Finite Group Databasebeta

← #29470645

Subgroups — #29470645

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#21437701C211yesmaximal, characteristic
2#21437675C211yesmaximal, characteristic, complemented
3#21437152C211yesmaximal, characteristic, complemented
4#21437001C211yesmaximal, characteristic, complemented
5#21436907C211yesmaximal, characteristic, complemented
6#21436878C211yesmaximal, characteristic, complemented
7#21436584C211yesmaximal, characteristic, complemented
8#21436575C211yesmaximal, characteristic, complemented
9#21436483C211yesmaximal, characteristic, complemented
10#21436269C211yesmaximal, characteristic, complemented
11#21436262C211yesmaximal, characteristic, complemented
12#21436178C211yesmaximal, characteristic, complemented
13#21435967C211yesmaximal, characteristic, complemented
14#21435916C211yesmaximal, characteristic, complemented
15#21435790C211yesmaximal, characteristic, complemented
16#21435604C211yesmaximal, characteristic, complemented
17#21435602C211yesmaximal, characteristic, complemented
18#21434809C211yesmaximal, characteristic, complemented
19#21434808C211yesmaximal, characteristic, complemented
20#21434800C211yesmaximal, characteristic, complemented
21#21434270C211yesmaximal, characteristic, complemented
22#21434266C211yesmaximal, characteristic, complemented
23#21434251C211yesmaximal, characteristic, complemented
24#21434215C211yesmaximal, characteristic, complemented
25#21434197C211yesmaximal, characteristic, complemented
26#21434190C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28#21432920C211yesmaximal, characteristic, complemented
29C2×#16837499C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3314C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic
33C22×#11745670C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35#16838134C2211yescharacteristic
36#16838132C2211yescharacteristic, complemented
37#16838130C2211yescharacteristic, complemented
38#16838129—21no—
39#16838111—21no—
40#16838111C2211yescharacteristic
41#16838110C2211yescharacteristic
42#16838107C2211yescharacteristic
43#16838107C2211yescharacteristic, complemented
44#16838106—21no—
45#16838106—21no—
46#16838099C2211yescharacteristic
47#16838098C2211yescharacteristic
48#16838095—21no—
49#16838078—21no—
50#16838075—21no—
51D4×Dic118C2211yescharacteristic, complemented
52#16838065C2211yescharacteristic
53#16838065C2211yescharacteristic, complemented
54#16838040C2211yescharacteristic
55#16838039—21no—
56D4×C22⋊D59C2211yescharacteristic
57#16837958—21no—
58#16837957C2211yescharacteristic, complemented
59#16837954—21no—
60#16837954—21no—
61#16837954C2211yescharacteristic, complemented
62#16837954C2211yescharacteristic, complemented
63#16837947C2211yescharacteristic
64#16837938C2211yescharacteristic
65#16837931C2211yescharacteristic
66#16837929—21no—
67#16837912—21no—
68#16837908—21no—
69#41×Dic59C2211yescharacteristic
70C4×#11745687—21no—
71C4×#11745687C2211yescharacteristic
72C2×#14273692C2211yescharacteristic, complemented
73C2×#14273692C2211yescharacteristic, complemented
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×D4×Dic59C2211yescharacteristic
76C2×(C22⋊D59)⋊C4—21no—
77C4×D4×D59C2211yescharacteristic
78#16837810C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837806C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837795C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic
84#16837771C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic
89#16837744C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837738C2211yescharacteristic, complemented
94#16837736C2211yescharacteristic, complemented
95#16837735C2211yescharacteristic, complemented
96#16837720C2211yescharacteristic
97#16837719C2211yescharacteristic
98#16837715C2211yescharacteristic, complemented
99#16837710C2211yescharacteristic, complemented
