Finite Group Databasebeta

← #33982714

Subgroups — #33982714

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624376C211yesmaximal, characteristic, complemented
2#22623871C211yesmaximal, characteristic, complemented
3#22622877C211yesmaximal, characteristic, complemented
4#22622831C211yesmaximal, characteristic, complemented
5#22622724C211yesmaximal, characteristic, complemented
6#22622704C211yesmaximal, characteristic, complemented
7#22622481C211yesmaximal, characteristic, complemented
8#22622406C211yesmaximal, characteristic, complemented
9#22622405C211yesmaximal, characteristic, complemented
10#22622390C211yesmaximal, characteristic, complemented
11#22622314C211yesmaximal, characteristic, complemented
12#22622281C211yesmaximal, characteristic, complemented
13#22622076C211yesmaximal, characteristic, complemented
14#22622016C211yesmaximal, characteristic, complemented
15#22621972C211yesmaximal, characteristic, complemented
16#22621897C211yesmaximal, characteristic, complemented
17#22621785C211yesmaximal, characteristic, complemented
18#22621748C211yesmaximal, characteristic, complemented
19#22621398C211yesmaximal, characteristic, complemented
20#22621339C211yesmaximal, characteristic, complemented
21#22621278C211yesmaximal, characteristic, complemented
22#22621228C211yesmaximal, characteristic, complemented
23#22621181C211yesmaximal, characteristic, complemented
24#22621163C211yesmaximal, characteristic, complemented
25#22620205C211yesmaximal, characteristic, complemented
26#22620112C211yesmaximal, characteristic, complemented
27#22619794C211yesmaximal, characteristic, complemented
28#22619759C211yesmaximal, characteristic, complemented
29C2×#17988877C211yesmaximal, characteristic, complemented
30#22619072C211yesmaximal, characteristic, complemented
31C73×#3114C211yesmaximal, characteristic, complemented
32#17989339—21no—
33#17989339—21no—
34#17989320C2211yescharacteristic
35#17989316C2211yescharacteristic, complemented
36#17989310C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic
38#17989295C2211yescharacteristic
39#17989295C2211yescharacteristic, complemented
40#17989289C2211yescharacteristic
41#17989289C2211yescharacteristic, complemented
42#17989287C2211yescharacteristic
43#17989286—21no—
44#17989272C2211yescharacteristic
45#17989266—21no—
46#17989263—21no—
47D4×Dic146—21no—
48D4×Dic146C2211yescharacteristic, complemented
49#17989246—21no—
50#17989242C2211yescharacteristic, complemented
51#17989238C2211yescharacteristic
52#17989232C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989227—21no—
55D4×C22⋊D73C2211yescharacteristic
56#17989217C2211yescharacteristic, complemented
57#17989217C2211yescharacteristic, complemented
58#17989206C2211yescharacteristic, complemented
59#17989206C2211yescharacteristic, complemented
60#17989202C2211yescharacteristic
61#17989199—21no—
62#17989188C2211yescharacteristic
63#17989181—21no—
64#17989181—21no—
65#17989179—21no—
66#17989170—21no—
67#17989163—21no—
68C2×#14556591C2211yescharacteristic, complemented
69#17989121C2211yescharacteristic
70#17989121C2211yescharacteristic
71#17989098—21no—
72C2×#14556574—21no—
73#17989066C2211yescharacteristic
74#17989059C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988947C2211yescharacteristic, complemented
83#17988947C2211yescharacteristic, complemented
84#17988945C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic
87#17988930C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988923C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic, complemented
91#17988919C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic
95#17988909C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988906C2211yescharacteristic
99#17988906C2211yescharacteristic
100#17988904C2211yescharacteristic
101#17988904C2211yescharacteristic, complemented
102#17988899C2211yescharacteristic, complemented
103#17988896C2211yescharacteristic, complemented
104#17988894C2211yescharacteristic, complemented
105#17988893C2211yescharacteristic, complemented
106#17988891C2211yescharacteristic, complemented
107#17988890C2211yescharacteristic, complemented
