Finite Group Databasebeta

← #29470654

Subgroups — #29470654

Order 15104.

1888 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437702C211yesmaximal, characteristic
2Q8×#11745685C211yesmaximal, characteristic, complemented
3#21437152C211yesmaximal, characteristic, complemented
4#21437009C211yesmaximal, characteristic, complemented
5#21436905C211yesmaximal, characteristic, complemented
6#21436880C211yesmaximal, characteristic, complemented
7#21436588C211yesmaximal, characteristic, complemented
8#21436579C211yesmaximal, characteristic, complemented
9#21436483C211yesmaximal, characteristic, complemented
10#21436271C211yesmaximal, characteristic, complemented
11#21436264C211yesmaximal, characteristic, complemented
12#21436184C211yesmaximal, characteristic, complemented
13#21436175C211yesmaximal, characteristic, complemented
14#21435965C211yesmaximal, characteristic, complemented
15#21435918C211yesmaximal, characteristic, complemented
16#21435785C211yesmaximal, characteristic, complemented
17#21435601C211yesmaximal, characteristic, complemented
18#21435599C211yesmaximal, characteristic, complemented
19#21434811C211yesmaximal, characteristic, complemented
20#21434806C211yesmaximal, characteristic, complemented
21#21434803C211yesmaximal, characteristic, complemented
22#21434271C211yesmaximal, characteristic, complemented
23#21434256C211yesmaximal, characteristic, complemented
24#21434216C211yesmaximal, characteristic, complemented
25#21434196C211yesmaximal, characteristic, complemented
26#21434193C211yesmaximal, characteristic, complemented
27#21433105C211yesmaximal, characteristic, complemented
28#21432912C211yesmaximal, characteristic, complemented
29C2×#16837500C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3117C211yesmaximal, characteristic, complemented
32C2×#14273759C2211yescharacteristic
33C22×#11745671C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35#16838134C2211yescharacteristic
36Q8×Dic118C2211yescharacteristic, complemented
37#16838130—21no—
38#16838130C2211yescharacteristic, complemented
39#16838112—21no—
40#16838112C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic
42#16838108C2211yescharacteristic
43#16838107—21no—
44#16838107—21no—
45#16838107C2211yescharacteristic
46#16838107C2211yescharacteristic, complemented
47#16838105C2211yescharacteristic
48#16838104C2211yescharacteristic
49#16838103—21no—
50#16838077—21no—
51#16838075—21no—
52Q8×D236C2211yescharacteristic, complemented
53Q8×C22⋊D59C2211yescharacteristic
54Q8×C22⋊D59C2211yescharacteristic, complemented
55#16838045C2211yescharacteristic
56#16838044—21no—
57#16838043C2211yescharacteristic
58#16838036C2211yescharacteristic
59#16837959—21no—
60#16837959C2211yescharacteristic, complemented
61#16837956—21no—
62#16837956—21no—
63#16837956C2211yescharacteristic, complemented
64#16837956C2211yescharacteristic, complemented
65#16837949C2211yescharacteristic
66#16837939C2211yescharacteristic
67#16837930—21no—
68#16837914—21no—
69#16837911—21no—
70C4×#11745689C2211yescharacteristic
71C4×#11745685—21no—
72C4×#11745685C2211yescharacteristic
73C4×Q8×D59C2211yescharacteristic, complemented
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×C4×D236C2211yescharacteristic
76C4×D4×D59—21no—
77C4×D4×D59C2211yescharacteristic
78#16837812C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837806C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837795C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic
84#16837772C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837761C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic
90#16837746C2211yescharacteristic, complemented
91#16837742C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837738C2211yescharacteristic, complemented
94#16837738C2211yescharacteristic, complemented
95#16837736C2211yescharacteristic, complemented
96#16837736C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic
98#16837717C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837696C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837695C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic
106#16837683C2211yescharacteristic
107#16837683C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic
109#16837680C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837641C2211yescharacteristic, complemented
116#16837641C2211yescharacteristic, complemented
117#16837640C2211yescharacteristic, complemented
