Finite Group Databasebeta

← #29474081

Subgroups — #29474081

Order 15104.

2084 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438142C211yesmaximal, characteristic
2D4×Q8×D59C211yesmaximal, characteristic, complemented
3#21436377C211yesmaximal, characteristic, complemented
4#21436375C211yesmaximal, characteristic, complemented
5#21436146C211yesmaximal, characteristic, complemented
6#21436144C211yesmaximal, characteristic, complemented
7#21436141C211yesmaximal, characteristic, complemented
8#21435959C211yesmaximal, characteristic, complemented
9#21435957C211yesmaximal, characteristic, complemented
10#21435845C211yesmaximal, characteristic, complemented
11#21435841C211yesmaximal, characteristic, complemented
12#21435739C211yesmaximal, characteristic, complemented
13#21435735C211yesmaximal, characteristic, complemented
14#21435672C211yesmaximal, characteristic, complemented
15#21435671C211yesmaximal, characteristic, complemented
16#21435668C211yesmaximal, characteristic, complemented
17#21435667C211yesmaximal, characteristic, complemented
18#21435124C211yesmaximal, characteristic, complemented
19#21435043C211yesmaximal, characteristic, complemented
20#21434919C211yesmaximal, characteristic, complemented
21#21434916C211yesmaximal, characteristic, complemented
22#21434881C211yesmaximal, characteristic, complemented
23#21434878C211yesmaximal, characteristic, complemented
24#21434224C211yesmaximal, characteristic, complemented
25#21434181C211yesmaximal, characteristic, complemented
26#21433332C211yesmaximal, characteristic, complemented
27#21433331C211yesmaximal, characteristic, complemented
28C2×#16837559C211yesmaximal, characteristic, complemented
29#451×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3312C211yesmaximal, characteristic, complemented
32C22×Q8×D59C2211yescharacteristic
33C22×Q8×D59C2211yescharacteristic
34C2×#14273760C2211yescharacteristic, complemented
35C2×#14273759C2211yescharacteristic, complemented
36C2×#14273759C2211yescharacteristic, complemented
37C2×#14273758C2211yescharacteristic, complemented
38C22×Dic236C2211yescharacteristic, complemented
39C22×#11745672C2211yescharacteristic, complemented
40C2×Q16×D59C2211yescharacteristic, complemented
41C2×Q16×D59C2211yescharacteristic, complemented
42#16838120C2211yescharacteristic
43#16838108—21no—
44#16838090C2211yescharacteristic
45#16838077—21no—
46#16838076—21no—
47Q8×D236C2211yescharacteristic
48D4×Dic118—21no—
49D4×Dic118C2211yescharacteristic
50#16838067—21no—
51#16838067C2211yescharacteristic
52Q8×C22⋊D59C2211yescharacteristic
53Q8×C22⋊D59C2211yescharacteristic
54#16838065—21no—
55#16838065—21no—
56#16838065C2211yescharacteristic
57#16838065C2211yescharacteristic
58#16838065C2211yescharacteristic
59#16838064C2211yescharacteristic
60#16838061C2211yescharacteristic
61#16838054C2211yescharacteristic
62#16838053C2211yescharacteristic
63#16838044—21no—
64#16838018—21no—
65#16838000—21no—
66#16837996—21no—
67#16837956C2211yescharacteristic
68C4⋊Q8×D59—21no—
69C4⋊Q8×D59C2211yescharacteristic
70#16837937C2211yescharacteristic
71#16837915C2211yescharacteristic
72#16837914C2211yescharacteristic
73C2×#14273707C2211yescharacteristic
74C22⋊Q8×D59—21no—
75C22⋊Q8×D59—21no—
76C22⋊Q8×D59C2211yescharacteristic
77C22⋊Q8×D59C2211yescharacteristic
78C22⋊Q8×D59C2211yescharacteristic
79#16837882—21no—
80C4×Q8×D59C2211yescharacteristic
81C4×D4×D59—21no—
82C4×D4×D59C2211yescharacteristic
83#16837796C2211yescharacteristic, complemented
84#16837794C2211yescharacteristic, complemented
85#16837780C2211yescharacteristic, complemented
86#16837780C2211yescharacteristic, complemented
87#16837772C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837751C2211yescharacteristic, complemented
90#16837745C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837741C2211yescharacteristic, complemented
93#16837734C2211yescharacteristic
94#16837734C2211yescharacteristic
95#16837734C2211yescharacteristic, complemented
96#16837732C2211yescharacteristic, complemented
97#16837731C2211yescharacteristic
98#16837731C2211yescharacteristic, complemented
99#16837717C2211yescharacteristic
100#16837706C2211yescharacteristic, complemented
101#16837686C2211yescharacteristic, complemented
102#16837685C2211yescharacteristic, complemented
103#16837661C2211yescharacteristic, complemented
104#16837661C2211yescharacteristic, complemented
105#16837660C2211yescharacteristic, complemented
106#16837659C2211yescharacteristic, complemented
107#16837659C2211yescharacteristic, complemented
108#16837658C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837644C2211yescharacteristic, complemented
111#16837642C2211yescharacteristic, complemented
112#16837641C2211yescharacteristic, complemented
113#16837634C2211yescharacteristic, complemented
114#16837633C2211yescharacteristic, complemented
115#16837632C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837625C2211yescharacteristic, complemented
118#16837624C2211yescharacteristic, complemented
119#16837613C2211yescharacteristic, complemented
120#16837612C2211yescharacteristic, complemented
121#16837611C2211yescharacteristic, complemented
122#16837611C2211yescharacteristic, complemented
