Finite Group Databasebeta

← #33967962

Subgroups — #33967962

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623539C211yesmaximal, characteristic, complemented
2#22623493C211yesmaximal, characteristic, complemented
3#22622990C211yesmaximal, characteristic, complemented
4#22622884C211yesmaximal, characteristic, complemented
5#22622765C211yesmaximal, characteristic, complemented
6#22622677C211yesmaximal, characteristic, complemented
7#22622435C211yesmaximal, characteristic, complemented
8#22622383C211yesmaximal, characteristic, complemented
9#22622303C211yesmaximal, characteristic, complemented
10#22622085C211yesmaximal, characteristic, complemented
11#22622009C211yesmaximal, characteristic, complemented
12#22621959C211yesmaximal, characteristic, complemented
13#22621911C211yesmaximal, characteristic, complemented
14#22621774C211yesmaximal, characteristic, complemented
15#22621769C211yesmaximal, characteristic, complemented
16#22621614C211yesmaximal, characteristic, complemented
17#22621449C211yesmaximal, characteristic, complemented
18#22621406C211yesmaximal, characteristic, complemented
19#22620656C211yesmaximal, characteristic, complemented
20#22620636C211yesmaximal, characteristic, complemented
21#22620623C211yesmaximal, characteristic, complemented
22#22620073C211yesmaximal, characteristic, complemented
23#22620067C211yesmaximal, characteristic, complemented
24#22620042C211yesmaximal, characteristic, complemented
25#22620036C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618742C211yesmaximal, characteristic, complemented
29#22618729C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#3115C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C2×D8×D73C2211yescharacteristic
35#17989323C2211yescharacteristic, complemented
36#17989309C2211yescharacteristic, complemented
37#17989300C2211yescharacteristic, complemented
38#17989298C2211yescharacteristic
39#17989298C2211yescharacteristic, complemented
40#17989296C2211yescharacteristic, complemented
41#17989286—21no—
42#17989284—21no—
43#17989284C2211yescharacteristic
44#17989284C2211yescharacteristic, complemented
45#17989278C2211yescharacteristic
46#17989276C2211yescharacteristic, complemented
47#17989270—21no—
48#17989267—21no—
49#17989267—21no—
50#17989266—21no—
51#17989261—21no—
52#17989236C2211yescharacteristic, complemented
53#17989234—21no—
54#17989234C2211yescharacteristic
55#17989234C2211yescharacteristic, complemented
56#17989232C2211yescharacteristic
57#17989225C2211yescharacteristic, complemented
58#17989222C2211yescharacteristic
59#17989141C2211yescharacteristic, complemented
60#17989124C2211yescharacteristic, complemented
61#17989121—21no—
62#17989121C2211yescharacteristic, complemented
63#17989119—21no—
64#17989119C2211yescharacteristic
65#17989119C2211yescharacteristic, complemented
66#17989117—21no—
67#17989096—21no—
68#17989094—21no—
69#17989094—21no—
70C4×#11924028C2211yescharacteristic
71C4×#11924028C2211yescharacteristic, complemented
72C4×#11924027C2211yescharacteristic, complemented
73C4×D4×D73—21no—
74C4×D4×D73C2211yescharacteristic
75C4×D4×D73C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic, complemented
77C2×#14556548—21no—
78#17988995C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988988C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic
83#17988968C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988951C2211yescharacteristic, complemented
86#17988949C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988929C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988916C2211yescharacteristic, complemented
96#17988912C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic
100#17988897C2211yescharacteristic, complemented
101#17988895C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic, complemented
105#17988888C2211yescharacteristic, complemented
106#17988886C2211yescharacteristic, complemented
107#17988885C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic
112#17988834C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988829C2211yescharacteristic, complemented
115#17988827C2211yescharacteristic, complemented
116#17988821C2211yescharacteristic, complemented
117#17988821C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic
119#17988814C2211yescharacteristic, complemented
120#17988814C2211yescharacteristic, complemented
121#17988813C2211yescharacteristic