118#16837634C2211yescharacteristic
119#16837632C2211yescharacteristic
120#16837629C2211yescharacteristic
121#16837629C2211yescharacteristic
122#16837627C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837610C2211yescharacteristic, complemented
125#16837608C2211yescharacteristic
126#16837608C2211yescharacteristic, complemented
127#16837606C2211yescharacteristic
128#16837606C2211yescharacteristic
129#16837605C2211yescharacteristic, complemented
130#16837601C2211yescharacteristic
131#16837600C2211yescharacteristic
132#16837567C2211yescharacteristic
133#16837563C2211yescharacteristic
134#16837556C2211yescharacteristic, complemented
135#16837555C2211yescharacteristic
136#16837555C2211yescharacteristic
137#16837554C2211yescharacteristic
138#16837551C2211yescharacteristic
139#16837542C2211yescharacteristic
140#16837542C2211yescharacteristic, complemented
141#16837539C2211yescharacteristic, complemented
142#16837531C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837507C2211yescharacteristic, complemented
145#16837507C2211yescharacteristic, complemented
146#16837505C2211yescharacteristic
147#16837504C2211yescharacteristic
148#16837504C2211yescharacteristic
149#16837504C2211yescharacteristic, complemented
150#16837504C2211yescharacteristic, complemented
151#16837503C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic, complemented
153#16837502C2211yescharacteristic, complemented
154#16837501C2211yescharacteristic
155#16837500C2211yescharacteristic
156#16837500C2211yescharacteristic
157#16837500C2211yescharacteristic
158#16837500C2211yescharacteristic
159#16837500C2211yescharacteristic, complemented
160#16837500C2211yescharacteristic, complemented
161#16837500C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164Q16×Dic59C2211yescharacteristic, complemented
165#16837494C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic
167#16837487C2211yescharacteristic
168#16837472C2211yescharacteristic, complemented
169#16837472C2211yescharacteristic, complemented
170#16837470C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic
173(C22⋊D59)⋊C8C2211yescharacteristic
174#16837457C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837441C2211yescharacteristic, complemented
177C2×#14273660C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837409C2211yescharacteristic, complemented
180#16837402C2211yescharacteristic
181C2×#14273651C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183C2×#14273647C2211yescharacteristic
184#102×D59C2211yescharacteristic
185#16837354C2211yescharacteristic, complemented
186C2×#14273638C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic
189C2×C4×Q8×C59C2211yescharacteristic, complemented
190C59×#484C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic
192C59×#479C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#451C2211yescharacteristic, complemented
197C59×#448C2211yescharacteristic
198C59×#441C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685D411yescharacteristic
206C2×Q8×D59C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212C22×C4×D59—21no—
213#14273759—24no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671—24no—
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227SD16×D59—24no—
228C2×#11745659C2311yescharacteristic
229C2×#11745659C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234#14273727—21no—
235#14273727—21no—
236#14273727C2311yescharacteristic
237#14273727C2311yescharacteristic
238#14273726—21no—
239#14273726—21no—
240#14273726C2311yescharacteristic
241#14273726C2311yescharacteristic
242#14273726C2311yescharacteristic
243#14273725—21no—
244#14273725—21no—
245#14273725C2311yescharacteristic
246#14273725C2311yescharacteristic
247#14273723C2311yescharacteristic
248#14273722—21no—
249#14273722—21no—
250#14273720—21no—
251#14273719—21no—
252#14273719—21no—
253#14273719—21no—
254#14273718C2311yescharacteristic
255#14273717—21no—
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273717—21no—
261#14273717—21no—
262#14273716C2311yescharacteristic
263#14273713—21no—
264#14273713—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273711—21no—
269#14273711—21no—
270#14273709—21no—
271#14273709—21no—
272#14273707—21no—
273#14273707—21no—
274#14273707—21no—
275#14273707—21no—
276#14273707C2311yescharacteristic
277#14273707C2311yescharacteristic
278#14273706—21no—
279#14273706—21no—
280#14273706—21no—
281#14273706—21no—