108#17988889C2211yescharacteristic
109#17988887C2211yescharacteristic, complemented
110#17988885C2211yescharacteristic
111#17988885C2211yescharacteristic, complemented
112#17988884C2211yescharacteristic, complemented
113#17988877C2211yescharacteristic
114#17988877C2211yescharacteristic
115#17988877C2211yescharacteristic
116#17988877C2211yescharacteristic
117#17988877C2211yescharacteristic, complemented
118#17988877C2211yescharacteristic, complemented
119#17988877C2211yescharacteristic, complemented
120#17988877C2211yescharacteristic, complemented
121#17988876C2211yescharacteristic, complemented
122#17988875C2211yescharacteristic
123#17988875C2211yescharacteristic, complemented
124#17988873C2211yescharacteristic, complemented
125#17988873C2211yescharacteristic, complemented
126#17988871C2211yescharacteristic, complemented
127#17988870C2211yescharacteristic, complemented
128#17988868C2211yescharacteristic, complemented
129#17988868C2211yescharacteristic, complemented
130#17988865C2211yescharacteristic
131#17988844C2211yescharacteristic, complemented
132#17988839C2211yescharacteristic, complemented
133#17988837C2211yescharacteristic
134#17988830C2211yescharacteristic, complemented
135#17988826C2211yescharacteristic, complemented
136#17988821C2211yescharacteristic
137#17988820C2211yescharacteristic, complemented
138#17988819C2211yescharacteristic, complemented
139#17988818C2211yescharacteristic
140#17988815C2211yescharacteristic, complemented
141#17988814C2211yescharacteristic, complemented
142#17988813C2211yescharacteristic
143#17988809C2211yescharacteristic, complemented
144#17988807C2211yescharacteristic, complemented
145#17988806C2211yescharacteristic, complemented
146#17988802C2211yescharacteristic, complemented
147#17988800C2211yescharacteristic, complemented
148#17988799C2211yescharacteristic, complemented
149#17988785C2211yescharacteristic
150#17988780C2211yescharacteristic
151#17988746C2211yescharacteristic
152#17988736C2211yescharacteristic
153#17988729C2211yescharacteristic
154#17988719C2211yescharacteristic
155#17988715C2211yescharacteristic, complemented
156#17988715C2211yescharacteristic, complemented
157#17988699C2211yescharacteristic
158#17988696C2211yescharacteristic, complemented
159#17988691C2211yescharacteristic, complemented
160#17988688C2211yescharacteristic
161#17988678C2211yescharacteristic, complemented
162SD16×Dic73C2211yescharacteristic
163#17988672C2211yescharacteristic, complemented
164D8×Dic73C2211yescharacteristic
165#17988660C2211yescharacteristic, complemented
166#17988660C2211yescharacteristic, complemented
167#17988655C2211yescharacteristic
168#17988655C2211yescharacteristic, complemented
169#17988650C2211yescharacteristic
170#17988650C2211yescharacteristic, complemented
171#17988647C2211yescharacteristic, complemented
172#17988647C2211yescharacteristic, complemented
173#17988628C2211yescharacteristic, complemented
174#17988626C2211yescharacteristic, complemented
175#17988624C2211yescharacteristic, complemented
176C2×#14556522C2211yescharacteristic, complemented
177C2×#14556522C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×C4⋊#10596831C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988585C2211yescharacteristic
184#17988580C2211yescharacteristic
185C2×#14556512C2211yescharacteristic
186C2×#14556512C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#529×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic
190#483×C73C2211yescharacteristic, complemented
191#480×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028—21no—
205C2×#11924027C2311yescharacteristic
206C22×Dic146—21no—
207C22×Dic146—21no—
208C22×C22⋊D73—21no—
209C2×D4×D73C2311yescharacteristic
210C2×#11924018C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924015C2311yescharacteristic
213C2×#11924013C2311yescharacteristic
214C2×#11924011C2311yescharacteristic
215C2×#11924011C2311yescharacteristic
216C22×#10596831C2311yescharacteristic
217C22×#10596831C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591—21no—
221#14556591—21no—
222#14556591—21no—
223#14556591C2311yescharacteristic
