Finite Group Databasebeta

← #29475937

Subgroups — #29475937

Order 15104.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438468C211yesmaximal, characteristic, complemented
2#21436349C211yesmaximal, characteristic, complemented
3#21436297C211yesmaximal, characteristic, complemented
4#21436162C211yesmaximal, characteristic, complemented
5#21436132C211yesmaximal, characteristic, complemented
6#21436087C211yesmaximal, characteristic, complemented
7#21436057C211yesmaximal, characteristic, complemented
8#21435998C211yesmaximal, characteristic, complemented
9#21435946C211yesmaximal, characteristic, complemented
10#21435804C211yesmaximal, characteristic, complemented
11#21435777C211yesmaximal, characteristic, complemented
12#21435728C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435682C211yesmaximal, characteristic, complemented
15#21435632C211yesmaximal, characteristic, complemented
16#21435592C211yesmaximal, characteristic, complemented
17#21435577C211yesmaximal, characteristic, complemented
18#21435083C211yesmaximal, characteristic, complemented
19#21435061C211yesmaximal, characteristic, complemented
20#21434978C211yesmaximal, characteristic, complemented
21#21434963C211yesmaximal, characteristic, complemented
22#21434957C211yesmaximal, characteristic, complemented
23#21434948C211yesmaximal, characteristic, complemented
24#21434205C211yesmaximal, characteristic, complemented
25#21434156C211yesmaximal, characteristic, complemented
26#21433411C211yesmaximal, characteristic, complemented
27#21433400C211yesmaximal, characteristic, complemented
28#21433382C211yesmaximal, characteristic, complemented
29#21433364C211yesmaximal, characteristic, complemented
30#21433172C211yesmaximal, characteristic, complemented
31C59×#3500C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273752C2211yescharacteristic
35C2×#14273752C2211yescharacteristic, complemented
36C2×#14273747C2211yescharacteristic, complemented
37C2×#14273747C2211yescharacteristic, complemented
38C22×#11745671C2211yescharacteristic, complemented
39C22×#11745669C2211yescharacteristic
40#16838140—21no—
41#16838140—21no—
42#16838122C2211yescharacteristic, complemented
43#16838098C2211yescharacteristic, complemented
44#16838098C2211yescharacteristic, complemented
45#16838073C2211yescharacteristic, complemented
46#16838070—21no—
47#16838056C2211yescharacteristic, complemented
48#16838049—21no—
49#16838048C2211yescharacteristic, complemented
50#16838048C2211yescharacteristic, complemented
51D4×D236C2211yescharacteristic, complemented
52#16838026—21no—
53#16837986—21no—
54#16837986—21no—
55#16837980C2211yescharacteristic
56#16837980C2211yescharacteristic, complemented
57#16837966C2211yescharacteristic
58#16837966C2211yescharacteristic, complemented
59#16837965—21no—
60#16837952C2211yescharacteristic, complemented
61#16837936C2211yescharacteristic, complemented
62#16837792C2211yescharacteristic, complemented
63#16837792C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837784C2211yescharacteristic, complemented
66#16837761C2211yescharacteristic, complemented
67#16837761C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic, complemented
69#16837756C2211yescharacteristic, complemented
70#16837743C2211yescharacteristic, complemented
71#16837740C2211yescharacteristic, complemented
72#16837740C2211yescharacteristic, complemented
73#16837735C2211yescharacteristic, complemented
74#16837730C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837723C2211yescharacteristic, complemented
79#16837723C2211yescharacteristic, complemented
80#16837718C2211yescharacteristic, complemented
81#16837713C2211yescharacteristic, complemented
82#16837709C2211yescharacteristic, complemented
83#16837702C2211yescharacteristic, complemented
84#16837697C2211yescharacteristic, complemented
85#16837692C2211yescharacteristic, complemented
86#16837658C2211yescharacteristic, complemented
87#16837653C2211yescharacteristic, complemented
88#16837653C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic, complemented
90#16837650C2211yescharacteristic, complemented
91#16837650C2211yescharacteristic, complemented
92#16837650C2211yescharacteristic, 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#16837621C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic, complemented
105#16837617C2211yescharacteristic, complemented
106#16837614C2211yescharacteristic, complemented
107#16837614C2211yescharacteristic, complemented
108#16837614C2211yescharacteristic, complemented
109#16837614C2211yescharacteristic, complemented
110#16837614C2211yescharacteristic, complemented
111#16837614C2211yescharacteristic, complemented
112#16837602C2211yescharacteristic, complemented
113#16837597C2211yescharacteristic, complemented
114#16837564C2211yescharacteristic, complemented
115#16837564C2211yescharacteristic, complemented
116#16837564C2211yescharacteristic, complemented
117#16837562C2211yescharacteristic, complemented
