Finite Group Databasebeta

← #33970584

Subgroups — #33970584

Order 18688.

1940 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623959C211yesmaximal, characteristic, complemented
2#22623928C211yesmaximal, characteristic, complemented
3#22622902C211yesmaximal, characteristic, complemented
4#22622809C211yesmaximal, characteristic, complemented
5#22622661C211yesmaximal, characteristic, complemented
6#22622635C211yesmaximal, characteristic, complemented
7#22622537C211yesmaximal, characteristic, complemented
8#22622531C211yesmaximal, characteristic, complemented
9#22622524C211yesmaximal, characteristic, complemented
10#22622074C211yesmaximal, characteristic, complemented
11#22622067C211yesmaximal, characteristic, complemented
12#22621938C211yesmaximal, characteristic, complemented
13#22621877C211yesmaximal, characteristic, complemented
14#22621739C211yesmaximal, characteristic, complemented
15#22621551C211yesmaximal, characteristic, complemented
16#22621544C211yesmaximal, characteristic, complemented
17#22621544C211yesmaximal, characteristic, complemented
18#22620664C211yesmaximal, characteristic, complemented
19#22620580C211yesmaximal, characteristic, complemented
20#22620574C211yesmaximal, characteristic, complemented
21#22620172C211yesmaximal, characteristic, complemented
22#22620170C211yesmaximal, characteristic, complemented
23#22620137C211yesmaximal, characteristic, complemented
24#22620131C211yesmaximal, characteristic, complemented
25#22619984C211yesmaximal, characteristic, complemented
26#22619928C211yesmaximal, characteristic, complemented
27#22618928C211yesmaximal, characteristic, complemented
28#22618766C211yesmaximal, characteristic, complemented
29#22618762C211yesmaximal, characteristic, complemented
30#22618744C211yesmaximal, characteristic, complemented
31C73×#3309C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556616C2211yescharacteristic
34C2×#14556616C2211yescharacteristic
35#17989313C2211yescharacteristic, complemented
36#17989300C2211yescharacteristic
37#17989293C2211yescharacteristic
38#17989288—21no—
39#17989285C2211yescharacteristic
40#17989284—21no—
41#17989284C2211yescharacteristic, complemented
42#17989283—21no—
43#17989283C2211yescharacteristic, complemented
44#17989258C2211yescharacteristic
45#17989257—21no—
46#17989257C2211yescharacteristic, complemented
47#17989256C2211yescharacteristic, complemented
48#17989256C2211yescharacteristic, complemented
49#17989237—21no—
50#17989237C2211yescharacteristic, complemented
51#17989232—21no—
52#17989229—21no—
53#17989226—21no—
54D4×D292C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989221C2211yescharacteristic
57#17989193C2211yescharacteristic
58#17989191—21no—
59#17989191C2211yescharacteristic, complemented
60#17989190—21no—
61#17989190C2211yescharacteristic
62#17989190C2211yescharacteristic, complemented
63#17989176—21no—
64#17989173—21no—
65#17989132—21no—
66#17989132C2211yescharacteristic
67#17989132C2211yescharacteristic, complemented
68#17989117—21no—
69#17989117C2211yescharacteristic
70#17989096—21no—
71#121×D73—21no—
72#17989070C2211yescharacteristic, complemented
73#17989069C2211yescharacteristic, complemented
74#17989061C2211yescharacteristic
75#17989059C2211yescharacteristic
76#41×Dic73C2211yescharacteristic, complemented
77C2×#14556553C2211yescharacteristic
78#17988988C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988963C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988912C2211yescharacteristic, complemented
90#17988911C2211yescharacteristic, complemented
91#17988910C2211yescharacteristic, complemented
92#17988909C2211yescharacteristic, complemented
93#17988908C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic
103#17988887C2211yescharacteristic, complemented
104#17988886C2211yescharacteristic
105#17988884C2211yescharacteristic, complemented
