Finite Group Databasebeta

← #29474161

Subgroups — #29474161

Order 15104.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437935C211yesmaximal, characteristic, complemented
2#21436364C211yesmaximal, characteristic, complemented
3#21436312C211yesmaximal, characteristic, complemented
4#21436267C211yesmaximal, characteristic, complemented
5#21436237C211yesmaximal, characteristic, complemented
6#21436222C211yesmaximal, characteristic, complemented
7#21436192C211yesmaximal, characteristic, complemented
8#21435998C211yesmaximal, characteristic, complemented
9#21435946C211yesmaximal, characteristic, complemented
10#21435833C211yesmaximal, characteristic, complemented
11#21435799C211yesmaximal, characteristic, complemented
12#21435728C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435667C211yesmaximal, characteristic, complemented
15#21435637C211yesmaximal, characteristic, complemented
16#21435622C211yesmaximal, characteristic, complemented
17#21435587C211yesmaximal, characteristic, complemented
18#21435133C211yesmaximal, characteristic, complemented
19#21435072C211yesmaximal, characteristic, complemented
20#21434933C211yesmaximal, characteristic, complemented
21#21434922C211yesmaximal, characteristic, complemented
22#21434884C211yesmaximal, characteristic, complemented
23#21434857C211yesmaximal, characteristic, complemented
24#21434205C211yesmaximal, characteristic, complemented
25#21434114C211yesmaximal, characteristic, complemented
26#21433348C211yesmaximal, characteristic, complemented
27#21433338C211yesmaximal, characteristic, complemented
28#21433314C211yesmaximal, characteristic, complemented
29C2×#16837564C211yesmaximal, characteristic, complemented
30#21433131C211yesmaximal, characteristic, complemented
31D4×#41×C59C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273752C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C22×#11745672C2211yescharacteristic, complemented
39C22×#11745670C2211yescharacteristic, complemented
40#16838101—21no—
41#16838101—21no—
42#16838098C2211yescharacteristic
43#16838098C2211yescharacteristic, complemented
44#16838092C2211yescharacteristic, complemented
45#16838092C2211yescharacteristic, complemented
46#16838081—21no—
47#16838081—21no—
48#16838061C2211yescharacteristic
49#16838061C2211yescharacteristic, complemented
50#16838048C2211yescharacteristic, complemented
51#16838048C2211yescharacteristic, complemented
52#16837999—21no—
53#16837990—21no—
54#16837961—21no—
55#16837936C2211yescharacteristic, complemented
56#16837936C2211yescharacteristic, complemented
57#16837913C2211yescharacteristic, complemented
58#16837913C2211yescharacteristic, complemented
59C2×#14273706C2211yescharacteristic, complemented
60C2×#14273701C2211yescharacteristic, complemented
61#16837875—21no—
62#16837794C2211yescharacteristic, complemented
63#16837789C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837784C2211yescharacteristic, complemented
66#16837770C2211yescharacteristic, complemented
67#16837766C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic, complemented
69#16837756C2211yescharacteristic, complemented
70#16837743C2211yescharacteristic, complemented
71#16837743C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837740C2211yescharacteristic, complemented
74#16837735C2211yescharacteristic, complemented
75#16837735C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837723C2211yescharacteristic, complemented
79#16837723C2211yescharacteristic, complemented
80#16837718C2211yescharacteristic, complemented
81#16837718C2211yescharacteristic, complemented
82#16837709C2211yescharacteristic, complemented
83#16837709C2211yescharacteristic, complemented
84#16837702C2211yescharacteristic, complemented
85#16837702C2211yescharacteristic, complemented
86#16837658C2211yescharacteristic, complemented
87#16837658C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic, complemented
90#16837650C2211yescharacteristic, complemented
91#16837646C2211yescharacteristic, complemented
92#16837646C2211yescharacteristic, complemented
93#16837646C2211yescharacteristic, complemented
94#16837641C2211yescharacteristic, complemented
95#16837636C2211yescharacteristic, complemented
96#16837636C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic, complemented
98#16837633C2211yescharacteristic, complemented
99#16837633C2211yescharacteristic, complemented
100#16837633C2211yescharacteristic, complemented
101#16837629C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837624C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic, complemented
105#16837621C2211yescharacteristic, complemented
106#16837617C2211yescharacteristic, complemented
107#16837617C2211yescharacteristic, complemented
108#16837614C2211yescharacteristic, complemented
109#16837614C2211yescharacteristic, complemented
110#16837609C2211yescharacteristic, complemented
111#16837604C2211yescharacteristic, complemented
112#16837599C2211yescharacteristic, complemented
113#16837594C2211yescharacteristic, complemented
114#16837564C2211yescharacteristic, complemented
115#16837564C2211yescharacteristic, complemented
116#16837564C2211yescharacteristic, complemented
117#16837564C2211yescharacteristic, complemented
118#16837564C2211yescharacteristic, complemented
119#16837564C2211yescharacteristic, complemented