282#14273706—21no—
283#14273706C2311yescharacteristic
284#14273706C2311yescharacteristic
285#14273705—21no—
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273705—21no—
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273704—21no—
294#14273703—21no—
295#14273703—21no—
296#14273703C2311yescharacteristic
297#14273703C2311yescharacteristic
298#14273703C2311yescharacteristic
299#14273702—21no—
300#14273702—21no—
301#14273702C2311yescharacteristic
302#14273702C2311yescharacteristic
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273699—21no—
307#14273698C2311yescharacteristic
308#14273697—21no—
309#14273697—21no—
310#14273697—21no—
311#14273695—21no—
312Q8×Dic59C2311yescharacteristic
313Q8×Dic59C2311yescharacteristic
314Q8×Dic59C2311yescharacteristic
315C4×Dic118—21no—
316C4×Dic118—21no—
317C4×Dic118—21no—
318C4×Dic118—21no—
319C4×Dic118—21no—
320C4×Dic118—21no—
321C4×Dic118—21no—
322C4×Dic118D411yescharacteristic
323C4×Dic118C2311yescharacteristic
324C4×Dic118C2311yescharacteristic
325C4×Dic118C2311yescharacteristic
326#14273692—21no—
327#14273692—21no—
328#14273692C2311yescharacteristic
329#14273692C2311yescharacteristic
330C4×D236—21no—
331C4×D236—21no—
332C4×D236—21no—
333C4×D236—21no—
334C4×D236—21no—
335C4×D236—21no—
336C4×D236D411yescharacteristic
337C4×D236C2311yescharacteristic
338C4×D236C2311yescharacteristic
339C4×D236C2311yescharacteristic
340C4×D236C2311yescharacteristic
341C4×D236C2311yescharacteristic
342D4×Dic59—21no—
343D4×Dic59C2311yescharacteristic
344#14273689—21no—
345#14273689—21no—
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59D411yescharacteristic
355C4×C22⋊D59D411yescharacteristic
356C4×C22⋊D59C2311yescharacteristic
357C4×C22⋊D59C2311yescharacteristic
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361#14273686—21no—
362#14273686D411yescharacteristic
363#14273685—21no—
364#14273685C2311yescharacteristic
365#14273684—21no—
366#14273684—21no—
367#14273684—21no—
368#14273684D411yescharacteristic
369#14273684D411yescharacteristic
370C2×C4⋊Dic59C2311yescharacteristic
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59C2311yescharacteristic
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C2×(C2×D59)⋊C4—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C42×D59—21no—
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C22×Q8×C59C2311yescharacteristic
439C2×Q16×C59C2311yescharacteristic
440C2×Q16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443#126×C59—21no—
444#125×C59C2311yescharacteristic
445#124×C59C2311yescharacteristic
446#123×C59—21no—
447C22⋊Q8×C59C2311yescharacteristic
448#121×C59C2311yescharacteristic
449C4×Q8×C59—21no—
450C4×Q8×C59—21no—
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×Q8×C59C2311yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458#117×C59—21no—
459C2×C4⋊C4×C59—21no—
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C42×C59—21no—
462C2×C42×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59—22no—
485C2×Q8×C59—41no—
486C2×Q8×C59C2411yescharacteristic
487C2×Q8×C59C2411yescharacteristic
488C2×Q8×C59C2411yescharacteristic
489C2×D4×C59—21no—
490C2×D4×C59C2411yescharacteristic
491C22×C4×C59—21no—
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59C2×D411yescharacteristic
495C22×C4×C59C2×D411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C2×C22⋊D59—21no—
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59C2×D411yescharacteristic
502C2×C22⋊D59C2×D411yescharacteristic
503C22×Dic59—21no—
504C22×Dic59—21no—
505#11745689—22no—
506#11745689—41no—
507Q8×D59—22no—
508Q8×D59—22no—
509Q8×D59—41no—
510Q8×D59—41no—
511D4×D59—22no—
512D4×D59—41no—
513D4×D59—44no—
514#11745685—24no—
515#11745685—82no—
516C2×D236—22no—
517C2×D236—21no—
518C2×D236—21no—
519C2×D236—21no—
520C2×D236—21no—
521C2×D236—41no—
522C2×D236C2×D411yescharacteristic
523C2×D236C2411yescharacteristic
524C2×D236C2411yescharacteristic
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59—21no—
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—82no—
538C2×C4×D59—82no—
539C2×C4×D59C2×D411yescharacteristic
540C2×C4×D59C2×D411yescharacteristic
541C2×C4×D59C2×D411yescharacteristic
542C2×C4×D59C2×D411yescharacteristic
543C2×C4×D59C2411yescharacteristic
544C2×C4×D59C2411yescharacteristic
545C2×Dic118—21no—
546C2×Dic118—21no—
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118—21no—
551C2×Dic118C2×D411yescharacteristic
552C2×Dic118C2411yescharacteristic
