Finite Group Databasebeta

← #33978969

Subgroups — #33978969

Order 18688.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623880C211yesmaximal, characteristic
2Q8×#11924028C211yesmaximal, characteristic, complemented
3#22622985C211yesmaximal, characteristic, complemented
4#22622963C211yesmaximal, characteristic, complemented
5#22622746C211yesmaximal, characteristic, complemented
6#22622672C211yesmaximal, characteristic, complemented
7#22622047C211yesmaximal, characteristic, complemented
8#22622040C211yesmaximal, characteristic, complemented
9#22622017C211yesmaximal, characteristic, complemented
10#22622010C211yesmaximal, characteristic, complemented
11#22621805C211yesmaximal, characteristic, complemented
12#22621753C211yesmaximal, characteristic, complemented
13#22621676C211yesmaximal, characteristic, complemented
14#22621620C211yesmaximal, characteristic, complemented
15#22621503C211yesmaximal, characteristic, complemented
16#22621494C211yesmaximal, characteristic, complemented
17#22621443C211yesmaximal, characteristic, complemented
18#22621434C211yesmaximal, characteristic, complemented
19#22621303C211yesmaximal, characteristic, complemented
20#22621268C211yesmaximal, characteristic, complemented
21#22621267C211yesmaximal, characteristic, complemented
22#22620936C211yesmaximal, characteristic, complemented
23#22620932C211yesmaximal, characteristic, complemented
24#22620886C211yesmaximal, characteristic, complemented
25#22620107C211yesmaximal, characteristic, complemented
26#22620016C211yesmaximal, characteristic, complemented
27#22619401C211yesmaximal, characteristic, complemented
28C2×#17988809C211yesmaximal, characteristic, complemented
29#464×D73C211yesmaximal, characteristic, complemented
30#22619058C211yesmaximal, characteristic, complemented
31C73×#3117C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic, complemented
33C2×#14556620C2211yescharacteristic, complemented
34C22×#11924018C2211yescharacteristic, complemented
35C2×Q16×D73C2211yescharacteristic, complemented
36C22×#11924015C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic
38#17989320C2211yescharacteristic
39Q8×Dic146C2211yescharacteristic, complemented
40#17989315—21no—
41#17989315C2211yescharacteristic, complemented
42#17989309C2211yescharacteristic
43#17989300—21no—
44#17989297—21no—
45#17989297C2211yescharacteristic, complemented
46#17989292—21no—
47#17989292—21no—
48#17989292C2211yescharacteristic
49#17989292C2211yescharacteristic, complemented
50#17989261—21no—
51#17989260—21no—
52Q8×D292C2211yescharacteristic, complemented
53Q8×C22⋊D73C2211yescharacteristic
54Q8×C22⋊D73C2211yescharacteristic, complemented
55#17989250C2211yescharacteristic
56#17989249C2211yescharacteristic
57#17989243C2211yescharacteristic
58#17989232C2211yescharacteristic
59#17989229—21no—
60#17989228C2211yescharacteristic
61#17989221C2211yescharacteristic
62#17989203—21no—
63#17989176—21no—
64#17989170—21no—
65#17989144—21no—
66#17989144C2211yescharacteristic, complemented
67#17989141—21no—
68#17989141—21no—
69#17989141C2211yescharacteristic, complemented
70#17989141C2211yescharacteristic, complemented
71#17989136C2211yescharacteristic
72#17989122C2211yescharacteristic
73#17989122C2211yescharacteristic
74C2×#14556579C2211yescharacteristic
75#124×D73C2211yescharacteristic
76#17989059—21no—
77C4×#11924028—21no—
78C4×#11924028C2211yescharacteristic
79C4×Q8×D73C2211yescharacteristic, complemented
80C4×Q8×D73C2211yescharacteristic, complemented
81#17988981C2211yescharacteristic
82#17988981C2211yescharacteristic, complemented
83#17988980C2211yescharacteristic
84#17988978C2211yescharacteristic, complemented
85#17988965C2211yescharacteristic, complemented
86#17988958C2211yescharacteristic
87#17988948C2211yescharacteristic
88#17988947C2211yescharacteristic
89#17988947C2211yescharacteristic, complemented
90#17988945C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988932C2211yescharacteristic
93#17988924C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic
96#17988902C2211yescharacteristic
97#17988891C2211yescharacteristic, complemented
98#17988891C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988876C2211yescharacteristic