118#16837562C2211yescharacteristic, complemented
119#16837558C2211yescharacteristic, complemented
120#16837558C2211yescharacteristic, complemented
121#16837553C2211yescharacteristic, complemented
122#16837553C2211yescharacteristic, complemented
123#16837552C2211yescharacteristic, complemented
124#16837552C2211yescharacteristic, complemented
125#16837547C2211yescharacteristic
126#16837547C2211yescharacteristic
127#16837547C2211yescharacteristic
128#16837547C2211yescharacteristic, complemented
129#16837547C2211yescharacteristic, complemented
130#16837547C2211yescharacteristic, complemented
131#16837547C2211yescharacteristic, complemented
132#16837547C2211yescharacteristic, complemented
133#16837547C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic, complemented
135#16837545C2211yescharacteristic, complemented
136#16837541C2211yescharacteristic, complemented
137#16837541C2211yescharacteristic, complemented
138#16837541C2211yescharacteristic, complemented
139#16837541C2211yescharacteristic, complemented
140#16837541C2211yescharacteristic, complemented
141#16837541C2211yescharacteristic, complemented
142#16837536C2211yescharacteristic
143#16837536C2211yescharacteristic
144#16837536C2211yescharacteristic
145#16837536C2211yescharacteristic, complemented
146#16837536C2211yescharacteristic, complemented
147#16837536C2211yescharacteristic, complemented
148#16837535C2211yescharacteristic, complemented
149#16837535C2211yescharacteristic, complemented
150#16837512C2211yescharacteristic, complemented
151#16837507C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154C4×#11745671C2211yescharacteristic, complemented
155C4×#11745671C2211yescharacteristic, complemented
156C4×#11745669C2211yescharacteristic, 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#16837369C2211yescharacteristic, complemented
177#16837369C2211yescharacteristic, complemented
178#16837369C2211yescharacteristic, complemented
179#16837369C2211yescharacteristic, complemented
180C2×2−1+4×C59C2211yescharacteristic, complemented
181C2×H(5,𝔽2)×C59C2211yescharacteristic, complemented
182C59×#548C2211yescharacteristic
183C59×#548C2211yescharacteristic, complemented
184C59×#548C2211yescharacteristic, complemented
185C59×#548C2211yescharacteristic, complemented
186C59×#546—21no—
187C59×#546—21no—
188C59×#546—21no—
189C59×#546—21no—
190C59×#546C2211yescharacteristic
191C59×#546C2211yescharacteristic, complemented
192C59×#546C2211yescharacteristic, complemented
193C59×#546C2211yescharacteristic, complemented
194C59×#536—21no—
195C59×#536C2211yescharacteristic, complemented
196C59×#535—21no—
197C59×#535C2211yescharacteristic, complemented
198C59×#532—21no—
199C59×#532C2211yescharacteristic
200C2×#124×C59—21no—
201C2×#124×C59C2211yescharacteristic, complemented
202C4×#41×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210#14273758—42no—
211#14273753—42no—
212#14273752—42no—
213#14273752—42no—
214#14273747—42no—
215#14273747—42no—
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671—42no—
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231C2×#11745671C2311yescharacteristic
232C2×#11745669—42no—
233C2×#11745669C2311yescharacteristic
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic
245C2×#11745664C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247C22×C59⋊C8C2311yescharacteristic
248C22×C59⋊C8C2311yescharacteristic
249C22×C59⋊C8C2311yescharacteristic
250#14273727C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273723—21no—
253#14273723—21no—
254#14273723—21no—
255#14273722—21no—
256#14273722—21no—
257#14273721—21no—
258#14273720—21no—
259#14273720—21no—
260#14273719C2311yescharacteristic
261#14273716—21no—
262#14273716—21no—
263#14273715—21no—
264#14273715C2311yescharacteristic
265#14273714—21no—
266#14273712—21no—
267#14273712—21no—
268#14273711—21no—
269#14273711—21no—
270#14273710—21no—
271#14273709—21no—
272#14273709—21no—
273#14273707—21no—
274#14273706C2311yescharacteristic
275#14273706C2311yescharacteristic
276#14273706C2311yescharacteristic
277#14273703—21no—
278#14273703—21no—
279#14273702—21no—
280#14273701—21no—
281#14273701C2311yescharacteristic
282#14273701C2311yescharacteristic
283#14273701C2311yescharacteristic
284#14273701C2311yescharacteristic
285#14273701C2311yescharacteristic
286#14273701C2311yescharacteristic
287#14273701C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273701C2311yescharacteristic
290#14273700—21no—
291#14273700—21no—
292#14273700—21no—
293#14273700—21no—
294#14273699—21no—
295#14273699—21no—
296#14273699—21no—
297#14273699—21no—
298#14273699—21no—
299#14273699—21no—
300#14273698—21no—
301#14273698—21no—
302#14273697—21no—
303#14273697—21no—
304#14273695—21no—
305#14273695—21no—
306#14273695—21no—
307#14273695—21no—
308#14273695—21no—
309#14273695—21no—
310C4×Dic118C2311yescharacteristic
311#14273692—21no—
312C4×D236—21no—
313C4×D236C2311yescharacteristic
314C4×D236C2311yescharacteristic
315C4×D236C2311yescharacteristic
316#14273689—21no—
