Finite Group Databasebeta

← C59×#62892 #28475001

Subgroups — C59×#62892 #28475001

Order 15104.

8158 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3558C212yesmaximal, complemented
2C59×#3543C214yesmaximal, complemented
3C59×#3542C214yesmaximal, complemented
4C59×#3537C214yesmaximal, complemented
5C59×#3537C212yesmaximal, complemented
6C59×#3534C218yesmaximal, complemented
7C59×#3534C214yesmaximal, complemented
8C59×#3532C218yesmaximal, complemented
9C59×#3519C212yesmaximal, complemented
10C59×#3513C214yesmaximal, complemented
11C59×#3505C212yesmaximal, complemented
12C59×#3496C211yesmaximal, characteristic, complemented
13C59×#3490C212yesmaximal, complemented
14C59×#3488C212yesmaximal, complemented
15C59×#3484C214yesmaximal, complemented
16C59×#3484C214yesmaximal, complemented
17C2×C59×#546C211yesmaximal, characteristic, complemented
18C2×D42×C59C212yesmaximal, complemented
19C59×#3459C211yesmaximal, characteristic, complemented
20C2×C59×#534C212yesmaximal, complemented
21C2×H(5,𝔽2)×C59C2212yescomplemented
22C2×H(5,𝔽2)×C59C2212yescomplemented
23C22×#41×C59C2211yescharacteristic, complemented
24C23×D4×C59C2211yescharacteristic, complemented
25C23×D4×C59C2214yescomplemented
26C23×D4×C59C2212yescomplemented
27C59×#562C2218yescomplemented
28C59×#562C2214yescomplemented
29C59×H(3,𝔽4)C2214yescomplemented
30C59×#560C2218yescomplemented
31C59×#560C2218yescomplemented
32C59×#560C2218yescomplemented
33C59×#560C2218yescomplemented
34C59×#559C2214yescomplemented
35C59×#555C2212yescomplemented
36C59×#554C2212yescomplemented
37C59×#553C2218yescomplemented
38C59×#553C2214yescomplemented
39C59×#553C2214yescomplemented
40C59×#553C2214yescomplemented
41C59×#553C2218yescomplemented
42C59×#552C2214yescomplemented
43C59×#551C2218yescomplemented
44C59×#551C2218yescomplemented
45C59×#551C2218yescomplemented
46C59×#551C2218yescomplemented
47C59×#550C2212yescomplemented
48C59×#550C2214yescomplemented
49C59×#548C2214yescomplemented
50C59×#547C2214yescomplemented
51C59×#546C2214yescomplemented
52C59×#546C2214yescomplemented
53C59×#546C2214yescomplemented
54C59×#546C2218yescomplemented
55C59×#546C2218yescomplemented
56C59×#546C2218yescomplemented
57C59×#546C2218yescomplemented
58C59×#546C2218yescomplemented
59C59×#546C2218yescomplemented
60C59×#546C2214yescomplemented
61C59×#546C2218yescomplemented
62C59×#546C2214yescomplemented
63C59×#546C2214yescomplemented
64C59×#546C2218yescomplemented
65C59×#546C2218yescomplemented
66C59×#546C2218yescomplemented
67D42×C59C2214yescomplemented
68D42×C59C2218yescomplemented
69D42×C59C2214yescomplemented
70D42×C59C2214yescomplemented
71D42×C59C2212yescomplemented
72D42×C59C2218yescomplemented
73D42×C59C2218yescomplemented
74D42×C59C2218yescomplemented
75D42×C59C2218yescomplemented
76D42×C59C2214yescomplemented
77D42×C59C2214yescomplemented
78D42×C59C2214yescomplemented
79D42×C59C2218yescomplemented
80D42×C59C2218yescomplemented
81C59×#543C2211yescharacteristic, complemented
82C59×#542C2214yescomplemented
83C59×#540C2214yescomplemented
84C59×#540C2214yescomplemented
85C59×#540C2218yescomplemented
86C59×#540C2218yescomplemented
87C59×#539C2214yescomplemented
88C59×#539C2218yescomplemented
89C59×#539C2212yescomplemented
90C59×#539C2214yescomplemented
91C59×#538C2214yescomplemented
92C59×#538C2218yescomplemented
93C59×#538C2214yescomplemented
94C59×#538C2212yescomplemented
95C59×#538C2218yescomplemented
96C59×#538C2218yescomplemented
97C59×#538C2218yescomplemented
98C59×#538C2214yescomplemented
99C59×#538C2214yescomplemented
100C59×#538C2214yescomplemented
101C59×#537C2214yescomplemented
102C59×#537C2212yescomplemented
103C59×#537C2212yescomplemented
104C59×#535C2218yescomplemented
105C59×#535C2214yescomplemented
106C59×#535C2214yescomplemented
107C59×#535C2214yescomplemented
108C59×#535C2218yescomplemented
109C59×#535C2212yescomplemented
110C59×#534C2211yescharacteristic, complemented
111C59×#534C2214yescomplemented
112C59×#534C2212yescomplemented
113C59×#534C2212yescomplemented
114C59×#534C2218yescomplemented
115C59×#534C2218yescomplemented
116C59×#534C2218yescomplemented
117C59×#534C2218yescomplemented
118C59×#534C2214yescomplemented
119C59×#534C2218yescomplemented
120C59×#534C2214yescomplemented
121C59×#534C2214yescomplemented
122C59×#534C2212yescomplemented
123C59×#532C2212yescomplemented
124C2×#127×C59C2212yescomplemented
125C59×#529C2214yescomplemented
126C59×#529C2214yescomplemented
127C59×#529C2212yescomplemented
128C2×#124×C59C2211yescharacteristic, complemented
129C59×#525C2214yescomplemented
130C59×#525C2218yescomplemented