123#16837611C2211yescharacteristic, complemented
124#16837610C2211yescharacteristic, complemented
125#16837609C2211yescharacteristic, complemented
126#16837606C2211yescharacteristic, complemented
127#16837606C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837563C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837560C2211yescharacteristic, complemented
133#16837560C2211yescharacteristic, complemented
134#16837559C2211yescharacteristic
135#16837559C2211yescharacteristic
136#16837559C2211yescharacteristic
137#16837559C2211yescharacteristic
138#16837559C2211yescharacteristic
139#16837559C2211yescharacteristic
140#16837559C2211yescharacteristic, complemented
141#16837559C2211yescharacteristic, complemented
142#16837559C2211yescharacteristic, complemented
143#16837559C2211yescharacteristic, complemented
144#16837559C2211yescharacteristic, complemented
145#16837559C2211yescharacteristic, complemented
146#16837559C2211yescharacteristic, complemented
147#16837558C2211yescharacteristic, complemented
148#16837557C2211yescharacteristic, complemented
149#16837557C2211yescharacteristic, complemented
150#16837557C2211yescharacteristic, complemented
151#16837556C2211yescharacteristic
152#16837556C2211yescharacteristic
153#16837556C2211yescharacteristic
154#16837556C2211yescharacteristic, complemented
155#16837543C2211yescharacteristic, complemented
156#16837542C2211yescharacteristic
157#16837542C2211yescharacteristic
158#16837542C2211yescharacteristic
159#16837542C2211yescharacteristic, complemented
160#16837542C2211yescharacteristic, complemented
161#16837541C2211yescharacteristic, complemented
162#16837510C2211yescharacteristic, complemented
163#16837507C2211yescharacteristic, complemented
164#16837507C2211yescharacteristic, complemented
165#16837496C2211yescharacteristic, complemented
166#16837494C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168#16837487C2211yescharacteristic, complemented
169#16837478C2211yescharacteristic
170#16837477C2211yescharacteristic
171#16837475C2211yescharacteristic
172#16837474C2211yescharacteristic
173#16837472C2211yescharacteristic
174C8×C22⋊D59C2211yescharacteristic
175(C22⋊D59)⋊C8C2211yescharacteristic
176#16837457C2211yescharacteristic
177#16837454C2211yescharacteristic
178#16837410C2211yescharacteristic, complemented
179#16837409C2211yescharacteristic, complemented
180#16837409C2211yescharacteristic, complemented
181C2×#14273650C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic
185#16837364C2211yescharacteristic
186C2×(C2×D59)⋊C8C2211yescharacteristic
187C22⋊C8×D59C2211yescharacteristic
188C59×#552C2211yescharacteristic
189D4×Q8×C59C2211yescharacteristic
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#479C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#451C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic
201C59×#419C2211yescharacteristic, complemented
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C22×Dic118—21no—
207C22×Dic118—21no—
208C22×Dic118C2311yescharacteristic
209C22×Dic118C2311yescharacteristic
210C22×Dic118C2311yescharacteristic
211C2×Q8×D59—21no—
212C2×Q8×D59—21no—
213C2×Q8×D59—21no—
214C2×Q8×D59—21no—
215C2×Q8×D59—42no—
216C2×Q8×D59—42no—
217C2×Q8×D59—42no—
218C2×Q8×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×Q8×D59C2311yescharacteristic
224C2×Q8×D59C2311yescharacteristic
225C2×Q8×D59C2311yescharacteristic
226C2×Q8×D59C2311yescharacteristic
227C2×D4×D59D411yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59—21no—
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232#14273760—42no—
233#14273759—42no—
234#14273759—42no—
235#14273758—42no—
236C2×Dic236—42no—
237C2×Dic236C2311yescharacteristic
238C2×Dic236C2311yescharacteristic
239C2×Dic236C2311yescharacteristic
240C2×Dic236C2311yescharacteristic
241C2×Dic236C2311yescharacteristic
242C2×Dic236C2311yescharacteristic
243C2×#11745672—42no—
244C2×#11745672C2311yescharacteristic
245C2×#11745672C2311yescharacteristic
246C2×#11745672C2311yescharacteristic
247C2×#11745672C2311yescharacteristic
248C2×#11745672C2311yescharacteristic
249C2×#11745672C2311yescharacteristic
250C2×#11745672C2311yescharacteristic
251C2×#11745672C2311yescharacteristic
252C2×#11745672C2311yescharacteristic
253Q16×D59—42no—
254Q16×D59—42no—
255C2×#11745660C2311yescharacteristic
256C2×#11745660C2311yescharacteristic
257C2×#11745660C2311yescharacteristic
258C2×#11745671C2311yescharacteristic
259C2×#11745671C2311yescharacteristic
260C2×#11745671C2311yescharacteristic
261C2×#11745664C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C22×C59⋊C8C2311yescharacteristic
265C2×C8×D59C2311yescharacteristic
266C2×C8×D59C2311yescharacteristic
267#14273727—21no—
268#14273727C2311yescharacteristic
269#14273726—21no—
270#14273726—21no—
271#14273726—21no—
272#14273726—21no—
273#14273726—21no—
274#14273726—21no—
275#14273726—21no—
276#14273726C2311yescharacteristic
277#14273725—21no—
278#14273725—21no—
279#14273725C2311yescharacteristic
280#14273725C2311yescharacteristic
281#14273725C2311yescharacteristic
282#14273722—21no—
283#14273722—21no—
284#14273721—21no—
285#14273720—21no—
286#14273718—21no—
287#14273717—21no—
288#14273715—21no—
289#14273715C2311yescharacteristic
290#14273713—21no—