120#16837564C2211yescharacteristic, complemented
121#16837564C2211yescharacteristic, complemented
122#16837564C2211yescharacteristic, complemented
123#16837564C2211yescharacteristic, complemented
124#16837564C2211yescharacteristic, complemented
125#16837564C2211yescharacteristic, complemented
126#16837562C2211yescharacteristic, complemented
127#16837562C2211yescharacteristic, complemented
128#16837558C2211yescharacteristic, complemented
129#16837557C2211yescharacteristic, complemented
130#16837553C2211yescharacteristic, complemented
131#16837552C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic
133#16837547C2211yescharacteristic
134#16837547C2211yescharacteristic, complemented
135#16837547C2211yescharacteristic, complemented
136#16837547C2211yescharacteristic, complemented
137#16837547C2211yescharacteristic, complemented
138#16837547C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic, complemented
140#16837545C2211yescharacteristic, complemented
141#16837545C2211yescharacteristic, complemented
142#16837541C2211yescharacteristic, complemented
143#16837541C2211yescharacteristic, complemented
144#16837541C2211yescharacteristic, complemented
145#16837540C2211yescharacteristic, complemented
146#16837536C2211yescharacteristic, complemented
147#16837536C2211yescharacteristic, complemented
148#16837536C2211yescharacteristic, complemented
149#16837535C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837507C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154C4×#11745672C2211yescharacteristic, complemented
155C4×#11745671C2211yescharacteristic, complemented
156C4×#11745670C2211yescharacteristic, complemented
157C4×#11745669C2211yescharacteristic, complemented
158#16837480C2211yescharacteristic, complemented
159#16837480C2211yescharacteristic, complemented
160#16837474C2211yescharacteristic, complemented
161#16837474C2211yescharacteristic, complemented
162#16837474C2211yescharacteristic, complemented
163#16837474C2211yescharacteristic, complemented
164D4×C59⋊C8C2211yescharacteristic, complemented
165D4×C59⋊C8C2211yescharacteristic, complemented
166#16837459C2211yescharacteristic, complemented
167#16837455C2211yescharacteristic, complemented
168#16837411C2211yescharacteristic, complemented
169#16837407C2211yescharacteristic, complemented
170#16837403C2211yescharacteristic, complemented
171#16837403C2211yescharacteristic, complemented
172#16837398C2211yescharacteristic, complemented
173#16837398C2211yescharacteristic, complemented
174C2×#14273651C2211yescharacteristic, complemented
175C2×#14273648C2211yescharacteristic, complemented
176#16837366C2211yescharacteristic, complemented
177#16837366C2211yescharacteristic, complemented
178C2×C22⋊(C59⋊C8)C2211yescharacteristic, complemented
179C2×C22⋊(C59⋊C8)C2211yescharacteristic, complemented
180C22×#41×C59C2211yescharacteristic
181C22×#41×C59C2211yescharacteristic, complemented
182C59×#550C2211yescharacteristic
183D4×Q8×C59C2211yescharacteristic, complemented
184C59×#548C2211yescharacteristic
185C59×#548C2211yescharacteristic, complemented
186C59×#547—21no—
187C59×#547C2211yescharacteristic
188C59×#546—21no—
189C59×#546—21no—
190C59×#546C2211yescharacteristic
191C59×#546C2211yescharacteristic, complemented
192D42×C59—21no—
193D42×C59C2211yescharacteristic, complemented
194C59×#532—21no—
195C59×#532C2211yescharacteristic, complemented
196C59×#525—21no—
197C59×#525—21no—
198C59×#525C2211yescharacteristic
199C59×#525C2211yescharacteristic, complemented
200C4×#41×C59C2211yescharacteristic, complemented
201C2×C4×D4×C59—21no—
202C2×C4×D4×C59C2211yescharacteristic
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C22×Dic118C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×C22⋊D59—21no—
208#14273758—42no—
209#14273753—42no—
210#14273752—42no—
211#14273752—42no—
212#14273747—42no—
213#14273747—42no—
214C2×#11745672—42no—
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745670—42no—
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C22×C59⋊C8C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247C22×C59⋊C8C2311yescharacteristic
248#14273722—21no—
249#14273722—21no—
250#14273721—21no—
251#14273721—21no—
252#14273720—21no—
253#14273720—21no—
254#14273719C2311yescharacteristic
255#14273719C2311yescharacteristic
256#14273717—21no—
257#14273717—21no—
258#14273715C2311yescharacteristic
259#14273715C2311yescharacteristic
260#14273713—21no—
261#14273713—21no—
262#14273712—21no—
263#14273712—21no—
264#14273710—21no—
265#14273710—21no—
266#14273710—21no—
267#14273710—21no—
268#14273709—21no—
269#14273709—21no—
270#14273708—21no—
271#14273708—21no—
272#14273706—21no—
273#14273706—21no—
274#14273706C2311yescharacteristic
275#14273706C2311yescharacteristic
276#14273706C2311yescharacteristic
277#14273706C2311yescharacteristic
278#14273706C2311yescharacteristic
279#14273706C2311yescharacteristic
280#14273705—21no—
281#14273705—21no—
282#14273701—21no—
283#14273701—21no—
284#14273701C2311yescharacteristic
285#14273701C2311yescharacteristic
286#14273701C2311yescharacteristic
287#14273701C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273701C2311yescharacteristic
290#14273700—21no—
291#14273700—21no—
292#14273699—21no—
293#14273699—21no—
294#14273699—21no—
295#14273699—21no—
296#14273696—21no—
297#14273696—21no—
