Finite Group Databasebeta

← #33967997

Subgroups — #33967997

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623549C211yesmaximal, characteristic, complemented
2#22623487C211yesmaximal, characteristic, complemented
3#22623007C211yesmaximal, characteristic, complemented
4#22622871C211yesmaximal, characteristic, complemented
5#22622772C211yesmaximal, characteristic, complemented
6#22622753C211yesmaximal, characteristic, complemented
7#22622452C211yesmaximal, characteristic, complemented
8#22622370C211yesmaximal, characteristic, complemented
9#22622294C211yesmaximal, characteristic, complemented
10#22622123C211yesmaximal, characteristic, complemented
11#22622033C211yesmaximal, characteristic, complemented
12#22621981C211yesmaximal, characteristic, complemented
13#22621891C211yesmaximal, characteristic, complemented
14#22621813C211yesmaximal, characteristic, complemented
15#22621761C211yesmaximal, characteristic, complemented
16#22621645C211yesmaximal, characteristic, complemented
17#22621483C211yesmaximal, characteristic, complemented
18#22621440C211yesmaximal, characteristic, complemented
19#22620656C211yesmaximal, characteristic, complemented
20#22620638C211yesmaximal, characteristic, complemented
21#22620100C211yesmaximal, characteristic, complemented
22#22620087C211yesmaximal, characteristic, complemented
23#22620073C211yesmaximal, characteristic, complemented
24#22620059C211yesmaximal, characteristic, complemented
25#22620046C211yesmaximal, characteristic, complemented
26#22620034C211yesmaximal, characteristic, complemented
27#22618942C211yesmaximal, characteristic, complemented
28#22618747C211yesmaximal, characteristic, complemented
29#22618733C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3181C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic
33C2×#14556613C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989312C2211yescharacteristic, complemented
36#17989311C2211yescharacteristic, complemented
37#17989308—21no—
38#17989306C2211yescharacteristic
39#17989301C2211yescharacteristic
40#17989293C2211yescharacteristic
41#17989282—21no—
42#17989275C2211yescharacteristic
43#17989273—21no—
44#17989271C2211yescharacteristic
45#17989271C2211yescharacteristic
46#17989271C2211yescharacteristic, complemented
47#17989269—21no—
48#17989269—21no—
49#17989265—21no—
50#17989262—21no—
51#17989252C2211yescharacteristic
52#17989247C2211yescharacteristic
53#17989247C2211yescharacteristic, complemented
54#17989240C2211yescharacteristic
55#17989239—21no—
56#17989239C2211yescharacteristic
57#17989234C2211yescharacteristic
58#17989230C2211yescharacteristic
59#17989141—21no—
60#17989141C2211yescharacteristic
61#17989124C2211yescharacteristic
62#17989124C2211yescharacteristic, complemented
63#17989119—21no—
64#17989119C2211yescharacteristic
65#17989115—21no—
66#17989115—21no—
67#17989115—21no—
68#17989096—21no—
69C4×#11924029—21no—
70C4×#11924029C2211yescharacteristic
71C4×#11924028C2211yescharacteristic
72C4×#11924028C2211yescharacteristic
73C4×#11924028C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic
75C4×Q8×D73C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic
77#117×D73—21no—
78#17988994C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988980C2211yescharacteristic, complemented
81#17988968C2211yescharacteristic
82#17988954C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic
86#17988926C2211yescharacteristic, complemented
87#17988925C2211yescharacteristic, complemented
88#17988925C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988919C2211yescharacteristic
92#17988916C2211yescharacteristic
93#17988916C2211yescharacteristic
94#17988913C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic
96#17988904C2211yescharacteristic
97#17988902C2211yescharacteristic
98#17988893C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic
103#17988889C2211yescharacteristic
104#17988886C2211yescharacteristic
105#17988884C2211yescharacteristic, complemented
106#17988879C2211yescharacteristic, complemented
107#17988874C2211yescharacteristic
108#17988871C2211yescharacteristic, complemented
