Finite Group Databasebeta

← #33967943

Subgroups — #33967943

Order 18688.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623537C211yesmaximal, characteristic
2#22623509C211yesmaximal, characteristic, complemented
3#22622981C211yesmaximal, characteristic, complemented
4#22622838C211yesmaximal, characteristic, complemented
5#22622742C211yesmaximal, characteristic, complemented
6#22622709C211yesmaximal, characteristic, complemented
7#22622422C211yesmaximal, characteristic, complemented
8#22622415C211yesmaximal, characteristic, complemented
9#22622320C211yesmaximal, characteristic, complemented
10#22622108C211yesmaximal, characteristic, complemented
11#22622101C211yesmaximal, characteristic, complemented
12#22622018C211yesmaximal, characteristic, complemented
13#22622011C211yesmaximal, characteristic, complemented
14#22621802C211yesmaximal, characteristic, complemented
15#22621750C211yesmaximal, characteristic, complemented
16#22621624C211yesmaximal, characteristic, complemented
17#22621440C211yesmaximal, characteristic, complemented
18#22621438C211yesmaximal, characteristic, complemented
19#22620646C211yesmaximal, characteristic, complemented
20#22620638C211yesmaximal, characteristic, complemented
21#22620106C211yesmaximal, characteristic, complemented
22#22620098C211yesmaximal, characteristic, complemented
23#22620091C211yesmaximal, characteristic, complemented
24#22620051C211yesmaximal, characteristic, complemented
25#22620028C211yesmaximal, characteristic, complemented
26#22620026C211yesmaximal, characteristic, complemented
27#22618942C211yesmaximal, characteristic, complemented
28#22618747C211yesmaximal, characteristic, complemented
29C2×#17988689C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3181C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic
33C22×#11924017C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989319C2211yescharacteristic
36#17989317C2211yescharacteristic, complemented
37#17989314—21no—
38#17989312C2211yescharacteristic, complemented
39#17989298C2211yescharacteristic, complemented
40#17989295C2211yescharacteristic
41#17989295C2211yescharacteristic
42#17989295C2211yescharacteristic, complemented
43#17989293—21no—
44#17989293C2211yescharacteristic
45#17989291—21no—
46#17989291—21no—
47#17989290C2211yescharacteristic
48#17989289C2211yescharacteristic
49#17989288—21no—
50#17989262—21no—
51#17989260—21no—
52#17989252C2211yescharacteristic, complemented
53#17989250C2211yescharacteristic
54#17989250C2211yescharacteristic, complemented
55#17989230C2211yescharacteristic
56#17989229—21no—
57#17989228C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989141—21no—
60#17989141—21no—
61#17989141C2211yescharacteristic, complemented
62#17989141C2211yescharacteristic, complemented
63#17989140—21no—
64#17989134C2211yescharacteristic
65#17989124C2211yescharacteristic
66#17989115—21no—
67#17989099—21no—
68#17989096—21no—
69C4×#11924029C2211yescharacteristic
70C4×#11924028C2211yescharacteristic
71#17989055—21no—
72C2×C4×Dic146C2211yescharacteristic, complemented
73C4×Q8×D73C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×C4×D292C2211yescharacteristic
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988980C2211yescharacteristic, complemented
81#17988958C2211yescharacteristic
82#17988954C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988936C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic
86#17988931C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988920C2211yescharacteristic, complemented
93#17988920C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic
95#17988903C2211yescharacteristic
96#17988902C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988897C2211yescharacteristic, complemented
99#17988896C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988881C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic
106#17988866C2211yescharacteristic
107#17988865C2211yescharacteristic, complemented
108#17988864C2211yescharacteristic
109#17988864C2211yescharacteristic, complemented
110#17988836C2211yescharacteristic, complemented