291#14273713—21no—
292#14273712—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273712—21no—
297#14273711—21no—
298#14273710—21no—
299#14273709—21no—
300#14273707—21no—
301#14273707—21no—
302#14273707—21no—
303#14273707—21no—
304#14273707—21no—
305#14273707C2311yescharacteristic
306#14273707C2311yescharacteristic
307#14273707C2311yescharacteristic
308#14273707C2311yescharacteristic
309#14273707C2311yescharacteristic
310#14273707C2311yescharacteristic
311#14273707C2311yescharacteristic
312#14273706—21no—
313#14273706—21no—
314#14273706C2311yescharacteristic
315#14273706C2311yescharacteristic
316#14273706C2311yescharacteristic
317#14273705—21no—
318#14273705—21no—
319#14273705—21no—
320#14273705—21no—
321#14273705—21no—
322#14273705—21no—
323#14273705—21no—
324#14273705—21no—
325#14273705—21no—
326#14273705—21no—
327#14273705—21no—
328#14273704—21no—
329#14273704—21no—
330#14273704—21no—
331#14273704—21no—
332#14273704—21no—
333#14273704—21no—
334#14273704—21no—
335#14273704—21no—
336#14273703—21no—
337#14273703—21no—
338#14273703C2311yescharacteristic
339#14273703C2311yescharacteristic
340#14273703C2311yescharacteristic
341#14273702—21no—
342#14273702C2311yescharacteristic
343#14273702C2311yescharacteristic
344#14273701C2311yescharacteristic
345#14273700—21no—
346#14273699—21no—
347#14273697—21no—
348#14273697—21no—
349Q8×Dic59C2311yescharacteristic
350C4×Dic118—21no—
351C4×Dic118—21no—
352C4×Dic118—21no—
353C4×Dic118C2311yescharacteristic
354C4×Dic118C2311yescharacteristic
355#14273692—21no—
356#14273692C2311yescharacteristic
357#14273692C2311yescharacteristic
358C4×D236—21no—
359C4×D236—21no—
360C4×D236—21no—
361C4×D236—21no—
362C4×D236C2311yescharacteristic
363D4×Dic59—21no—
364D4×Dic59D411yescharacteristic
365#14273689—21no—
366#14273689—21no—
367#14273689—21no—
368#14273689D411yescharacteristic
369#14273689C2311yescharacteristic
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59C2311yescharacteristic
373C4×C22⋊D59C2311yescharacteristic
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4—21no—
379(C22⋊D59)⋊C4D411yescharacteristic
380(C22⋊D59)⋊C4D411yescharacteristic
381#14273685—21no—
382#14273685—21no—
383#14273685C2311yescharacteristic
384#14273684—21no—
385C2×C4⋊Dic59—21no—
386C4⋊C4×D59—21no—
387C4⋊C4×D59—21no—
388C4⋊C4×D59—21no—
389C4⋊C4×D59—21no—
390C4⋊C4×D59—21no—
391C4⋊C4×D59—21no—
392C4⋊C4×D59—21no—
393C4⋊C4×D59D411yescharacteristic
394C4⋊C4×D59C2311yescharacteristic
395C4⋊C4×D59C2311yescharacteristic
396C2×(C2×D59)⋊C4—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59D411yescharacteristic
401C22⋊C4×D59D411yescharacteristic
402C42×D59—21no—
403C42×D59C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273652C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273651C2311yescharacteristic
420#14273651C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273650C2311yescharacteristic
424#14273650C2311yescharacteristic
425#14273650C2311yescharacteristic
426#14273650C2311yescharacteristic
427#14273650C2311yescharacteristic
428#14273650C2311yescharacteristic
429#14273650C2311yescharacteristic
430#14273650C2311yescharacteristic
431#14273650C2311yescharacteristic
432#14273649C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273638C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C22×Q8×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×Q16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C4⋊Q8×C59—21no—
455C4⋊Q8×C59C2311yescharacteristic
456#126×C59—21no—
457#125×C59—21no—
458#125×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59—21no—
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465C22⋊Q8×C59C2311yescharacteristic
466C4×Q8×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470#117×C59—21no—
471#117×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474#106×C59C2311yescharacteristic
475#106×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#103×C59C2311yescharacteristic
486#103×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59C2×D411yescharacteristic
491C23×D59C2×D411yescharacteristic
492C2×Q8×C59—21no—
493C2×Q8×C59—21no—
494C2×Q8×C59—22no—
495C2×Q8×C59—22no—
496C2×Q8×C59—41no—
497C2×Q8×C59—41no—
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59C2×D411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59C2411yescharacteristic
507C22×C4×C59C2411yescharacteristic
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59C2×D411yescharacteristic
511C2×C22⋊D59C2×D411yescharacteristic
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59C2×D411yescharacteristic
516C22×Dic59C2×D411yescharacteristic
517#11745689—41no—
518#11745689—41no—
519Q8×D59—22no—
520Q8×D59—22no—
521Q8×D59—22no—
522Q8×D59—22no—
523Q8×D59—22no—
524Q8×D59—22no—
525Q8×D59—41no—
526Q8×D59—41no—
527Q8×D59—41no—
528Q8×D59—41no—
529Q8×D59—41no—
530Q8×D59—41no—
531Q8×D59—41no—
532Q8×D59—41no—
533Q8×D59—44no—
534Q8×D59—44no—
535Q8×D59—41no—
536Q8×D59—41no—
537Q8×D59—44no—
538Q8×D59—44no—
539D4×D59—24no—
540#11745685—41no—
541#11745685—41no—
542#11745685—44no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236C2×D411yescharacteristic
547C2×D236C2411yescharacteristic
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—41no—
