Finite Group Databasebeta

← #33971608

Subgroups — #33971608

Order 18688.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624248C211yesmaximal, characteristic, complemented
2#22623581C211yesmaximal, characteristic, complemented
3#22622224C211yesmaximal, characteristic, complemented
4#22622187C211yesmaximal, characteristic, complemented
5#22622114C211yesmaximal, characteristic, complemented
6#22622098C211yesmaximal, characteristic, complemented
7#22621980C211yesmaximal, characteristic, complemented
8#22621916C211yesmaximal, characteristic, complemented
9#22621814C211yesmaximal, characteristic, complemented
10#22621643C211yesmaximal, characteristic, complemented
11#22621624C211yesmaximal, characteristic, complemented
12#22621595C211yesmaximal, characteristic, complemented
13#22621564C211yesmaximal, characteristic, complemented
14#22621513C211yesmaximal, characteristic, complemented
15#22621447C211yesmaximal, characteristic, complemented
16#22621442C211yesmaximal, characteristic, complemented
17#22621419C211yesmaximal, characteristic, complemented
18#22621043C211yesmaximal, characteristic, complemented
19#22620991C211yesmaximal, characteristic, complemented
20#22620820C211yesmaximal, characteristic, complemented
21#22620797C211yesmaximal, characteristic, complemented
22#22620750C211yesmaximal, characteristic, complemented
23#22620720C211yesmaximal, characteristic, complemented
24#22620219C211yesmaximal, characteristic, complemented
25#22620167C211yesmaximal, characteristic, complemented
26#22619251C211yesmaximal, characteristic, complemented
27#22619212C211yesmaximal, characteristic, complemented
28#22619162C211yesmaximal, characteristic, complemented
29C2×#17988727C211yesmaximal, characteristic, complemented
30#22618973C211yesmaximal, characteristic, complemented
31C73×#3298C211yesmaximal, characteristic, complemented
32C2×#14556639C2211yescharacteristic, complemented
33C22×Q8×D73C2211yescharacteristic, complemented
34C2×#14556622C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556620C2211yescharacteristic, complemented
37C2×#14556618C2211yescharacteristic, complemented
38C2×#14556613C2211yescharacteristic, complemented
39C22×#11924017C2211yescharacteristic
40C22×#11924015C2211yescharacteristic
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989333—21no—
43#17989327—21no—
44#17989303C2211yescharacteristic
45#17989285C2211yescharacteristic
46#17989272C2211yescharacteristic
47#17989260—21no—
48#17989255C2211yescharacteristic
49#17989252—21no—
50#17989252C2211yescharacteristic, complemented
51Q8×C22⋊D73C2211yescharacteristic, complemented
52#17989250—21no—
53#17989250C2211yescharacteristic
54#17989249C2211yescharacteristic, complemented
55#17989248C2211yescharacteristic
56#17989247—21no—
57#17989247C2211yescharacteristic, complemented
58#17989246—21no—
59#17989246C2211yescharacteristic, complemented
60#17989233C2211yescharacteristic
61#17989232C2211yescharacteristic
62#17989225—21no—
63#17989221C2211yescharacteristic
64#17989211C2211yescharacteristic
65#17989189—21no—
66#17989188C2211yescharacteristic
67#17989177—21no—
68#17989168C2211yescharacteristic
69#17989162—21no—
70#17989162C2211yescharacteristic, complemented
71#17989160—21no—
72#17989160C2211yescharacteristic, complemented
73#17989153C2211yescharacteristic
74#17989151—21no—
75#17989148—21no—
76#17989100—21no—
77#17989100C2211yescharacteristic, complemented
78#17989097C2211yescharacteristic
79#17989096—21no—
80#17989096C2211yescharacteristic
81C2×#14556566C2211yescharacteristic
82#17989063C2211yescharacteristic, complemented
83#17988979C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988971C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic, complemented
87#17988954C2211yescharacteristic, complemented
88#17988949C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988931C2211yescharacteristic, complemented
92#17988926C2211yescharacteristic, complemented
93#17988926C2211yescharacteristic, complemented
94#17988922C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic
96#17988913C2211yescharacteristic, complemented
97#17988913C2211yescharacteristic, complemented
98#17988910C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988892C2211yescharacteristic, complemented
102#17988879C2211yescharacteristic, complemented
103#17988846C2211yescharacteristic, complemented
104#17988841C2211yescharacteristic
105#17988841C2211yescharacteristic, complemented
106#17988836C2211yescharacteristic
107#17988836C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic, complemented
109#17988835C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic, complemented
111#17988827C2211yescharacteristic, complemented
112#17988826C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic
114#17988817C2211yescharacteristic, complemented
115#17988816C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988796C2211yescharacteristic, complemented
124#17988791C2211yescharacteristic, complemented
125#17988789C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988747C2211yescharacteristic, complemented
132#17988746C2211yescharacteristic, complemented
133#17988745C2211yescharacteristic, complemented
134#17988744C2211yescharacteristic, complemented
135#17988744C2211yescharacteristic, complemented
136#17988744C2211yescharacteristic, complemented
137#17988743C2211yescharacteristic, complemented
138#17988739C2211yescharacteristic, complemented
139#17988737C2211yescharacteristic
140#17988736C2211yescharacteristic, complemented
141#17988735C2211yescharacteristic
142#17988735C2211yescharacteristic, complemented
143#17988735C2211yescharacteristic, complemented
144#17988734C2211yescharacteristic, complemented
145#17988733C2211yescharacteristic, complemented
146#17988731C2211yescharacteristic, complemented
147#17988730C2211yescharacteristic, complemented
148#17988727C2211yescharacteristic
149#17988727C2211yescharacteristic
150#17988727C2211yescharacteristic
151#17988727C2211yescharacteristic
152#17988727C2211yescharacteristic, complemented
153#17988727C2211yescharacteristic, complemented
154#17988727C2211yescharacteristic, complemented
155#17988727C2211yescharacteristic, complemented
156#17988727C2211yescharacteristic, complemented
157#17988726C2211yescharacteristic, complemented
158#17988725C2211yescharacteristic
159#17988724C2211yescharacteristic, complemented
160#17988724C2211yescharacteristic, complemented
161#17988723C2211yescharacteristic
162#17988693C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988687C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988679C2211yescharacteristic, complemented
167C4×#11924017C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169#17988666C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic
175C8×C22⋊D73C2211yescharacteristic
176#17988647C2211yescharacteristic, complemented
177#17988646C2211yescharacteristic, complemented
178#17988594C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988594C2211yescharacteristic, complemented
181#17988586C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183C2×#14556514C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187C2×#14556503C2211yescharacteristic, complemented
188D4×Q8×C73C2211yescharacteristic, complemented
189#547×C73C2211yescharacteristic
190#487×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#475×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic
198#448×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201C2×#103×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203#14556639—42no—
204#14556639—42no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C22×Dic146—21no—
215C22×Dic146C2311yescharacteristic
216C2×Q8×D73—21no—
217C2×Q8×D73—21no—
218C2×Q8×D73—21no—
219C2×Q8×D73—42no—
220C2×Q8×D73—42no—
221C2×Q8×D73C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C2×Q8×D73C2311yescharacteristic
224C2×Q8×D73C2311yescharacteristic
225C2×Q8×D73C2311yescharacteristic
226C22×D292—21no—
227C22×D292C2311yescharacteristic
228C2×D4×D73—21no—
229C2×D4×D73C2311yescharacteristic
230C22×C4×D73—21no—
231C22×C4×D73C2311yescharacteristic
232#14556622—42no—
233#14556620—42no—
234#14556620—42no—
235#14556618—42no—
236#14556613—42no—
237C2×Dic292C2311yescharacteristic
238C2×Dic292C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924017—42no—
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924015—42no—
251C2×#11924015C2311yescharacteristic
252C2×#11924015C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×#11924015C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257SD16×D73—42no—
258C2×D584C2311yescharacteristic
259C2×D584C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924012C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263C2×#11924011C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C22×#10596831C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267#14556590—21no—
268#14556590—21no—
269#14556590—21no—
270#14556589—21no—
271#14556589C2311yescharacteristic
272#14556587—21no—
273#14556587—21no—
274#14556587C2311yescharacteristic
275#14556586—21no—
276#14556586—21no—
277#14556586—21no—
278#14556582C2311yescharacteristic
279#14556581—21no—
280#14556580—21no—
281#14556580—21no—
282#14556580—21no—
283#14556580—21no—
284#14556580C2311yescharacteristic
285#14556579—21no—
286#14556579C2311yescharacteristic
287#14556579C2311yescharacteristic
288#14556577—21no—
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556576—21no—
296#14556576—21no—
297#14556576—21no—
298#14556576—21no—
299#14556576D411yescharacteristic