111#17988834C2211yescharacteristic, complemented
112#17988832C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988827C2211yescharacteristic, complemented
115#17988825C2211yescharacteristic, complemented
116#17988819C2211yescharacteristic
117#17988817C2211yescharacteristic
118#17988812C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988795C2211yescharacteristic, complemented
123#17988791C2211yescharacteristic
124#17988791C2211yescharacteristic
125#17988790C2211yescharacteristic, complemented
126#17988789C2211yescharacteristic
127#17988789C2211yescharacteristic, complemented
128#17988786C2211yescharacteristic
129#17988785C2211yescharacteristic
130#17988752C2211yescharacteristic
131#17988748C2211yescharacteristic
132#17988742C2211yescharacteristic, complemented
133#17988741C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic
135#17988737C2211yescharacteristic
136#17988737C2211yescharacteristic
137#17988736C2211yescharacteristic
138#17988727C2211yescharacteristic
139#17988727C2211yescharacteristic, complemented
140#17988725C2211yescharacteristic
141#17988724C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988715C2211yescharacteristic, complemented
144#17988692C2211yescharacteristic, complemented
145#17988692C2211yescharacteristic, complemented
146#17988690C2211yescharacteristic
147#17988689C2211yescharacteristic
148#17988689C2211yescharacteristic
149#17988689C2211yescharacteristic
150#17988689C2211yescharacteristic
151#17988689C2211yescharacteristic, complemented
152#17988689C2211yescharacteristic, complemented
153#17988689C2211yescharacteristic, complemented
154#17988689C2211yescharacteristic, complemented
155#17988688C2211yescharacteristic, complemented
156#17988687C2211yescharacteristic, complemented
157#17988687C2211yescharacteristic, complemented
158#17988686C2211yescharacteristic
159#17988685C2211yescharacteristic
160#17988685C2211yescharacteristic
161#17988685C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164Q16×Dic73C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic
167#17988672C2211yescharacteristic
168#17988660C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic
173C8×C22⋊D73C2211yescharacteristic
174#17988644C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988626C2211yescharacteristic, complemented
178C2×#14556525C2211yescharacteristic, complemented
179#107×D73C2211yescharacteristic, complemented
180#17988594C2211yescharacteristic, complemented
181#17988587C2211yescharacteristic
182C2×#14556516C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic
185#102×D73C2211yescharacteristic
186#17988539C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#533×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#497×C73C2211yescharacteristic, complemented
192#491×C73C2211yescharacteristic, complemented
193#489×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic, complemented
195#467×C73C2211yescharacteristic, complemented
196#465×C73C2211yescharacteristic
197#465×C73C2211yescharacteristic
198#441×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028D411yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213C22×C4×D73—21no—
214#14556623—24no—
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017—24no—
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228SD16×D73—24no—
229C2×#11924011C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556590—21no—
234#14556590—21no—
235#14556590—21no—
236#14556590—21no—
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556589—21no—
241#14556589—21no—
242#14556589C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556586—21no—
246#14556586—21no—
247#14556584—21no—
248#14556582—21no—
249#14556582—21no—
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556580C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556575—21no—
265#14556575—21no—
266#14556573—21no—
267#14556573—21no—
268#14556571—21no—
269#14556571—21no—
270#14556571—21no—
271#14556571—21no—
272#14556571C2311yescharacteristic
273#14556571C2311yescharacteristic
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556568—21no—