562C2×C4×D59—41no—
563C2×C4×D59—41no—
564C2×C4×D59—41no—
565C2×C4×D59—44no—
566C2×C4×D59—44no—
567C2×C4×D59C2×D411yescharacteristic
568C2×C4×D59C2×D411yescharacteristic
569C2×C4×D59C2×D411yescharacteristic
570C2×C4×D59C2×D411yescharacteristic
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2411yescharacteristic
574C2×C4×D59C2411yescharacteristic
575C2×C4×D59C2411yescharacteristic
576C2×Dic118—21no—
577C2×Dic118—22no—
578C2×Dic118—22no—
579C2×Dic118—21no—
580C2×Dic118—21no—
581C2×Dic118—21no—
582C2×Dic118—21no—
583C2×Dic118—21no—
584C2×Dic118—21no—
585C2×Dic118—21no—
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118—21no—
590C2×Dic118—41no—
591C2×Dic118—41no—
592C2×Dic118—41no—
593C2×Dic118—41no—
594C2×Dic118—44no—
595C2×Dic118—44no—
596C2×Dic118C2411yescharacteristic
597C2×Dic118C2411yescharacteristic
598C2×Dic118C2411yescharacteristic
599C2×Dic118C2411yescharacteristic
600C2×Dic118C2411yescharacteristic
601Q16×C59—22no—
602Q16×C59—41no—
603Q16×C59—41no—
604M16×C59—41no—
605C2×C8×C59—41no—
606C2×C8×C59C2411yescharacteristic
607C2×C8×C59C2411yescharacteristic
608C2×C8×C59C2411yescharacteristic
609C2×C8×C59C2411yescharacteristic
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59C2×D411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59C2×D411yescharacteristic
632C22⋊C4×C59C2×D411yescharacteristic
633C42×C59—21no—
634C42×C59—21no—
635C42×C59—21no—
636C42×C59C2411yescharacteristic
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59C2×D411yescharacteristic
641C22⋊Dic59C2×D411yescharacteristic
642#11745672—22no—
643#11745672—22no—
644#11745672—22no—
645#11745672—41no—
646#11745672—41no—
647#11745672—41no—
648#11745672—41no—
649#11745672—41no—
650#11745672—41no—
651#11745671—22no—
652#11745671—41no—
653#11745671—41no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4C2×D411yescharacteristic
672(C2×D59)⋊C4C2×D411yescharacteristic
673(C2×D59)⋊C4C2×D411yescharacteristic
674(C2×D59)⋊C4C2×D411yescharacteristic
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59—21no—
680C4⋊Dic59—21no—
681C4⋊Dic59—21no—
682C4⋊Dic59—21no—
683C4⋊Dic59—21no—
684C4⋊Dic59—21no—
685C4⋊Dic59C2×D411yescharacteristic
686C4⋊Dic59C2411yescharacteristic
687C4⋊Dic59C2411yescharacteristic
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4C2×D411yescharacteristic
708Dic59⋊C4C2×D411yescharacteristic
709C4×Dic59—21no—
710C4×Dic59—21no—
711C4×Dic59—21no—
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59C2×D411yescharacteristic
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2411yescharacteristic
718#11745664—41no—
719C2×C59⋊C8—41no—
720C2×C59⋊C8C2411yescharacteristic
721C2×C59⋊C8C2411yescharacteristic
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724Dic236—22no—
725Dic236—22no—
726Dic236—41no—
727Dic236—41no—
728Dic236—41no—
729Dic236—41no—
730#11745660—22no—
731#11745660—41no—
732#11745660—41no—
733#11745659—41no—
734#11745659—41no—
735C8×D59—41no—
736C8×D59—41no—
737C23×C59C22×D411yescharacteristic
738C23×C59C22×D411yescharacteristic
739C22×D59—22no—
740C22×D59—22no—
741C22×D59—22no—
742C22×D59—22no—
743C22×D59—21no—
744C22×D59—41no—
745C22×D59—41no—
746C22×D59C22×D411yescharacteristic
747C22×D59C22×D411yescharacteristic
748C22×D59C22×D411yescharacteristic
749Q8×C59—21no—
750Q8×C59—21no—
751Q8×C59—21no—
752Q8×C59—21no—
753Q8×C59—21no—
754Q8×C59—21no—
755Q8×C59—21no—
756Q8×C59—42no—
757Q8×C59—42no—
758Q8×C59H(5,𝔽2)12yes—
759D4×C59—22no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—42no—
773C2×C4×C59—42no—
774C2×C4×C59—42no—
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C22×D411yescharacteristic
777C2×C4×C59C22×D411yescharacteristic
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C2511yescharacteristic
780C22⋊D59—22no—
781C22⋊D59—42no—
782C22⋊D59—81no—
783C22⋊D59#13714yescomplemented
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—41no—
792C2×Dic59—41no—
793C2×Dic59—42no—
794C2×Dic59—42no—
795C2×Dic59—81no—
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801D236—22no—
802D236—21no—
803D236—21no—
804D236—42no—
805D236—42no—
806D236—81no—
807C4×D59—24no—
808C4×D59—22no—
809C4×D59—21no—
810C4×D59—21no—
811C4×D59—21no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—21no—
815C4×D59—22no—
816C4×D59—41no—
817C4×D59—41no—
818C4×D59—41no—
819C4×D59—41no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—81no—
830C4×D59—81no—
831C4×D59—81no—
832Dic118—24no—
833Dic118—21no—
834Dic118—21no—
835Dic118—21no—
836Dic118—21no—
837Dic118—21no—
838Dic118—21no—
839Dic118—21no—
840Dic118—21no—
841Dic118—21no—
842Dic118—42no—
843Dic118—42no—
844Dic118—42no—
845Dic118—42no—
846Dic118—42no—
847Dic118—42no—
848Dic118—42no—
849Dic118—42no—
850Dic118—42no—
851Dic118—81no—
852Dic118—81no—
853Dic118H(5,𝔽2)12yes—
854C8×C59—21no—
855C8×C59—21no—
856C8×C59—21no—
857C8×C59—21no—
858C59⋊C8—21no—
859C59⋊C8—21no—
860C59⋊C8—21no—
861C59⋊C8—21no—
862#61602—591nomaximal, Sylow
863C22×C59—21no—
864C22×C59—21no—
865C22×C59—21no—
866C22×C59—21no—
867C22×C59—21no—
868C22×C59C2×#13712yes—
869C22×C59C23×D411yescharacteristic
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—21no—
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—44no—