553C2×Dic118C2411yescharacteristic
554Q16×C59—22no—
555Q16×C59—41no—
556SD16×C59—22no—
557SD16×C59—41no—
558C2×C8×C59C2411yescharacteristic
559C2×C8×C59C2411yescharacteristic
560C2×C8×C59C2411yescharacteristic
561C2×C8×C59C2411yescharacteristic
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59C2411yescharacteristic
572C4⋊C4×C59C2411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C22⋊C4×C59—21no—
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C42×C59—21no—
581C42×C59—21no—
582C42×C59—21no—
583C42×C59—21no—
584C42×C59—21no—
585C42×C59C2×D411yescharacteristic
586C42×C59C2×D411yescharacteristic
587C42×C59C2411yescharacteristic
588C42×C59C2411yescharacteristic
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59C2×D411yescharacteristic
594C22⋊Dic59C2×D411yescharacteristic
595#11745672—22no—
596#11745672—41no—
597#11745671—22no—
598#11745671—22no—
599#11745671—22no—
600#11745671#4114yescomplemented
601#11745670—22no—
602#11745670—41no—
603(C2×D59)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4C2×D411yescharacteristic
620(C2×D59)⋊C4C2×D411yescharacteristic
621(C2×D59)⋊C4C2×D411yescharacteristic
622(C2×D59)⋊C4C2×D411yescharacteristic
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59C2×D411yescharacteristic
634C4⋊Dic59C2×D411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638C4⋊Dic59C2411yescharacteristic
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4C2×D411yescharacteristic
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2411yescharacteristic
676C4×Dic59C2411yescharacteristic
677C2×C59⋊C8—22no—
678C2×C59⋊C8—41no—
679C2×C59⋊C8C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683#11745660—22no—
684#11745660—22no—
685#11745660—41no—
686#11745660—41no—
687#11745659—22no—
688#11745659—41no—
689C8×D59—22no—
690C8×D59—41no—
691C23×C59—21no—
692C23×C59C22×D411yescharacteristic
693C22×D59—21no—
694C22×D59—21no—
695C22×D59—42no—
696C22×D59—42no—
697C22×D59—42no—
698C22×D59—42no—
699C22×D59—81no—
700C22×D59—81no—
701C22×D59C22×D411yescharacteristic
702C22×D59C22×D411yescharacteristic
703Q8×C59—21no—
704Q8×C59—21no—
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—42no—
709Q8×C59C2×#4112yes—
710D4×C59—21no—
711D4×C59—21no—
712D4×C59—42no—
713C2×C4×C59—22no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—41no—
724C2×C4×C59—42no—
725C2×C4×C59—42no—
726C2×C4×C59—81no—
727C2×C4×C59C22×D411yescharacteristic
728C2×C4×C59C22×D411yescharacteristic
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C2511yescharacteristic
733C22⋊D59—22no—
734C22⋊D59—42no—
735C22⋊D59—42no—
736C22⋊D59—81no—
737C22⋊D59—81no—
738C22⋊D59#13714yescomplemented
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—81no—
746C2×Dic59—81no—
747C2×Dic59C22×D411yescharacteristic
748C2×Dic59C22×D411yescharacteristic
749C2×Dic59C22×D411yescharacteristic
750C2×Dic59C22×D411yescharacteristic
751C2×Dic59C22×D411yescharacteristic
752C2×Dic59C22×D411yescharacteristic
753D236—22no—
754D236—21no—
755D236—21no—
756D236—21no—
757D236—42no—
758D236—42no—
759D236—42no—
760D236—81no—
761D236C2×#4112yes—
762C4×D59—22no—
763C4×D59—21no—
764C4×D59—21no—
765C4×D59—21no—
766C4×D59—21no—
767C4×D59—22no—
768C4×D59—41no—
769C4×D59—41no—
770C4×D59—42no—
771C4×D59—42no—
772C4×D59—42no—
773C4×D59—42no—
774C4×D59—42no—
775C4×D59—42no—
776C4×D59—81no—
777C4×D59—81no—
778C4×D59—81no—
779C4×D59—81no—
780C4×D59—81no—
781C4×D59—81no—
782Dic118—22no—
783Dic118—21no—
784Dic118—21no—
785Dic118—21no—
786Dic118—21no—
787Dic118—42no—
788Dic118—42no—
789Dic118—81no—
790Dic118—81no—
791Dic118—81no—
792Dic118—81no—
793C8×C59—21no—
794C8×C59—21no—
795C8×C59—21no—
796C8×C59—21no—
797C59⋊C8—21no—
798C59⋊C8—21no—
799C59⋊C8—21no—
800C59⋊C8C2×#4112yes—
801#61453—591nomaximal, Sylow
802C22×C59—21no—
803C22×C59—21no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59C2×#13712yes—
808C22×C59C23×D411yescharacteristic
809C2×D59—21no—
810C2×D59—21no—
811C2×D59—21no—
812C2×D59—21no—
813C2×D59—22no—
814C2×D59—21no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—84no—
821C2×D59—84no—
822C2×D59C2×#13712yes—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—22no—
826C4×C59—21no—
827C4×C59—21no—
828C4×C59—21no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59C22×#4111yescharacteristic
836C4×C59#58511yescharacteristic
837Dic59—21no—
838Dic59—21no—
839Dic59—21no—
840Dic59—21no—
841Dic59—21no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59C2×#13712yes—
