Finite Group Databasebeta

← #33978236

Subgroups — #33978236

Order 18688.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623880C211yesmaximal, characteristic, complemented
2#22623548C211yesmaximal, characteristic, complemented
3#22622928C211yesmaximal, characteristic, complemented
4#22622919C211yesmaximal, characteristic, complemented
5#22622628C211yesmaximal, characteristic, complemented
6#22622617C211yesmaximal, characteristic, complemented
7#22621823C211yesmaximal, characteristic, complemented
8#22621816C211yesmaximal, characteristic, complemented
9#22621794C211yesmaximal, characteristic, complemented
10#22621771C211yesmaximal, characteristic, complemented
11#22621764C211yesmaximal, characteristic, complemented
12#22621742C211yesmaximal, characteristic, complemented
13#22621676C211yesmaximal, characteristic, complemented
14#22621673C211yesmaximal, characteristic, complemented
15#22621665C211yesmaximal, characteristic, complemented
16#22621640C211yesmaximal, characteristic, complemented
17#22621631C211yesmaximal, characteristic, complemented
18#22621620C211yesmaximal, characteristic, complemented
19#22621285C211yesmaximal, characteristic, complemented
20#22621278C211yesmaximal, characteristic, complemented
21#22621267C211yesmaximal, characteristic, complemented
22#22620900C211yesmaximal, characteristic, complemented
23#22620898C211yesmaximal, characteristic, complemented
24#22620886C211yesmaximal, characteristic, complemented
25#22620016C211yesmaximal, characteristic, complemented
26#22619956C211yesmaximal, characteristic, complemented
27#22619385C211yesmaximal, characteristic, complemented
28C2×#17988809C211yesmaximal, characteristic, complemented
29#464×D73C211yesmaximal, characteristic, complemented
30#22619039C211yesmaximal, characteristic, complemented
31C73×#3108C211yesmaximal, characteristic, complemented
32C2×#14556614C2211yescharacteristic, complemented
33C2×#14556612C2211yescharacteristic, complemented
34C22×#11924018C2211yescharacteristic, complemented
35C2×Q16×D73C2211yescharacteristic, complemented
36C22×#11924015C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic
38#17989320C2211yescharacteristic
39#17989313C2211yescharacteristic, complemented
40#17989309—21no—
41#17989309C2211yescharacteristic
42#17989309C2211yescharacteristic, complemented
43#17989300—21no—
44#17989278—21no—
45#17989278C2211yescharacteristic, complemented
46#17989272—21no—
47#17989272C2211yescharacteristic, complemented
48#17989261—21no—
49#17989260—21no—
50Q8×C22⋊D73C2211yescharacteristic
51#17989250C2211yescharacteristic
52#17989249C2211yescharacteristic
53#17989249C2211yescharacteristic, complemented
54#17989248C2211yescharacteristic, complemented
55#17989243C2211yescharacteristic
56#17989238—21no—
57#17989238C2211yescharacteristic
58#17989232C2211yescharacteristic
59#17989229—21no—
60#17989228C2211yescharacteristic
61#17989221C2211yescharacteristic
62#17989203—21no—
63#17989176—21no—
64#17989170—21no—
65#17989141—21no—
66#17989141C2211yescharacteristic, complemented
67#17989136C2211yescharacteristic
68#17989124—21no—
69#17989124C2211yescharacteristic, complemented
70#17989122C2211yescharacteristic
71#17989122C2211yescharacteristic
72#17989121—21no—
73#17989121C2211yescharacteristic, complemented
74C2×#14556579C2211yescharacteristic
75#124×D73C2211yescharacteristic
76#17989059—21no—
77C4×#11924029C2211yescharacteristic, complemented
78C4×#11924028—21no—
79C4×#11924028C2211yescharacteristic
80C4×Q8×D73C2211yescharacteristic, complemented
81#17988972C2211yescharacteristic
82#17988971C2211yescharacteristic
83#17988971C2211yescharacteristic, complemented
84#17988968C2211yescharacteristic, complemented
85#17988965C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic
87#17988943C2211yescharacteristic
88#17988942C2211yescharacteristic
89#17988942C2211yescharacteristic, complemented
90#17988940C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988932C2211yescharacteristic
93#17988930C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic
96#17988902C2211yescharacteristic
