Finite Group Databasebeta

← #29474072

Subgroups — #29474072

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#21438138C211yesmaximal, characteristic
2D4×Q8×D59C211yesmaximal, characteristic, complemented
3#21436374C211yesmaximal, characteristic, complemented
4#21436372C211yesmaximal, characteristic, complemented
5#21436154C211yesmaximal, characteristic, complemented
6#21436152C211yesmaximal, characteristic, complemented
7#21436149C211yesmaximal, characteristic, complemented
8#21436147C211yesmaximal, characteristic, complemented
9#21435956C211yesmaximal, characteristic, complemented
10#21435954C211yesmaximal, characteristic, complemented
11Q16×C22⋊D59C211yesmaximal, characteristic, complemented
12#21435841C211yesmaximal, characteristic, complemented
13#21435740C211yesmaximal, characteristic, complemented
14#21435736C211yesmaximal, characteristic, complemented
15#21435665C211yesmaximal, characteristic, complemented
16#21435662C211yesmaximal, characteristic, complemented
17#21435661C211yesmaximal, characteristic, complemented
18#21435119C211yesmaximal, characteristic, complemented
19#21435043C211yesmaximal, characteristic, complemented
20#21434918C211yesmaximal, characteristic, complemented
21#21434916C211yesmaximal, characteristic, complemented
22#21434875C211yesmaximal, characteristic, complemented
23#21434872C211yesmaximal, characteristic, complemented
24#21434224C211yesmaximal, characteristic, complemented
25#21434175C211yesmaximal, characteristic, complemented
26#21433328C211yesmaximal, characteristic, complemented
27#21433327C211yesmaximal, characteristic, complemented
28C2×#16837556C211yesmaximal, characteristic, complemented
29#451×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3270C211yesmaximal, characteristic, complemented
32C22×Q8×D59C2211yescharacteristic
33C22×Q8×D59C2211yescharacteristic
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273756C2211yescharacteristic, complemented
36C2×#14273756C2211yescharacteristic, complemented
37C22×#11745672C2211yescharacteristic, complemented
38C2×Q16×D59C2211yescharacteristic, complemented
39C2×Q16×D59C2211yescharacteristic, complemented
40#16838123C2211yescharacteristic
41#16838106—21no—
42#16838093C2211yescharacteristic
43#16838092C2211yescharacteristic
44#16838082—21no—
45#16838081—21no—
46Q8×D236C2211yescharacteristic
47D4×Dic118—21no—
48D4×Dic118C2211yescharacteristic
49#16838067—21no—
50#16838067C2211yescharacteristic
51Q8×C22⋊D59C2211yescharacteristic
52Q8×C22⋊D59C2211yescharacteristic
53Q8×C22⋊D59C2211yescharacteristic
54#16838065—21no—
55#16838065—21no—
56#16838065C2211yescharacteristic
57#16838065C2211yescharacteristic
58#16838060C2211yescharacteristic
59#16838052C2211yescharacteristic
60#16838051C2211yescharacteristic
61#16838041—21no—
62#16838016—21no—
63#16837998—21no—
64#16837997—21no—
65#16837956C2211yescharacteristic
66C4⋊Q8×D59—21no—
67C4⋊Q8×D59C2211yescharacteristic
68#16837931C2211yescharacteristic
69#16837912C2211yescharacteristic
70#16837909C2211yescharacteristic
71C2×#14273703C2211yescharacteristic
72C22⋊Q8×D59—21no—
73C22⋊Q8×D59—21no—
74C22⋊Q8×D59C2211yescharacteristic
75C22⋊Q8×D59C2211yescharacteristic
76C22⋊Q8×D59C2211yescharacteristic
77#16837881—21no—
78C4×Q8×D59C2211yescharacteristic
79C4×D4×D59—21no—
80C4×D4×D59C2211yescharacteristic
81#16837797C2211yescharacteristic, complemented
82#16837780C2211yescharacteristic, complemented
83#16837780C2211yescharacteristic, complemented
84#16837771C2211yescharacteristic, complemented
85#16837770C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837746C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837740C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic
93#16837734C2211yescharacteristic, complemented
94#16837733C2211yescharacteristic, complemented
95#16837731C2211yescharacteristic
96#16837731C2211yescharacteristic
97#16837731C2211yescharacteristic, complemented
98#16837730C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic
100#16837710C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837686C2211yescharacteristic, complemented
103#16837685C2211yescharacteristic, complemented
104#16837660C2211yescharacteristic, complemented