106#17988880C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic
109#17988866C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988838C2211yescharacteristic, complemented
114#17988838C2211yescharacteristic, complemented
115#17988838C2211yescharacteristic, complemented
116#17988838C2211yescharacteristic, complemented
117#17988823C2211yescharacteristic, complemented
118#17988822C2211yescharacteristic, complemented
119#17988822C2211yescharacteristic, complemented
120#17988787C2211yescharacteristic, complemented
121#17988785C2211yescharacteristic, complemented
122#17988785C2211yescharacteristic, complemented
123#17988783C2211yescharacteristic, complemented
124#17988781C2211yescharacteristic
125#17988781C2211yescharacteristic
126#17988781C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic, complemented
129#17988780C2211yescharacteristic, complemented
130#17988779C2211yescharacteristic
131#17988735C2211yescharacteristic, complemented
132#17988735C2211yescharacteristic, complemented
133#17988732C2211yescharacteristic, complemented
134#17988732C2211yescharacteristic, complemented
135#17988723C2211yescharacteristic
136#17988723C2211yescharacteristic
137#17988720C2211yescharacteristic
138#17988720C2211yescharacteristic
139#17988719C2211yescharacteristic
140#17988719C2211yescharacteristic
141#17988715C2211yescharacteristic, complemented
142#17988711C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic
144#17988699C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic
147#17988696C2211yescharacteristic
148#17988696C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988696C2211yescharacteristic, complemented
151#17988690C2211yescharacteristic
152#17988690C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic, complemented
154SD16×Dic73C2211yescharacteristic, complemented
155C4×#11924015C2211yescharacteristic
156#17988672C2211yescharacteristic
157#17988672C2211yescharacteristic
158#17988672C2211yescharacteristic, complemented
159#17988672C2211yescharacteristic, complemented
160D8×Dic73C2211yescharacteristic, complemented
161#17988669C2211yescharacteristic
162#17988669C2211yescharacteristic, complemented
163C4×#11924013C2211yescharacteristic, complemented
164#17988667C2211yescharacteristic
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988665C2211yescharacteristic, complemented
171#17988662C2211yescharacteristic, complemented
172#17988662C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988637C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179#17988628C2211yescharacteristic, complemented
180#17988627C2211yescharacteristic, complemented
181#17988593C2211yescharacteristic
182#17988582C2211yescharacteristic, complemented
183C2×#14556513C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988544C2211yescharacteristic, complemented
186#17988542C2211yescharacteristic, complemented
187M16×Dic73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#550×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C22×D292C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C2×D4×D73—21no—
213C2×D4×D73—21no—
214C2×D4×D73C2311yescharacteristic
215C22×C4×D73—21no—
216#14556618—24no—
217#14556616—24no—
218#14556616—24no—
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924012C2311yescharacteristic
233C2×#11924012C2311yescharacteristic
234C2×#11924011C2311yescharacteristic
235C2×C8×D73C2311yescharacteristic
236#14556590—21no—
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556588C2311yescharacteristic
240#14556587—21no—
241#14556587—21no—
242#14556587C2311yescharacteristic
243#14556587C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556587C2311yescharacteristic
246#14556586—21no—
247#14556586—21no—
248#14556586D411yescharacteristic
249#14556584—21no—
250#14556584D411yescharacteristic
251#14556583—21no—
252#14556583C2311yescharacteristic
253#14556582—21no—
254#14556582C2311yescharacteristic
