Finite Group Databasebeta

← #33967972

Subgroups — #33967972

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#22623535C211yesmaximal, characteristic, complemented
2#22623498C211yesmaximal, characteristic, complemented
3#22623004C211yesmaximal, characteristic, complemented
4#22622884C211yesmaximal, characteristic, complemented
5#22622751C211yesmaximal, characteristic, complemented
6#22622691C211yesmaximal, characteristic, complemented
7#22622438C211yesmaximal, characteristic, complemented
8#22622384C211yesmaximal, characteristic, complemented
9#22622308C211yesmaximal, characteristic, complemented
10#22622084C211yesmaximal, characteristic, complemented
11#22622010C211yesmaximal, characteristic, complemented
12#22621956C211yesmaximal, characteristic, complemented
13#22621914C211yesmaximal, characteristic, complemented
14#22621779C211yesmaximal, characteristic, complemented
15#22621770C211yesmaximal, characteristic, complemented
16#22621609C211yesmaximal, characteristic, complemented
17#22621462C211yesmaximal, characteristic, complemented
18#22621415C211yesmaximal, characteristic, complemented
19#22620656C211yesmaximal, characteristic, complemented
20#22620634C211yesmaximal, characteristic, complemented
21#22620625C211yesmaximal, characteristic, complemented
22#22620080C211yesmaximal, characteristic, complemented
23#22620073C211yesmaximal, characteristic, complemented
24#22620071C211yesmaximal, characteristic, complemented
25#22620044C211yesmaximal, characteristic, complemented
26#22620038C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618736C211yesmaximal, characteristic, complemented
29#22618726C211yesmaximal, characteristic, complemented
30C2×#17988697C211yesmaximal, characteristic, complemented
31C73×#3110C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35#17989320C2211yescharacteristic, complemented
36#17989311C2211yescharacteristic, complemented
37#17989303C2211yescharacteristic, complemented
38#17989298C2211yescharacteristic, complemented
39#17989296C2211yescharacteristic, complemented
40#17989292C2211yescharacteristic
41#17989290—21no—
42#17989287C2211yescharacteristic, complemented
43#17989286—21no—
44#17989285C2211yescharacteristic
45#17989279C2211yescharacteristic
46#17989279C2211yescharacteristic, complemented
47#17989275—21no—
48#17989266—21no—
49#17989264—21no—
50#17989264—21no—
51#17989263—21no—
52#17989240C2211yescharacteristic, complemented
53#17989232C2211yescharacteristic, complemented
54#17989231C2211yescharacteristic
55#17989228C2211yescharacteristic
56#17989228C2211yescharacteristic, complemented
57#17989227—21no—
58D4×C22⋊D73C2211yescharacteristic
59#17989134C2211yescharacteristic, complemented
60#17989124—21no—
61#17989124—21no—
62#17989124C2211yescharacteristic, complemented
63#17989124C2211yescharacteristic, complemented
64#17989121C2211yescharacteristic
65#17989119C2211yescharacteristic, complemented
66#17989117—21no—
67#17989099—21no—
68#17989098—21no—
69#17989096—21no—
70C4×#11924029C2211yescharacteristic, complemented
71C4×#11924029C2211yescharacteristic, complemented
72C4×#11924028C2211yescharacteristic
73C4×#11924027C2211yescharacteristic, complemented
74C2×C4×D292C2211yescharacteristic, complemented
75C2×C4×C22⋊D73—21no—
76C4×D4×D73C2211yescharacteristic, complemented
77#117×D73—21no—
78#17988995C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988988C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic
83#17988968C2211yescharacteristic, complemented
84#17988955C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988949C2211yescharacteristic, complemented
87#17988948C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988918C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988901C2211yescharacteristic
100#17988896C2211yescharacteristic, complemented
101#17988893C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic, complemented
105#17988888C2211yescharacteristic, complemented
106#17988888C2211yescharacteristic, complemented
107#17988885C2211yescharacteristic, complemented
108#17988870C2211yescharacteristic, complemented
109#17988866C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic
112#17988834C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988826C2211yescharacteristic, complemented
115#17988826C2211yescharacteristic, complemented
116#17988824C2211yescharacteristic, complemented
117#17988822C2211yescharacteristic, complemented
118#17988819C2211yescharacteristic, complemented
119#17988818C2211yescharacteristic
120#17988818C2211yescharacteristic
121#17988813C2211yescharacteristic, complemented
122#17988812C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988805C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic
126#17988804C2211yescharacteristic
127#17988803C2211yescharacteristic, complemented
128#17988803C2211yescharacteristic, complemented
129#17988801C2211yescharacteristic, complemented
130#17988785C2211yescharacteristic, complemented
131#17988781C2211yescharacteristic
132#17988752C2211yescharacteristic, complemented
133#17988746C2211yescharacteristic, complemented
134#17988740C2211yescharacteristic, complemented