283#14556568—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556567—21no—
288#14556567—21no—
289#14556567C2311yescharacteristic
290#14556567C2311yescharacteristic
291#14556567C2311yescharacteristic
292#14556566—21no—
293#14556566—21no—
294#14556566C2311yescharacteristic
295#14556566C2311yescharacteristic
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556563—21no—
300#14556562C2311yescharacteristic
301#14556561—21no—
302#14556561—21no—
303#14556561—21no—
304#14556559—21no—
305Q8×Dic73C2311yescharacteristic
306Q8×Dic73C2311yescharacteristic
307Q8×Dic73C2311yescharacteristic
308C4×Dic146—21no—
309C4×Dic146—21no—
310C4×Dic146—21no—
311C4×Dic146—21no—
312C4×Dic146—21no—
313C4×Dic146—21no—
314C4×Dic146D411yescharacteristic
315C4×Dic146C2311yescharacteristic
316C4×Dic146C2311yescharacteristic
317C4×Dic146C2311yescharacteristic
318C4×Dic146C2311yescharacteristic
319C4×Dic146C2311yescharacteristic
320#14556556—21no—
321#14556556—21no—
322#14556556—21no—
323#14556556—21no—
324#14556556C2311yescharacteristic
325#14556556C2311yescharacteristic
326C4×D292—21no—
327C4×D292—21no—
328C4×D292—21no—
329C4×D292—21no—
330C4×D292D411yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336D4×Dic73—21no—
337D4×Dic73C2311yescharacteristic
338#14556553—21no—
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73D411yescharacteristic
347C4×C22⋊D73D411yescharacteristic
348C4×C22⋊D73C2311yescharacteristic
349C4×C22⋊D73C2311yescharacteristic
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556550D411yescharacteristic
358#14556549—21no—
359#14556549C2311yescharacteristic
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548D411yescharacteristic
364#14556548D411yescharacteristic
365C2×C4⋊Dic73C2311yescharacteristic
366C2×C4⋊Dic73C2311yescharacteristic
367C2×#11924007—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73—21no—
371C4⋊C4×D73C2311yescharacteristic
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C42×D73—21no—
380C42×D73—21no—
381C42×D73—21no—
382C42×D73C2311yescharacteristic
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×Q16×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C22×C8×C73C2311yescharacteristic
443C22×C8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#126×C73—21no—
447#125×C73—21no—
448#125×C73C2311yescharacteristic
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454C22⋊Q8×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456C4×Q8×C73—21no—
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×Q8×C73C2311yescharacteristic
460C4×D4×C73—21no—
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463#117×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—24no—
486#11924028—82no—
487C2×Dic146—22no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—41no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498Q8×D73—22no—
499Q8×D73—22no—
500Q8×D73—41no—
501Q8×D73—41no—
502C2×D292—22no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—41no—
508C2×D292C2×D411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73C2×D411yescharacteristic
516C2×C22⋊D73C2×D411yescharacteristic
517D4×D73—22no—
518D4×D73—41no—
519D4×D73—44no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—82no—
537C2×C4×D73—82no—
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543C2×C4×D73C2411yescharacteristic
544#11924018—22no—
545#11924018—41no—
546#11924017—22no—
547#11924017—22no—
548#11924017—22no—
549#11924017#4114yescomplemented
550#11924016—22no—
551#11924016—41no—
552#11924015—22no—
553#11924015—22no—
554#11924015—41no—
555#11924015—41no—
556#11924011—22no—
557#11924011—41no—
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C8×D73—22no—
563C8×D73—41no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2×D411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#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#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73C2×D411yescharacteristic
605C22⋊Dic73C2×D411yescharacteristic
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C2×Q8×C73—21no—
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—21no—