317C4×C22⋊D59—21no—
318(C22⋊D59)⋊C4—21no—
319(C22⋊D59)⋊C4—21no—
320#14273686C2311yescharacteristic
321#14273686C2311yescharacteristic
322#14273684—21no—
323C2×C4⋊Dic59C2311yescharacteristic
324C2×C4⋊Dic59C2311yescharacteristic
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#14273648C2311yescharacteristic
354#14273648C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273647C2311yescharacteristic
366#14273647C2311yescharacteristic
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
3872−1+4×C59—42no—
3882−1+4×C59—42no—
389H(5,𝔽2)×C59—42no—
390H(5,𝔽2)×C59—42no—
391C2×#41×C59—21no—
392C2×#41×C59—21no—
393C2×#41×C59—21no—
394C2×#41×C59—21no—
395C2×#41×C59C2311yescharacteristic
396C2×#41×C59C2311yescharacteristic
397C2×#41×C59C2311yescharacteristic
398C2×#41×C59C2311yescharacteristic
399C2×#41×C59C2311yescharacteristic
400C2×#41×C59C2311yescharacteristic
401C2×#41×C59C2311yescharacteristic
402C22×Q8×C59—21no—
403C22×Q8×C59C2311yescharacteristic
404C22×Q8×C59C2311yescharacteristic
405C22×Q8×C59C2311yescharacteristic
406C22×D4×C59—21no—
407C22×D4×C59—21no—
408C22×D4×C59—21no—
409C22×D4×C59C2311yescharacteristic
410C22×D4×C59C2311yescharacteristic
411C22×D4×C59C2311yescharacteristic
412C4⋊Q8×C59—21no—
413C4⋊Q8×C59D411yescharacteristic
414#127×C59—21no—
415#127×C59D411yescharacteristic
416#124×C59—21no—
417#124×C59—21no—
418#124×C59—21no—
419#124×C59—21no—
420#124×C59—21no—
421#124×C59—21no—
422#124×C59—21no—
423#124×C59—21no—
424#124×C59D411yescharacteristic
425#124×C59D411yescharacteristic
426#124×C59C2311yescharacteristic
427#124×C59C2311yescharacteristic
428#124×C59C2311yescharacteristic
429#124×C59C2311yescharacteristic
430#123×C59—21no—
431#123×C59—21no—
432#123×C59—21no—
433#123×C59—21no—
434#123×C59—21no—
435#123×C59—21no—
436C22⋊Q8×C59—21no—
437C22⋊Q8×C59—21no—
438C22⋊Q8×C59—21no—
439C22⋊Q8×C59—21no—
440C22⋊Q8×C59C2311yescharacteristic
441C22⋊Q8×C59C2311yescharacteristic
442C22⋊Q8×C59C2311yescharacteristic
443C22⋊Q8×C59C2311yescharacteristic
444#121×C59—21no—
445#121×C59—21no—
446#121×C59—21no—
447#121×C59—21no—
448#121×C59—21no—
449#121×C59—21no—
450#121×C59—21no—
451#121×C59—21no—
452#121×C59D411yescharacteristic
453#121×C59D411yescharacteristic
454#121×C59D411yescharacteristic
455#121×C59D411yescharacteristic
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#120×C59—21no—
461#120×C59—21no—
462#120×C59—21no—
463#120×C59—21no—
464#120×C59—21no—
465#120×C59—21no—
466C4×Q8×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472C4×D4×C59—21no—
473C4×D4×C59—21no—
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×C22⋊C4×C59—21no—
483C2×C22⋊C4×C59—21no—
484C2×C22⋊C4×C59—21no—
485C2×C22⋊C4×C59—21no—
486C2×C22⋊C4×C59—21no—
487C2×C22⋊C4×C59—21no—
488C2×C42×C59—21no—
489C2×C42×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C24×C59—21no—
493C23×D59—21no—
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—21no—
516C2×Q8×C59—22no—
517C2×Q8×C59—22no—
518C2×Q8×C59—41no—
519C2×Q8×C59—41no—
520C2×Q8×C59—41no—
521C2×Q8×C59—41no—
522C2×Q8×C59—44no—
523C2×Q8×C59C2×D411yescharacteristic
524C2×Q8×C59C2×D411yescharacteristic
525C2×Q8×C59C2411yescharacteristic
526C2×Q8×C59C2411yescharacteristic
527C2×Q8×C59C2411yescharacteristic
528C2×D4×C59—21no—
529C2×D4×C59—22no—
530C2×D4×C59—22no—
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—21no—
540C2×D4×C59—21no—
541C2×D4×C59—21no—
542C2×D4×C59—41no—
543C2×D4×C59—41no—
544C2×D4×C59—41no—
545C2×D4×C59—41no—
546C2×D4×C59—44no—
547C2×D4×C59—44no—
548C2×D4×C59—44no—
549C2×D4×C59C2×D411yescharacteristic
550C2×D4×C59C2×D411yescharacteristic
551C2×D4×C59C2×D411yescharacteristic
552C2×D4×C59C2×D411yescharacteristic
553C2×D4×C59C2×D411yescharacteristic
554C2×D4×C59C2×D411yescharacteristic
555C2×D4×C59C2×D411yescharacteristic
556C2×D4×C59C2×D411yescharacteristic
557C2×D4×C59C2×D411yescharacteristic
558C2×D4×C59C2×D411yescharacteristic
559C2×D4×C59C2411yescharacteristic
560C2×D4×C59C2411yescharacteristic
561C2×D4×C59C2411yescharacteristic
562C22×C4×C59—21no—
563C22×C4×C59—21no—
564C22×C4×C59—21no—
565C22×C4×C59—21no—
566C22×C4×C59—21no—
567C22×C4×C59—21no—
568C22×C4×C59—21no—
569C22×C4×C59—21no—
570C22×C4×C59—21no—
571C22×C4×C59—21no—
572C22×C4×C59C2×D411yescharacteristic
573C22×C4×C59C2×D411yescharacteristic
574C22×C4×C59C2411yescharacteristic
575C22×C4×C59C2411yescharacteristic
576C22×C4×C59C2411yescharacteristic
577C22×C4×C59C2411yescharacteristic
578C22×C4×C59C2411yescharacteristic
579C2×C22⋊D59—21no—
580C2×C22⋊D59—21no—
581C2×C22⋊D59—21no—
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—
590C22×Dic59—21no—
591C22×Dic59—21no—
592#11745687—82no—
593D4×D59—82no—
594#11745685—41no—
595#11745685—41no—
596#11745685—41no—
597#11745685—41no—
598#11745685—82no—
599C2×D236—21no—
600C2×D236—21no—
601C2×D236—21no—
602C2×D236—21no—
603C2×D236—41no—
604C2×D236—41no—
605C2×D236—41no—
606C2×D236—41no—
607C2×D236C2411yescharacteristic
608C2×D236C2411yescharacteristic
609C2×D236C2411yescharacteristic
