
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C8×D73—22no—
572C8×D73—41no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73C2×D411yescharacteristic
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#11924007—21no—
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73C2×D411yescharacteristic
597C22⋊Dic73C2×D411yescharacteristic
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#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#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646C2×Q8×C73—21no—
647C2×Q8×C73C2411yescharacteristic
648C2×Q8×C73C2411yescharacteristic
649C2×D4×C73C2×D411yescharacteristic
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73C2411yescharacteristic
654C22×C4×C73C2411yescharacteristic
655Q16×C73—22no—
656M16×C73—22no—
657C2×C8×C73—22no—
658C2×C8×C73C2411yescharacteristic
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73C2×D411yescharacteristic
687C22⋊C4×C73C2×D411yescharacteristic
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73C22×D411yescharacteristic
693C23×C73C22×D411yescharacteristic
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713Q8×C73—81no—
714D4×C73—22no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—42no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C2511yescharacteristic
735C22⋊D73—22no—
736C22⋊D73—41no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—81no—
741C2×Dic73—22no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—41no—
746C2×Dic73—41no—
747C2×Dic73—41no—
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755D292—21no—
756D292—21no—
757D292—21no—
758D292—21no—
759D292—21no—
760D292—21no—
761D292—21no—
762D292—21no—
763D292—42no—
764D292—42no—
765D292—42no—
766D292—42no—
767D292—42no—
768D292—42no—
769D292—81no—
770D292—81no—
771D292—81no—
772D292—81no—
773D292C2×#4112yes—
774D292C2×#4112yes—
775C4×D73—21no—
776C4×D73—21no—
777C4×D73—41no—
778C4×D73—41no—
779C4×D73—42no—
780C4×D73—42no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796Dic146—21no—
797Dic146—21no—
798Dic146—41no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73#57512yes—
814C22×C73C23×D411yescharacteristic
815C2×D73—21no—
816C2×D73—21no—
817C2×D73—22no—
818C2×D73—22no—
819C2×D73—21no—
820C2×D73—41no—
821C2×D73—41no—
822C2×D73—41no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—84no—
834C2×D73—84no—
835C2×D73—84no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73C22×#4111yescharacteristic
849C4×C73#58511yescharacteristic
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—22no—
862C2×C73—41no—
863C2×C73D4×#4111yescharacteristic
864C2×C73C2×#57511yescharacteristic
865C2×C73#358511yescharacteristic
866D73—41no—
867D73—42no—
868D73—42no—
869D73—81no—
870D73—81no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344D7311yescharacteristic, complemented
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×#135—731no—
906C22×D8—731no—
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554C2×D7311yescharacteristic
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—1461no—
919#552C2×D7311yescharacteristic
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—731no—
929#546—1461no—
930D42—731no—
931#533—731no—
932#532—731no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×#117—1461no—
952#501—731no—
953#501C2×D7311yescharacteristic, complemented
954#499—731no—
955#497—731no—
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485C2×D7311yescharacteristic, complemented
966#484—731no—
967#484C2×D7311yescharacteristic, complemented
968#483C2×D7311yescharacteristic, complemented
969#483C2×D7311yescharacteristic, complemented
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#480—731no—
975#480—731no—
976#479—731no—
977#479C2×D7311yescharacteristic, complemented
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478—731no—
984#475C2×D7311yescharacteristic, complemented
985#474—731no—
986#474—731no—
987#474—731no—
988#470C2×D7311yescharacteristic, complemented
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467C2×D7311yescharacteristic, complemented
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463—731no—
1008#461—731no—
1009#461—731no—
1010#460—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#447—731no—
1023#447—731no—
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#441—731no—
1038#441—731no—
1039#441C2×D7311yescharacteristic, complemented
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435C2×D7311yescharacteristic
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428C2×D7311yescharacteristic, complemented
1064#427—731no—
1065C2×#106C2×D7311yescharacteristic, complemented
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416—731no—
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C2×#41—1461no—
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088#135—1464no—
1089C2×Q16—731no—
1090C2×Q16C22×D7311yescharacteristic
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—731no—
1105C2×D8—1464no—
1106C2×M16—731no—