100#16837709C2211yescharacteristic, complemented
101#16837708C2211yescharacteristic, complemented
102#16837708C2211yescharacteristic, complemented
103#16837696C2211yescharacteristic, complemented
104#16837696C2211yescharacteristic, complemented
105#16837695C2211yescharacteristic, complemented
106#16837690C2211yescharacteristic
107#16837680C2211yescharacteristic
108#16837680C2211yescharacteristic, complemented
109#16837679C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837642C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837641C2211yescharacteristic, complemented
116#16837633C2211yescharacteristic
117#16837631C2211yescharacteristic
118#16837630C2211yescharacteristic
119#16837630C2211yescharacteristic
120#16837627C2211yescharacteristic, complemented
121#16837627C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837610C2211yescharacteristic, complemented
124#16837608C2211yescharacteristic, complemented
125#16837607C2211yescharacteristic
126#16837605C2211yescharacteristic
127#16837605C2211yescharacteristic
128#16837605C2211yescharacteristic, complemented
129#16837601C2211yescharacteristic
130#16837601C2211yescharacteristic
131#16837564C2211yescharacteristic
132#16837557C2211yescharacteristic, complemented
133#16837556C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic
135#16837554C2211yescharacteristic
136#16837553C2211yescharacteristic
137#16837543C2211yescharacteristic
138#16837543C2211yescharacteristic, complemented
139#16837540C2211yescharacteristic, complemented
140#16837539C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837509C2211yescharacteristic, complemented
144#16837506C2211yescharacteristic, complemented
145#16837506C2211yescharacteristic, complemented
146#16837506C2211yescharacteristic, complemented
147#16837505C2211yescharacteristic, complemented
148#16837504C2211yescharacteristic, complemented
149#16837503C2211yescharacteristic
150#16837503C2211yescharacteristic, complemented
151#16837502C2211yescharacteristic
152#16837501C2211yescharacteristic, complemented
153#16837501C2211yescharacteristic, complemented
154#16837501C2211yescharacteristic, complemented
155#16837500C2211yescharacteristic, complemented
156#16837499C2211yescharacteristic
157#16837499C2211yescharacteristic
158#16837499C2211yescharacteristic
159#16837499C2211yescharacteristic
160#16837499C2211yescharacteristic
161#16837499C2211yescharacteristic, complemented
162#16837499C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837494C2211yescharacteristic, complemented
167#16837494C2211yescharacteristic, complemented
168#16837493C2211yescharacteristic
169#16837493C2211yescharacteristic
170#16837476C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic
174(C22⋊D59)⋊C8C2211yescharacteristic
175#16837458C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837442C2211yescharacteristic, complemented
179C2×#14273660C2211yescharacteristic, complemented
180#107×D59C2211yescharacteristic, complemented
181#16837412C2211yescharacteristic, complemented
182C2×#14273652C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic
194C59×#468C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic
198C59×#450C2211yescharacteristic
199C59×#440C2211yescharacteristic
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic
202C2×#102×C59C2211yescharacteristic
203C2×#11745687—21no—
204C2×#11745687D411yescharacteristic
205C22×Dic118C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59C2311yescharacteristic
210C23×Dic59—21no—
211C22×C4×D59—21no—
212#14273757—24no—
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745670—24no—
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227SD16×D59—24no—
228C2×#11745664C2311yescharacteristic
229C22×C59⋊C8C2311yescharacteristic
230C2×C8×D59C2311yescharacteristic
231C2×C8×D59C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273726—21no—
234#14273726—21no—
