Finite Group Databasebeta

← #33967863

Subgroups — #33967863

Order 18688.

1958 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623557C211yesmaximal, characteristic, complemented
2#22623537C211yesmaximal, characteristic, complemented
3#22622968C211yesmaximal, characteristic, complemented
4#22622844C211yesmaximal, characteristic, complemented
5#22622740C211yesmaximal, characteristic, complemented
6#22622641C211yesmaximal, characteristic, complemented
7#22622555C211yesmaximal, characteristic, complemented
8#22622428C211yesmaximal, characteristic, complemented
9#22622424C211yesmaximal, characteristic, complemented
10#22622262C211yesmaximal, characteristic, complemented
11#22622171C211yesmaximal, characteristic, complemented
12#22622094C211yesmaximal, characteristic, complemented
13#22622090C211yesmaximal, characteristic, complemented
14#22621934C211yesmaximal, characteristic, complemented
15#22621930C211yesmaximal, characteristic, complemented
16#22621544C211yesmaximal, characteristic, complemented
17#22621474C211yesmaximal, characteristic, complemented
18#22621466C211yesmaximal, characteristic, complemented
19#22620527C211yesmaximal, characteristic, complemented
20#22620522C211yesmaximal, characteristic, complemented
21#22620507C211yesmaximal, characteristic, complemented
22#22619989C211yesmaximal, characteristic, complemented
23#22619989C211yesmaximal, characteristic, complemented
24#22619955C211yesmaximal, characteristic, complemented
25#22619932C211yesmaximal, characteristic, complemented
26#22619929C211yesmaximal, characteristic, complemented
27#22618895C211yesmaximal, characteristic, complemented
28C4×#14556618C211yesmaximal, characteristic, complemented
29C4×#14556616C211yesmaximal, characteristic, complemented
30C4×#14556614C211yesmaximal, characteristic, complemented
31C73×#3102C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556616C2211yescharacteristic
34C2×#14556614C2211yescharacteristic
35#17989319C2211yescharacteristic
36Q8×Dic146C2211yescharacteristic, complemented
37#17989302—21no—
38#17989302C2211yescharacteristic, complemented
39#17989300—21no—
40#17989300—21no—
41#17989300C2211yescharacteristic
42#17989300C2211yescharacteristic, complemented
43#17989295C2211yescharacteristic
44#17989293C2211yescharacteristic
45#17989290C2211yescharacteristic
46#17989289C2211yescharacteristic
47#17989288—21no—
48#17989262—21no—
49#17989260—21no—
50#17989259C2211yescharacteristic, complemented
51#17989258—21no—
52#17989258C2211yescharacteristic, complemented
53#17989256C2211yescharacteristic
54#17989256C2211yescharacteristic, complemented
55#17989230C2211yescharacteristic
56#17989229—21no—
57#17989228C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989137—21no—
60#17989137C2211yescharacteristic, complemented
61#17989134—21no—
62#17989134—21no—
63#17989134C2211yescharacteristic
64#17989134C2211yescharacteristic, complemented
65#17989134C2211yescharacteristic, complemented
66#17989124C2211yescharacteristic
67#17989115—21no—
68#17989099—21no—
69#17989096—21no—
70C4×#11924029C2211yescharacteristic
71C4×#11924029C2211yescharacteristic, complemented
72C4×#11924029C2211yescharacteristic, complemented
73C4×#11924028—21no—
74C4×#11924028C2211yescharacteristic
75C2×C4×D292C2211yescharacteristic
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic
84#17988953C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988932C2211yescharacteristic, complemented
90#17988927C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic
92#17988913C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic, complemented
98#17988901C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988880C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic
105#17988876C2211yescharacteristic, complemented
106#17988868C2211yescharacteristic
107#17988868C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic
109#17988865C2211yescharacteristic, complemented
110#17988841C2211yescharacteristic