101#17988872C2211yescharacteristic, complemented
102#17988871C2211yescharacteristic, complemented
103#17988867C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988844C2211yescharacteristic, complemented
107#17988836C2211yescharacteristic
108#17988834C2211yescharacteristic
109#17988829C2211yescharacteristic, complemented
110#17988827C2211yescharacteristic, complemented
111#17988826C2211yescharacteristic, complemented
112#17988826C2211yescharacteristic, complemented
113#17988819C2211yescharacteristic
114#17988817C2211yescharacteristic
115#17988814C2211yescharacteristic
116#17988814C2211yescharacteristic
117#17988812C2211yescharacteristic
118#17988811C2211yescharacteristic
119#17988810C2211yescharacteristic
120#17988810C2211yescharacteristic
121#17988810C2211yescharacteristic, complemented
122#17988810C2211yescharacteristic, complemented
123#17988809C2211yescharacteristic
124#17988809C2211yescharacteristic
125#17988809C2211yescharacteristic
126#17988809C2211yescharacteristic
127#17988809C2211yescharacteristic, complemented
128#17988809C2211yescharacteristic, complemented
129#17988809C2211yescharacteristic, complemented
130#17988809C2211yescharacteristic, complemented
131#17988808C2211yescharacteristic, complemented
132#17988807C2211yescharacteristic, complemented
133#17988806C2211yescharacteristic, complemented
134#17988806C2211yescharacteristic, complemented
135#17988797C2211yescharacteristic, complemented
136#17988796C2211yescharacteristic, complemented
137#17988796C2211yescharacteristic, complemented
138#17988796C2211yescharacteristic, complemented
139#17988795C2211yescharacteristic, complemented
140#17988792C2211yescharacteristic, complemented
141#17988791C2211yescharacteristic
142#17988791C2211yescharacteristic, complemented
143#17988786C2211yescharacteristic
144#17988785C2211yescharacteristic
145#17988752C2211yescharacteristic, complemented
146#17988750C2211yescharacteristic, complemented
147#17988748C2211yescharacteristic, complemented
148#17988746C2211yescharacteristic, complemented
149#17988745C2211yescharacteristic, complemented
150#17988745C2211yescharacteristic, complemented
151#17988744C2211yescharacteristic, complemented
152#17988744C2211yescharacteristic, complemented
153#17988744C2211yescharacteristic, complemented
154#17988741C2211yescharacteristic, complemented
155#17988740C2211yescharacteristic
156#17988740C2211yescharacteristic
157#17988739C2211yescharacteristic
158#17988736C2211yescharacteristic
159#17988727C2211yescharacteristic
160#17988727C2211yescharacteristic
161#17988715C2211yescharacteristic, complemented
162#17988715C2211yescharacteristic, complemented
163#17988693C2211yescharacteristic, complemented
164#17988691C2211yescharacteristic, complemented
165#17988690C2211yescharacteristic, complemented
166#17988686C2211yescharacteristic, complemented
167#17988681C2211yescharacteristic, complemented
168#17988679C2211yescharacteristic, complemented
169#17988674C2211yescharacteristic
170#17988672C2211yescharacteristic
171#17988660C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic
176#17988650C2211yescharacteristic
177#17988643C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180C2×C4⋊#10596831C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184C2×#14556514C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556511C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#529×C73C2211yescharacteristic
189C2×C4×Q8×C73C2211yescharacteristic, complemented
190#484×C73C2211yescharacteristic, complemented
191#481×C73C2211yescharacteristic
192#479×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#451×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic
198#441×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213#14556623—42no—
214#14556620—42no—
215C2×Dic292C2311yescharacteristic
216C2×Dic292C2311yescharacteristic
217C2×Dic292C2311yescharacteristic
218C2×Dic292C2311yescharacteristic
219C2×#11924018—42no—
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924018C2311yescharacteristic
226Q16×D73—42no—
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924015—42no—
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238SD16×D73—42no—
