Finite Group Databasebeta

← #33967993

Subgroups — #33967993

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#22623493C211yesmaximal, characteristic, complemented
3#22623005C211yesmaximal, characteristic, complemented
4#22622869C211yesmaximal, characteristic, complemented
5#22622780C211yesmaximal, characteristic, complemented
6#22622751C211yesmaximal, characteristic, complemented
7#22622450C211yesmaximal, characteristic, complemented
8#22622368C211yesmaximal, characteristic, complemented
9#22622292C211yesmaximal, characteristic, complemented
10#22622115C211yesmaximal, characteristic, complemented
11#22622031C211yesmaximal, characteristic, complemented
12#22621989C211yesmaximal, characteristic, complemented
13#22621889C211yesmaximal, characteristic, complemented
14#22621821C211yesmaximal, characteristic, complemented
15#22621759C211yesmaximal, characteristic, complemented
16#22621636C211yesmaximal, characteristic, complemented
17#22621490C211yesmaximal, characteristic, complemented
18#22621447C211yesmaximal, characteristic, complemented
19#22620663C211yesmaximal, characteristic, complemented
20#22620638C211yesmaximal, characteristic, complemented
21#22620634C211yesmaximal, characteristic, complemented
22#22620106C211yesmaximal, characteristic, complemented
23#22620073C211yesmaximal, characteristic, complemented
24#22620059C211yesmaximal, characteristic, complemented
25#22620044C211yesmaximal, characteristic, complemented
26#22620042C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618753C211yesmaximal, characteristic, complemented
29#22618729C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3116C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989312C2211yescharacteristic, complemented
36#17989311C2211yescharacteristic, complemented
37#17989309C2211yescharacteristic
38#17989308—21no—
39#17989300C2211yescharacteristic
40#17989296C2211yescharacteristic
41#17989286—21no—
42#17989278C2211yescharacteristic
43#17989276C2211yescharacteristic
44#17989271C2211yescharacteristic
45#17989271C2211yescharacteristic, complemented
46#17989270—21no—
47#17989269—21no—
48#17989269—21no—
49#17989266—21no—
50#17989261—21no—
51#17989252C2211yescharacteristic
52#17989247C2211yescharacteristic
53#17989247C2211yescharacteristic, complemented
54#17989240C2211yescharacteristic
55#17989239—21no—
56#17989236C2211yescharacteristic
57#17989232C2211yescharacteristic
58#17989225C2211yescharacteristic
59#17989141—21no—
60#17989141C2211yescharacteristic
61#17989124C2211yescharacteristic
62#17989124C2211yescharacteristic
63#17989124C2211yescharacteristic, complemented
64#17989121—21no—
65#17989121C2211yescharacteristic
66#17989117—21no—
67#17989115—21no—
68#17989115—21no—
69#17989096—21no—
70C4×#11924029—21no—
71C4×#11924028C2211yescharacteristic
72C4×#11924028C2211yescharacteristic, complemented
73C4×#11924027C2211yescharacteristic
74C4×Q8×D73C2211yescharacteristic
75C4×Q8×D73C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic
77C2×#14556548—21no—
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988987C2211yescharacteristic, complemented
81#17988980C2211yescharacteristic, complemented
82#17988979C2211yescharacteristic
83#17988972C2211yescharacteristic
84#17988955C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988949C2211yescharacteristic
87#17988948C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic
89#17988943C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988919C2211yescharacteristic
94#17988916C2211yescharacteristic
95#17988916C2211yescharacteristic
96#17988914C2211yescharacteristic, complemented
97#17988912C2211yescharacteristic
98#17988907C2211yescharacteristic
99#17988902C2211yescharacteristic
100#17988897C2211yescharacteristic, complemented
101#17988896C2211yescharacteristic, complemented
102#17988895C2211yescharacteristic, complemented
103#17988893C2211yescharacteristic, complemented
104#17988890C2211yescharacteristic
105#17988889C2211yescharacteristic
106#17988888C2211yescharacteristic, complemented
107#17988885C2211yescharacteristic
108#17988871C2211yescharacteristic, complemented
109#17988870C2211yescharacteristic, complemented
110#17988842C2211yescharacteristic, complemented
111#17988841C2211yescharacteristic
112#17988836C2211yescharacteristic
113#17988836C2211yescharacteristic, complemented
114#17988827C2211yescharacteristic
115#17988826C2211yescharacteristic, complemented
116#17988826C2211yescharacteristic, complemented
117#17988825C2211yescharacteristic
118#17988819C2211yescharacteristic
119#17988818C2211yescharacteristic
120#17988818C2211yescharacteristic
121#17988817C2211yescharacteristic
122#17988812C2211yescharacteristic
123#17988812C2211yescharacteristic, complemented
124#17988811C2211yescharacteristic
125#17988810C2211yescharacteristic