255#14556582C2311yescharacteristic
256#14556581D411yescharacteristic
257#14556579—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577D411yescharacteristic
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556575—21no—
266#14556575—21no—
267#14556575D411yescharacteristic
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#14556572D411yescharacteristic
277#14556571—21no—
278#14556569—21no—
279#14556569—21no—
280#14556568—21no—
281#14556568D411yescharacteristic
282#14556566—21no—
283#14556566—21no—
284#14556566—21no—
285#14556566C2311yescharacteristic
286#14556566C2311yescharacteristic
287#14556565—21no—
288#14556565—21no—
289#14556565—21no—
290#14556565—21no—
291#14556565C2311yescharacteristic
292#14556565C2311yescharacteristic
293#14556565C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563D411yescharacteristic
310#14556562—21no—
311#14556562—21no—
312#14556562—21no—
313#14556562—21no—
314#14556562—21no—
315#14556562—21no—
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556561—21no—
319#14556561—21no—
320#14556561—21no—
321#14556561—21no—
322#14556559—21no—
323#14556559—21no—
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327C4×Dic146—21no—
328C4×Dic146C2311yescharacteristic
329C4×D292—21no—
330C4×D292—21no—
331C4×D292—21no—
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343#14556553—21no—
344#14556553—21no—
345#14556553—21no—
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73C2311yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556550—21no—
366#14556550—21no—
367#14556550C2311yescharacteristic
368#14556550C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556548—21no—
371#14556548—21no—
372#14556548C2311yescharacteristic
373C2×C4⋊Dic73—21no—
374C2×C4⋊Dic73C2311yescharacteristic
375C4⋊C4×D73—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C2×#11924005—21no—
379C2×#11924005—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445#127×C73—21no—
446#127×C73C2311yescharacteristic
447#126×C73—21no—
448#125×C73C2311yescharacteristic
449#123×C73—21no—
450#121×C73—21no—
451#121×C73—21no—
452#121×C73—21no—
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×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
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—41no—
486#11924028—82no—
487#11924027—82no—
488#11924027—82no—
489#11924027—82no—
490#11924027—82no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×D292—22no—
495C2×D292—22no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—41no—
504C2×D292—41no—
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73C2×D411yescharacteristic
525C2×C22⋊D73C2×D411yescharacteristic
526D4×D73—22no—
527D4×D73—41no—
528D4×D73—82no—
529D4×D73—82no—
530D4×D73—82no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73C2×D411yescharacteristic
538C22×Dic73C2×D411yescharacteristic
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—82no—
552C2×C4×D73C2411yescharacteristic
553#11924015—22no—
554#11924015—22no—
555#11924015#4114yescomplemented
556D584—22no—
557D584—41no—
558D584—41no—
559#11924013—22no—
560#11924013—22no—
561#11924013—22no—
562#11924013—22no—
563#11924013—22no—
564#11924013—41no—
565#11924013—41no—
566#11924012—22no—
567#11924012—22no—
568#11924011—22no—
569C2×#10596831C2411yescharacteristic
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C8×D73—41no—
574C4⋊Dic73—21no—
575C4⋊Dic73—21no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73C2×D411yescharacteristic
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610C22⋊Dic73C2×D411yescharacteristic
611C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643#41×C73—22no—
644#41×C73—22no—
645#41×C73—41no—
646#41×C73—41no—
647C2×Q8×C73C2411yescharacteristic
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73—21no—
654C2×D4×C73—21no—
655C2×D4×C73—21no—
656C2×D4×C73C2×D411yescharacteristic
657C2×D4×C73C2411yescharacteristic
658C2×D4×C73C2411yescharacteristic