235#14273726—21no—
236#14273726—21no—
237#14273726C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273726C2311yescharacteristic
240#14273725—21no—
241#14273725—21no—
242#14273725C2311yescharacteristic
243#14273725C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273722—21no—
246#14273722—21no—
247#14273720—21no—
248#14273720—21no—
249#14273719—21no—
250#14273719C2311yescharacteristic
251#14273718—21no—
252#14273718C2311yescharacteristic
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273716C2311yescharacteristic
261#14273713—21no—
262#14273713—21no—
263#14273711—21no—
264#14273711—21no—
265#14273710—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273708—21no—
270#14273707—21no—
271#14273707C2311yescharacteristic
272#14273707C2311yescharacteristic
273#14273706—21no—
274#14273706—21no—
275#14273706—21no—
276#14273706C2311yescharacteristic
277#14273706C2311yescharacteristic
278#14273705—21no—
279#14273705—21no—
280#14273705—21no—
281#14273705—21no—
282#14273704—21no—
283#14273704—21no—
284#14273704—21no—
285#14273704—21no—
286#14273704—21no—
287#14273704—21no—
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273703—21no—
292#14273703C2311yescharacteristic
293#14273701C2311yescharacteristic
294#14273701C2311yescharacteristic
295#14273699—21no—
296#14273699—21no—
297#14273699—21no—
298#14273699—21no—
299#14273698—21no—
300#14273698C2311yescharacteristic
301#14273696—21no—
302#14273695—21no—
303#14273695—21no—
304Q8×Dic59—21no—
305Q8×Dic59C2311yescharacteristic
306Q8×Dic59C2311yescharacteristic
307Q8×Dic59C2311yescharacteristic
308C4×Dic118—21no—
309C4×Dic118—21no—
310C4×Dic118C2311yescharacteristic
311C4×Dic118C2311yescharacteristic
312#14273692—21no—
313#14273692—21no—
314#14273692—21no—
315#14273692—21no—
316#14273692—21no—
317#14273692—21no—
318#14273692—21no—
319#14273692—21no—
320#14273692D411yescharacteristic
321#14273692C2311yescharacteristic
322#14273692C2311yescharacteristic
323#14273692C2311yescharacteristic
324#14273692C2311yescharacteristic
325#14273692C2311yescharacteristic
326#14273692C2311yescharacteristic
327#14273692C2311yescharacteristic
328C4×D236C2311yescharacteristic
329D4×Dic59—21no—
330D4×Dic59—21no—
331D4×Dic59—21no—
332D4×Dic59—21no—
333D4×Dic59—21no—
334D4×Dic59D411yescharacteristic
335D4×Dic59C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340#14273689C2311yescharacteristic
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59C2311yescharacteristic
345C4×C22⋊D59C2311yescharacteristic
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4D411yescharacteristic
357(C22⋊D59)⋊C4D411yescharacteristic
358#14273686—21no—
359#14273686C2311yescharacteristic
360#14273685—21no—
361#14273685—21no—
362#14273685D411yescharacteristic
363#14273683—21no—
364#14273683—21no—
365#14273683—21no—
366#14273683D411yescharacteristic
367#14273683D411yescharacteristic
368C2×C4⋊Dic59C2311yescharacteristic
369C2×Dic59⋊C4—21no—
370C2×Dic59⋊C4—21no—
371C2×Dic59⋊C4—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C2×C4×Dic59—21no—
379C2×C4×Dic59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59C2311yescharacteristic
382C2×C4×Dic59C2311yescharacteristic
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C2×Q16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444C22×C8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#125×C59—21no—
447#124×C59C2311yescharacteristic
448#123×C59—21no—
449C22⋊Q8×C59—21no—
450C22⋊Q8×C59—21no—
451C22⋊Q8×C59C2311yescharacteristic
452C22⋊Q8×C59C2311yescharacteristic
453C22⋊Q8×C59C2311yescharacteristic
454#121×C59—21no—
455#121×C59C2311yescharacteristic
456#120×C59—21no—
457C4×Q8×C59C2311yescharacteristic
458C4×D4×C59—21no—
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C4⋊C4×C59C2311yescharacteristic
463C2×C22⋊C4×C59—21no—
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—41no—
485C2×Q8×C59—21no—