126#17988805C2211yescharacteristic
127#17988804C2211yescharacteristic
128#17988804C2211yescharacteristic
129#17988803C2211yescharacteristic
130#17988796C2211yescharacteristic, complemented
131#17988795C2211yescharacteristic, complemented
132#17988751C2211yescharacteristic, complemented
133#17988746C2211yescharacteristic
134#17988744C2211yescharacteristic
135#17988741C2211yescharacteristic
136#17988741C2211yescharacteristic, complemented
137#17988736C2211yescharacteristic
138#17988734C2211yescharacteristic
139#17988733C2211yescharacteristic
140#17988727C2211yescharacteristic
141#17988722C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988697C2211yescharacteristic
146#17988697C2211yescharacteristic
147#17988695C2211yescharacteristic, complemented
148#17988692C2211yescharacteristic, complemented
149#17988692C2211yescharacteristic, complemented
150#17988692C2211yescharacteristic, complemented
151#17988692C2211yescharacteristic, complemented
152#17988690C2211yescharacteristic
153#17988689C2211yescharacteristic
154#17988689C2211yescharacteristic, complemented
155#17988688C2211yescharacteristic
156#17988687C2211yescharacteristic
157#17988687C2211yescharacteristic
158#17988686C2211yescharacteristic
159#17988685C2211yescharacteristic
160#17988685C2211yescharacteristic
161#17988685C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic
164#17988681C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166#17988678C2211yescharacteristic
167SD16×Dic73C2211yescharacteristic
168#17988657C2211yescharacteristic
169#17988657C2211yescharacteristic
170#17988655C2211yescharacteristic, complemented
171#17988655C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic
173#17988650C2211yescharacteristic
174#17988642C2211yescharacteristic
175#17988642C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988623C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic
179#17988594C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic
181#17988583C2211yescharacteristic
182#17988581C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988539C2211yescharacteristic, complemented
186C2×#14556502C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic
188#533×C73C2211yescharacteristic, complemented
189C4×#41×C73C2211yescharacteristic
190#485×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#477×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic
194#462×C73C2211yescharacteristic, complemented
195#461×C73C2211yescharacteristic
196#452×C73C2211yescharacteristic
197#452×C73C2211yescharacteristic
198#441×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924028D411yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211#14556620—24no—
212#14556611—24no—
213C2×Dic292C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223SD16×D73—24no—
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924011C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C22×#10596831C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232#14556590—21no—
233#14556590C2311yescharacteristic
234#14556589—21no—
235#14556589C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556585—21no—
243#14556585—21no—
244#14556585—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556583—21no—
249#14556583C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556580C2311yescharacteristic
260#14556580C2311yescharacteristic
261#14556580C2311yescharacteristic
262#14556579—21no—
263#14556579C2311yescharacteristic
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556575—21no—
274#14556574—21no—
275#14556574—21no—
276#14556574—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556572—21no—
281#14556571—21no—
282#14556571C2311yescharacteristic
283#14556570—21no—
284#14556570C2311yescharacteristic
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556568—21no—
292#14556568—21no—
293#14556567—21no—
294#14556567C2311yescharacteristic
295#14556567C2311yescharacteristic
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic
298#14556566C2311yescharacteristic
299#14556566C2311yescharacteristic
300#14556566C2311yescharacteristic
301#14556565—21no—
302#14556565C2311yescharacteristic
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556563—21no—
307#14556563—21no—
308#14556561—21no—
309#14556559—21no—
310Q8×Dic73—21no—
311Q8×Dic73C2311yescharacteristic
312Q8×Dic73C2311yescharacteristic
313C4×Dic146—21no—
314C4×Dic146—21no—
315C4×Dic146—21no—
316C4×Dic146D411yescharacteristic
317C4×Dic146C2311yescharacteristic
318C4×Dic146C2311yescharacteristic
319C4×Dic146C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321#14556556—21no—
322#14556556—21no—
323#14556556C2311yescharacteristic
324#14556556C2311yescharacteristic
325#14556556C2311yescharacteristic
326C4×D292—21no—
327C4×D292—21no—
328C4×D292—21no—