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×Dic118—21no—
616C2×Dic118C2411yescharacteristic
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×C59C2×D411yescharacteristic
625C4⋊C4×C59C2×D411yescharacteristic
626C4⋊C4×C59C2×D411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C4⋊C4×C59C2411yescharacteristic
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×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59C2×D411yescharacteristic
649C22⋊C4×C59C2×D411yescharacteristic
650C22⋊C4×C59C2×D411yescharacteristic
651C22⋊C4×C59C2×D411yescharacteristic
652C22⋊C4×C59C2×D411yescharacteristic
653C22⋊C4×C59C2×D411yescharacteristic
654C22⋊C4×C59C2×D411yescharacteristic
655C22⋊C4×C59C2×D411yescharacteristic
656C42×C59—21no—
657C42×C59—21no—
658C42×C59—21no—
659C42×C59C2×D411yescharacteristic
660C42×C59C2×D411yescharacteristic
661C42×C59C2411yescharacteristic
662C42×C59C2411yescharacteristic
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668#11745672—22no—
669#11745672—41no—
670#11745672—41no—
671#11745671—22no—
672#11745671—22no—
673#11745671—22no—
674#11745671—41no—
675#11745671—41no—
676#11745671—41no—
677#11745671—41no—
678#11745671—41no—
679#11745671—41no—
680#11745670—22no—
681#11745670—41no—
682#11745670—41no—
683#11745669—22no—
684#11745669—22no—
685#11745669—22no—
686#11745669—41no—
687#11745669—41no—
688#11745669—41no—
689#11745669—41no—
690#11745669—41no—
691#11745669—41no—
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—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4—21no—
704(C2×D59)⋊C4—21no—
705(C2×D59)⋊C4—21no—
706C4⋊Dic59—21no—
707C4⋊Dic59—21no—
708C4⋊Dic59—21no—
709C4⋊Dic59C2411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711C4⋊Dic59C2411yescharacteristic
712C4⋊Dic59C2411yescharacteristic
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—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—21no—
740C23×C59—21no—
741C23×C59—42no—
742C23×C59—42no—
743C23×C59—42no—
744C23×C59—81no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59—81no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59C22×D411yescharacteristic
751C23×C59C22×D411yescharacteristic
752C23×C59C22×D411yescharacteristic
753C23×C59C22×D411yescharacteristic
754C23×C59C22×D411yescharacteristic
755C22×D59—21no—
756C22×D59—21no—
757C22×D59—21no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—41no—
770Q8×C59—41no—
771Q8×C59—42no—
772Q8×C59—42no—
773Q8×C59—42no—
774Q8×C59H(5,𝔽2)12yes—
775D4×C59—24no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—41no—
782D4×C59—41no—
783D4×C59—41no—
784D4×C59—41no—
785D4×C59—41no—
786D4×C59—41no—
787D4×C59—41no—
788D4×C59—41no—
789D4×C59—41no—
790D4×C59—41no—
791D4×C59—42no—
792D4×C59—42no—
793D4×C59—42no—
794D4×C59—42no—
795D4×C59—42no—
796D4×C59—42no—
797D4×C59—42no—
798D4×C59—81no—
799D4×C59—81no—
800D4×C59—81no—
801D4×C59—81no—
802D4×C59H(5,𝔽2)12yes—
803C2×C4×C59—24no—
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—21no—
813C2×C4×C59—21no—
814C2×C4×C59—21no—
815C2×C4×C59—21no—
816C2×C4×C59—21no—
817C2×C4×C59—21no—
818C2×C4×C59—21no—
819C2×C4×C59—41no—
820C2×C4×C59—41no—
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—81no—
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—81no—
841C22⋊D59—81no—
842C22⋊D59—81no—
843C22⋊D59—81no—
844C22⋊D59—81no—
845C22⋊D59—81no—
846C22⋊D59—81no—
847C22⋊D59—81no—
848C22⋊D59—81no—
849C22⋊D59—81no—
850C22⋊D59—81no—
851C2×Dic59—21no—
852C2×Dic59—21no—
853C2×Dic59—21no—
854C2×Dic59—21no—
855C2×Dic59—21no—
856C2×Dic59—81no—
857C2×Dic59—81no—
858D236—21no—
859D236—21no—
860D236—21no—
861D236—21no—
862D236—21no—
863D236—21no—
864D236—42no—
865D236—81no—
866D236—81no—
867D236—81no—
868C4×D59—42no—
869C4×D59—81no—
870C4×D59—81no—
871C4×D59—81no—
872C4×D59—81no—
873Dic118—21no—
874Dic118—21no—
875Dic118—42no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879C59⋊C8—21no—
880C59⋊C8—21no—
881C59⋊C8—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884#61690—591nomaximal, Sylow
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—21no—
894C22×C59—21no—
895C22×C59—21no—
896C22×C59—21no—
897C22×C59—21no—
898C22×C59—22no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—162no—
910C22×C59—162no—
911C22×C59—162no—
912C22×C59C23×D411yescharacteristic
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—162no—
923C2×D59—162no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—21no—
929C4×C59—21no—
930C4×C59—21no—
931C4×C59—21no—
932C4×C59—21no—
933C4×C59—22no—
934C4×C59—41no—
935C4×C59—41no—
936C4×C59—41no—
937C4×C59—41no—
938C4×C59C2×H(5,𝔽2)11yescharacteristic
939C4×C59C2×H(5,𝔽2)11yescharacteristic
940Dic59—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3546—591no—
946#3500D5911yescharacteristic, complemented
947#3326—591no—
948#3322—591no—
949#3313—591no—
950#3311—591no—
951#3308—591no—
952#3306—591no—
953#3301—591no—
954#3297—591no—
955#3282—591no—
956#3280—591no—
957#3275—591no—
958#3273—591no—
959#3271—591no—
960#3268—591no—
961#3265—591no—
