Finite Group Databasebeta

← #33967988

Subgroups — #33967988

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#22623537C211yesmaximal, characteristic, complemented
2#22623498C211yesmaximal, characteristic, complemented
3#22622996C211yesmaximal, characteristic, complemented
4#22622886C211yesmaximal, characteristic, complemented
5#22622753C211yesmaximal, characteristic, complemented
6#22622683C211yesmaximal, characteristic, complemented
7#22622430C211yesmaximal, characteristic, complemented
8#22622392C211yesmaximal, characteristic, complemented
9#22622316C211yesmaximal, characteristic, complemented
10#22622086C211yesmaximal, characteristic, complemented
11#22622018C211yesmaximal, characteristic, complemented
12#22621958C211yesmaximal, characteristic, complemented
13#22621906C211yesmaximal, characteristic, complemented
14#22621787C211yesmaximal, characteristic, complemented
15#22621772C211yesmaximal, characteristic, complemented
16#22621613C211yesmaximal, characteristic, complemented
17#22621455C211yesmaximal, characteristic, complemented
18#22621408C211yesmaximal, characteristic, complemented
19#22620663C211yesmaximal, characteristic, complemented
20#22620625C211yesmaximal, characteristic, complemented
21#22620080C211yesmaximal, characteristic, complemented
22#22620073C211yesmaximal, characteristic, complemented
23#22620065C211yesmaximal, characteristic, complemented
24#22620046C211yesmaximal, characteristic, complemented
25#22620046C211yesmaximal, characteristic, complemented
26#22620026C211yesmaximal, characteristic, complemented
27#22618942C211yesmaximal, characteristic, complemented
28#22618736C211yesmaximal, characteristic, complemented
29#22618730C211yesmaximal, characteristic, complemented
30C2×#17988700C211yesmaximal, characteristic, complemented
31C73×#3181C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556614C2211yescharacteristic
34C22×D584C2211yescharacteristic
35#17989319C2211yescharacteristic, complemented
36#17989311C2211yescharacteristic, complemented
37#17989303C2211yescharacteristic, complemented
38#17989298C2211yescharacteristic, complemented
39#17989295C2211yescharacteristic
40#17989293C2211yescharacteristic, complemented
41#17989290—21no—
42#17989290C2211yescharacteristic, complemented
43#17989289C2211yescharacteristic
44#17989288—21no—
45#17989279C2211yescharacteristic
46#17989279C2211yescharacteristic, complemented
47#17989275—21no—
48#17989264—21no—
49#17989264—21no—
50#17989262—21no—
51#17989260—21no—
52#17989240C2211yescharacteristic, complemented
53#17989230C2211yescharacteristic, complemented
54#17989229—21no—
55#17989228C2211yescharacteristic
56#17989228C2211yescharacteristic
57#17989228C2211yescharacteristic, complemented
58#17989221C2211yescharacteristic
59#17989134C2211yescharacteristic, complemented
60#17989124—21no—
61#17989124—21no—
62#17989124C2211yescharacteristic, complemented
63#17989124C2211yescharacteristic, complemented
64#17989124C2211yescharacteristic, complemented
65#17989115—21no—
66#17989099—21no—
67#17989099—21no—
68#17989096—21no—
69C4×#11924029C2211yescharacteristic, complemented
70C4×#11924029C2211yescharacteristic, complemented
71C4×#11924029C2211yescharacteristic, complemented
72C4×#11924028C2211yescharacteristic
73C2×C4×D292C2211yescharacteristic
74C2×C4×D292C2211yescharacteristic, complemented
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic, complemented
77#117×D73—21no—
78#17988995C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic
81#17988972C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988943C2211yescharacteristic, complemented
86#17988926C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988920C2211yescharacteristic, complemented
89#17988920C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988915C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988898C2211yescharacteristic
98#17988892C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988886C2211yescharacteristic, complemented
104#17988884C2211yescharacteristic, complemented
105#17988884C2211yescharacteristic, complemented
106#17988870C2211yescharacteristic, complemented
107#17988866C2211yescharacteristic, complemented
108#17988864C2211yescharacteristic, complemented
109#17988864C2211yescharacteristic, complemented
110#17988842C2211yescharacteristic, complemented
111#17988841C2211yescharacteristic
112#17988836C2211yescharacteristic, complemented
113#17988836C2211yescharacteristic, complemented