659C2×D4×C73C2411yescharacteristic
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73—21no—
663C22×C4×C73—21no—
664C22×C4×C73C2411yescharacteristic
665C22×C4×C73C2411yescharacteristic
666SD16×C73—22no—
667D8×C73—41no—
668D8×C73—41no—
669M16×C73—41no—
670C2×C8×C73—41no—
671C2×C8×C73C2411yescharacteristic
672C2×C8×C73C2411yescharacteristic
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C4⋊C4×C73—21no—
676C4⋊C4×C73—21no—
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73C2×D411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C4⋊C4×C73C2411yescharacteristic
682C4⋊C4×C73C2411yescharacteristic
683C4⋊C4×C73C2411yescharacteristic
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73C2×D411yescharacteristic
691C22⋊C4×C73C2×D411yescharacteristic
692C42×C73—21no—
693C42×C73—21no—
694C42×C73C2411yescharacteristic
695C23×C73—21no—
696C23×C73—21no—
697C23×C73—21no—
698C23×C73C22×D411yescharacteristic
699C23×C73C22×D411yescharacteristic
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—21no—
703C22×D73—21no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—42no—
707C22×D73—42no—
708C22×D73—81no—
709C22×D73—81no—
710C22×D73—81no—
711C22×D73—81no—
712C22×D73—81no—
713C22×D73C22×D411yescharacteristic
714Q8×C73—21no—
715Q8×C73C2×#4112yes—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—21no—
721D4×C73—21no—
722D4×C73—41no—
723D4×C73—42no—
724D4×C73—42no—
725D4×C73—42no—
726D4×C73—81no—
727D4×C73—81no—
728D4×C73—81no—
729D4×C73—81no—
730D4×C73—81no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—42no—
741C2×C4×C73—42no—
742C2×C4×C73—81no—
743C2×C4×C73—81no—
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C2511yescharacteristic
749C22⋊D73—22no—
750C22⋊D73—41no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C2×Dic73—22no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—41no—
772C2×Dic73—42no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785D292—21no—
786D292—21no—
787D292—21no—
788D292—21no—
789D292—21no—
790D292—21no—
791D292—21no—
792D292—42no—
793D292—42no—
794D292—42no—
795D292—81no—
796D292—81no—
797D292—81no—
798D292—81no—
799D292C2×#4112yes—
800C4×D73—21no—
801C4×D73—21no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813C4×D73—81no—
814Dic146—22no—
815Dic146—42no—
816Dic146—81no—
817C8×C73—21no—
818C8×C73—21no—
819C8×C73—21no—
820C8×C73—21no—
821#10596831—21no—
822#10596831—21no—
823#10596831—21no—
824#10596831C2×#4112yes—
825C22×C73—21no—
826C22×C73—21no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73C23×D411yescharacteristic
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—22no—
844C2×D73—21no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—84no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—22no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73C22×#4111yescharacteristic
869C4×C73#58511yescharacteristic
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73#57612yes—
881#61555—731nomaximal, Sylow
882C2×C73—41no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73D4×#4111yescharacteristic
888C2×C73C2×#57611yescharacteristic
889C2×C73#358511yescharacteristic
890D73—41no—
891D73—42no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3519—731no—
896#3517—731no—
897#3391—731no—
898#3381—731no—
899#3368—731no—
900#3366—731no—
901#3355—731no—
902#3355—731no—
903#3354—731no—
904#3318—731no—
905#3318—731no—
906#3309—731no—
907#3309D7311yescharacteristic, complemented
908#3305—731no—
909#3294—731no—
910#3274—731no—
911#3274—731no—
912#3274—731no—
913#3184—731no—
914#3176—731no—
915#3176—731no—
916#3122—731no—
917#3122—731no—
918#3119—731no—
919#3119—731no—
920#3106—731no—
921#3100—731no—
922#2969—731no—
923#2946—731no—
924#2946—731no—
925C4×AGL(1,ℤ/8)—731no—
926C73#6155511yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930#557—731no—
931#555—731no—
932#554—731no—
933#553—731no—
934#553—731no—