131C59×#525C2212yescomplemented
132C59×#525C2214yescomplemented
133C59×#525C2214yescomplemented
134C59×#525C2214yescomplemented
135C2×#123×C59C2218yescomplemented
136C2×#123×C59C2212yescomplemented
137C2×C22⋊Q8×C59C2211yescharacteristic, complemented
138C2×#121×C59C2212yescomplemented
139C2×#121×C59C2214yescomplemented
140C2×#121×C59C2212yescomplemented
141C2×#121×C59C2214yescomplemented
142C2×#121×C59C2214yescomplemented
143C2×#121×C59C2211yescharacteristic, complemented
144C2×#121×C59C2212yescomplemented
145C2×#121×C59C2212yescomplemented
146C2×#120×C59C2214yescomplemented
147C2×#120×C59C2212yescomplemented
148C2×#120×C59C2214yescomplemented
149C2×#120×C59C2218yescomplemented
150C2×#120×C59C2218yescomplemented
151C59×#520C2212yescomplemented
152C59×#518C2214yescomplemented
153C59×#518C2214yescomplemented
154C2×C4×D4×C59C2212yescomplemented
155C2×C4×D4×C59C2211yescharacteristic, complemented
156C2×C4×D4×C59C2212yescomplemented
157C2×C4×D4×C59C2211yescharacteristic, complemented
158C22×C22⋊C4×C59C2212yescomplemented
159C25×C59C2312yes—
160C25×C59C2314yescomplemented
161H(5,𝔽2)×C59—48no—
162H(5,𝔽2)×C59—48no—
163C2×#41×C59—44no—
164C2×#41×C59C2312yes—
165C2×#41×C59C2312yescomplemented
166C2×#41×C59C2318yescomplemented
167C2×#41×C59C2314yescomplemented
168C2×#41×C59C2314yescomplemented
169C2×#41×C59C2314yescomplemented
170C2×#41×C59C2314yescomplemented
171C2×#41×C59C2312yescomplemented
172C2×#41×C59C2314yescomplemented
173C22×Q8×C59C2311yescharacteristic, complemented
174C22×D4×C59—44no—
175C22×D4×C59—48no—
176C22×D4×C59—416no—
177C22×D4×C59C2311yescharacteristic
178C22×D4×C59C2312yes—
179C22×D4×C59C2311yescharacteristic
180C22×D4×C59C2312yes—
181C22×D4×C59C2314yes—
182C22×D4×C59C2314yes—
183C22×D4×C59C2314yes—
184C22×D4×C59C2318yes—
185C22×D4×C59C2312yes—
186C22×D4×C59C2311yescharacteristic
187C22×D4×C59C2312yes—
188C22×D4×C59C2318yes—
189C22×D4×C59C2314yescomplemented
190C22×D4×C59C2314yescomplemented
191C22×D4×C59C2312yescomplemented
192C22×D4×C59C2314yescomplemented
193C22×D4×C59C2318yescomplemented
194C22×D4×C59C2318yescomplemented
195C22×D4×C59C2318yescomplemented
196C22×D4×C59C2314yescomplemented
197C22×D4×C59C2312yescomplemented
198C22×D4×C59C2314yescomplemented
199C22×D4×C59C2312yescomplemented
200C22×D4×C59C2318yescomplemented
201C22×D4×C59C2318yescomplemented
202C22×D4×C59C2314yescomplemented
203C22×D4×C59C2314yescomplemented
204C22×D4×C59C2314yescomplemented
205C22×D4×C59C2312yescomplemented
206C22×D4×C59C2318yescomplemented
207C23×C4×C59C2311yescharacteristic
208C23×C4×C59C2312yescomplemented
209C23×C4×C59C2311yescharacteristic, complemented
210C23×C4×C59C2314yescomplemented
211C23×C4×C59C2312yescomplemented
212C23×C4×C59C2312yescomplemented
213C4⋊Q8×C59C2312yescomplemented
214#127×C59C2314yes—
215#127×C59C2314yescomplemented
216#127×C59C2318yescomplemented
217#127×C59C2312yescomplemented
218#127×C59C2318yescomplemented
219#127×C59C2318yescomplemented
220#126×C59C2314yescomplemented
221#126×C59C2314yescomplemented
222#126×C59C2318yescomplemented
223#126×C59C2314yescomplemented
224#126×C59C2318yescomplemented
225#126×C59C2318yescomplemented
226#126×C59C2318yescomplemented
227#126×C59C2318yescomplemented
228#125×C59C2314yescomplemented
229#125×C59C2312yescomplemented
230#125×C59C2314yescomplemented
231#125×C59C2318yescomplemented
232#124×C59C2314yescomplemented
233#124×C59C2314yescomplemented
234#124×C59C2314yescomplemented
235#124×C59C2314yescomplemented
236#124×C59C2312yescomplemented
237#124×C59C2314yescomplemented
238#124×C59C2318yescomplemented
239#124×C59C2318yescomplemented
240#124×C59C2318yescomplemented
241#124×C59C2318yescomplemented
242#124×C59C2318yescomplemented
243#123×C59C2314yes—
244#123×C59C2318yes—
245#123×C59C2318yescomplemented
246#123×C59C2318yescomplemented
247#123×C59C2318yescomplemented
248#123×C59C2318yescomplemented
249#123×C59C2318yescomplemented
250#123×C59C2318yescomplemented
251#123×C59C2318yescomplemented
252#123×C59C2318yescomplemented
253#123×C59C2314yescomplemented
254#123×C59C2314yescomplemented
255#123×C59C2314yescomplemented
256#123×C59C2318yescomplemented
257#123×C59C2318yescomplemented
258#123×C59C2314yescomplemented
259#123×C59C2318yescomplemented
260#123×C59C2314yescomplemented
261#123×C59C2318yescomplemented
262#123×C59C2318yescomplemented
263#123×C59C2318yescomplemented
264#123×C59C2318yescomplemented
265#123×C59C2318yescomplemented
266#123×C59C2318yescomplemented
267#123×C59C2318yescomplemented
268C22⋊Q8×C59C2314yescomplemented
269C22⋊Q8×C59C2314yescomplemented
270C22⋊Q8×C59C2312yescomplemented
271C22⋊Q8×C59C2312yescomplemented