111#17988839C2211yescharacteristic
112#17988838C2211yescharacteristic
113#17988838C2211yescharacteristic
114#17988836C2211yescharacteristic, complemented
115#17988835C2211yescharacteristic, complemented
116#17988835C2211yescharacteristic, complemented
117#17988830C2211yescharacteristic, complemented
118#17988824C2211yescharacteristic, complemented
119#17988822C2211yescharacteristic, complemented
120#17988822C2211yescharacteristic, complemented
121#17988820C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988785C2211yescharacteristic
125#17988785C2211yescharacteristic, complemented
126#17988783C2211yescharacteristic
127#17988783C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic
129#17988781C2211yescharacteristic
130#17988781C2211yescharacteristic
131#17988780C2211yescharacteristic, complemented
132#17988748C2211yescharacteristic, complemented
133#17988735C2211yescharacteristic
134#17988735C2211yescharacteristic
135#17988735C2211yescharacteristic, complemented
136#17988731C2211yescharacteristic
137#17988731C2211yescharacteristic, complemented
138#17988723C2211yescharacteristic
139#17988723C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988698C2211yescharacteristic
145#17988697C2211yescharacteristic
146#17988697C2211yescharacteristic, complemented
147#17988696C2211yescharacteristic, complemented
148#17988690C2211yescharacteristic
149#17988688C2211yescharacteristic, complemented
150#17988685C2211yescharacteristic
151#17988685C2211yescharacteristic, complemented
152Q16×Dic73C2211yescharacteristic, complemented
153C4×#11924015C2211yescharacteristic
154C4×#11924015C2211yescharacteristic, complemented
155C4×#11924015C2211yescharacteristic, complemented
156C4×#11924015C2211yescharacteristic, complemented
157#17988672C2211yescharacteristic
158#17988672C2211yescharacteristic, complemented
159C4×D584C2211yescharacteristic
160C4×D584C2211yescharacteristic
161C4×D584C2211yescharacteristic, complemented
162C4×D584C2211yescharacteristic, complemented
163#17988669C2211yescharacteristic
164C4×#11924013C2211yescharacteristic
165C4×#11924013C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic, complemented
168#17988662C2211yescharacteristic
169#17988662C2211yescharacteristic
170#17988661C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic, complemented
174#17988638C2211yescharacteristic, complemented
175#17988638C2211yescharacteristic, complemented
176#17988630C2211yescharacteristic, complemented
177#17988626C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic
180#17988590C2211yescharacteristic
181#17988588C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988582C2211yescharacteristic
184#17988582C2211yescharacteristic, complemented
185C4×#11924012C2211yescharacteristic, complemented
186C4×#11924011C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic
189C4×#41×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#452×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198C4×Q16×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#431×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028D411yescharacteristic
212C22×D292C2311yescharacteristic
213C2×D4×D73—21no—
214C2×D4×D73C2311yescharacteristic
215C22×C4×D73—21no—
216C22×C4×D73—21no—
217#14556618—24no—
218#14556616—24no—
219#14556614—24no—
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924012C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×#11924011C2311yescharacteristic
236C2×C8×D73C2311yescharacteristic
237C2×C8×D73C2311yescharacteristic
238#14556591—21no—
239#14556591C2311yescharacteristic
240#14556590—21no—
241#14556590—21no—
242#14556590C2311yescharacteristic
243#14556590C2311yescharacteristic
244#14556590C2311yescharacteristic
245#14556588—21no—
246#14556588C2311yescharacteristic
247#14556587—21no—
248#14556587—21no—
249#14556587C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556586—21no—
253#14556586—21no—
254#14556584—21no—
255#14556582C2311yescharacteristic