849#3481—591no—
850Q8×#41—591no—
851#3400—591no—
852#3385—591no—
853#3375—591no—
854#3372—591no—
855#3346—591no—
856#3346—591no—
857#3338—591no—
858#3320—591no—
859#3320—591no—
860#3314—591no—
861#3314—591no—
862#3299—591no—
863#3295—591no—
864D4×SD16—591no—
865#3266—591no—
866#3266—591no—
867#3182—591no—
868#3181—591no—
869#3181—591no—
870#3117—591no—
871#3117D5911yescharacteristic, complemented
872#3116—591no—
873#3112—591no—
874#3110—591no—
875#3110—591no—
876#2970—591no—
877C4×#137—591no—
878C2×#440—591no—
879C2×#440—591no—
880C2×C59—22no—
881C2×C59—81no—
882C2×C59D4×#4111yescharacteristic
883C2×C59C22×#13711yescharacteristic
884C2×C59#358511yescharacteristic
885D59—22no—
886D59—41no—
887D59—42no—
888D59—81no—
889C2×#137—591no—
890C22×SD16—591no—
891C22×SD16—591no—
892#559—591no—
893Q82—591no—
894#557—591no—
895#557—1181no—
896#554—591no—
897#554—591no—
898#554—591no—
899#554—591no—
900#554—591no—
901#554—1181no—
902#554—1181no—
903#554—1181no—
904#553—591no—
905#553—591no—
906#553—1181no—
907#551—1181no—
908#551—1181no—
909D4×Q8—591no—
910D4×Q8—591no—
911D4×Q8—591no—
912#546—591no—
913#546—591no—
914#546—1181no—
915D42—591no—
916#533—591no—
917#533—591no—
918#533—591no—
919#533—1181no—
920#533—1181no—
921#533—1181no—
922#532—591no—
923#529—591no—
924#529—1181no—
925#529C2×D5911yescharacteristic
926#525—1181no—
927#525—1181no—
928C4×#41—591no—
929C4×#41—591no—
930C4×#41—1181no—
931C2×C4×Q8—591no—
932C2×C4×Q8—591no—
933C2×C4×Q8C2×D5911yescharacteristic, complemented
934C2×C4×D4—591no—
935C2×C4×D4—591no—
936C2×C4×D4—1181no—
937#501—591no—
938#501—591no—
939#500—591no—
940#497—591no—
941#497—591no—
942#492—591no—
943#491—591no—
944#491—591no—
945#489—591no—
946#489—591no—
947#487—591no—
948#486—591no—
949#485—591no—
950#485—591no—
951#484—591no—
952#484—591no—
953#484—591no—
954#484—591no—
955#484—591no—
956#484C2×D5911yescharacteristic, complemented
957#481—591no—
958#481C2×D5911yescharacteristic
959#480—591no—
960#480—591no—
961#479—591no—
962#479—591no—
963#479C2×D5911yescharacteristic, complemented
964#479C2×D5911yescharacteristic, complemented
965#477—591no—
966#477—591no—
967#477—591no—
968#476—591no—
969#474—591no—
970#474—591no—
971#474—591no—
972#474—591no—
973#468—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#467—591no—
978#467—591no—
979#467—591no—
980#467—591no—
981#465—591no—
982#465—591no—
983#465—591no—
984#465—591no—
985#464—591no—
986#464—591no—
987#464C2×D5911yescharacteristic, complemented
988#464C2×D5911yescharacteristic, complemented
989#462—591no—
990#461—591no—
991#461—591no—
992#461—591no—
993#461—591no—
994#461—591no—
995#460—591no—
996#460—591no—
997#452—591no—
998#452—591no—
999#451—591no—
1000#451C2×D5911yescharacteristic, complemented
1001#450—591no—
1002#450—591no—
1003#450—591no—
1004#450—591no—
1005#448—591no—
1006#448—591no—
1007#448—591no—
1008#448C2×D5911yescharacteristic
1009#446—591no—
1010#446—591no—
1011#441—591no—
1012#441—591no—
1013#441C2×D5911yescharacteristic, complemented
1014#441C2×D5911yescharacteristic, complemented
1015#440—591no—
1016#440—591no—
1017#440—591no—
1018#440—591no—
1019#440—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440—591no—
1025#440—591no—
1026#440—591no—
1027#440—591no—
1028#440—591no—
1029#440—591no—
1030#440—591no—
1031#440—591no—
1032#440—591no—
1033#440C2×D5911yescharacteristic, complemented
1034#440C2×D5911yescharacteristic, complemented
1035C4×Q16—591no—
1036C4×Q16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#435—591no—
1043C8×D4—591no—
1044C8×D4—591no—
1045#432—591no—
1046#432—591no—
1047#432C2×D5911yescharacteristic, complemented
1048#428—591no—
1049C2×#107—591no—
1050C2×#107—591no—
1051#419—591no—
1052#417—591no—
1053C2×#103—591no—
1054C2×#103—591no—
1055C2×#102—591no—
1056C2×#102—591no—
1057C4×M16—591no—
1058C2×#97—591no—
1059C2×#97—591no—
1060C59#6145311yescharacteristic, complemented, Sylow
1061C2×#41—591no—
1062C2×#41—591no—
1063C2×#41—1181no—
1064C22×Q8—591no—
1065C22×Q8—591no—
1066C22×Q8C22×D5911yescharacteristic
1067C22×D4—591no—
1068C22×D4—591no—
1069C22×D4—1181no—
1070C23×C4—1181no—
1071C23×C4—1181no—
1072#137—1184no—
1073C2×Q16—591no—
1074C2×Q16—591no—
1075C2×Q16C22×D5911yescharacteristic
1076C2×Q16C22×D5911yescharacteristic
1077C2×SD16—591no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16—591no—
1082C2×SD16—591no—
1083C2×SD16—591no—