272C22⋊Q8×C59C2312yescomplemented
273C22⋊Q8×C59C2314yescomplemented
274C22⋊Q8×C59C2314yescomplemented
275C22⋊Q8×C59C2314yescomplemented
276C22⋊Q8×C59C2318yescomplemented
277C22⋊Q8×C59C2314yescomplemented
278C22⋊Q8×C59C2318yescomplemented
279C22⋊Q8×C59C2314yescomplemented
280C22⋊Q8×C59C2314yescomplemented
281C22⋊Q8×C59C2318yescomplemented
282C22⋊Q8×C59C2318yescomplemented
283#121×C59C2312yes—
284#121×C59C2312yes—
285#121×C59C2314yes—
286#121×C59C2318yes—
287#121×C59C2314yes—
288#121×C59C2314yes—
289#121×C59C2314yes—
290#121×C59C2314yes—
291#121×C59C2314yescomplemented
292#121×C59C2314yescomplemented
293#121×C59C2314yescomplemented
294#121×C59C2314yescomplemented
295#121×C59C2314yescomplemented
296#121×C59C2318yescomplemented
297#121×C59C2318yescomplemented
298#121×C59C2318yescomplemented
299#121×C59C2318yescomplemented
300#121×C59C2314yescomplemented
301#121×C59C2314yescomplemented
302#121×C59C2314yescomplemented
303#121×C59C2318yescomplemented
304#121×C59C2314yescomplemented
305#121×C59C2314yescomplemented
306#121×C59C2314yescomplemented
307#121×C59C2314yescomplemented
308#121×C59C2318yescomplemented
309#121×C59C2318yescomplemented
310#121×C59C2314yescomplemented
311#121×C59C2318yescomplemented
312#121×C59C2318yescomplemented
313#121×C59C2318yescomplemented
314#121×C59C2312yescomplemented
315#121×C59C2314yescomplemented
316#121×C59C2318yescomplemented
317#121×C59C2314yescomplemented
318#121×C59C2314yescomplemented
319#121×C59C2314yescomplemented
320#121×C59C2318yescomplemented
321#121×C59C2318yescomplemented
322#121×C59C2318yescomplemented
323#121×C59C2318yescomplemented
324#121×C59C2318yescomplemented
325#121×C59C2318yescomplemented
326#121×C59C2318yescomplemented
327#121×C59C2318yescomplemented
328#121×C59C2318yescomplemented
329#121×C59C2318yescomplemented
330#121×C59C2318yescomplemented
331#121×C59C2318yescomplemented
332#121×C59C2318yescomplemented
333#120×C59C2314yes—
334#120×C59C2318yes—
335#120×C59C2318yes—
336#120×C59C2318yes—
337#120×C59C2318yes—
338#120×C59C2318yescomplemented
339#120×C59C2314yescomplemented
340#120×C59C2318yescomplemented
341#120×C59C2318yescomplemented
342#120×C59C2318yescomplemented
343#120×C59C2318yescomplemented
344#120×C59C2318yescomplemented
345#120×C59C2318yescomplemented
346#120×C59C2318yescomplemented
347#120×C59C2318yescomplemented
348#120×C59C2318yescomplemented
349#120×C59C2318yescomplemented
350#120×C59C2318yescomplemented
351#120×C59C2318yescomplemented
352#120×C59C2318yescomplemented
353#120×C59C2318yescomplemented
354#120×C59C2318yescomplemented
355#120×C59C2318yescomplemented
356#120×C59C2314yescomplemented
357#120×C59C2318yescomplemented
358#120×C59C2318yescomplemented
359#120×C59C2318yescomplemented
360C4×Q8×C59C2314yescomplemented
361C4×Q8×C59C2312yescomplemented
362C4×D4×C59C2312yes—
363C4×D4×C59C2314yes—
364C4×D4×C59C2314yes—
365C4×D4×C59C2314yes—
366C4×D4×C59C2314yescomplemented
367C4×D4×C59C2314yescomplemented
368C4×D4×C59C2314yescomplemented
369C4×D4×C59C2318yescomplemented
370C4×D4×C59C2314yescomplemented
371C4×D4×C59C2314yescomplemented
372C4×D4×C59C2312yescomplemented
373C4×D4×C59C2314yescomplemented
374C4×D4×C59C2318yescomplemented
375C4×D4×C59C2318yescomplemented
376C4×D4×C59C2318yescomplemented
377C4×D4×C59C2318yescomplemented
378C4×D4×C59C2318yescomplemented
379C4×D4×C59C2318yescomplemented
380C4×D4×C59C2314yescomplemented
381C4×D4×C59C2314yescomplemented
382C4×D4×C59C2318yescomplemented
383C4×D4×C59C2312yescomplemented
384C4×D4×C59C2314yescomplemented
385C4×D4×C59C2318yescomplemented
386C4×D4×C59C2318yescomplemented
387C4×D4×C59C2318yescomplemented
388C4×D4×C59C2318yescomplemented
389C4×D4×C59C2314yescomplemented
390#117×C59C2314yescomplemented
391#117×C59C2318yescomplemented
392#117×C59C2314yescomplemented
393#117×C59C2312yescomplemented
394#117×C59C2314yescomplemented
395#117×C59C2314yescomplemented
396#117×C59C2318yescomplemented
397C2×C4⋊C4×C59C2312yescomplemented
398C2×C4⋊C4×C59C2312yescomplemented
399C2×C4⋊C4×C59C2311yescharacteristic, complemented
400C2×C4⋊C4×C59C2311yescharacteristic, complemented
401C2×C4⋊C4×C59C2314yescomplemented
402C2×C4⋊C4×C59C2312yescomplemented
403C2×C4⋊C4×C59C2312yescomplemented
404C2×C4⋊C4×C59C2314yescomplemented
405C2×C22⋊C4×C59C2311yescharacteristic
406C2×C22⋊C4×C59C2312yes—
407C2×C22⋊C4×C59C2312yes—
408C2×C22⋊C4×C59C2318yescomplemented
409C2×C22⋊C4×C59C2312yescomplemented
410C2×C22⋊C4×C59C2312yescomplemented
411C2×C22⋊C4×C59C2318yescomplemented
412C2×C22⋊C4×C59C2312yescomplemented
413C2×C22⋊C4×C59C2314yescomplemented
414C2×C22⋊C4×C59C2312yescomplemented