878C2×D59—44no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59C2×#13712yes—
883C2×D59#57812yes—
884C4×C59—22no—
885C4×C59—21no—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—21no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59—41no—
895C4×C59—41no—
896C4×C59C2×H(5,𝔽2)11yescharacteristic
897C4×C59C2×H(5,𝔽2)11yescharacteristic
898Dic59—21no—
899Dic59—22no—
900Dic59—21no—
901Dic59—21no—
902Dic59—21no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907Dic59—41no—
908Dic59—41no—
909Dic59C2×#13712yes—
910#3520—591no—
911C2×D4×Q8—591no—
912#3328—591no—
913#3328—591no—
914#3312—591no—
915#3312—591no—
916#3312—591no—
917#3312D5911yescharacteristic, complemented
918#3298—591no—
919#3298—591no—
920D4×Q16—591no—
921D4×Q16—591no—
922#3276—591no—
923#3276—591no—
924#3270—591no—
925#3270—591no—
926#3270—591no—
927#3270—591no—
928#3218—591no—
929#3209—591no—
930#3195—591no—
931#3195—591no—
932#3190—591no—
933#3190—591no—
934#3113—591no—
935#3108—591no—
936#3004—591no—
937#3004—591no—
938C2×#451—591no—
939C2×#451—591no—
940#2974—591no—
941C2×C59—22no—
942C2×C59—41no—
943C2×C59#348411yescharacteristic
944C2×C59C22×#13711yescharacteristic
945C2×C59C2×#57811yescharacteristic
946D59—22no—
947D59—22no—
948D59—41no—
949D59—81no—
950C23×Q8—591no—
951C23×Q8—591no—
952C2×#137—591no—
953C2×#137—591no—
954C2×#137—591no—
955C2×#137—591no—
956C22×Q16—591no—
957C22×Q16—591no—
958C22×Q16—591no—
959C22×Q16—591no—
960#556—591no—
961#554—1181no—
962#552—591no—
963#552C2×D5911yescharacteristic
964#551—1181no—
965#551—1181no—
966D4×Q8—591no—
967D4×Q8—591no—
968D4×Q8—591no—
969D4×Q8—591no—
970D4×Q8—591no—
971D4×Q8—591no—
972D4×Q8—591no—
973D4×Q8—591no—
974D4×Q8—1181no—
975D4×Q8—1181no—
976D4×Q8—1181no—
977D4×Q8—1181no—
978D4×Q8C2×D5911yescharacteristic
979#548—591no—
980#548—591no—
981#547—591no—
982#547—591no—
983#546—1181no—
984#542—1181no—
985#539—1181no—
986#539—1181no—
987#533—591no—
988C2×C4⋊Q8—591no—
989C2×C4⋊Q8—1181no—
990#529—591no—
991#525—591no—
992#525—591no—
993C2×C22⋊Q8—591no—
994C2×C22⋊Q8—591no—
995C2×C22⋊Q8—591no—
996C2×C22⋊Q8—591no—
997C2×C22⋊Q8—1181no—
998C2×C22⋊Q8—1181no—
999#520—1181no—
1000C2×C4×Q8—591no—
1001C2×C4×D4—591no—
1002C2×C4×D4—1181no—
1003#497—591no—
1004#497—591no—
1005#494—591no—
1006#494—591no—
1007#491—591no—
1008#491C2×D5911yescharacteristic, complemented
1009#487—591no—
1010#487—591no—
1011#485—591no—
1012#485—591no—
1013#485—591no—
1014#485C2×D5911yescharacteristic, complemented
1015#483—591no—
1016#483—591no—
1017#483—591no—
1018#483—591no—
1019#483—591no—
1020#483—591no—
1021#483C2×D5911yescharacteristic, complemented
1022#480—591no—
1023#479—591no—
1024#479C2×D5911yescharacteristic, complemented
1025#475—591no—
1026#475—591no—
1027#470—591no—
1028#470—591no—
1029#470—591no—
1030#470—591no—
1031#470—591no—
1032#470—591no—
1033#470—591no—
1034#470C2×D5911yescharacteristic, complemented
1035#467—591no—
1036#467—591no—
1037#467—591no—
1038#467C2×D5911yescharacteristic, complemented
1039#465—591no—
1040#465—591no—
1041#465—591no—
1042#465—591no—
1043#464—591no—
1044#464—591no—
1045#462—591no—
1046#462—591no—
1047#462—591no—
1048#462—591no—
1049#462—591no—
1050#462—591no—
1051#462—591no—
1052#462C2×D5911yescharacteristic, complemented
1053#461—591no—
1054#461—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#452—591no—
1059#451—591no—
1060#451—591no—
1061#451—591no—
1062#451—591no—
1063#451—591no—
1064#451—591no—
1065#451—591no—
1066#451—591no—
1067#451—591no—
1068#451—591no—
1069#451—591no—
1070#451—591no—
1071#451—591no—
1072#451—591no—
1073#451—591no—
1074#451—591no—
1075#451—591no—
1076#451—591no—
1077#451—591no—
1078#451—591no—
1079#451—591no—
1080#451—591no—
1081#451—591no—
1082#451C2×D5911yescharacteristic, complemented
1083#451C2×D5911yescharacteristic, complemented
1084#448—591no—
1085#448—591no—
1086#448—591no—
1087#448—591no—
1088#448—591no—
1089#448—591no—
1090#448—591no—
1091#441—591no—
1092#441—591no—
1093#441—591no—
1094#441C2×D5911yescharacteristic, complemented
1095C4×Q16—591no—
1096C4×Q16—591no—
1097C4×SD16—591no—
1098C4×SD16—591no—
1099#436—591no—
1100#436—591no—
1101#435—591no—
1102#435—591no—
1103#435—591no—
1104#435C2×D5911yescharacteristic
1105C8×D4—591no—
1106C8×D4—591no—
1107#432—591no—
1108#431—591no—
1109#419—591no—
1110#419—591no—
1111#419—591no—
1112#419C2×D5911yescharacteristic, complemented
1113C2×#103—591no—
1114C2×#103—591no—
1115C2×#103—591no—
1116C2×#103C2×D5911yescharacteristic, complemented
1117#407—591no—
1118#407—591no—
1119C2×C22⋊C8—591no—
1120C2×C22⋊C8—591no—
1121C59#6160211yescharacteristic, complemented, Sylow
1122C2×#41—591no—
1123C2×#41—591no—
1124C2×#41—1181no—
1125C22×Q8—591no—
1126C22×Q8—591no—
1127C22×Q8—591no—
1128C22×Q8—591no—
1129C22×Q8—591no—
1130C22×Q8—591no—
1131C22×Q8—591no—
1132C22×Q8—591no—
1133C22×Q8—591no—
1134C22×Q8—591no—
1135C22×Q8—591no—
1136C22×Q8—1181no—
1137C22×Q8—1181no—
1138C22×Q8—1181no—
1139C22×Q8—1181no—
1140C22×Q8—1181no—
1141C22×Q8—1181no—
1142C22×Q8—2362no—
1143C22×Q8—2362no—
1144C22×Q8—2362no—
1145C22×Q8—2362no—
1146C22×Q8C22×D5911yescharacteristic
1147C22×Q8C22×D5911yescharacteristic
1148C22×D4—591no—
1149C23×C4—591no—
1150C23×C4—591no—
1151C23×C4—1181no—
1152C23×C4—1181no—
1153#137—2362no—