97#17988894C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988887C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic
105#17988829C2211yescharacteristic, complemented
106#17988827C2211yescharacteristic, complemented
107#17988827C2211yescharacteristic, complemented
108#17988826C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic
110#17988821C2211yescharacteristic
111#17988819C2211yescharacteristic
112#17988819C2211yescharacteristic
113#17988818C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic
115#17988817C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic
117#17988812C2211yescharacteristic
118#17988812C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic
120#17988810C2211yescharacteristic
121#17988810C2211yescharacteristic, complemented
122#17988809C2211yescharacteristic
123#17988809C2211yescharacteristic
124#17988809C2211yescharacteristic
125#17988809C2211yescharacteristic
126#17988809C2211yescharacteristic, complemented
127#17988809C2211yescharacteristic, complemented
128#17988809C2211yescharacteristic, complemented
129#17988809C2211yescharacteristic, complemented
130#17988809C2211yescharacteristic, complemented
131#17988808C2211yescharacteristic, complemented
132#17988807C2211yescharacteristic, complemented
133#17988806C2211yescharacteristic, complemented
134#17988805C2211yescharacteristic, complemented
135#17988803C2211yescharacteristic
136#17988803C2211yescharacteristic, complemented
137#17988802C2211yescharacteristic, complemented
138#17988799C2211yescharacteristic, complemented
139#17988796C2211yescharacteristic, complemented
140#17988795C2211yescharacteristic, complemented
141#17988791C2211yescharacteristic
142#17988791C2211yescharacteristic, complemented
143#17988785C2211yescharacteristic
144#17988781C2211yescharacteristic
145#17988752C2211yescharacteristic, complemented
146#17988752C2211yescharacteristic, complemented
147#17988750C2211yescharacteristic, complemented
148#17988748C2211yescharacteristic, complemented
149#17988746C2211yescharacteristic, complemented
150#17988745C2211yescharacteristic, complemented
151#17988744C2211yescharacteristic, complemented
152#17988741C2211yescharacteristic, complemented
153#17988740C2211yescharacteristic
154#17988736C2211yescharacteristic
155#17988735C2211yescharacteristic
156#17988728C2211yescharacteristic, complemented
157#17988727C2211yescharacteristic
158#17988727C2211yescharacteristic, complemented
159#17988723C2211yescharacteristic
160#17988722C2211yescharacteristic
161C8×Dic146C2211yescharacteristic, complemented
162C8×Dic146C2211yescharacteristic, complemented
163#17988681C2211yescharacteristic, complemented
164#17988679C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988674C2211yescharacteristic, complemented
168#17988672C2211yescharacteristic
169#17988672C2211yescharacteristic, complemented
170#17988669C2211yescharacteristic
171C8×D292C2211yescharacteristic, complemented
172C8×D292C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic
174#17988650C2211yescharacteristic
175#17988650C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988639C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179C2×C4⋊#10596831C2211yescharacteristic, complemented
180C4⋊C8×D73C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184C2×#14556514C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556511C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#529×C73C2211yescharacteristic
189C2×C4×Q8×C73C2211yescharacteristic, complemented
190#483×C73C2211yescharacteristic, complemented
191#480×C73C2211yescharacteristic
192#479×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#451×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic
198C4×Q16×C73C2211yescharacteristic, complemented
199C4×Q16×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#431×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028D411yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C2×Q8×D73C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214#14556614—42no—
215#14556612—42no—
216C2×Dic292C2311yescharacteristic
217C2×Dic292C2311yescharacteristic
218C2×#11924018—42no—