415C2×C22⋊C4×C59C2311yescharacteristic, complemented
416C2×C22⋊C4×C59C2318yescomplemented
417C2×C22⋊C4×C59C2318yescomplemented
418C2×C22⋊C4×C59C2318yescomplemented
419C2×C22⋊C4×C59C2314yescomplemented
420C2×C22⋊C4×C59C2314yescomplemented
421C2×C22⋊C4×C59C2318yescomplemented
422C2×C22⋊C4×C59C2312yescomplemented
423C2×C22⋊C4×C59C2318yescomplemented
424C2×C22⋊C4×C59C2314yescomplemented
425C2×C42×C59C2311yescharacteristic, complemented
426C2×C42×C59C2312yescomplemented
427C24×C59—28no—
428C24×C59—44no—
429C24×C59—48no—
430C24×C59—48no—
431C24×C59—82no—
432C24×C59—84no—
433C24×C59C2414yes—
434C24×C59C2412yes—
435C24×C59C2414yes—
436C24×C59C2414yes—
437C24×C59C2418yes—
438C24×C59C2412yes—
439C24×C59C2412yes—
440C24×C59C2411yescharacteristic
441C24×C59C2418yes—
442C24×C59C2414yes—
443C24×C59C2411yescharacteristic
444#41×C59—28no—
445#41×C59—44no—
446#41×C59—48no—
447#41×C59—416no—
448#41×C59—48no—
449#41×C59—48no—
450#41×C59—44no—
451#41×C59—48no—
452#41×C59—84no—
453C2×Q8×C59—42no—
454C2×Q8×C59C2412yes—
455C2×Q8×C59C2412yes—
456C2×Q8×C59C2412yes—
457C2×Q8×C59C2412yes—
458C2×Q8×C59C2414yes—
459C2×D4×C59—28no—
460C2×D4×C59—216no—
461C2×D4×C59—24no—
462C2×D4×C59—28no—
463C2×D4×C59—24no—
464C2×D4×C59—216no—
465C2×D4×C59—44no—
466C2×D4×C59—42no—
467C2×D4×C59—44no—
468C2×D4×C59—48no—
469C2×D4×C59—44no—
470C2×D4×C59—48no—
471C2×D4×C59—48no—
472C2×D4×C59—48no—
473C2×D4×C59—44no—
474C2×D4×C59—416no—
475C2×D4×C59—416no—
476C2×D4×C59—48no—
477C2×D4×C59—416no—
478C2×D4×C59—416no—
479C2×D4×C59—416no—
480C2×D4×C59—48no—
481C2×D4×C59—44no—
482C2×D4×C59—48no—
483C2×D4×C59—416no—
484C2×D4×C59—416no—
485C2×D4×C59—82no—
486C2×D4×C59—84no—
487C2×D4×C59—84no—
488C2×D4×C59—88no—
489C2×D4×C59C2414yes—
490C2×D4×C59C2418yes—
491C2×D4×C59C2414yes—
492C2×D4×C59C2418yes—
493C2×D4×C59C2414yes—
494C2×D4×C59C2412yes—
495C2×D4×C59C2414yes—
496C2×D4×C59C2418yes—
497C2×D4×C59C2414yes—
498C2×D4×C59C2412yes—
499C2×D4×C59C2414yes—
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2412yes—
502C2×D4×C59C2418yes—
503C2×D4×C59C2418yes—
504C2×D4×C59C2418yes—
505C2×D4×C59C2414yes—
506C2×D4×C59C2414yes—
507C2×D4×C59C2418yes—
508C2×D4×C59C2412yes—
509C2×D4×C59C2418yes—
510C2×D4×C59C2418yes—
511C2×D4×C59C2418yes—
512C2×D4×C59C2414yes—
513C2×D4×C59C2414yes—
514C2×D4×C59C2412yes—
515C2×D4×C59C2414yes—
516C2×D4×C59C2414yes—
517C2×D4×C59C2418yes—
518C2×D4×C59C2418yes—
519C2×D4×C59C2414yes—
520C2×D4×C59C2418yes—
521C2×D4×C59C2414yes—
522C2×D4×C59C2418yes—
523C2×D4×C59C2411yescharacteristic
524C22×C4×C59—42no—
525C22×C4×C59—44no—
526C22×C4×C59—42no—
527C22×C4×C59—48no—
528C22×C4×C59—44no—
529C22×C4×C59—82no—
530C22×C4×C59C2411yescharacteristic
531C22×C4×C59C2412yes—
532C22×C4×C59C2411yescharacteristic
533C22×C4×C59C2412yes—
534C22×C4×C59C2414yes—
535C22×C4×C59C2414yes—
536C22×C4×C59C2412yes—
537C22×C4×C59C2414yes—
538C22×C4×C59C2412yes—
539C22×C4×C59C2411yescharacteristic
540C22×C4×C59C2412yes—
541C22×C4×C59C2412yes—
542C22×C4×C59C2412yes—
543C22×C4×C59C2411yescharacteristic
544C22×C4×C59C2414yes—
545C22×C4×C59C2412yes—
546C22×C4×C59C2418yes—
547C22×C4×C59C2418yes—
548C22×C4×C59C2414yes—
549C22×C4×C59C2418yes—
550C22×C4×C59C2418yes—
551C22×C4×C59C2414yes—
552C22×C4×C59C2412yes—
553C22×C4×C59C2411yescharacteristic
554C22×C4×C59C2414yes—
555C22×C4×C59C2414yes—
556C22×C4×C59C2418yes—
557C4⋊C4×C59C2414yes—
558C4⋊C4×C59C2412yes—
559C4⋊C4×C59C2414yes—
560C4⋊C4×C59C2412yes—
561C4⋊C4×C59C2412yes—
562C4⋊C4×C59C2418yes—
563C4⋊C4×C59C2418yes—
564C4⋊C4×C59C2414yes—
565C4⋊C4×C59C2414yes—
566C4⋊C4×C59C2414yes—
567C4⋊C4×C59C2414yes—
568C4⋊C4×C59C2414yes—
569C4⋊C4×C59C2412yes—
570C4⋊C4×C59C2418yes—
571C4⋊C4×C59C2412yes—
572C4⋊C4×C59C2412yes—
573C4⋊C4×C59C2414yes—
574C4⋊C4×C59C2418yes—
575C4⋊C4×C59C2414yes—
576C4⋊C4×C59C2418yes—
577C4⋊C4×C59C2414yes—
578C4⋊C4×C59C2414yes—
579C22⋊C4×C59C2414yes—
580C22⋊C4×C59C2418yes—
581C22⋊C4×C59C2414yes—
582C22⋊C4×C59C2414yes—
583C22⋊C4×C59C2414yes—
584C22⋊C4×C59C2418yes—
585C22⋊C4×C59C2418yes—
586C22⋊C4×C59C2418yes—
587C22⋊C4×C59C2414yes—
588C22⋊C4×C59C2414yes—
589C22⋊C4×C59C2418yes—
590C22⋊C4×C59C2418yes—
591C22⋊C4×C59C2414yes—
592C22⋊C4×C59C2414yes—
593C22⋊C4×C59C2418yes—
594C22⋊C4×C59C2418yes—
595C22⋊C4×C59C2418yes—
596C22⋊C4×C59C2418yes—
597C22⋊C4×C59C2418yes—
598C22⋊C4×C59C2418yes—
599C22⋊C4×C59C2418yes—
600C22⋊C4×C59C2414yes—
601C22⋊C4×C59C2414yes—
602C22⋊C4×C59C2418yes—
603C22⋊C4×C59C2418yes—
604C22⋊C4×C59C2418yes—
605C22⋊C4×C59C2418yes—
606C22⋊C4×C59C2418yes—
607C22⋊C4×C59C2414yes—
608C22⋊C4×C59C2414yes—
609C22⋊C4×C59C2414yes—
610C22⋊C4×C59C2414yes—
611C42×C59C2414yes—
612C42×C59C2412yes—