300#14556575—21no—
301#14556574—21no—
302#14556574—21no—
303#14556573—21no—
304#14556573—21no—
305#14556573—21no—
306#14556573D411yescharacteristic
307#14556571—21no—
308#14556571—21no—
309#14556571C2311yescharacteristic
310#14556571C2311yescharacteristic
311#14556571C2311yescharacteristic
312#14556570—21no—
313#14556570C2311yescharacteristic
314#14556570C2311yescharacteristic
315#14556569—21no—
316#14556569—21no—
317#14556569—21no—
318#14556569—21no—
319#14556569—21no—
320#14556569—21no—
321#14556569—21no—
322#14556569D411yescharacteristic
323#14556568—21no—
324#14556568D411yescharacteristic
325#14556567—21no—
326#14556567—21no—
327#14556567—21no—
328#14556567C2311yescharacteristic
329#14556567C2311yescharacteristic
330#14556566—21no—
331#14556566—21no—
332#14556566—21no—
333#14556566—21no—
334#14556566—21no—
335#14556566C2311yescharacteristic
336#14556566C2311yescharacteristic
337#14556566C2311yescharacteristic
338#14556566C2311yescharacteristic
339#14556566C2311yescharacteristic
340#14556566C2311yescharacteristic
341#14556565—21no—
342#14556565—21no—
343#14556565—21no—
344#14556565—21no—
345#14556565—21no—
346#14556565—21no—
347#14556565C2311yescharacteristic
348#14556565C2311yescharacteristic
349#14556564—21no—
350#14556564—21no—
351#14556564—21no—
352#14556564—21no—
353#14556564—21no—
354#14556564D411yescharacteristic
355#14556563—21no—
356#14556563—21no—
357#14556563D411yescharacteristic
358#14556562C2311yescharacteristic
359#14556561—21no—
360#14556561—21no—
361#14556561—21no—
362#14556561—21no—
363#14556561D411yescharacteristic
364#14556559—21no—
365#14556559—21no—
366#14556559—21no—
367#14556559—21no—
368#14556559D411yescharacteristic
369Q8×Dic73C2311yescharacteristic
370C4×Dic146—21no—
371C4×Dic146C2311yescharacteristic
372#14556556—21no—
373#14556556C2311yescharacteristic
374#14556556C2311yescharacteristic
375C4×D292—21no—
376C4×D292C2311yescharacteristic
377C4×D292C2311yescharacteristic
378D4×Dic73—21no—
379#14556553—21no—
380#14556553—21no—
381#14556553—21no—
382#14556553C2311yescharacteristic
383C4×C22⋊D73—21no—
384C4×C22⋊D73—21no—
385C4×C22⋊D73—21no—
386C4×C22⋊D73C2311yescharacteristic
387C4×C22⋊D73C2311yescharacteristic
388#14556551—21no—
389#14556551—21no—
390#14556551—21no—
391#14556551—21no—
392#14556551—21no—
393#14556550—21no—
394#14556549—21no—
395#14556549—21no—
396#14556549C2311yescharacteristic
397#14556549C2311yescharacteristic
398#14556549C2311yescharacteristic
399#14556548—21no—
400#14556548C2311yescharacteristic
401C2×#11924005—21no—
402C2×#11924005—21no—
403C22⋊C4×D73—21no—
404#14556524C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556524C2311yescharacteristic
408#14556523C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556502C2311yescharacteristic
445#14556501C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73—21no—
448C22×Q8×C73C2311yescharacteristic
449C22×Q8×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455C4⋊Q8×C73—21no—
456C4⋊Q8×C73C2311yescharacteristic
457C4⋊Q8×C73C2311yescharacteristic
458#123×C73—21no—
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73—21no—
462C22⋊Q8×C73—21no—
463C22⋊Q8×C73C2311yescharacteristic
464C22⋊Q8×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467C4×Q8×C73C2311yescharacteristic
468C4×D4×C73—21no—
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C2×C4⋊C4×C73C2311yescharacteristic
472C2×C4⋊C4×C73C2311yescharacteristic
473#106×C73C2311yescharacteristic
474#106×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#103×C73C2311yescharacteristic
485#103×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73C2×D411yescharacteristic
493#11924029—22no—
494#11924029—41no—
495#11924029—41no—
496#11924029—41no—
497#11924029—44no—
498#11924028—22no—
499#11924028—41no—
500#11924028—44no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—44no—
506#11924027—41no—
507#11924027—41no—
508C2×Dic146—21no—
509C2×Dic146—22no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—41no—
516C2×Dic146—44no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521Q8×D73—22no—
522Q8×D73—22no—
523Q8×D73—22no—
524Q8×D73—22no—
525Q8×D73—22no—
526Q8×D73—41no—
527Q8×D73—41no—
528Q8×D73—41no—
529Q8×D73—41no—
530Q8×D73—41no—
531Q8×D73—44no—
532Q8×D73—44no—
533Q8×D73—44no—
534C2×D292—21no—
535C2×D292—21no—
536C2×D292—21no—
537C2×D292—21no—
538C2×D292—21no—
539C2×D292—21no—
540C2×D292—21no—
541C2×D292—21no—
542C2×D292—21no—
543C2×D292—41no—
544C2×D292—41no—
545C2×D292—82no—
546C2×D292C2×D411yescharacteristic
547C2×D292C2×D411yescharacteristic
548C2×D292C2411yescharacteristic
549C2×D292C2411yescharacteristic
550C2×D292C2411yescharacteristic
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73—21no—
558C2×C22⋊D73—21no—
559C2×C22⋊D73—21no—