486C2×Q8×C59C2411yescharacteristic
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—22no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—41no—
493C2×D4×C59C2×D411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59C2411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—44no—
509C2×C22⋊D59C2×D411yescharacteristic
510C2×C22⋊D59C2×D411yescharacteristic
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59—82no—
520C22×Dic59C2×D411yescharacteristic
521C22×Dic59C2×D411yescharacteristic
522C22×Dic59C2×D411yescharacteristic
523C22×Dic59C2×D411yescharacteristic
524Q8×D59—22no—
525Q8×D59—41no—
526#11745687—24no—
527#11745687—82no—
528D4×D59—22no—
529D4×D59—41no—
530C2×D236C2411yescharacteristic
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—82no—
537C2×C4×D59C2×D411yescharacteristic
538C2×C4×D59C2×D411yescharacteristic
539C2×C4×D59C2411yescharacteristic
540C2×Dic118—22no—
541C2×Dic118—22no—
542C2×Dic118—21no—
543C2×Dic118—21no—
544C2×Dic118—21no—
545C2×Dic118—21no—
546C2×Dic118—21no—
547C2×Dic118—21no—
548C2×Dic118—41no—
549C2×Dic118—41no—
550C2×Dic118C2×D411yescharacteristic
551C2×Dic118C2411yescharacteristic
552C2×Dic118C2411yescharacteristic
553C2×Dic118C2411yescharacteristic
554Q16×C59—41no—
555SD16×C59—22no—
556SD16×C59—41no—
557M16×C59—41no—
558C2×C8×C59—41no—
559C2×C8×C59C2411yescharacteristic
560C2×C8×C59C2411yescharacteristic
561C2×C8×C59C2411yescharacteristic
562C2×C8×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
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—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59C2×D411yescharacteristic
583C22⋊C4×C59C2×D411yescharacteristic
584C42×C59—21no—
585C42×C59C2411yescharacteristic
586C22⋊Dic59—21no—
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59C2×D411yescharacteristic
596C22⋊Dic59C2×D411yescharacteristic
597#11745672—22no—
598#11745672—22no—
599#11745672—41no—
600#11745671—22no—
601#11745670—22no—
602#11745670—22no—
603#11745670—22no—
604#11745670—22no—
605#11745670—41no—
606#11745670#4114yescomplemented
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)⋊C4C2×D411yescharacteristic
617(C2×D59)⋊C4C2×D411yescharacteristic
618C4⋊Dic59—21no—
619C4⋊Dic59—21no—
620C4⋊Dic59—21no—
621C4⋊Dic59—21no—
622C4⋊Dic59—21no—
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59C2×D411yescharacteristic
628C4⋊Dic59C2411yescharacteristic
629C4⋊Dic59C2411yescharacteristic
630C4⋊Dic59C2411yescharacteristic
631C4⋊Dic59C2411yescharacteristic
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
656Dic59⋊C4C2×D411yescharacteristic
657Dic59⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659C4×Dic59—21no—
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
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×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680#11745664—22no—
681C2×C59⋊C8—22no—
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686#11745660—22no—
687#11745660—41no—
688#11745660—41no—
689C8×D59—22no—
690C8×D59—41no—
691C23×C59—21no—
692C23×C59—21no—
693C23×C59—42no—
694C23×C59—42no—
695C23×C59—81no—
696C23×C59C22×D411yescharacteristic
697C23×C59C22×D411yescharacteristic
698C22×D59—21no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—81no—
702C22×D59C22×D411yescharacteristic
703Q8×C59—21no—
704Q8×C59—21no—
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—81no—
708D4×C59—22no—
709D4×C59—21no—
710D4×C59—21no—
711D4×C59—21no—
712D4×C59—42no—
713D4×C59—42no—
714D4×C59—81no—
715D4×C59C2×#4112yes—
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—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—42no—
727C2×C4×C59—81no—
728C2×C4×C59—81no—
729C2×C4×C59—81no—
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C2511yescharacteristic
735C22⋊D59—22no—
736C22⋊D59—42no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—81no—
741C22⋊D59—81no—