239C2×#11924011C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C22×#10596831C2311yescharacteristic
242C22×#10596831C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245#14556591—21no—
246#14556591—21no—
247#14556591C2311yescharacteristic
248#14556591C2311yescharacteristic
249#14556590—21no—
250#14556590—21no—
251#14556590—21no—
252#14556590C2311yescharacteristic
253#14556590C2311yescharacteristic
254#14556589—21no—
255#14556589—21no—
256#14556589C2311yescharacteristic
257#14556589C2311yescharacteristic
258#14556589C2311yescharacteristic
259#14556587C2311yescharacteristic
260#14556586—21no—
261#14556586—21no—
262#14556586—21no—
263#14556585—21no—
264#14556583—21no—
265#14556583—21no—
266#14556583—21no—
267#14556581—21no—
268#14556581—21no—
269#14556581—21no—
270#14556581—21no—
271#14556581—21no—
272#14556581—21no—
273#14556580C2311yescharacteristic
274#14556579—21no—
275#14556579—21no—
276#14556579—21no—
277#14556579C2311yescharacteristic
278#14556579C2311yescharacteristic
279#14556579C2311yescharacteristic
280#14556579C2311yescharacteristic
281#14556578C2311yescharacteristic
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556575—21no—
290#14556574—21no—
291#14556573—21no—
292#14556571—21no—
293#14556571—21no—
294#14556571—21no—
295#14556571C2311yescharacteristic
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556571C2311yescharacteristic
299#14556570—21no—
300#14556570—21no—
301#14556570—21no—
302#14556570—21no—
303#14556570—21no—
304#14556570C2311yescharacteristic
305#14556570C2311yescharacteristic
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556569—21no—
310#14556569—21no—
311#14556569—21no—
312#14556569—21no—
313#14556569—21no—
314#14556568—21no—
315#14556568—21no—
316#14556567—21no—
317#14556567—21no—
318#14556567C2311yescharacteristic
319#14556567C2311yescharacteristic
320#14556566—21no—
321#14556566—21no—
322#14556566C2311yescharacteristic
323#14556566C2311yescharacteristic
324#14556565—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556563—21no—
329#14556561—21no—
330#14556561—21no—
331#14556561—21no—
332#14556559—21no—
333Q8×Dic73C2311yescharacteristic
334Q8×Dic73C2311yescharacteristic
335C4×Dic146—21no—
336C4×Dic146—21no—
337C4×Dic146—21no—
338C4×Dic146—21no—
339C4×Dic146—21no—
340C4×Dic146—21no—
341C4×Dic146—21no—
342C4×Dic146D411yescharacteristic
343C4×Dic146C2311yescharacteristic
344C4×Dic146C2311yescharacteristic
345C4×Dic146C2311yescharacteristic
346#14556556—21no—
347#14556556—21no—
348#14556556C2311yescharacteristic
349#14556556C2311yescharacteristic
350#14556556C2311yescharacteristic
351#14556556C2311yescharacteristic
352C4×D292—21no—
353C4×D292—21no—
354C4×D292—21no—
355C4×D292D411yescharacteristic
356C4×D292C2311yescharacteristic
357D4×Dic73—21no—
358#14556553—21no—
359#14556553—21no—
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73D411yescharacteristic
368C4×C22⋊D73D411yescharacteristic
369C4×C22⋊D73C2311yescharacteristic
370C4×C22⋊D73C2311yescharacteristic
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556550—21no—
375#14556550D411yescharacteristic
376#14556549—21no—
377#14556549—21no—
378#14556548—21no—
379#14556548—21no—
380#14556548—21no—
381#14556548D411yescharacteristic
382#14556548D411yescharacteristic
383C4⋊C4×D73—21no—
384C4⋊C4×D73—21no—
385C4⋊C4×D73C2311yescharacteristic
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#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
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
482#97×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924028—24no—
489#11924027—41no—
490#11924027—41no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
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
504C2×Dic146C2411yescharacteristic
505Q8×D73—22no—
506Q8×D73—22no—
507Q8×D73—41no—
508Q8×D73—41no—
509Q8×D73—41no—
510Q8×D73—41no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—41no—
516C2×D292—41no—
517C2×D292C2×D411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73C2×D411yescharacteristic
525C2×C22⋊D73C2×D411yescharacteristic
526D4×D73—41no—
527D4×D73—41no—
528D4×D73—44no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2×D411yescharacteristic