647C2×D4×C73C2411yescharacteristic
648C22×C4×C73—21no—
649C22×C4×C73C2×D411yescharacteristic
650C22×C4×C73C2×D411yescharacteristic
651C22×C4×C73C2411yescharacteristic
652Q16×C73—22no—
653Q16×C73—41no—
654SD16×C73—22no—
655SD16×C73—41no—
656C2×C8×C73—22no—
657C2×C8×C73—41no—
658C2×C8×C73C2411yescharacteristic
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C42×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73C2×D411yescharacteristic
688C42×C73C2×D411yescharacteristic
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C23×C73—21no—
692C23×C73C22×D411yescharacteristic
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—42no—
696C22×D73—42no—
697C22×D73—42no—
698C22×D73—42no—
699C22×D73—81no—
700C22×D73—81no—
701C22×D73C22×D411yescharacteristic
702C22×D73C22×D411yescharacteristic
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—81no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—42no—
713C2×C4×C73—22no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—41no—
724C2×C4×C73—42no—
725C2×C4×C73C22×D411yescharacteristic
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C2511yescharacteristic
731C22⋊D73—22no—
732C22⋊D73—42no—
733C22⋊D73—42no—
734C22⋊D73—81no—
735C22⋊D73—81no—
736C22⋊D73#13714yescomplemented
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—42no—
744C2×Dic73—81no—
745C2×Dic73—81no—
746C2×Dic73—81no—
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753D292—22no—
754D292—21no—
755D292—21no—
756D292—21no—
757D292—42no—
758D292—42no—
759D292—42no—
760D292—81no—
761D292C2×#4112yes—
762C4×D73—22no—
763C4×D73—21no—
764C4×D73—21no—
765C4×D73—21no—
766C4×D73—21no—
767C4×D73—22no—
768C4×D73—41no—
769C4×D73—41no—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—42no—
774C4×D73—42no—
775C4×D73—42no—
776C4×D73—81no—
777C4×D73—81no—
778C4×D73—81no—
779C4×D73—81no—
780C4×D73—81no—
781C4×D73—81no—
782Dic146—21no—
783Dic146—22no—
784Dic146—21no—
785Dic146—21no—
786Dic146—42no—
787Dic146—42no—
788Dic146—42no—
789Dic146—81no—
790Dic146—81no—
791Dic146—81no—
792Dic146C2×#4112yes—
793C8×C73—21no—
794C8×C73—21no—
795C8×C73—21no—
796C8×C73C2×#4112yes—
797#10596831—21no—
798#10596831—21no—
799#10596831—21no—
800#10596831—21no—
801C22×C73—21no—
802C22×C73—21no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73C2×#13712yes—
807C22×C73C23×D411yescharacteristic
808C2×D73—21no—
809C2×D73—21no—
810C2×D73—21no—
811C2×D73—21no—
812C2×D73—22no—
813C2×D73—21no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—84no—
820C2×D73—84no—
821C2×D73C2×#13712yes—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—21no—
826C4×C73—21no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73C22×#4111yescharacteristic
835C4×C73#58511yescharacteristic
836Dic73—21no—
837Dic73—21no—
838Dic73—22no—
839Dic73—21no—
840Dic73—21no—
841Dic73—21no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845Dic73—41no—
846Dic73—41no—
847Dic73C2×#13712yes—
848#61453—731nomaximal, Sylow
849C2×C73—22no—
850C2×C73—81no—
851C2×C73D4×#4111yescharacteristic
852C2×C73C22×#13711yescharacteristic
853C2×C73#358511yescharacteristic
854D73—22no—
855D73—41no—
856D73—42no—
857D73—81no—
858#3481—731no—
859Q8×#41—731no—
860#3400—731no—
861#3385—731no—
862#3375—731no—
863#3372—731no—
864#3346—731no—
865#3346—731no—
866#3338—731no—
867#3320—731no—
868#3320—731no—
869#3314—731no—
870#3314—731no—
871#3299—731no—
872#3295—731no—
873D4×SD16—731no—
874#3266—731no—
875#3266—731no—
876#3182—731no—
877#3181—731no—
878#3181D7311yescharacteristic, complemented
879#3117—731no—
880#3117—731no—
881#3116—731no—
882#3112—731no—
883#3110—731no—
884#3110—731no—
885#2970—731no—
886C4×#137—731no—
887C2×#440—731no—
888C2×#440—731no—
889C73#6145311yescharacteristic, complemented, Sylow
890C2×#137—731no—
891C22×SD16—731no—
892C22×SD16—731no—
893#559—731no—
894Q82—731no—
895#557—731no—
896#557—1461no—
897#554—731no—
898#554—731no—
899#554—731no—
900#554—731no—
901#554—731no—
902#554—1461no—
903#554—1461no—
904#554—1461no—
905#553—731no—
906#553—731no—
907#553—1461no—
908#551—1461no—
909#551—1461no—
910D4×Q8—731no—