935#553—731no—
936#553—1461no—
937#553—1461no—
938#553—1461no—
939#553C2×D7311yescharacteristic
940#550—731no—
941#550—731no—
942#550—731no—
943#550—731no—
944#550—1461no—
945#550C2×D7311yescharacteristic, complemented
946#547—731no—
947#547—1461no—
948#546—1461no—
949#546—1461no—
950#546—1461no—
951D42—731no—
952D42—731no—
953D42—731no—
954#540—731no—
955#540—731no—
956#540—731no—
957#540—731no—
958#540—1461no—
959#540—1461no—
960#538—1461no—
961#538—1461no—
962#532—731no—
963#532—731no—
964#532—1461no—
965#529—731no—
966#529—1461no—
967#525—1461no—
968C2×#121—1461no—
969#520—731no—
970#520—731no—
971#518—731no—
972#518—731no—
973C4×#41—731no—
974C2×C4×D4—731no—
975#499—731no—
976#499—731no—
977#498—731no—
978#493—731no—
979#493—731no—
980#493—731no—
981#490—731no—
982#490—731no—
983#490—731no—
984#490C2×D7311yescharacteristic, complemented
985#486—731no—
986#486—731no—
987#482—731no—
988#482—731no—
989#482—731no—
990#482—731no—
991#482—731no—
992#482C2×D7311yescharacteristic, complemented
993#481—731no—
994#481—731no—
995#480—731no—
996#480—731no—
997#480—731no—
998#480C2×D7311yescharacteristic, complemented
999#479—731no—
1000#479C2×D7311yescharacteristic, complemented
1001#478—731no—
1002#478—731no—
1003#478—731no—
1004#478—731no—
1005#478—731no—
1006#478—731no—
1007#477—731no—
1008#476—731no—
1009#474—731no—
1010#474—731no—
1011#469—731no—
1012#469—731no—
1013#469—731no—
1014#469—731no—
1015#469—731no—
1016#469—731no—
1017#469—731no—
1018#469C2×D7311yescharacteristic, complemented
1019#466—731no—
1020#466—731no—
1021#466—731no—
1022#466C2×D7311yescharacteristic, complemented
1023#460—731no—
1024#460—731no—
1025#460—731no—
1026#459—731no—
1027#459—731no—
1028#459—731no—
1029#459—731no—
1030#459—731no—
1031#459—731no—
1032#459—731no—
1033#459—731no—
1034#459C2×D7311yescharacteristic, complemented
1035#449—731no—
1036#449—731no—
1037#449—731no—
1038#449—731no—
1039#449C2×D7311yescharacteristic, complemented
1040#449C2×D7311yescharacteristic, complemented
1041#447—731no—
1042#447—731no—
1043#447—731no—
1044#447—731no—
1045#447—731no—
1046#447—731no—
1047#446—731no—
1048C8×Q8—731no—
1049#442—731no—
1050#442—731no—
1051#442—731no—
1052#442—731no—
1053#442—731no—
1054#442—731no—
1055#442—731no—
1056#442—731no—
1057#440—731no—
1058#440—731no—
1059#440—731no—
1060#440C2×D7311yescharacteristic, complemented
1061C4×SD16—731no—
1062C4×SD16—731no—
1063C4×SD16—731no—
1064C4×SD16—731no—
1065C4×SD16—731no—
1066C4×SD16—731no—
1067C4×D8—731no—
1068C4×D8—731no—
1069C4×D8—731no—
1070C4×D8—731no—
1071C4×D8—731no—
1072C4×D8—731no—
1073C4×D8—731no—
1074C4×D8—731no—
1075C4×D8—731no—
1076C4×D8—731no—
1077#436—731no—
1078#436—731no—
1079#436—731no—
1080#435—731no—
1081#435C2×D7311yescharacteristic, complemented
1082C8×D4—731no—
1083#433—731no—
1084#433—731no—
1085#431—731no—
1086#428—731no—
1087#428—731no—
1088#428—731no—
1089#418—731no—
1090#417C2×D7311yescharacteristic, complemented
1091#416—731no—
1092#416C2×D7311yescharacteristic, complemented
1093C2×#102—731no—
1094C2×#102—731no—
1095#405—731no—
1096#405—731no—
1097C4×M16—731no—
1098C2×#41—731no—
1099C2×#41—1461no—
1100C2×#41—1461no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41C22×D7311yescharacteristic
1105C2×#41C22×D7311yescharacteristic
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—731no—
1109C22×D4—1461no—
1110C22×D4—1461no—
1111C22×D4—1461no—
1112C23×C4—1461no—
1113AGL(1,ℤ/8)—1464no—
1114AGL(1,ℤ/8)—1464no—
1115AGL(1,ℤ/8)—1464no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16C22×D7311yescharacteristic
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8—731no—
1123C2×D8—731no—
1124C2×D8—731no—
1125C2×D8—731no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8C22×D7311yescharacteristic
1131C2×D8C22×D7311yescharacteristic
1132C2×M16—731no—
1133C2×M16—731no—
1134C2×M16—731no—
1135C2×M16C22×D7311yescharacteristic
1136C22×C8—731no—