329C4×D292D411yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336#14556553—21no—
337#14556553—21no—
338#14556553—21no—
339#14556553C2311yescharacteristic
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73D411yescharacteristic
346C4×C22⋊D73D411yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348C4×C22⋊D73C2311yescharacteristic
349#14556551—21no—
350#14556551—21no—
351#14556550D411yescharacteristic
352#14556550C2311yescharacteristic
353#14556549—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549C2311yescharacteristic
357#14556548—21no—
358#14556548—21no—
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548—21no—
365#14556548—21no—
366#14556548—21no—
367#14556548D411yescharacteristic
368#14556548D411yescharacteristic
369#14556547—21no—
370C2×#11924007—21no—
371C2×#11924007—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73—21no—
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C2×#11924005—21no—
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C42×D73—21no—
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
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
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C4⋊Q8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445#125×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73C2311yescharacteristic
448C22⋊Q8×C73C2311yescharacteristic
449C4×Q8×C73—21no—
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461C2×C42×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×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
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924029—44no—
483#11924028—22no—
484#11924028—41no—
485#11924028—42no—
486#11924027—22no—
487#11924027—41no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×Dic146C2411yescharacteristic
494Q8×D73—22no—
495Q8×D73—22no—
496Q8×D73—41no—
497Q8×D73—41no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292C2×D411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73C2×D411yescharacteristic
509C2×C22⋊D73C2×D411yescharacteristic
510D4×D73—22no—
511D4×D73—41no—
512C22×Dic73—21no—
513C22×Dic73—21no—
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—44no—
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2×D411yescharacteristic
530C2×C4×D73C2411yescharacteristic
531C2×C4×D73C2411yescharacteristic
532Dic292—22no—
533#11924018—22no—
534#11924018—22no—
535#11924018—41no—
536#11924017—22no—
537#11924017—41no—
538#11924016#4114yescomplemented
539#11924015—22no—
540#11924015—22no—
541#11924015—41no—
542D584—41no—
543#11924013—22no—
544#11924011—22no—
545#11924011—41no—
546C2×#10596831—22no—
547C2×#10596831—41no—
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C8×D73—22no—
553C8×D73—41no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73C2×D411yescharacteristic
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
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⋊Dic73C2×D411yescharacteristic
597C22⋊Dic73C2×D411yescharacteristic
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
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
640#41×C73—22no—
641#41×C73—41no—
642C2×Q8×C73—21no—
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—21no—
647C2×D4×C73C2411yescharacteristic
648C22×C4×C73—21no—
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73C2×D411yescharacteristic
652C22×C4×C73C2×D411yescharacteristic
653C22×C4×C73C2411yescharacteristic
654Q16×C73—41no—
655Q16×C73—41no—
656SD16×C73—22no—
657SD16×C73—22no—
658C2×C8×C73C2411yescharacteristic
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×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—
680C42×C73—21no—
681C42×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—42no—
707D4×C73C2×#4112yes—
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×C73—42no—
721C2×C4×C73—81no—
722C2×C4×C73C22×D411yescharacteristic
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C2511yescharacteristic
728C22⋊D73—22no—
729C22⋊D73—41no—
730C22⋊D73—42no—
731C22⋊D73—42no—
732C22⋊D73—42no—
733C22⋊D73—81no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—42no—
741C2×Dic73—42no—
742C2×Dic73—81no—
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749D292—22no—
750D292—21no—
751D292—21no—
752D292—21no—
753D292—21no—
754D292—42no—
755D292—42no—
756D292—81no—
757C4×D73—22no—
758C4×D73—21no—
759C4×D73—21no—
760C4×D73—21no—
761C4×D73—21no—
762C4×D73—41no—
763C4×D73—41no—
764C4×D73—41no—
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—42no—
774C4×D73—42no—
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×C73—21no—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831C2×#4112yes—
791C22×C73—21no—
792C22×C73—22no—
793C22×C73—21no—
794C22×C73—21no—
795C22×C73—41no—
796C22×C73—41no—
797C22×C73C23×D411yescharacteristic
798C2×D73—21no—
799C2×D73—21no—