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—82no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73C2×D411yescharacteristic
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—41no—
582C2×C4×D73—41no—
583C2×C4×D73—44no—
584C2×C4×D73C2×D411yescharacteristic
585C2×C4×D73C2×D411yescharacteristic
586C2×C4×D73C2411yescharacteristic
587C2×C4×D73C2411yescharacteristic
588C2×C4×D73C2411yescharacteristic
589Dic292—22no—
590Dic292—41no—
591#11924018—22no—
592#11924018—41no—
593#11924018—41no—
594#11924017—22no—
595#11924017—22no—
596#11924017—41no—
597#11924017—41no—
598#11924017—41no—
599#11924016—22no—
600#11924016—41no—
601#11924015—22no—
602#11924015—22no—
603#11924015—41no—
604#11924015—41no—
605#11924015—41no—
606#11924015—41no—
607D584—41no—
608D584—41no—
609#11924013—41no—
610#11924012—41no—
611#11924011—41no—
612#11924011—41no—
613#11924011—41no—
614C2×#10596831—41no—
615C2×#10596831C2411yescharacteristic
616C2×#10596831C2411yescharacteristic
617C2×#10596831C2411yescharacteristic
618C2×#10596831C2411yescharacteristic
619C8×D73—41no—
620C4⋊Dic73—21no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73—21no—
624C4⋊Dic73—21no—
625C4⋊Dic73C2×D411yescharacteristic
626C4⋊Dic73C2411yescharacteristic
627C4⋊Dic73C2411yescharacteristic
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007C2×D411yescharacteristic
639#11924007C2×D411yescharacteristic
640#11924007C2×D411yescharacteristic
641#11924007C2×D411yescharacteristic
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73C2×D411yescharacteristic
646C22⋊Dic73C2×D411yescharacteristic
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673#11924005C2×D411yescharacteristic
674#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677C4×Dic73—21no—
678C4×Dic73—21no—
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73C2411yescharacteristic
685#41×C73—82no—
686C2×Q8×C73—21no—
687C2×Q8×C73—21no—
688C2×Q8×C73—21no—
689C2×Q8×C73—22no—
690C2×Q8×C73—22no—
691C2×Q8×C73—41no—
692C2×Q8×C73—41no—
693C2×Q8×C73C2411yescharacteristic
694C2×Q8×C73C2411yescharacteristic
695C2×Q8×C73C2411yescharacteristic
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73C2×D411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C22×C4×C73—21no—
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73—21no—
705C22×C4×C73C2411yescharacteristic
706C22×C4×C73C2411yescharacteristic
707SD16×C73—22no—
708SD16×C73—41no—
709SD16×C73—41no—
710C2×C8×C73—41no—
711C2×C8×C73—41no—
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C2×C8×C73C2411yescharacteristic
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73C2×D411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73C2×D411yescharacteristic
735C22⋊C4×C73C2×D411yescharacteristic
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73C22×D411yescharacteristic
740C23×C73C22×D411yescharacteristic
741C22×D73—22no—
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—41no—
746C22×D73—41no—
747C22×D73—42no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73C22×D411yescharacteristic
754C22×D73C22×D411yescharacteristic
755C22×D73C22×D411yescharacteristic
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760Q8×C73—21no—
761Q8×C73—42no—
762Q8×C73—42no—
763Q8×C73—81no—
764Q8×C73H(5,𝔽2)12yes—
765D4×C73—22no—
766D4×C73—21no—
767D4×C73—21no—
768D4×C73—42no—
769D4×C73—81no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—42no—
782C2×C4×C73—42no—
783C2×C4×C73—42no—
784C2×C4×C73—81no—
785C2×C4×C73—81no—
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C22×D411yescharacteristic
788C2×C4×C73C22×D411yescharacteristic
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C2511yescharacteristic
791C22⋊D73—22no—
792C22⋊D73—41no—
793C22⋊D73—41no—
794C22⋊D73—41no—
795C22⋊D73—42no—
796C22⋊D73—42no—
797C22⋊D73—81no—
798C22⋊D73—81no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—21no—
807C2×Dic73—21no—
808C2×Dic73—21no—
809C2×Dic73—41no—
810C2×Dic73—42no—
811C2×Dic73—81no—
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814C2×Dic73C22×D411yescharacteristic
815C2×Dic73C22×D411yescharacteristic
816C2×Dic73C22×D411yescharacteristic
817D292—21no—
818D292—21no—
819D292—21no—
820D292—21no—
821D292—21no—
822D292—21no—
823D292—41no—
824D292—41no—
825D292—42no—
826D292—42no—
827D292—42no—
828D292—81no—
829D292—81no—
830D292—81no—
831D292—81no—
832D292—81no—
833D292—81no—
834C4×D73—24no—
835C4×D73—21no—
836C4×D73—21no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—21no—
841C4×D73—41no—
842C4×D73—41no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—81no—
851C4×D73—81no—
852C4×D73—81no—
853Dic146—24no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—21no—
859Dic146—41no—
860Dic146—42no—
861Dic146—42no—
862Dic146—42no—
863Dic146—42no—
864Dic146—42no—
865Dic146H(5,𝔽2)12yes—
866C8×C73—21no—
867C8×C73—21no—
868C8×C73—21no—