742C22⋊D59#13714yescomplemented
743C2×Dic59—22no—
744C2×Dic59—21no—
745C2×Dic59—22no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—41no—
753C2×Dic59—41no—
754C2×Dic59—42no—
755C2×Dic59—42no—
756C2×Dic59—42no—
757C2×Dic59—42no—
758C2×Dic59—42no—
759C2×Dic59—81no—
760C2×Dic59—81no—
761C2×Dic59—81no—
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765C2×Dic59C22×D411yescharacteristic
766C2×Dic59C22×D411yescharacteristic
767C2×Dic59C22×D411yescharacteristic
768C2×Dic59C22×D411yescharacteristic
769D236—21no—
770D236—21no—
771C4×D59—22no—
772C4×D59—21no—
773C4×D59—21no—
774C4×D59—41no—
775C4×D59—42no—
776C4×D59—42no—
777C4×D59—81no—
778C4×D59—81no—
779C4×D59—81no—
780Dic118—21no—
781Dic118—22no—
782Dic118—21no—
783Dic118—21no—
784Dic118—21no—
785Dic118—21no—
786Dic118—42no—
787Dic118—42no—
788Dic118—42no—
789Dic118—81no—
790Dic118—81no—
791Dic118—81no—
792Dic118C2×#4112yes—
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—21no—
805C22×C59—21no—
806C22×C59—22no—
807C22×C59—21no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—84no—
814C22×C59C2×#13712yes—
815C22×C59C23×D411yescharacteristic
816C2×D59—21no—
817C2×D59—21no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—84no—
822C2×D59C2×#13712yes—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—21no—
826C4×C59—21no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59C22×#4111yescharacteristic
834C4×C59#58511yescharacteristic
835Dic59—21no—
836Dic59—21no—
837Dic59—21no—
838Dic59—22no—
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#3314D5911yescharacteristic, complemented
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#3117—591no—
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—42no—
882C2×C59—41no—
883C2×C59—81no—
884C2×C59D4×#4111yescharacteristic
885C2×C59C22×#13711yescharacteristic
886C2×C59#358511yescharacteristic
887D59—22no—
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—1181no—
901#554—1181no—
902#554—1181no—
903#554C2×D5911yescharacteristic, complemented
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—1181no—
914#546C2×D5911yescharacteristic
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—591no—
925#529—1181no—
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×Q8—591no—
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#489C2×D5911yescharacteristic, complemented
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#481—591no—
959#480—591no—
960#480C2×D5911yescharacteristic, complemented
961#479—591no—
962#479—591no—
963#479—591no—
964#479—591no—
965#477—591no—
966#477—591no—
967#477—591no—
968#476—591no—
969#474—591no—
970#474—591no—
971#474—591no—
972#474C2×D5911yescharacteristic
973#468—591no—
974#468—591no—
975#468—591no—
976#468C2×D5911yescharacteristic, complemented
977#467—591no—
978#467—591no—
979#467—591no—
980#467C2×D5911yescharacteristic, complemented
981#465—591no—
982#465—591no—
983#465—591no—
984#465—591no—
985#464—591no—
986#464—591no—
987#464—591no—
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#452C2×D5911yescharacteristic
999#451—591no—
1000#451—591no—
1001#450—591no—
1002#450—591no—
1003#450—591no—
1004#450C2×D5911yescharacteristic
1005#448—591no—
1006#448—591no—
1007#448—591no—
1008#448—591no—
1009#446—591no—
1010#446—591no—
1011#441—591no—
1012#441—591no—
1013#441—591no—
1014#441—591no—
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#440—591no—
1034#440C2×D5911yescharacteristic
1035C4×Q16—591no—
1036C4×Q16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#435C2×D5911yescharacteristic, complemented
1043C8×D4—591no—
1044C8×D4—591no—
1045#432—591no—
1046#432—591no—
1047#432—591no—
1048#428—591no—
1049C2×#107—591no—
1050C2×#107—591no—
1051#419—591no—
1052#417C2×D5911yescharacteristic
1053C2×#103—591no—
1054C2×#103—591no—
1055C2×#102—591no—
1056C2×#102C2×D5911yescharacteristic
1057C4×M16—591no—
1058C2×#97—591no—