122#17988810C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic, complemented
124#17988805C2211yescharacteristic
125#17988804C2211yescharacteristic, complemented
126#17988803C2211yescharacteristic
127#17988801C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988800C2211yescharacteristic, complemented
130#17988791C2211yescharacteristic, complemented
131#17988790C2211yescharacteristic, complemented
132#17988751C2211yescharacteristic, complemented
133#17988750C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic
135#17988739C2211yescharacteristic, complemented
136#17988736C2211yescharacteristic
137#17988736C2211yescharacteristic, complemented
138#17988734C2211yescharacteristic
139#17988729C2211yescharacteristic
140#17988722C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988699C2211yescharacteristic, complemented
146#17988698C2211yescharacteristic
147#17988697C2211yescharacteristic
148#17988697C2211yescharacteristic
149#17988697C2211yescharacteristic, complemented
150#17988697C2211yescharacteristic, complemented
151#17988696C2211yescharacteristic
152#17988696C2211yescharacteristic, complemented
153#17988695C2211yescharacteristic, complemented
154#17988692C2211yescharacteristic, complemented
155#17988692C2211yescharacteristic, complemented
156#17988689C2211yescharacteristic, complemented
157#17988689C2211yescharacteristic, complemented
158#17988687C2211yescharacteristic, complemented
159#17988687C2211yescharacteristic, complemented
160#17988687C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic
168#17988657C2211yescharacteristic
169#17988657C2211yescharacteristic
170#17988655C2211yescharacteristic, complemented
171#17988655C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988623C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181#17988583C2211yescharacteristic, complemented
182#17988581C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic, complemented
185#17988539C2211yescharacteristic, complemented
186C2×#14556502C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic, complemented
189C4×#41×C73C2211yescharacteristic, complemented
190#482×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#475×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#460×C73C2211yescharacteristic, complemented
195#459×C73C2211yescharacteristic
196#449×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924028D411yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×D4×D73—21no—
207C2×D4×D73C2311yescharacteristic
208C2×D4×D73C2311yescharacteristic
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211C22×C4×D73—21no—
212C22×C4×D73—21no—
213#14556615—24no—
214#14556611—24no—
215C2×Dic292C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227D8×D73—24no—
228C2×#11924011C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556589C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556585—21no—
239#14556585—21no—
240#14556585—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556583—21no—
247#14556583C2311yescharacteristic
248#14556582—21no—
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556580C2311yescharacteristic
255#14556579—21no—
256#14556579C2311yescharacteristic
257#14556578—21no—
258#14556578C2311yescharacteristic
259#14556578C2311yescharacteristic
260#14556577—21no—
261#14556576—21no—
262#14556576—21no—
263#14556575—21no—
264#14556574—21no—
265#14556574—21no—
266#14556574—21no—
267#14556573—21no—
268#14556573—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556572—21no—
273#14556572—21no—
274#14556572—21no—
275#14556572—21no—
276#14556572—21no—
277#14556571—21no—
278#14556571C2311yescharacteristic
279#14556571C2311yescharacteristic
280#14556571C2311yescharacteristic
281#14556570—21no—
282#14556570C2311yescharacteristic
283#14556569—21no—
284#14556569—21no—
285#14556568—21no—
286#14556568—21no—
287#14556567—21no—
288#14556567—21no—
289#14556567—21no—
290#14556567—21no—
291#14556567C2311yescharacteristic
292#14556567C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556565—21no—
295#14556565C2311yescharacteristic
296#14556564—21no—
297#14556563—21no—
298#14556563—21no—
299#14556562—21no—
300#14556562—21no—
301#14556562—21no—
302#14556562—21no—
303#14556562—21no—
304#14556562C2311yescharacteristic
305#14556562C2311yescharacteristic
306#14556561—21no—
307#14556559—21no—
308#14556559—21no—
309#14556559—21no—
310#14556559—21no—
311#14556559—21no—