869C8×C73—21no—
870#10596831—21no—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73#57712yes—
883C22×C73C23×D411yescharacteristic
884C2×D73—21no—
885C2×D73—21no—
886C2×D73—21no—
887C2×D73—21no—
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—44no—
894C2×D73—41no—
895C2×D73—41no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—162no—
904C2×D73—162no—
905C4×C73—21no—
906C4×C73—22no—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73—21no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73—41no—
916C4×C73C2×H(5,𝔽2)11yescharacteristic
917C4×C73C2×H(5,𝔽2)11yescharacteristic
918Dic73—21no—
919Dic73—21no—
920Dic73—22no—
921Dic73—21no—
922Dic73—21no—
923Dic73—21no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61611—731nomaximal, Sylow
929C2×C73—22no—
930C2×C73—41no—
931C2×C73—81no—
932C2×C73#348411yescharacteristic
933C2×C73C2×#57711yescharacteristic
934C2×C73#358611yescharacteristic
935D73—41no—
936D73—41no—
937D73—41no—
938D73—81no—
939D73—81no—
940D73—81no—
941#3542—731no—
942#3486—731no—
943#3329—731no—
944#3326—731no—
945#3321—731no—
946#3320—731no—
947#3312—731no—
948#3308—731no—
949#3300—731no—
950#3298D7311yescharacteristic, complemented
951#3282—731no—
952D4×SD16—731no—
953#3278—731no—
954#3275—731no—
955#3271—731no—
956#3266—731no—
957#3266—731no—
958#3265—731no—
959#3225—731no—
960#3221—731no—
961#3201—731no—
962#3200—731no—
963#3194—731no—
964#3191—731no—
965#3126—731no—
966#3121—731no—
967#3013—731no—
968#3010—731no—
969#3004—731no—
970C2×#448—731no—
971#2976—731no—
972C73#6161111yescharacteristic, complemented, Sylow
973C2×2−1+4—731no—
974C23×Q8—731no—
975C2×#137—731no—
976C2×#137—731no—
977C2×#137—731no—
978C2×AGL(1,ℤ/8)—731no—
979C2×#135—731no—
980C22×SD16—731no—
981C22×SD16—731no—
982C22×SD16—731no—
983#562—1461no—
984#560—1461no—
985#555—731no—
986#553—731no—
987#552—731no—
988#551—1461no—
989#550—731no—
990D4×Q8—731no—
991D4×Q8—731no—
992D4×Q8—731no—
993D4×Q8—1461no—
994D4×Q8—1461no—
995D4×Q8C2×D7311yescharacteristic, complemented
996#548—731no—
997#548—731no—
998#548—731no—
999#548—731no—
1000#548—1461no—
1001#548—1461no—
1002#547C2×D7311yescharacteristic
1003#546—731no—
1004#546—731no—
1005#546—1461no—
1006D42—731no—
1007#542—731no—
1008#540—731no—
1009#540—1461no—
1010#538—1461no—
1011#537—731no—
1012#536—731no—
1013#536—731no—
1014#536—1461no—
1015#536—1461no—
1016#535—731no—
1017#535—1461no—
1018#534—1461no—
1019#525—731no—
1020#525—731no—
1021#525—731no—
1022#525—1461no—
1023#525—1461no—
1024C2×#121—731no—
1025#519—731no—
1026#497—731no—
1027#496—731no—
1028#495—731no—
1029#492—731no—
1030#491—731no—
1031#489—731no—
1032#488—731no—
1033#487C2×D7311yescharacteristic, complemented
1034#485—731no—
1035#485—731no—
1036#485—731no—
1037#485—731no—
1038#484—731no—
1039#483C2×D7311yescharacteristic, complemented
1040#483C2×D7311yescharacteristic, complemented
1041#482—731no—
1042#482—731no—
1043#482—731no—
1044#482—731no—
1045#480—731no—
1046#479—731no—
1047#479—731no—
1048#477—731no—
1049#475C2×D7311yescharacteristic, complemented
1050#470—731no—
1051#469—731no—
1052#469—731no—
1053#468—731no—
1054#468—731no—
1055#468—731no—
1056#468—731no—
1057#468—731no—
1058#467—731no—
1059#467—731no—
1060#466—731no—
1061#465—731no—
1062#465—731no—
1063#465—731no—
1064#465C2×D7311yescharacteristic
1065#465C2×D7311yescharacteristic, complemented
1066#464—731no—
1067#464—731no—
1068#464—731no—
1069#463—731no—
1070#463—731no—
1071#463—731no—
1072#462—731no—
1073#461—731no—
1074#461—731no—
1075#461C2×D7311yescharacteristic, complemented
1076#460—731no—
1077#460—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#451—731no—
1084#451—731no—
1085#451—731no—
1086#451—731no—
1087#451—731no—
1088#450—731no—
1089#450—731no—
1090#450—731no—
1091#449—731no—
1092#449—731no—
1093#449—731no—
1094#449—731no—
1095#449—731no—
1096#449—731no—
1097#449—731no—
1098#448—731no—
1099#448—731no—
1100#448—731no—
1101#448—731no—
1102#448—731no—
1103#448—731no—
1104#448—731no—
1105#448—731no—
1106#448—731no—
1107#448—731no—
1108#448—731no—
1109#448—731no—
1110#448—731no—
1111#448C2×D7311yescharacteristic
1112#448C2×D7311yescharacteristic, complemented
1113#447—731no—
1114#441—731no—
1115#440—731no—
1116#440—731no—
1117#440—731no—
1118C4×Q16—731no—
1119C4×SD16—731no—
1120C4×SD16—731no—
1121C4×SD16C2×D7311yescharacteristic, complemented
1122#436—731no—
1123#436—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127#435—731no—
1128C8×D4—731no—
1129C8×D4C2×D7311yescharacteristic, complemented
1130#433—731no—
1131#433—731no—
1132#419—731no—
1133#419—731no—
1134#419—731no—
1135#417—731no—
1136#416—731no—
1137C2×#103—731no—
1138C2×#103C2×D7311yescharacteristic, complemented
1139C2×#103C2×D7311yescharacteristic, complemented
1140#408—731no—