256#14556581—21no—
257#14556580C2311yescharacteristic
258#14556579—21no—
259#14556579—21no—
260#14556579—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556575—21no—
273#14556575—21no—
274#14556573—21no—
275#14556573—21no—
276#14556571—21no—
277#14556571—21no—
278#14556569—21no—
279#14556569—21no—
280#14556568—21no—
281#14556567C2311yescharacteristic
282#14556566—21no—
283#14556566—21no—
284#14556566—21no—
285#14556566—21no—
286#14556566C2311yescharacteristic
287#14556566C2311yescharacteristic
288#14556566C2311yescharacteristic
289#14556566C2311yescharacteristic
290#14556565—21no—
291#14556565—21no—
292#14556565—21no—
293#14556565—21no—
294#14556565—21no—
295#14556565C2311yescharacteristic
296#14556565C2311yescharacteristic
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556563—21no—
307#14556562—21no—
308#14556562—21no—
309#14556562C2311yescharacteristic
310#14556562C2311yescharacteristic
311#14556562C2311yescharacteristic
312#14556561—21no—
313#14556561—21no—
314#14556561—21no—
315#14556559—21no—
316Q8×Dic73C2311yescharacteristic
317Q8×Dic73C2311yescharacteristic
318Q8×Dic73C2311yescharacteristic
319C4×Dic146—21no—
320C4×Dic146D411yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×D292—21no—
323C4×D292—21no—
324C4×D292—21no—
325C4×D292—21no—
326C4×D292—21no—
327C4×D292—21no—
328C4×D292—21no—
329C4×D292—21no—
330C4×D292D411yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338D4×Dic73—21no—
339D4×Dic73C2311yescharacteristic
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73D411yescharacteristic
355C4×C22⋊D73D411yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556550—21no—
362#14556550D411yescharacteristic
363#14556549—21no—
364#14556549—21no—
365#14556549—21no—
366#14556549C2311yescharacteristic
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556548—21no—
370#14556548—21no—
371#14556548—21no—
372#14556548D411yescharacteristic
373#14556548D411yescharacteristic
374C2×C4⋊Dic73C2311yescharacteristic
375C4⋊C4×D73—21no—
376C4⋊C4×D73C2311yescharacteristic
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C42×D73—21no—
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443#126×C73—21no—
444#125×C73C2311yescharacteristic
445#124×C73C2311yescharacteristic
446#123×C73—21no—
447C22⋊Q8×C73C2311yescharacteristic
448#121×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
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#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—22no—
485#11924029—22no—
486#11924029—41no—
487#11924029—41no—
488#11924029—41no—
489#11924028—42no—
490#11924028—44no—
491#11924028—82no—
492#11924028—82no—
493#11924028—82no—
494#11924028—82no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×D292—22no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—41no—
512C2×D292C2×D411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73C2×D411yescharacteristic
530C2×C22⋊D73C2×D411yescharacteristic
531D4×D73—22no—
532D4×D73—41no—
533D4×D73—44no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—82no—
551C2×C4×D73—82no—
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2×D411yescharacteristic
555C2×C4×D73C2×D411yescharacteristic
556C2×C4×D73C2411yescharacteristic
557C2×C4×D73C2411yescharacteristic
558#11924015—22no—
559#11924015—22no—
560#11924015—41no—
561#11924015#4114yescomplemented
562D584—22no—
563D584—22no—
564D584—41no—
565D584—41no—
566#11924013—22no—
567#11924013—22no—
568#11924013—22no—
569#11924013—41no—
570#11924012—22no—
571#11924012—41no—
572#11924011—22no—
573#11924011—41no—
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C8×D73—22no—
579C8×D73—41no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590C4⋊Dic73C2411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2411yescharacteristic
645C4×Dic73C2411yescharacteristic
646#41×C73—22no—
647#41×C73—41no—
648C2×Q8×C73C2411yescharacteristic
649C2×Q8×C73C2411yescharacteristic
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73C2×D411yescharacteristic