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224Q16×D73—42no—
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924015—42no—
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×#11924015C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236SD16×D73—42no—
237C2×D584C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C22×#10596831C2311yescharacteristic
241C22×#10596831C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556590—21no—
247#14556590—21no—
248#14556590C2311yescharacteristic
249#14556589—21no—
250#14556589C2311yescharacteristic
251#14556589C2311yescharacteristic
252#14556587C2311yescharacteristic
253#14556586—21no—
254#14556586—21no—
255#14556586—21no—
256#14556586—21no—
257#14556586—21no—
258#14556586—21no—
259#14556585—21no—
260#14556585—21no—
261#14556585—21no—
262#14556585—21no—
263#14556583—21no—
264#14556583C2311yescharacteristic
265#14556582—21no—
266#14556582C2311yescharacteristic
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556580—21no—
271#14556580C2311yescharacteristic
272#14556580C2311yescharacteristic
273#14556579—21no—
274#14556579—21no—
275#14556579—21no—
276#14556579—21no—
277#14556579C2311yescharacteristic
278#14556579C2311yescharacteristic
279#14556579C2311yescharacteristic
280#14556579C2311yescharacteristic
281#14556579C2311yescharacteristic
282#14556578C2311yescharacteristic
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556575—21no—
294#14556574—21no—
295#14556574—21no—
296#14556574—21no—
297#14556574—21no—
298#14556573—21no—
299#14556571—21no—
300#14556571—21no—
301#14556571C2311yescharacteristic
302#14556571C2311yescharacteristic
303#14556571C2311yescharacteristic
304#14556570—21no—
305#14556570C2311yescharacteristic
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556569—21no—
310#14556569—21no—
311#14556568—21no—
312#14556568—21no—
313#14556567—21no—
314#14556567—21no—
315#14556567C2311yescharacteristic
316#14556567C2311yescharacteristic
317#14556566—21no—
318#14556566—21no—
319#14556566—21no—
320#14556566C2311yescharacteristic
321#14556566C2311yescharacteristic
322#14556566C2311yescharacteristic
323#14556565—21no—
324#14556565—21no—
325#14556565C2311yescharacteristic
326#14556564—21no—
327#14556564—21no—
328#14556564—21no—
329#14556563—21no—
330#14556561—21no—
331#14556561—21no—
332#14556561—21no—
333#14556559—21no—
334Q8×Dic73C2311yescharacteristic
335Q8×Dic73C2311yescharacteristic
336C4×Dic146—21no—
337C4×Dic146—21no—
338C4×Dic146—21no—
339C4×Dic146D411yescharacteristic
340C4×Dic146C2311yescharacteristic
341C4×Dic146C2311yescharacteristic
342#14556556—21no—
343#14556556C2311yescharacteristic
344#14556556C2311yescharacteristic
345#14556556C2311yescharacteristic
346C4×D292—21no—
347C4×D292—21no—
348C4×D292—21no—
349C4×D292—21no—
350C4×D292D411yescharacteristic
351C4×D292C2311yescharacteristic
352C4×D292C2311yescharacteristic
353D4×Dic73—21no—
354#14556553—21no—
355#14556553—21no—
356#14556553—21no—
357#14556553C2311yescharacteristic
358#14556553C2311yescharacteristic
359#14556553C2311yescharacteristic
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73D411yescharacteristic
365C4×C22⋊D73D411yescharacteristic
366C4×C22⋊D73C2311yescharacteristic
367C4×C22⋊D73C2311yescharacteristic
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556550—21no—
372#14556550D411yescharacteristic
373#14556549—21no—
374#14556549—21no—
375#14556549—21no—
376#14556549C2311yescharacteristic
377#14556548—21no—
378#14556548—21no—
379#14556548—21no—
380#14556548—21no—
381#14556548—21no—
382#14556548—21no—
383#14556548D411yescharacteristic
384#14556548D411yescharacteristic
385C4⋊C4×D73—21no—
386C4⋊C4×D73C2311yescharacteristic
387C2×#11924005—21no—
388C2×#11924005—21no—
389C2×#11924005—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C42×D73—21no—
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396C42×D73C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C2×Q16×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446#126×C73—21no—
447#125×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449#123×C73—21no—
450C22⋊Q8×C73C2311yescharacteristic