109#17988870C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic
112#17988834C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic
114#17988827C2211yescharacteristic
115#17988825C2211yescharacteristic
116#17988819C2211yescharacteristic
117#17988817C2211yescharacteristic
118#17988811C2211yescharacteristic, complemented
119#17988808C2211yescharacteristic
120#17988807C2211yescharacteristic
121#17988806C2211yescharacteristic
122#17988805C2211yescharacteristic
123#17988805C2211yescharacteristic
124#17988804C2211yescharacteristic
125#17988799C2211yescharacteristic
126#17988796C2211yescharacteristic, complemented
127#17988795C2211yescharacteristic, complemented
128#17988794C2211yescharacteristic, complemented
129#17988789C2211yescharacteristic
130#17988748C2211yescharacteristic
131#17988747C2211yescharacteristic
132#17988747C2211yescharacteristic
133#17988747C2211yescharacteristic, complemented
134#17988744C2211yescharacteristic
135#17988744C2211yescharacteristic, complemented
136#17988741C2211yescharacteristic
137#17988736C2211yescharacteristic
138#17988735C2211yescharacteristic
139#17988730C2211yescharacteristic
140#17988724C2211yescharacteristic
141#17988722C2211yescharacteristic
142#17988715C2211yescharacteristic, complemented
143#17988715C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic
146#17988697C2211yescharacteristic
147#17988695C2211yescharacteristic, complemented
148#17988695C2211yescharacteristic, complemented
149#17988692C2211yescharacteristic, complemented
150#17988692C2211yescharacteristic, complemented
151#17988692C2211yescharacteristic, complemented
152#17988690C2211yescharacteristic
153#17988689C2211yescharacteristic
154#17988689C2211yescharacteristic
155#17988689C2211yescharacteristic, complemented
156#17988689C2211yescharacteristic, complemented
157#17988688C2211yescharacteristic
158#17988687C2211yescharacteristic
159#17988686C2211yescharacteristic
160#17988685C2211yescharacteristic
161#17988685C2211yescharacteristic
162#17988685C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic
164Q16×Dic73C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic
167#17988672C2211yescharacteristic
168#17988660C2211yescharacteristic
169#17988660C2211yescharacteristic
170#17988658C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic
173C8×C22⋊D73C2211yescharacteristic
174#17988644C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic
176#17988642C2211yescharacteristic, complemented
177#17988626C2211yescharacteristic, complemented
178#17988625C2211yescharacteristic, complemented
179#107×D73C2211yescharacteristic
180#17988594C2211yescharacteristic, complemented
181#17988587C2211yescharacteristic
182#17988584C2211yescharacteristic
183#17988584C2211yescharacteristic, complemented
184#103×D73C2211yescharacteristic
185#102×D73C2211yescharacteristic
186#17988539C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic
188#533×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#497×C73C2211yescharacteristic
192#491×C73C2211yescharacteristic, complemented
193#489×C73C2211yescharacteristic
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
201#440×C73C2211yescharacteristic
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028D411yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212#14556623—24no—
213#14556613—24no—
214C2×Dic292C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224SD16×D73—24no—
225C2×D584C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556590—21no—
232#14556590C2311yescharacteristic
233#14556589—21no—
234#14556589C2311yescharacteristic
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556582—21no—
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556580C2311yescharacteristic
257#14556580C2311yescharacteristic
258#14556578—21no—
259#14556578C2311yescharacteristic
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556571—21no—
277#14556571—21no—
278#14556571C2311yescharacteristic
279#14556571C2311yescharacteristic
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556568—21no—
288#14556567—21no—
289#14556567C2311yescharacteristic
290#14556567C2311yescharacteristic