114#17988824C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988819C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic
121#17988805C2211yescharacteristic
122#17988805C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic, complemented
126#17988789C2211yescharacteristic, complemented
127#17988789C2211yescharacteristic, complemented
128#17988785C2211yescharacteristic, complemented
129#17988781C2211yescharacteristic
130#17988748C2211yescharacteristic, complemented
131#17988748C2211yescharacteristic, complemented
132#17988737C2211yescharacteristic
133#17988737C2211yescharacteristic
134#17988737C2211yescharacteristic, complemented
135#17988736C2211yescharacteristic, complemented
136#17988735C2211yescharacteristic
137#17988735C2211yescharacteristic
138#17988735C2211yescharacteristic, complemented
139#17988731C2211yescharacteristic, complemented
140#17988722C2211yescharacteristic
141#17988720C2211yescharacteristic
142#17988715C2211yescharacteristic, complemented
143#17988715C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic
146#17988700C2211yescharacteristic
147#17988700C2211yescharacteristic
148#17988700C2211yescharacteristic, complemented
149#17988700C2211yescharacteristic, complemented
150#17988700C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic, complemented
152#17988698C2211yescharacteristic
153#17988697C2211yescharacteristic, complemented
154#17988697C2211yescharacteristic, complemented
155#17988694C2211yescharacteristic, complemented
156#17988690C2211yescharacteristic, complemented
157#17988690C2211yescharacteristic, complemented
158#17988685C2211yescharacteristic, complemented
159#17988685C2211yescharacteristic, complemented
160#17988685C2211yescharacteristic, complemented
161#17988685C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic
167#17988667C2211yescharacteristic, complemented
168#17988660C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic
171#17988658C2211yescharacteristic
172C8×C22⋊D73C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988644C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988628C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179C2×#14556523C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic, complemented
181#17988587C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183#17988582C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic
185C2×#14556513C2211yescharacteristic, complemented
186#17988539C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#533×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#497×C73C2211yescharacteristic, complemented
192#491×C73C2211yescharacteristic, complemented
193#489×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic, complemented
195#467×C73C2211yescharacteristic, complemented
196#465×C73C2211yescharacteristic
197#465×C73C2211yescharacteristic
198#441×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028D411yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556618—24no—
216#14556614—24no—
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×D584—24no—
224C2×D584C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556587C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556584—21no—
245#14556582—21no—
246#14556582—21no—
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556581—21no—
251#14556580—21no—
252#14556580—21no—
253#14556580C2311yescharacteristic
254#14556580C2311yescharacteristic
255#14556580C2311yescharacteristic
256#14556577—21no—
257#14556577—21no—
258#14556576—21no—
259#14556576—21no—
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556575—21no—
268#14556575—21no—
269#14556575—21no—
270#14556575—21no—
271#14556573—21no—
272#14556573—21no—
273#14556571—21no—
274#14556571—21no—
275#14556571—21no—
276#14556571—21no—
277#14556569—21no—
278#14556569—21no—
279#14556568—21no—
280#14556567—21no—
281#14556567—21no—
282#14556567C2311yescharacteristic
283#14556567C2311yescharacteristic
284#14556567C2311yescharacteristic
285#14556566—21no—
286#14556566—21no—
287#14556566—21no—
288#14556566—21no—
289#14556566—21no—
290#14556566—21no—
291#14556566C2311yescharacteristic
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556566C2311yescharacteristic
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556563—21no—
299#14556562C2311yescharacteristic
300#14556561—21no—
301#14556561—21no—
302#14556561—21no—
303#14556561—21no—
304#14556561—21no—
305#14556559—21no—
306Q8×Dic73C2311yescharacteristic
307Q8×Dic73C2311yescharacteristic