298#14273695—21no—
299#14273695—21no—
300C4×Dic118C2311yescharacteristic
301C4×Dic118C2311yescharacteristic
302C4×D236C2311yescharacteristic
303C4×D236C2311yescharacteristic
304C4×C22⋊D59—21no—
305C4×C22⋊D59—21no—
306C4×C22⋊D59—21no—
307C4×C22⋊D59—21no—
308C4×C22⋊D59—21no—
309C4×C22⋊D59—21no—
310(C22⋊D59)⋊C4—21no—
311(C22⋊D59)⋊C4—21no—
312(C22⋊D59)⋊C4—21no—
313(C22⋊D59)⋊C4—21no—
314#14273686C2311yescharacteristic
315#14273686C2311yescharacteristic
316#14273684—21no—
317#14273684—21no—
318#14273683—21no—
319#14273683—21no—
320C2×C4⋊Dic59C2311yescharacteristic
321C2×C4⋊Dic59C2311yescharacteristic
322C2×Dic59⋊C4—21no—
323C2×C22⋊Dic59—21no—
324C2×(C2×D59)⋊C4—21no—
325C22⋊C4×D59—21no—
326C22⋊C4×D59—21no—
327#14273660C2311yescharacteristic
328#14273660C2311yescharacteristic
329#14273660C2311yescharacteristic
330#14273660C2311yescharacteristic
331#14273658C2311yescharacteristic
332#14273658C2311yescharacteristic
333#14273658C2311yescharacteristic
334#14273658C2311yescharacteristic
335C4⋊(C59⋊C8)C2311yescharacteristic
336C4⋊(C59⋊C8)C2311yescharacteristic
337C4⋊(C59⋊C8)C2311yescharacteristic
338C4⋊(C59⋊C8)C2311yescharacteristic
339#14273651C2311yescharacteristic
340#14273651C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
346#14273651C2311yescharacteristic
347#14273651C2311yescharacteristic
348#14273651C2311yescharacteristic
349#14273651C2311yescharacteristic
350#14273651C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273648C2311yescharacteristic
366#14273648C2311yescharacteristic
367#14273647C2311yescharacteristic
368#14273647C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371C22⋊(C59⋊C8)C2311yescharacteristic
372C22⋊(C59⋊C8)C2311yescharacteristic
373C22⋊(C59⋊C8)C2311yescharacteristic
374C22⋊(C59⋊C8)C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379C22⋊(C59⋊C8)C2311yescharacteristic
380C22⋊(C59⋊C8)C2311yescharacteristic
381C22⋊(C59⋊C8)C2311yescharacteristic
382C22⋊(C59⋊C8)C2311yescharacteristic
383#14273638C2311yescharacteristic
384#14273638C2311yescharacteristic
385C4×C59⋊C8C2311yescharacteristic
386C4×C59⋊C8C2311yescharacteristic
387C2×#41×C59—21no—
388C2×#41×C59—21no—
389C2×#41×C59—21no—
390C2×#41×C59—21no—
391C2×#41×C59—42no—
392C2×#41×C59—42no—
393C2×#41×C59—42no—
394C2×#41×C59—42no—
395C2×#41×C59C2311yescharacteristic
396C2×#41×C59C2311yescharacteristic
397C2×#41×C59C2311yescharacteristic
398C2×#41×C59C2311yescharacteristic
399C2×#41×C59C2311yescharacteristic
400C2×#41×C59C2311yescharacteristic
401C2×#41×C59C2311yescharacteristic
402C22×Q8×C59C2311yescharacteristic
403C22×Q8×C59C2311yescharacteristic
404C22×D4×C59—21no—
405C22×D4×C59—21no—
406C22×D4×C59—21no—
407C22×D4×C59D411yescharacteristic
408C22×D4×C59C2311yescharacteristic
409C22×D4×C59C2311yescharacteristic
410C23×C4×C59—21no—
411C23×C4×C59—21no—
412C23×C4×C59C2311yescharacteristic
413C23×C4×C59C2311yescharacteristic
414C4⋊Q8×C59—21no—
415C4⋊Q8×C59C2311yescharacteristic
416#127×C59—21no—
417#127×C59C2311yescharacteristic
418#124×C59—21no—
419#124×C59—21no—
420#124×C59C2311yescharacteristic
421#124×C59C2311yescharacteristic
422#123×C59—21no—
423#123×C59—21no—
424#123×C59—21no—
425#123×C59—21no—
426#123×C59—21no—
427#123×C59—21no—
428C22⋊Q8×C59—21no—
429C22⋊Q8×C59—21no—
430C22⋊Q8×C59—21no—
431C22⋊Q8×C59—21no—
432C22⋊Q8×C59C2311yescharacteristic
433C22⋊Q8×C59C2311yescharacteristic
434C22⋊Q8×C59C2311yescharacteristic
435C22⋊Q8×C59C2311yescharacteristic
436#121×C59—21no—
437#121×C59—21no—
438#121×C59—21no—
439#121×C59—21no—
440#121×C59—21no—
441#121×C59—21no—
442#121×C59—21no—
443#121×C59—21no—
444#121×C59—21no—
445#121×C59—21no—
446#121×C59C2311yescharacteristic
447#121×C59C2311yescharacteristic
448#121×C59C2311yescharacteristic
449#121×C59C2311yescharacteristic
450#120×C59—21no—
451#120×C59—21no—
452#120×C59—21no—
453#120×C59—21no—
454#120×C59—21no—
455#120×C59—21no—
456C4×Q8×C59C2311yescharacteristic
457C4×Q8×C59C2311yescharacteristic
458C4×D4×C59—21no—
459C4×D4×C59—21no—
460C4×D4×C59—21no—
461C4×D4×C59—21no—
462C4×D4×C59—21no—
463C4×D4×C59—21no—
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59—21no—
467C4×D4×C59—21no—
468C4×D4×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59D411yescharacteristic
471C4×D4×C59D411yescharacteristic
472C4×D4×C59D411yescharacteristic
473C4×D4×C59D411yescharacteristic
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C4×D4×C59C2311yescharacteristic
479C4×D4×C59C2311yescharacteristic
480#117×C59—21no—
481#117×C59C2311yescharacteristic
482C2×C4⋊C4×C59—21no—
483C2×C4⋊C4×C59D411yescharacteristic
484C2×C22⋊C4×C59—21no—
485C2×C22⋊C4×C59—21no—
486C2×C22⋊C4×C59D411yescharacteristic
487C2×C22⋊C4×C59D411yescharacteristic
488C2×C42×C59—21no—
489C2×C42×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C24×C59C2×D411yescharacteristic
493C24×C59C2×D411yescharacteristic
494C23×D59—21no—
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—22no—
499#41×C59—22no—
500#41×C59—22no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—41no—
504#41×C59—41no—
505#41×C59—41no—
506#41×C59—41no—
507#41×C59—41no—
508#41×C59—41no—
509#41×C59—44no—
510#41×C59—44no—
511#41×C59—44no—
512#41×C59—44no—
513C2×Q8×C59—21no—
514C2×Q8×C59—21no—
515C2×Q8×C59—22no—
516C2×Q8×C59—22no—
517C2×Q8×C59—41no—
518C2×Q8×C59—41no—
519C2×Q8×C59C2411yescharacteristic