1059C2×#97—591no—
1060C59#6145311yescharacteristic, complemented, Sylow
1061C2×#41—591no—
1062C2×#41—1181no—
1063C2×#41C22×D5911yescharacteristic
1064C22×Q8—591no—
1065C22×Q8—591no—
1066C22×Q8—591no—
1067C22×D4—591no—
1068C22×D4—1181no—
1069C22×D4C22×D5911yescharacteristic
1070C23×C4—1181no—
1071C23×C4—1181no—
1072#137—1184no—
1073C2×Q16—591no—
1074C2×Q16—591no—
1075C2×Q16—591no—
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×M16C22×D5911yescharacteristic
1093C22×C8—591no—
1094C22×C8—591no—
1095C22×C8—591no—
1096C22×C8C22×D5911yescharacteristic
1097C4⋊Q8—591no—
1098C4⋊Q8—591no—
1099C4⋊Q8—591no—
1100C4⋊Q8—591no—
1101C4⋊Q8—591no—
1102C4⋊Q8—591no—
1103C4⋊Q8—1181no—
1104C4⋊Q8—1181no—
1105C4⋊Q8—1181no—
1106C4⋊Q8—1181no—
1107C4⋊Q8—1181no—
1108C4⋊Q8—1181no—
1109C4⋊Q8C22×D5911yescharacteristic
1110#127—591no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#125—21no—
1116#125—591no—
1117#125—591no—
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#125—1181no—
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—21no—
1140C22⋊Q8—21no—
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⋊Q8C22×D5911yescharacteristic
1165C22⋊Q8C22×D5911yescharacteristic
1166C22⋊Q8C22×D5911yescharacteristic
1167#121—21no—
1168#121—591no—
1169#121—591no—
1170#121—591no—
1171#121—1181no—
1172#121—1181no—
1173#121—1181no—
1174#121—1181no—
1175#121—1181no—
1176#121C22×D5911yescharacteristic
1177#120—21no—
1178#120—1181no—
1179#120—1181no—
1180#120—1181no—
1181C4×Q8—591no—
1182C4×Q8—591no—
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—591no—
1193C4×Q8—591no—
1194C4×Q8—1181no—
1195C4×Q8—1181no—
1196C4×Q8—1181no—
1197C4×Q8—1181no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
1202C4×Q8—1181no—
1203C4×Q8—1181no—
1204C4×Q8—1181no—
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—1181no—
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×D4C22×D5911yescharacteristic
1238C4×D4C22×D5911yescharacteristic
1239#117—591no—
1240#117—591no—
1241#117—591no—
1242#117—591no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249C2×C4⋊C4—591no—
1250C2×C4⋊C4—591no—
1251C2×C4⋊C4—591no—
1252C2×C4⋊C4—1181no—
1253C2×C4⋊C4—1181no—
1254C2×C4⋊C4—1181no—
1255C2×C4⋊C4—1181no—
1256C2×C4⋊C4C22×D5911yescharacteristic
1257C2×C4⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—1181no—
1260C2×C22⋊C4—1181no—
1261C2×C22⋊C4—1181no—
1262C2×C42—591no—
1263C2×C42—591no—
1264C2×C42—591no—
1265C2×C42—1181no—
1266C2×C42—1181no—
1267C2×C42—1181no—
1268C2×C42—1181no—
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#107C22×D5911yescharacteristic
1279#107C22×D5911yescharacteristic
1280#107C22×D5911yescharacteristic
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—591no—
1288C4⋊C8—591no—
1289C4⋊C8—591no—
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#103—591no—
1306#103—591no—
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#102C22×D5911yescharacteristic
1318#102C22×D5911yescharacteristic
1319#102C22×D5911yescharacteristic
1320#102C22×D5911yescharacteristic
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#97—591no—
1336#97C22×D5911yescharacteristic
1337C4×C8—591no—
1338C4×C8—591no—
1339C24—21no—
1340C24—1181no—
1341#41—22no—
1342#41—41no—
1343#41—1184no—
1344#41—4722no—
1345C2×Q8—21no—
1346C2×Q8—591no—
1347C2×Q8—591no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—1181no—
1351C2×Q8—1181no—
1352C2×Q8—1181no—
1353C2×Q8—1181no—
1354C2×Q8—1182no—
1355C2×Q8—1182no—
1356C2×Q8—1181no—
1357C2×Q8—1181no—
1358C2×Q8—1182no—
1359C2×Q8—2361no—
1360C2×Q8—2361no—
1361C2×Q8—2361no—
1362C2×Q8C23×D5911yescharacteristic
1363C2×Q8C23×D5911yescharacteristic
1364C2×D4—22no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—41no—
1369C2×D4—591no—
1370C2×D4—591no—
1371C2×D4—591no—
1372C2×D4—1181no—
1373C2×D4—1181no—
1374C2×D4—1181no—
1375C2×D4—1182no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—2361no—