911D4×Q8—731no—
912D4×Q8—731no—
913#546—731no—
914#546—731no—
915#546—1461no—
916D42—731no—
917#533—731no—
918#533—731no—
919#533—1461no—
920#533—1461no—
921#533—1461no—
922#533C2×D7311yescharacteristic, complemented
923#532—731no—
924#529—731no—
925#529—1461no—
926#529C2×D7311yescharacteristic
927#525—1461no—
928#525—1461no—
929C4×#41—731no—
930C4×#41—731no—
931C4×#41—1461no—
932C2×C4×Q8—731no—
933C2×C4×Q8—731no—
934C2×C4×Q8—731no—
935C2×C4×D4—731no—
936C2×C4×D4—731no—
937C2×C4×D4—1461no—
938#501—731no—
939#501C2×D7311yescharacteristic, complemented
940#500—731no—
941#497—731no—
942#497C2×D7311yescharacteristic, complemented
943#492—731no—
944#491—731no—
945#491C2×D7311yescharacteristic, complemented
946#489—731no—
947#489C2×D7311yescharacteristic, complemented
948#487—731no—
949#486—731no—
950#485—731no—
951#485—731no—
952#484—731no—
953#484—731no—
954#484—731no—
955#484—731no—
956#484—731no—
957#484—731no—
958#481—731no—
959#481—731no—
960#480—731no—
961#480—731no—
962#479—731no—
963#479—731no—
964#479—731no—
965#479—731no—
966#477—731no—
967#477—731no—
968#477—731no—
969#476—731no—
970#474—731no—
971#474—731no—
972#474—731no—
973#474—731no—
974#468—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#467—731no—
979#467—731no—
980#467C2×D7311yescharacteristic, complemented
981#467C2×D7311yescharacteristic, complemented
982#465—731no—
983#465—731no—
984#465C2×D7311yescharacteristic
985#465C2×D7311yescharacteristic
986#464—731no—
987#464—731no—
988#464—731no—
989#464—731no—
990#462—731no—
991#461—731no—
992#461—731no—
993#461—731no—
994#461—731no—
995#461—731no—
996#460—731no—
997#460—731no—
998#452—731no—
999#452—731no—
1000#451—731no—
1001#451—731no—
1002#450—731no—
1003#450—731no—
1004#450—731no—
1005#450—731no—
1006#448—731no—
1007#448—731no—
1008#448—731no—
1009#448—731no—
1010#446—731no—
1011#446—731no—
1012#441—731no—
1013#441—731no—
1014#441C2×D7311yescharacteristic, complemented
1015#441C2×D7311yescharacteristic, complemented
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440—731no—
1026#440—731no—
1027#440—731no—
1028#440—731no—
1029#440—731no—
1030#440—731no—
1031#440—731no—
1032#440—731no—
1033#440—731no—
1034#440C2×D7311yescharacteristic, complemented
1035#440C2×D7311yescharacteristic, complemented
1036C4×Q16—731no—
1037C4×Q16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435—731no—
1044C8×D4—731no—
1045C8×D4—731no—
1046#432—731no—
1047#432—731no—
1048#432—731no—
1049#428—731no—
1050C2×#107—731no—
1051C2×#107—731no—
1052#419—731no—
1053#417—731no—
1054C2×#103—731no—
1055C2×#103—731no—
1056C2×#102—731no—
1057C2×#102—731no—
1058C4×M16—731no—
1059C2×#97—731no—
1060C2×#97C2×D7311yescharacteristic, complemented
1061C2×#41—731no—
1062C2×#41—731no—
1063C2×#41—1461no—
1064C22×Q8—731no—
1065C22×Q8—731no—
1066C22×Q8—731no—
1067C22×D4—731no—
1068C22×D4—731no—
1069C22×D4—1461no—
1070C23×C4—1461no—
1071C23×C4—1461no—
1072#137—1464no—
1073C2×Q16—731no—
1074C2×Q16—731no—
1075C2×Q16C22×D7311yescharacteristic
1076C2×Q16C22×D7311yescharacteristic
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16—731no—
1083C2×SD16—731no—
1084C2×SD16—731no—
1085C2×SD16—731no—
1086C2×SD16—731no—
1087C2×SD16—1464no—
1088C2×SD16—1464no—
1089C2×SD16C22×D7311yescharacteristic
1090C2×SD16C22×D7311yescharacteristic
1091C2×M16—731no—
1092C2×M16—731no—
1093C22×C8—731no—
1094C22×C8—731no—
1095C22×C8C22×D7311yescharacteristic
1096C22×C8C22×D7311yescharacteristic
1097C4⋊Q8—731no—
1098C4⋊Q8—731no—
1099C4⋊Q8—731no—
1100C4⋊Q8—731no—
1101C4⋊Q8—731no—
1102C4⋊Q8—1461no—
1103C4⋊Q8—1461no—
1104C4⋊Q8—1461no—
1105C4⋊Q8—1461no—
1106C4⋊Q8—1461no—
1107C4⋊Q8—1461no—
1108C4⋊Q8C22×D7311yescharacteristic
1109C4⋊Q8C22×D7311yescharacteristic
1110#127—731no—
1111#126—21no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#125—21no—
1116#125—731no—
1117#125—1461no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125—1461no—
1125#125—1461no—
1126#125C22×D7311yescharacteristic
1127#124—731no—
1128#124—1461no—
1129#124—1461no—
1130#124C22×D7311yescharacteristic
1131#123—21no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136#123—1461no—