451#121×C73C2311yescharacteristic
452C4×Q8×C73—21no—
453C4×Q8×C73—21no—
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461#117×C73—21no—
462C2×C4⋊C4×C73—21no—
463C2×C4⋊C4×C73C2311yescharacteristic
464C2×C42×C73—21no—
465C2×C42×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C4×C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—22no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924028—24no—
491#11924028—44no—
492#11924027—41no—
493#11924027—41no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—41no—
499C2×Dic146—41no—
500C2×Dic146C2×D411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504Q8×D73—22no—
505Q8×D73—41no—
506Q8×D73—41no—
507Q8×D73—41no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—41no—
515C2×D292—41no—
516C2×D292C2×D411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73C2×D411yescharacteristic
526C2×C22⋊D73C2×D411yescharacteristic
527D4×D73—41no—
528D4×D73—41no—
529D4×D73—44no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2411yescharacteristic
546C2×C4×D73C2411yescharacteristic
547Dic292—41no—
548Dic292—41no—
549#11924018—22no—
550#11924018—22no—
551#11924018—41no—
552#11924018—41no—
553#11924018—41no—
554#11924017—41no—
555#11924017—41no—
556#11924017—41no—
557#11924017—41no—
558#11924016—41no—
559#11924015—22no—
560#11924015—22no—
561#11924015—41no—
562#11924015—41no—
563#11924015—41no—
564D584—41no—
565D584—41no—
566#11924013—41no—
567C2×#10596831—41no—
568C2×#10596831—41no—
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C8×D73—41no—
574C8×D73—41no—
575C8×D73—41no—
576C8×D73—41no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73C2×D411yescharacteristic
611C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C2×Q8×C73—21no—
658C2×Q8×C73—22no—
659C2×Q8×C73—41no—
660C2×Q8×C73C2411yescharacteristic
661C2×Q8×C73C2411yescharacteristic
662C2×Q8×C73C2411yescharacteristic
663C2×D4×C73—21no—
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73C2×D411yescharacteristic
669C22×C4×C73C2×D411yescharacteristic
670C22×C4×C73C2411yescharacteristic
671Q16×C73—22no—
672Q16×C73—41no—
673SD16×C73—22no—
674SD16×C73—41no—
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C42×C73—21no—
698C42×C73—21no—
699C42×C73—21no—
700C42×C73—21no—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73C22×D411yescharacteristic
708C22×D73—21no—
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—42no—
712C22×D73—42no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73C22×D411yescharacteristic
718C22×D73C22×D411yescharacteristic
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—42no—
725Q8×C73H(5,𝔽2)12yes—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—42no—
729C2×C4×C73—22no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—41no—
740C2×C4×C73—42no—
741C2×C4×C73—42no—
742C2×C4×C73—81no—
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C2511yescharacteristic
749C22⋊D73—22no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73#13514yescomplemented
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—81no—
762C2×Dic73—81no—
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769D292—22no—
770D292—21no—
771D292—21no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—42no—
777D292—42no—
778D292—42no—
779D292—81no—
780D292—81no—
781D292—81no—
782C4×D73—22no—
783C4×D73—21no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—21no—
787C4×D73—22no—
788C4×D73—41no—
789C4×D73—41no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—42no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799Dic146—22no—
800Dic146—21no—
801Dic146—21no—
802Dic146—21no—
803Dic146—21no—
804Dic146—21no—
805Dic146—21no—
806Dic146—42no—
807Dic146—42no—
808Dic146—81no—
809Dic146—81no—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73—21no—
813C8×C73—21no—
814#10596831—21no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73C2×#13512yes—
824C22×C73C23×D411yescharacteristic
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—162no—
840C2×D73—162no—
841C2×D73C2×#13512yes—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—22no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73C2×H(5,𝔽2)11yescharacteristic