1141#408—731no—
1142#407—731no—
1143C2×C22⋊C8—731no—
11442−1+4—2922no—
11452−1+4—2922no—
1146C2×#41—21no—
1147C2×#41—731no—
1148C2×#41—731no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—1461no—
1154C2×#41—1461no—
1155C2×#41—1461no—
1156C22×Q8—2922no—
1157C22×Q8—2922no—
1158C22×Q8—731no—
1159C22×Q8—731no—
1160C22×Q8—731no—
1161C22×Q8—731no—
1162C22×Q8—731no—
1163C22×Q8—731no—
1164C22×Q8—1461no—
1165C22×Q8—1461no—
1166C22×Q8—1461no—
1167C22×Q8—1461no—
1168C22×Q8C22×D7311yescharacteristic
1169C22×Q8C22×D7311yescharacteristic
1170C22×D4—731no—
1171C22×D4—731no—
1172C22×D4—1461no—
1173C22×D4—1461no—
1174C23×C4—731no—
1175C23×C4—1461no—
1176#137—2922no—
1177#137—2922no—
1178#137—2922no—
1179AGL(1,ℤ/8)—2922no—
1180#135—2922no—
1181C2×Q16—731no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16—731no—
1186C2×SD16—2922no—
1187C2×SD16—2922no—
1188C2×SD16—2922no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16—731no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16C22×D7311yescharacteristic
1203C2×SD16C22×D7311yescharacteristic
1204C2×SD16C22×D7311yescharacteristic
1205C2×D8—731no—
1206C2×D8—731no—
1207C2×D8—731no—
1208C2×M16—731no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16—731no—
1212C22×C8—731no—
1213C22×C8—731no—
1214C22×C8C22×D7311yescharacteristic
1215C22×C8C22×D7311yescharacteristic
1216C4⋊Q8—21no—
1217C4⋊Q8—731no—
1218C4⋊Q8—1461no—
1219C4⋊Q8—1461no—
1220C4⋊Q8—1461no—
1221C4⋊Q8—1461no—
1222C4⋊Q8C22×D7311yescharacteristic
1223C4⋊Q8C22×D7311yescharacteristic
1224#127—731no—
1225#127—1461no—
1226#127—1461no—
1227#126—1461no—
1228#126—1461no—
1229#126—1461no—
1230#125—731no—
1231#125—1461no—
1232#124—731no—
1233#124—731no—
1234#124—731no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#124—1461no—
1244#123—21no—
1245#123—21no—
1246#123—731no—
1247#123—731no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—731no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8C22×D7311yescharacteristic
1288C22⋊Q8C22×D7311yescharacteristic
1289#121—731no—
1290#121—731no—
1291#121—731no—
1292#121—731no—
1293#121—731no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121C22×D7311yescharacteristic
1319#121C22×D7311yescharacteristic
1320#120—731no—
1321#120—731no—
1322#120—1461no—
1323#120—1461no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—731no—
1334C4×Q8—1461no—
1335C4×Q8—1461no—
1336C4×Q8C22×D7311yescharacteristic
1337C4×D4—21no—
1338C4×D4—731no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4C22×D7311yescharacteristic
1357C4×D4C22×D7311yescharacteristic
1358#117—731no—
1359#117—731no—
1360#117—731no—
1361#117—731no—
1362#117—1461no—
1363#117—1461no—
1364#117—1461no—
1365#117—1461no—
1366C2×C4⋊C4C22×D7311yescharacteristic
1367C2×C4⋊C4C22×D7311yescharacteristic
1368C2×C22⋊C4—1461no—
1369C2×C22⋊C4—1461no—
1370C2×C22⋊C4—1461no—
1371#107—731no—
1372#107—731no—
1373#107—731no—
1374#107—731no—
1375#106—731no—
1376#106C22×D7311yescharacteristic
1377#106C22×D7311yescharacteristic
1378#106C22×D7311yescharacteristic
1379C4⋊C8—731no—
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8C22×D7311yescharacteristic
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103C22×D7311yescharacteristic
1397#103C22×D7311yescharacteristic
1398#103C22×D7311yescharacteristic
1399#103C22×D7311yescharacteristic
1400#103C22×D7311yescharacteristic
1401#103C22×D7311yescharacteristic
1402#103C22×D7311yescharacteristic
1403#103C22×D7311yescharacteristic
1404#103C22×D7311yescharacteristic
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102C22×D7311yescharacteristic
1415C22⋊C8—731no—
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8C22×D7311yescharacteristic
1426C22⋊C8C22×D7311yescharacteristic
1427#97—731no—
1428#97—731no—
1429C4×C8—731no—
1430C4×C8C22×D7311yescharacteristic
1431C24—731no—
1432C24—1461no—
1433C24—1461no—
1434#41—82no—
1435#41—2921no—
1436#41—2921no—
1437#41—2921no—
1438#41—2921no—
1439#41—2921no—
1440#41—2924no—
1441#41—2924no—
1442#41—2924no—
1443#41—2921no—
1444#41—2921no—
1445#41—2921no—
1446#41—2921no—
1447#41—2921no—
1448#41—1462no—
1449#41—1462no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—22no—
1454C2×Q8—22no—
1455C2×Q8—41no—
1456C2×Q8—41no—
1457C2×Q8—2921no—
1458C2×Q8—2924no—
1459C2×Q8—2924no—
1460C2×Q8—2924no—
1461C2×Q8—2921no—
1462C2×Q8—2921no—
1463C2×Q8—2921no—
1464C2×Q8—2921no—
1465C2×Q8—2921no—
1466C2×Q8—2924no—
1467C2×Q8—731no—
1468C2×Q8—731no—
1469C2×Q8—731no—
1470C2×Q8—731no—
1471C2×Q8—1462no—
1472C2×Q8—1461no—
1473C2×Q8—1461no—
1474C2×Q8—1461no—
1475C2×Q8—1461no—
1476C2×Q8—1461no—
1477C2×Q8—1462no—
1478C2×Q8—1462no—
1479C2×Q8—1462no—
1480C2×Q8—1462no—
1481C2×Q8—1462no—
1482C2×Q8—1461no—
1483C2×Q8C23×D7311yescharacteristic
1484C2×Q8C23×D7311yescharacteristic
1485C2×Q8C23×D7311yescharacteristic