224#14556591C2311yescharacteristic
225#14556591C2311yescharacteristic
226#14556591C2311yescharacteristic
227#14556590—21no—
228#14556590—21no—
229#14556590C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556587C2311yescharacteristic
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556585—21no—
237#14556585D411yescharacteristic
238#14556585D411yescharacteristic
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556583D411yescharacteristic
246#14556583C2311yescharacteristic
247#14556582—21no—
248#14556582—21no—
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556579—21no—
258#14556579D411yescharacteristic
259#14556579C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556576—21no—
266#14556575—21no—
267#14556575—21no—
268#14556575—21no—
269#14556575—21no—
270#14556575—21no—
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556574D411yescharacteristic
279#14556574D411yescharacteristic
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556572—21no—
285#14556571—21no—
286#14556571—21no—
287#14556571—21no—
288#14556571—21no—
289#14556571C2311yescharacteristic
290#14556570—21no—
291#14556570—21no—
292#14556570—21no—
293#14556570—21no—
294#14556570D411yescharacteristic
295#14556570C2311yescharacteristic
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556567C2311yescharacteristic
308#14556567C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556565—21no—
311#14556565—21no—
312#14556565D411yescharacteristic
313#14556565C2311yescharacteristic
314#14556564—21no—
315#14556564—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556562C2311yescharacteristic
323#14556562C2311yescharacteristic
324#14556561—21no—
325#14556560—21no—
326#14556560—21no—
327#14556559—21no—
328Q8×Dic73C2311yescharacteristic
329Q8×Dic73C2311yescharacteristic
330C4×Dic146—21no—
331C4×Dic146—21no—
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334#14556556C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73C2311yescharacteristic
350C4×C22⋊D73C2311yescharacteristic
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556550—21no—
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548C2311yescharacteristic
361#14556548C2311yescharacteristic
362#14556547—21no—
363C2×C4⋊Dic73—21no—
364C2×C4⋊Dic73C2311yescharacteristic
365C2×C4⋊Dic73C2311yescharacteristic
366C2×#11924007—21no—
367C2×#11924007—21no—
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C2×C22⋊Dic73—21no—
372C2×#11924005—21no—
373C2×#11924005—21no—
374C22⋊C4×D73—21no—
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C22×D4×C73C2311yescharacteristic
436C23×C4×C73—21no—
437C2×SD16×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C2×D8×C73C2311yescharacteristic
441#126×C73—21no—
442#125×C73C2311yescharacteristic
443#124×C73C2311yescharacteristic
444#123×C73—21no—
445C22⋊Q8×C73C2311yescharacteristic
446#121×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456#117×C73—21no—
457C2×C4⋊C4×C73C2311yescharacteristic
458C2×C22⋊C4×C73—21no—
459C2×C42×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C23×D73—21no—
479#11924028—82no—
480#11924028—82no—
481#11924027—22no—
482#11924027—41no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—82no—
491C2×Dic146—82no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×D292—21no—
495C2×D292C2×D411yescharacteristic
496C2×D292C2411yescharacteristic
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—82no—
507C2×C22⋊D73C2×D411yescharacteristic
508C2×C22⋊D73C2×D411yescharacteristic
509D4×D73—22no—
510D4×D73—41no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73C2411yescharacteristic
524C2×C4×D73C2411yescharacteristic
525#11924018—41no—
526#11924016—41no—
527#11924015—41no—
528#11924013—41no—
529#11924011—41no—
530#11924011—41no—
531C2×#10596831—41no—
532C2×#10596831—41no—
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C2×#10596831C2411yescharacteristic
537C8×D73—41no—
538C8×D73—41no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73C2×D411yescharacteristic
552C4⋊Dic73C2×D411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73C2×D411yescharacteristic
595C22⋊Dic73C2×D411yescharacteristic