1380C2×D4—2364no—
1381C2×D4D4×D5911yescharacteristic
1382C2×D4C23×D5911yescharacteristic
1383C2×D4C23×D5911yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—591no—
1389C22×C4—591no—
1390C22×C4—591no—
1391C22×C4—591no—
1392C22×C4—591no—
1393C22×C4—591no—
1394C22×C4—591no—
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—1181no—
1408C22×C4—4722no—
1409C22×C4—4722no—
1410C22×C4C23×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412Q16—41no—
1413Q16—1182no—
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—41no—
1429M16—1182no—
1430C2×C8—41no—
1431C2×C8—591no—
1432C2×C8—591no—
1433C2×C8—591no—
1434C2×C8—591no—
1435C2×C8—1182no—
1436C2×C8—1182no—
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—591no—
1450C4⋊C4—591no—
1451C4⋊C4—591no—
1452C4⋊C4—591no—
1453C4⋊C4—591no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
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—21no—
1501C22⋊C4—21no—
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⋊C4D4×D5911yescharacteristic
1525C22⋊C4D4×D5911yescharacteristic
1526C42—21no—
1527C42—591no—
1528C42—591no—
1529C42—591no—
1530C42—591no—
1531C42—591no—
1532C42—591no—
1533C42—591no—
1534C42—591no—
1535C42—591no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42C23×D5911yescharacteristic
1549C23—21no—
1550C23—21no—
1551C23—42no—
1552C23—42no—
1553C23—81no—
1554C23—591no—
1555C23—1181no—
1556C23—4721no—
1557C23—2362no—
1558C23—2362no—
1559C23C2×D4×D5911yescharacteristic
1560C23C2×D4×D5911yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—81no—
1566Q8—592no—
1567Q8—1182no—
1568Q8—1181no—
1569Q8—1181no—
1570Q8—1181no—
1571Q8—1181no—
1572Q8—1181no—
1573Q8—4721no—
1574Q8—4721no—
1575Q8—4721no—
1576Q8—2362no—
1577Q8—2362no—
1578Q8—2362no—
1579D4—22no—
1580D4—21no—
1581D4—21no—
1582D4—21no—
1583D4—42no—
1584D4—42no—
1585D4—81no—
1586D4—594no—
1587D4—1182no—
1588D4—1181no—
1589D4—1181no—
1590D4—4721no—
1591D4—4721no—
1592D4—2362no—
1593D4—2362no—
1594D4—2362no—
1595D4—2362no—
1596D4#41×D5912yes—
1597C2×C4—21no—
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—42no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—591no—
1612C2×C4—591no—
1613C2×C4—591no—
1614C2×C4—591no—
1615C2×C4—591no—
1616C2×C4—591no—
1617C2×C4—591no—
1618C2×C4—1182no—
1619C2×C4—1182no—
1620C2×C4—1182no—
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—1181no—
1630C2×C4—4721no—
1631C2×C4—4721no—
1632C2×C4—4721no—
1633C2×C4—4721no—
1634C2×C4—4721no—
1635C2×C4—4721no—
1636C2×C4—2361no—
1637C2×C4—2362no—
1638C2×C4—2362no—
1639C2×C4—2362no—
1640C2×C4—2361no—
1641C2×C4—2361no—
1642C2×C4—2362no—
1643C2×C4—2362no—
1644C2×C4—2362no—
1645C2×C4—2362no—
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—21no—
1662C22—21no—
1663C22—22no—
1664C22—21no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—84no—
1671C22—592no—
1672C22—1181no—
1673C22—1181no—
1674C22—4724no—
1675C22—2361no—
1676C22—2361no—
1677C22—2361no—
1678C22#137×D5912yes—
1679C22C22×D4×D5911yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—592no—
1691C4—1181no—
1692C4—1181no—
1693C4—1181no—
1694C4—1182no—
1695C4—1181no—
1696C4—1181no—
1697C4—1181no—
1698C4—2361no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4C2×#41×D5911yescharacteristic
1705C4#1683823711yescharacteristic
1706C2—22no—
1707C2—41no—
1708C2—42no—
1709C2—81no—
1710C2—1182no—
1711C2—4721no—
1712C2#2143758011yescharacteristic
1713C2C2×#137×D5911yescharacteristic
1714C2#2143887111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3314C2
socleC22×C59C23×D4
prime radical#21437701C2
hypercenter#3314D59
hypocenterC59#61453
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
2. #21437675C2semidirect
3. #21437152C2semidirect
4. #21437001C2semidirect
5. #21436907C2semidirect
6. #21436878C2semidirect
7. #21436584C2semidirect
8. #21436575C2semidirect
9. #21436483C2semidirect