308Q8×Dic73C2311yescharacteristic
309C4×Dic146D411yescharacteristic
310C4×Dic146C2311yescharacteristic
311C4×D292—21no—
312C4×D292—21no—
313C4×D292—21no—
314C4×D292—21no—
315C4×D292—21no—
316C4×D292—21no—
317C4×D292—21no—
318C4×D292—21no—
319C4×D292—21no—
320C4×D292—21no—
321C4×D292D411yescharacteristic
322C4×D292C2311yescharacteristic
323C4×D292C2311yescharacteristic
324C4×D292C2311yescharacteristic
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331D4×Dic73—21no—
332D4×Dic73C2311yescharacteristic
333#14556553—21no—
334#14556553—21no—
335#14556553—21no—
336#14556553—21no—
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73D411yescharacteristic
344C4×C22⋊D73D411yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556550D411yescharacteristic
351#14556549—21no—
352#14556549—21no—
353#14556549—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548D411yescharacteristic
363#14556548D411yescharacteristic
364#14556547—21no—
365#14556547—21no—
366C2×C4⋊Dic73C2311yescharacteristic
367C2×C4⋊Dic73C2311yescharacteristic
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73C2311yescharacteristic
372C2×#11924005—21no—
373C2×#11924005—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C42×D73—21no—
380C42×D73—21no—
381C42×D73—21no—
382C42×D73C2311yescharacteristic
383C42×D73C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×Q16×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#126×C73—21no—
447#125×C73—21no—
448#125×C73C2311yescharacteristic
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454C22⋊Q8×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456C4×Q8×C73—21no—
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×Q8×C73C2311yescharacteristic
460C4×D4×C73—21no—
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463#117×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—22no—
486#11924029—22no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924028—42no—
491#11924028—82no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×D292—22no—
495C2×D292—22no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—41no—
506C2×D292—41no—
507C2×D292C2×D411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×D292C2411yescharacteristic
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73C2×D411yescharacteristic
517C2×C22⋊D73C2×D411yescharacteristic
518D4×D73—22no—
519D4×D73—41no—
520D4×D73—44no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
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—44no—
541C2×C4×D73—82no—
542C2×C4×D73—82no—
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549#11924015—22no—
550#11924015—22no—
551#11924015—22no—
552#11924015—41no—
553#11924015—41no—
554#11924015—41no—
555D584—22no—
556D584—22no—
557D584—22no—
558D584#4114yescomplemented
559#11924013—22no—
560#11924013—41no—
561#11924011—22no—
562#11924011—41no—
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C8×D73—22no—
568C8×D73—41no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73C2×D411yescharacteristic
578C4⋊Dic73C2×D411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581C4⋊Dic73C2411yescharacteristic
582C4⋊Dic73C2411yescharacteristic
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⋊Dic73—21no—
597C22⋊Dic73C2×D411yescharacteristic
598C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
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×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C2×Q8×C73—21no—
644C2×Q8×C73C2411yescharacteristic
645C2×Q8×C73C2411yescharacteristic
646C2×Q8×C73C2411yescharacteristic
647C2×D4×C73—21no—
648C2×D4×C73C2411yescharacteristic
649C22×C4×C73—21no—
650C22×C4×C73C2×D411yescharacteristic
651C22×C4×C73C2×D411yescharacteristic
652C22×C4×C73C2411yescharacteristic
653Q16×C73—22no—
654Q16×C73—41no—
655SD16×C73—22no—
656SD16×C73—41no—
657C2×C8×C73—22no—
658C2×C8×C73—41no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
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×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73C22×D411yescharacteristic
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713Q8×C73—21no—
714Q8×C73—21no—
715Q8×C73—81no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—42no—
719C2×C4×C73—22no—
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—21no—
728C2×C4×C73—21no—
729C2×C4×C73—41no—
730C2×C4×C73—42no—
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C2511yescharacteristic
737C22⋊D73—22no—
738C22⋊D73—22no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—42no—