962#3264—591no—
963#3213—591no—
964#3211—591no—
965#3201—591no—
966#3200—591no—
967#3199—591no—
968#3198—591no—
969#3111—591no—
970#3106—591no—
971#3013—591no—
972#3012—591no—
973#3010—591no—
974#3008—591no—
975#2981—591no—
976C2×C59—41no—
977C2×C59—41no—
978C2×C59—41no—
979C2×C59—41no—
980C2×C59—41no—
981C2×C59—42no—
982C2×C59—81no—
983C2×C59—81no—
984C2×C59#348411yescharacteristic
985C2×C59#358411yescharacteristic
986C2×C59#358511yescharacteristic
987D59—81no—
988D59—81no—
989D59—81no—
990C2×2−1+4C2×D5911yescharacteristic, complemented
991C2×H(5,𝔽2)C2×D5911yescharacteristic, complemented
992C2×#137—591no—
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)—591no—
995C2×AGL(1,ℤ/8)—591no—
996C2×#135—591no—
997C2×#135—591no—
998C22×SD16—591no—
999C22×D8—591no—
1000#560—1181no—
1001#560—1181no—
1002#556—591no—
1003#553—591no—
1004#553—591no—
1005#550—591no—
1006#550—1181no—
1007#548C2×D5911yescharacteristic
1008#548C2×D5911yescharacteristic, complemented
1009#548C2×D5911yescharacteristic, complemented
1010#548C2×D5911yescharacteristic, complemented
1011#547—591no—
1012#546—21no—
1013#546—21no—
1014#546—21no—
1015#546—21no—
1016#546—591no—
1017#546—591no—
1018#546—1181no—
1019#546C2×D5911yescharacteristic
1020#546C2×D5911yescharacteristic, complemented
1021#546C2×D5911yescharacteristic, complemented
1022#546C2×D5911yescharacteristic, complemented
1023D42—591no—
1024#542—1181no—
1025#538—1181no—
1026#538—1181no—
1027#537—591no—
1028#537—591no—
1029#536—21no—
1030#536C2×D5911yescharacteristic, complemented
1031#535—21no—
1032#535—591no—
1033#535—591no—
1034#535—1181no—
1035#535C2×D5911yescharacteristic, complemented
1036#532—21no—
1037#532—591no—
1038#532C2×D5911yescharacteristic
1039#529—591no—
1040C2×#124—21no—
1041C2×#124C2×D5911yescharacteristic, complemented
1042C4×#41C2×D5911yescharacteristic, complemented
1043#496—591no—
1044#496—591no—
1045#495—591no—
1046#495—591no—
1047#489—591no—
1048#489—591no—
1049#488—591no—
1050#488—591no—
1051#485—591no—
1052#485—591no—
1053#485—591no—
1054#484—591no—
1055#483—591no—
1056#482—591no—
1057#482—591no—
1058#482—591no—
1059#482—591no—
1060#482—591no—
1061#481—591no—
1062#480—591no—
1063#479—591no—
1064#478—591no—
1065#477—591no—
1066#476—591no—
1067#470—591no—
1068#469—591no—
1069#469—591no—
1070#469—591no—
1071#468—591no—
1072#468—591no—
1073#468—591no—
1074#468—591no—
1075#467—591no—
1076#466—591no—
1077#466—591no—
1078#466—591no—
1079#465—591no—
1080#465—591no—
1081#465—591no—
1082#465—591no—
1083#464—591no—
1084#464—591no—
1085#464—591no—
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463—591no—
1092#463—591no—
1093#460—591no—
1094#459—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452—591no—
1099#452—591no—
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—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#449—591no—
1116#449—591no—
1117#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448—591no—
1122#448—591no—
1123#447—591no—
1124#447—591no—
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#447—591no—
1131#442—591no—
1132#441—591no—
1133#440—591no—
1134#440—591no—
1135C4×SD16—591no—
1136C4×SD16—591no—
1137C4×D8—591no—
1138C4×D8—591no—
1139#436—591no—
1140#436—591no—
1141#435—591no—
1142#435—591no—
1143#435—591no—
1144#435—591no—
1145C8×D4—591no—
1146C8×D4—591no—
1147#432—591no—
1148#431—591no—
1149#419—591no—
1150#418—591no—
1151#417—591no—
1152#417—591no—
1153#416—591no—
1154#416—591no—
1155C2×#103—591no—
1156C2×#102—591no—
1157#408—591no—
1158#408—591no—
1159#408—591no—
1160#408—591no—
1161C59#6169011yescharacteristic, complemented, Sylow
11622−1+4—42no—
11632−1+4—42no—
1164H(5,𝔽2)—42no—
1165H(5,𝔽2)—42no—
1166C2×#41—21no—
1167C2×#41—21no—
1168C2×#41—21no—
1169C2×#41—21no—
1170C2×#41—591no—
1171C2×#41—591no—
1172C2×#41—1181no—
1173C2×#41—1181no—
1174C2×#41C22×D5911yescharacteristic
1175C2×#41C22×D5911yescharacteristic
1176C2×#41C22×D5911yescharacteristic
1177C2×#41C22×D5911yescharacteristic
1178C2×#41C22×D5911yescharacteristic
1179C2×#41C22×D5911yescharacteristic
1180C2×#41C22×D5911yescharacteristic
1181C22×Q8—21no—
1182C22×Q8C22×D5911yescharacteristic
1183C22×Q8C22×D5911yescharacteristic
1184C22×Q8C22×D5911yescharacteristic
1185C22×D4—21no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—591no—
1189C22×D4—591no—
1190C22×D4—1181no—
1191C22×D4C22×D5911yescharacteristic
1192C22×D4C22×D5911yescharacteristic
1193C22×D4C22×D5911yescharacteristic
1194#137—2362no—
1195AGL(1,ℤ/8)—2362no—
1196AGL(1,ℤ/8)—2362no—
1197AGL(1,ℤ/8)—2362no—
1198#135—2362no—
1199#135—2362no—
1200C2×Q16—591no—
1201C2×Q16—591no—
1202C2×Q16—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—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16—2362no—
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×D8—591no—
1219C2×D8—591no—
1220C2×D8—591no—
1221C2×D8—591no—
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—591no—
1225C2×D8—2362no—
1226C2×M16—591no—
1227C2×M16—591no—
1228C2×M16—591no—