543C2×C4×D73C2411yescharacteristic
544C2×C4×D73C2411yescharacteristic
545Dic292—41no—
546Dic292—41no—
547Dic292—41no—
548Dic292—41no—
549#11924018—22no—
550#11924018—22no—
551#11924018—41no—
552#11924018—41no—
553#11924018—41no—
554#11924018—41no—
555#11924017—41no—
556#11924017—41no—
557#11924017—41no—
558#11924017—41no—
559#11924016—41no—
560#11924016—41no—
561#11924015—22no—
562#11924015—22no—
563#11924015—41no—
564#11924015—41no—
565#11924011—41no—
566#11924011—41no—
567C2×#10596831—41no—
568C2×#10596831—41no—
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C8×D73—41no—
574C8×D73—41no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611#11924007C2×D411yescharacteristic
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C2×Q8×C73—21no—
657C2×Q8×C73—22no—
658C2×Q8×C73—41no—
659C2×Q8×C73C2411yescharacteristic
660C2×Q8×C73C2411yescharacteristic
661C2×Q8×C73C2411yescharacteristic
662C2×D4×C73—21no—
663C2×D4×C73C2411yescharacteristic
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73C2×D411yescharacteristic
668C22×C4×C73C2×D411yescharacteristic
669C22×C4×C73C2411yescharacteristic
670Q16×C73—22no—
671Q16×C73—41no—
672SD16×C73—22no—
673SD16×C73—41no—
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C4⋊C4×C73—21no—
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×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C42×C73—21no—
697C42×C73—21no—
698C42×C73—21no—
699C42×C73—21no—
700C42×C73—21no—
701C42×C73C2×D411yescharacteristic
702C42×C73C2×D411yescharacteristic
703C42×C73C2411yescharacteristic
704C42×C73C2411yescharacteristic
705C23×C73—21no—
706C23×C73C22×D411yescharacteristic
707C22×D73—21no—
708C22×D73—21no—
709C22×D73—42no—
710C22×D73—42no—
711C22×D73—81no—
712C22×D73—81no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73C22×D411yescharacteristic
716C22×D73C22×D411yescharacteristic
717Q8×C73—21no—
718Q8×C73—21no—
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—42no—
723Q8×C73H(5,𝔽2)12yes—
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—42no—
727C2×C4×C73—22no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
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—41no—
738C2×C4×C73—42no—
739C2×C4×C73—81no—
740C2×C4×C73—81no—
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C2511yescharacteristic
747C22⋊D73—22no—
748C22⋊D73—42no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73#13714yescomplemented
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—81no—
760C2×Dic73—81no—
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767D292—22no—
768D292—21no—
769D292—21no—
770D292—21no—
771D292—21no—
772D292—42no—
773D292—81no—
774D292—81no—
775D292—81no—
776C4×D73—22no—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—21no—
780C4×D73—21no—
781C4×D73—22no—
782C4×D73—41no—
783C4×D73—41no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—81no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792Dic146—22no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—21no—
797Dic146—21no—
798Dic146—21no—
799Dic146—21no—
800Dic146—21no—
801Dic146—42no—
802Dic146—42no—
803Dic146—81no—
804Dic146—81no—
805Dic146—81no—
806Dic146—81no—
807Dic146—81no—
808C8×C73—21no—
809C8×C73—21no—
810C8×C73—21no—
811C8×C73—21no—
812#10596831—21no—
813#10596831—21no—
814#10596831—21no—
815#10596831—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73C2×#13712yes—
822C22×C73C23×D411yescharacteristic
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—162no—
835C2×D73—162no—
836C2×D73C2×#13712yes—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—22no—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—21no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73C2×H(5,𝔽2)11yescharacteristic
850C4×C73#58511yescharacteristic
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73C2×#13712yes—
863#61991—731nomaximal, Sylow
864C2×C73—22no—
865C2×C73—81no—
866C2×C73#348811yescharacteristic
867C2×C73C22×#13711yescharacteristic
868C2×C73#358411yescharacteristic
869D73—22no—
870D73—41no—
871D73—81no—
872D73—81no—
873#3514—731no—
874Q8×#41—731no—
875#3400—731no—
876#3398—731no—
877#3375—731no—
878#3369—731no—
879#3316—731no—