748C2×Dic73—81no—
749C2×Dic73—81no—
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756D292—21no—
757D292—21no—
758D292—21no—
759D292—21no—
760D292—21no—
761D292—21no—
762D292—41no—
763D292—42no—
764D292—42no—
765D292—42no—
766D292—42no—
767D292—42no—
768D292—42no—
769D292—81no—
770D292—81no—
771D292—81no—
772D292C2×#4112yes—
773D292C2×#4112yes—
774C4×D73—21no—
775C4×D73—21no—
776C4×D73—21no—
777C4×D73—21no—
778C4×D73—41no—
779C4×D73—41no—
780C4×D73—41no—
781C4×D73—41no—
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—42no—
791C4×D73—42no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
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—41no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73#57512yes—
814C22×C73C23×D411yescharacteristic
815C2×D73—21no—
816C2×D73—21no—
817C2×D73—21no—
818C2×D73—21no—
819C2×D73—22no—
820C2×D73—22no—
821C2×D73—21no—
822C2×D73—21no—
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—21no—
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—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—22no—
862C2×C73—81no—
863C2×C73D4×#4111yescharacteristic
864C2×C73C2×#57511yescharacteristic
865C2×C73#358511yescharacteristic
866D73—41no—
867D73—41no—
868D73—42no—
869D73—42no—
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#3344—731no—
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#3181D7311yescharacteristic, complemented
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#554—731no—
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
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#533C2×D7311yescharacteristic, complemented
932#532—731no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—1461no—
937#529—1461no—
938#529—1461no—
939#529C2×D7311yescharacteristic
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#497C2×D7311yescharacteristic, complemented
956#496—731no—
957#495—731no—
958#491C2×D7311yescharacteristic, complemented
959#490—731no—
960#489—731no—
961#489C2×D7311yescharacteristic, complemented
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478—731no—
984#475—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#470—731no—
989#469—731no—
990#468—731no—
991#468—731no—
992#467C2×D7311yescharacteristic, complemented
993#467C2×D7311yescharacteristic, complemented
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465C2×D7311yescharacteristic
999#465C2×D7311yescharacteristic
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#441C2×D7311yescharacteristic, complemented
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#440C2×D7311yescharacteristic, complemented
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435—731no—
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#427—731no—
1065C2×#106—731no—
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×#97C2×D7311yescharacteristic, complemented
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×Q16C22×D7311yescharacteristic
1090C2×Q16C22×D7311yescharacteristic
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
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×M16—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8C22×D7311yescharacteristic
1111C22×C8C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8C22×D7311yescharacteristic
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—731no—
1128#125—731no—
1129#125—731no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—1461no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124C22×D7311yescharacteristic
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—731no—
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⋊Q8—1461no—
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—1461no—
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#121C22×D7311yescharacteristic
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—21no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8C22×D7311yescharacteristic
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—21no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—731no—
1253#117—731no—
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#117—1461no—
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
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—1461no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42C22×D7311yescharacteristic
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8—731no—