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73C2411yescharacteristic
624C4×Dic73C2411yescharacteristic
625C24×C73—21no—
626C2×Q8×C73C2411yescharacteristic
627C2×D4×C73—22no—
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73—41no—
631C2×D4×C73C2411yescharacteristic
632C2×D4×C73C2411yescharacteristic
633C2×D4×C73C2411yescharacteristic
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73—21no—
640C22×C4×C73—82no—
641C22×C4×C73C2×D411yescharacteristic
642C22×C4×C73C2×D411yescharacteristic
643C22×C4×C73C2411yescharacteristic
644SD16×C73—22no—
645SD16×C73—41no—
646D8×C73—22no—
647D8×C73—41no—
648C2×C8×C73C2411yescharacteristic
649C2×C8×C73C2411yescharacteristic
650C2×C8×C73C2411yescharacteristic
651C2×C8×C73C2411yescharacteristic
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C42×C73—21no—
671C42×C73C2×D411yescharacteristic
672C42×C73C2×D411yescharacteristic
673C42×C73C2411yescharacteristic
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C23×C73—21no—
678C23×C73—42no—
679C23×C73—42no—
680C23×C73—81no—
681C23×C73C22×D411yescharacteristic
682C22×D73—21no—
683C22×D73—42no—
684C22×D73—81no—
685C22×D73—81no—
686C22×D73C22×D411yescharacteristic
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—21no—
694D4×C73—21no—
695D4×C73—42no—
696D4×C73—42no—
697D4×C732−1+412yes—
698C2×C4×C73—22no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—41no—
707C2×C4×C73—42no—
708C2×C4×C73—42no—
709C2×C4×C73—81no—
710C2×C4×C73—81no—
711C2×C4×C73—81no—
712C2×C4×C73—81no—
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C22×D411yescharacteristic
718C2×C4×C73C2511yescharacteristic
719C22⋊D73—22no—
720C22⋊D73—22no—
721C22⋊D73—42no—
722C22⋊D73—42no—
723C22⋊D73—42no—
724C22⋊D73—81no—
725C22⋊D73—81no—
726C22⋊D73—81no—
727C22⋊D73—81no—
728C22⋊D73—81no—
729C22⋊D73—81no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—42no—
738C2×Dic73—81no—
739C2×Dic73—81no—
740C2×Dic73—81no—
741C2×Dic73—81no—
742C2×Dic73—81no—
743C2×Dic73—81no—
744C2×Dic73C22×D411yescharacteristic
745C2×Dic73C22×D411yescharacteristic
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750D292—21no—
751D292—21no—
752D292—41no—
753D292—81no—
754C4×D73—21no—
755C4×D73—21no—
756C4×D73—21no—
757C4×D73—21no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763Dic146—21no—
764Dic146—21no—
765Dic146—41no—
766Dic146—42no—
767Dic146—42no—
768Dic146—81no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—22no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—84no—
793C22×C73#57712yes—
794C22×C73C23×D411yescharacteristic
795C2×D73—21no—
796C2×D73—21no—
797C2×D73—21no—
798C2×D73—21no—
799C2×D73—21no—
800C2×D73—21no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—41no—
804C2×D73—162no—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73C2×2−1+411yescharacteristic
816C4×C73#58511yescharacteristic
817Dic73—21no—
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62156—731nomaximal, Sylow
831C2×C73—22no—
832C2×C73—42no—
833C2×C73—81no—
834C2×C73—81no—
835C2×C73#348911yescharacteristic
836C2×C73C2×#57711yescharacteristic
837C2×C73#358511yescharacteristic
838D73—41no—
839D73—41no—
840D73—81no—
841#3552—731no—
842#3513—731no—
843#3388—731no—
844#3384—731no—
845#3373—731no—
846#3371—731no—
847#3350—731no—
848#3345—731no—
849#3345—731no—
850#3344—731no—
851#3337—731no—
852#3335—731no—
853#3318—731no—
854#3314—731no—
855#3311—731no—
856#3306—731no—
857#3297—731no—
858#3295—731no—
859#3263—731no—
860#3257—731no—
861#3250—731no—
862#3244—731no—
863#3241—731no—
864#3239—731no—
865#3125—731no—
866#3118—731no—
867#3114D7311yescharacteristic, complemented
868#3084—731no—
869#3081—731no—
870C2×#476—731no—
871#2992—731no—
872C73#6215611yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559—731no—
876#557—731no—
877#556—731no—
878#554—731no—
879#554—731no—
880#554—731no—
881#553—731no—
882#553—731no—
883#553—731no—
884#553—1461no—
885#552—731no—
886#551—1461no—
887#551—1461no—
888D4×Q8—731no—
889D4×Q8—1461no—
890#548—1461no—
891#547—731no—
892#547—731no—
893#546—731no—
894#546—731no—
895#546—1461no—
896D42—731no—
897#544—731no—
898#544—731no—
899#542—731no—