800C2×D73—21no—
801C2×D73—21no—
802C2×D73—21no—
803C2×D73—41no—
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—42no—
839C2×C73—41no—
840C2×C73D4×#4111yescharacteristic
841C2×C73C2×#57511yescharacteristic
842C2×C73#358611yescharacteristic
843D73—22no—
844D73—41no—
845D73—81no—
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#3181—731no—
868#3117—731no—
869#3116D7311yescharacteristic, complemented
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—731no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529—1461no—
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—1461no—
922C4×#41C2×D7311yescharacteristic
923C2×C4×Q8—731no—
924C2×C4×Q8—731no—
925C2×C4×D4—731no—
926C2×#117—1461no—
927#501—731no—
928#501—731no—
929#499—731no—
930#497—731no—
931#497—731no—
932#495—731no—
933#491—731no—
934#491—731no—
935#489—731no—
936#489—731no—
937#488—731no—
938#488—731no—
939#485—731no—
940#485—731no—
941#485C2×D7311yescharacteristic, complemented
942#485C2×D7311yescharacteristic, complemented
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#477C2×D7311yescharacteristic, complemented
960#476C2×D7311yescharacteristic
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#467—731no—
970#467—731no—
971#465—731no—
972#465—731no—
973#465—731no—
974#465—731no—
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#462C2×D7311yescharacteristic, complemented
986#461C2×D7311yescharacteristic
987#452—731no—
988#452—731no—
989#452C2×D7311yescharacteristic
990#452C2×D7311yescharacteristic
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#432C2×D7311yescharacteristic, complemented
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×#97—731no—
1050C2×#41—731no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—1461no—
1054C2×#41C22×D7311yescharacteristic
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×C8—731no—
1083C22×C8—731no—
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—1461no—
1087C4⋊Q8—1461no—
1088C4⋊Q8C22×D7311yescharacteristic
1089C4⋊Q8C22×D7311yescharacteristic
1090#126—1461no—
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—731no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#124—731no—
1115#124—731no—
1116#124—731no—
1117#124—731no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124—1461no—
1122#123—1461no—
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—731no—
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⋊Q8—1461no—
1154C22⋊Q8C22×D7311yescharacteristic
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—731no—
1157#121—731no—
1158#121—731no—
1159#121—731no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
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—1461no—
1180C4×Q8—1461no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8C22×D7311yescharacteristic
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
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×D4C22×D7311yescharacteristic
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—1461no—
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#117C22×D7311yescharacteristic
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—21no—
1251C2×C42—731no—
1252C2×C42—731no—
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⋊C8C22×D7311yescharacteristic
1279C4⋊C8C22×D7311yescharacteristic
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⋊C8C22×D7311yescharacteristic
1317C22⋊C8C22×D7311yescharacteristic
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97—731no—
1323#97—731no—
1324#97C22×D7311yescharacteristic
1325#97C22×D7311yescharacteristic
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—1461no—
1329#41—22no—
1330#41—41no—
1331#41—2921no—
1332#41—2922no—
1333#41—2924no—
1334#41—2921no—
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—1461no—
1363C2×D4—1461no—
1364C2×D4—1462no—
1365C2×D4—1461no—
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—2924no—
1371C22×C4—731no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
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—41no—
1394Q16—41no—
1395Q16—2921no—
1396Q16—1462no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—22no—
1400SD16—22no—
1401SD16—2921no—
1402SD16—2921no—
1403SD16—734no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—2921no—
1408D8—1462no—
1409M16—2921no—
1410M16—1462no—
1411C2×C8—2921no—
1412C2×C8—2921no—
1413C2×C8—731no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—1462no—
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—731no—
1433C4⋊C4—731no—
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—1461no—
1443C4⋊C4—1461no—
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—731no—
1480C22⋊C4—731no—
1481C22⋊C4—731no—
1482C22⋊C4—731no—
1483C22⋊C4—731no—
1484C22⋊C4—731no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