880#3316—731no—
881#3314—731no—
882#3314—731no—
883#3299—731no—
884#3295—731no—
885D4×Q16—731no—
886D4×SD16—731no—
887#3270—731no—
888#3270—731no—
889#3266—731no—
890#3266—731no—
891#3252—731no—
892#3248—731no—
893#3248—731no—
894#3215—731no—
895#3215—731no—
896#3210—731no—
897#3117—731no—
898#3117D7311yescharacteristic, complemented
899#3108—731no—
900#3037—731no—
901C2×#464—731no—
902C2×#464—731no—
903#2990—731no—
904C73#6199111yescharacteristic, complemented, Sylow
905C2×#137—731no—
906C2×#137—731no—
907C22×Q16—731no—
908C22×Q16—731no—
909C22×SD16—731no—
910C22×SD16—731no—
911#559—731no—
912Q82—731no—
913#557—731no—
914#557—1461no—
915#556—731no—
916#555—1461no—
917#554—731no—
918#554—731no—
919#554—731no—
920#554—1461no—
921#554—1461no—
922#554—1461no—
923#551—1461no—
924#551—1461no—
925D4×Q8—731no—
926D4×Q8—731no—
927D4×Q8—731no—
928D4×Q8—731no—
929#548—731no—
930#548—731no—
931#546—731no—
932#546—731no—
933#546—1461no—
934D42—731no—
935#542—1461no—
936#538—1461no—
937#538—1461no—
938#533—731no—
939#533—731no—
940#533—731no—
941#533—1461no—
942#533—1461no—
943#533—1461no—
944#532—731no—
945#529—731no—
946#529—731no—
947#529C2×D7311yescharacteristic
948C2×#124—731no—
949C2×#124—731no—
950#518—1461no—
951C4×#41—731no—
952C4×#41—1461no—
953C2×C4×Q8—731no—
954C2×C4×Q8—731no—
955C2×C4×Q8C2×D7311yescharacteristic, complemented
956#497—731no—
957#497—731no—
958#497—731no—
959#497—731no—
960#494—731no—
961#492—731no—
962#489—731no—
963#489—731no—
964#489—731no—
965#489—731no—
966#487—731no—
967#486—731no—
968#484—731no—
969#484C2×D7311yescharacteristic, complemented
970#483—731no—
971#481—731no—
972#481C2×D7311yescharacteristic
973#480—731no—
974#479—731no—
975#479—731no—
976#479C2×D7311yescharacteristic, complemented
977#479C2×D7311yescharacteristic, complemented
978#477—731no—
979#476—731no—
980#475—731no—
981#475—731no—
982#474—731no—
983#474—731no—
984#470—731no—
985#470—731no—
986#468—731no—
987#468—731no—
988#467—731no—
989#467—731no—
990#467—731no—
991#467—731no—
992#465—731no—
993#465—731no—
994#465—731no—
995#465—731no—
996#464—731no—
997#464—731no—
998#464—731no—
999#464—731no—
1000#464—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#464C2×D7311yescharacteristic, complemented
1015#464C2×D7311yescharacteristic, complemented
1016#462—731no—
1017#462—731no—
1018#462—731no—
1019#462—731no—
1020#462—731no—
1021#461—731no—
1022#461—731no—
1023#461—731no—
1024#460—731no—
1025#460—731no—
1026#452—731no—
1027#452—731no—
1028#452—731no—
1029#452—731no—
1030#451—731no—
1031#451—731no—
1032#451—731no—
1033#451—731no—
1034#451—731no—
1035#451—731no—
1036#451C2×D7311yescharacteristic, complemented
1037#450—731no—
1038#450—731no—
1039#450—731no—
1040#450—731no—
1041#448—731no—
1042#448—731no—
1043#448C2×D7311yescharacteristic
1044#446—731no—
1045#446—731no—
1046#441—731no—
1047#441—731no—
1048#441C2×D7311yescharacteristic, complemented
1049#441C2×D7311yescharacteristic, complemented
1050#440—731no—
1051#440—731no—
1052#440C2×D7311yescharacteristic, complemented
1053#440C2×D7311yescharacteristic, complemented
1054C4×Q16—731no—
1055C4×Q16—731no—
1056C4×SD16—731no—
1057C4×SD16—731no—
1058#435—731no—
1059#435—731no—
1060#435—731no—
1061#435—731no—
1062C8×D4—731no—
1063C8×D4—731no—
1064#432—731no—
1065#432C2×D7311yescharacteristic, complemented
1066#431—731no—
1067#423—731no—
1068C2×C4⋊C8—731no—
1069C2×C4⋊C8—731no—
1070#417—731no—
1071#417—731no—
1072C2×#103—731no—
1073C2×#103—731no—
1074C2×#102—731no—
1075C2×#102—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C22×Q8—731no—
1080C22×Q8—731no—
1081C22×Q8—731no—
1082C22×Q8—731no—
1083C22×Q8C22×D7311yescharacteristic
1084C22×D4—731no—
1085C22×D4—731no—
1086C22×D4—1461no—
1087#137—2922no—
1088#137—2922no—
1089C2×Q16—2922no—
1090C2×Q16—2922no—
1091C2×Q16—731no—
1092C2×Q16—731no—
1093C2×Q16—731no—
1094C2×Q16—731no—
1095C2×Q16—731no—
1096C2×Q16—731no—
1097C2×Q16—731no—
1098C2×Q16—731no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16C22×D7311yescharacteristic
1102C2×Q16C22×D7311yescharacteristic
1103C2×SD16—2922no—
1104C2×SD16—2922no—
1105C2×SD16—731no—
1106C2×SD16—731no—
1107C2×SD16—731no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16C22×D7311yescharacteristic