900#542—731no—
901#542—731no—
902#541—1461no—
903#540—731no—
904#539—1461no—
905#539—1461no—
906#539—1461no—
907#538—1461no—
908#536—1461no—
909C2×C4⋊Q8—731no—
910#529—731no—
911#529—731no—
912#529C2×D7311yescharacteristic, complemented
913#525—1461no—
914C2×#123—1461no—
915#520—731no—
916#518—731no—
917C2×C4×D4C2×D7311yescharacteristic
918#501—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#499—731no—
923#498—731no—
924#490—731no—
925#489—731no—
926#489—731no—
927#489—731no—
928#488—731no—
929#486—731no—
930#485—731no—
931#485—731no—
932#484—731no—
933#484—731no—
934#483—731no—
935#483—731no—
936#483C2×D7311yescharacteristic, complemented
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#481—731no—
942#481—731no—
943#481—731no—
944#481—731no—
945#481—731no—
946#480—731no—
947#480C2×D7311yescharacteristic, complemented
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478C2×D7311yescharacteristic
959#478C2×D7311yescharacteristic, complemented
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476—731no—
971#475—731no—
972#475—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474—731no—
977#474—731no—
978#470—731no—
979#469—731no—
980#469—731no—
981#468—731no—
982#467—731no—
983#466—731no—
984#466—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#464—731no—
991#464—731no—
992#464—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463C2×D7311yescharacteristic
997#463C2×D7311yescharacteristic, complemented
998#460—731no—
999#459—731no—
1000#452—731no—
1001#450—731no—
1002#450C2×D7311yescharacteristic
1003#449—731no—
1004#447—731no—
1005#447C2×D7311yescharacteristic
1006#446—731no—
1007#446—731no—
1008#442—731no—
1009#442—731no—
1010#442C2×D7311yescharacteristic
1011#442C2×D7311yescharacteristic, complemented
1012#441—731no—
1013#440—731no—
1014#440C2×D7311yescharacteristic
1015#440C2×D7311yescharacteristic, complemented
1016C4×SD16—731no—
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×D8—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024C8×D4—731no—
1025C8×D4—731no—
1026#433—731no—
1027#433—731no—
1028#432C2×D7311yescharacteristic, complemented
1029#428—731no—
1030#428—731no—
1031#427—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×#106—731no—
1035#424—731no—
1036#424—731no—
1037C2×C4⋊C8—731no—
1038#418—731no—
1039#417—731no—
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#41—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C22×Q8—1461no—
1048C22×Q8—1461no—
1049C22×D4—731no—
1050C22×D4—1461no—
1051C22×D4C22×D7311yescharacteristic
1052C23×C4—21no—
1053C2×Q16—731no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16C22×D7311yescharacteristic
1057C2×SD16C22×D7311yescharacteristic
1058C2×D8—731no—
1059C2×D8C22×D7311yescharacteristic
1060C2×D8C22×D7311yescharacteristic
1061C2×M16—731no—
1062C2×M16—731no—
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8—731no—
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—731no—
1073C4⋊Q8—731no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077C4⋊Q8—1461no—
1078C4⋊Q8—1461no—
1079#127—731no—
1080#126—21no—
1081#126—731no—
1082#126—731no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#125—731no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—1461no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125C22×D7311yescharacteristic
1106#124—731no—
1107#124—731no—
1108#124—731no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124—1461no—
1114#124C22×D7311yescharacteristic
1115#123—21no—
1116#123—731no—
1117#123—731no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—731no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8C22×D7311yescharacteristic
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—731no—
1167#121—731no—
1168#121—1461no—
1169#121—1461no—
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—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4C22×D7311yescharacteristic
1213C4×D4C22×D7311yescharacteristic
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217#117—21no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4—1461no—