520C2×Q8×C59C2411yescharacteristic
521C2×Q8×C59C2411yescharacteristic
522C2×D4×C59—21no—
523C2×D4×C59—22no—
524C2×D4×C59—22no—
525C2×D4×C59—21no—
526C2×D4×C59—21no—
527C2×D4×C59—21no—
528C2×D4×C59—21no—
529C2×D4×C59—21no—
530C2×D4×C59—21no—
531C2×D4×C59—21no—
532C2×D4×C59—21no—
533C2×D4×C59—21no—
534C2×D4×C59—21no—
535C2×D4×C59—21no—
536C2×D4×C59—21no—
537C2×D4×C59—21no—
538C2×D4×C59—21no—
539C2×D4×C59—41no—
540C2×D4×C59—41no—
541C2×D4×C59—42no—
542C2×D4×C59—44no—
543C2×D4×C59—44no—
544C2×D4×C59—44no—
545C2×D4×C59C2×D411yescharacteristic
546C2×D4×C59C2×D411yescharacteristic
547C2×D4×C59C2×D411yescharacteristic
548C2×D4×C59C2×D411yescharacteristic
549C2×D4×C59C2411yescharacteristic
550C2×D4×C59C2411yescharacteristic
551C2×D4×C59C2411yescharacteristic
552C22×C4×C59—21no—
553C22×C4×C59—21no—
554C22×C4×C59—21no—
555C22×C4×C59—21no—
556C22×C4×C59—21no—
557C22×C4×C59—21no—
558C22×C4×C59—21no—
559C22×C4×C59—21no—
560C22×C4×C59—21no—
561C22×C4×C59—21no—
562C22×C4×C59—21no—
563C22×C4×C59—41no—
564C22×C4×C59—41no—
565C22×C4×C59—41no—
566C22×C4×C59—41no—
567C22×C4×C59—44no—
568C22×C4×C59—44no—
569C22×C4×C59C2×D411yescharacteristic
570C22×C4×C59C2×D411yescharacteristic
571C22×C4×C59C2×D411yescharacteristic
572C22×C4×C59C2×D411yescharacteristic
573C22×C4×C59C2×D411yescharacteristic
574C22×C4×C59C2×D411yescharacteristic
575C22×C4×C59C2×D411yescharacteristic
576C22×C4×C59C2×D411yescharacteristic
577C22×C4×C59C2411yescharacteristic
578C22×C4×C59C2411yescharacteristic
579C22×C4×C59C2411yescharacteristic
580C22×C4×C59C2411yescharacteristic
581C22×C4×C59C2411yescharacteristic
582C2×C22⋊D59—21no—
583C2×C22⋊D59—21no—
584C2×C22⋊D59—21no—
585C2×C22⋊D59—21no—
586C2×C22⋊D59—21no—
587C2×C22⋊D59—21no—
588C2×C22⋊D59—21no—
589C2×C22⋊D59—21no—
590C2×C22⋊D59—44no—
591C22×Dic59—21no—
592C22×Dic59—21no—
593C22×Dic59—21no—
594#11745685—41no—
595#11745685—41no—
596#11745685—41no—
597#11745685—41no—
598C2×D236—21no—
599C2×D236—41no—
600C2×D236—41no—
601C2×D236C2411yescharacteristic
602C2×D236C2411yescharacteristic
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×Dic118—21no—
608C2×Dic118—41no—
609C2×Dic118—41no—
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
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×C59C2×D411yescharacteristic
621C4⋊C4×C59C2×D411yescharacteristic
622C4⋊C4×C59C2×D411yescharacteristic
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×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59—21no—
641C22⋊C4×C59C2×D411yescharacteristic
642C22⋊C4×C59C2×D411yescharacteristic
643C22⋊C4×C59C2×D411yescharacteristic
644C22⋊C4×C59C2×D411yescharacteristic
645C22⋊C4×C59C2×D411yescharacteristic
646C22⋊C4×C59C2×D411yescharacteristic
647C22⋊C4×C59C2×D411yescharacteristic
648C22⋊C4×C59C2×D411yescharacteristic
649C42×C59—21no—
650C42×C59—21no—
651C42×C59—21no—
652C42×C59C2×D411yescharacteristic
653C42×C59C2×D411yescharacteristic
654C42×C59C2411yescharacteristic
655C42×C59C2411yescharacteristic
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664#11745672—22no—
665#11745672—22no—
666#11745672—41no—
667#11745672—41no—
668#11745672—41no—
669#11745672—41no—
670#11745671—22no—
671#11745671—22no—
672#11745671—41no—
673#11745671—41no—
674#11745671—41no—
675#11745671—41no—
676#11745670—22no—
677#11745670—22no—
678#11745670—41no—
679#11745670—41no—
680#11745670—41no—
681#11745670—41no—
682#11745669—22no—
683#11745669—22no—
684#11745669—41no—
685#11745669—41no—
686#11745669—41no—
687#11745669—41no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59—21no—
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722#11745664—41no—
723#11745664—41no—
724#11745664—41no—
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8—41no—
728C2×C59⋊C8—41no—
729C2×C59⋊C8—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C2×C59⋊C8C2411yescharacteristic
736C2×C59⋊C8C2411yescharacteristic
737C2×C59⋊C8C2411yescharacteristic
738C23×C59—21no—
739C23×C59—22no—
740C23×C59—21no—
741C23×C59—21no—
742C23×C59—41no—
743C23×C59—41no—
744C23×C59—41no—
745C23×C59—41no—
746C23×C59—41no—
747C23×C59—42no—
748C23×C59—42no—
749C23×C59—42no—
750C23×C59—42no—
751C23×C59—81no—
752C23×C59—81no—
753C23×C59C22×D411yescharacteristic
754C23×C59C22×D411yescharacteristic
755C23×C59C22×D411yescharacteristic
756C23×C59C22×D411yescharacteristic
757C23×C59C22×D411yescharacteristic
758C22×D59—21no—
759C22×D59—21no—
760C22×D59—42no—
761C22×D59—81no—
762C22×D59—81no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—42no—
769Q8×C59—42no—
770Q8×C59H(5,𝔽2)12yes—
771D4×C59—24no—
772D4×C59—22no—
773D4×C59—22no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—41no—
780D4×C59—41no—
781D4×C59—42no—
782D4×C59—42no—
783D4×C59—42no—
784D4×C59—42no—
785D4×C59—42no—
786D4×C59—42no—
787D4×C59—42no—
788D4×C59—42no—
789D4×C59—42no—
790D4×C59—42no—
791D4×C59—42no—
792D4×C59—81no—
793D4×C59—81no—
794D4×C59—81no—
795D4×C59H(5,𝔽2)12yes—
796C2×C4×C59—24no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—41no—
813C2×C4×C59—41no—
814C2×C4×C59—41no—
815C2×C4×C59—41no—
816C2×C4×C59—41no—
817C2×C4×C59—41no—
818C2×C4×C59—41no—
819C2×C4×C59—41no—
820C2×C4×C59—42no—
821C2×C4×C59—42no—
822C2×C4×C59—42no—
823C2×C4×C59—42no—
824C2×C4×C59—42no—
825C2×C4×C59—42no—
826C2×C4×C59—42no—
827C2×C4×C59—42no—
828C2×C4×C59—42no—
829C2×C4×C59—81no—
830C2×C4×C59C22×D411yescharacteristic