1116C2×SD16C22×D7311yescharacteristic
1117C2×M16—731no—
1118C2×M16—731no—
1119C22×C8—731no—
1120C22×C8—731no—
1121C22×C8—731no—
1122C22×C8—731no—
1123C4⋊Q8—731no—
1124C4⋊Q8—731no—
1125C4⋊Q8—731no—
1126C4⋊Q8—731no—
1127C4⋊Q8—731no—
1128C4⋊Q8—731no—
1129C4⋊Q8—731no—
1130C4⋊Q8—1461no—
1131C4⋊Q8—1461no—
1132C4⋊Q8—1461no—
1133C4⋊Q8—1461no—
1134C4⋊Q8—1461no—
1135C4⋊Q8—1461no—
1136C4⋊Q8—1461no—
1137#127—731no—
1138#126—21no—
1139#126—1461no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#125—1461no—
1144#125—1461no—
1145#125—1461no—
1146#125—1461no—
1147#125—1461no—
1148#125—1461no—
1149#125—1461no—
1150#125—1461no—
1151#125—1461no—
1152#125C22×D7311yescharacteristic
1153#124—731no—
1154#124—731no—
1155#124—731no—
1156#124—731no—
1157#124—731no—
1158#124—731no—
1159#124—1461no—
1160#124—1461no—
1161#124—1461no—
1162#124—1461no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124C22×D7311yescharacteristic
1167#123—21no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174C22⋊Q8—731no—
1175C22⋊Q8—731no—
1176C22⋊Q8—731no—
1177C22⋊Q8—731no—
1178C22⋊Q8—731no—
1179C22⋊Q8—731no—
1180C22⋊Q8—731no—
1181C22⋊Q8—731no—
1182C22⋊Q8—1461no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
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⋊Q8C22×D7311yescharacteristic
1203#121—731no—
1204#121—731no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121C22×D7311yescharacteristic
1213#120—1461no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217C4×Q8—21no—
1218C4×Q8—21no—
1219C4×Q8—731no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—1461no—
1230C4×Q8—1461no—
1231C4×Q8—1461no—
1232C4×Q8—1461no—
1233C4×Q8—1461no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8C22×D7311yescharacteristic
1239C4×Q8C22×D7311yescharacteristic
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×Q8C22×D7311yescharacteristic
1243C4×D4—21no—
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—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×D4—1461no—
1265C4×D4—1461no—
1266C4×D4C22×D7311yescharacteristic
1267#117—21no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277C2×C4⋊C4—21no—
1278C2×C4⋊C4—731no—
1279C2×C4⋊C4—731no—
1280C2×C4⋊C4—1461no—
1281C2×C4⋊C4—1461no—
1282C2×C4⋊C4C22×D7311yescharacteristic
1283C2×C22⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—21no—
1290C2×C42—731no—
1291C2×C42—731no—
1292C2×C42—1461no—
1293C2×C42—1461no—
1294C2×C42C22×D7311yescharacteristic
1295#107—731no—
1296#107—731no—
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106C22×D7311yescharacteristic
1302#106C22×D7311yescharacteristic
1303C4⋊C8—731no—
1304C4⋊C8—731no—
1305C4⋊C8—731no—
1306C4⋊C8—731no—
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8C22×D7311yescharacteristic
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
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#103C22×D7311yescharacteristic
1328#103C22×D7311yescharacteristic
1329#103C22×D7311yescharacteristic
1330#103C22×D7311yescharacteristic
1331#103C22×D7311yescharacteristic
1332#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8C22×D7311yescharacteristic
1350C22⋊C8C22×D7311yescharacteristic
1351#97—731no—
1352#97—731no—
1353#97C22×D7311yescharacteristic
1354#97C22×D7311yescharacteristic
1355C4×C8—731no—
1356C4×C8—731no—
1357C24—1461no—
1358C24—1461no—
1359#41—2921no—
1360#41—2921no—
1361#41—2921no—
1362#41—2921no—
1363#41—1464no—
1364C2×Q8—21no—
1365C2×Q8—22no—
1366C2×Q8—41no—
1367C2×Q8—2921no—
1368C2×Q8—2921no—
1369C2×Q8—2921no—
1370C2×Q8—2921no—
1371C2×Q8—2921no—
1372C2×Q8—2921no—
1373C2×Q8—731no—
1374C2×Q8—731no—
1375C2×Q8—731no—
1376C2×Q8—731no—
1377C2×Q8—731no—
1378C2×Q8—1461no—
1379C2×Q8—1461no—
1380C2×Q8—1461no—
1381C2×Q8—1461no—
1382C2×Q8—1461no—
1383C2×Q8—1462no—
1384C2×Q8—1462no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8C23×D7311yescharacteristic
1388C2×Q8C23×D7311yescharacteristic
1389C2×Q8C23×D7311yescharacteristic
1390C2×D4—21no—
1391C2×D4—2921no—
1392C2×D4—2921no—
1393C2×D4—2924no—
1394C2×D4—2921no—
1395C2×D4—2921no—
1396C2×D4—731no—
1397C2×D4—731no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4C23×D7311yescharacteristic
1410C22×C4—21no—