613C42×C59C2414yes—
614C42×C59C2412yes—
615C42×C59C2418yes—
616C42×C59C2418yes—
617C23×C59—24no—
618C23×C59—28no—
619C23×C59—28no—
620C23×C59—24no—
621C23×C59—24no—
622C23×C59—22no—
623C23×C59—216no—
624C23×C59—28no—
625C23×C59—24no—
626C23×C59—28no—
627C23×C59—41no—
628C23×C59—42no—
629C23×C59—42no—
630C23×C59—41no—
631C23×C59—44no—
632C23×C59—42no—
633C23×C59—41no—
634C23×C59—42no—
635C23×C59—44no—
636C23×C59—44no—
637C23×C59—48no—
638C23×C59—48no—
639C23×C59—48no—
640C23×C59—41no—
641C23×C59—42no—
642C23×C59—48no—
643C23×C59—44no—
644C23×C59—44no—
645C23×C59—48no—
646C23×C59—44no—
647C23×C59—44no—
648C23×C59—44no—
649C23×C59—816no—
650C23×C59—832no—
651C23×C59H(5,𝔽2)14yescomplemented
652C23×C59C2514yes—
653C23×C59C2514yes—
654C23×C59C2518yes—
655C23×C59C2512yes—
656C23×C59C2512yes—
657C23×C59C2512yes—
658C23×C59C2512yes—
659C23×C59C2511yescharacteristic
660Q8×C59—24no—
661Q8×C59—42no—
662Q8×C59—42no—
663Q8×C59—44no—
664Q8×C59—42no—
665D4×C59—28no—
666D4×C59—28no—
667D4×C59—28no—
668D4×C59—216no—
669D4×C59—216no—
670D4×C59—216no—
671D4×C59—28no—
672D4×C59—24no—
673D4×C59—28no—
674D4×C59—24no—
675D4×C59—28no—
676D4×C59—22no—
677D4×C59—44no—
678D4×C59—48no—
679D4×C59—44no—
680D4×C59—48no—
681D4×C59—48no—
682D4×C59—48no—
683D4×C59—48no—
684D4×C59—42no—
685D4×C59—42no—
686D4×C59—44no—
687D4×C59—44no—
688D4×C59—48no—
689D4×C59—44no—
690D4×C59—48no—
691D4×C59—44no—
692D4×C59—48no—
693D4×C59—48no—
694D4×C59—42no—
695D4×C59—48no—
696D4×C59—44no—
697D4×C59—44no—
698D4×C59—48no—
699D4×C59H(5,𝔽2)14yescomplemented
700C2×C4×C59—24no—
701C2×C4×C59—28no—
702C2×C4×C59—28no—
703C2×C4×C59—22no—
704C2×C4×C59—24no—
705C2×C4×C59—22no—
706C2×C4×C59—28no—
707C2×C4×C59—24no—
708C2×C4×C59—41no—
709C2×C4×C59—41no—
710C2×C4×C59—48no—
711C2×C4×C59—44no—
712C2×C4×C59—48no—
713C2×C4×C59—42no—
714C2×C4×C59—42no—
715C2×C4×C59—42no—
716C2×C4×C59—42no—
717C2×C4×C59—44no—
718C2×C4×C59—41no—
719C2×C4×C59—42no—
720C2×C4×C59—44no—
721C2×C4×C59—44no—
722C2×C4×C59—44no—
723C2×C4×C59—48no—
724C2×C4×C59—48no—
725C2×C4×C59—42no—
726C2×C4×C59—48no—
727C2×C4×C59C2514yes—
728C2×C4×C59C2512yes—
729C2×C4×C59C2514yes—
730C2×C4×C59C2512yes—
731C2×C4×C59C2511yescharacteristic
732C2×C4×C59C2514yes—
733C2×C4×C59C2514yes—
734C2×C4×C59C2518yes—
735C2×C4×C59C2514yes—
736C2×C4×C59C2512yes—
737C2×C4×C59C2512yes—
738C2×C4×C59C2511yescharacteristic
739#62892C5911yesmaximal, characteristic, direct product factor, Sylow
740C22×C59—21no—
741C22×C59—22no—
742C22×C59—22no—
743C22×C59—21no—
744C22×C59—22no—
745C22×C59—22no—
746C22×C59—22no—
747C22×C59—24no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—24no—
751C22×C59—28no—
752C22×C59—28no—
753C22×C59—24no—
754C22×C59—24no—
755C22×C59—22no—
756C22×C59—22no—
757C22×C59—28no—
758C22×C59—22no—
759C22×C59—24no—
760C22×C59—24no—
761C22×C59—44no—
762C22×C59—48no—
763C22×C59—416no—
764C22×C59—48no—
765C22×C59—82no—
766C22×C59—88no—
767C22×C59—88no—
768C22×C59—816no—
769C22×C59—84no—
770C22×C59—816no—
771C22×C59—164no—
772C22×C59C2×H(5,𝔽2)14yes—
773C22×C59C2×H(5,𝔽2)14yes—
774C22×C59C2×H(5,𝔽2)12yes—
775C22×C59C2611yescharacteristic
776C4×C59—22no—
777C4×C59—24no—
778C4×C59—22no—
779C4×C59—28no—
780C4×C59—24no—
781C4×C59—22no—
782C4×C59—21no—
783C4×C59—24no—
784C4×C59—24no—
785C4×C59—22no—
786C4×C59—24no—
787C4×C59C2×H(5,𝔽2)12yes—
788#3558C2×C5912yescomplemented
789#3543C2×C5914yescomplemented
790#3542C2×C5914yescomplemented
791#3537C2×C5914yescomplemented
792#3537C2×C5912yescomplemented
793#3534C2×C5918yescomplemented
794#3534C2×C5914yescomplemented
795#3532C2×C5918yescomplemented
796#3519C2×C5912yescomplemented
797#3513C2×C5914yescomplemented
798#3505C2×C5912yescomplemented
799#3496C2×C5911yescharacteristic, complemented
800#3490C2×C5912yescomplemented
801#3488C2×C5912yescomplemented
802#3484C2×C5914yescomplemented
803#3484C2×C5914yescomplemented
804C2×#546C2×C5911yescharacteristic, complemented
805C2×D42C2×C5912yescomplemented
806#3459C2×C5911yescharacteristic, complemented
807C2×#534C2×C5912yescomplemented
808C2×C59—24no—
809C2×C59—24no—
810C2×C59—22no—
811C2×C59—42no—
812C2×C59—44no—
813C2×C59—44no—
814C2×C59—48no—
815C2×C59—42no—
816C2×C59C22×H(5,𝔽2)11yescharacteristic
817C2×C59C22×H(5,𝔽2)11yescharacteristic
818C2×C59H(7,𝔽2)11yescharacteristic
819C2×H(5,𝔽2)C22×C5912yescomplemented
820C2×H(5,𝔽2)C22×C5912yescomplemented
821C22×#41C22×C5911yescharacteristic, complemented
822C23×D4C22×C5911yescharacteristic, complemented
823C23×D4C22×C5914yescomplemented
824C23×D4C22×C5912yescomplemented
825#562C22×C5918yescomplemented
826#562C22×C5914yescomplemented
827H(3,𝔽4)C22×C5914yescomplemented