831C2×C4×C59C22×D411yescharacteristic
832C2×C4×C59C22×D411yescharacteristic
833C2×C4×C59C22×D411yescharacteristic
834C2×C4×C59C22×D411yescharacteristic
835C2×C4×C59C22×D411yescharacteristic
836C2×C4×C59C22×D411yescharacteristic
837C2×C4×C59C22×D411yescharacteristic
838C2×C4×C59C22×D411yescharacteristic
839C2×C4×C59C2511yescharacteristic
840C22⋊D59—42no—
841C22⋊D59—42no—
842C22⋊D59—42no—
843C22⋊D59—42no—
844C22⋊D59—81no—
845C22⋊D59—81no—
846C22⋊D59—81no—
847C22⋊D59—81no—
848C2×Dic59—21no—
849C2×Dic59—21no—
850C2×Dic59—21no—
851C2×Dic59—21no—
852C2×Dic59—21no—
853C2×Dic59—21no—
854C2×Dic59—42no—
855C2×Dic59—81no—
856C2×Dic59—81no—
857D236—21no—
858D236—21no—
859D236—21no—
860D236—21no—
861D236—81no—
862C4×D59—81no—
863C4×D59—81no—
864C4×D59—81no—
865C4×D59—81no—
866Dic118—21no—
867Dic118—21no—
868Dic118—21no—
869Dic118—21no—
870Dic118—81no—
871C59⋊C8—21no—
872C59⋊C8—21no—
873C59⋊C8—21no—
874C59⋊C8—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61606—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—21no—
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—22no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—82no—
904C22×C59—84no—
905C22×C59—82no—
906C22×C59—84no—
907C22×C59#57512yes—
908C22×C59C23×D411yescharacteristic
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—162no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—21no—
921C4×C59—21no—
922C4×C59—21no—
923C4×C59—22no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—41no—
927C4×C59—41no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59C2×H(5,𝔽2)11yescharacteristic
931C4×C59C2×H(5,𝔽2)11yescharacteristic
932Dic59—41no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3505—591no—
939D4×#41D5911yescharacteristic, complemented
940#3327—591no—
941#3323—591no—
942#3320—591no—
943#3318—591no—
944#3317—591no—
945#3315—591no—
946#3301—591no—
947#3297—591no—
948#3285—591no—
949#3282—591no—
950#3275—591no—
951#3273—591no—
952#3270—591no—
953#3268—591no—
954#3267—591no—
955#3265—591no—
956#3219—591no—
957#3212—591no—
958#3197—591no—
959#3196—591no—
960#3191—591no—
961#3188—591no—
962#3111—591no—
963#3102—591no—
964#3006—591no—
965#3005—591no—
966#3002—591no—
967C2×#452—591no—
968#2974—591no—
969C2×C59—22no—
970C2×C59—41no—
971C2×C59—41no—
972C2×C59—41no—
973C2×C59—41no—
974C2×C59—42no—
975C2×C59—81no—
976C2×C59—81no—
977C2×C59#348411yescharacteristic
978C2×C59C2×#57511yescharacteristic
979C2×C59#358411yescharacteristic
980D59—81no—
981D59—81no—
982C22×#41C2×D5911yescharacteristic
983C22×#41C2×D5911yescharacteristic, complemented
984C2×#137—591no—
985C2×AGL(1,ℤ/8)—591no—
986C2×AGL(1,ℤ/8)—591no—
987C2×AGL(1,ℤ/8)—591no—
988C2×#135—591no—
989C2×#135—591no—
990C22×Q16—591no—
991C22×SD16—591no—
992#553—591no—
993#553—591no—
994#553—1181no—
995#553—1181no—
996#552—591no—
997#552—591no—
998#551—1181no—
999#551—1181no—
1000#550C2×D5911yescharacteristic
1001D4×Q8C2×D5911yescharacteristic, complemented
1002#548—591no—
1003#548—591no—
1004#548C2×D5911yescharacteristic
1005#548C2×D5911yescharacteristic, complemented
1006#547—21no—
1007#547C2×D5911yescharacteristic
1008#546—21no—
1009#546—21no—
1010#546—591no—
1011#546—591no—
1012#546C2×D5911yescharacteristic
1013#546C2×D5911yescharacteristic, complemented
1014D42—21no—
1015D42C2×D5911yescharacteristic, complemented
1016#539—1181no—
1017#538—1181no—
1018#534—1181no—
1019#532—21no—
1020#532C2×D5911yescharacteristic, complemented
1021#529—591no—
1022#529—591no—
1023#525—21no—
1024#525—21no—
1025#525—591no—
1026#525—591no—
1027#525C2×D5911yescharacteristic
1028#525C2×D5911yescharacteristic, complemented
1029C2×C22⋊Q8—591no—
1030C2×#121—591no—
1031#518—1181no—
1032C4×#41C2×D5911yescharacteristic, complemented
1033C2×C4×D4—21no—
1034C2×C4×D4C2×D5911yescharacteristic
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#495—591no—
1039#491—591no—
1040#490—591no—
1041#488—591no—
1042#488—591no—
1043#485—591no—
1044#485—591no—
1045#485—591no—
1046#485—591no—
1047#484—591no—
1048#484—591no—
1049#482—591no—
1050#482—591no—
1051#482—591no—
1052#482—591no—
1053#481—591no—
1054#481—591no—
1055#479—591no—
1056#479—591no—
1057#478—591no—
1058#478—591no—
1059#470—591no—
1060#470—591no—
1061#470—591no—
1062#469—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#467—591no—
1068#466—591no—
1069#466—591no—
1070#466—591no—
1071#465—591no—
1072#465—591no—
1073#465—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464—591no—
1079#463—591no—
1080#463—591no—
1081#463—591no—
1082#463—591no—
1083#462—591no—
1084#461—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#452—591no—
1101#451—591no—
1102#451—591no—
1103#450—591no—
1104#450—591no—
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#448—591no—
1116#448—591no—
1117#448—591no—
1118#448—591no—
1119#447—591no—
1120#447—591no—
1121#447—591no—
1122#447—591no—
1123#442—591no—
1124#441—591no—
1125#440—591no—
1126#440—591no—
1127C4×Q16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#435—591no—
1134#435—591no—
1135#435—591no—
1136#435—591no—
1137C8×D4—591no—
1138C8×D4—591no—
1139#432—591no—
1140#431—591no—
1141#419—591no—
1142#418—591no—
1143#417—591no—
1144#417—591no—
1145#416—591no—
1146#416—591no—
1147C2×#103—591no—
1148C2×#102—591no—
1149#407—591no—
1150#407—591no—
1151C2×C22⋊C8—591no—