1154#137—2362no—
1155#137—2362no—
1156#137—2362no—
1157C2×Q16—591no—
1158C2×Q16—591no—
1159C2×Q16—591no—
1160C2×Q16—591no—
1161C2×Q16—591no—
1162C2×Q16—591no—
1163C2×Q16—591no—
1164C2×Q16—591no—
1165C2×Q16—591no—
1166C2×Q16—591no—
1167C2×Q16—591no—
1168C2×Q16—591no—
1169C2×Q16—591no—
1170C2×Q16—591no—
1171C2×Q16—591no—
1172C2×Q16—2362no—
1173C2×Q16—2362no—
1174C2×Q16—2362no—
1175C2×Q16—2362no—
1176C2×Q16C22×D5911yescharacteristic
1177C2×Q16C22×D5911yescharacteristic
1178C2×Q16C22×D5911yescharacteristic
1179C2×SD16—591no—
1180C2×SD16—591no—
1181C2×SD16—591no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×M16—591no—
1186C2×M16—591no—
1187C2×M16—591no—
1188C2×M16C22×D5911yescharacteristic
1189C22×C8—591no—
1190C22×C8—591no—
1191C22×C8—591no—
1192C22×C8C22×D5911yescharacteristic
1193C4⋊Q8—21no—
1194C4⋊Q8—591no—
1195C4⋊Q8—591no—
1196C4⋊Q8—591no—
1197C4⋊Q8—591no—
1198C4⋊Q8—591no—
1199C4⋊Q8—1181no—
1200C4⋊Q8—1181no—
1201C4⋊Q8—1181no—
1202C4⋊Q8—1181no—
1203C4⋊Q8—1181no—
1204C4⋊Q8—1181no—
1205C4⋊Q8—1181no—
1206C4⋊Q8—1181no—
1207C4⋊Q8—1181no—
1208C4⋊Q8—1181no—
1209C4⋊Q8C22×D5911yescharacteristic
1210#126—21no—
1211#126—1181no—
1212#126—1181no—
1213#126—1181no—
1214#126—1181no—
1215#125—21no—
1216#125—1181no—
1217#125—1181no—
1218#125C22×D5911yescharacteristic
1219#124—591no—
1220#124—1181no—
1221#124—1181no—
1222#124—1181no—
1223#123—21no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232C22⋊Q8—21no—
1233C22⋊Q8—21no—
1234C22⋊Q8—591no—
1235C22⋊Q8—591no—
1236C22⋊Q8—591no—
1237C22⋊Q8—591no—
1238C22⋊Q8—591no—
1239C22⋊Q8—591no—
1240C22⋊Q8—591no—
1241C22⋊Q8—591no—
1242C22⋊Q8—591no—
1243C22⋊Q8—591no—
1244C22⋊Q8—591no—
1245C22⋊Q8—591no—
1246C22⋊Q8—591no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249C22⋊Q8—1181no—
1250C22⋊Q8—1181no—
1251C22⋊Q8—1181no—
1252C22⋊Q8—1181no—
1253C22⋊Q8—1181no—
1254C22⋊Q8—1181no—
1255C22⋊Q8—1181no—
1256C22⋊Q8—1181no—
1257C22⋊Q8—1181no—
1258C22⋊Q8—1181no—
1259C22⋊Q8—1181no—
1260C22⋊Q8—1181no—
1261C22⋊Q8—1181no—
1262C22⋊Q8—1181no—
1263C22⋊Q8—1181no—
1264C22⋊Q8—1181no—
1265C22⋊Q8—1181no—
1266C22⋊Q8—1181no—
1267C22⋊Q8—1181no—
1268C22⋊Q8—1181no—
1269C22⋊Q8—1181no—
1270C22⋊Q8—1181no—
1271C22⋊Q8—1181no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8C22×D5911yescharacteristic
1276C22⋊Q8C22×D5911yescharacteristic
1277C22⋊Q8C22×D5911yescharacteristic
1278C22⋊Q8C22×D5911yescharacteristic
1279#121—591no—
1280#121—591no—
1281#121—591no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#120—1181no—
1286#120—1181no—
1287C4×Q8—591no—
1288C4×Q8—591no—
1289C4×Q8—591no—
1290C4×Q8—591no—
1291C4×Q8—591no—
1292C4×Q8—1181no—
1293C4×Q8—1181no—
1294C4×Q8—1181no—
1295C4×Q8—1181no—
1296C4×Q8C22×D5911yescharacteristic
1297C4×Q8C22×D5911yescharacteristic
1298C4×D4—21no—
1299C4×D4—591no—
1300C4×D4—591no—
1301C4×D4—591no—
1302C4×D4—591no—
1303C4×D4—591no—
1304C4×D4—591no—
1305C4×D4—591no—
1306C4×D4—591no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4—1181no—
1314C4×D4—1181no—
1315C4×D4—1181no—
1316C4×D4—1181no—
1317C4×D4—1181no—
1318C4×D4—1181no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4C22×D5911yescharacteristic
1323#117—21no—
1324#117—591no—
1325#117—1181no—
1326#117—1181no—
1327#117—1181no—
1328#117C22×D5911yescharacteristic
1329C2×C4⋊C4—591no—
1330C2×C4⋊C4—591no—
1331C2×C4⋊C4—591no—
1332C2×C4⋊C4—1181no—
1333C2×C4⋊C4—1181no—
1334C2×C4⋊C4—1181no—
1335C2×C4⋊C4—1181no—
1336C2×C4⋊C4—1181no—
1337C2×C4⋊C4—1181no—
1338C2×C4⋊C4—1181no—
1339C2×C4⋊C4—1181no—
1340C2×C4⋊C4C22×D5911yescharacteristic
1341C2×C22⋊C4—591no—
1342C2×C22⋊C4—591no—
1343C2×C22⋊C4—1181no—
1344C2×C22⋊C4—1181no—
1345C2×C22⋊C4—1181no—
1346C2×C22⋊C4—1181no—
1347C2×C42—591no—
1348C2×C42—1181no—
1349#107—591no—
1350#107C22×D5911yescharacteristic
1351#106—591no—
1352#106—591no—
1353#106—591no—
1354#106—591no—
1355#106C22×D5911yescharacteristic
1356#106C22×D5911yescharacteristic
1357C4⋊C8—591no—
1358C4⋊C8—591no—
1359C4⋊C8—591no—
1360C4⋊C8C22×D5911yescharacteristic
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103—591no—
1369#103—591no—
1370#103—591no—
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103C22×D5911yescharacteristic
1382#103C22×D5911yescharacteristic
1383#103C22×D5911yescharacteristic
1384#103C22×D5911yescharacteristic
1385#103C22×D5911yescharacteristic
1386#103C22×D5911yescharacteristic
1387#103C22×D5911yescharacteristic
1388#103C22×D5911yescharacteristic
1389#103C22×D5911yescharacteristic
1390#103C22×D5911yescharacteristic
1391#102—591no—
1392#102—591no—
1393C22⋊C8—591no—
1394C22⋊C8—591no—
1395C22⋊C8—591no—
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8—591no—
1401C22⋊C8—591no—
1402C22⋊C8—591no—
1403C22⋊C8C22×D5911yescharacteristic
1404C22⋊C8C22×D5911yescharacteristic
1405#97—591no—
1406#97C22×D5911yescharacteristic
1407C4×C8—591no—
1408C4×C8—591no—
1409C24—591no—
1410C24—591no—
1411#41—2361no—
1412#41—2361no—
1413#41—2364no—
1414#41—2361no—
1415#41—2361no—
1416C2×Q8—21no—
1417C2×Q8—21no—
1418C2×Q8—22no—
1419C2×Q8—22no—
1420C2×Q8—41no—
1421C2×Q8—41no—
1422C2×Q8—591no—
1423C2×Q8—591no—
1424C2×Q8—591no—
1425C2×Q8—591no—
1426C2×Q8—591no—
1427C2×Q8—1181no—
1428C2×Q8—1181no—
1429C2×Q8—1181no—
1430C2×Q8—1181no—
1431C2×Q8—1181no—
1432C2×Q8—1181no—
1433C2×Q8—1181no—