1137C22×C8C22×D7311yescharacteristic
1138C4⋊Q8—731no—
1139C4⋊Q8—731no—
1140C4⋊Q8—1461no—
1141#127—21no—
1142#127—731no—
1143#127—731no—
1144#127—731no—
1145#127—731no—
1146#127—731no—
1147#127—1461no—
1148#127—1461no—
1149#127C22×D7311yescharacteristic
1150#126—21no—
1151#126—731no—
1152#126—731no—
1153#126—1461no—
1154#126—1461no—
1155#126—1461no—
1156#125—731no—
1157#125—731no—
1158#125—731no—
1159#125—731no—
1160#125—1461no—
1161#125—1461no—
1162#125C22×D7311yescharacteristic
1163#124—731no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#123—21no—
1169#123—731no—
1170#123—731no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184C22⋊Q8—731no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189#121—21no—
1190#121—21no—
1191#121—21no—
1192#121—731no—
1193#121—731no—
1194#121—731no—
1195#121—731no—
1196#121—731no—
1197#121—731no—
1198#121—731no—
1199#121—731no—
1200#121—731no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121C22×D7311yescharacteristic
1229#121C22×D7311yescharacteristic
1230#121C22×D7311yescharacteristic
1231#121C22×D7311yescharacteristic
1232#120—1461no—
1233#120—1461no—
1234#120—1461no—
1235#120—1461no—
1236#120—1461no—
1237#120—1461no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—731no—
1241C4×Q8—731no—
1242C4×Q8—1461no—
1243C4×Q8C22×D7311yescharacteristic
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—731no—
1259C4×D4—731no—
1260C4×D4—731no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4C22×D7311yescharacteristic
1283C4×D4C22×D7311yescharacteristic
1284#117—731no—
1285#117—731no—
1286#117—731no—
1287#117—731no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292#117C22×D7311yescharacteristic
1293C2×C4⋊C4—731no—
1294C2×C4⋊C4—731no—
1295C2×C4⋊C4—1461no—
1296C2×C4⋊C4—1461no—
1297C2×C4⋊C4—1461no—
1298C2×C4⋊C4C22×D7311yescharacteristic
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—1461no—
1306#107—731no—
1307#107—731no—
1308#107—731no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107C22×D7311yescharacteristic
1313#107C22×D7311yescharacteristic
1314#106—731no—
1315#106—731no—
1316#106—731no—
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106—731no—
1321#106C22×D7311yescharacteristic
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8C22×D7311yescharacteristic
1328#103—731no—
1329#103C22×D7311yescharacteristic
1330#103C22×D7311yescharacteristic
1331#103C22×D7311yescharacteristic
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102C22×D7311yescharacteristic
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359#102C22×D7311yescharacteristic
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364C22⋊C8C22×D7311yescharacteristic
1365C22⋊C8C22×D7311yescharacteristic
1366#97—731no—
1367#97—731no—
1368#97—731no—
1369#97C22×D7311yescharacteristic
1370C4×C8—731no—
1371C4×C8—731no—
1372C4×C8—731no—
1373C4×C8—731no—
1374C4×C8—731no—
1375C4×C8—731no—
1376C24—1461no—
1377C24—1461no—
1378C24—1461no—
1379#41—22no—
1380#41—22no—
1381#41—41no—
1382#41—41no—
1383#41—2921no—
1384#41—5842no—
1385#41—5842no—
1386#41—5842no—
1387#41—5842no—
1388#41—5842no—
1389#41—1462no—
1390C2×Q8—731no—
1391C2×Q8—1461no—
1392C2×Q8—1461no—
1393C2×Q8C23×D7311yescharacteristic
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—2921no—
1403C2×D4—2921no—
1404C2×D4—2921no—
1405C2×D4—5842no—
1406C2×D4—5842no—
1407C2×D4—5842no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—1461no—
1415C2×D4—1462no—
1416C2×D4—1462no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1462no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4D4×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C2×D4C23×D7311yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—5842no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4—1461no—
1467C22×C4—1461no—
1468C22×C4—1461no—
1469C22×C4C23×D7311yescharacteristic
1470C22×C4C23×D7311yescharacteristic
1471SD16—22no—