291#14556567C2311yescharacteristic
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556564—21no—
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556563—21no—
299#14556562—21no—
300#14556562C2311yescharacteristic
301#14556561—21no—
302#14556559—21no—
303Q8×Dic73—21no—
304Q8×Dic73C2311yescharacteristic
305Q8×Dic73C2311yescharacteristic
306Q8×Dic73C2311yescharacteristic
307C4×Dic146—21no—
308C4×Dic146—21no—
309C4×Dic146—21no—
310C4×Dic146D411yescharacteristic
311C4×Dic146C2311yescharacteristic
312C4×Dic146C2311yescharacteristic
313C4×Dic146C2311yescharacteristic
314C4×Dic146C2311yescharacteristic
315C4×Dic146C2311yescharacteristic
316#14556556—21no—
317#14556556—21no—
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320C4×D292—21no—
321C4×D292—21no—
322C4×D292—21no—
323C4×D292D411yescharacteristic
324C4×D292C2311yescharacteristic
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329D4×Dic73C2311yescharacteristic
330#14556553—21no—
331#14556553—21no—
332#14556553—21no—
333#14556553—21no—
334#14556553C2311yescharacteristic
335#14556553C2311yescharacteristic
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73D411yescharacteristic
343C4×C22⋊D73D411yescharacteristic
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556550—21no—
348#14556550D411yescharacteristic
349#14556550C2311yescharacteristic
350#14556550C2311yescharacteristic
351#14556549—21no—
352#14556549—21no—
353#14556549—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549—21no—
357#14556549C2311yescharacteristic
358#14556548—21no—
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548D411yescharacteristic
364#14556548D411yescharacteristic
365#14556547—21no—
366#14556547—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73C2311yescharacteristic
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C42×D73—21no—
378C42×D73—21no—
379C42×D73—21no—
380C42×D73—21no—
381C42×D73—21no—
382C42×D73C2311yescharacteristic
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
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—
482#11924029—22no—
483#11924029—41no—
484#11924029—44no—
485#11924028—22no—
486#11924028—22no—
487#11924028—41no—
488#11924028—41no—
489#11924028—42no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496Q8×D73—22no—
497Q8×D73—22no—
498Q8×D73—41no—
499Q8×D73—41no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292C2×D411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73C2×D411yescharacteristic
511C2×C22⋊D73C2×D411yescharacteristic
512D4×D73—22no—
513D4×D73—41no—
514C22×Dic73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—44no—
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2411yescharacteristic
535C2×C4×D73C2411yescharacteristic
536Dic292—22no—
537#11924018—22no—
538#11924018—41no—
539#11924018—41no—
540#11924017—22no—
541#11924017#4114yescomplemented
542#11924016—22no—
543#11924015—22no—
544#11924015—22no—
545#11924015—41no—
546D584—22no—
547#11924013—41no—
548#11924011—22no—
549#11924011—41no—
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C8×D73—22no—
555C8×D73—41no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73C2×D411yescharacteristic
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73C2×D411yescharacteristic
599C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C2×Q8×C73—21no—
641C2×Q8×C73C2411yescharacteristic
642C2×Q8×C73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×D4×C73—21no—
645C2×D4×C73C2411yescharacteristic
646C22×C4×C73—21no—
647C22×C4×C73C2×D411yescharacteristic
648C22×C4×C73C2×D411yescharacteristic
649C22×C4×C73C2411yescharacteristic
650Q16×C73—22no—
651Q16×C73—41no—
652SD16×C73—22no—
653SD16×C73—41no—
654C2×C8×C73—22no—
655C2×C8×C73—41no—
656C2×C8×C73C2411yescharacteristic
657C2×C8×C73C2411yescharacteristic
658C2×C8×C73C2411yescharacteristic
659C2×C8×C73C2411yescharacteristic
660C4⋊C4×C73—21no—
661C4⋊C4×C73—21no—
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C42×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73C22×D411yescharacteristic
691C22×D73—21no—
692C22×D73—21no—
693C22×D73—42no—
694C22×D73—42no—
695C22×D73—81no—