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—2921no—
1489C2×D4—2921no—
1490C2×D4—2921no—
1491C2×D4—2921no—
1492C2×D4—5842no—
1493C2×D4—5842no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4D4×D7311yescharacteristic
1522C2×D4C23×D7311yescharacteristic
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—2921no—
1529C22×C4—2921no—
1530C22×C4—2924no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
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×C4C23×D7311yescharacteristic
1551C22×C4C23×D7311yescharacteristic
1552Q16—2921no—
1553Q16—2921no—
1554Q16—2921no—
1555Q16—1462no—
1556Q16—1462no—
1557SD16—22no—
1558SD16—41no—
1559SD16—41no—
1560SD16—2921no—
1561SD16—2921no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—2921no—
1568SD16—1462no—
1569SD16—1462no—
1570SD16—1462no—
1571SD16—1462no—
1572SD16—1462no—
1573D8—2921no—
1574D8—2921no—
1575D8—2921no—
1576M16—2921no—
1577M16—2921no—
1578M16—2921no—
1579M16—2921no—
1580C2×C8—41no—
1581C2×C8—41no—
1582C2×C8—2921no—
1583C2×C8—2921no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8—731no—
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C2×C8C23×D7311yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
1603C4⋊C4—731no—
1604C4⋊C4—731no—
1605C4⋊C4—731no—
1606C4⋊C4—731no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4D4×D7311yescharacteristic
1623C4⋊C4C23×D7311yescharacteristic
1624C4⋊C4C23×D7311yescharacteristic
1625C4⋊C4C23×D7311yescharacteristic
1626C4⋊C4C23×D7311yescharacteristic
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—731no—
1633C22⋊C4—731no—
1634C22⋊C4—731no—
1635C22⋊C4—731no—
1636C22⋊C4—731no—
1637C22⋊C4—731no—
1638C22⋊C4—731no—
1639C22⋊C4—731no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4D4×D7311yescharacteristic
1668C22⋊C4D4×D7311yescharacteristic
1669C42—21no—
1670C42—731no—
1671C42—1461no—
1672C42—1461no—
1673C42—1461no—
1674C42—1461no—
1675C42—1461no—
1676C42—1461no—
1677C42—1461no—
1678C42C23×D7311yescharacteristic
1679C23—21no—
1680C23—2921no—
1681C23—2921no—
1682C23—2922no—
1683C23—5841no—
1684C23—5841no—
1685C23—5841no—
1686C23—5841no—
1687C23—5841no—
1688C23—731no—
1689C23—731no—
1690C23—731no—
1691C23—1461no—
1692C23—1461no—
1693C23—1461no—
1694C23—1462no—
1695C23C2×D4×D7311yescharacteristic
1696C23C2×D4×D7311yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—42no—
1703Q8—42no—
1704Q8—81no—
1705Q8—2922no—
1706Q8—2922no—
1707Q8—2921no—
1708Q8—2922no—
1709Q8—2922no—
1710Q8—2922no—
1711Q8—732no—
1712Q8—1464no—
1713Q8—1461no—
1714Q8—1461no—
1715Q8—1461no—
1716Q8—1461no—
1717Q8—1461no—
1718Q8#1455663712yes—
1719D4—22no—
1720D4—21no—
1721D4—21no—
1722D4—42no—
1723D4—81no—
1724D4—2922no—
1725D4—2921no—
1726D4—2921no—
1727D4—2922no—
1728D4—2922no—
1729D4—2922no—
1730D4—2922no—
1731D4—2921no—
1732D4—2921no—
1733D4—2921no—
1734D4—5841no—
1735D4—5841no—
1736D4—5841no—
1737D4—5841no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—1462no—
1748D4—1461no—
1749D4—1461no—
1750D4—1461no—
1751D4—1461no—
1752D4—1461no—
1753D4—1461no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2921no—
1774C2×C4—2921no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—2922no—
1780C2×C4—2921no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—731no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—731no—
1789C2×C4—731no—
1790C2×C4—1464no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C2×D4×D7311yescharacteristic
1806C2×C4C24×D7311yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C8—1461no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—2924no—
1824C22—2921no—
1825C22—2921no—
1826C22—2921no—
1827C22—2921no—
1828C22—2921no—
1829C22—2921no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—11682no—
1834C22—11682no—
1835C22—1461no—
1836C22—1461no—
1837C22—1461no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22#1798939312yes—
1845C22C22×D4×D7311yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—22no—
1849C4—21no—
1850C4—21no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—2921no—
1861C4—1461no—
1862C4—1462no—
1863C4—1461no—
1864C4—1461no—
1865C4—1461no—
1866C4—1461no—
1867C4H(5,𝔽2)×D7311yescharacteristic
1868C4C2×#1455663711yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—81no—
1872C2—2921no—
1873C2—2921no—
1874C2—2921no—
1875C2—5841no—
1876C2—5841no—
1877C2—5841no—
1878C2#2262356111yescharacteristic
1879C2C2×#1798939311yescharacteristic
1880C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3298C2
socleC22×C73C23×D4
hypercenter#3298D73
hypocenterC73#61611
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3298

Complements

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

NH ≅ G/Ntype
1. #22624248C2semidirect
2. #22623581C2semidirect
3. #22622224C2semidirect
4. #22622187C2semidirect
5. #22622114C2semidirect