1472SD16—734no—
1473SD16—1462no—
1474SD16—1462no—
1475D8—41no—
1476D8—41no—
1477D8—2921no—
1478D8—2921no—
1479D8—2921no—
1480D8—2921no—
1481D8—1462no—
1482D8—1462no—
1483D8—1462no—
1484D8—1462no—
1485D8—1462no—
1486D8—1462no—
1487M16—41no—
1488M16—1462no—
1489M16—1462no—
1490M16—1462no—
1491C2×C8—41no—
1492C2×C8—2921no—
1493C2×C8—731no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8C23×D7311yescharacteristic
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4D4×D7311yescharacteristic
1532C4⋊C4C23×D7311yescharacteristic
1533C4⋊C4C23×D7311yescharacteristic
1534C4⋊C4C23×D7311yescharacteristic
1535C4⋊C4C23×D7311yescharacteristic
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—731no—
1543C22⋊C4—731no—
1544C22⋊C4—731no—
1545C22⋊C4—731no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4D4×D7311yescharacteristic
1576C22⋊C4D4×D7311yescharacteristic
1577C42—21no—
1578C42—21no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42C23×D7311yescharacteristic
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—2922no—
1594C23—2922no—
1595C23—2922no—
1596C23—2922no—
1597C23—5841no—
1598C23—5841no—
1599C23—5841no—
1600C23—5841no—
1601C23—5841no—
1602C23—731no—
1603C23—1461no—
1604C23—1461no—
1605C23—1461no—
1606C23—1461no—
1607C23C2×D4×D7311yescharacteristic
1608C23C2×D4×D7311yescharacteristic
1609Q8—21no—
1610Q8—2922no—
1611Q8—5841no—
1612Q8—1462no—
1613Q8#41×D7312yes—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—41no—
1621D4—42no—
1622D4—42no—
1623D4—42no—
1624D4—81no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—81no—
1629D4—2922no—
1630D4—2922no—
1631D4—2922no—
1632D4—2922no—
1633D4—2922no—
1634D4—2922no—
1635D4—2921no—
1636D4—2922no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—732no—
1653D4—1462no—
1654D4—1461no—
1655D4—1461no—
1656D4—1461no—
1657D4—1461no—
1658D4—1461no—
1659D4—1461no—
1660D4—1461no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—42no—
1671C2×C4—42no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—2922no—
1675C2×C4—2922no—
1676C2×C4—2922no—
1677C2×C4—2922no—
1678C2×C4—2921no—
1679C2×C4—5841no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1462no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4C2×D4×D7311yescharacteristic
1708C2×C4C2×D4×D7311yescharacteristic
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C24×D7311yescharacteristic
1712C8—21no—
1713C8—21no—
1714C8—21no—
1715C8—21no—
1716C8—732no—
1717C8—1461no—
1718C8—1461no—
1719C8—1461no—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—5844no—
1747C22—11682no—
1748C22—11682no—
1749C22—1461no—
1750C22—1461no—
1751C22—1462no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—22no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—732no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4C2×#41×D7311yescharacteristic
1775C4#1798942211yescharacteristic
1776C2—41no—
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—2922no—
1782C2—2921no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262341511yescharacteristic
1787C2#576×D7311yescharacteristic
1788C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3309C2
socleC22×C73C23×D4
hypercenter#3309D73
hypocenterC73#61555
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #22623959C2semidirect
2. #22623928C2semidirect
3. #22622902C2semidirect
4. #22622809C2semidirect
5. #22622661C2semidirect
6. #22622635C2semidirect
7. #22622537C2semidirect
8. #22622531C2semidirect
9. #22622524C2semidirect
10. #22622074C2semidirect
11. #22622067C2semidirect
12. #22621938C2semidirect
13. #22621877C2semidirect
14. #22621739C2semidirect
15. #22621551C2semidirect
16. #22621544C2semidirect
17. #22621544C2semidirect
18. #22620664C2semidirect
19. #22620580C2semidirect
20. #22620574C2semidirect
21. #22620172C2semidirect
22. #22620170C2semidirect
23. #22620137C2semidirect
24. #22620131C2semidirect
25. #22619984C2semidirect