696C22×D73C22×D411yescharacteristic
697C22×D73C22×D411yescharacteristic
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—21no—
701Q8×C73—21no—
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—42no—
705D4×C73—21no—
706D4×C73—21no—
707D4×C73—81no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—41no—
718C2×C4×C73—41no—
719C2×C4×C73—42no—
720C2×C4×C73C22×D411yescharacteristic
721C2×C4×C73C22×D411yescharacteristic
722C2×C4×C73C22×D411yescharacteristic
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C2511yescharacteristic
726C22⋊D73—22no—
727C22⋊D73—41no—
728C22⋊D73—42no—
729C22⋊D73—42no—
730C22⋊D73—42no—
731C22⋊D73—81no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—42no—
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745D292—22no—
746D292—21no—
747D292—21no—
748D292—21no—
749D292—42no—
750D292—42no—
751D292—42no—
752D292C2×#4112yes—
753C4×D73—22no—
754C4×D73—21no—
755C4×D73—21no—
756C4×D73—21no—
757C4×D73—21no—
758C4×D73—41no—
759C4×D73—41no—
760C4×D73—41no—
761C4×D73—42no—
762C4×D73—42no—
763C4×D73—42no—
764C4×D73—42no—
765C4×D73—42no—
766C4×D73—42no—
767C4×D73—42no—
768C4×D73—42no—
769C4×D73—42no—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—81no—
774C4×D73—81no—
775Dic146—21no—
776Dic146—21no—
777Dic146—21no—
778Dic146—41no—
779Dic146—42no—
780Dic146—42no—
781Dic146—81no—
782Dic146C2×#4112yes—
783C8×C73—21no—
784C8×C73—21no—
785C8×C73—21no—
786C8×C73C2×#4112yes—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831—21no—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—41no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73C23×D411yescharacteristic
798C2×D73—21no—
799C2×D73—21no—
800C2×D73—21no—
801C2×D73—21no—
802C2×D73—22no—
803C2×D73—21no—
804C2×D73—41no—
805C2×D73—41no—
806C2×D73—41no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—84no—
810C2×D73#57512yes—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73—41no—
823C4×C73C22×#4111yescharacteristic
824C4×C73#58511yescharacteristic
825Dic73—21no—
826Dic73—21no—
827Dic73—22no—
828Dic73—21no—
829Dic73—21no—
830Dic73—21no—
831Dic73—21no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73—41no—
837#61455—731nomaximal, Sylow
838C2×C73—41no—
839C2×C73—81no—
840C2×C73D4×#4111yescharacteristic
841C2×C73C2×#57511yescharacteristic
842C2×C73#358611yescharacteristic
843D73—22no—
844D73—41no—
845D73—42no—
846D73—81no—
847#3482—731no—
848#3475—731no—
849#3402—731no—
850#3388—731no—
851#3377—731no—
852#3376—731no—
853#3348—731no—
854#3343—731no—
855#3336—731no—
856#3321—731no—
857#3315—731no—
858#3312—731no—
859#3306—731no—
860#3300—731no—
861#3296—731no—
862#3282—731no—
863#3269—731no—
864#3266—731no—
865#3183—731no—
866#3181—731no—
867#3181D7311yescharacteristic, complemented
868#3117—731no—
869#3116—731no—
870#3114—731no—
871#3113—731no—
872#3111—731no—
873#3111—731no—
874#2970—731no—
875C4×#137—731no—
876#2943—731no—
877C2×#440—731no—
878C73#6145511yescharacteristic, complemented, Sylow
879C2×#137—731no—
880C2×#135—731no—
881C22×SD16—731no—
882#557—731no—
883#556—731no—
884#556—731no—
885#556—1461no—
886#555—731no—
887#554—731no—
888#553—1461no—
889#552—731no—
890#552—731no—
891#552—731no—
892#552—731no—
893#552—1461no—
894#552—1461no—
895#552—1461no—
896#551—1461no—
897#551—1461no—
898D4×Q8—731no—
899#548—731no—
900#548—731no—
901#547—731no—
902#547—731no—
903#547—1461no—
904#546—731no—
905#546—731no—
906#533—731no—
907#533—1461no—
908#533C2×D7311yescharacteristic, complemented
909#529—731no—
910#529—731no—
911#529—731no—
912#529—1461no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529C2×D7311yescharacteristic
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—731no—
922C4×#41—1461no—
923C2×C4×Q8—731no—
924C2×C4×Q8—731no—
925C2×C4×D4—731no—
926C2×#117—1461no—
927#501—731no—
928#501C2×D7311yescharacteristic, complemented
929#499—731no—
930#497—731no—
931#497C2×D7311yescharacteristic
932#495—731no—
933#491—731no—
934#491C2×D7311yescharacteristic, complemented
935#489—731no—
936#489C2×D7311yescharacteristic
937#488—731no—
938#488—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#484—731no—
944#483—731no—