1229C2×M16—591no—
1230C22×C8—591no—
1231C22×C8—591no—
1232C22×C8—591no—
1233C22×C8—591no—
1234C4⋊Q8—21no—
1235C4⋊Q8—591no—
1236C4⋊Q8C22⋊D5911yescharacteristic
1237#127—21no—
1238#127—591no—
1239#127—1181no—
1240#127—1181no—
1241#127—1181no—
1242#127C22⋊D5911yescharacteristic
1243#126—1181no—
1244#126—1181no—
1245#126—1181no—
1246#126—1181no—
1247#126—1181no—
1248#125—591no—
1249#124—21no—
1250#124—21no—
1251#124—21no—
1252#124—21no—
1253#124—21no—
1254#124—21no—
1255#124—21no—
1256#124—21no—
1257#124—591no—
1258#124—1181no—
1259#124—1181no—
1260#124—1181no—
1261#124—1181no—
1262#124C22⋊D5911yescharacteristic
1263#124C22⋊D5911yescharacteristic
1264#124C22×D5911yescharacteristic
1265#124C22×D5911yescharacteristic
1266#124C22×D5911yescharacteristic
1267#124C22×D5911yescharacteristic
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—21no—
1272#123—21no—
1273#123—21no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281C22⋊Q8—21no—
1282C22⋊Q8—21no—
1283C22⋊Q8—21no—
1284C22⋊Q8—21no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294C22⋊Q8C22×D5911yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121C22⋊D5911yescharacteristic
1327#121C22⋊D5911yescharacteristic
1328#121C22⋊D5911yescharacteristic
1329#121C22⋊D5911yescharacteristic
1330#121C22×D5911yescharacteristic
1331#121C22×D5911yescharacteristic
1332#121C22×D5911yescharacteristic
1333#121C22×D5911yescharacteristic
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—1181no—
1341#120—1181no—
1342#120—1181no—
1343#120—1181no—
1344#120—1181no—
1345#120—1181no—
1346#120—1181no—
1347#120—1181no—
1348C4×Q8—591no—
1349C4×Q8—1181no—
1350C4×Q8C22×D5911yescharacteristic
1351C4×Q8C22×D5911yescharacteristic
1352C4×D4—21no—
1353C4×D4—21no—
1354C4×D4—21no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—591no—
1359C4×D4—591no—
1360C4×D4—591no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4C22×D5911yescharacteristic
1367C4×D4C22×D5911yescharacteristic
1368C4×D4C22×D5911yescharacteristic
1369C4×D4C22×D5911yescharacteristic
1370C4×D4C22×D5911yescharacteristic
1371C4×D4C22×D5911yescharacteristic
1372#117—21no—
1373#117—591no—
1374#117—591no—
1375#117—1181no—
1376#117C22×D5911yescharacteristic
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C22⋊C4—21no—
1380C2×C22⋊C4—21no—
1381C2×C22⋊C4—21no—
1382C2×C22⋊C4—21no—
1383C2×C22⋊C4—21no—
1384C2×C22⋊C4—21no—
1385C2×C22⋊C4—1181no—
1386C2×C22⋊C4—1181no—
1387C2×C42—21no—
1388C2×C42C22×D5911yescharacteristic
1389#107—591no—
1390#107—591no—
1391#107—591no—
1392#107—591no—
1393#106—591no—
1394#106—591no—
1395#106—591no—
1396#106—591no—
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8—591no—
1400C4⋊C8—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#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—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—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8—591no—
1443C22⋊C8—591no—
1444C22⋊C8—591no—
1445#97—591no—
1446#97—591no—
1447C4×C8—591no—
1448C4×C8—591no—
1449C24—21no—
1450C24—21no—
1451C24—21no—
1452C24—1181no—
1453C24—1181no—
1454#41—22no—
1455#41—22no—
1456#41—22no—
1457#41—22no—
1458#41—22no—
1459#41—22no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—44no—
1469#41—44no—
1470#41—44no—
1471#41—44no—
1472#41—4722no—
1473#41—4722no—
1474#41—2361no—
1475#41—2361no—
1476#41—2361no—
1477#41—2361no—
1478C2×Q8—21no—
1479C2×Q8—21no—
1480C2×Q8—21no—
1481C2×Q8—22no—
1482C2×Q8—22no—
1483C2×Q8—41no—
1484C2×Q8—41no—
1485C2×Q8—41no—
1486C2×Q8—41no—
1487C2×Q8—44no—
1488C2×Q8—591no—
1489C2×Q8—1181no—
1490C2×Q8C2×C22⋊D5911yescharacteristic
1491C2×Q8C2×C22⋊D5911yescharacteristic
1492C2×Q8C23×D5911yescharacteristic
1493C2×Q8C23×D5911yescharacteristic
1494C2×Q8C23×D5911yescharacteristic
1495C2×D4—21no—
1496C2×D4—22no—
1497C2×D4—22no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—591no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—4722no—
1535C2×D4—2361no—
1536C2×D4—2361no—
1537C2×D4—2361no—
1538C2×D4—2361no—
1539C2×D4C2×C22⋊D5911yescharacteristic
1540C2×D4C2×C22⋊D5911yescharacteristic
1541C2×D4C2×C22⋊D5911yescharacteristic
1542C2×D4C2×C22⋊D5911yescharacteristic
1543C2×D4C2×C22⋊D5911yescharacteristic
1544C2×D4C2×C22⋊D5911yescharacteristic
1545C2×D4C2×C22⋊D5911yescharacteristic
1546C2×D4C2×C22⋊D5911yescharacteristic
1547C2×D4C2×C22⋊D5911yescharacteristic
1548C2×D4C2×C22⋊D5911yescharacteristic
1549C2×D4C23×D5911yescharacteristic
1550C2×D4C23×D5911yescharacteristic
1551C2×D4C23×D5911yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4C2×C22⋊D5911yescharacteristic
1570C22×C4C2×C22⋊D5911yescharacteristic
1571C22×C4C23×D5911yescharacteristic
1572C22×C4C23×D5911yescharacteristic
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575C22×C4C23×D5911yescharacteristic
1576Q16—1182no—
1577Q16—2361no—
1578Q16—2361no—
1579SD16—1182no—
1580SD16—1182no—
1581SD16—1182no—
1582SD16—1182no—
1583SD16—2361no—
1584SD16—2361no—
1585SD16—2361no—
1586SD16—2361no—
1587SD16—2361no—
1588SD16—2361no—