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—1184no—
1088C2×SD16—1184no—
1089C2×SD16C22×D5911yescharacteristic
1090C2×SD16C22×D5911yescharacteristic
1091C2×M16—591no—
1092C2×M16—591no—
1093C22×C8—591no—
1094C22×C8—591no—
1095C22×C8—591no—
1096C22×C8—591no—
1097C4⋊Q8—591no—
1098C4⋊Q8—591no—
1099C4⋊Q8—591no—
1100C4⋊Q8—591no—
1101C4⋊Q8—591no—
1102C4⋊Q8—591no—
1103C4⋊Q8—591no—
1104C4⋊Q8—1181no—
1105C4⋊Q8—1181no—
1106C4⋊Q8—1181no—
1107C4⋊Q8—1181no—
1108C4⋊Q8—1181no—
1109C4⋊Q8—1181no—
1110#127—591no—
1111#126—21no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#125—591no—
1116#125—1181no—
1117#125—1181no—
1118#125—1181no—
1119#125—1181no—
1120#125—1181no—
1121#125—1181no—
1122#125—1181no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125C22×D5911yescharacteristic
1127#124—591no—
1128#124—1181no—
1129#124—1181no—
1130#124C22×D5911yescharacteristic
1131#123—21no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139C22⋊Q8—591no—
1140C22⋊Q8—591no—
1141C22⋊Q8—591no—
1142C22⋊Q8—591no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8—1181no—
1156C22⋊Q8—1181no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8C22×D5911yescharacteristic
1167#121—591no—
1168#121—591no—
1169#121—591no—
1170#121—1181no—
1171#121—1181no—
1172#121—1181no—
1173#121—1181no—
1174#121—1181no—
1175#121—1181no—
1176#121C22×D5911yescharacteristic
1177#120—1181no—
1178#120—1181no—
1179#120—1181no—
1180#120—1181no—
1181C4×Q8—21no—
1182C4×Q8—21no—
1183C4×Q8—591no—
1184C4×Q8—591no—
1185C4×Q8—591no—
1186C4×Q8—591no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—1181no—
1193C4×Q8—1181no—
1194C4×Q8—1181no—
1195C4×Q8—1181no—
1196C4×Q8—1181no—
1197C4×Q8—1181no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8C22×D5911yescharacteristic
1202C4×Q8C22×D5911yescharacteristic
1203C4×Q8C22×D5911yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×Q8C22×D5911yescharacteristic
1206C4×D4—21no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4C22×D5911yescharacteristic
1239#117—21no—
1240#117—591no—
1241#117—591no—
1242#117—591no—
1243#117—591no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249C2×C4⋊C4—21no—
1250C2×C4⋊C4—591no—
1251C2×C4⋊C4—591no—
1252C2×C4⋊C4—591no—
1253C2×C4⋊C4—591no—
1254C2×C4⋊C4—1181no—
1255C2×C4⋊C4—1181no—
1256C2×C4⋊C4—1181no—
1257C2×C4⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4—1181no—
1259C2×C22⋊C4—1181no—
1260C2×C22⋊C4—1181no—
1261C2×C22⋊C4—1181no—
1262C2×C42—21no—
1263C2×C42—591no—
1264C2×C42—591no—
1265C2×C42—1181no—
1266C2×C42—1181no—
1267C2×C42—1181no—
1268C2×C42C22×D5911yescharacteristic
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107—591no—
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107C22×D5911yescharacteristic
1280#107C22×D5911yescharacteristic
1281#106—591no—
1282#106—591no—
1283#106C22×D5911yescharacteristic
1284#106C22×D5911yescharacteristic
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—591no—
1288C4⋊C8—591no—
1289C4⋊C8C22×D5911yescharacteristic
1290C4⋊C8C22×D5911yescharacteristic
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103C22×D5911yescharacteristic
1306#103C22×D5911yescharacteristic
1307#103C22×D5911yescharacteristic
1308#103C22×D5911yescharacteristic
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102C22×D5911yescharacteristic
1322#102C22×D5911yescharacteristic
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8—591no—
1326C22⋊C8—591no—
1327C22⋊C8C22×D5911yescharacteristic
1328C22⋊C8C22×D5911yescharacteristic
1329#97—591no—
1330#97—591no—
1331#97—591no—
1332#97—591no—
1333#97—591no—
1334#97—591no—
1335#97C22×D5911yescharacteristic
1336#97C22×D5911yescharacteristic
1337C4×C8—591no—
1338C4×C8—591no—
1339C24—1181no—
1340C24—1181no—
1341#41—1184no—
1342#41—1182no—
1343#41—4722no—
1344#41—2361no—
1345C2×Q8—21no—
1346C2×Q8—22no—
1347C2×Q8—41no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—591no—
1351C2×Q8—1181no—
1352C2×Q8—1181no—
1353C2×Q8—1181no—
1354C2×Q8—1181no—
1355C2×Q8—1181no—
1356C2×Q8—1181no—
1357C2×Q8—1182no—
1358C2×Q8—1182no—
1359C2×Q8—2361no—
1360C2×Q8—2361no—
1361C2×Q8C23×D5911yescharacteristic
1362C2×Q8C23×D5911yescharacteristic
1363C2×Q8C23×D5911yescharacteristic
1364C2×D4—21no—
1365C2×D4—591no—
1366C2×D4—591no—
1367C2×D4—591no—
1368C2×D4—591no—
1369C2×D4—591no—
1370C2×D4—1182no—
1371C2×D4—1181no—
1372C2×D4—1181no—
1373C2×D4—1181no—
1374C2×D4—1181no—
1375C2×D4—1181no—
1376C2×D4—1181no—
1377C2×D4—1182no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—2361no—