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C22⋊C4—21no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C42C22×D7311yescharacteristic
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107C22×D7311yescharacteristic
1248#107C22×D7311yescharacteristic
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106—731no—
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8C22×D7311yescharacteristic
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103C22×D7311yescharacteristic
1284#103C22×D7311yescharacteristic
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102C22×D7311yescharacteristic
1302#102C22×D7311yescharacteristic
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313#97—731no—
1314#97—731no—
1315#97C22×D7311yescharacteristic
1316#97C22×D7311yescharacteristic
1317C4×C8—731no—
1318C4×C8—731no—
1319C24—21no—
1320C24—1461no—
1321#41—2921no—
1322#41—5842no—
1323#41—5842no—
1324#41—1462no—
1325C2×Q8—5842no—
1326C2×Q8—5842no—
1327C2×Q8—731no—
1328C2×Q8—731no—
1329C2×Q8—1461no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—22no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—41no—
1341C2×D4—2921no—
1342C2×D4—5842no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—731no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1462no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4C23×D7311yescharacteristic
1359C2×D4C23×D7311yescharacteristic
1360C2×D4C23×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—82no—
1368C22×C4—731no—
1369C22×C4—731no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4D4×D7311yescharacteristic
1383C22×C4D4×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385Q16—2921no—
1386SD16—22no—
1387SD16—41no—
1388SD16—2921no—
1389SD16—2921no—
1390D8—22no—
1391D8—41no—
1392D8—2921no—
1393M16—2921no—
1394M16—2921no—
1395C2×C8—2921no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—731no—
1476C22⋊C4—731no—
1477C22⋊C4—731no—
1478C22⋊C4—731no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C42—21no—
1503C42—731no—
1504C42—731no—
1505C42—1461no—
1506C42—1461no—
1507C42—1461no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42D4×D7311yescharacteristic
1513C42D4×D7311yescharacteristic
1514C42C23×D7311yescharacteristic
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—42no—
1520C23—42no—
1521C23—81no—
1522C23—2922no—
1523C23—5841no—
1524C23—5841no—
1525C23—731no—
1526C23—731no—
1527C23—1461no—
1528C23C2×D4×D7311yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—2922no—
1532Q8—2922no—
1533Q8—2921no—
1534Q8—5841no—
1535Q8—5841no—
1536Q8—5841no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—1461no—
1540Q8—1461no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—42no—
1547D4—42no—
1548D4—2921no—
1549D4—2922no—
1550D4—2922no—
1551D4—2922no—
1552D4—5841no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—5841no—
1557D4—5841no—
1558D4—5841no—
1559D4—1462no—
1560D4—1462no—
1561D4—1461no—
1562D4—1461no—
1563D4#1455663812yes—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—41no—
1573C2×C4—42no—
1574C2×C4—42no—
1575C2×C4—81no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—2922no—
1580C2×C4—5841no—
1581C2×C4—5841no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—731no—
1592C2×C4—731no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4C2×D4×D7311yescharacteristic
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—84no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—11682no—
1638C22—1461no—
1639C22—1461no—
1640C22—1461no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22#1798939712yes—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—2921no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C4C2×#1455663811yescharacteristic
1670C4#1798942311yescharacteristic
1671C2—22no—
1672C2—42no—
1673C2—81no—
1674C2—81no—
1675C2—2921no—
1676C2—2921no—
1677C2—5841no—
1678C2#2262360311yescharacteristic
1679C2C2×#1798939711yescharacteristic
1680C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3114C2
socleC22×C73C23×D4
hypercenter#3114D73
hypocenterC73#62156
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3114

Complements

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