1589SD16—2361no—
1590SD16—2361no—
1591D8—1182no—
1592D8—1182no—
1593D8—1182no—
1594D8—2361no—
1595D8—2361no—
1596D8—2361no—
1597D8—2361no—
1598D8—2361no—
1599D8—2361no—
1600M16—2361no—
1601M16—2361no—
1602M16—2361no—
1603M16—2361no—
1604C2×C8—591no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—591no—
1610C2×C8—591no—
1611C2×C8—591no—
1612C2×C8—2361no—
1613C2×C8—2361no—
1614C2×C8—2361no—
1615C2×C8—2361no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4C2×C22⋊D5911yescharacteristic
1636C4⋊C4C2×C22⋊D5911yescharacteristic
1637C4⋊C4C2×C22⋊D5911yescharacteristic
1638C4⋊C4C2×C22⋊D5911yescharacteristic
1639C4⋊C4C23×D5911yescharacteristic
1640C4⋊C4C23×D5911yescharacteristic
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—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
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⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4C2×C22⋊D5911yescharacteristic
1680C22⋊C4C2×C22⋊D5911yescharacteristic
1681C22⋊C4C2×C22⋊D5911yescharacteristic
1682C22⋊C4C2×C22⋊D5911yescharacteristic
1683C22⋊C4C2×C22⋊D5911yescharacteristic
1684C22⋊C4C2×C22⋊D5911yescharacteristic
1685C22⋊C4C2×C22⋊D5911yescharacteristic
1686C22⋊C4C2×C22⋊D5911yescharacteristic
1687C42—21no—
1688C42—21no—
1689C42—21no—
1690C42—1181no—
1691C42—1181no—
1692C42—1181no—
1693C42C2×C22⋊D5911yescharacteristic
1694C42C2×C22⋊D5911yescharacteristic
1695C42C23×D5911yescharacteristic
1696C42C23×D5911yescharacteristic
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—42no—
1701C23—42no—
1702C23—42no—
1703C23—81no—
1704C23—81no—
1705C23—81no—
1706C23—81no—
1707C23—81no—
1708C23—81no—
1709C23—1181no—
1710C23—1181no—
1711C23—1181no—
1712C23—4721no—
1713C23—4721no—
1714C23—4721no—
1715C23—4721no—
1716C23—4721no—
1717C23—4721no—
1718C23C22×C22⋊D5911yescharacteristic
1719C23C22×C22⋊D5911yescharacteristic
1720C23C22×C22⋊D5911yescharacteristic
1721C23C22×C22⋊D5911yescharacteristic
1722C23C22×C22⋊D5911yescharacteristic
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—41no—
1729Q8—41no—
1730Q8—42no—
1731Q8—42no—
1732Q8—42no—
1733Q8—1181no—
1734Q8—1181no—
1735Q8—2362no—
1736Q8#1427377212yes—
1737D4—24no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—41no—
1744D4—41no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—41no—
1750D4—41no—
1751D4—41no—
1752D4—41no—
1753D4—42no—
1754D4—42no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—42no—
1759D4—42no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—81no—
1764D4—1181no—
1765D4—1181no—
1766D4—1181no—
1767D4—1181no—
1768D4—1181no—
1769D4—1181no—
1770D4—4721no—
1771D4—4721no—
1772D4—4721no—
1773D4—4721no—
1774D4—4721no—
1775D4—4721no—
1776D4—4721no—
1777D4—4721no—
1778D4—4721no—
1779D4—4721no—
1780D4—4721no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4—2362no—
1785D4#1427377212yes—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—41no—
1803C2×C4—41no—
1804C2×C4—42no—
1805C2×C4—42no—
1806C2×C4—42no—
1807C2×C4—42no—
1808C2×C4—42no—
1809C2×C4—42no—
1810C2×C4—42no—
1811C2×C4—81no—
1812C2×C4—81no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—1181no—
1817C2×C4—1181no—
1818C2×C4—4721no—
1819C2×C4—4721no—
1820C2×C4—4721no—
1821C2×C4—4721no—
1822C2×C4—4721no—
1823C2×C4—4721no—
1824C2×C4—2362no—
1825C2×C4C22×C22⋊D5911yescharacteristic
1826C2×C4C22×C22⋊D5911yescharacteristic
1827C2×C4C22×C22⋊D5911yescharacteristic
1828C2×C4C22×C22⋊D5911yescharacteristic
1829C2×C4C22×C22⋊D5911yescharacteristic
1830C2×C4C22×C22⋊D5911yescharacteristic
1831C2×C4C22×C22⋊D5911yescharacteristic
1832C2×C4C22×C22⋊D5911yescharacteristic
1833C2×C4C22×C22⋊D5911yescharacteristic
1834C2×C4C24×D5911yescharacteristic
1835C8—1181no—
1836C8—1181no—
1837C8—1181no—
1838C8—1181no—
1839C8—1181no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C22—21no—
1844C22—22no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—162no—
1868C22—162no—
1869C22—162no—
1870C22—9442no—
1871C22—9442no—
1872C22—2361no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22C23×C22⋊D5911yescharacteristic
1882C4—21no—
1883C4—22no—
1884C4—21no—
1885C4—21no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—21no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—2361no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4—2361no—
1901C4C2×#1427377211yescharacteristic
1902C4C2×#1427377211yescharacteristic
1903C2—41no—
1904C2—41no—
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—42no—
1909C2—81no—
1910C2—81no—
1911C2—4721no—
1912C2—4721no—
1913C2—4721no—
1914C2#2143773111yescharacteristic
1915C2#2143886711yescharacteristic
1916C2#2143887511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3500C2
socleC22×C59C23×D4
hypercenter#3500D59
hypocenterC59#61690
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #532 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. #21438468C2semidirect
2. #21436349C2semidirect
3. #21436297C2semidirect
4. #21436162C2semidirect
5. #21436132C2semidirect
6. #21436087C2semidirect