1434C2×Q8—1181no—
1435C2×Q8—1181no—
1436C2×Q8—1182no—
1437C2×Q8—1182no—
1438C2×Q8—1182no—
1439C2×Q8—1182no—
1440C2×Q8—1181no—
1441C2×Q8—1181no—
1442C2×Q8—1181no—
1443C2×Q8—1182no—
1444C2×Q8—1182no—
1445C2×Q8—1182no—
1446C2×Q8—1182no—
1447C2×Q8—2361no—
1448C2×Q8—2361no—
1449C2×Q8—2361no—
1450C2×Q8—2361no—
1451C2×Q8—2364no—
1452C2×Q8—2364no—
1453C2×Q8—2361no—
1454C2×Q8—2361no—
1455C2×Q8—2361no—
1456C2×Q8—2361no—
1457C2×Q8—2361no—
1458C2×Q8—2361no—
1459C2×Q8—2361no—
1460C2×Q8—2361no—
1461C2×Q8—2361no—
1462C2×Q8—2361no—
1463C2×Q8—2364no—
1464C2×Q8—2364no—
1465C2×Q8—2364no—
1466C2×Q8—2364no—
1467C2×Q8C23×D5911yescharacteristic
1468C2×Q8C23×D5911yescharacteristic
1469C2×Q8C23×D5911yescharacteristic
1470C2×Q8C23×D5911yescharacteristic
1471C2×D4—591no—
1472C2×D4—591no—
1473C2×D4—591no—
1474C2×D4—591no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1184no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4D4×D5911yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—591no—
1486C22×C4—591no—
1487C22×C4—591no—
1488C22×C4—591no—
1489C22×C4—591no—
1490C22×C4—591no—
1491C22×C4—591no—
1492C22×C4—591no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—1181no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—2361no—
1513C22×C4—2361no—
1514C22×C4—2361no—
1515C22×C4—2361no—
1516C22×C4—2364no—
1517C22×C4—2364no—
1518C22×C4C23×D5911yescharacteristic
1519C22×C4C23×D5911yescharacteristic
1520Q16—22no—
1521Q16—41no—
1522Q16—41no—
1523Q16—1182no—
1524Q16—1182no—
1525Q16—1182no—
1526Q16—1182no—
1527Q16—1182no—
1528Q16—2361no—
1529Q16—2361no—
1530Q16—2361no—
1531Q16—2361no—
1532Q16—2361no—
1533Q16—2361no—
1534Q16—2361no—
1535Q16—2361no—
1536Q16—2361no—
1537Q16—2361no—
1538SD16—1182no—
1539SD16—1182no—
1540SD16—2361no—
1541SD16—2361no—
1542SD16—2361no—
1543SD16—2361no—
1544M16—41no—
1545M16—2361no—
1546M16—2361no—
1547M16—2361no—
1548C2×C8—41no—
1549C2×C8—591no—
1550C2×C8—591no—
1551C2×C8—591no—
1552C2×C8—591no—
1553C2×C8—2361no—
1554C2×C8—2361no—
1555C2×C8—2361no—
1556C2×C8C23×D5911yescharacteristic
1557C2×C8C23×D5911yescharacteristic
1558C2×C8C23×D5911yescharacteristic
1559C2×C8C23×D5911yescharacteristic
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—591no—
1572C4⋊C4—591no—
1573C4⋊C4—591no—
1574C4⋊C4—591no—
1575C4⋊C4—591no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4—1181no—
1586C4⋊C4—1181no—
1587C4⋊C4—1181no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4D4×D5911yescharacteristic
1606C4⋊C4C23×D5911yescharacteristic
1607C4⋊C4C23×D5911yescharacteristic
1608C4⋊C4C23×D5911yescharacteristic
1609C4⋊C4C23×D5911yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—591no—
1616C22⋊C4—591no—
1617C22⋊C4—591no—
1618C22⋊C4—591no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4—1181no—
1627C22⋊C4—1181no—
1628C22⋊C4—1181no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4D4×D5911yescharacteristic
1642C22⋊C4D4×D5911yescharacteristic
1643C42—21no—
1644C42—21no—
1645C42—21no—
1646C42—591no—
1647C42—591no—
1648C42—591no—
1649C42—1181no—
1650C42—1181no—
1651C42—1181no—
1652C42—1181no—
1653C42—1181no—
1654C42—1181no—
1655C42C23×D5911yescharacteristic
1656C23—591no—
1657C23—591no—
1658C23—591no—
1659C23—1182no—
1660C23—1182no—
1661C23—1182no—
1662C23—1182no—
1663C23—1181no—
1664C23—2361no—
1665C23—2361no—
1666C23C2×D4×D5911yescharacteristic
1667C23C2×D4×D5911yescharacteristic
1668Q8—21no—
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—21no—
1673Q8—21no—
1674Q8—21no—
1675Q8—42no—
1676Q8—42no—
1677Q8—592no—
1678Q8—1184no—
1679Q8—1181no—
1680Q8—1181no—
1681Q8—1181no—
1682Q8—1181no—
1683Q8—1181no—
1684Q8—1181no—
1685Q8—1181no—
1686Q8—1181no—
1687Q8—1181no—
1688Q8—4721no—
1689Q8—4721no—
1690Q8—2362no—
1691Q8—2362no—
1692Q8—2362no—
1693Q8—2362no—
1694Q8—2362no—
1695Q8—2362no—
1696Q8—2362no—
1697Q8—2362no—
1698Q8—2362no—
1699Q8#1427377312yes—
1700D4—22no—
1701D4—594no—
1702D4—1182no—
1703D4—1182no—
1704D4—1181no—
1705D4—1181no—
1706D4—4721no—
1707D4—4721no—
1708D4—2362no—
1709D4—2362no—
1710D4—2362no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—42no—
1724C2×C4—42no—
1725C2×C4—42no—
1726C2×C4—591no—
1727C2×C4—591no—
1728C2×C4—591no—
1729C2×C4—591no—
1730C2×C4—591no—
1731C2×C4—1182no—
1732C2×C4—1182no—
1733C2×C4—1184no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—4721no—
1748C2×C4—4721no—
1749C2×C4—4721no—
1750C2×C4—4721no—
1751C2×C4—2361no—
1752C2×C4—2361no—
1753C2×C4—2361no—
1754C2×C4—2361no—
1755C2×C4—2362no—
1756C2×C4—2362no—
1757C2×C4—2362no—
1758C2×C4—2362no—
1759C2×C4—2362no—
1760C2×C4—2362no—
1761C2×C4—2362no—
1762C2×C4—2362no—
1763C2×C4—2362no—
1764C2×C4—2361no—
1765C2×C4—2361no—
1766C2×C4—2362no—
1767C2×C4—2362no—
1768C2×C4C2×D4×D5911yescharacteristic
1769C2×C4C2×D4×D5911yescharacteristic
1770C2×C4C2×D4×D5911yescharacteristic
1771C2×C4C2×D4×D5911yescharacteristic
1772C2×C4C24×D5911yescharacteristic
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—21no—
1777C8—1181no—
1778C8—1181no—
1779C8—1181no—
1780C8—1181no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—592no—
1787C22—592no—
1788C22—1181no—
1789C22—1181no—
1790C22—1181no—
1791C22—1181no—
1792C22—1181no—
1793C22—1181no—
1794C22—1181no—
1795C22—2364no—
1796C22—2364no—
1797C22—2361no—