135#17988736C2211yescharacteristic, complemented
136#17988735C2211yescharacteristic, complemented
137#17988733C2211yescharacteristic
138#17988731C2211yescharacteristic
139#17988731C2211yescharacteristic, complemented
140#17988723C2211yescharacteristic
141#17988722C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic, complemented
145#17988700C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic
147#17988697C2211yescharacteristic
148#17988697C2211yescharacteristic
149#17988697C2211yescharacteristic
150#17988697C2211yescharacteristic, complemented
151#17988697C2211yescharacteristic, complemented
152#17988697C2211yescharacteristic, complemented
153#17988697C2211yescharacteristic, complemented
154#17988696C2211yescharacteristic
155#17988692C2211yescharacteristic, complemented
156#17988692C2211yescharacteristic, complemented
157#17988691C2211yescharacteristic, complemented
158#17988689C2211yescharacteristic, complemented
159#17988689C2211yescharacteristic, complemented
160#17988688C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic
168#17988657C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic
171#17988655C2211yescharacteristic
172#17988650C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988624C2211yescharacteristic, complemented
178C2×#14556522C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988587C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic
184C2×#14556511C2211yescharacteristic, complemented
185#17988539C2211yescharacteristic, complemented
186C2×#14556502C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#533×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic
190#484×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#474×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#461×C73C2211yescharacteristic, complemented
195#461×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic
197#450×C73C2211yescharacteristic
198#440×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028D411yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C22×C4×D73—21no—
213#14556618—24no—
214#14556612—24no—
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×D584C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×#11924013—24no—
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556587C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556585—21no—
244#14556584—21no—
245#14556584—21no—
246#14556583C2311yescharacteristic
247#14556582—21no—
248#14556582—21no—
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556580—21no—
254#14556580—21no—
255#14556580C2311yescharacteristic
256#14556580C2311yescharacteristic
257#14556579C2311yescharacteristic
258#14556578C2311yescharacteristic
259#14556577—21no—
260#14556577—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556575—21no—
269#14556575—21no—
270#14556575—21no—
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556573—21no—
275#14556573—21no—
276#14556572—21no—
277#14556571—21no—
278#14556571—21no—
279#14556571C2311yescharacteristic
280#14556570—21no—
281#14556570—21no—
282#14556570C2311yescharacteristic
283#14556569—21no—
284#14556568—21no—
285#14556568—21no—
286#14556567—21no—
287#14556567—21no—
288#14556567C2311yescharacteristic
289#14556567C2311yescharacteristic
290#14556566—21no—
291#14556566—21no—
292#14556566—21no—
293#14556566—21no—
294#14556566C2311yescharacteristic
295#14556566C2311yescharacteristic
296#14556566C2311yescharacteristic
297#14556565—21no—
298#14556565—21no—
299#14556565C2311yescharacteristic
300#14556564—21no—
301#14556564—21no—
302#14556563—21no—
303#14556563—21no—
304#14556562C2311yescharacteristic
305#14556562C2311yescharacteristic
306#14556561—21no—
307#14556561—21no—
308#14556561—21no—
309#14556560—21no—
310#14556560—21no—
311#14556559—21no—
312Q8×Dic73C2311yescharacteristic
313Q8×Dic73C2311yescharacteristic
314C4×Dic146D411yescharacteristic
315C4×Dic146C2311yescharacteristic
316C4×Dic146C2311yescharacteristic
317#14556556C2311yescharacteristic
318C4×D292—21no—
319C4×D292—21no—
320C4×D292—21no—
321C4×D292—21no—
322C4×D292—21no—
323C4×D292—21no—
324C4×D292D411yescharacteristic
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333#14556553—21no—
334#14556553—21no—
335#14556553C2311yescharacteristic
336#14556553C2311yescharacteristic
337#14556553C2311yescharacteristic
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73D411yescharacteristic
348C4×C22⋊D73D411yescharacteristic
349C4×C22⋊D73C2311yescharacteristic
350C4×C22⋊D73C2311yescharacteristic
351#14556551—21no—
352#14556551—21no—
353#14556550—21no—
354#14556550D411yescharacteristic
355#14556549—21no—
356#14556549—21no—
357#14556549—21no—
358#14556549—21no—
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556549C2311yescharacteristic
362#14556548—21no—
363#14556548—21no—
364#14556548—21no—
365#14556548D411yescharacteristic
366#14556548D411yescharacteristic
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370C2×C4⋊Dic73C2311yescharacteristic
371C2×#11924007—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73—21no—
374C4⋊C4×D73C2311yescharacteristic
375C2×C22⋊Dic73—21no—
376C2×#11924005—21no—
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C2×C4×Dic73—21no—