855C4×C73#58511yescharacteristic
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73C2×#13512yes—
867#61956—731nomaximal, Sylow
868C2×C73—22no—
869C2×C73—81no—
870C2×C73#348811yescharacteristic
871C2×C73C22×#13511yescharacteristic
872C2×C73#358611yescharacteristic
873D73—22no—
874D73—41no—
875D73—81no—
876D73—81no—
877D73—81no—
878#3514—731no—
879#3482—731no—
880#3394—731no—
881#3393—731no—
882#3365—731no—
883#3364—731no—
884#3300—731no—
885#3300—731no—
886#3298—731no—
887#3296—731no—
888#3296—731no—
889#3294—731no—
890D4×Q16—731no—
891#3285—731no—
892#3285—731no—
893#3282—731no—
894#3282—731no—
895D4×SD16—731no—
896#3250—731no—
897#3250—731no—
898#3248—731no—
899#3211—731no—
900#3211—731no—
901#3210—731no—
902#3108—731no—
903#3108D7311yescharacteristic, complemented
904#3102—731no—
905#3035—731no—
906C2×#464—731no—
907C2×#464—731no—
908#2988—731no—
909C73#6195611yescharacteristic, complemented, Sylow
910C2×#135—731no—
911C2×#135—731no—
912C22×Q16—731no—
913C22×Q16—731no—
914C22×SD16—731no—
915C22×SD16—731no—
916#559—731no—
917#557—731no—
918#556—731no—
919#556—731no—
920#556—1461no—
921#555—1461no—
922#552—731no—
923#552—731no—
924#552—1461no—
925#552—1461no—
926#551—1461no—
927#551—1461no—
928D4×Q8—731no—
929D4×Q8—731no—
930#548—731no—
931#548—731no—
932#548—731no—
933#548—731no—
934#547—731no—
935#547—1461no—
936#546—731no—
937#546—731no—
938#546—1461no—
939D42—731no—
940#542—1461no—
941#538—1461no—
942#538—1461no—
943#533—731no—
944#533—1461no—
945#532—731no—
946#529—731no—
947#529—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#529C2×D7311yescharacteristic
953C2×#124—731no—
954C2×#124—731no—
955#518—1461no—
956C4×#41—731no—
957C4×#41—731no—
958C4×#41—1461no—
959C2×C4×Q8—731no—
960C2×C4×Q8C2×D7311yescharacteristic, complemented
961#495—731no—
962#495—731no—
963#495—731no—
964#495—731no—
965#494—731no—
966#492—731no—
967#488—731no—
968#488—731no—
969#488—731no—
970#488—731no—
971#487—731no—
972#486—731no—
973#485—731no—
974#483—731no—
975#483C2×D7311yescharacteristic, complemented
976#482—731no—
977#480—731no—
978#480C2×D7311yescharacteristic
979#479—731no—
980#479—731no—
981#479—731no—
982#479C2×D7311yescharacteristic, complemented
983#479C2×D7311yescharacteristic, complemented
984#478—731no—
985#478—731no—
986#478—731no—
987#475—731no—
988#474—731no—
989#467—731no—
990#467—731no—
991#467—731no—
992#467—731no—
993#466—731no—
994#466—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#465—731no—
1001#464—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464C2×D7311yescharacteristic, complemented
1019#464C2×D7311yescharacteristic, complemented
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#462—731no—
1026#462—731no—
1027#461—731no—
1028#461—731no—
1029#460—731no—
1030#459—731no—
1031#452—731no—
1032#452—731no—
1033#452—731no—
1034#452—731no—
1035#452—731no—
1036#451—731no—
1037#451—731no—
1038#451—731no—
1039#451C2×D7311yescharacteristic, complemented
1040#450—731no—
1041#450—731no—
1042#449—731no—
1043#448—731no—
1044#448—731no—
1045#448—731no—
1046#448C2×D7311yescharacteristic
1047#447—731no—
1048#447—731no—
1049C8×Q8—731no—
1050C8×Q8—731no—
1051C4×Q16—731no—
1052C4×Q16—731no—
1053C4×Q16—731no—
1054C4×Q16C2×D7311yescharacteristic, complemented
1055C4×Q16C2×D7311yescharacteristic, complemented
1056C4×SD16—731no—
1057C4×SD16—731no—
1058C4×SD16—731no—
1059C4×SD16—731no—
1060C4×SD16C2×D7311yescharacteristic, complemented
1061C4×SD16C2×D7311yescharacteristic, complemented
1062C4×D8—731no—
1063C8×D4—731no—
1064C8×D4—731no—
1065C8×D4—731no—
1066C8×D4—731no—
1067C8×D4—731no—
1068C8×D4—731no—
1069#431—731no—
1070#431—731no—
1071#431C2×D7311yescharacteristic, complemented
1072C2×C4⋊C8—731no—
1073C2×C4⋊C8—731no—
1074C2×C4⋊C8—731no—
1075#416—731no—
1076#416—731no—
1077C2×#103—731no—
1078C2×#103—731no—
1079C2×#102—731no—
1080C2×#102—731no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C22×Q8—731no—
1087C22×Q8—731no—
1088C22×Q8—731no—
1089C22×Q8C22×D7311yescharacteristic
1090C22×D4—731no—
1091C22×D4—731no—
1092C22×D4—1461no—