1107C2×M16C22×D7311yescharacteristic
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8C22×D7311yescharacteristic
1115#127—731no—
1116#126—21no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—21no—
1127#125—21no—
1128#125—731no—
1129#125—731no—
1130#125—731no—
1131#125—1461no—
1132#125—1461no—
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#123—21no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8C22×D7311yescharacteristic
1171C22⋊Q8C22×D7311yescharacteristic
1172C22⋊Q8C22×D7311yescharacteristic
1173C22⋊Q8C22×D7311yescharacteristic
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—1461no—
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4C22×D7311yescharacteristic
1246#117—21no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117C22×D7311yescharacteristic
1264C2×C4⋊C4—1461no—
1265C2×C4⋊C4—1461no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4C22×D7311yescharacteristic
1268C2×C4⋊C4C22×D7311yescharacteristic
1269C2×C4⋊C4C22×D7311yescharacteristic
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42—1461no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106C22×D7311yescharacteristic
1294#106C22×D7311yescharacteristic
1295#106C22×D7311yescharacteristic
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8C22×D7311yescharacteristic
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103C22×D7311yescharacteristic
1312#103C22×D7311yescharacteristic
1313#103C22×D7311yescharacteristic
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
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#102—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8C22×D7311yescharacteristic
1342C22⋊C8C22×D7311yescharacteristic
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97—731no—
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8—731no—
1353C24—1461no—
1354C24—1461no—
1355C24—1461no—
1356#41—2921no—
1357#41—2922no—
1358#41—2921no—
1359#41—2921no—
1360#41—5842no—
1361#41—1462no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—21no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—1461no—
1368C2×Q8C23×D7311yescharacteristic
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—2921no—
1371C2×D4—2921no—
1372C2×D4—2921no—
1373C2×D4—2924no—
1374C2×D4—731no—
1375C2×D4—731no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—1461no—
1382C2×D4—1461no—
1383C2×D4—1462no—
1384C2×D4—1462no—
1385C2×D4—1462no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4D4×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—2924no—
1403C22×C4—5842no—
1404C22×C4—5842no—
1405C22×C4—731no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4C23×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—22no—
1432Q16—2921no—
1433SD16—2921no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—2921no—
1442D8—734no—
1443D8—1462no—
1444D8—1462no—
1445D8—1462no—
1446D8—1462no—
1447M16—22no—
1448M16—2921no—
1449C2×C8—22no—
1450C2×C8—2921no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4D4×D7311yescharacteristic
1496C4⋊C4C23×D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—731no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1544C22⋊C4D4×D7311yescharacteristic
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—731no—
1555C42—731no—
1556C42—731no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42C23×D7311yescharacteristic
1564C23—2922no—
1565C23—2922no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—5841no—
1571C23—5841no—
1572C23—5841no—
1573C23—731no—
1574C23—1461no—
1575C23—1461no—
1576C23—1461no—
1577C23—1461no—
1578C23—1461no—
1579C23C2×D4×D7311yescharacteristic
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—81no—
1586Q8—2921no—
1587Q8—5841no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—22no—
1591D4—2922no—
1592D4—2922no—
1593D4—2922no—
1594D4—2922no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2921no—
1601D4—5841no—
1602D4—5841no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—732no—
1607D4—732no—
1608D4—1462no—
1609D4—1461no—
1610D4—1461no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2921no—
1635C2×C4—2921no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2922no—
1644C2×C4—2922no—
1645C2×C4—2921no—
1646C2×C4—2921no—
1647C2×C4—2921no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
1657C2×C4—731no—
1658C2×C4—731no—
1659C2×C4—731no—
1660C2×C4—731no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1462no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C8#41×D7312yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—2921no—
1686C22—2921no—
1687C22—2921no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—5844no—
1699C22—5844no—
1700C22—5844no—
1701C22—1461no—
1702C22—1462no—
1703C22—1462no—
1704C22—1461no—
1705C22—1461no—
1706C22#1798938612yes—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—1461no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C2×#41×D7311yescharacteristic
1731C4#1798942411yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—2922no—