312C4×Dic146—21no—
313C4×Dic146D411yescharacteristic
314C4×Dic146C2311yescharacteristic
315C4×Dic146C2311yescharacteristic
316C4×Dic146C2311yescharacteristic
317C4×Dic146C2311yescharacteristic
318#14556556C2311yescharacteristic
319C4×D292—21no—
320C4×D292D411yescharacteristic
321C4×D292C2311yescharacteristic
322C4×D292C2311yescharacteristic
323C4×D292C2311yescharacteristic
324C4×D292C2311yescharacteristic
325D4×Dic73—21no—
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329D4×Dic73C2311yescharacteristic
330#14556553—21no—
331#14556553C2311yescharacteristic
332#14556553C2311yescharacteristic
333#14556553C2311yescharacteristic
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73D411yescharacteristic
344C4×C22⋊D73D411yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556550—21no—
354#14556550—21no—
355#14556550D411yescharacteristic
356#14556550C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556548—21no—
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548—21no—
365#14556548—21no—
366#14556548D411yescharacteristic
367#14556548D411yescharacteristic
368#14556547—21no—
369C2×#11924007—21no—
370C2×#11924007—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C2×#11924005—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73—21no—
439C2×#41×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445#127×C73C2311yescharacteristic
446#124×C73—21no—
447#121×C73—21no—
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461C2×C42×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924028—22no—
485#11924028—41no—
486#11924028—42no—
487#11924027—22no—
488#11924027—41no—
489C2×Dic146—21no—
490C2×Dic146C2×D411yescharacteristic
491C2×Dic146C2411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×D292—21no—
494C2×D292C2×D411yescharacteristic
495C2×D292C2411yescharacteristic
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⋊D73C2×D411yescharacteristic
506C2×C22⋊D73C2×D411yescharacteristic
507D4×D73—22no—
508D4×D73—22no—
509D4×D73—22no—
510D4×D73—41no—
511D4×D73—41no—
512D4×D73—41no—
513D4×D73—44no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—44no—
530C2×C4×D73—82no—
531C2×C4×D73—82no—
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2×D411yescharacteristic
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2411yescharacteristic
537C2×C4×D73C2411yescharacteristic
538Dic292—41no—
539#11924018—22no—
540#11924017—22no—
541#11924017—41no—
542#11924016—22no—
543#11924016—22no—
544#11924016—41no—
545#11924015—22no—
546D584—22no—
547#11924013—22no—
548#11924013—41no—
549#11924013#4114yescomplemented
550#11924011—22no—
551#11924011—41no—
552C2×#10596831—22no—
553C2×#10596831—41no—
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C8×D73—22no—
559C8×D73—41no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2×D411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
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#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
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
642#41×C73—22no—
643#41×C73—41no—
644#41×C73—82no—
645C2×Q8×C73—21no—
646C2×Q8×C73C2411yescharacteristic
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73C2411yescharacteristic
653C2×D4×C73C2411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—21no—
660C22×C4×C73C2×D411yescharacteristic
661C22×C4×C73C2×D411yescharacteristic
662C22×C4×C73C2411yescharacteristic
663SD16×C73—41no—
664SD16×C73—41no—
665D8×C73—22no—
666D8×C73—22no—
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73C22×D411yescharacteristic
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—81no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—42no—
718D4×C73—42no—
719D4×C73—81no—
720D4×C73—81no—
721D4×C73—81no—
722D4×C73C2×#4112yes—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—41no—
731C2×C4×C73—41no—
732C2×C4×C73—42no—
733C2×C4×C73—42no—
734C2×C4×C73—42no—
735C2×C4×C73—42no—
736C2×C4×C73—81no—
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C2511yescharacteristic
743C22⋊D73—22no—
744C22⋊D73—41no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—81no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—42no—
760C2×Dic73—42no—
761C2×Dic73—81no—
762C2×Dic73—81no—
763C2×Dic73—81no—
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770D292—22no—
771D292—21no—
772D292—21no—
773D292—21no—
774D292—81no—
775D292C2×#4112yes—