1093#135—2922no—
1094#135—2922no—
1095C2×Q16—2922no—
1096C2×Q16—2922no—
1097C2×Q16—731no—
1098C2×Q16—731no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×Q16—731no—
1104C2×Q16C22×D7311yescharacteristic
1105C2×Q16C22×D7311yescharacteristic
1106C2×SD16—2922no—
1107C2×SD16—2922no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16C22×D7311yescharacteristic
1119C2×SD16C22×D7311yescharacteristic
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8—731no—
1123C22×C8—731no—
1124C22×C8—731no—
1125C22×C8—731no—
1126C22×C8—731no—
1127C22×C8—731no—
1128C22×C8—731no—
1129C4⋊Q8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—1461no—
1133C4⋊Q8—1461no—
1134C4⋊Q8—1461no—
1135#127—731no—
1136#126—21no—
1137#126—1461no—
1138#126—1461no—
1139#126—1461no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#125—731no—
1148#125—731no—
1149#125—1461no—
1150#125—1461no—
1151#125—1461no—
1152#125—1461no—
1153#125—1461no—
1154#125C22×D7311yescharacteristic
1155#124—731no—
1156#124—731no—
1157#124—731no—
1158#124—731no—
1159#124—731no—
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124C22×D7311yescharacteristic
1173#123—21no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186C22⋊Q8—731no—
1187C22⋊Q8—731no—
1188C22⋊Q8—731no—
1189C22⋊Q8—731no—
1190C22⋊Q8—731no—
1191C22⋊Q8—731no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8C22×D7311yescharacteristic
1205#121—731no—
1206#121—731no—
1207#121—731no—
1208#121—731no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121C22×D7311yescharacteristic
1219#120—1461no—
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223C4×Q8—21no—
1224C4×Q8—21no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—1461no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8C22×D7311yescharacteristic
1238C4×Q8C22×D7311yescharacteristic
1239C4×Q8C22×D7311yescharacteristic
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
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×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4C22×D7311yescharacteristic
1269#117—21no—
1270#117—731no—
1271#117—731no—
1272#117—731no—
1273#117—731no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284C2×C4⋊C4—21no—
1285C2×C4⋊C4—731no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4C22×D7311yescharacteristic
1288C2×C22⋊C4—1461no—
1289C2×C22⋊C4—1461no—
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C42—21no—
1295C2×C42—731no—
1296C2×C42—731no—
1297C2×C42—1461no—
1298C2×C42—1461no—
1299C2×C42C22×D7311yescharacteristic
1300#107—731no—
1301#107—731no—
1302#107C22×D7311yescharacteristic
1303#107C22×D7311yescharacteristic
1304#106—731no—
1305#106—731no—
1306#106C22×D7311yescharacteristic
1307#106C22×D7311yescharacteristic
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8C22×D7311yescharacteristic
1317C4⋊C8C22×D7311yescharacteristic
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103C22×D7311yescharacteristic
1331#103C22×D7311yescharacteristic
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
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#102—731no—
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8C22×D7311yescharacteristic
1355C22⋊C8C22×D7311yescharacteristic
1356C4×C8—731no—
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8C22×D7311yescharacteristic
1361C4×C8C22×D7311yescharacteristic
1362C24—1461no—
1363C24—1461no—
1364#41—2924no—
1365#41—2921no—
1366#41—2921no—
1367#41—2921no—
1368#41—2921no—
1369#41—2921no—
1370#41—1464no—
1371#41—1462no—
1372C2×Q8—21no—
1373C2×Q8—22no—
1374C2×Q8—41no—
1375C2×Q8—2921no—
1376C2×Q8—2921no—
1377C2×Q8—2921no—
1378C2×Q8—2921no—
1379C2×Q8—2921no—
1380C2×Q8—731no—
1381C2×Q8—731no—
1382C2×Q8—731no—
1383C2×Q8—731no—
1384C2×Q8—1461no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8—1462no—
1388C2×Q8—1461no—
1389C2×Q8C23×D7311yescharacteristic
1390C2×Q8C23×D7311yescharacteristic
1391C2×Q8C23×D7311yescharacteristic
1392C2×D4—21no—
1393C2×D4—2921no—
1394C2×D4—2921no—
1395C2×D4—2924no—
1396C2×D4—2921no—
1397C2×D4—2921no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—731no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