6. #22622098C2semidirect
7. #22621980C2semidirect
8. #22621916C2semidirect
9. #22621814C2semidirect
10. #22621643C2semidirect
11. #22621624C2semidirect
12. #22621595C2semidirect
13. #22621564C2semidirect
14. #22621513C2semidirect
15. #22621447C2semidirect
16. #22621442C2semidirect
17. #22621419C2semidirect
18. #22621043C2semidirect
19. #22620991C2semidirect
20. #22620820C2semidirect
21. #22620797C2semidirect
22. #22620750C2semidirect
23. #22620720C2semidirect
24. #22620219C2semidirect
25. #22620167C2semidirect
26. #22619251C2semidirect
27. #22619212C2semidirect
28. #22619162C2semidirect
29. C2×#17988727C2semidirect
30. #22618973C2semidirect
31. C73×#3298C2semidirect
32. C2×#14556639C22semidirect
33. C22×Q8×D73C22semidirect
34. C2×#14556622C22semidirect
35. C2×#14556620C22semidirect
36. C2×#14556620C22semidirect
37. C2×#14556618C22semidirect
38. C2×#14556613C22semidirect
41. C2×SD16×D73C22semidirect
50. #17989252C22semidirect
51. Q8×C22⋊D73C22semidirect
54. #17989249C22semidirect
57. #17989247C22semidirect
59. #17989246C22semidirect
70. #17989162C22semidirect
72. #17989160C22semidirect
77. #17989100C22semidirect
82. #17989063C22semidirect
83. #17988979C22semidirect
84. #17988973C22semidirect
85. #17988971C22semidirect
86. #17988958C22semidirect
87. #17988954C22semidirect
88. #17988949C22semidirect
89. #17988943C22semidirect
90. #17988931C22semidirect
91. #17988931C22semidirect
92. #17988926C22semidirect
93. #17988926C22semidirect
94. #17988922C22semidirect
96. #17988913C22semidirect
97. #17988913C22semidirect
98. #17988910C22semidirect
99. #17988900C22semidirect
100. #17988897C22semidirect
101. #17988892C22semidirect
102. #17988879C22semidirect
103. #17988846C22semidirect
105. #17988841C22semidirect
107. #17988836C22semidirect
108. #17988836C22semidirect
109. #17988835C22semidirect
110. #17988831C22semidirect
111. #17988827C22semidirect
112. #17988826C22semidirect
114. #17988817C22semidirect
115. #17988816C22semidirect
116. #17988816C22semidirect
117. #17988812C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988805C22semidirect
121. #17988803C22semidirect
122. #17988802C22semidirect
123. #17988796C22semidirect
124. #17988791C22semidirect
125. #17988789C22semidirect
126. #17988786C22semidirect
127. #17988785C22semidirect
128. #17988752C22semidirect
129. #17988752C22semidirect
130. #17988751C22semidirect
131. #17988747C22semidirect
132. #17988746C22semidirect
133. #17988745C22semidirect
134. #17988744C22semidirect
135. #17988744C22semidirect
136. #17988744C22semidirect
137. #17988743C22semidirect
138. #17988739C22semidirect
140. #17988736C22semidirect
142. #17988735C22semidirect
143. #17988735C22semidirect
144. #17988734C22semidirect
145. #17988733C22semidirect
146. #17988731C22semidirect
147. #17988730C22semidirect
152. #17988727C22semidirect
153. #17988727C22semidirect
154. #17988727C22semidirect
155. #17988727C22semidirect
156. #17988727C22semidirect
157. #17988726C22semidirect
159. #17988724C22semidirect
160. #17988724C22semidirect
162. #17988693C22semidirect
163. #17988690C22semidirect
164. #17988687C22semidirect
165. #17988685C22semidirect
166. #17988679C22semidirect
167. C4×#11924017C22semidirect
168. #17988674C22semidirect
169. #17988666C22semidirect
170. #17988662C22semidirect
171. #17988659C22semidirect
172. #17988658C22semidirect
173. #17988657C22semidirect
176. #17988647C22semidirect
177. #17988646C22semidirect
178. #17988594C22semidirect
179. #17988594C22semidirect
180. #17988594C22semidirect
181. #17988586C22semidirect
182. #17988582C22semidirect
183. C2×#14556514C22semidirect
184. #17988553C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. C2×#14556503C22semidirect
188. D4×Q8×C73C22semidirect
190. #487×C73C22semidirect
191. #483×C73C22semidirect
192. #483×C73C22semidirect
193. #475×C73C22semidirect
195. #465×C73C22semidirect
196. #461×C73C22semidirect
198. #448×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
201. C2×#103×C73C22semidirect
202. C2×#103×C73C22semidirect
950. #3298D73semidirect
972. C73#61611semidirect
995. D4×Q8C2×D73semidirect
1033. #487C2×D73semidirect
1039. #483C2×D73semidirect
1040. #483C2×D73semidirect
1049. #475C2×D73semidirect
1065. #465C2×D73semidirect
1075. #461C2×D73semidirect
1112. #448C2×D73semidirect
1121. C4×SD16C2×D73semidirect
1129. C8×D4C2×D73semidirect
1138. C2×#103C2×D73semidirect
1139. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242482
#226235812
#226222242
#226221872
#226221142
#226220982
#226219802
#226219162
#226218142
#226216432
#226216242
#226215952
#226215642
#226215132
#226214472
#226214422
#226214192
#226210432
#226209912
#226208202
#226207972
#226207502
#226207202
#226202192
#226201672
#226192512
#226192122
#226191622
C2×#179887272
#226189732
C73×#32982
#6161173