105#16837659C2211yescharacteristic, complemented
106#16837659C2211yescharacteristic, complemented
107#16837658C2211yescharacteristic, complemented
108#16837658C2211yescharacteristic, complemented
109#16837657C2211yescharacteristic, complemented
110#16837657C2211yescharacteristic, complemented
111#16837643C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837641C2211yescharacteristic, complemented
114#16837640C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837621C2211yescharacteristic, complemented
119#16837613C2211yescharacteristic, complemented
120#16837612C2211yescharacteristic, complemented
121#16837611C2211yescharacteristic, complemented
122#16837610C2211yescharacteristic, complemented
123#16837610C2211yescharacteristic, complemented
124#16837610C2211yescharacteristic, complemented
125#16837609C2211yescharacteristic, complemented
126#16837605C2211yescharacteristic, complemented
127#16837605C2211yescharacteristic, complemented
128#16837565C2211yescharacteristic, complemented
129#16837564C2211yescharacteristic, complemented
130#16837561C2211yescharacteristic, complemented
131#16837560C2211yescharacteristic, complemented
132#16837560C2211yescharacteristic, complemented
133#16837559C2211yescharacteristic
134#16837559C2211yescharacteristic
135#16837559C2211yescharacteristic
136#16837559C2211yescharacteristic, complemented
137#16837558C2211yescharacteristic, complemented
138#16837558C2211yescharacteristic, complemented
139#16837558C2211yescharacteristic, complemented
140#16837557C2211yescharacteristic, complemented
141#16837556C2211yescharacteristic
142#16837556C2211yescharacteristic
143#16837556C2211yescharacteristic
144#16837556C2211yescharacteristic
145#16837556C2211yescharacteristic
146#16837556C2211yescharacteristic
147#16837556C2211yescharacteristic, complemented
148#16837556C2211yescharacteristic, complemented
149#16837556C2211yescharacteristic, complemented
150#16837556C2211yescharacteristic, complemented
151#16837556C2211yescharacteristic, complemented
152#16837556C2211yescharacteristic, complemented
153#16837556C2211yescharacteristic, complemented
154#16837540C2211yescharacteristic, complemented
155#16837539C2211yescharacteristic
156#16837539C2211yescharacteristic
157#16837539C2211yescharacteristic
158#16837539C2211yescharacteristic, complemented
159#16837539C2211yescharacteristic, complemented
160#16837510C2211yescharacteristic, complemented
161#16837507C2211yescharacteristic, complemented
162#16837507C2211yescharacteristic, complemented
163Q16×Dic59C2211yescharacteristic, complemented
164#16837494C2211yescharacteristic, complemented
165#16837493C2211yescharacteristic, complemented
166SD16×Dic59C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic
168#16837477C2211yescharacteristic
169#16837475C2211yescharacteristic
170#16837474C2211yescharacteristic
171#16837472C2211yescharacteristic
172C8×C22⋊D59C2211yescharacteristic
173(C22⋊D59)⋊C8C2211yescharacteristic
174#16837457C2211yescharacteristic
175#16837454C2211yescharacteristic
176#16837412C2211yescharacteristic, complemented
177#16837411C2211yescharacteristic, complemented
178#16837409C2211yescharacteristic, complemented
179#16837409C2211yescharacteristic, complemented
180C2×#14273652C2211yescharacteristic, complemented
181C2×#14273651C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic
185#16837364C2211yescharacteristic
186C2×(C2×D59)⋊C8C2211yescharacteristic
187C22⋊C8×D59C2211yescharacteristic
188C2×#137×C59C2211yescharacteristic, complemented
189C22×Q16×C59C2211yescharacteristic, complemented
190D4×Q8×C59C2211yescharacteristic
191C59×#548C2211yescharacteristic
192C59×#497C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#451C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C59×#441C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic
203C2×#11745687—21no—
204C2×#11745687C2311yescharacteristic
205C22×Dic118—21no—
206C22×Dic118—21no—
207C22×Dic118C2311yescharacteristic
208C22×Dic118C2311yescharacteristic
209C2×Q8×D59—21no—
210C2×Q8×D59—21no—
211C2×Q8×D59—21no—
212C2×Q8×D59—21no—
213C2×Q8×D59—42no—
214C2×Q8×D59—42no—
215C2×Q8×D59—42no—
216C2×Q8×D59—42no—