776C4×D73—22no—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—21no—
780C4×D73—21no—
781C4×D73—41no—
782C4×D73—41no—
783C4×D73—41no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794Dic146—21no—
795Dic146—21no—
796Dic146—21no—
797Dic146—21no—
798Dic146—41no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73—21no—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831C2×#4112yes—
808C22×C73—21no—
809C22×C73—22no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73C23×D411yescharacteristic
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—21no—
824C2×D73—21no—
825C2×D73—22no—
826C2×D73—21no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—84no—
833C2×D73—84no—
834C2×D73—84no—
835C2×D73#57512yes—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73C22×#4111yescharacteristic
847C4×C73#58511yescharacteristic
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—42no—
862C2×C73—41no—
863C2×C73—81no—
864C2×C73—81no—
865C2×C73D4×#4111yescharacteristic
866C2×C73C2×#57511yescharacteristic
867C2×C73#358511yescharacteristic
868D73—22no—
869D73—41no—
870D73—42no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115D7311yescharacteristic, complemented
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×#135—731no—
906C22×D8—731no—
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—731no—
929#546—1461no—
930D42—731no—
931#533—731no—
932#532C2×D7311yescharacteristic, complemented
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41C2×D7311yescharacteristic, complemented
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×#117—1461no—
952#501—731no—
953#501—731no—
954#499—731no—
955#497—731no—
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482C2×D7311yescharacteristic, complemented
973#482C2×D7311yescharacteristic, complemented
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478—731no—
984#475C2×D7311yescharacteristic, complemented
985#474—731no—
986#474—731no—
987#474C2×D7311yescharacteristic, complemented
988#470—731no—
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463—731no—
1008#461—731no—
1009#461—731no—
1010#460C2×D7311yescharacteristic, complemented
1011#459C2×D7311yescharacteristic
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#449C2×D7311yescharacteristic, complemented
1021#449C2×D7311yescharacteristic, complemented
1022#447—731no—
1023#447—731no—
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442C2×D7311yescharacteristic, complemented
1036#442C2×D7311yescharacteristic, complemented
1037#441—731no—
1038#441—731no—
1039#441—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440C2×D7311yescharacteristic, complemented
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435—731no—
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432C2×D7311yescharacteristic, complemented
1063#428—731no—
1064#427—731no—
1065C2×#106—731no—
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416—731no—
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97—731no—
1075C2×#41—21no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C2×#41C22×D7311yescharacteristic
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088#135—1464no—
1089C2×Q16—731no—
1090C2×Q16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—1464no—
1104C2×D8C22×D7311yescharacteristic
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8C22×D7311yescharacteristic
1115#127C22×D7311yescharacteristic
1116#126—1461no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—731no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—21no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—731no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—731no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174#121—21no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121C22×D7311yescharacteristic
1189#121C22×D7311yescharacteristic
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—1461no—
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
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—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
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×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4C22×D7311yescharacteristic
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—21no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117C22×D7311yescharacteristic
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—21no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42C22×D7311yescharacteristic