945#483—731no—
946#483—731no—
947#482—731no—
948#482—731no—
949#481—731no—
950#480—731no—
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#477—731no—
960#476—731no—
961#475—731no—
962#475—731no—
963#470—731no—
964#469—731no—
965#468—731no—
966#468—731no—
967#467—731no—
968#467—731no—
969#467C2×D7311yescharacteristic, complemented
970#467C2×D7311yescharacteristic, complemented
971#465—731no—
972#465—731no—
973#465C2×D7311yescharacteristic
974#465C2×D7311yescharacteristic
975#464—731no—
976#464—731no—
977#464—731no—
978#464—731no—
979#463—731no—
980#463—731no—
981#463—731no—
982#463—731no—
983#462—731no—
984#462—731no—
985#462—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452—731no—
991#451—731no—
992#451—731no—
993#451—731no—
994#450—731no—
995#449—731no—
996#449—731no—
997#448—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441C2×D7311yescharacteristic, complemented
1010#441C2×D7311yescharacteristic, complemented
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440C2×D7311yescharacteristic
1024#440C2×D7311yescharacteristic
1025C4×Q16—731no—
1026C4×Q16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435—731no—
1033C8×D4—731no—
1034C8×D4—731no—
1035#432—731no—
1036#432—731no—
1037#432—731no—
1038#428—731no—
1039#427—731no—
1040C2×#107—731no—
1041#419—731no—
1042#417—731no—
1043#416—731no—
1044#416—731no—
1045C2×#103—731no—
1046C2×#102—731no—
1047C4×M16—731no—
1048C2×#97—731no—
1049C2×#97C2×D7311yescharacteristic, complemented
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—731no—
1054C2×#41—1461no—
1055C22×Q8—731no—
1056C22×Q8—731no—
1057C22×D4—731no—
1058C23×C4—1461no—
1059#137—1464no—
1060#135—1464no—
1061C2×Q16—731no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16C22×D7311yescharacteristic
1066C2×Q16C22×D7311yescharacteristic
1067C2×SD16—731no—
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—1464no—
1074C2×SD16C22×D7311yescharacteristic
1075C2×SD16C22×D7311yescharacteristic
1076C2×D8—731no—
1077C2×D8—731no—
1078C2×M16—731no—
1079C2×M16—731no—
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8C22×D7311yescharacteristic
1083C22×C8C22×D7311yescharacteristic
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—1461no—
1087C4⋊Q8—1461no—
1088C4⋊Q8C22×D7311yescharacteristic
1089C4⋊Q8C22×D7311yescharacteristic
1090#126—21no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#125—21no—
1103#125—731no—
1104#125—731no—
1105#125—731no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125C22×D7311yescharacteristic
1114#124—731no—
1115#124—731no—
1116#124—731no—
1117#124—1461no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124C22×D7311yescharacteristic
1122#123—21no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—21no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8C22×D7311yescharacteristic
1154C22⋊Q8C22×D7311yescharacteristic
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—731no—
1157#121—731no—
1158#121—731no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#120—1461no—
1167#120—1461no—
1168C4×Q8—21no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—731no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—731no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4—1461no—
1216C4×D4—1461no—
1217C4×D4C22×D7311yescharacteristic
1218#117—21no—
1219#117—21no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—731no—
1224#117—731no—
1225#117—731no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117—1461no—
1238#117—1461no—
1239#117—1461no—
1240C2×C4⋊C4—731no—
1241C2×C4⋊C4—731no—
1242C2×C4⋊C4—731no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4—1461no—
1247C2×C22⋊C4—1461no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—731no—
1251C2×C42—731no—
1252C2×C42—1461no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42—1461no—
1256C2×C42—1461no—
1257C2×C42C22×D7311yescharacteristic
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107C22×D7311yescharacteristic
1265#107C22×D7311yescharacteristic
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106C22×D7311yescharacteristic
1273#106C22×D7311yescharacteristic