217C2×Q8×D59C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×Q8×D59C2311yescharacteristic
224C2×Q8×D59C2311yescharacteristic
225C2×D4×D59D411yescharacteristic
226C22×C4×D59—21no—
227C22×C4×D59—21no—
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230#14273757—42no—
231#14273756—42no—
232#14273756—42no—
233C2×Dic236C2311yescharacteristic
234C2×Dic236C2311yescharacteristic
235C2×Dic236C2311yescharacteristic
236C2×#11745672—42no—
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745672C2311yescharacteristic
244C2×#11745672C2311yescharacteristic
245C2×#11745672C2311yescharacteristic
246Q16×D59—42no—
247Q16×D59—42no—
248C2×#11745670C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745664C2311yescharacteristic
252C2×#11745659C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C22×C59⋊C8C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257#14273727—21no—
258#14273727C2311yescharacteristic
259#14273726—21no—
260#14273726—21no—
261#14273726—21no—
262#14273726—21no—
263#14273726—21no—
264#14273726—21no—
265#14273726C2311yescharacteristic
266#14273725—21no—
267#14273725—21no—
268#14273725—21no—
269#14273725C2311yescharacteristic
270#14273725C2311yescharacteristic
271#14273725C2311yescharacteristic
272#14273722—21no—
273#14273721—21no—
274#14273720—21no—
275#14273720—21no—
276#14273720—21no—
277#14273719C2311yescharacteristic
278#14273717—21no—
279#14273717—21no—
280#14273717—21no—
281#14273713—21no—
282#14273713—21no—
283#14273712—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273707—21no—
293#14273707—21no—
294#14273707C2311yescharacteristic
295#14273707C2311yescharacteristic
296#14273707C2311yescharacteristic
297#14273706—21no—
298#14273706—21no—
299#14273706—21no—
300#14273706C2311yescharacteristic
301#14273706C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273706C2311yescharacteristic
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273704—21no—
313#14273704—21no—
314#14273704—21no—
315#14273704—21no—
316#14273704—21no—
317#14273704—21no—
318#14273704—21no—
319#14273704—21no—
320#14273704—21no—
321#14273703—21no—
322#14273703—21no—
323#14273703—21no—
324#14273703—21no—
325#14273703—21no—
326#14273703C2311yescharacteristic
327#14273703C2311yescharacteristic
328#14273703C2311yescharacteristic
329#14273703C2311yescharacteristic
330#14273703C2311yescharacteristic
331#14273703C2311yescharacteristic
332#14273703C2311yescharacteristic
333#14273700—21no—
334#14273699—21no—
335#14273698C2311yescharacteristic
336#14273698C2311yescharacteristic
337#14273695—21no—
338#14273695—21no—
339Q8×Dic59C2311yescharacteristic
340Q8×Dic59C2311yescharacteristic
341C4×Dic118—21no—
342C4×Dic118—21no—
343C4×Dic118C2311yescharacteristic
344C4×Dic118C2311yescharacteristic
345#14273692—21no—
346#14273692—21no—
347#14273692C2311yescharacteristic
348C4×D236—21no—
349C4×D236C2311yescharacteristic
350D4×Dic59—21no—
351D4×Dic59—21no—
352D4×Dic59D411yescharacteristic
353D4×Dic59C2311yescharacteristic
354#14273689—21no—
355#14273689D411yescharacteristic
356C4×C22⋊D59—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59C2311yescharacteristic
362C4×C22⋊D59C2311yescharacteristic
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4D411yescharacteristic
369(C22⋊D59)⋊C4D411yescharacteristic
370#14273686C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273684—21no—
373#14273684—21no—
374#14273683—21no—
375#14273683—21no—
376C2×C4⋊Dic59C2311yescharacteristic
377C2×Dic59⋊C4—21no—
378C2×Dic59⋊C4—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59—21no—
385C4⋊C4×D59D411yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C2×(C2×D59)⋊C4—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59D411yescharacteristic
393C22⋊C4×D59D411yescharacteristic
394C42×D59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273652C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273651C2311yescharacteristic
420#14273651C2311yescharacteristic
421#14273651C2311yescharacteristic
422#14273651C2311yescharacteristic
423#14273651C2311yescharacteristic
424#14273651C2311yescharacteristic
425#14273651C2311yescharacteristic
426#14273651C2311yescharacteristic
427#14273650C2311yescharacteristic