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×D4C23×D7311yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—731no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4D4×D7311yescharacteristic
1437C22×C4D4×D7311yescharacteristic
1438C22×C4C23×D7311yescharacteristic
1439Q16—22no—
1440Q16—41no—
1441Q16—2921no—
1442Q16—2921no—
1443Q16—2921no—
1444Q16—2921no—
1445Q16—2921no—
1446Q16—1462no—
1447Q16—1462no—
1448SD16—22no—
1449SD16—41no—
1450SD16—2921no—
1451SD16—2921no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—2921no—
1455SD16—2921no—
1456SD16—2921no—
1457SD16—2921no—
1458SD16—1462no—
1459SD16—1462no—
1460D8—2921no—
1461D8—2921no—
1462D8—2921no—
1463C2×C8—2921no—
1464C2×C8—2921no—
1465C2×C8—2921no—
1466C2×C8—2921no—
1467C2×C8—2921no—
1468C2×C8—2921no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C2×C8C23×D7311yescharacteristic
1476C2×C8C23×D7311yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
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⋊C4C23×D7311yescharacteristic
1517C4⋊C4C23×D7311yescharacteristic
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—731no—
1529C22⋊C4—731no—
1530C22⋊C4—731no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
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—
1561C22⋊C4—1461no—
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—731no—
1571C42—731no—
1572C42—731no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42D4×D7311yescharacteristic
1581C42D4×D7311yescharacteristic
1582C42C23×D7311yescharacteristic
1583C42C23×D7311yescharacteristic
1584C23—21no—
1585C23—2922no—
1586C23—2922no—
1587C23—5841no—
1588C23—5841no—
1589C23—5841no—
1590C23—5841no—
1591C23—731no—
1592C23—731no—
1593C23—1461no—
1594C23—1461no—
1595C23—1461no—
1596C23C2×D4×D7311yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—42no—
1603Q8—2922no—
1604Q8—2922no—
1605Q8—5841no—
1606Q8—5841no—
1607Q8—1462no—
1608Q8—1461no—
1609Q8—1461no—
1610Q8—1461no—
1611Q8—1461no—
1612Q8—1461no—
1613Q8—1461no—
1614Q8#1455663712yes—
1615D4—21no—
1616D4—21no—
1617D4—42no—
1618D4—2922no—
1619D4—2922no—
1620D4—2922no—
1621D4—2922no—
1622D4—2922no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—734no—
1630D4—1462no—
1631D4—1462no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4—1461no—
1636D4—1461no—
1637D4—1461no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—41no—
1649C2×C4—42no—
1650C2×C4—42no—
1651C2×C4—81no—
1652C2×C4—2922no—
1653C2×C4—2922no—
1654C2×C4—2922no—
1655C2×C4—2921no—
1656C2×C4—2921no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—2922no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—1462no—
1672C2×C4—1462no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C2×D4×D7311yescharacteristic
1686C2×C4C2×D4×D7311yescharacteristic
1687C2×C4C24×D7311yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1461no—
1693C8—1461no—
1694C8—1461no—
1695C8—1461no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—2921no—
1702C22—2921no—
1703C22—2921no—
1704C22—2921no—
1705C22—2921no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—732no—
1711C22—11682no—
1712C22—11682no—
1713C22—1461no—
1714C22—1461no—
1715C22—1461no—
1716C22—1461no—
1717C22—1461no—
1718C22#135×D7312yes—
1719C22C22×D4×D7311yescharacteristic
1720C4—21no—
1721C4—22no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—732no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C2×#1455663711yescharacteristic
1744C4#1798942311yescharacteristic
1745C2—22no—
1746C2—81no—
1747C2—2921no—
1748C2—5841no—
1749C2—5841no—
1750C2—5841no—
1751C2—1462no—
1752C2#2262359211yescharacteristic
1753C2C2×#135×D7311yescharacteristic
1754C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3108C2
socleC22×C73C23×D4
hypercenter#3108D73
hypocenterC73#61956
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3108

Complements

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

NH ≅ G/Ntype
1. #22623880C2semidirect
2. #22623548C2semidirect
3. #22622928C2semidirect
4. #22622919C2semidirect
5. #22622628C2semidirect
6. #22622617C2semidirect
7. #22621823C2semidirect