10. #21436269C2semidirect
11. #21436262C2semidirect
12. #21436178C2semidirect
13. #21435967C2semidirect
14. #21435916C2semidirect
15. #21435790C2semidirect
16. #21435604C2semidirect
17. #21435602C2semidirect
18. #21434809C2semidirect
19. #21434808C2semidirect
20. #21434800C2semidirect
21. #21434270C2semidirect
22. #21434266C2semidirect
23. #21434251C2semidirect
24. #21434215C2semidirect
25. #21434197C2semidirect
26. #21434190C2semidirect
27. #21433106C2semidirect
28. #21432920C2semidirect
29. C2×#16837499C2semidirect
30. #440×D59C2semidirect
31. C59×#3314C2semidirect
36. #16838132C22semidirect
37. #16838130C22semidirect
43. #16838107C22semidirect
51. D4×Dic118C22semidirect
53. #16838065C22semidirect
58. #16837957C22semidirect
61. #16837954C22semidirect
62. #16837954C22semidirect
72. C2×#14273692C22semidirect
73. C2×#14273692C22semidirect
74. C4×Q8×D59C22semidirect
78. #16837810C22semidirect
79. #16837808C22semidirect
80. #16837806C22semidirect
81. #16837797C22semidirect
82. #16837795C22semidirect
84. #16837771C22semidirect
85. #16837769C22semidirect
86. #16837763C22semidirect
87. #16837751C22semidirect
89. #16837744C22semidirect
90. #16837740C22semidirect
91. #16837739C22semidirect
92. #16837739C22semidirect
93. #16837738C22semidirect
94. #16837736C22semidirect
95. #16837735C22semidirect
98. #16837715C22semidirect
99. #16837710C22semidirect
100. #16837709C22semidirect
101. #16837708C22semidirect
102. #16837708C22semidirect
103. #16837696C22semidirect
104. #16837696C22semidirect
105. #16837695C22semidirect
108. #16837680C22semidirect
109. #16837679C22semidirect
110. #16837650C22semidirect
111. #16837648C22semidirect
112. #16837646C22semidirect
113. #16837642C22semidirect
114. #16837642C22semidirect
115. #16837641C22semidirect
120. #16837627C22semidirect
121. #16837627C22semidirect
122. #16837621C22semidirect
123. #16837610C22semidirect
124. #16837608C22semidirect
128. #16837605C22semidirect
132. #16837557C22semidirect
133. #16837556C22semidirect
138. #16837543C22semidirect
139. #16837540C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
143. #16837509C22semidirect
144. #16837506C22semidirect
145. #16837506C22semidirect
146. #16837506C22semidirect
147. #16837505C22semidirect
148. #16837504C22semidirect
150. #16837503C22semidirect
152. #16837501C22semidirect
153. #16837501C22semidirect
154. #16837501C22semidirect
155. #16837500C22semidirect
161. #16837499C22semidirect
162. #16837499C22semidirect
163. #16837499C22semidirect
164. #16837499C22semidirect
165. #16837499C22semidirect
166. #16837494C22semidirect
167. #16837494C22semidirect
170. #16837476C22semidirect
171. #16837474C22semidirect
172. #16837471C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #16837442C22semidirect
179. C2×#14273660C22semidirect
180. #107×D59C22semidirect
181. #16837412C22semidirect
182. C2×#14273652C22semidirect
183. #103×D59C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
188. C59×#554C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
194. C59×#468C22semidirect
195. C59×#467C22semidirect
196. C59×#464C22semidirect
200. C59×#435C22semidirect
606. #11745670#41semidirect
742. C22⋊D59#137semidirect
861. #3314D59semidirect
903. #554C2×D59semidirect
946. #489C2×D59semidirect
956. #484C2×D59semidirect
960. #480C2×D59semidirect
976. #468C2×D59semidirect
980. #467C2×D59semidirect
988. #464C2×D59semidirect
1042. #435C2×D59semidirect
1060. C59#61453semidirect

Maximal subgroups

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

subgroupindex
#214377012
#214376752
#214371522
#214370012
#214369072
#214368782
#214365842
#214365752
#214364832
#214362692
#214362622
#214361782
#214359672
#214359162
#214357902
#214356042
#214356022
#214348092
#214348082
#214348002
#214342702
#214342662
#214342512
#214342152
#214341972
#214341902
#214331062
#214329202
C2×#168374992
#440×D592
C59×#33142
#6145359