428#14273650C2311yescharacteristic
429#14273650C2311yescharacteristic
430#14273650C2311yescharacteristic
431#14273648C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
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#14273638C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C22×Q8×C59C2311yescharacteristic
447C22×Q8×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449#137×C59—42no—
450C2×Q16×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×Q16×C59C2311yescharacteristic
454C2×Q16×C59C2311yescharacteristic
455C2×Q16×C59C2311yescharacteristic
456C2×Q16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×SD16×C59C2311yescharacteristic
459C2×SD16×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462C4⋊Q8×C59—21no—
463C4⋊Q8×C59C2311yescharacteristic
464#124×C59—21no—
465#124×C59C2311yescharacteristic
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59—21no—
468C22⋊Q8×C59—21no—
469C22⋊Q8×C59C2311yescharacteristic
470C22⋊Q8×C59C2311yescharacteristic
471C22⋊Q8×C59C2311yescharacteristic
472#121×C59—21no—
473#121×C59C2311yescharacteristic
474C4×Q8×C59C2311yescharacteristic
475C4×Q8×C59C2311yescharacteristic
476C4×D4×C59—21no—
477C4×D4×C59—21no—
478C4×D4×C59C2311yescharacteristic
479#106×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#103×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59C2×D411yescharacteristic
491C23×D59C2×D411yescharacteristic
492#41×C59—41no—
493#41×C59—41no—
494C2×Q8×C59—21no—
495C2×Q8×C59—21no—
496C2×Q8×C59—21no—
497C2×Q8×C59—22no—
498C2×Q8×C59—22no—
499C2×Q8×C59—41no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59—41no—
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×Q8×C59C2411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59C2×D411yescharacteristic
522C2×C22⋊D59C2×D411yescharacteristic
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59C2×D411yescharacteristic
529C22×Dic59C2×D411yescharacteristic
530Q8×D59—22no—
531Q8×D59—22no—
532Q8×D59—22no—
533Q8×D59—22no—
534Q8×D59—22no—
535Q8×D59—22no—
536Q8×D59—41no—
537Q8×D59—41no—
538Q8×D59—41no—
539Q8×D59—41no—
540Q8×D59—41no—
541Q8×D59—41no—
542Q8×D59—41no—
543Q8×D59—41no—
544Q8×D59—44no—
545Q8×D59—44no—
546Q8×D59—41no—
547Q8×D59—41no—
548Q8×D59—44no—
549Q8×D59—44no—
550#11745687—41no—
551#11745687—41no—
552#11745687—44no—
553D4×D59—24no—
554C2×D236C2×D411yescharacteristic
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—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—41no—
566C2×C4×D59—41no—
567C2×C4×D59—41no—
568C2×C4×D59—41no—
569C2×C4×D59—44no—
570C2×C4×D59—44no—
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2×D411yescharacteristic
576C2×C4×D59C2×D411yescharacteristic
577C2×C4×D59C2411yescharacteristic
578C2×C4×D59C2411yescharacteristic
579C2×C4×D59C2411yescharacteristic
580C2×Dic118—21no—
581C2×Dic118—22no—
582C2×Dic118—22no—
583C2×Dic118—21no—
584C2×Dic118—21no—
585C2×Dic118—21no—
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118—21no—
590C2×Dic118—21no—
591C2×Dic118—21no—
592C2×Dic118—21no—
593C2×Dic118—41no—
594C2×Dic118—41no—
595C2×Dic118—44no—
596C2×Dic118—44no—
597C2×Dic118C2411yescharacteristic
598C2×Dic118C2411yescharacteristic
599C2×Dic118C2411yescharacteristic
600C2×Dic118C2411yescharacteristic
601Q16×C59—22no—
602Q16×C59—22no—
603Q16×C59—41no—
604Q16×C59—41no—
605Q16×C59—41no—
606Q16×C59—41no—
607SD16×C59—22no—
608SD16×C59—41no—
609SD16×C59—41no—
610M16×C59—41no—
611C2×C8×C59—41no—
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59C2×D411yescharacteristic
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×C59—21no—
632C22⋊C4×C59C2×D411yescharacteristic
633C22⋊C4×C59C2×D411yescharacteristic
634C42×C59—21no—
635C42×C59—21no—
636C42×C59C2411yescharacteristic
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59C2×D411yescharacteristic
646C22⋊Dic59C2×D411yescharacteristic
647#11745672—22no—
648#11745672—22no—
649#11745672—22no—
650#11745672—41no—
651#11745672—41no—
652#11745672—41no—
653#11745672—41no—
654#11745672—41no—
655#11745672—41no—
656#11745670—22no—
657#11745670—41no—
658#11745670—41no—
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)⋊C4C2×D411yescharacteristic