1381C2×D4—2361no—
1382C2×D4—2364no—
1383C2×D4C23×D5911yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—591no—
1388C22×C4—591no—
1389C22×C4—591no—
1390C22×C4—591no—
1391C22×C4—591no—
1392C22×C4—591no—
1393C22×C4—1181no—
1394C22×C4—1181no—
1395C22×C4—1181no—
1396C22×C4—1181no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—4722no—
1408C22×C4—4722no—
1409C22×C4D4×D5911yescharacteristic
1410C22×C4D4×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412Q16—22no—
1413Q16—41no—
1414Q16—1182no—
1415Q16—2361no—
1416SD16—22no—
1417SD16—41no—
1418SD16—594no—
1419SD16—1182no—
1420SD16—1182no—
1421SD16—1182no—
1422SD16—1182no—
1423SD16—1182no—
1424SD16—1182no—
1425SD16—2361no—
1426SD16—2361no—
1427SD16—2361no—
1428M16—1182no—
1429M16—2361no—
1430C2×C8—591no—
1431C2×C8—591no—
1432C2×C8—591no—
1433C2×C8—591no—
1434C2×C8—1182no—
1435C2×C8—1182no—
1436C2×C8—2361no—
1437C2×C8—2361no—
1438C2×C8C23×D5911yescharacteristic
1439C2×C8C23×D5911yescharacteristic
1440C2×C8C23×D5911yescharacteristic
1441C2×C8C23×D5911yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—591no—
1452C4⋊C4—591no—
1453C4⋊C4—591no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
1459C4⋊C4—591no—
1460C4⋊C4—591no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4C23×D5911yescharacteristic
1492C4⋊C4C23×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—591no—
1501C22⋊C4—591no—
1502C22⋊C4—591no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—591no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—591no—
1532C42—591no—
1533C42—591no—
1534C42—591no—
1535C42—591no—
1536C42—591no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42D4×D5911yescharacteristic
1546C42D4×D5911yescharacteristic
1547C42C23×D5911yescharacteristic
1548C42C23×D5911yescharacteristic
1549C23—21no—
1550C23—591no—
1551C23—591no—
1552C23—1181no—
1553C23—1181no—
1554C23—4721no—
1555C23—4721no—
1556C23—2362no—
1557C23—2362no—
1558C23—2362no—
1559C23—2362no—
1560C23C2×D4×D5911yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—42no—
1567Q8—1182no—
1568Q8—1181no—
1569Q8—1181no—
1570Q8—1181no—
1571Q8—1181no—
1572Q8—4721no—
1573Q8—4721no—
1574Q8—4721no—
1575Q8—4721no—
1576Q8—2362no—
1577Q8—2362no—
1578Q8#41×D5912yes—
1579D4—21no—
1580D4—21no—
1581D4—42no—
1582D4—594no—
1583D4—592no—
1584D4—1182no—
1585D4—1182no—
1586D4—1181no—
1587D4—1181no—
1588D4—1181no—
1589D4—4721no—
1590D4—4721no—
1591D4—4721no—
1592D4—2362no—
1593D4—2362no—
1594D4—2362no—
1595D4—2362no—
1596D4—2362no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—41no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—591no—
1612C2×C4—591no—
1613C2×C4—591no—
1614C2×C4—591no—
1615C2×C4—591no—
1616C2×C4—591no—
1617C2×C4—1182no—
1618C2×C4—1182no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—4721no—
1630C2×C4—4721no—
1631C2×C4—4721no—
1632C2×C4—4721no—
1633C2×C4—4721no—
1634C2×C4—4721no—
1635C2×C4—4721no—
1636C2×C4—4721no—
1637C2×C4—2361no—
1638C2×C4—2361no—
1639C2×C4—2362no—
1640C2×C4—2362no—
1641C2×C4—2362no—
1642C2×C4—2362no—
1643C2×C4—2362no—
1644C2×C4—2362no—
1645C2×C4C2×D4×D5911yescharacteristic
1646C2×C4C2×D4×D5911yescharacteristic
1647C2×C4C2×D4×D5911yescharacteristic
1648C2×C4C2×D4×D5911yescharacteristic
1649C2×C4C2×D4×D5911yescharacteristic
1650C2×C4C24×D5911yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—21no—
1655C8—592no—
1656C8—1181no—
1657C8—1181no—
1658C8—1181no—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—592no—
1665C22—1181no—
1666C22—1181no—
1667C22—1181no—
1668C22—1181no—
1669C22—1182no—
1670C22—1181no—
1671C22—4724no—
1672C22—4724no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22—2361no—
1677C22—2361no—
1678C22#137×D5912yes—
1679C22C22×D4×D5911yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—22no—
1684C4—21no—
1685C4—21no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—592no—
1693C4—1181no—
1694C4—1181no—
1695C4—1181no—
1696C4—1181no—
1697C4—1181no—
1698C4—2361no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4C2×#41×D5911yescharacteristic
1705C4#1683823811yescharacteristic
1706C2—22no—
1707C2—81no—
1708C2—1182no—
1709C2—4721no—
1710C2—2361no—
1711C2—2362no—
1712C2#2143757911yescharacteristic
1713C2C2×#137×D5911yescharacteristic
1714C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3117C2
socleC22×C59C23×D4
prime radical#21437702C2
hypercenter#3117D59
hypocenterC59#61453
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3117