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—21no—
1515C42—21no—
1516C42—731no—
1517C42—731no—
1518C42—731no—
1519C42—731no—
1520C42—731no—
1521C42—731no—
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—42no—
1562D4—2922no—
1563D4—2922no—
1564D4—2922no—
1565D4—2922no—
1566D4—2922no—
1567D4—2921no—
1568D4—5841no—
1569D4—5841no—
1570D4—1462no—
1571D4—1462no—
1572D4—1461no—
1573D4—1461no—
1574D4—1461no—
1575D4—1461no—
1576D4#41×D7312yes—
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—42no—
1590C2×C4—81no—
1591C2×C4—2922no—
1592C2×C4—2922no—
1593C2×C4—2922no—
1594C2×C4—2922no—
1595C2×C4—2921no—
1596C2×C4—2921no—
1597C2×C4—2921no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—2922no—
1604C2×C4—2922no—
1605C2×C4—2922no—
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—21no—
1634C8—732no—
1635C8—1461no—
1636C8—1461no—
1637C8—1461no—
1638C22—21no—
1639C22—21no—
1640C22—22no—
1641C22—21no—
1642C22—41no—
1643C22—41no—
1644C22—2921no—
1645C22—2921no—
1646C22—2921no—
1647C22—2921no—
1648C22—2921no—
1649C22—2921no—
1650C22—5844no—
1651C22—732no—
1652C22—1461no—
1653C22—1461no—
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—42no—
1686C2—2921no—
1687C2—5841no—
1688C2—5841no—
1689C2—1462no—
1690C2#2262341411yescharacteristic
1691C2#575×D7311yescharacteristic
1692C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3116C2
socleC22×C73C23×D4
hypercenter#3116D73
hypocenterC73#61455
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3116

Complements

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

NH ≅ G/Ntype
1. #22623549C2semidirect
2. #22623493C2semidirect
3. #22623005C2semidirect
4. #22622869C2semidirect
5. #22622780C2semidirect
6. #22622751C2semidirect
7. #22622450C2semidirect
8. #22622368C2semidirect
9. #22622292C2semidirect
10. #22622115C2semidirect
11. #22622031C2semidirect
12. #22621989C2semidirect
13. #22621889C2semidirect
14. #22621821C2semidirect
15. #22621759C2semidirect
16. #22621636C2semidirect
17. #22621490C2semidirect
18. #22621447C2semidirect
19. #22620663C2semidirect
20. #22620638C2semidirect
21. #22620634C2semidirect
22. #22620106C2semidirect
23. #22620073C2semidirect
24. #22620059C2semidirect
25. #22620044C2semidirect
26. #22620042C2semidirect
27. #22618940C2semidirect
28. #22618753C2semidirect
29. #22618729C2semidirect
30. #440×D73C2semidirect
31. C73×#3116C2semidirect
35. #17989312C22semidirect
36. #17989311C22semidirect
45. #17989271C22semidirect
53. #17989247C22semidirect
63. #17989124C22semidirect
72. C4×#11924028C22semidirect
75. C4×Q8×D73C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988987C22semidirect
81. #17988980C22semidirect
84. #17988955C22semidirect
85. #17988954C22semidirect
87. #17988948C22semidirect
89. #17988943C22semidirect
90. #17988929C22semidirect
91. #17988927C22semidirect
92. #17988921C22semidirect
96. #17988914C22semidirect
100. #17988897C22semidirect
101. #17988896C22semidirect
102. #17988895C22semidirect
103. #17988893C22semidirect
106. #17988888C22semidirect
108. #17988871C22semidirect
109. #17988870C22semidirect
110. #17988842C22semidirect
113. #17988836C22semidirect
115. #17988826C22semidirect
116. #17988826C22semidirect
123. #17988812C22semidirect
130. #17988796C22semidirect
131. #17988795C22semidirect
132. #17988751C22semidirect
136. #17988741C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
147. #17988695C22semidirect
148. #17988692C22semidirect
149. #17988692C22semidirect
150. #17988692C22semidirect
151. #17988692C22semidirect
154. #17988689C22semidirect
161. #17988685C22semidirect
162. #17988685C22semidirect
164. #17988681C22semidirect
165. #17988679C22semidirect
170. #17988655C22semidirect
171. #17988655C22semidirect
175. #17988642C22semidirect
176. #17988628C22semidirect
177. #17988623C22semidirect
179. #17988594C22semidirect
182. #17988581C22semidirect
185. #17988539C22semidirect
186. C2×#14556502C22semidirect
188. #533×C73C22semidirect
190. #485×C73C22semidirect
191. #485×C73C22semidirect
192. #477×C73C22semidirect
194. #462×C73C22semidirect
198. #441×C73C22semidirect
199. #441×C73C22semidirect
202. #432×C73C22semidirect
538. #11924016#41semidirect
869. #3116D73semidirect
878. C73#61455semidirect
908. #533C2×D73semidirect
941. #485C2×D73semidirect
942. #485C2×D73semidirect
959. #477C2×D73semidirect
985. #462C2×D73semidirect
1009. #441C2×D73semidirect
1010. #441C2×D73semidirect
1037. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235492
#226234932
#226230052
#226228692
#226227802
#226227512
#226224502
#226223682
#226222922
#226221152
#226220312
#226219892
#226218892
#226218212
#226217592
#226216362
#226214902
#226214472
#226206632
#226206382
#226206342
#226201062
#226200732
#226200592
#226200442
#226200422
#226189402
#226187532
#226187292
#440×D732
C73×#31162
#6145573