1411C22×C4—21no—
1412C22×C4—21no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—731no—
1417C22×C4—731no—
1418C22×C4—731no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4D4×D7311yescharacteristic
1430C22×C4D4×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—22no—
1433Q16—41no—
1434Q16—2921no—
1435Q16—2921no—
1436Q16—2921no—
1437Q16—2921no—
1438Q16—2921no—
1439Q16—2921no—
1440Q16—2921no—
1441Q16—2921no—
1442Q16—1462no—
1443Q16—1462no—
1444SD16—22no—
1445SD16—41no—
1446SD16—2921no—
1447SD16—2921no—
1448SD16—2921no—
1449SD16—2921no—
1450SD16—2921no—
1451SD16—2921no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—1462no—
1455SD16—1462no—
1456M16—2921no—
1457M16—2921no—
1458C2×C8—2921no—
1459C2×C8—2921no—
1460C2×C8—2921no—
1461C2×C8—2921no—
1462C2×C8—731no—
1463C2×C8—731no—
1464C2×C8—731no—
1465C2×C8—731no—
1466C2×C8C23×D7311yescharacteristic
1467C2×C8C23×D7311yescharacteristic
1468C2×C8C23×D7311yescharacteristic
1469C2×C8C23×D7311yescharacteristic
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊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—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—21no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—731no—
1564C42—731no—
1565C42—731no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42D4×D7311yescharacteristic
1575C42D4×D7311yescharacteristic
1576C42C23×D7311yescharacteristic
1577C42C23×D7311yescharacteristic
1578C23—21no—
1579C23—2922no—
1580C23—2922no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—5841no—
1585C23—731no—
1586C23—731no—
1587C23—1461no—
1588C23—1461no—
1589C23C2×D4×D7311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—21no—
1593Q8—21no—
1594Q8—21no—
1595Q8—42no—
1596Q8—2922no—
1597Q8—2922no—
1598Q8—5841no—
1599Q8—5841no—
1600Q8—5841no—
1601Q8—5841no—
1602Q8—5841no—
1603Q8—1462no—
1604Q8—1461no—
1605Q8—1461no—
1606Q8—1461no—
1607Q8—1461no—
1608Q8—1461no—
1609Q8—1461no—
1610Q8—1461no—
1611Q8—1461no—
1612Q8#1455663712yes—
1613D4—21no—
1614D4—21no—
1615D4—42no—
1616D4—2922no—
1617D4—2922no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—734no—
1625D4—1462no—
1626D4—1462no—
1627D4—1461no—
1628D4—1461no—
1629D4—1461no—
1630D4—1461no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—41no—
1642C2×C4—42no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—2922no—
1646C2×C4—2922no—
1647C2×C4—2921no—
1648C2×C4—2921no—
1649C2×C4—2922no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—731no—
1658C2×C4—731no—
1659C2×C4—731no—
1660C2×C4—731no—
1661C2×C4—731no—
1662C2×C4—731no—
1663C2×C4—1462no—
1664C2×C4—1462no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4—1461no—
1668C2×C4—1461no—
1669C2×C4—1461no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4C2×D4×D7311yescharacteristic
1676C2×C4C2×D4×D7311yescharacteristic
1677C2×C4C2×D4×D7311yescharacteristic
1678C2×C4C2×D4×D7311yescharacteristic
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C24×D7311yescharacteristic
1681C8—21no—
1682C8—21no—
1683C8—21no—
1684C8—21no—
1685C8—1461no—
1686C8—1461no—
1687C8—1461no—
1688C8—1461no—
1689C22—21no—
1690C22—21no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—2921no—
1700C22—732no—
1701C22—11682no—
1702C22—11682no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22—1461no—
1707C22—1461no—
1708C22#137×D7312yes—
1709C22C22×D4×D7311yescharacteristic
1710C4—21no—
1711C4—22no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—2921no—
1723C4—2921no—
1724C4—2921no—
1725C4—2921no—
1726C4—2921no—
1727C4—2921no—
1728C4—732no—
1729C4—1461no—
1730C4—1461no—
1731C4—1461no—
1732C4—1461no—
1733C4—1461no—
1734C4C2×#1455663711yescharacteristic
1735C4#1798942311yescharacteristic
1736C2—22no—
1737C2—81no—
1738C2—2921no—
1739C2—5841no—
1740C2—5841no—
1741C2—1462no—
1742C2#2262359211yescharacteristic
1743C2C2×#137×D7311yescharacteristic
1744C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3117C2
socleC22×C73C23×D4
prime radical#22623880C2
hypercenter#3117D73
hypocenterC73#61991
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3117

Complements

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

NH ≅ G/Ntype
2. Q8×#11924028C2semidirect
3. #22622985C2semidirect