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
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
438C22×D4×C73C2311yescharacteristic
439C23×C4×C73—21no—
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#125×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450C4×Q8×C73—21no—
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C22⋊C4×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×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—
483#11924029—22no—
484#11924029—22no—
485#11924029—41no—
486#11924029—41no—
487#11924028—42no—
488#11924028—82no—
489#11924027—22no—
490#11924027—41no—
491C2×Dic146—21no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×D292—22no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—41no—
502C2×D292C2×D411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—44no—
514C2×C22⋊D73C2×D411yescharacteristic
515C2×C22⋊D73C2×D411yescharacteristic
516D4×D73—22no—
517D4×D73—41no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—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—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—44no—
534C2×C4×D73—82no—
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2×D411yescharacteristic
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2411yescharacteristic
540C2×C4×D73C2411yescharacteristic
541#11924018—22no—
542#11924018—41no—
543#11924017—22no—
544#11924017—41no—
545#11924015—22no—
546#11924015—41no—
547D584—22no—
548D584—41no—
549#11924013—22no—
550#11924013—22no—
551#11924013—22no—
552#11924013#4114yescomplemented
553#11924011—22no—
554#11924011—41no—
555C2×#10596831—22no—
556C2×#10596831—41no—
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C8×D73—22no—
562C8×D73—41no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73C2×D411yescharacteristic
600C22⋊Dic73C2×D411yescharacteristic
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C24×C73—21no—
643C2×Q8×C73—21no—
644C2×Q8×C73C2411yescharacteristic
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—22no—
647C2×D4×C73—21no—
648C2×D4×C73—41no—
649C2×D4×C73C2411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—82no—
657C22×C4×C73C2×D411yescharacteristic
658C22×C4×C73C2×D411yescharacteristic
659C22×C4×C73C2411yescharacteristic
660SD16×C73—22no—
661SD16×C73—22no—
662SD16×C73—41no—
663SD16×C73—41no—
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×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—42no—
695C23×C73—42no—
696C23×C73—81no—
697C23×C73C22×D411yescharacteristic
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713Q8×C73—81no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—42no—
718D4×C73C2×#4112yes—
719C2×C4×C73—22no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—41no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73—81no—
732C2×C4×C73—81no—
733C2×C4×C73—81no—
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C2511yescharacteristic
740C22⋊D73—22no—
741C22⋊D73—22no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—42no—
755C2×Dic73—42no—
756C2×Dic73—42no—
757C2×Dic73—81no—
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764D292—21no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—41no—
770D292—42no—
771D292—42no—
772D292—42no—
773D292—81no—
774D292—81no—
775D292—81no—
776D292C2×#4112yes—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—21no—
780C4×D73—21no—
781C4×D73—41no—
782C4×D73—41no—
783C4×D73—41no—
784C4×D73—41no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
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—21no—
810C22×C73—22no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—84no—
817C22×C73#57512yes—
818C22×C73C23×D411yescharacteristic
819C2×D73—21no—
820C2×D73—21no—
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—22no—
824C2×D73—21no—
825C2×D73—21no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—84no—
835C2×D73—84no—
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×C73—41no—
847C4×C73C22×#4111yescharacteristic
848C4×C73#58511yescharacteristic
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—22no—
862C2×C73—42no—
863C2×C73—81no—
864C2×C73D4×#4111yescharacteristic
865C2×C73C2×#57511yescharacteristic
866C2×C73#358511yescharacteristic
867D73—41no—
868D73—41no—
869D73—42no—
870D73—81no—
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#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110D7311yescharacteristic, complemented
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#533C2×D7311yescharacteristic, complemented
932#532—731no—
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×#41—731no—
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—1461no—
950C2×C4×D4C2×D7311yescharacteristic
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#484C2×D7311yescharacteristic, complemented
967#484C2×D7311yescharacteristic, complemented
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
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#475—731no—
985#474—731no—
986#474C2×D7311yescharacteristic, complemented
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#461C2×D7311yescharacteristic, complemented