659C22×C4×C73C2×D411yescharacteristic
660C22×C4×C73C2411yescharacteristic
661Q16×C73—22no—
662SD16×C73—22no—
663SD16×C73—41no—
664D8×C73—41no—
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C42×C73—21no—
688C42×C73—21no—
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2×D411yescharacteristic
692C42×C73C2×D411yescharacteristic
693C42×C73C2411yescharacteristic
694C42×C73C2411yescharacteristic
695C23×C73—21no—
696C23×C73—21no—
697C23×C73C22×D411yescharacteristic
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73C22×D411yescharacteristic
709C22×D73C22×D411yescharacteristic
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713Q8×C73C2×#4112yes—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—42no—
719D4×C73—42no—
720C2×C4×C73—21no—
721C2×C4×C73—22no—
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×C73—42no—
732C2×C4×C73—42no—
733C2×C4×C73—42no—
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C2511yescharacteristic
740C22⋊D73—22no—
741C22⋊D73—41no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—81no—
759C2×Dic73—81no—
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766D292—21no—
767D292—21no—
768D292—21no—
769D292—21no—
770D292—21no—
771D292—21no—
772D292—21no—
773D292—41no—
774D292—42no—
775D292—42no—
776D292—42no—
777D292—42no—
778D292—42no—
779D292—42no—
780D292—81no—
781D292—81no—
782D292—81no—
783D292—81no—
784D292C2×#4112yes—
785C4×D73—22no—
786C4×D73—22no—
787C4×D73—21no—
788C4×D73—21no—
789C4×D73—21no—
790C4×D73—21no—
791C4×D73—22no—
792C4×D73—41no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—42no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807Dic146—22no—
808Dic146—81no—
809Dic146—81no—
810Dic146—81no—
811Dic146—81no—
812C8×C73—21no—
813C8×C73—21no—
814C8×C73—21no—
815C8×C73—21no—
816#10596831—21no—
817#10596831—21no—
818#10596831—21no—
819#10596831C2×#4112yes—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—21no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73C23×D411yescharacteristic
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—22no—
833C2×D73—21no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—21no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—84no—
849C2×D73—84no—
850C4×C73—22no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73#57612yes—
861C4×C73C22×#4111yescharacteristic
862C4×C73#58511yescharacteristic
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—41no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73#57512yes—
873#61449—731nomaximal, Sylow
874C2×C73—41no—
875C2×C73—81no—
876C2×C73—81no—
877C2×C73D4×#4111yescharacteristic
878C2×C73C2×#57511yescharacteristic
879C2×C73C2×#57611yescharacteristic
880D73—41no—
881D73—41no—
882D73—42no—
883D73—81no—
884D73—81no—
885D73—81no—
886#3483—731no—
887#3481—731no—
888#3399—731no—
889#3385—731no—
890#3375—731no—
891#3366—731no—
892#3357—731no—
893#3347—731no—
894#3347—731no—
895#3333—731no—
896#3325—731no—
897#3319—731no—
898#3319—731no—
899#3309—731no—
900#3309—731no—
901#3274—731no—
902#3268—731no—
903#3268—731no—
904#3171—731no—
905#3171—731no—
906#3169—731no—
907#3106—731no—
908#3106—731no—
909#3102—731no—
910#3102D7311yescharacteristic, complemented
911#3100—731no—
912#3100—731no—
913#2965—731no—
914C4×AGL(1,ℤ/8)—731no—
915C4×AGL(1,ℤ/8)—731no—
916C4×#135—731no—
917C73#6144911yescharacteristic, complemented, Sylow
918C2×AGL(1,ℤ/8)—731no—
919C2×AGL(1,ℤ/8)—731no—
920C2×#135—731no—
921#559—731no—
922Q82—731no—
923#555—731no—
924#555—731no—
925#555—731no—
926#555—1461no—
927#555—1461no—
928#555—1461no—
929#554—731no—
930#554—731no—
931#553—731no—
932#553—731no—
933#553—1461no—
934#551—1461no—
935#551—1461no—
936#550—731no—
937#550—731no—
938#550—731no—
939#550—731no—
940#550—1461no—
941#546—731no—
942#546—731no—
943#546—1461no—
944D42—731no—
945#532—731no—
946#532—731no—
947#532—731no—
948#532—731no—
949#532—1461no—
950#532—1461no—
951#532—1461no—
952#529—731no—
953#529—1461no—