26. #22619928C2semidirect
27. #22618928C2semidirect
28. #22618766C2semidirect
29. #22618762C2semidirect
30. #22618744C2semidirect
31. C73×#3309C2semidirect
35. #17989313C22semidirect
41. #17989284C22semidirect
43. #17989283C22semidirect
46. #17989257C22semidirect
47. #17989256C22semidirect
48. #17989256C22semidirect
50. #17989237C22semidirect
59. #17989191C22semidirect
62. #17989190C22semidirect
67. #17989132C22semidirect
72. #17989070C22semidirect
73. #17989069C22semidirect
76. #41×Dic73C22semidirect
78. #17988988C22semidirect
79. #17988986C22semidirect
80. #17988984C22semidirect
81. #17988963C22semidirect
82. #17988962C22semidirect
83. #17988962C22semidirect
84. #17988952C22semidirect
85. #17988950C22semidirect
86. #17988950C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988912C22semidirect
90. #17988911C22semidirect
91. #17988910C22semidirect
92. #17988909C22semidirect
93. #17988908C22semidirect
94. #17988907C22semidirect
95. #17988906C22semidirect
96. #17988902C22semidirect
97. #17988900C22semidirect
98. #17988898C22semidirect
99. #17988892C22semidirect
100. #17988890C22semidirect
101. #17988889C22semidirect
103. #17988887C22semidirect
105. #17988884C22semidirect
106. #17988880C22semidirect
107. #17988875C22semidirect
109. #17988866C22semidirect
110. #17988840C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988838C22semidirect
114. #17988838C22semidirect
115. #17988838C22semidirect
116. #17988838C22semidirect
117. #17988823C22semidirect
118. #17988822C22semidirect
119. #17988822C22semidirect
120. #17988787C22semidirect
121. #17988785C22semidirect
122. #17988785C22semidirect
123. #17988783C22semidirect
126. #17988781C22semidirect
127. #17988781C22semidirect
128. #17988780C22semidirect
129. #17988780C22semidirect
131. #17988735C22semidirect
132. #17988735C22semidirect
133. #17988732C22semidirect
134. #17988732C22semidirect
141. #17988715C22semidirect
142. #17988711C22semidirect
144. #17988699C22semidirect
145. #17988698C22semidirect
148. #17988696C22semidirect
149. #17988696C22semidirect
150. #17988696C22semidirect
152. #17988690C22semidirect
153. #17988690C22semidirect
154. SD16×Dic73C22semidirect
158. #17988672C22semidirect
159. #17988672C22semidirect
160. D8×Dic73C22semidirect
162. #17988669C22semidirect
163. C4×#11924013C22semidirect
166. #17988667C22semidirect
167. #17988667C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
170. #17988665C22semidirect
171. #17988662C22semidirect
172. #17988662C22semidirect
173. #17988656C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988637C22semidirect
178. #17988630C22semidirect
179. #17988628C22semidirect
180. #17988627C22semidirect
182. #17988582C22semidirect
185. #17988544C22semidirect
186. #17988542C22semidirect
187. M16×Dic73C22semidirect
189. #550×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
193. #479×C73C22semidirect
194. #469×C73C22semidirect
195. #466×C73C22semidirect
196. #459×C73C22semidirect
197. #449×C73C22semidirect
198. #449×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. #416×C73C22semidirect
555. #11924015#41semidirect
907. #3309D73semidirect
926. C73#61555semidirect
945. #550C2×D73semidirect
984. #490C2×D73semidirect
992. #482C2×D73semidirect
998. #480C2×D73semidirect
1000. #479C2×D73semidirect
1018. #469C2×D73semidirect
1022. #466C2×D73semidirect
1034. #459C2×D73semidirect
1039. #449C2×D73semidirect
1040. #449C2×D73semidirect
1060. #440C2×D73semidirect
1081. #435C2×D73semidirect
1090. #417C2×D73semidirect
1092. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239592
#226239282
#226229022
#226228092
#226226612
#226226352
#226225372
#226225312
#226225242
#226220742
#226220672
#226219382
#226218772
#226217392
#226215512
#226215442
#226206642
#226205802
#226205742
#226201722
#226201702
#226201372
#226201312
#226199842
#226199282
#226189282
#226187662
#226187622
#226187442
C73×#33092
#6155573