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#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342C22⋊C8—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97C22×D7311yescharacteristic
1348#97C22×D7311yescharacteristic
1349#97C22×D7311yescharacteristic
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8—731no—
1353C24—1461no—
1354C24—1461no—
1355C24—1461no—
1356#41—2922no—
1357#41—2921no—
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—1461no—
1367C2×Q8C23×D7311yescharacteristic
1368C2×Q8C23×D7311yescharacteristic
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—21no—
1371C2×D4—2921no—
1372C2×D4—2921no—
1373C2×D4—2924no—
1374C2×D4—2921no—
1375C2×D4—731no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1462no—
1387C2×D4—1462no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1462no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—2924no—
1401C22×C4—5842no—
1402C22×C4—5842no—
1403C22×C4—731no—
1404C22×C4—731no—
1405C22×C4—731no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—1461no—
1410C22×C4—1461no—
1411C22×C4—1461no—
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×C4D4×D7311yescharacteristic
1429C22×C4D4×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—22no—
1432Q16—41no—
1433SD16—22no—
1434SD16—41no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—2921no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—2921no—
1442D8—734no—
1443D8—1462no—
1444D8—1462no—
1445D8—1462no—
1446D8—1462no—
1447M16—2921no—
1448M16—1462no—
1449C2×C8—22no—
1450C2×C8—41no—
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—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
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⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
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—21no—
1508C22⋊C4—21no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
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⋊C4—1461no—
1544C22⋊C4—1461no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42D4×D7311yescharacteristic
1561C42D4×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—2922no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—2922no—
1571C23—5841no—
1572C23—5841no—
1573C23—5841no—
1574C23—731no—
1575C23—731no—
1576C23—1461no—
1577C23—1461no—
1578C23—1461no—
1579C23—1461no—
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—81no—
1588Q8—2921no—
1589Q8—5841no—
1590D4—21no—
1591D4—21no—
1592D4—42no—
1593D4—2922no—
1594D4—2922no—
1595D4—2921no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—5841no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—732no—
1608D4—732no—
1609D4—1462no—
1610D4—1462no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—22no—
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—41no—
1628C2×C4—42no—
1629C2×C4—2922no—
1630C2×C4—2922no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2921no—
1636C2×C4—2921no—
1637C2×C4—2921no—
1638C2×C4—2921no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2922no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
1657C2×C4—731no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4C2×D4×D7311yescharacteristic
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—41no—
1683C22—41no—
1684C22—41no—
1685C22—2921no—
1686C22—2921no—
1687C22—2921no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—5844no—
1696C22—5844no—
1697C22—5844no—
1698C22—1461no—
1699C22—1461no—
1700C22—1462no—
1701C22—1462no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22#1798938612yes—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C2×#41×D7311yescharacteristic
1731C4#1798942311yescharacteristic
1732C2—22no—
1733C2—81no—
1734C2—2922no—
1735C2—2922no—
1736C2—2921no—
1737C2—2921no—
1738C2—5841no—
1739C2—5841no—
1740C2#2262341711yescharacteristic
1741C2C2×#1798938611yescharacteristic
1742C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3181C2
socleC22×C73C23×D4
hypercenter#3181D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3181

Complements

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

NH ≅ G/Ntype
1. #22623537C2semidirect
2. #22623498C2semidirect
3. #22622996C2semidirect
4. #22622886C2semidirect
5. #22622753C2semidirect
6. #22622683C2semidirect
7. #22622430C2semidirect
8. #22622392C2semidirect
9. #22622316C2semidirect
10. #22622086C2semidirect
11. #22622018C2semidirect
12. #22621958C2semidirect
13. #22621906C2semidirect
14. #22621787C2semidirect
15. #22621772C2semidirect
16. #22621613C2semidirect
17. #22621455C2semidirect