1137#123—1461no—
1138#123—1461no—
1139C22⋊Q8—21no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8C22×D7311yescharacteristic
1165C22⋊Q8C22×D7311yescharacteristic
1166C22⋊Q8C22×D7311yescharacteristic
1167#121—731no—
1168#121—731no—
1169#121—731no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#121C22×D7311yescharacteristic
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—21no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—731no—
1188C4×Q8—731no—
1189C4×Q8—731no—
1190C4×Q8—731no—
1191C4×Q8—731no—
1192C4×Q8—731no—
1193C4×Q8—1461no—
1194C4×Q8—1461no—
1195C4×Q8—1461no—
1196C4×Q8—1461no—
1197C4×Q8—1461no—
1198C4×Q8—1461no—
1199C4×Q8—1461no—
1200C4×Q8—1461no—
1201C4×Q8—1461no—
1202C4×Q8—1461no—
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×Q8C22×D7311yescharacteristic
1206C4×D4—21no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4C22×D7311yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—731no—
1242#117—731no—
1243#117—731no—
1244#117—731no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249C2×C4⋊C4—731no—
1250C2×C4⋊C4—731no—
1251C2×C4⋊C4—731no—
1252C2×C4⋊C4—731no—
1253C2×C4⋊C4—731no—
1254C2×C4⋊C4—1461no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4—1461no—
1258C2×C22⋊C4—1461no—
1259C2×C22⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C42—731no—
1263C2×C42—731no—
1264C2×C42—1461no—
1265C2×C42—1461no—
1266C2×C42—1461no—
1267C2×C42—1461no—
1268C2×C42C22×D7311yescharacteristic
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#107—731no—
1274#107—731no—
1275#107—731no—
1276#107—731no—
1277#107—731no—
1278#107—731no—
1279#107C22×D7311yescharacteristic
1280#107C22×D7311yescharacteristic
1281#106—731no—
1282#106—731no—
1283#106C22×D7311yescharacteristic
1284#106C22×D7311yescharacteristic
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8—731no—
1289C4⋊C8—731no—
1290C4⋊C8—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103—731no—
1304#103—731no—
1305#103C22×D7311yescharacteristic
1306#103C22×D7311yescharacteristic
1307#103C22×D7311yescharacteristic
1308#103C22×D7311yescharacteristic
1309#103C22×D7311yescharacteristic
1310#103C22×D7311yescharacteristic
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102C22×D7311yescharacteristic
1322#102C22×D7311yescharacteristic
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8—731no—
1326C22⋊C8—731no—
1327C22⋊C8—731no—
1328C22⋊C8—731no—
1329#97—731no—
1330#97—731no—
1331#97—731no—
1332#97—731no—
1333#97C22×D7311yescharacteristic
1334#97C22×D7311yescharacteristic
1335#97C22×D7311yescharacteristic
1336#97C22×D7311yescharacteristic
1337C4×C8—731no—
1338C4×C8—731no—
1339C24—1461no—
1340C24—1461no—
1341#41—2921no—
1342#41—5842no—
1343#41—1464no—
1344#41—1462no—
1345C2×Q8—21no—
1346C2×Q8—2921no—
1347C2×Q8—2921no—
1348C2×Q8—2921no—
1349C2×Q8—731no—
1350C2×Q8—731no—
1351C2×Q8—731no—
1352C2×Q8—1462no—
1353C2×Q8—1461no—
1354C2×Q8—1461no—
1355C2×Q8—1461no—
1356C2×Q8—1461no—
1357C2×Q8—1461no—
1358C2×Q8—1462no—
1359C2×Q8—1462no—
1360C2×Q8—1461no—
1361C2×Q8C23×D7311yescharacteristic
1362C2×Q8C23×D7311yescharacteristic
1363C2×Q8C23×D7311yescharacteristic
1364C2×D4—21no—
1365C2×D4—2921no—
1366C2×D4—2924no—
1367C2×D4—2921no—
1368C2×D4—731no—
1369C2×D4—731no—
1370C2×D4—731no—
1371C2×D4—731no—
1372C2×D4—731no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1462no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1461no—
1379C2×D4—1461no—
1380C2×D4—1462no—
1381C2×D4—1461no—
1382C2×D4—1461no—
1383C2×D4C23×D7311yescharacteristic
1384C22×C4—21no—
1385C22×C4—5842no—
1386C22×C4—5842no—
1387C22×C4—731no—
1388C22×C4—731no—
1389C22×C4—731no—
1390C22×C4—731no—
1391C22×C4—731no—
1392C22×C4—731no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4D4×D7311yescharacteristic
1410C22×C4D4×D7311yescharacteristic
1411C22×C4C23×D7311yescharacteristic
1412Q16—22no—
1413Q16—41no—
1414Q16—2921no—
1415Q16—1462no—
1416SD16—22no—
1417SD16—41no—
1418SD16—2921no—
1419SD16—2921no—
1420SD16—2921no—
1421SD16—734no—
1422SD16—1462no—
1423SD16—1462no—
1424SD16—1462no—
1425SD16—1462no—