1009#461C2×D7311yescharacteristic, complemented
1010#460—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450C2×D7311yescharacteristic
1017#450C2×D7311yescharacteristic
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
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#442—731no—
1036#442—731no—
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#440C2×D7311yescharacteristic, complemented
1047#440C2×D7311yescharacteristic, complemented
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—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C2×#41—1461no—
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—1461no—
1083C22×D4C22×D7311yescharacteristic
1084C23×C4—21no—
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×SD16C22×D7311yescharacteristic
1096C2×SD16C22×D7311yescharacteristic
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—731no—
1105C2×D8—1464no—
1106C2×M16—731no—
1107C2×M16—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8C22×D7311yescharacteristic
1114C4⋊Q8C22×D7311yescharacteristic
1115#127—731no—
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—21no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—731no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
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—21no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
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⋊Q8C22×D7311yescharacteristic
1173C22⋊Q8C22×D7311yescharacteristic
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
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#121—1461no—
1189#121—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—21no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×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—731no—
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#117—1461no—
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4C22×D7311yescharacteristic
1270C2×C22⋊C4—21no—
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—731no—
1278C2×C42—731no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42C22×D7311yescharacteristic
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107C22×D7311yescharacteristic
1288#107C22×D7311yescharacteristic
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#106—731no—
1298#106—731no—
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#103C22×D7311yescharacteristic
1314#103C22×D7311yescharacteristic
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#102—731no—
1332#102—731no—
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—21no—
1354C24—1461no—
1355C24—1461no—
1356#41—2922no—
1357#41—2921no—
1358#41—2921no—
1359#41—2921no—
1360#41—5842no—
1361#41—1462no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—21no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—1461no—
1368C2×Q8C23×D7311yescharacteristic
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—22no—
1371C2×D4—21no—
1372C2×D4—41no—
1373C2×D4—2921no—
1374C2×D4—2924no—
1375C2×D4—2921no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1462no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1462no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—82no—
1405C22×C4—2924no—
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—22no—
1434SD16—22no—
1435SD16—41no—
1436SD16—41no—
1437SD16—2921no—
1438SD16—2921no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—2921no—
1442D8—734no—
1443D8—1462no—
1444D8—1462no—
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—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
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—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
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—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—1461no—
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—42no—
1567C23—42no—
1568C23—81no—
1569C23—2922no—
1570C23—2922no—
1571C23—2922no—
1572C23—2922no—
1573C23—5841no—
1574C23—5841no—
1575C23—731no—
1576C23—731no—
1577C23—1461no—
1578C23—1461no—
1579C23—1461no—
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—81no—
1586Q8—2921no—
1587Q8—5841no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—42no—
1594D4—2922no—
1595D4—2921no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—732no—
1609D4—1462no—
1610D4—1462no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4#41×D7312yes—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2921no—
1638C2×C4—2921no—
1639C2×C4—2921no—
1640C2×C4—2921no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2922no—
1644C2×C4—2922no—
1645C2×C4—2922no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
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—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—84no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—5844no—
1698C22—5844no—
1699C22—1461no—
1700C22—1461no—
1701C22—1462no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22#1798938612yes—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
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—22no—
1733C2—42no—
1734C2—81no—
1735C2—2922no—
1736C2—2921no—
1737C2—2921no—
1738C2—5841no—