954#529C2×D7311yescharacteristic
955#525—1461no—
956#525—1461no—
957C4×#41—731no—
958C4×#41—731no—
959C4×#41—731no—
960C4×#41—731no—
961C4×#41—1461no—
962C4×#41C2×D7311yescharacteristic, complemented
963C2×C4×D4—731no—
964C2×C4×D4—731no—
965C2×C4×D4—1461no—
966#501—731no—
967#501—731no—
968#500—731no—
969#496—731no—
970#496—731no—
971#493—731no—
972#490—731no—
973#490—731no—
974#489—731no—
975#489—731no—
976#486—731no—
977#486—731no—
978#485—731no—
979#485C2×D7311yescharacteristic, complemented
980#482—731no—
981#482—731no—
982#482—731no—
983#482—731no—
984#482—731no—
985#482C2×D7311yescharacteristic
986#480—731no—
987#480—731no—
988#480—731no—
989#480—731no—
990#479—731no—
991#479C2×D7311yescharacteristic, complemented
992#478—731no—
993#478C2×D7311yescharacteristic, complemented
994#477—731no—
995#477—731no—
996#476—731no—
997#476—731no—
998#474—731no—
999#474—731no—
1000#474—731no—
1001#474—731no—
1002#469—731no—
1003#469—731no—
1004#469—731no—
1005#469—731no—
1006#468—731no—
1007#468—731no—
1008#468—731no—
1009#468—731no—
1010#466—731no—
1011#466—731no—
1012#466—731no—
1013#466—731no—
1014#464—731no—
1015#464C2×D7311yescharacteristic, complemented
1016#463—731no—
1017#463C2×D7311yescharacteristic, complemented
1018#460—731no—
1019#460—731no—
1020#459—731no—
1021#459—731no—
1022#459—731no—
1023#459—731no—
1024#459—731no—
1025#459—731no—
1026#452—731no—
1027#452C2×D7311yescharacteristic, complemented
1028#449—731no—
1029#449—731no—
1030#449—731no—
1031#449—731no—
1032#449—731no—
1033#449C2×D7311yescharacteristic
1034#447—731no—
1035#447—731no—
1036#447—731no—
1037#447—731no—
1038#446—731no—
1039#446—731no—
1040#442—731no—
1041#442—731no—
1042#442—731no—
1043#442—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048C4×Q16—731no—
1049C4×Q16C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16C2×D7311yescharacteristic, complemented
1057C4×SD16C2×D7311yescharacteristic, complemented
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062C4×D8—731no—
1063C4×D8—731no—
1064C4×D8—731no—
1065C4×D8—731no—
1066C4×D8—731no—
1067C4×D8C2×D7311yescharacteristic, complemented
1068#436—731no—
1069#436—731no—
1070#435—731no—
1071#435—731no—
1072#435—731no—
1073#435—731no—
1074#431—731no—
1075#431—731no—
1076#431C2×D7311yescharacteristic, complemented
1077#428—731no—
1078#428—731no—
1079#427—731no—
1080#418—731no—
1081#418—731no—
1082#417—731no—
1083#417—731no—
1084#416—731no—
1085#416—731no—
1086C4×M16—731no—
1087C4×M16—731no—
1088C2×C4×C8—731no—
1089C2×#41—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—1461no—
1094C2×#41—1461no—
1095C2×#41—1461no—
1096C2×#41—1461no—
1097C2×#41—1461no—
1098C2×#41C22×D7311yescharacteristic
1099C22×D4—731no—
1100C22×D4—731no—
1101C22×D4—1461no—
1102C23×C4—1461no—
1103C23×C4—1461no—
1104AGL(1,ℤ/8)—1464no—
1105AGL(1,ℤ/8)—1464no—
1106#135—1464no—
1107C2×Q16C22×D7311yescharacteristic
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16C22×D7311yescharacteristic
1113C2×SD16C22×D7311yescharacteristic
1114C2×D8—731no—
1115C2×D8—731no—
1116C2×D8—731no—
1117C2×D8—731no—
1118C2×D8—731no—
1119C2×D8—731no—
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8C22×D7311yescharacteristic
1123C2×M16—731no—
1124C2×M16—731no—
1125C2×M16—731no—
1126C2×M16—731no—
1127C22×C8—731no—
1128C22×C8—731no—
1129C4⋊Q8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—1461no—
1134C4⋊Q8—1461no—
1135C4⋊Q8—1461no—
1136#127—731no—
1137#127—731no—
1138#127—731no—
1139#127—731no—
1140#127—1461no—
1141#127—1461no—
1142#127—1461no—
1143#126—21no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#125—731no—
1148#125—1461no—
1149#125C22×D7311yescharacteristic
1150#124—731no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#124—1461no—
1157#124—1461no—
1158#124—1461no—
1159#124—1461no—
1160#124—1461no—
1161#124—1461no—
1162#124C22×D7311yescharacteristic
1163#123—21no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171C22⋊Q8—731no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8C22×D7311yescharacteristic