8. #22621816C2semidirect
9. #22621794C2semidirect
10. #22621771C2semidirect
11. #22621764C2semidirect
12. #22621742C2semidirect
13. #22621676C2semidirect
14. #22621673C2semidirect
15. #22621665C2semidirect
16. #22621640C2semidirect
17. #22621631C2semidirect
18. #22621620C2semidirect
19. #22621285C2semidirect
20. #22621278C2semidirect
21. #22621267C2semidirect
22. #22620900C2semidirect
23. #22620898C2semidirect
24. #22620886C2semidirect
25. #22620016C2semidirect
26. #22619956C2semidirect
27. #22619385C2semidirect
28. C2×#17988809C2semidirect
29. #464×D73C2semidirect
30. #22619039C2semidirect
31. C73×#3108C2semidirect
32. C2×#14556614C22semidirect
33. C2×#14556612C22semidirect
34. C22×#11924018C22semidirect
35. C2×Q16×D73C22semidirect
39. #17989313C22semidirect
42. #17989309C22semidirect
45. #17989278C22semidirect
47. #17989272C22semidirect
53. #17989249C22semidirect
54. #17989248C22semidirect
66. #17989141C22semidirect
69. #17989124C22semidirect
73. #17989121C22semidirect
77. C4×#11924029C22semidirect
80. C4×Q8×D73C22semidirect
83. #17988971C22semidirect
84. #17988968C22semidirect
85. #17988965C22semidirect
89. #17988942C22semidirect
90. #17988940C22semidirect
91. #17988936C22semidirect
93. #17988930C22semidirect
94. #17988919C22semidirect
97. #17988894C22semidirect
98. #17988893C22semidirect
99. #17988891C22semidirect
100. #17988887C22semidirect
101. #17988886C22semidirect
102. #17988884C22semidirect
103. #17988871C22semidirect
105. #17988829C22semidirect
106. #17988827C22semidirect
107. #17988827C22semidirect
108. #17988826C22semidirect
113. #17988818C22semidirect
115. #17988817C22semidirect
118. #17988812C22semidirect
121. #17988810C22semidirect
126. #17988809C22semidirect
127. #17988809C22semidirect
128. #17988809C22semidirect
129. #17988809C22semidirect
130. #17988809C22semidirect
131. #17988808C22semidirect
132. #17988807C22semidirect
133. #17988806C22semidirect
134. #17988805C22semidirect
136. #17988803C22semidirect
137. #17988802C22semidirect
138. #17988799C22semidirect
139. #17988796C22semidirect
140. #17988795C22semidirect
142. #17988791C22semidirect
145. #17988752C22semidirect
146. #17988752C22semidirect
147. #17988750C22semidirect
148. #17988748C22semidirect
149. #17988746C22semidirect
150. #17988745C22semidirect
151. #17988744C22semidirect
152. #17988741C22semidirect
156. #17988728C22semidirect
158. #17988727C22semidirect
161. C8×Dic146C22semidirect
162. C8×Dic146C22semidirect
163. #17988681C22semidirect
164. #17988679C22semidirect
165. #17988679C22semidirect
166. #17988674C22semidirect
167. #17988674C22semidirect
169. #17988672C22semidirect
171. C8×D292C22semidirect
172. C8×D292C22semidirect
175. #17988650C22semidirect
176. #17988650C22semidirect
177. #17988639C22semidirect
178. #17988639C22semidirect
179. C2×C4⋊#10596831C22semidirect
180. C4⋊C8×D73C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988582C22semidirect
183. #17988580C22semidirect
184. C2×#14556514C22semidirect
185. #103×D73C22semidirect
189. C2×C4×Q8×C73C22semidirect
190. #483×C73C22semidirect
192. #479×C73C22semidirect
193. #479×C73C22semidirect
194. #464×C73C22semidirect
195. #464×C73C22semidirect
196. #451×C73C22semidirect
198. C4×Q16×C73C22semidirect
199. C4×Q16×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #431×C73C22semidirect
755. C22⋊D73#135semidirect
903. #3108D73semidirect
909. C73#61956semidirect
960. C2×C4×Q8C2×D73semidirect
975. #483C2×D73semidirect
982. #479C2×D73semidirect
983. #479C2×D73semidirect
1018. #464C2×D73semidirect
1019. #464C2×D73semidirect
1039. #451C2×D73semidirect
1054. C4×Q16C2×D73semidirect
1055. C4×Q16C2×D73semidirect
1060. C4×SD16C2×D73semidirect
1061. C4×SD16C2×D73semidirect
1071. #431C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238802
#226235482
#226229282
#226229192
#226226282
#226226172
#226218232
#226218162
#226217942
#226217712
#226217642
#226217422
#226216762
#226216732
#226216652
#226216402
#226216312
#226216202
#226212852
#226212782
#226212672
#226209002
#226208982
#226208862
#226200162
#226199562
#226193852
C2×#179888092
#464×D732
#226190392
C73×#31082
#6195673