671(C2×D59)⋊C4C2×D411yescharacteristic
672(C2×D59)⋊C4C2×D411yescharacteristic
673(C2×D59)⋊C4C2×D411yescharacteristic
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59—21no—
680C4⋊Dic59—21no—
681C4⋊Dic59—21no—
682C4⋊Dic59C2×D411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684C4⋊Dic59C2411yescharacteristic
685C4⋊Dic59C2411yescharacteristic
686C4⋊Dic59C2411yescharacteristic
687Dic59⋊C4—21no—
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⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4C2×D411yescharacteristic
713Dic59⋊C4C2×D411yescharacteristic
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59C2×D411yescharacteristic
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2411yescharacteristic
724#11745664—41no—
725C2×C59⋊C8—41no—
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730Dic236—22no—
731Dic236—41no—
732Dic236—41no—
733#11745659—41no—
734#11745659—41no—
735C8×D59—41no—
736C8×D59—41no—
737C23×C59—21no—
738C23×C59C22×D411yescharacteristic
739C23×C59C22×D411yescharacteristic
740C22×D59—22no—
741C22×D59—22no—
742C22×D59—22no—
743C22×D59—22no—
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—21no—
757Q8×C59—21no—
758Q8×C59—42no—
759Q8×C59—42no—
760Q8×C59—81no—
761Q8×C59H(5,𝔽2)12yes—
762D4×C59—22no—
763D4×C59—21no—
764D4×C59—21no—
765D4×C59—42no—
766D4×C59—81no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—42no—
779C2×C4×C59—42no—
780C2×C4×C59—81no—
781C2×C4×C59—81no—
782C2×C4×C59C22×D411yescharacteristic
783C2×C4×C59C22×D411yescharacteristic
784C2×C4×C59C22×D411yescharacteristic
785C2×C4×C59C22×D411yescharacteristic
786C2×C4×C59C2511yescharacteristic
787C22⋊D59—22no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—81no—
791C22⋊D59#13714yescomplemented
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—41no—
801C2×Dic59—41no—
802C2×Dic59—42no—
803C2×Dic59—42no—
804C2×Dic59—42no—
805C2×Dic59—42no—
806C2×Dic59—81no—
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812D236—22no—
813C4×D59—24no—
814C4×D59—22no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—21no—
819C4×D59—21no—
820C4×D59—21no—
821C4×D59—22no—
822C4×D59—41no—
823C4×D59—41no—
824C4×D59—41no—
825C4×D59—41no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—42no—
830C4×D59—42no—
831C4×D59—42no—
832C4×D59—42no—
833C4×D59—42no—
834C4×D59—81no—
835Dic118—24no—
836Dic118—21no—
837Dic118—21no—
838Dic118—21no—
839Dic118—21no—
840Dic118—21no—
841Dic118—21no—
842Dic118—21no—
843Dic118—42no—
844Dic118—42no—
845Dic118—42no—
846Dic118—42no—
847Dic118—42no—
848Dic118—42no—
849Dic118—42no—
850Dic118—42no—
851Dic118—42no—
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×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59C2×#13712yes—
872C22×C59C23×D411yescharacteristic
873C2×D59—21no—
874C2×D59—21no—
875C2×D59—21no—
876C2×D59—21no—
877C2×D59—21no—
878C2×D59—21no—
879C2×D59—21no—
880C2×D59—44no—
881C2×D59—44no—
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×C59C2×H(5,𝔽2)11yescharacteristic
896C4×C59C2×H(5,𝔽2)11yescharacteristic
897Dic59—21no—
898Dic59—22no—
899Dic59—21no—
900Dic59—21no—
901Dic59—21no—
902Dic59—41no—
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#3312—591no—
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#3270D5911yescharacteristic, complemented
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—81no—
944C2×C59#348411yescharacteristic
945C2×C59C22×#13711yescharacteristic
946C2×C59C2×#57811yescharacteristic
947D59—22no—
948D59—22no—
949D59—41no—
950C23×Q8—591no—
951C23×Q8—591no—
952C2×#137—591no—
953C2×#137—591no—
954C2×#137—591no—
955C2×#137C2×D5911yescharacteristic, complemented
956C22×Q16—591no—
957C22×Q16—591no—
958C22×Q16—591no—
959C22×Q16C2×D5911yescharacteristic, complemented
960#556—591no—
961#554—1181no—
962#552—591no—
963#552—591no—
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#548C2×D5911yescharacteristic
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#497C2×D5911yescharacteristic, complemented
1005#494—591no—
1006#494—591no—
1007#491—591no—
1008#491—591no—
1009#487—591no—
1010#487—591no—
1011#485—591no—
1012#485—591no—
1013#485—591no—
1014#485—591no—
1015#483—591no—
1016#483—591no—