828#560C22×C5918yescomplemented
829#560C22×C5918yescomplemented
830#560C22×C5918yescomplemented
831#560C22×C5918yescomplemented
832#559C22×C5914yescomplemented
833#555C22×C5912yescomplemented
834#554C22×C5912yescomplemented
835#553C22×C5918yescomplemented
836#553C22×C5914yescomplemented
837#553C22×C5914yescomplemented
838#553C22×C5918yescomplemented
839#553C22×C5914yescomplemented
840#552C22×C5914yescomplemented
841#551C22×C5918yescomplemented
842#551C22×C5918yescomplemented
843#551C22×C5918yescomplemented
844#551C22×C5918yescomplemented
845#550C22×C5914yescomplemented
846#550C22×C5912yescomplemented
847#548C22×C5914yescomplemented
848#547C22×C5914yescomplemented
849#546C22×C5914yescomplemented
850#546C22×C5914yescomplemented
851#546C22×C5914yescomplemented
852#546C22×C5918yescomplemented
853#546C22×C5918yescomplemented
854#546C22×C5918yescomplemented
855#546C22×C5918yescomplemented
856#546C22×C5918yescomplemented
857#546C22×C5914yescomplemented
858#546C22×C5918yescomplemented
859#546C22×C5918yescomplemented
860#546C22×C5914yescomplemented
861#546C22×C5918yescomplemented
862#546C22×C5918yescomplemented
863#546C22×C5918yescomplemented
864#546C22×C5914yescomplemented
865D42C22×C5914yescomplemented
866D42C22×C5918yescomplemented
867D42C22×C5914yescomplemented
868D42C22×C5914yescomplemented
869D42C22×C5912yescomplemented
870D42C22×C5918yescomplemented
871D42C22×C5918yescomplemented
872D42C22×C5918yescomplemented
873D42C22×C5918yescomplemented
874D42C22×C5914yescomplemented
875D42C22×C5914yescomplemented
876D42C22×C5914yescomplemented
877D42C22×C5918yescomplemented
878D42C22×C5918yescomplemented
879#543C22×C5911yescharacteristic, complemented
880#542C22×C5914yescomplemented
881#540C22×C5914yescomplemented
882#540C22×C5914yescomplemented
883#540C22×C5918yescomplemented
884#540C22×C5918yescomplemented
885#539C22×C5914yescomplemented
886#539C22×C5912yescomplemented
887#539C22×C5914yescomplemented
888#539C22×C5918yescomplemented
889#538C22×C5914yescomplemented
890#538C22×C5918yescomplemented
891#538C22×C5912yescomplemented
892#538C22×C5914yescomplemented
893#538C22×C5914yescomplemented
894#538C22×C5914yescomplemented
895#538C22×C5918yescomplemented
896#538C22×C5918yescomplemented
897#538C22×C5918yescomplemented
898#538C22×C5914yescomplemented
899#537C22×C5914yescomplemented
900#537C22×C5912yescomplemented
901#537C22×C5912yescomplemented
902#535C22×C5918yescomplemented
903#535C22×C5914yescomplemented
904#535C22×C5914yescomplemented
905#535C22×C5914yescomplemented
906#535C22×C5912yescomplemented
907#535C22×C5918yescomplemented
908#534C22×C5911yescharacteristic, complemented
909#534C22×C5914yescomplemented
910#534C22×C5912yescomplemented
911#534C22×C5912yescomplemented
912#534C22×C5918yescomplemented
913#534C22×C5918yescomplemented
914#534C22×C5918yescomplemented
915#534C22×C5918yescomplemented
916#534C22×C5914yescomplemented
917#534C22×C5914yescomplemented
918#534C22×C5918yescomplemented
919#534C22×C5912yescomplemented
920#534C22×C5914yescomplemented
921#532C22×C5912yescomplemented
922C2×#127C22×C5912yescomplemented
923#529C22×C5914yescomplemented
924#529C22×C5912yescomplemented
925#529C22×C5914yescomplemented
926C2×#124C22×C5911yescharacteristic, complemented
927#525C22×C5914yescomplemented
928#525C22×C5918yescomplemented
929#525C22×C5912yescomplemented
930#525C22×C5914yescomplemented
931#525C22×C5914yescomplemented
932#525C22×C5914yescomplemented
933C2×#123C22×C5918yescomplemented
934C2×#123C22×C5912yescomplemented
935C2×C22⋊Q8C22×C5911yescharacteristic, complemented
936C2×#121C22×C5912yescomplemented
937C2×#121C22×C5914yescomplemented
938C2×#121C22×C5912yescomplemented
939C2×#121C22×C5914yescomplemented
940C2×#121C22×C5914yescomplemented
941C2×#121C22×C5911yescharacteristic, complemented
942C2×#121C22×C5912yescomplemented
943C2×#121C22×C5912yescomplemented
944C2×#120C22×C5914yescomplemented
945C2×#120C22×C5912yescomplemented
946C2×#120C22×C5918yescomplemented
947C2×#120C22×C5914yescomplemented
948C2×#120C22×C5918yescomplemented
949#520C22×C5912yescomplemented
950#518C22×C5914yescomplemented
951#518C22×C5914yescomplemented
952C2×C4×D4C22×C5912yescomplemented
953C2×C4×D4C22×C5911yescharacteristic, complemented
954C2×C4×D4C22×C5912yescomplemented
955C2×C4×D4C22×C5911yescharacteristic, complemented
956C22×C22⋊C4C22×C5912yescomplemented
957C59#6289211yescharacteristic, direct product factor, Sylow
958C25C23×C5912yes—
959C25C23×C5914yescomplemented
960H(5,𝔽2)—48no—
961H(5,𝔽2)—48no—
962C2×#41—44no—
963C2×#41C23×C5912yes—
964C2×#41C23×C5912yescomplemented
965C2×#41C23×C5918yescomplemented