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8C22×D7311yescharacteristic
1304C4⋊C8C22×D7311yescharacteristic
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8C22×D7311yescharacteristic
1342C22⋊C8C22×D7311yescharacteristic
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97C22×D7311yescharacteristic
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8—731no—
1353C24—1461no—
1354C24—1461no—
1355C24—1461no—
1356#41—22no—
1357#41—41no—
1358#41—82no—
1359#41—2921no—
1360#41—2922no—
1361#41—2921no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—21no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—731no—
1368C2×Q8—1461no—
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—2924no—
1376C2×D4—2921no—
1377C2×D4—2921no—
1378C2×D4—2921no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—731no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1462no—
1389C2×D4—1462no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1462no—
1395C2×D4—1461no—
1396C2×D4C23×D7311yescharacteristic
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—2924no—
1405C22×C4—5842no—
1406C22×C4—5842no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
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×C4D4×D7311yescharacteristic
1429C22×C4D4×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—2921no—
1432Q16—1462no—
1433SD16—41no—
1434SD16—41no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—22no—
1442D8—22no—
1443D8—2921no—
1444D8—734no—
1445D8—1462no—
1446D8—1462no—
1447M16—2921no—
1448M16—1462no—
1449C2×C8—2921no—
1450C2×C8—2921no—
1451C2×C8—731no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—1462no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
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⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
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—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
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—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42D4×D7311yescharacteristic
1561C42D4×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—2922no—
1571C23—2922no—
1572C23—2922no—
1573C23—5841no—
1574C23—5841no—
1575C23—5841no—
1576C23—731no—
1577C23—731no—
1578C23—1461no—
1579C23—1461no—
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—81no—
1584Q8—2921no—
1585Q8—5841no—
1586Q8—1461no—
1587Q8—1461no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—42no—
1596D4—42no—
1597D4—81no—
1598D4—81no—
1599D4—81no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2921no—
1606D4—2922no—
1607D4—2922no—
1608D4—5841no—
1609D4—5841no—
1610D4—732no—
1611D4—1462no—
1612D4—1462no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4#41×D7312yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2921no—
1636C2×C4—2921no—
1637C2×C4—2921no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—1462no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—732no—
1677C8—1461no—
1678C8—1461no—
1679C8—1461no—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—21no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—5844no—
1698C22—5844no—
1699C22—5844no—
1700C22—732no—
1701C22—1461no—
1702C22—1462no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22—1461no—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C2×#41×D7311yescharacteristic
1731C4#1798942311yescharacteristic
1732C2—41no—
1733C2—42no—
1734C2—81no—
1735C2—81no—
1736C2—2922no—
1737C2—2921no—
1738C2—5841no—
1739C2—1462no—
1740C2#2262341411yescharacteristic
1741C2#575×D7311yescharacteristic
1742C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3115C2
socleC22×C73C23×D4
hypercenter#3115D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3115

Complements

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

NH ≅ G/Ntype
1. #22623539C2semidirect
2. #22623493C2semidirect
3. #22622990C2semidirect
4. #22622884C2semidirect
5. #22622765C2semidirect
6. #22622677C2semidirect
7. #22622435C2semidirect
8. #22622383C2semidirect
9. #22622303C2semidirect
10. #22622085C2semidirect
11. #22622009C2semidirect
12. #22621959C2semidirect
13. #22621911C2semidirect
14. #22621774C2semidirect
15. #22621769C2semidirect
16. #22621614C2semidirect
17. #22621449C2semidirect
18. #22621406C2semidirect
19. #22620656C2semidirect
20. #22620636C2semidirect