1017#483—591no—
1018#483—591no—
1019#483—591no—
1020#483—591no—
1021#483—591no—
1022#480—591no—
1023#479—591no—
1024#479—591no—
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#467—591no—
1039#465—591no—
1040#465—591no—
1041#465—591no—
1042#465C2×D5911yescharacteristic, complemented
1043#464—591no—
1044#464C2×D5911yescharacteristic, complemented
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#452C2×D5911yescharacteristic, complemented
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#448C2×D5911yescharacteristic, complemented
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#419—591no—
1113C2×#103—591no—
1114C2×#103—591no—
1115C2×#103—591no—
1116C2×#103—591no—
1117#407—591no—
1118#407—591no—
1119C2×C22⋊C8—591no—
1120C2×C22⋊C8—591no—
1121C59#6160211yescharacteristic, complemented, Sylow
1122C2×#41—591no—
1123C2×#41—1181no—
1124C2×#41C22×D5911yescharacteristic
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—1181no—
1136C22×Q8—1181no—
1137C22×Q8—1181no—
1138C22×Q8—1181no—
1139C22×Q8—1181no—
1140C22×Q8—1181no—
1141C22×Q8—2362no—
1142C22×Q8—2362no—
1143C22×Q8—2362no—
1144C22×Q8—2362no—
1145C22×Q8C22×D5911yescharacteristic
1146C22×Q8C22×D5911yescharacteristic
1147C22×Q8C22×D5911yescharacteristic
1148C22×D4—591no—
1149C23×C4—591no—
1150C23×C4—591no—
1151C23×C4—1181no—
1152C23×C4—1181no—
1153#137—42no—
1154#137—2362no—
1155#137—2362no—
1156#137—2362no—
1157C2×Q16—42no—
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—2362no—
1171C2×Q16—2362no—
1172C2×Q16—2362no—
1173C2×Q16C22×D5911yescharacteristic
1174C2×Q16C22×D5911yescharacteristic
1175C2×Q16C22×D5911yescharacteristic
1176C2×Q16C22×D5911yescharacteristic
1177C2×Q16C22×D5911yescharacteristic
1178C2×Q16C22×D5911yescharacteristic
1179C2×SD16—591no—
1180C2×SD16—591no—
1181C2×SD16—591no—
1182C2×SD16C22×D5911yescharacteristic
1183C2×SD16C22×D5911yescharacteristic
1184C2×SD16C22×D5911yescharacteristic
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—1181no—
1211#126—1181no—
1212#126—1181no—
1213#126—1181no—
1214#126—1181no—
1215#125—591no—
1216#125—1181no—
1217#125—1181no—
1218#125—1181no—
1219#124—21no—
1220#124—1181no—
1221#124—1181no—
1222#124C22×D5911yescharacteristic
1223#123—1181no—
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—21no—
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—591no—
1248C22⋊Q8—591no—
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⋊Q8—1181no—
1276C22⋊Q8C22×D5911yescharacteristic
1277C22⋊Q8C22×D5911yescharacteristic
1278C22⋊Q8C22×D5911yescharacteristic
1279#121—21no—
1280#121—591no—
1281#121—591no—
1282#121—1181no—
1283#121—1181no—
1284#121C22×D5911yescharacteristic
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—21no—
1300C4×D4—591no—
1301C4×D4—591no—
1302C4×D4—591no—
1303C4×D4—591no—
1304C4×D4—591no—
1305C4×D4—591no—
1306C4×D4—591no—
1307C4×D4—591no—
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—591no—
1324#117—591no—
1325#117—1181no—
1326#117—1181no—
1327#117—1181no—
1328#117—1181no—
1329C2×C4⋊C4—591no—
1330C2×C4⋊C4—591no—
1331C2×C4⋊C4—591no—
1332C2×C4⋊C4—591no—
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⋊C4—1181no—
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#107—591no—
1351#106—591no—
1352#106—591no—
1353#106—591no—
1354#106—591no—
1355#106—591no—
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#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103C22×D5911yescharacteristic
1387#103C22×D5911yescharacteristic
1388#103C22×D5911yescharacteristic
1389#103C22×D5911yescharacteristic
1390#103C22×D5911yescharacteristic
1391#102—591no—
1392#102C22×D5911yescharacteristic
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—41no—
1412#41—41no—
1413#41—2361no—
1414#41—2361no—
1415#41—2364no—
1416C2×Q8—21no—
1417C2×Q8—21no—
1418C2×Q8—21no—
1419C2×Q8—22no—
1420C2×Q8—22no—
1421C2×Q8—41no—
1422C2×Q8—41no—
1423C2×Q8—41no—
1424C2×Q8—41no—
1425C2×Q8—591no—
1426C2×Q8—591no—
1427C2×Q8—591no—
1428C2×Q8—591no—
1429C2×Q8—1181no—
1430C2×Q8—1181no—
1431C2×Q8—1181no—
1432C2×Q8—1181no—
1433C2×Q8—1181no—
1434C2×Q8—1181no—
1435C2×Q8—1181no—
1436C2×Q8—1181no—
1437C2×Q8—1181no—
1438C2×Q8—1182no—
1439C2×Q8—1182no—
1440C2×Q8—1182no—