1426SD16—1462no—
1427SD16—1462no—
1428M16—2921no—
1429M16—1462no—
1430C2×C8—22no—
1431C2×C8—41no—
1432C2×C8—2921no—
1433C2×C8—731no—
1434C2×C8—731no—
1435C2×C8—731no—
1436C2×C8—731no—
1437C2×C8—1462no—
1438C2×C8C23×D7311yescharacteristic
1439C2×C8C23×D7311yescharacteristic
1440C2×C8C23×D7311yescharacteristic
1441C2×C8C23×D7311yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—731no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—731no—
1459C4⋊C4—731no—
1460C4⋊C4—731no—
1461C4⋊C4—731no—
1462C4⋊C4—731no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4C23×D7311yescharacteristic
1492C4⋊C4C23×D7311yescharacteristic
1493C4⋊C4C23×D7311yescharacteristic
1494C4⋊C4C23×D7311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—731no—
1503C22⋊C4—731no—
1504C22⋊C4—731no—
1505C22⋊C4—731no—
1506C22⋊C4—731no—
1507C22⋊C4—731no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—731no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—731no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42—1461no—
1544C42—1461no—
1545C42D4×D7311yescharacteristic
1546C42D4×D7311yescharacteristic
1547C42C23×D7311yescharacteristic
1548C42C23×D7311yescharacteristic
1549C23—21no—
1550C23—2922no—
1551C23—2922no—
1552C23—2922no—
1553C23—2922no—
1554C23—5841no—
1555C23—5841no—
1556C23—731no—
1557C23—731no—
1558C23—1461no—
1559C23—1461no—
1560C23C2×D4×D7311yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—21no—
1567Q8—81no—
1568Q8—2922no—
1569Q8—2922no—
1570Q8—2922no—
1571Q8—5841no—
1572Q8—5841no—
1573Q8—5841no—
1574Q8—732no—
1575Q8—1462no—
1576Q8—1461no—
1577Q8—1461no—
1578Q8—1461no—
1579D4—21no—
1580D4—21no—
1581D4—42no—
1582D4—2922no—
1583D4—2922no—
1584D4—2922no—
1585D4—2922no—
1586D4—2922no—
1587D4—5841no—
1588D4—5841no—
1589D4—5841no—
1590D4—734no—
1591D4—732no—
1592D4—1462no—
1593D4—1462no—
1594D4—1461no—
1595D4—1461no—
1596D4—1461no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—41no—
1608C2×C4—42no—
1609C2×C4—2922no—
1610C2×C4—2922no—
1611C2×C4—2921no—
1612C2×C4—2921no—
1613C2×C4—2922no—
1614C2×C4—2922no—
1615C2×C4—2922no—
1616C2×C4—2922no—
1617C2×C4—2922no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—5841no—
1624C2×C4—5841no—
1625C2×C4—5841no—
1626C2×C4—5841no—
1627C2×C4—731no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—731no—
1631C2×C4—731no—
1632C2×C4—731no—
1633C2×C4—1462no—
1634C2×C4—1462no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4—1461no—
1640C2×C4—1461no—
1641C2×C4—1461no—
1642C2×C4—1461no—
1643C2×C4—1461no—
1644C2×C4—1461no—
1645C2×C4C2×D4×D7311yescharacteristic
1646C2×C4C2×D4×D7311yescharacteristic
1647C2×C4C2×D4×D7311yescharacteristic
1648C2×C4C2×D4×D7311yescharacteristic
1649C2×C4C2×D4×D7311yescharacteristic
1650C2×C4C24×D7311yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—1461no—
1655C8—1461no—
1656C8—1461no—
1657C8—1461no—
1658C8#41×D7312yes—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—2921no—
1665C22—2921no—
1666C22—2921no—
1667C22—2921no—
1668C22—2921no—
1669C22—5844no—
1670C22—5844no—
1671C22—732no—
1672C22—1461no—
1673C22—1461no—
1674C22—1462no—
1675C22—1461no—
1676C22—1461no—
1677C22—1461no—
1678C22#137×D7312yes—
1679C22C22×D4×D7311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—2921no—
1693C4—2921no—
1694C4—2921no—
1695C4—2921no—
1696C4—2921no—
1697C4—732no—
1698C4—1461no—
1699C4—1462no—
1700C4—1461no—
1701C4—1461no—
1702C4—1461no—
1703C4—1461no—
1704C4C2×#41×D7311yescharacteristic
1705C4#1798942311yescharacteristic
1706C2—22no—
1707C2—81no—
1708C2—2922no—
1709C2—2921no—
1710C2—5841no—
1711C2—1462no—
1712C2#2262341711yescharacteristic
1713C2C2×#137×D7311yescharacteristic
1714C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3181C2
socleC22×C73C23×D4
prime radical#22623537C2
hypercenter#3181D73
hypocenterC73#61453
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3181

Complements

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

NH ≅ G/Ntype
2. #22623509C2semidirect
3. #22622981C2semidirect
4. #22622838C2semidirect
5. #22622742C2semidirect
6. #22622709C2semidirect
7. #22622422C2semidirect
8. #22622415C2semidirect