1152C2×C22⋊C8—591no—
1153C59#6160611yescharacteristic, complemented, Sylow
1154C2×#41—21no—
1155C2×#41—21no—
1156C2×#41—21no—
1157C2×#41—21no—
1158C2×#41—42no—
1159C2×#41—42no—
1160C2×#41—42no—
1161C2×#41—42no—
1162C2×#41—591no—
1163C2×#41—591no—
1164C2×#41C22×D5911yescharacteristic
1165C2×#41C22×D5911yescharacteristic
1166C2×#41C22×D5911yescharacteristic
1167C2×#41C22×D5911yescharacteristic
1168C2×#41C22×D5911yescharacteristic
1169C2×#41C22×D5911yescharacteristic
1170C2×#41C22×D5911yescharacteristic
1171C22×Q8—591no—
1172C22×Q8C22×D5911yescharacteristic
1173C22×Q8C22×D5911yescharacteristic
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—21no—
1177C22×D4—591no—
1178C22×D4—1181no—
1179C22×D4C22⋊D5911yescharacteristic
1180C22×D4C22×D5911yescharacteristic
1181C22×D4C22×D5911yescharacteristic
1182C23×C4—21no—
1183C23×C4—21no—
1184C23×C4C22×D5911yescharacteristic
1185C23×C4C22×D5911yescharacteristic
1186#137—2362no—
1187AGL(1,ℤ/8)—2362no—
1188AGL(1,ℤ/8)—2362no—
1189AGL(1,ℤ/8)—2362no—
1190#135—2362no—
1191#135—2362no—
1192C2×Q16—591no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16—591no—
1198C2×Q16—2362no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—2362no—
1212C2×D8—591no—
1213C2×D8—591no—
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C22×C8—591no—
1223C22×C8—591no—
1224C22×C8—591no—
1225C22×C8—591no—
1226C4⋊Q8—21no—
1227C4⋊Q8C22×D5911yescharacteristic
1228#127—21no—
1229#127C22×D5911yescharacteristic
1230#126—1181no—
1231#126—1181no—
1232#126—1181no—
1233#126—1181no—
1234#126—1181no—
1235#126—1181no—
1236#125—591no—
1237#125—591no—
1238#125—1181no—
1239#125—1181no—
1240#124—21no—
1241#124—21no—
1242#124—591no—
1243#124—591no—
1244#124—1181no—
1245#124—1181no—
1246#124C22×D5911yescharacteristic
1247#124C22×D5911yescharacteristic
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8C22×D5911yescharacteristic
1279C22⋊Q8C22×D5911yescharacteristic
1280C22⋊Q8C22×D5911yescharacteristic
1281C22⋊Q8C22×D5911yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—591no—
1293#121—591no—
1294#121—591no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121C22×D5911yescharacteristic
1307#121C22×D5911yescharacteristic
1308#121C22×D5911yescharacteristic
1309#121C22×D5911yescharacteristic
1310#120—21no—
1311#120—21no—
1312#120—21no—
1313#120—21no—
1314#120—21no—
1315#120—21no—
1316#120—1181no—
1317#120—1181no—
1318#120—1181no—
1319#120—1181no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8C22×D5911yescharacteristic
1323C4×Q8C22×D5911yescharacteristic
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—591no—
1337C4×D4—591no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4C22⋊D5911yescharacteristic
1349C4×D4C22⋊D5911yescharacteristic
1350C4×D4C22⋊D5911yescharacteristic
1351C4×D4C22⋊D5911yescharacteristic
1352C4×D4C22×D5911yescharacteristic
1353C4×D4C22×D5911yescharacteristic
1354C4×D4C22×D5911yescharacteristic
1355C4×D4C22×D5911yescharacteristic
1356C4×D4C22×D5911yescharacteristic
1357C4×D4C22×D5911yescharacteristic
1358#117—21no—
1359#117—591no—
1360#117—591no—
1361#117—1181no—
1362#117—1181no—
1363#117—1181no—
1364#117—1181no—
1365#117C22×D5911yescharacteristic
1366C2×C4⋊C4—21no—
1367C2×C4⋊C4—591no—
1368C2×C4⋊C4—591no—
1369C2×C4⋊C4—1181no—
1370C2×C4⋊C4C22⋊D5911yescharacteristic
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—21no—
1373C2×C22⋊C4—1181no—
1374C2×C22⋊C4—1181no—
1375C2×C22⋊C4—1181no—
1376C2×C22⋊C4—1181no—
1377C2×C22⋊C4C22⋊D5911yescharacteristic
1378C2×C22⋊C4C22⋊D5911yescharacteristic
1379C2×C42—21no—
1380C2×C42C22×D5911yescharacteristic
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107—591no—
1385#106—591no—
1386#106—591no—
1387#106—591no—
1388#106—591no—
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8—591no—
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437#97—591no—
1438#97—591no—
1439C4×C8—591no—
1440C4×C8—591no—
1441C24—21no—
1442C24—21no—
1443C24—1181no—
1444C24C2×C22⋊D5911yescharacteristic
1445C24C2×C22⋊D5911yescharacteristic
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—22no—
1451#41—22no—
1452#41—41no—
1453#41—41no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—41no—
1458#41—41no—
1459#41—41no—
1460#41—44no—
1461#41—44no—
1462#41—44no—
1463#41—44no—
1464#41—2361no—
1465#41—2361no—
1466#41—2361no—
1467#41—2361no—
1468C2×Q8—21no—
1469C2×Q8—21no—
1470C2×Q8—22no—
1471C2×Q8—22no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—591no—
1475C2×Q8—591no—
1476C2×Q8—1181no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8C23×D5911yescharacteristic
1480C2×Q8C23×D5911yescharacteristic
1481C2×Q8C23×D5911yescharacteristic
1482C2×D4—21no—
1483C2×D4—22no—
1484C2×D4—22no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—41no—
1500C2×D4—41no—
1501C2×D4—42no—
1502C2×D4—44no—
1503C2×D4—44no—
1504C2×D4—44no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2364no—
1519C2×D4C2×C22⋊D5911yescharacteristic
1520C2×D4C2×C22⋊D5911yescharacteristic
1521C2×D4C2×C22⋊D5911yescharacteristic
1522C2×D4C2×C22⋊D5911yescharacteristic
1523C2×D4C23×D5911yescharacteristic
1524C2×D4C23×D5911yescharacteristic
1525C2×D4C23×D5911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—21no—
1534C22×C4—21no—
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—41no—
1538C22×C4—41no—
1539C22×C4—41no—
1540C22×C4—41no—