1441C2×Q8—1182no—
1442C2×Q8—1181no—
1443C2×Q8—1181no—
1444C2×Q8—1182no—
1445C2×Q8—1182no—
1446C2×Q8—1182no—
1447C2×Q8—1182no—
1448C2×Q8—2361no—
1449C2×Q8—2361no—
1450C2×Q8—2364no—
1451C2×Q8—2364no—
1452C2×Q8—2361no—
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—2364no—
1463C2×Q8—2364no—
1464C2×Q8—2364no—
1465C2×Q8—2364no—
1466C2×Q8C23×D5911yescharacteristic
1467C2×Q8C23×D5911yescharacteristic
1468C2×Q8C23×D5911yescharacteristic
1469C2×Q8C23×D5911yescharacteristic
1470C2×Q8C23×D5911yescharacteristic
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—591no—
1474C2×D4—591no—
1475C2×D4—591no—
1476C2×D4—1184no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4D4×D5911yescharacteristic
1481C2×D4C23×D5911yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
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—591no—
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—22no—
1522Q16—41no—
1523Q16—41no—
1524Q16—41no—
1525Q16—41no—
1526Q16—1182no—
1527Q16—1182no—
1528Q16—1182no—
1529Q16—1182no—
1530Q16—2361no—
1531Q16—2361no—
1532Q16—2361no—
1533Q16—2361no—
1534Q16—2361no—
1535Q16—2361no—
1536Q16—2361no—
1537Q16—2361no—
1538SD16—22no—
1539SD16—41no—
1540SD16—41no—
1541SD16—1182no—
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—591no—
1568C4⋊C4—591no—
1569C4⋊C4—591no—
1570C4⋊C4—591no—
1571C4⋊C4—591no—
1572C4⋊C4—591no—
1573C4⋊C4—591no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
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⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4D4×D5911yescharacteristic
1608C4⋊C4C23×D5911yescharacteristic
1609C4⋊C4C23×D5911yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—591no—
1617C22⋊C4—591no—
1618C22⋊C4—591no—
1619C22⋊C4—591no—
1620C22⋊C4—591no—
1621C22⋊C4—591no—
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—591no—
1646C42—591no—
1647C42—591no—
1648C42—1181no—
1649C42—1181no—
1650C42—1181no—
1651C42—1181no—
1652C42—1181no—
1653C42—1181no—
1654C42—1181no—
1655C42C23×D5911yescharacteristic
1656C23—21no—
1657C23—591no—
1658C23—591no—
1659C23—591no—
1660C23—1182no—
1661C23—1182no—
1662C23—1182no—
1663C23—1182no—
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—21no—
1676Q8—21no—
1677Q8—42no—
1678Q8—42no—
1679Q8—81no—
1680Q8—592no—
1681Q8—1184no—
1682Q8—1181no—
1683Q8—1181no—
1684Q8—1181no—
1685Q8—1181no—
1686Q8—1181no—
1687Q8—1181no—
1688Q8—1181no—
1689Q8—4721no—
1690Q8—2362no—
1691Q8—2362no—
1692Q8—2362no—
1693Q8—2362no—
1694Q8—2362no—
1695Q8—2362no—
1696Q8—2362no—
1697Q8—2362no—
1698Q8—2362no—
1699Q8#1427377212yes—
1700D4—22no—
1701D4—21no—
1702D4—21no—
1703D4—42no—
1704D4—81no—
1705D4—594no—
1706D4—1182no—
1707D4—1182no—
1708D4—4721no—
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—42no—
1723C2×C4—42no—
1724C2×C4—81no—
1725C2×C4—81no—
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—1181no—
1748C2×C4—4721no—
1749C2×C4—4721no—
1750C2×C4—2361no—
1751C2×C4—2361no—
1752C2×C4—2361no—
1753C2×C4—2361no—
1754C2×C4—2362no—
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—2361no—
1764C2×C4—2361no—
1765C2×C4—2362no—
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—41no—
1787C22—41no—
1788C22—41no—
1789C22—592no—
1790C22—592no—
1791C22—1181no—
1792C22—1181no—
1793C22—1181no—
1794C22—1181no—
1795C22—1181no—
1796C22—1181no—
1797C22—1181no—
1798C22—2364no—
1799C22—2364no—
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—592no—
1814C4—1181no—
1815C4—1181no—
1816C4—1181no—
1817C4—1182no—
1818C4—1181no—
1819C4—2361no—
1820C4—2361no—
1821C4—2361no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4—2361no—
1826C4H(5,𝔽2)×D5911yescharacteristic
1827C4C2×#1427377211yescharacteristic
1828C2—22no—
1829C2—41no—
1830C2—81no—
1831C2—1182no—
1832C2—1182no—
1833C2—2361no—
1834C2#2143772411yescharacteristic
1835C2C2×#137×D5911yescharacteristic
1836C2#578×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3270C2
socleC22×C59C23×D4
prime radical#21438138C2
hypercenter#3270D59
hypocenterC59#61602
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
2. D4×Q8×D59C2semidirect
3. #21436374C2semidirect
4. #21436372C2semidirect
5. #21436154C2semidirect
6. #21436152C2semidirect