1735C2—2922no—
1736C2—2921no—
1737C2—5841no—
1738C2—5841no—
1739C2—5841no—
1740C2#2262341811yescharacteristic
1741C2C2×#1798938611yescharacteristic
1742C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3344C2
socleC22×C73C23×D4
hypercenter#3344D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
1. #22623542C2semidirect
2. #22623496C2semidirect
3. #22622998C2semidirect
4. #22622886C2semidirect
5. #22622765C2semidirect
6. #22622687C2semidirect
7. #22622432C2semidirect
8. #22622306C2semidirect
9. #22622090C2semidirect
10. #22622006C2semidirect
11. #22621946C2semidirect
12. #22621910C2semidirect
13. #22621779C2semidirect
14. #22621764C2semidirect
15. #22621613C2semidirect
16. #22621463C2semidirect
17. #22621416C2semidirect
18. #22620661C2semidirect
19. #22620635C2semidirect
20. #22620631C2semidirect
21. #22620085C2semidirect
22. #22620072C2semidirect
23. #22620072C2semidirect
24. #22620047C2semidirect
25. #22620043C2semidirect
26. #22620027C2semidirect
27. #22618941C2semidirect
28. #22618738C2semidirect
29. #22618730C2semidirect
30. C2×#17988698C2semidirect
31. C73×#3344C2semidirect
35. #17989322C22semidirect
36. #17989309C22semidirect
37. #17989300C22semidirect
38. #17989298C22semidirect
39. #17989293C22semidirect
43. #17989285C22semidirect
44. #17989272C22semidirect
50. #17989239C22semidirect
54. #17989228C22semidirect
55. #17989228C22semidirect
57. #17989139C22semidirect
58. #17989138C22semidirect
60. #17989123C22semidirect
61. #17989123C22semidirect
64. #17989122C22semidirect
69. C4×#11924029C22semidirect
70. C4×#11924029C22semidirect
71. #17989055C22semidirect
74. C2×#14556553C22semidirect
75. C2×#14556553C22semidirect
78. #17988995C22semidirect
79. #17988987C22semidirect
80. #17988980C22semidirect
82. #17988972C22semidirect
83. #17988954C22semidirect
84. #17988953C22semidirect
85. #17988949C22semidirect
86. #17988948C22semidirect
87. #17988943C22semidirect
88. #17988943C22semidirect
89. #17988931C22semidirect
90. #17988922C22semidirect
91. #17988914C22semidirect
92. #17988913C22semidirect
93. #17988913C22semidirect
94. #17988911C22semidirect
96. #17988900C22semidirect
97. #17988897C22semidirect
98. #17988890C22semidirect
99. #17988886C22semidirect
100. #17988886C22semidirect
101. #17988886C22semidirect
102. #17988886C22semidirect
103. #17988884C22semidirect
104. #17988866C22semidirect
105. #17988866C22semidirect
106. #17988864C22semidirect
108. #17988835C22semidirect
109. #17988835C22semidirect
110. #17988826C22semidirect
111. #17988824C22semidirect
112. #17988824C22semidirect
114. #17988817C22semidirect
115. #17988817C22semidirect
117. #17988812C22semidirect
118. #17988809C22semidirect
120. #17988805C22semidirect
121. #17988805C22semidirect
122. #17988805C22semidirect
123. #17988805C22semidirect
125. #17988791C22semidirect
126. #17988791C22semidirect
127. #17988787C22semidirect
129. #17988752C22semidirect
130. #17988747C22semidirect
133. #17988737C22semidirect
134. #17988737C22semidirect
136. #17988735C22semidirect
137. #17988735C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
148. #17988698C22semidirect
149. #17988698C22semidirect
150. #17988698C22semidirect
151. #17988698C22semidirect
152. #17988698C22semidirect
153. #17988698C22semidirect
154. #17988694C22semidirect
155. #17988691C22semidirect
156. #17988690C22semidirect
157. #17988690C22semidirect
158. #17988690C22semidirect
159. #17988690C22semidirect
160. #17988690C22semidirect
161. #17988686C22semidirect
162. #17988686C22semidirect
163. #17988686C22semidirect
164. #17988685C22semidirect
165. #17988685C22semidirect
166. #17988674C22semidirect
167. #17988674C22semidirect
169. #17988669C22semidirect
170. #17988661C22semidirect
172. #17988656C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #17988622C22semidirect
179. #17988591C22semidirect
180. #17988586C22semidirect
181. #17988582C22semidirect
182. #17988582C22semidirect
184. C2×#14556511C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #483×C73C22semidirect
194. #483×C73C22semidirect
195. #479×C73C22semidirect
196. #475×C73C22semidirect
197. #470×C73C22semidirect
198. #467×C73C22semidirect
199. #441×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#106×C73C22semidirect
564. D584#41semidirect
879. #3344D73semidirect
903. C73#61454semidirect
953. #501C2×D73semidirect
965. #485C2×D73semidirect
967. #484C2×D73semidirect
968. #483C2×D73semidirect
969. #483C2×D73semidirect
977. #479C2×D73semidirect
984. #475C2×D73semidirect
988. #470C2×D73semidirect
993. #467C2×D73semidirect
1039. #441C2×D73semidirect
1063. #428C2×D73semidirect
1065. C2×#106C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235422
#226234962
#226229982
#226228862
#226227652
#226226872
#226224322
#226223062
#226220902
#226220062
#226219462
#226219102
#226217792
#226217642
#226216132
#226214632
#226214162
#226206612
#226206352
#226206312
#226200852
#226200722
#226200472
#226200432
#226200272
#226189412
#226187382
#226187302
C2×#179886982
C73×#33442
#6145473