NH ≅ G/Ntype
1. #22624376C2semidirect
2. #22623871C2semidirect
3. #22622877C2semidirect
4. #22622831C2semidirect
5. #22622724C2semidirect
6. #22622704C2semidirect
7. #22622481C2semidirect
8. #22622406C2semidirect
9. #22622405C2semidirect
10. #22622390C2semidirect
11. #22622314C2semidirect
12. #22622281C2semidirect
13. #22622076C2semidirect
14. #22622016C2semidirect
15. #22621972C2semidirect
16. #22621897C2semidirect
17. #22621785C2semidirect
18. #22621748C2semidirect
19. #22621398C2semidirect
20. #22621339C2semidirect
21. #22621278C2semidirect
22. #22621228C2semidirect
23. #22621181C2semidirect
24. #22621163C2semidirect
25. #22620205C2semidirect
26. #22620112C2semidirect
27. #22619794C2semidirect
28. #22619759C2semidirect
29. C2×#17988877C2semidirect
30. #22619072C2semidirect
31. C73×#3114C2semidirect
35. #17989316C22semidirect
36. #17989310C22semidirect
39. #17989295C22semidirect
41. #17989289C22semidirect
48. D4×Dic146C22semidirect
50. #17989242C22semidirect
56. #17989217C22semidirect
57. #17989217C22semidirect
58. #17989206C22semidirect
59. #17989206C22semidirect
68. C2×#14556591C22semidirect
75. #17988996C22semidirect
76. #17988996C22semidirect
77. #17988995C22semidirect
78. #17988994C22semidirect
79. #17988988C22semidirect
80. #17988984C22semidirect
82. #17988947C22semidirect
83. #17988947C22semidirect
84. #17988945C22semidirect
85. #17988940C22semidirect
87. #17988930C22semidirect
88. #17988927C22semidirect
89. #17988923C22semidirect
90. #17988923C22semidirect
91. #17988919C22semidirect
92. #17988916C22semidirect
93. #17988914C22semidirect
95. #17988909C22semidirect
96. #17988909C22semidirect
97. #17988907C22semidirect
101. #17988904C22semidirect
102. #17988899C22semidirect
103. #17988896C22semidirect
104. #17988894C22semidirect
105. #17988893C22semidirect
106. #17988891C22semidirect
107. #17988890C22semidirect
109. #17988887C22semidirect
111. #17988885C22semidirect
112. #17988884C22semidirect
117. #17988877C22semidirect
118. #17988877C22semidirect
119. #17988877C22semidirect
120. #17988877C22semidirect
121. #17988876C22semidirect
123. #17988875C22semidirect
124. #17988873C22semidirect
125. #17988873C22semidirect
126. #17988871C22semidirect
127. #17988870C22semidirect
128. #17988868C22semidirect
129. #17988868C22semidirect
131. #17988844C22semidirect
132. #17988839C22semidirect
134. #17988830C22semidirect
135. #17988826C22semidirect
137. #17988820C22semidirect
138. #17988819C22semidirect
140. #17988815C22semidirect
141. #17988814C22semidirect
143. #17988809C22semidirect
144. #17988807C22semidirect
145. #17988806C22semidirect
146. #17988802C22semidirect
147. #17988800C22semidirect
148. #17988799C22semidirect
155. #17988715C22semidirect
156. #17988715C22semidirect
158. #17988696C22semidirect
159. #17988691C22semidirect
161. #17988678C22semidirect
163. #17988672C22semidirect
165. #17988660C22semidirect
166. #17988660C22semidirect
168. #17988655C22semidirect
170. #17988650C22semidirect
171. #17988647C22semidirect
172. #17988647C22semidirect
173. #17988628C22semidirect
174. #17988626C22semidirect
175. #17988624C22semidirect
176. C2×#14556522C22semidirect
177. C2×#14556522C22semidirect
178. #106×D73C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. C2×C4⋊#10596831C22semidirect
188. #529×C73C22semidirect
190. #483×C73C22semidirect
191. #480×C73C22semidirect
193. #478×C73C22semidirect
195. #463×C73C22semidirect
199. #442×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
867. #3114D73semidirect
872. C73#62156semidirect
912. #529C2×D73semidirect
936. #483C2×D73semidirect
947. #480C2×D73semidirect
959. #478C2×D73semidirect
997. #463C2×D73semidirect
1011. #442C2×D73semidirect
1015. #440C2×D73semidirect
1028. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243762
#226238712
#226228772
#226228312
#226227242
#226227042
#226224812
#226224062
#226224052
#226223902
#226223142
#226222812
#226220762
#226220162
#226219722
#226218972
#226217852
#226217482
#226213982
#226213392
#226212782
#226212282
#226211812
#226211632
#226202052
#226201122
#226197942
#226197592
C2×#179888772
#226190722
C73×#31142
#6215673