7. #21436149C2semidirect
8. #21436147C2semidirect
9. #21435956C2semidirect
10. #21435954C2semidirect
11. Q16×C22⋊D59C2semidirect
12. #21435841C2semidirect
13. #21435740C2semidirect
14. #21435736C2semidirect
15. #21435665C2semidirect
16. #21435662C2semidirect
17. #21435661C2semidirect
18. #21435119C2semidirect
19. #21435043C2semidirect
20. #21434918C2semidirect
21. #21434916C2semidirect
22. #21434875C2semidirect
23. #21434872C2semidirect
24. #21434224C2semidirect
25. #21434175C2semidirect
26. #21433328C2semidirect
27. #21433327C2semidirect
28. C2×#16837556C2semidirect
29. #451×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3270C2semidirect
34. C2×#14273757C22semidirect
35. C2×#14273756C22semidirect
36. C2×#14273756C22semidirect
37. C22×#11745672C22semidirect
38. C2×Q16×D59C22semidirect
39. C2×Q16×D59C22semidirect
81. #16837797C22semidirect
82. #16837780C22semidirect
83. #16837780C22semidirect
84. #16837771C22semidirect
85. #16837770C22semidirect
86. #16837751C22semidirect
87. #16837751C22semidirect
88. #16837746C22semidirect
89. #16837744C22semidirect
90. #16837742C22semidirect
91. #16837740C22semidirect
93. #16837734C22semidirect
94. #16837733C22semidirect
97. #16837731C22semidirect
98. #16837730C22semidirect
100. #16837710C22semidirect
101. #16837709C22semidirect
102. #16837686C22semidirect
103. #16837685C22semidirect
104. #16837660C22semidirect
105. #16837659C22semidirect
106. #16837659C22semidirect
107. #16837658C22semidirect
108. #16837658C22semidirect
109. #16837657C22semidirect
110. #16837657C22semidirect
111. #16837643C22semidirect
112. #16837642C22semidirect
113. #16837641C22semidirect
114. #16837640C22semidirect
115. #16837630C22semidirect
116. #16837629C22semidirect
117. #16837628C22semidirect
118. #16837621C22semidirect
119. #16837613C22semidirect
120. #16837612C22semidirect
121. #16837611C22semidirect
122. #16837610C22semidirect
123. #16837610C22semidirect
124. #16837610C22semidirect
125. #16837609C22semidirect
126. #16837605C22semidirect
127. #16837605C22semidirect
128. #16837565C22semidirect
129. #16837564C22semidirect
130. #16837561C22semidirect
131. #16837560C22semidirect
132. #16837560C22semidirect
136. #16837559C22semidirect
137. #16837558C22semidirect
138. #16837558C22semidirect
139. #16837558C22semidirect
140. #16837557C22semidirect
147. #16837556C22semidirect
148. #16837556C22semidirect
149. #16837556C22semidirect
150. #16837556C22semidirect
151. #16837556C22semidirect
152. #16837556C22semidirect
153. #16837556C22semidirect
154. #16837540C22semidirect
158. #16837539C22semidirect
159. #16837539C22semidirect
160. #16837510C22semidirect
161. #16837507C22semidirect
162. #16837507C22semidirect
163. Q16×Dic59C22semidirect
164. #16837494C22semidirect
165. #16837493C22semidirect
166. SD16×Dic59C22semidirect
176. #16837412C22semidirect
177. #16837411C22semidirect
178. #16837409C22semidirect
179. #16837409C22semidirect
180. C2×#14273652C22semidirect
181. C2×#14273651C22semidirect
182. #103×D59C22semidirect
183. #103×D59C22semidirect
188. C2×#137×C59C22semidirect
189. C22×Q16×C59C22semidirect
192. C59×#497C22semidirect
193. C59×#470C22semidirect
194. C59×#465C22semidirect
195. C59×#464C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C59×#451C22semidirect
200. C59×#448C22semidirect
201. C59×#441C22semidirect
791. C22⋊D59#137semidirect
927. #3270D59semidirect
955. C2×#137C2×D59semidirect
959. C22×Q16C2×D59semidirect
1004. #497C2×D59semidirect
1034. #470C2×D59semidirect
1042. #465C2×D59semidirect
1044. #464C2×D59semidirect
1052. #462C2×D59semidirect
1058. #452C2×D59semidirect
1082. #451C2×D59semidirect
1083. #451C2×D59semidirect
1090. #448C2×D59semidirect
1094. #441C2×D59semidirect
1121. C59#61602semidirect

Maximal subgroups

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

subgroupindex
#214381382
D4×Q8×D592
#214363742
#214363722
#214361542
#214361522
#214361492
#214361472
#214359562
#214359542
Q16×C22⋊D592
#214358412
#214357402
#214357362
#214356652
#214356622
#214356612
#214351192
#214350432
#214349182
#214349162
#214348752
#214348722
#214342242
#214341752
#214333282
#214333272
C2×#168375562
#451×D592
#214331262
C59×#32702
#6160259