7. #21436057C2semidirect
8. #21435998C2semidirect
9. #21435946C2semidirect
10. #21435804C2semidirect
11. #21435777C2semidirect
12. #21435728C2semidirect
13. #21435703C2semidirect
14. #21435682C2semidirect
15. #21435632C2semidirect
16. #21435592C2semidirect
17. #21435577C2semidirect
18. #21435083C2semidirect
19. #21435061C2semidirect
20. #21434978C2semidirect
21. #21434963C2semidirect
22. #21434957C2semidirect
23. #21434948C2semidirect
24. #21434205C2semidirect
25. #21434156C2semidirect
26. #21433411C2semidirect
27. #21433400C2semidirect
28. #21433382C2semidirect
29. #21433364C2semidirect
30. #21433172C2semidirect
31. C59×#3500C2semidirect
32. C2×#14273758C22semidirect
33. C2×#14273753C22semidirect
35. C2×#14273752C22semidirect
36. C2×#14273747C22semidirect
37. C2×#14273747C22semidirect
38. C22×#11745671C22semidirect
42. #16838122C22semidirect
43. #16838098C22semidirect
44. #16838098C22semidirect
45. #16838073C22semidirect
47. #16838056C22semidirect
49. #16838048C22semidirect
50. #16838048C22semidirect
51. D4×D236C22semidirect
56. #16837980C22semidirect
58. #16837966C22semidirect
60. #16837952C22semidirect
61. #16837936C22semidirect
62. #16837792C22semidirect
63. #16837792C22semidirect
64. #16837784C22semidirect
65. #16837784C22semidirect
66. #16837761C22semidirect
67. #16837761C22semidirect
68. #16837756C22semidirect
69. #16837756C22semidirect
70. #16837743C22semidirect
71. #16837740C22semidirect
72. #16837740C22semidirect
73. #16837735C22semidirect
74. #16837730C22semidirect
75. #16837726C22semidirect
76. #16837726C22semidirect
77. #16837726C22semidirect
78. #16837723C22semidirect
79. #16837723C22semidirect
80. #16837718C22semidirect
81. #16837713C22semidirect
82. #16837709C22semidirect
83. #16837702C22semidirect
84. #16837697C22semidirect
85. #16837692C22semidirect
86. #16837658C22semidirect
87. #16837653C22semidirect
88. #16837653C22semidirect
89. #16837653C22semidirect
90. #16837650C22semidirect
91. #16837650C22semidirect
92. #16837650C22semidirect
93. #16837646C22semidirect
94. #16837641C22semidirect
95. #16837636C22semidirect
96. #16837636C22semidirect
97. #16837636C22semidirect
98. #16837633C22semidirect
99. #16837633C22semidirect
100. #16837633C22semidirect
101. #16837629C22semidirect
102. #16837624C22semidirect
103. #16837621C22semidirect
104. #16837621C22semidirect
105. #16837617C22semidirect
106. #16837614C22semidirect
107. #16837614C22semidirect
108. #16837614C22semidirect
109. #16837614C22semidirect
110. #16837614C22semidirect
111. #16837614C22semidirect
112. #16837602C22semidirect
113. #16837597C22semidirect
114. #16837564C22semidirect
115. #16837564C22semidirect
116. #16837564C22semidirect
117. #16837562C22semidirect
118. #16837562C22semidirect
119. #16837558C22semidirect
120. #16837558C22semidirect
121. #16837553C22semidirect
122. #16837553C22semidirect
123. #16837552C22semidirect
124. #16837552C22semidirect
128. #16837547C22semidirect
129. #16837547C22semidirect
130. #16837547C22semidirect
131. #16837547C22semidirect
132. #16837547C22semidirect
133. #16837547C22semidirect
134. #16837545C22semidirect
135. #16837545C22semidirect
136. #16837541C22semidirect
137. #16837541C22semidirect
138. #16837541C22semidirect
139. #16837541C22semidirect
140. #16837541C22semidirect
141. #16837541C22semidirect
145. #16837536C22semidirect
146. #16837536C22semidirect
147. #16837536C22semidirect
148. #16837535C22semidirect
149. #16837535C22semidirect
150. #16837512C22semidirect
151. #16837507C22semidirect
152. #16837502C22semidirect
153. #16837500C22semidirect
154. C4×#11745671C22semidirect
155. C4×#11745671C22semidirect
156. C4×#11745669C22semidirect
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. #16837369C22semidirect
177. #16837369C22semidirect
178. #16837369C22semidirect
179. #16837369C22semidirect
180. C2×2−1+4×C59C22semidirect
181. C2×H(5,𝔽2)×C59C22semidirect
183. C59×#548C22semidirect
184. C59×#548C22semidirect
185. C59×#548C22semidirect
191. C59×#546C22semidirect
192. C59×#546C22semidirect
193. C59×#546C22semidirect
195. C59×#536C22semidirect
197. C59×#535C22semidirect
201. C2×#124×C59C22semidirect
202. C4×#41×C59C22semidirect
946. #3500D59semidirect
990. C2×2−1+4C2×D59semidirect
991. C2×H(5,𝔽2)C2×D59semidirect
1008. #548C2×D59semidirect
1009. #548C2×D59semidirect
1010. #548C2×D59semidirect
1020. #546C2×D59semidirect
1021. #546C2×D59semidirect
1022. #546C2×D59semidirect
1030. #536C2×D59semidirect
1035. #535C2×D59semidirect
1041. C2×#124C2×D59semidirect
1042. C4×#41C2×D59semidirect
1161. C59#61690semidirect

Maximal subgroups

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

subgroupindex
#214384682
#214363492
#214362972
#214361622
#214361322
#214360872
#214360572
#214359982
#214359462
#214358042
#214357772
#214357282
#214357032
#214356822
#214356322
#214355922
#214355772
#214350832
#214350612
#214349782
#214349632
#214349572
#214349482
#214342052
#214341562
#214334112
#214334002
#214333822
#214333642
#214331722
C59×#35002
#6169059