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279C4⋊C8—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103C22×D7311yescharacteristic
1295#103C22×D7311yescharacteristic
1296#103C22×D7311yescharacteristic
1297#103C22×D7311yescharacteristic
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102C22×D7311yescharacteristic
1311#102C22×D7311yescharacteristic
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8—731no—
1317C22⋊C8—731no—
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97C22×D7311yescharacteristic
1323#97C22×D7311yescharacteristic
1324#97C22×D7311yescharacteristic
1325#97C22×D7311yescharacteristic
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—1461no—
1329#41—2921no—
1330#41—2921no—
1331#41—2922no—
1332#41—2924no—
1333#41—2921no—
1334#41—1462no—
1335#41—1462no—
1336#41—1462no—
1337C2×Q8—21no—
1338C2×Q8—2921no—
1339C2×Q8—2921no—
1340C2×Q8—731no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—1461no—
1344C2×Q8—1461no—
1345C2×Q8—1461no—
1346C2×Q8—1462no—
1347C2×Q8—1462no—
1348C2×Q8C23×D7311yescharacteristic
1349C2×Q8C23×D7311yescharacteristic
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—21no—
1352C2×D4—2921no—
1353C2×D4—731no—
1354C2×D4—731no—
1355C2×D4—731no—
1356C2×D4—731no—
1357C2×D4—731no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1462no—
1363C2×D4—1461no—
1364C2×D4—1461no—
1365C2×D4—1461no—
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—2924no—
1369C22×C4—731no—
1370C22×C4—731no—
1371C22×C4—731no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4D4×D7311yescharacteristic
1391C22×C4D4×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—22no—
1394Q16—41no—
1395Q16—2921no—
1396Q16—2921no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—22no—
1400SD16—41no—
1401SD16—2921no—
1402SD16—734no—
1403SD16—1462no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—2921no—
1408D8—1462no—
1409M16—2921no—
1410M16—1462no—
1411C2×C8—22no—
1412C2×C8—41no—
1413C2×C8—2921no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—731no—
1418C2×C8—1462no—
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—731no—
1439C4⋊C4—731no—
1440C4⋊C4—731no—
1441C4⋊C4—731no—
1442C4⋊C4—731no—
1443C4⋊C4—731no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—731no—
1482C22⋊C4—731no—
1483C22⋊C4—731no—
1484C22⋊C4—731no—
1485C22⋊C4—731no—
1486C22⋊C4—731no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—731no—
1515C42—731no—
1516C42—731no—
1517C42—731no—
1518C42—731no—
1519C42—731no—
1520C42—1461no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42D4×D7311yescharacteristic
1533C42D4×D7311yescharacteristic
1534C42C23×D7311yescharacteristic
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—2922no—
1538C23—2922no—
1539C23—5841no—
1540C23—731no—
1541C23—731no—
1542C23—1461no—
1543C23—1461no—
1544C23C2×D4×D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—42no—
1552Q8—2921no—
1553Q8—2922no—
1554Q8—2922no—
1555Q8—5841no—
1556Q8—732no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8—1461no—
1560D4—21no—
1561D4—21no—
1562D4—81no—
1563D4—2922no—
1564D4—2922no—
1565D4—2922no—
1566D4—2922no—
1567D4—2922no—
1568D4—2921no—
1569D4—2922no—
1570D4—5841no—
1571D4—732no—
1572D4—1462no—
1573D4—1462no—
1574D4—1461no—
1575D4—1461no—
1576D4—1461no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—42no—
1589C2×C4—2922no—
1590C2×C4—2922no—
1591C2×C4—2922no—
1592C2×C4—2922no—
1593C2×C4—2922no—
1594C2×C4—2921no—
1595C2×C4—2921no—
1596C2×C4—2921no—
1597C2×C4—2922no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—2922no—
1604C2×C4—2922no—
1605C2×C4—5841no—
1606C2×C4—5841no—
1607C2×C4—731no—
1608C2×C4—731no—
1609C2×C4—731no—
1610C2×C4—731no—
1611C2×C4—731no—
1612C2×C4—731no—
1613C2×C4—1462no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1461no—
1622C2×C4—1461no—
1623C2×C4—1461no—
1624C2×C4C2×D4×D7311yescharacteristic
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C2×D4×D7311yescharacteristic
1628C2×C4C2×D4×D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—1461no—
1634C8—1461no—
1635C8—1461no—
1636C8—1461no—
1637C8#41×D7312yes—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—2921no—