1178#121—731no—
1179#121—731no—
1180#121—731no—
1181#121—731no—
1182#121—731no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#121—1461no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121C22×D7311yescharacteristic
1209#120—1461no—
1210#120—1461no—
1211#120—1461no—
1212#120—1461no—
1213C4×Q8—731no—
1214C4×Q8—731no—
1215C4×Q8—731no—
1216C4×Q8—731no—
1217C4×Q8—731no—
1218C4×Q8—1461no—
1219C4×Q8C22×D7311yescharacteristic
1220C4×Q8C22×D7311yescharacteristic
1221C4×Q8C22×D7311yescharacteristic
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266C4×D4C22×D7311yescharacteristic
1267#117—21no—
1268#117—21no—
1269#117—731no—
1270#117—731no—
1271#117—731no—
1272#117—731no—
1273#117—731no—
1274#117—731no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117C22×D7311yescharacteristic
1283C2×C4⋊C4—731no—
1284C2×C4⋊C4—731no—
1285C2×C4⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C42—21no—
1291C2×C42—731no—
1292C2×C42—731no—
1293C2×C42—1461no—
1294C2×C42—1461no—
1295C2×C42—1461no—
1296C2×C42C22×D7311yescharacteristic
1297#107—731no—
1298#107—731no—
1299#107—731no—
1300#107—731no—
1301#107—731no—
1302#107—731no—
1303#107—731no—
1304#107—731no—
1305#107C22×D7311yescharacteristic
1306#107C22×D7311yescharacteristic
1307#106—731no—
1308#106—731no—
1309#106—731no—
1310#106—731no—
1311#106C22×D7311yescharacteristic
1312#106C22×D7311yescharacteristic
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8C22×D7311yescharacteristic
1318C4⋊C8C22×D7311yescharacteristic
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103C22×D7311yescharacteristic
1324#103C22×D7311yescharacteristic
1325#103C22×D7311yescharacteristic
1326#103C22×D7311yescharacteristic
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350#102C22×D7311yescharacteristic
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8C22×D7311yescharacteristic
1356C22⋊C8C22×D7311yescharacteristic
1357#97—731no—
1358#97—731no—
1359#97—731no—
1360#97—731no—
1361C4×C8—731no—
1362C4×C8—731no—
1363C4×C8—731no—
1364C4×C8—731no—
1365C4×C8C22×D7311yescharacteristic
1366C4×C8C22×D7311yescharacteristic
1367C24—1461no—
1368C24—1461no—
1369#41—22no—
1370#41—41no—
1371#41—2924no—
1372#41—2922no—
1373#41—2921no—
1374#41—2921no—
1375#41—2921no—
1376#41—5842no—
1377#41—5842no—
1378#41—5842no—
1379#41—5842no—
1380#41—1462no—
1381#41—1462no—
1382#41—1462no—
1383C2×Q8—731no—
1384C2×Q8—1461no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8—1461no—
1388C2×Q8C23×D7311yescharacteristic
1389C2×Q8C23×D7311yescharacteristic
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—2921no—
1393C2×D4—2924no—
1394C2×D4—2921no—
1395C2×D4—731no—
1396C2×D4—731no—
1397C2×D4—731no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—731no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1462no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1462no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4C23×D7311yescharacteristic
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—5842no—
1433C22×C4—5842no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—731no—
1438C22×C4—731no—
1439C22×C4—731no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4D4×D7311yescharacteristic
1457C22×C4D4×D7311yescharacteristic
1458C22×C4C23×D7311yescharacteristic
1459Q16—22no—
1460SD16—22no—
1461SD16—41no—
1462SD16—2921no—
1463SD16—734no—
1464SD16—1462no—
1465SD16—1462no—
1466D8—41no—
1467D8—2921no—
1468D8—2921no—
1469D8—2921no—
1470D8—1462no—
1471D8—1462no—
1472D8—1462no—
1473D8—1462no—
1474D8—1462no—
1475M16—2921no—
1476M16—2921no—
1477M16—1462no—
1478M16—1462no—
1479C2×C8—2921no—
1480C2×C8—731no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—1462no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—731no—
1504C4⋊C4—731no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4C23×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C4⋊C4C23×D7311yescharacteristic