Complements

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

NH ≅ G/Ntype
2. Q8×#11745685C2semidirect
3. #21437152C2semidirect
4. #21437009C2semidirect
5. #21436905C2semidirect
6. #21436880C2semidirect
7. #21436588C2semidirect
8. #21436579C2semidirect
9. #21436483C2semidirect
10. #21436271C2semidirect
11. #21436264C2semidirect
12. #21436184C2semidirect
13. #21436175C2semidirect
14. #21435965C2semidirect
15. #21435918C2semidirect
16. #21435785C2semidirect
17. #21435601C2semidirect
18. #21435599C2semidirect
19. #21434811C2semidirect
20. #21434806C2semidirect
21. #21434803C2semidirect
22. #21434271C2semidirect
23. #21434256C2semidirect
24. #21434216C2semidirect
25. #21434196C2semidirect
26. #21434193C2semidirect
27. #21433105C2semidirect
28. #21432912C2semidirect
29. C2×#16837500C2semidirect
30. #440×D59C2semidirect
31. C59×#3117C2semidirect
36. Q8×Dic118C22semidirect
38. #16838130C22semidirect
40. #16838112C22semidirect
46. #16838107C22semidirect
52. Q8×D236C22semidirect
54. Q8×C22⋊D59C22semidirect
60. #16837959C22semidirect
63. #16837956C22semidirect
64. #16837956C22semidirect
73. C4×Q8×D59C22semidirect
74. C4×Q8×D59C22semidirect
78. #16837812C22semidirect
79. #16837809C22semidirect
80. #16837806C22semidirect
81. #16837797C22semidirect
82. #16837795C22semidirect
84. #16837772C22semidirect
85. #16837769C22semidirect
86. #16837763C22semidirect
87. #16837761C22semidirect
88. #16837751C22semidirect
90. #16837746C22semidirect
91. #16837742C22semidirect
92. #16837739C22semidirect
93. #16837738C22semidirect
94. #16837738C22semidirect
95. #16837736C22semidirect
96. #16837736C22semidirect
98. #16837717C22semidirect
99. #16837714C22semidirect
100. #16837712C22semidirect
101. #16837711C22semidirect
102. #16837696C22semidirect
103. #16837695C22semidirect
104. #16837695C22semidirect
107. #16837683C22semidirect
109. #16837680C22semidirect
110. #16837651C22semidirect
111. #16837649C22semidirect
112. #16837647C22semidirect
113. #16837645C22semidirect
114. #16837642C22semidirect
115. #16837641C22semidirect
116. #16837641C22semidirect
117. #16837640C22semidirect
122. #16837627C22semidirect
123. #16837626C22semidirect
124. #16837610C22semidirect
126. #16837608C22semidirect
129. #16837605C22semidirect
134. #16837556C22semidirect
140. #16837542C22semidirect
141. #16837539C22semidirect
142. #16837531C22semidirect
143. #16837531C22semidirect
144. #16837507C22semidirect
145. #16837507C22semidirect
149. #16837504C22semidirect
150. #16837504C22semidirect
151. #16837503C22semidirect
152. #16837502C22semidirect
153. #16837502C22semidirect
159. #16837500C22semidirect
160. #16837500C22semidirect
161. #16837500C22semidirect
162. #16837500C22semidirect
163. #16837499C22semidirect
164. Q16×Dic59C22semidirect
165. #16837494C22semidirect
168. #16837472C22semidirect
169. #16837472C22semidirect
170. #16837470C22semidirect
171. #16837470C22semidirect
174. #16837457C22semidirect
175. #16837457C22semidirect
176. #16837441C22semidirect
177. C2×#14273660C22semidirect
178. #107×D59C22semidirect
179. #16837409C22semidirect
181. C2×#14273651C22semidirect
182. #103×D59C22semidirect
185. #16837354C22semidirect
186. C2×#14273638C22semidirect
187. #97×D59C22semidirect
189. C2×C4×Q8×C59C22semidirect
190. C59×#484C22semidirect
192. C59×#479C22semidirect
193. C59×#479C22semidirect
194. C59×#464C22semidirect
195. C59×#464C22semidirect
196. C59×#451C22semidirect
198. C59×#441C22semidirect
199. C59×#441C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C59×#432C22semidirect
600. #11745671#41semidirect
738. C22⋊D59#137semidirect
871. #3117D59semidirect
933. C2×C4×Q8C2×D59semidirect
956. #484C2×D59semidirect
963. #479C2×D59semidirect
964. #479C2×D59semidirect
987. #464C2×D59semidirect
988. #464C2×D59semidirect
1000. #451C2×D59semidirect
1013. #441C2×D59semidirect
1014. #441C2×D59semidirect
1033. #440C2×D59semidirect
1034. #440C2×D59semidirect
1047. #432C2×D59semidirect
1060. C59#61453semidirect

Maximal subgroups

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

subgroupindex
#214377022
Q8×#117456852
#214371522
#214370092
#214369052
#214368802
#214365882
#214365792
#214364832
#214362712
#214362642
#214361842
#214361752
#214359652
#214359182
#214357852
#214356012
#214355992
#214348112
#214348062
#214348032
#214342712
#214342562
#214342162
#214341962
#214341932
#214331052
#214329122
C2×#168375002
#440×D592
C59×#31172
#6145359