1541C22×C4—44no—
1542C22×C4—44no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4C2×C22⋊D5911yescharacteristic
1551C22×C4C2×C22⋊D5911yescharacteristic
1552C22×C4C2×C22⋊D5911yescharacteristic
1553C22×C4C2×C22⋊D5911yescharacteristic
1554C22×C4C2×C22⋊D5911yescharacteristic
1555C22×C4C2×C22⋊D5911yescharacteristic
1556C22×C4C2×C22⋊D5911yescharacteristic
1557C22×C4C2×C22⋊D5911yescharacteristic
1558C22×C4C23×D5911yescharacteristic
1559C22×C4C23×D5911yescharacteristic
1560C22×C4C23×D5911yescharacteristic
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—1182no—
1564Q16—1182no—
1565Q16—2361no—
1566Q16—2361no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—1182no—
1570SD16—1182no—
1571SD16—1182no—
1572SD16—1182no—
1573SD16—2361no—
1574SD16—2361no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581D8—1182no—
1582D8—1182no—
1583D8—2361no—
1584D8—2361no—
1585D8—2361no—
1586D8—2361no—
1587M16—2361no—
1588M16—2361no—
1589M16—2361no—
1590M16—2361no—
1591C2×C8—591no—
1592C2×C8—591no—
1593C2×C8—591no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—591no—
1598C2×C8—591no—
1599C2×C8—2361no—
1600C2×C8—2361no—
1601C2×C8—2361no—
1602C2×C8—2361no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—591no—
1612C4⋊C4—591no—
1613C4⋊C4—591no—
1614C4⋊C4—591no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4C2×C22⋊D5911yescharacteristic
1630C4⋊C4C2×C22⋊D5911yescharacteristic
1631C4⋊C4C2×C22⋊D5911yescharacteristic
1632C4⋊C4C2×C22⋊D5911yescharacteristic
1633C4⋊C4C23×D5911yescharacteristic
1634C4⋊C4C23×D5911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4C2×C22⋊D5911yescharacteristic
1671C22⋊C4C2×C22⋊D5911yescharacteristic
1672C22⋊C4C2×C22⋊D5911yescharacteristic
1673C22⋊C4C2×C22⋊D5911yescharacteristic
1674C22⋊C4C2×C22⋊D5911yescharacteristic
1675C22⋊C4C2×C22⋊D5911yescharacteristic
1676C22⋊C4C2×C22⋊D5911yescharacteristic
1677C22⋊C4C2×C22⋊D5911yescharacteristic
1678C42—21no—
1679C42—21no—
1680C42—21no—
1681C42—1181no—
1682C42—1181no—
1683C42—1181no—
1684C42—1181no—
1685C42C2×C22⋊D5911yescharacteristic
1686C42C2×C22⋊D5911yescharacteristic
1687C42C23×D5911yescharacteristic
1688C42C23×D5911yescharacteristic
1689C23—21no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—41no—
1694C23—41no—
1695C23—41no—
1696C23—41no—
1697C23—41no—
1698C23—42no—
1699C23—42no—
1700C23—42no—
1701C23—42no—
1702C23—81no—
1703C23—81no—
1704C23—1181no—
1705C23—1181no—
1706C23—4721no—
1707C23—4721no—
1708C23—2362no—
1709C23C22×C22⋊D5911yescharacteristic
1710C23C22×C22⋊D5911yescharacteristic
1711C23C22×C22⋊D5911yescharacteristic
1712C23C22×C22⋊D5911yescharacteristic
1713C23C22×C22⋊D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—42no—
1720Q8—42no—
1721Q8—1181no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—1181no—
1725Q8—4721no—
1726Q8#1427377212yes—
1727D4—24no—
1728D4—22no—
1729D4—22no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—41no—
1736D4—41no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—42no—
1741D4—42no—
1742D4—42no—
1743D4—42no—
1744D4—42no—
1745D4—42no—
1746D4—42no—
1747D4—42no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—1181no—
1752D4—1181no—
1753D4—1181no—
1754D4—1181no—
1755D4—4721no—
1756D4—4721no—
1757D4—4721no—
1758D4—4721no—
1759D4—4721no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764D4#1427377212yes—
1765C2×C4—24no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—42no—
1793C2×C4—42no—
1794C2×C4—42no—
1795C2×C4—42no—
1796C2×C4—42no—
1797C2×C4—42no—
1798C2×C4—81no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—1181no—
1803C2×C4—1181no—
1804C2×C4—1181no—
1805C2×C4—4721no—
1806C2×C4—4721no—
1807C2×C4—4721no—
1808C2×C4—4721no—
1809C2×C4—4721no—
1810C2×C4—4721no—
1811C2×C4—2362no—
1812C2×C4C22×C22⋊D5911yescharacteristic
1813C2×C4C22×C22⋊D5911yescharacteristic
1814C2×C4C22×C22⋊D5911yescharacteristic
1815C2×C4C22×C22⋊D5911yescharacteristic
1816C2×C4C22×C22⋊D5911yescharacteristic
1817C2×C4C22×C22⋊D5911yescharacteristic
1818C2×C4C22×C22⋊D5911yescharacteristic
1819C2×C4C22×C22⋊D5911yescharacteristic
1820C2×C4C22×C22⋊D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—1181no—
1823C8—1181no—
1824C8—1181no—
1825C8—1181no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—22no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—82no—
1854C22—84no—
1855C22—82no—
1856C22—84no—
1857C22—9442no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22#1683820012yes—
1865C22C23×C22⋊D5911yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—21no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—2361no—
1881C4—2361no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4C2×#1427377211yescharacteristic
1887C4C2×#1427377211yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—4721no—
1897C2—4721no—
1898C2#2143773111yescharacteristic
1899C2C2×#1683820011yescharacteristic
1900C2#2143886711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingD4×#41×C59C2
socleC22×C59C23×D4
hypercenterD4×#41D59
hypocenterC59#61606
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #21437935C2semidirect
2. #21436364C2semidirect
3. #21436312C2semidirect
4. #21436267C2semidirect
5. #21436237C2semidirect
6. #21436222C2semidirect
7. #21436192C2semidirect
8. #21435998C2semidirect
9. #21435946C2semidirect
10. #21435833C2semidirect
11. #21435799C2semidirect