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—731no—
1530C22⋊C4—731no—
1531C22⋊C4—731no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
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—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C42—21no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—731no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—731no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42D4×D7311yescharacteristic
1578C42D4×D7311yescharacteristic
1579C42C23×D7311yescharacteristic
1580C42C23×D7311yescharacteristic
1581C23—21no—
1582C23—21no—
1583C23—2922no—
1584C23—2922no—
1585C23—2922no—
1586C23—2922no—
1587C23—5841no—
1588C23—5841no—
1589C23—731no—
1590C23—731no—
1591C23—1461no—
1592C23—1461no—
1593C23—1461no—
1594C23—1461no—
1595C23C2×D4×D7311yescharacteristic
1596Q8—21no—
1597Q8—21no—
1598Q8—21no—
1599Q8—5841no—
1600Q8—5841no—
1601Q8—5841no—
1602Q8—5841no—
1603Q8—1462no—
1604Q8#41×D7312yes—
1605D4—21no—
1606D4—21no—
1607D4—21no—
1608D4—21no—
1609D4—42no—
1610D4—42no—
1611D4—2922no—
1612D4—2922no—
1613D4—2922no—
1614D4—2922no—
1615D4—2921no—
1616D4—2922no—
1617D4—2922no—
1618D4—2922no—
1619D4—2922no—
1620D4—2921no—
1621D4—2922no—
1622D4—2922no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—5841no—
1633D4—5841no—
1634D4—5841no—
1635D4—732no—
1636D4—1462no—
1637D4—1461no—
1638D4—1461no—
1639D4—1461no—
1640D4—1461no—
1641D4—1461no—
1642D4—1461no—
1643D4—1461no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—41no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—42no—
1657C2×C4—42no—
1658C2×C4—2922no—
1659C2×C4—2922no—
1660C2×C4—2921no—
1661C2×C4—2922no—
1662C2×C4—2922no—
1663C2×C4—2922no—
1664C2×C4—2922no—
1665C2×C4—2922no—
1666C2×C4—2922no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—5841no—
1670C2×C4—5841no—
1671C2×C4—5841no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—731no—
1676C2×C4—731no—
1677C2×C4—731no—
1678C2×C4—731no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—1462no—
1682C2×C4—1461no—
1683C2×C4—1461no—
1684C2×C4—1461no—
1685C2×C4—1461no—
1686C2×C4—1462no—
1687C2×C4—1462no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4C2×D4×D7311yescharacteristic
1693C2×C4C2×D4×D7311yescharacteristic
1694C2×C4C2×D4×D7311yescharacteristic
1695C2×C4C2×D4×D7311yescharacteristic
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C24×D7311yescharacteristic
1698C8—21no—
1699C8—21no—
1700C8—21no—
1701C8—21no—
1702C8—732no—
1703C8—1461no—
1704C8—1461no—
1705C8—1461no—
1706C22—21no—
1707C22—21no—
1708C22—21no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—2921no—
1716C22—2921no—
1717C22—2921no—
1718C22—2921no—
1719C22—2921no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—5844no—
1727C22—5844no—
1728C22—1461no—
1729C22—1461no—
1730C22—1461no—
1731C22—1461no—
1732C22—1462no—
1733C22—1461no—
1734C22—1461no—
1735C22C22×D4×D7311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—22no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—2921no—
1747C4—2921no—
1748C4—2921no—
1749C4—2921no—
1750C4—732no—
1751C4—1461no—
1752C4—1461no—
1753C4—1461no—
1754C4—1461no—
1755C4—1461no—
1756C4#1798938912yes—
1757C4C2×#41×D7311yescharacteristic
1758C4#1798942311yescharacteristic
1759C2—41no—
1760C2—81no—
1761C2—81no—
1762C2—2922no—
1763C2—2921no—
1764C2—2921no—
1765C2—5841no—
1766C2—5841no—
1767C2—5841no—
1768C2#2262341411yescharacteristic
1769C2#575×D7311yescharacteristic
1770C2C2×#1798938911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3102C2
socleC22×C73C23×D4
hypercenter#3102D73
hypocenterC73#61449
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3102

Complements

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

NH ≅ G/Ntype
1. #22623557C2semidirect
2. #22623537C2semidirect
3. #22622968C2semidirect
4. #22622844C2semidirect
5. #22622740C2semidirect
6. #22622641C2semidirect
7. #22622555C2semidirect
8. #22622428C2semidirect
9. #22622424C2semidirect
10. #22622262C2semidirect