4. #22622963C2semidirect
5. #22622746C2semidirect
6. #22622672C2semidirect
7. #22622047C2semidirect
8. #22622040C2semidirect
9. #22622017C2semidirect
10. #22622010C2semidirect
11. #22621805C2semidirect
12. #22621753C2semidirect
13. #22621676C2semidirect
14. #22621620C2semidirect
15. #22621503C2semidirect
16. #22621494C2semidirect
17. #22621443C2semidirect
18. #22621434C2semidirect
19. #22621303C2semidirect
20. #22621268C2semidirect
21. #22621267C2semidirect
22. #22620936C2semidirect
23. #22620932C2semidirect
24. #22620886C2semidirect
25. #22620107C2semidirect
26. #22620016C2semidirect
27. #22619401C2semidirect
28. C2×#17988809C2semidirect
29. #464×D73C2semidirect
30. #22619058C2semidirect
31. C73×#3117C2semidirect
32. C2×#14556623C22semidirect
33. C2×#14556620C22semidirect
34. C22×#11924018C22semidirect
35. C2×Q16×D73C22semidirect
39. Q8×Dic146C22semidirect
41. #17989315C22semidirect
45. #17989297C22semidirect
49. #17989292C22semidirect
52. Q8×D292C22semidirect
54. Q8×C22⋊D73C22semidirect
66. #17989144C22semidirect
69. #17989141C22semidirect
70. #17989141C22semidirect
79. C4×Q8×D73C22semidirect
80. C4×Q8×D73C22semidirect
82. #17988981C22semidirect
84. #17988978C22semidirect
85. #17988965C22semidirect
89. #17988947C22semidirect
90. #17988945C22semidirect
91. #17988936C22semidirect
93. #17988924C22semidirect
94. #17988919C22semidirect
97. #17988891C22semidirect
98. #17988891C22semidirect
99. #17988881C22semidirect
101. #17988872C22semidirect
102. #17988871C22semidirect
103. #17988867C22semidirect
104. #17988866C22semidirect
105. #17988846C22semidirect
106. #17988844C22semidirect
109. #17988829C22semidirect
110. #17988827C22semidirect
111. #17988826C22semidirect
112. #17988826C22semidirect
121. #17988810C22semidirect
122. #17988810C22semidirect
127. #17988809C22semidirect
128. #17988809C22semidirect
129. #17988809C22semidirect
130. #17988809C22semidirect
131. #17988808C22semidirect
132. #17988807C22semidirect
133. #17988806C22semidirect
134. #17988806C22semidirect
135. #17988797C22semidirect
136. #17988796C22semidirect
137. #17988796C22semidirect
138. #17988796C22semidirect
139. #17988795C22semidirect
140. #17988792C22semidirect
142. #17988791C22semidirect
145. #17988752C22semidirect
146. #17988750C22semidirect
147. #17988748C22semidirect
148. #17988746C22semidirect
149. #17988745C22semidirect
150. #17988745C22semidirect
151. #17988744C22semidirect
152. #17988744C22semidirect
153. #17988744C22semidirect
154. #17988741C22semidirect
161. #17988715C22semidirect
162. #17988715C22semidirect
163. #17988693C22semidirect
164. #17988691C22semidirect
165. #17988690C22semidirect
166. #17988686C22semidirect
167. #17988681C22semidirect
168. #17988679C22semidirect
171. #17988660C22semidirect
172. #17988660C22semidirect
173. #17988655C22semidirect
174. #17988655C22semidirect
177. #17988643C22semidirect
178. #17988639C22semidirect
179. #17988609C22semidirect
180. C2×C4⋊#10596831C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988587C22semidirect
183. #17988585C22semidirect
184. C2×#14556514C22semidirect
185. #103×D73C22semidirect
189. C2×C4×Q8×C73C22semidirect
190. #484×C73C22semidirect
192. #479×C73C22semidirect
193. #479×C73C22semidirect
194. #464×C73C22semidirect
195. #464×C73C22semidirect
196. #451×C73C22semidirect
198. #441×C73C22semidirect
199. #441×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
752. C22⋊D73#137semidirect
898. #3117D73semidirect
904. C73#61991semidirect
955. C2×C4×Q8C2×D73semidirect
969. #484C2×D73semidirect
976. #479C2×D73semidirect
977. #479C2×D73semidirect
1014. #464C2×D73semidirect
1015. #464C2×D73semidirect
1036. #451C2×D73semidirect
1048. #441C2×D73semidirect
1049. #441C2×D73semidirect
1052. #440C2×D73semidirect
1053. #440C2×D73semidirect
1065. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238802
Q8×#119240282
#226229852
#226229632
#226227462
#226226722
#226220472
#226220402
#226220172
#226220102
#226218052
#226217532
#226216762
#226216202
#226215032
#226214942
#226214432
#226214342
#226213032
#226212682
#226212672
#226209362
#226209322
#226208862
#226201072
#226200162
#226194012
C2×#179888092
#464×D732
#226190582
C73×#31172
#6199173