1739C2—5841no—
1740C2#2262341411yescharacteristic
1741C2C2×#1798938611yescharacteristic
1742C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3110C2
socleC22×C73C23×D4
hypercenter#3110D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3110

Complements

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

NH ≅ G/Ntype
1. #22623535C2semidirect
2. #22623498C2semidirect
3. #22623004C2semidirect
4. #22622884C2semidirect
5. #22622751C2semidirect
6. #22622691C2semidirect
7. #22622438C2semidirect
8. #22622384C2semidirect
9. #22622308C2semidirect
10. #22622084C2semidirect
11. #22622010C2semidirect
12. #22621956C2semidirect
13. #22621914C2semidirect
14. #22621779C2semidirect
15. #22621770C2semidirect
16. #22621609C2semidirect
17. #22621462C2semidirect
18. #22621415C2semidirect
19. #22620656C2semidirect
20. #22620634C2semidirect
21. #22620625C2semidirect
22. #22620080C2semidirect
23. #22620073C2semidirect
24. #22620071C2semidirect
25. #22620044C2semidirect
26. #22620038C2semidirect
27. #22618940C2semidirect
28. #22618736C2semidirect
29. #22618726C2semidirect
30. C2×#17988697C2semidirect
31. C73×#3110C2semidirect
35. #17989320C22semidirect
36. #17989311C22semidirect
37. #17989303C22semidirect
38. #17989298C22semidirect
39. #17989296C22semidirect
42. #17989287C22semidirect
46. #17989279C22semidirect
52. #17989240C22semidirect
53. #17989232C22semidirect
56. #17989228C22semidirect
59. #17989134C22semidirect
62. #17989124C22semidirect
63. #17989124C22semidirect
65. #17989119C22semidirect
70. C4×#11924029C22semidirect
71. C4×#11924029C22semidirect
73. C4×#11924027C22semidirect
74. C2×C4×D292C22semidirect
76. C4×D4×D73C22semidirect
78. #17988995C22semidirect
79. #17988993C22semidirect
80. #17988988C22semidirect
81. #17988979C22semidirect
83. #17988968C22semidirect
84. #17988955C22semidirect
85. #17988950C22semidirect
86. #17988949C22semidirect
87. #17988948C22semidirect
88. #17988943C22semidirect
89. #17988940C22semidirect
90. #17988930C22semidirect
91. #17988927C22semidirect
92. #17988918C22semidirect
93. #17988916C22semidirect
94. #17988914C22semidirect
95. #17988914C22semidirect
96. #17988910C22semidirect
97. #17988909C22semidirect
98. #17988902C22semidirect
100. #17988896C22semidirect
101. #17988893C22semidirect
102. #17988890C22semidirect
103. #17988890C22semidirect
104. #17988889C22semidirect
105. #17988888C22semidirect
106. #17988888C22semidirect
107. #17988885C22semidirect
108. #17988870C22semidirect
109. #17988866C22semidirect
110. #17988844C22semidirect
112. #17988834C22semidirect
113. #17988830C22semidirect
114. #17988826C22semidirect
115. #17988826C22semidirect
116. #17988824C22semidirect
117. #17988822C22semidirect
118. #17988819C22semidirect
121. #17988813C22semidirect
122. #17988812C22semidirect
123. #17988807C22semidirect
124. #17988805C22semidirect
127. #17988803C22semidirect
128. #17988803C22semidirect
129. #17988801C22semidirect
130. #17988785C22semidirect
132. #17988752C22semidirect
133. #17988746C22semidirect
134. #17988740C22semidirect
135. #17988736C22semidirect
136. #17988735C22semidirect
139. #17988731C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
144. #17988700C22semidirect
145. #17988700C22semidirect
150. #17988697C22semidirect
151. #17988697C22semidirect
152. #17988697C22semidirect
153. #17988697C22semidirect
155. #17988692C22semidirect
156. #17988692C22semidirect
157. #17988691C22semidirect
158. #17988689C22semidirect
159. #17988689C22semidirect
160. #17988688C22semidirect
161. #17988686C22semidirect
162. #17988685C22semidirect
163. #17988685C22semidirect
164. SD16×Dic73C22semidirect
165. #17988672C22semidirect
166. #17988669C22semidirect
168. #17988657C22semidirect
169. #17988657C22semidirect
172. #17988650C22semidirect
173. #17988650C22semidirect
174. #17988642C22semidirect
175. #17988642C22semidirect
176. #17988628C22semidirect
177. #17988624C22semidirect
178. C2×#14556522C22semidirect
179. #17988590C22semidirect
180. #17988587C22semidirect
181. #17988582C22semidirect
182. #17988580C22semidirect
184. C2×#14556511C22semidirect
185. #17988539C22semidirect
186. C2×#14556502C22semidirect
187. #97×D73C22semidirect
188. #533×C73C22semidirect
190. #484×C73C22semidirect
191. #484×C73C22semidirect
192. #474×C73C22semidirect
193. #474×C73C22semidirect
194. #461×C73C22semidirect
195. #461×C73C22semidirect
198. #440×C73C22semidirect
199. #440×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
552. #11924013#41semidirect
898. #3110D73semidirect
903. C73#61454semidirect
931. #533C2×D73semidirect
966. #484C2×D73semidirect
967. #484C2×D73semidirect
986. #474C2×D73semidirect
987. #474C2×D73semidirect
1008. #461C2×D73semidirect
1009. #461C2×D73semidirect
1046. #440C2×D73semidirect
1047. #440C2×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
#226235352
#226234982
#226230042
#226228842
#226227512
#226226912
#226224382
#226223842
#226223082
#226220842
#226220102
#226219562
#226219142
#226217792
#226217702
#226216092
#226214622
#226214152
#226206562
#226206342
#226206252
#226200802
#226200732
#226200712
#226200442
#226200382
#226189402
#226187362
#226187262
C2×#179886972
C73×#31102
#6145473