11. #22622171C2semidirect
12. #22622094C2semidirect
13. #22622090C2semidirect
14. #22621934C2semidirect
15. #22621930C2semidirect
16. #22621544C2semidirect
17. #22621474C2semidirect
18. #22621466C2semidirect
19. #22620527C2semidirect
20. #22620522C2semidirect
21. #22620507C2semidirect
22. #22619989C2semidirect
23. #22619989C2semidirect
24. #22619955C2semidirect
25. #22619932C2semidirect
26. #22619929C2semidirect
27. #22618895C2semidirect
28. C4×#14556618C2semidirect
29. C4×#14556616C2semidirect
30. C4×#14556614C2semidirect
31. C73×#3102C2semidirect
36. Q8×Dic146C22semidirect
38. #17989302C22semidirect
42. #17989300C22semidirect
50. #17989259C22semidirect
52. #17989258C22semidirect
54. #17989256C22semidirect
60. #17989137C22semidirect
64. #17989134C22semidirect
65. #17989134C22semidirect
71. C4×#11924029C22semidirect
72. C4×#11924029C22semidirect
78. #17988997C22semidirect
79. #17988994C22semidirect
80. #17988991C22semidirect
81. #17988977C22semidirect
82. #17988973C22semidirect
84. #17988953C22semidirect
85. #17988950C22semidirect
86. #17988948C22semidirect
87. #17988946C22semidirect
89. #17988932C22semidirect
90. #17988927C22semidirect
92. #17988913C22semidirect
93. #17988913C22semidirect
94. #17988909C22semidirect
95. #17988909C22semidirect
96. #17988902C22semidirect
97. #17988901C22semidirect
98. #17988901C22semidirect
99. #17988899C22semidirect
100. #17988896C22semidirect
101. #17988890C22semidirect
102. #17988880C22semidirect
103. #17988880C22semidirect
105. #17988876C22semidirect
107. #17988868C22semidirect
109. #17988865C22semidirect
114. #17988836C22semidirect
115. #17988835C22semidirect
116. #17988835C22semidirect
117. #17988830C22semidirect
118. #17988824C22semidirect
119. #17988822C22semidirect
120. #17988822C22semidirect
121. #17988820C22semidirect
122. #17988811C22semidirect
123. #17988805C22semidirect
125. #17988785C22semidirect
127. #17988783C22semidirect
131. #17988780C22semidirect
132. #17988748C22semidirect
135. #17988735C22semidirect
137. #17988731C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
146. #17988697C22semidirect
147. #17988696C22semidirect
149. #17988688C22semidirect
151. #17988685C22semidirect
152. Q16×Dic73C22semidirect
154. C4×#11924015C22semidirect
155. C4×#11924015C22semidirect
156. C4×#11924015C22semidirect
158. #17988672C22semidirect
161. C4×D584C22semidirect
162. C4×D584C22semidirect
165. C4×#11924013C22semidirect
166. C4×#11924013C22semidirect
167. C4×#11924013C22semidirect
170. #17988661C22semidirect
171. #17988661C22semidirect
172. #17988657C22semidirect
173. #17988657C22semidirect
174. #17988638C22semidirect
175. #17988638C22semidirect
176. #17988630C22semidirect
177. #17988626C22semidirect
178. #17988624C22semidirect
181. #17988588C22semidirect
182. #17988587C22semidirect
184. #17988582C22semidirect
185. C4×#11924012C22semidirect
186. C4×#11924011C22semidirect
187. C4×C8×D73C22semidirect
189. C4×#41×C73C22semidirect
190. #485×C73C22semidirect
192. #479×C73C22semidirect
193. #478×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #452×C73C22semidirect
198. C4×Q16×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #431×C73C22semidirect
561. #11924015#41semidirect
910. #3102D73semidirect
917. C73#61449semidirect
962. C4×#41C2×D73semidirect
979. #485C2×D73semidirect
991. #479C2×D73semidirect
993. #478C2×D73semidirect
1015. #464C2×D73semidirect
1017. #463C2×D73semidirect
1027. #452C2×D73semidirect
1049. C4×Q16C2×D73semidirect
1056. C4×SD16C2×D73semidirect
1057. C4×SD16C2×D73semidirect
1067. C4×D8C2×D73semidirect
1076. #431C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235572
#226235372
#226229682
#226228442
#226227402
#226226412
#226225552
#226224282
#226224242
#226222622
#226221712
#226220942
#226220902
#226219342
#226219302
#226215442
#226214742
#226214662
#226205272
#226205222
#226205072
#226199892
#226199552
#226199322
#226199292
#226188952
C4×#145566182
C4×#145566162
C4×#145566142
C73×#31022
#6144973