21. #22620623C2semidirect
22. #22620073C2semidirect
23. #22620067C2semidirect
24. #22620042C2semidirect
25. #22620036C2semidirect
26. #22620028C2semidirect
27. #22618940C2semidirect
28. #22618742C2semidirect
29. #22618729C2semidirect
30. #442×D73C2semidirect
31. C73×#3115C2semidirect
35. #17989323C22semidirect
36. #17989309C22semidirect
37. #17989300C22semidirect
39. #17989298C22semidirect
40. #17989296C22semidirect
44. #17989284C22semidirect
46. #17989276C22semidirect
52. #17989236C22semidirect
55. #17989234C22semidirect
57. #17989225C22semidirect
59. #17989141C22semidirect
60. #17989124C22semidirect
62. #17989121C22semidirect
65. #17989119C22semidirect
71. C4×#11924028C22semidirect
72. C4×#11924027C22semidirect
75. C4×D4×D73C22semidirect
76. C4×D4×D73C22semidirect
78. #17988995C22semidirect
79. #17988993C22semidirect
80. #17988988C22semidirect
81. #17988978C22semidirect
83. #17988968C22semidirect
84. #17988954C22semidirect
85. #17988951C22semidirect
86. #17988949C22semidirect
87. #17988945C22semidirect
88. #17988943C22semidirect
89. #17988940C22semidirect
90. #17988931C22semidirect
91. #17988929C22semidirect
92. #17988924C22semidirect
93. #17988921C22semidirect
94. #17988919C22semidirect
95. #17988916C22semidirect
96. #17988912C22semidirect
97. #17988910C22semidirect
98. #17988902C22semidirect
100. #17988897C22semidirect
101. #17988895C22semidirect
102. #17988890C22semidirect
103. #17988889C22semidirect
104. #17988889C22semidirect
105. #17988888C22semidirect
106. #17988886C22semidirect
107. #17988885C22semidirect
108. #17988866C22semidirect
109. #17988865C22semidirect
110. #17988844C22semidirect
112. #17988834C22semidirect
113. #17988830C22semidirect
114. #17988829C22semidirect
115. #17988827C22semidirect
116. #17988821C22semidirect
117. #17988821C22semidirect
119. #17988814C22semidirect
120. #17988814C22semidirect
122. #17988810C22semidirect
123. #17988808C22semidirect
125. #17988804C22semidirect
127. #17988801C22semidirect
128. #17988800C22semidirect
129. #17988800C22semidirect
130. #17988791C22semidirect
131. #17988790C22semidirect
132. #17988751C22semidirect
133. #17988750C22semidirect
135. #17988739C22semidirect
137. #17988736C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
145. #17988699C22semidirect
149. #17988697C22semidirect
150. #17988697C22semidirect
152. #17988696C22semidirect
153. #17988695C22semidirect
154. #17988692C22semidirect
155. #17988692C22semidirect
156. #17988689C22semidirect
157. #17988689C22semidirect
158. #17988687C22semidirect
159. #17988687C22semidirect
160. #17988687C22semidirect
161. #17988687C22semidirect
162. #17988685C22semidirect
163. #17988685C22semidirect
164. #17988678C22semidirect
165. #17988674C22semidirect
166. D8×Dic73C22semidirect
170. #17988655C22semidirect
171. #17988655C22semidirect
172. #17988650C22semidirect
173. #17988650C22semidirect
174. #17988642C22semidirect
175. #17988642C22semidirect
176. #17988626C22semidirect
177. #17988623C22semidirect
178. #106×D73C22semidirect
179. #17988590C22semidirect
180. #17988585C22semidirect
181. #17988583C22semidirect
182. #17988581C22semidirect
184. #102×D73C22semidirect
185. #17988539C22semidirect
186. C2×#14556502C22semidirect
187. #97×D73C22semidirect
188. #532×C73C22semidirect
189. C4×#41×C73C22semidirect
190. #482×C73C22semidirect
191. #482×C73C22semidirect
192. #475×C73C22semidirect
193. #474×C73C22semidirect
194. #460×C73C22semidirect
196. #449×C73C22semidirect
197. #449×C73C22semidirect
198. #442×C73C22semidirect
199. #442×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
549. #11924013#41semidirect
893. #3115D73semidirect
903. C73#61454semidirect
932. #532C2×D73semidirect
946. C4×#41C2×D73semidirect
972. #482C2×D73semidirect
973. #482C2×D73semidirect
984. #475C2×D73semidirect
987. #474C2×D73semidirect
1010. #460C2×D73semidirect
1020. #449C2×D73semidirect
1021. #449C2×D73semidirect
1035. #442C2×D73semidirect
1036. #442C2×D73semidirect
1048. #440C2×D73semidirect
1049. #440C2×D73semidirect
1062. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235392
#226234932
#226229902
#226228842
#226227652
#226226772
#226224352
#226223832
#226223032
#226220852
#226220092
#226219592
#226219112
#226217742
#226217692
#226216142
#226214492
#226214062
#226206562
#226206362
#226206232
#226200732
#226200672
#226200422
#226200362
#226200282
#226189402
#226187422
#226187292
#442×D732
C73×#31152
#6145473