1645C22—2921no—
1646C22—2921no—
1647C22—2921no—
1648C22—2921no—
1649C22—5844no—
1650C22—732no—
1651C22—1461no—
1652C22—1461no—
1653C22—1462no—
1654C22—1461no—
1655C22—1461no—
1656C22—1461no—
1657C22C22×D4×D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—2921no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—2921no—
1675C4—1461no—
1676C4—1461no—
1677C4—1462no—
1678C4—1461no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4C2×#41×D7311yescharacteristic
1683C4#1798942311yescharacteristic
1684C2—41no—
1685C2—81no—
1686C2—2922no—
1687C2—2921no—
1688C2—5841no—
1689C2—1462no—
1690C2#2262341711yescharacteristic
1691C2#575×D7311yescharacteristic
1692C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3181C2
socleC22×C73C23×D4
hypercenter#3181D73
hypocenterC73#61455
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. #22623549C2semidirect
2. #22623487C2semidirect
3. #22623007C2semidirect
4. #22622871C2semidirect
5. #22622772C2semidirect
6. #22622753C2semidirect
7. #22622452C2semidirect
8. #22622370C2semidirect
9. #22622294C2semidirect
10. #22622123C2semidirect
11. #22622033C2semidirect
12. #22621981C2semidirect
13. #22621891C2semidirect
14. #22621813C2semidirect
15. #22621761C2semidirect
16. #22621645C2semidirect
17. #22621483C2semidirect
18. #22621440C2semidirect
19. #22620656C2semidirect
20. #22620638C2semidirect
21. #22620100C2semidirect
22. #22620087C2semidirect
23. #22620073C2semidirect
24. #22620059C2semidirect
25. #22620046C2semidirect
26. #22620034C2semidirect
27. #22618942C2semidirect
28. #22618747C2semidirect
29. #22618733C2semidirect
30. #440×D73C2semidirect
31. C73×#3181C2semidirect
35. #17989312C22semidirect
36. #17989311C22semidirect
46. #17989271C22semidirect
53. #17989247C22semidirect
62. #17989124C22semidirect
73. C4×#11924028C22semidirect
75. C4×Q8×D73C22semidirect
78. #17988994C22semidirect
79. #17988988C22semidirect
80. #17988980C22semidirect
82. #17988954C22semidirect
83. #17988948C22semidirect
84. #17988943C22semidirect
86. #17988926C22semidirect
87. #17988925C22semidirect
88. #17988925C22semidirect
89. #17988925C22semidirect
90. #17988924C22semidirect
94. #17988913C22semidirect
98. #17988893C22semidirect
99. #17988892C22semidirect
100. #17988892C22semidirect
101. #17988891C22semidirect
105. #17988884C22semidirect
106. #17988879C22semidirect
108. #17988871C22semidirect
109. #17988870C22semidirect
110. #17988844C22semidirect
112. #17988834C22semidirect
118. #17988811C22semidirect
126. #17988796C22semidirect
127. #17988795C22semidirect
128. #17988794C22semidirect
133. #17988747C22semidirect
135. #17988744C22semidirect
142. #17988715C22semidirect
143. #17988715C22semidirect
147. #17988695C22semidirect
148. #17988695C22semidirect
149. #17988692C22semidirect
150. #17988692C22semidirect
151. #17988692C22semidirect
155. #17988689C22semidirect
156. #17988689C22semidirect
162. #17988685C22semidirect
164. Q16×Dic73C22semidirect
165. #17988679C22semidirect
170. #17988658C22semidirect
171. #17988658C22semidirect
174. #17988644C22semidirect
176. #17988642C22semidirect
177. #17988626C22semidirect
178. #17988625C22semidirect
180. #17988594C22semidirect
183. #17988584C22semidirect
186. #17988539C22semidirect
188. #533×C73C22semidirect
190. #501×C73C22semidirect
192. #491×C73C22semidirect
194. #467×C73C22semidirect
195. #467×C73C22semidirect
198. #441×C73C22semidirect
199. #441×C73C22semidirect
202. C2×#97×C73C22semidirect
541. #11924017#41semidirect
867. #3181D73semidirect
878. C73#61455semidirect
908. #533C2×D73semidirect
928. #501C2×D73semidirect
934. #491C2×D73semidirect
969. #467C2×D73semidirect
970. #467C2×D73semidirect
1009. #441C2×D73semidirect
1010. #441C2×D73semidirect
1049. C2×#97C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235492
#226234872
#226230072
#226228712
#226227722
#226227532
#226224522
#226223702
#226222942
#226221232
#226220332
#226219812
#226218912
#226218132
#226217612
#226216452
#226214832
#226214402
#226206562
#226206382
#226201002
#226200872
#226200732
#226200592
#226200462
#226200342
#226189422
#226187472
#226187332
#440×D732
C73×#31812
#6145573