966C2×#41C23×C5914yescomplemented
967C2×#41C23×C5914yescomplemented
968C2×#41C23×C5914yescomplemented
969C2×#41C23×C5914yescomplemented
970C2×#41C23×C5912yescomplemented
971C2×#41C23×C5914yescomplemented
972C22×Q8C23×C5911yescharacteristic, complemented
973C22×D4—44no—
974C22×D4—48no—
975C22×D4—416no—
976C22×D4C23×C5911yescharacteristic
977C22×D4C23×C5912yes—
978C22×D4C23×C5911yescharacteristic
979C22×D4C23×C5912yes—
980C22×D4C23×C5914yes—
981C22×D4C23×C5914yes—
982C22×D4C23×C5914yes—
983C22×D4C23×C5918yes—
984C22×D4C23×C5912yes—
985C22×D4C23×C5911yescharacteristic
986C22×D4C23×C5912yes—
987C22×D4C23×C5918yes—
988C22×D4C23×C5914yescomplemented
989C22×D4C23×C5914yescomplemented
990C22×D4C23×C5912yescomplemented
991C22×D4C23×C5914yescomplemented
992C22×D4C23×C5918yescomplemented
993C22×D4C23×C5918yescomplemented
994C22×D4C23×C5918yescomplemented
995C22×D4C23×C5914yescomplemented
996C22×D4C23×C5912yescomplemented
997C22×D4C23×C5914yescomplemented
998C22×D4C23×C5912yescomplemented
999C22×D4C23×C5918yescomplemented
1000C22×D4C23×C5918yescomplemented
1001C22×D4C23×C5914yescomplemented
1002C22×D4C23×C5914yescomplemented
1003C22×D4C23×C5914yescomplemented
1004C22×D4C23×C5912yescomplemented
1005C22×D4C23×C5918yescomplemented
1006C23×C4C23×C5911yescharacteristic
1007C23×C4C23×C5912yescomplemented
1008C23×C4C23×C5911yescharacteristic, complemented
1009C23×C4C23×C5914yescomplemented
1010C23×C4C23×C5912yescomplemented
1011C23×C4C23×C5912yescomplemented
1012C4⋊Q8C23×C5912yescomplemented
1013#127C23×C5914yes—
1014#127C23×C5914yescomplemented
1015#127C23×C5918yescomplemented
1016#127C23×C5912yescomplemented
1017#127C23×C5918yescomplemented
1018#127C23×C5918yescomplemented
1019#126C23×C5914yescomplemented
1020#126C23×C5914yescomplemented
1021#126C23×C5918yescomplemented
1022#126C23×C5914yescomplemented
1023#126C23×C5918yescomplemented
1024#126C23×C5918yescomplemented
1025#126C23×C5918yescomplemented
1026#126C23×C5918yescomplemented
1027#125C23×C5914yescomplemented
1028#125C23×C5912yescomplemented
1029#125C23×C5914yescomplemented
1030#125C23×C5918yescomplemented
1031#124C23×C5914yescomplemented
1032#124C23×C5914yescomplemented
1033#124C23×C5914yescomplemented
1034#124C23×C5914yescomplemented
1035#124C23×C5912yescomplemented
1036#124C23×C5914yescomplemented
1037#124C23×C5918yescomplemented
1038#124C23×C5918yescomplemented
1039#124C23×C5918yescomplemented
1040#124C23×C5918yescomplemented
1041#124C23×C5918yescomplemented
1042#123C23×C5914yes—
1043#123C23×C5918yes—
1044#123C23×C5918yescomplemented
1045#123C23×C5918yescomplemented
1046#123C23×C5918yescomplemented
1047#123C23×C5918yescomplemented
1048#123C23×C5918yescomplemented
1049#123C23×C5918yescomplemented
1050#123C23×C5918yescomplemented
1051#123C23×C5918yescomplemented
1052#123C23×C5914yescomplemented
1053#123C23×C5914yescomplemented
1054#123C23×C5914yescomplemented
1055#123C23×C5918yescomplemented
1056#123C23×C5918yescomplemented
1057#123C23×C5914yescomplemented
1058#123C23×C5918yescomplemented
1059#123C23×C5914yescomplemented
1060#123C23×C5918yescomplemented
1061#123C23×C5918yescomplemented
1062#123C23×C5918yescomplemented
1063#123C23×C5918yescomplemented
1064#123C23×C5918yescomplemented
1065#123C23×C5918yescomplemented
1066#123C23×C5918yescomplemented
1067C22⋊Q8C23×C5914yescomplemented
1068C22⋊Q8C23×C5914yescomplemented
1069C22⋊Q8C23×C5912yescomplemented
1070C22⋊Q8C23×C5912yescomplemented
1071C22⋊Q8C23×C5912yescomplemented
1072C22⋊Q8C23×C5914yescomplemented
1073C22⋊Q8C23×C5914yescomplemented
1074C22⋊Q8C23×C5914yescomplemented
1075C22⋊Q8C23×C5918yescomplemented
1076C22⋊Q8C23×C5914yescomplemented
1077C22⋊Q8C23×C5918yescomplemented
1078C22⋊Q8C23×C5914yescomplemented
1079C22⋊Q8C23×C5914yescomplemented
1080C22⋊Q8C23×C5918yescomplemented
1081C22⋊Q8C23×C5918yescomplemented
1082#121C23×C5912yes—
1083#121C23×C5912yes—
1084#121C23×C5914yes—
1085#121C23×C5918yes—
1086#121C23×C5914yes—
1087#121C23×C5914yes—
1088#121C23×C5914yes—
1089#121C23×C5914yes—
1090#121C23×C5914yescomplemented
1091#121C23×C5914yescomplemented
1092#121C23×C5914yescomplemented
1093#121C23×C5914yescomplemented
1094#121C23×C5914yescomplemented
1095#121C23×C5918yescomplemented
1096#121C23×C5918yescomplemented
1097#121C23×C5918yescomplemented
1098#121C23×C5918yescomplemented
1099#121C23×C5914yescomplemented
1100#121C23×C5914yescomplemented
1101#121C23×C5914yescomplemented
1102#121C23×C5918yescomplemented
1103#121C23×C5914yescomplemented
1104#121C23×C5914yescomplemented
1105#121C23×C5914yescomplemented
1106#121C23×C5914yescomplemented
1107#121C23×C5918yescomplemented