1798C22—2361no—
1799C22—2361no—
1800C22#137×D5912yes—
1801C22C22×D4×D5911yescharacteristic
1802C4—21no—
1803C4—21no—
1804C4—22no—
1805C4—21no—
1806C4—21no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—592no—
1815C4—1181no—
1816C4—1181no—
1817C4—1181no—
1818C4—1182no—
1819C4—1181no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4—2361no—
1826C4H(5,𝔽2)×D5911yescharacteristic
1827C4C2×#1427377311yescharacteristic
1828C2—22no—
1829C2—41no—
1830C2—1182no—
1831C2—1182no—
1832C2—4721no—
1833C2—2361no—
1834C2#2143772611yescharacteristic
1835C2C2×#137×D5911yescharacteristic
1836C2#578×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3312C2
socleC22×C59C23×D4
prime radical#21438142C2
hypercenter#3312D59
hypocenterC59#61602
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3312

Complements

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

NH ≅ G/Ntype
2. D4×Q8×D59C2semidirect
3. #21436377C2semidirect
4. #21436375C2semidirect
5. #21436146C2semidirect
6. #21436144C2semidirect
7. #21436141C2semidirect
8. #21435959C2semidirect
9. #21435957C2semidirect
10. #21435845C2semidirect
11. #21435841C2semidirect
12. #21435739C2semidirect
13. #21435735C2semidirect
14. #21435672C2semidirect
15. #21435671C2semidirect
16. #21435668C2semidirect
17. #21435667C2semidirect
18. #21435124C2semidirect
19. #21435043C2semidirect
20. #21434919C2semidirect
21. #21434916C2semidirect
22. #21434881C2semidirect
23. #21434878C2semidirect
24. #21434224C2semidirect
25. #21434181C2semidirect
26. #21433332C2semidirect
27. #21433331C2semidirect
28. C2×#16837559C2semidirect
29. #451×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3312C2semidirect
34. C2×#14273760C22semidirect
35. C2×#14273759C22semidirect
36. C2×#14273759C22semidirect
37. C2×#14273758C22semidirect
38. C22×Dic236C22semidirect
39. C22×#11745672C22semidirect
40. C2×Q16×D59C22semidirect
41. C2×Q16×D59C22semidirect
83. #16837796C22semidirect
84. #16837794C22semidirect
85. #16837780C22semidirect
86. #16837780C22semidirect
87. #16837772C22semidirect
88. #16837751C22semidirect
89. #16837751C22semidirect
90. #16837745C22semidirect
91. #16837743C22semidirect
92. #16837741C22semidirect
95. #16837734C22semidirect
96. #16837732C22semidirect
98. #16837731C22semidirect
100. #16837706C22semidirect
101. #16837686C22semidirect
102. #16837685C22semidirect
103. #16837661C22semidirect
104. #16837661C22semidirect
105. #16837660C22semidirect
106. #16837659C22semidirect
107. #16837659C22semidirect
108. #16837658C22semidirect
109. #16837658C22semidirect
110. #16837644C22semidirect
111. #16837642C22semidirect
112. #16837641C22semidirect
113. #16837634C22semidirect
114. #16837633C22semidirect
115. #16837632C22semidirect
116. #16837631C22semidirect
117. #16837625C22semidirect
118. #16837624C22semidirect
119. #16837613C22semidirect
120. #16837612C22semidirect
121. #16837611C22semidirect
122. #16837611C22semidirect
123. #16837611C22semidirect
124. #16837610C22semidirect
125. #16837609C22semidirect
126. #16837606C22semidirect
127. #16837606C22semidirect
128. #16837567C22semidirect
129. #16837566C22semidirect
130. #16837563C22semidirect
131. #16837562C22semidirect
132. #16837560C22semidirect
133. #16837560C22semidirect
140. #16837559C22semidirect
141. #16837559C22semidirect
142. #16837559C22semidirect
143. #16837559C22semidirect
144. #16837559C22semidirect
145. #16837559C22semidirect
146. #16837559C22semidirect
147. #16837558C22semidirect
148. #16837557C22semidirect
149. #16837557C22semidirect
150. #16837557C22semidirect
154. #16837556C22semidirect
155. #16837543C22semidirect
159. #16837542C22semidirect
160. #16837542C22semidirect
161. #16837541C22semidirect
162. #16837510C22semidirect
163. #16837507C22semidirect
164. #16837507C22semidirect
165. #16837496C22semidirect
166. #16837494C22semidirect
167. #16837489C22semidirect
168. #16837487C22semidirect
178. #16837410C22semidirect
179. #16837409C22semidirect
180. #16837409C22semidirect
181. C2×#14273650C22semidirect
182. #103×D59C22semidirect
183. #103×D59C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#483C22semidirect
193. C59×#479C22semidirect
194. C59×#470C22semidirect
195. C59×#467C22semidirect
196. C59×#462C22semidirect
197. C59×#451C22semidirect
198. C59×#451C22semidirect
199. C59×#441C22semidirect
201. C59×#419C22semidirect
202. C2×#103×C59C22semidirect
783. C22⋊D59#137semidirect
917. #3312D59semidirect
1008. #491C2×D59semidirect
1014. #485C2×D59semidirect
1021. #483C2×D59semidirect
1024. #479C2×D59semidirect
1034. #470C2×D59semidirect
1038. #467C2×D59semidirect
1052. #462C2×D59semidirect
1082. #451C2×D59semidirect
1083. #451C2×D59semidirect
1094. #441C2×D59semidirect
1112. #419C2×D59semidirect
1116. C2×#103C2×D59semidirect
1121. C59#61602semidirect

Maximal subgroups

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

subgroupindex
#214381422
D4×Q8×D592
#214363772
#214363752
#214361462
#214361442
#214361412
#214359592
#214359572
#214358452
#214358412
#214357392
#214357352
#214356722
#214356712
#214356682
#214356672
#214351242
#214350432
#214349192
#214349162
#214348812
#214348782
#214342242
#214341812
#214333322
#214333312
C2×#168375592
#451×D592
#214331262
C59×#33122
#6160259