18. #22621408C2semidirect
19. #22620663C2semidirect
20. #22620625C2semidirect
21. #22620080C2semidirect
22. #22620073C2semidirect
23. #22620065C2semidirect
24. #22620046C2semidirect
25. #22620046C2semidirect
26. #22620026C2semidirect
27. #22618942C2semidirect
28. #22618736C2semidirect
29. #22618730C2semidirect
30. C2×#17988700C2semidirect
31. C73×#3181C2semidirect
35. #17989319C22semidirect
36. #17989311C22semidirect
37. #17989303C22semidirect
38. #17989298C22semidirect
40. #17989293C22semidirect
42. #17989290C22semidirect
46. #17989279C22semidirect
52. #17989240C22semidirect
53. #17989230C22semidirect
57. #17989228C22semidirect
59. #17989134C22semidirect
62. #17989124C22semidirect
63. #17989124C22semidirect
64. #17989124C22semidirect
69. C4×#11924029C22semidirect
70. C4×#11924029C22semidirect
71. C4×#11924029C22semidirect
74. C2×C4×D292C22semidirect
76. C4×D4×D73C22semidirect
78. #17988995C22semidirect
79. #17988987C22semidirect
81. #17988972C22semidirect
82. #17988950C22semidirect
83. #17988948C22semidirect
84. #17988943C22semidirect
85. #17988943C22semidirect
86. #17988926C22semidirect
87. #17988926C22semidirect
88. #17988920C22semidirect
89. #17988920C22semidirect
90. #17988916C22semidirect
91. #17988915C22semidirect
92. #17988914C22semidirect
93. #17988913C22semidirect
94. #17988913C22semidirect
95. #17988910C22semidirect
96. #17988902C22semidirect
98. #17988892C22semidirect
99. #17988892C22semidirect
100. #17988890C22semidirect
101. #17988889C22semidirect
102. #17988886C22semidirect
103. #17988886C22semidirect
104. #17988884C22semidirect
105. #17988884C22semidirect
106. #17988870C22semidirect
107. #17988866C22semidirect
108. #17988864C22semidirect
109. #17988864C22semidirect
110. #17988842C22semidirect
112. #17988836C22semidirect
113. #17988836C22semidirect
114. #17988824C22semidirect
115. #17988822C22semidirect
116. #17988819C22semidirect
117. #17988813C22semidirect
118. #17988811C22semidirect
119. #17988811C22semidirect
122. #17988805C22semidirect
123. #17988804C22semidirect
124. #17988799C22semidirect
125. #17988799C22semidirect
126. #17988789C22semidirect
127. #17988789C22semidirect
128. #17988785C22semidirect
130. #17988748C22semidirect
131. #17988748C22semidirect
134. #17988737C22semidirect
135. #17988736C22semidirect
138. #17988735C22semidirect
139. #17988731C22semidirect
142. #17988715C22semidirect
143. #17988715C22semidirect
148. #17988700C22semidirect
149. #17988700C22semidirect
150. #17988700C22semidirect
151. #17988700C22semidirect
153. #17988697C22semidirect
154. #17988697C22semidirect
155. #17988694C22semidirect
156. #17988690C22semidirect
157. #17988690C22semidirect
158. #17988685C22semidirect
159. #17988685C22semidirect
160. #17988685C22semidirect
161. #17988685C22semidirect
162. #17988685C22semidirect
163. #17988685C22semidirect
164. SD16×Dic73C22semidirect
165. #17988672C22semidirect
167. #17988667C22semidirect
168. #17988660C22semidirect
169. #17988660C22semidirect
172. C8×C22⋊D73C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988644C22semidirect
175. #17988642C22semidirect
176. #17988642C22semidirect
177. #17988628C22semidirect
178. #17988622C22semidirect
179. C2×#14556523C22semidirect
180. #17988590C22semidirect
181. #17988587C22semidirect
182. #17988582C22semidirect
183. #17988582C22semidirect
185. C2×#14556513C22semidirect
186. #17988539C22semidirect
187. #97×D73C22semidirect
188. #533×C73C22semidirect
190. #501×C73C22semidirect
191. #497×C73C22semidirect
192. #491×C73C22semidirect
193. #489×C73C22semidirect
194. #467×C73C22semidirect
195. #467×C73C22semidirect
198. #441×C73C22semidirect
199. #441×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. C2×#97×C73C22semidirect
558. D584#41semidirect
891. #3181D73semidirect
903. C73#61454semidirect
931. #533C2×D73semidirect
953. #501C2×D73semidirect
955. #497C2×D73semidirect
958. #491C2×D73semidirect
961. #489C2×D73semidirect
992. #467C2×D73semidirect
993. #467C2×D73semidirect
1038. #441C2×D73semidirect
1039. #441C2×D73semidirect
1048. #440C2×D73semidirect
1049. #440C2×D73semidirect
1074. C2×#97C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235372
#226234982
#226229962
#226228862
#226227532
#226226832
#226224302
#226223922
#226223162
#226220862
#226220182
#226219582
#226219062
#226217872
#226217722
#226216132
#226214552
#226214082
#226206632
#226206252
#226200802
#226200732
#226200652
#226200462
#226200262
#226189422
#226187362
#226187302
C2×#179887002
C73×#31812
#6145473