12. #21435728C2semidirect
13. #21435703C2semidirect
14. #21435667C2semidirect
15. #21435637C2semidirect
16. #21435622C2semidirect
17. #21435587C2semidirect
18. #21435133C2semidirect
19. #21435072C2semidirect
20. #21434933C2semidirect
21. #21434922C2semidirect
22. #21434884C2semidirect
23. #21434857C2semidirect
24. #21434205C2semidirect
25. #21434114C2semidirect
26. #21433348C2semidirect
27. #21433338C2semidirect
28. #21433314C2semidirect
29. C2×#16837564C2semidirect
30. #21433131C2semidirect
31. D4×#41×C59C2semidirect
32. C2×#14273758C22semidirect
33. C2×#14273753C22semidirect
34. C2×#14273752C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273747C22semidirect
37. C2×#14273747C22semidirect
38. C22×#11745672C22semidirect
39. C22×#11745670C22semidirect
43. #16838098C22semidirect
44. #16838092C22semidirect
45. #16838092C22semidirect
49. #16838061C22semidirect
50. #16838048C22semidirect
51. #16838048C22semidirect
55. #16837936C22semidirect
56. #16837936C22semidirect
57. #16837913C22semidirect
58. #16837913C22semidirect
59. C2×#14273706C22semidirect
60. C2×#14273701C22semidirect
62. #16837794C22semidirect
63. #16837789C22semidirect
64. #16837784C22semidirect
65. #16837784C22semidirect
66. #16837770C22semidirect
67. #16837766C22semidirect
68. #16837756C22semidirect
69. #16837756C22semidirect
70. #16837743C22semidirect
71. #16837743C22semidirect
72. #16837740C22semidirect
73. #16837740C22semidirect
74. #16837735C22semidirect
75. #16837735C22semidirect
76. #16837726C22semidirect
77. #16837726C22semidirect
78. #16837723C22semidirect
79. #16837723C22semidirect
80. #16837718C22semidirect
81. #16837718C22semidirect
82. #16837709C22semidirect
83. #16837709C22semidirect
84. #16837702C22semidirect
85. #16837702C22semidirect
86. #16837658C22semidirect
87. #16837658C22semidirect
88. #16837658C22semidirect
89. #16837653C22semidirect
90. #16837650C22semidirect
91. #16837646C22semidirect
92. #16837646C22semidirect
93. #16837646C22semidirect
94. #16837641C22semidirect
95. #16837636C22semidirect
96. #16837636C22semidirect
97. #16837636C22semidirect
98. #16837633C22semidirect
99. #16837633C22semidirect
100. #16837633C22semidirect
101. #16837629C22semidirect
102. #16837624C22semidirect
103. #16837624C22semidirect
104. #16837621C22semidirect
105. #16837621C22semidirect
106. #16837617C22semidirect
107. #16837617C22semidirect
108. #16837614C22semidirect
109. #16837614C22semidirect
110. #16837609C22semidirect
111. #16837604C22semidirect
112. #16837599C22semidirect
113. #16837594C22semidirect
114. #16837564C22semidirect
115. #16837564C22semidirect
116. #16837564C22semidirect
117. #16837564C22semidirect
118. #16837564C22semidirect
119. #16837564C22semidirect
120. #16837564C22semidirect
121. #16837564C22semidirect
122. #16837564C22semidirect
123. #16837564C22semidirect
124. #16837564C22semidirect
125. #16837564C22semidirect
126. #16837562C22semidirect
127. #16837562C22semidirect
128. #16837558C22semidirect
129. #16837557C22semidirect
130. #16837553C22semidirect
131. #16837552C22semidirect
134. #16837547C22semidirect
135. #16837547C22semidirect
136. #16837547C22semidirect
137. #16837547C22semidirect
138. #16837547C22semidirect
139. #16837547C22semidirect
140. #16837545C22semidirect
141. #16837545C22semidirect
142. #16837541C22semidirect
143. #16837541C22semidirect
144. #16837541C22semidirect
145. #16837540C22semidirect
146. #16837536C22semidirect
147. #16837536C22semidirect
148. #16837536C22semidirect
149. #16837535C22semidirect
150. #16837512C22semidirect
151. #16837507C22semidirect
152. #16837502C22semidirect
153. #16837500C22semidirect
154. C4×#11745672C22semidirect
155. C4×#11745671C22semidirect
156. C4×#11745670C22semidirect
157. C4×#11745669C22semidirect
158. #16837480C22semidirect
159. #16837480C22semidirect
160. #16837474C22semidirect
161. #16837474C22semidirect
162. #16837474C22semidirect
163. #16837474C22semidirect
164. D4×C59⋊C8C22semidirect
165. D4×C59⋊C8C22semidirect
166. #16837459C22semidirect
167. #16837455C22semidirect
168. #16837411C22semidirect
169. #16837407C22semidirect
170. #16837403C22semidirect
171. #16837403C22semidirect
172. #16837398C22semidirect
173. #16837398C22semidirect
174. C2×#14273651C22semidirect
175. C2×#14273648C22semidirect
176. #16837366C22semidirect
177. #16837366C22semidirect
178. C2×C22⋊(C59⋊C8)C22semidirect
179. C2×C22⋊(C59⋊C8)C22semidirect
181. C22×#41×C59C22semidirect
183. D4×Q8×C59C22semidirect
185. C59×#548C22semidirect
191. C59×#546C22semidirect
193. D42×C59C22semidirect
195. C59×#532C22semidirect
199. C59×#525C22semidirect
200. C4×#41×C59C22semidirect
939. D4×#41D59semidirect
983. C22×#41C2×D59semidirect
1001. D4×Q8C2×D59semidirect
1005. #548C2×D59semidirect
1013. #546C2×D59semidirect
1015. D42C2×D59semidirect
1020. #532C2×D59semidirect
1028. #525C2×D59semidirect
1032. C4×#41C2×D59semidirect
1153. C59#61606semidirect

Maximal subgroups

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

subgroupindex
#214379352
#214363642
#214363122
#214362672
#214362372
#214362222
#214361922
#214359982
#214359462
#214358332
#214357992
#214357282
#214357032
#214356672
#214356372
#214356222
#214355872
#214351332
#214350722
#214349332
#214349222
#214348842
#214348572
#214342052
#214341142
#214333482
#214333382
#214333142
C2×#168375642
#214331312
D4×#41×C592
#6160659