9. #22622320C2semidirect
10. #22622108C2semidirect
11. #22622101C2semidirect
12. #22622018C2semidirect
13. #22622011C2semidirect
14. #22621802C2semidirect
15. #22621750C2semidirect
16. #22621624C2semidirect
17. #22621440C2semidirect
18. #22621438C2semidirect
19. #22620646C2semidirect
20. #22620638C2semidirect
21. #22620106C2semidirect
22. #22620098C2semidirect
23. #22620091C2semidirect
24. #22620051C2semidirect
25. #22620028C2semidirect
26. #22620026C2semidirect
27. #22618942C2semidirect
28. #22618747C2semidirect
29. C2×#17988689C2semidirect
30. #440×D73C2semidirect
31. C73×#3181C2semidirect
36. #17989317C22semidirect
38. #17989312C22semidirect
39. #17989298C22semidirect
42. #17989295C22semidirect
52. #17989252C22semidirect
54. #17989250C22semidirect
61. #17989141C22semidirect
62. #17989141C22semidirect
72. C2×C4×Dic146C22semidirect
73. C4×Q8×D73C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988994C22semidirect
79. #17988991C22semidirect
80. #17988980C22semidirect
82. #17988954C22semidirect
83. #17988948C22semidirect
84. #17988936C22semidirect
86. #17988931C22semidirect
87. #17988927C22semidirect
88. #17988924C22semidirect
89. #17988921C22semidirect
90. #17988921C22semidirect
91. #17988920C22semidirect
92. #17988920C22semidirect
93. #17988920C22semidirect
96. #17988902C22semidirect
97. #17988899C22semidirect
98. #17988897C22semidirect
99. #17988896C22semidirect
100. #17988891C22semidirect
101. #17988891C22semidirect
102. #17988881C22semidirect
103. #17988880C22semidirect
104. #17988880C22semidirect
107. #17988865C22semidirect
109. #17988864C22semidirect
110. #17988836C22semidirect
111. #17988834C22semidirect
112. #17988832C22semidirect
113. #17988830C22semidirect
114. #17988827C22semidirect
115. #17988825C22semidirect
118. #17988812C22semidirect
119. #17988811C22semidirect
120. #17988806C22semidirect
121. #17988806C22semidirect
122. #17988795C22semidirect
125. #17988790C22semidirect
127. #17988789C22semidirect
132. #17988742C22semidirect
133. #17988741C22semidirect
139. #17988727C22semidirect
141. #17988724C22semidirect
142. #17988715C22semidirect
143. #17988715C22semidirect
144. #17988692C22semidirect
145. #17988692C22semidirect
151. #17988689C22semidirect
152. #17988689C22semidirect
153. #17988689C22semidirect
154. #17988689C22semidirect
155. #17988688C22semidirect
156. #17988687C22semidirect
157. #17988687C22semidirect
161. #17988685C22semidirect
162. #17988685C22semidirect
163. #17988684C22semidirect
164. Q16×Dic73C22semidirect
165. #17988679C22semidirect
168. #17988660C22semidirect
169. #17988660C22semidirect
170. #17988658C22semidirect
171. #17988658C22semidirect
174. #17988644C22semidirect
175. #17988642C22semidirect
176. #17988642C22semidirect
177. #17988626C22semidirect
178. C2×#14556525C22semidirect
179. #107×D73C22semidirect
180. #17988594C22semidirect
182. C2×#14556516C22semidirect
183. #103×D73C22semidirect
186. #17988539C22semidirect
187. #97×D73C22semidirect
188. #533×C73C22semidirect
190. #501×C73C22semidirect
191. #497×C73C22semidirect
192. #491×C73C22semidirect
193. #489×C73C22semidirect
194. #467×C73C22semidirect
195. #467×C73C22semidirect
198. #441×C73C22semidirect
199. #441×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. C2×#97×C73C22semidirect
549. #11924017#41semidirect
736. C22⋊D73#137semidirect
878. #3181D73semidirect
889. C73#61453semidirect
922. #533C2×D73semidirect
939. #501C2×D73semidirect
942. #497C2×D73semidirect
945. #491C2×D73semidirect
947. #489C2×D73semidirect
980. #467C2×D73semidirect
981. #467C2×D73semidirect
1014. #441C2×D73semidirect
1015. #441C2×D73semidirect
1034. #440C2×D73semidirect
1035. #440C2×D73semidirect
1060. C2×#97C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235372
#226235092
#226229812
#226228382
#226227422
#226227092
#226224222
#226224152
#226223202
#226221082
#226221012
#226220182
#226220112
#226218022
#226217502
#226216242
#226214402
#226214382
#226206462
#226206382
#226201062
#226200982
#226200912
#226200512
#226200282
#226200262
#226189422
#226187472
C2×#179886892
#440×D732
C73×#31812
#6145373