1108#121C23×C5918yescomplemented
1109#121C23×C5914yescomplemented
1110#121C23×C5918yescomplemented
1111#121C23×C5918yescomplemented
1112#121C23×C5918yescomplemented
1113#121C23×C5912yescomplemented
1114#121C23×C5914yescomplemented
1115#121C23×C5918yescomplemented
1116#121C23×C5914yescomplemented
1117#121C23×C5914yescomplemented
1118#121C23×C5914yescomplemented
1119#121C23×C5918yescomplemented
1120#121C23×C5918yescomplemented
1121#121C23×C5918yescomplemented
1122#121C23×C5918yescomplemented
1123#121C23×C5918yescomplemented
1124#121C23×C5918yescomplemented
1125#121C23×C5918yescomplemented
1126#121C23×C5918yescomplemented
1127#121C23×C5918yescomplemented
1128#121C23×C5918yescomplemented
1129#121C23×C5918yescomplemented
1130#121C23×C5918yescomplemented
1131#121C23×C5918yescomplemented
1132#120C23×C5914yes—
1133#120C23×C5918yes—
1134#120C23×C5918yes—
1135#120C23×C5918yes—
1136#120C23×C5918yes—
1137#120C23×C5918yescomplemented
1138#120C23×C5914yescomplemented
1139#120C23×C5918yescomplemented
1140#120C23×C5918yescomplemented
1141#120C23×C5918yescomplemented
1142#120C23×C5918yescomplemented
1143#120C23×C5918yescomplemented
1144#120C23×C5918yescomplemented
1145#120C23×C5918yescomplemented
1146#120C23×C5918yescomplemented
1147#120C23×C5918yescomplemented
1148#120C23×C5918yescomplemented
1149#120C23×C5918yescomplemented
1150#120C23×C5918yescomplemented
1151#120C23×C5918yescomplemented
1152#120C23×C5918yescomplemented
1153#120C23×C5918yescomplemented
1154#120C23×C5918yescomplemented
1155#120C23×C5914yescomplemented
1156#120C23×C5918yescomplemented
1157#120C23×C5918yescomplemented
1158#120C23×C5918yescomplemented
1159C4×Q8C23×C5914yescomplemented
1160C4×Q8C23×C5912yescomplemented
1161C4×D4C23×C5912yes—
1162C4×D4C23×C5914yes—
1163C4×D4C23×C5914yes—
1164C4×D4C23×C5914yes—
1165C4×D4C23×C5914yescomplemented
1166C4×D4C23×C5914yescomplemented
1167C4×D4C23×C5914yescomplemented
1168C4×D4C23×C5918yescomplemented
1169C4×D4C23×C5914yescomplemented
1170C4×D4C23×C5914yescomplemented
1171C4×D4C23×C5912yescomplemented
1172C4×D4C23×C5914yescomplemented
1173C4×D4C23×C5918yescomplemented
1174C4×D4C23×C5918yescomplemented
1175C4×D4C23×C5918yescomplemented
1176C4×D4C23×C5918yescomplemented
1177C4×D4C23×C5918yescomplemented
1178C4×D4C23×C5918yescomplemented
1179C4×D4C23×C5914yescomplemented
1180C4×D4C23×C5914yescomplemented
1181C4×D4C23×C5918yescomplemented
1182C4×D4C23×C5912yescomplemented
1183C4×D4C23×C5914yescomplemented
1184C4×D4C23×C5918yescomplemented
1185C4×D4C23×C5918yescomplemented
1186C4×D4C23×C5918yescomplemented
1187C4×D4C23×C5918yescomplemented
1188C4×D4C23×C5914yescomplemented
1189#117C23×C5914yescomplemented
1190#117C23×C5918yescomplemented
1191#117C23×C5914yescomplemented
1192#117C23×C5912yescomplemented
1193#117C23×C5914yescomplemented
1194#117C23×C5914yescomplemented
1195#117C23×C5918yescomplemented
1196C2×C4⋊C4C23×C5912yescomplemented
1197C2×C4⋊C4C23×C5912yescomplemented
1198C2×C4⋊C4C23×C5911yescharacteristic, complemented
1199C2×C4⋊C4C23×C5911yescharacteristic, complemented
1200C2×C4⋊C4C23×C5914yescomplemented
1201C2×C4⋊C4C23×C5912yescomplemented
1202C2×C4⋊C4C23×C5912yescomplemented
1203C2×C4⋊C4C23×C5914yescomplemented
1204C2×C22⋊C4C23×C5911yescharacteristic
1205C2×C22⋊C4C23×C5912yes—
1206C2×C22⋊C4C23×C5912yes—
1207C2×C22⋊C4C23×C5918yescomplemented
1208C2×C22⋊C4C23×C5912yescomplemented
1209C2×C22⋊C4C23×C5912yescomplemented
1210C2×C22⋊C4C23×C5918yescomplemented
1211C2×C22⋊C4C23×C5912yescomplemented
1212C2×C22⋊C4C23×C5914yescomplemented
1213C2×C22⋊C4C23×C5912yescomplemented
1214C2×C22⋊C4C23×C5911yescharacteristic, complemented
1215C2×C22⋊C4C23×C5918yescomplemented
1216C2×C22⋊C4C23×C5918yescomplemented
1217C2×C22⋊C4C23×C5918yescomplemented
1218C2×C22⋊C4C23×C5914yescomplemented
1219C2×C22⋊C4C23×C5914yescomplemented
1220C2×C22⋊C4C23×C5918yescomplemented
1221C2×C22⋊C4C23×C5912yescomplemented
1222C2×C22⋊C4C23×C5918yescomplemented
1223C2×C22⋊C4C23×C5914yescomplemented
1224C2×C42C23×C5911yescharacteristic, complemented
1225C2×C42C23×C5912yescomplemented
1226C24—28no—
1227C24—44no—
1228C24—48no—
1229C24—48no—
1230C24—82no—
1231C24—84no—
1232C24C24×C5914yes—
1233C24C24×C5912yes—
1234C24C24×C5914yes—
1235C24C24×C5914yes—
1236C24C24×C5918yes—
1237C24C24×C5912yes—
1238C24C24×C5912yes—
1239C24C24×C5911yescharacteristic
1240C24C24×C5918yes—
1241C24C24×C5914yes—
1242C24C24×C5911yescharacteristic
1243#41—28no—
1244#41—44no—
1245#41—48no—
1246#41—416no—
1247#41—48no—
1248#41—48no—
1249#41—44no—
1250#41—48no—
1251#41—84no—
1252C2×Q8—42no—
1253C2×Q8C24×C5912yes—
1254C2×Q8C24×C5912yes—
1255C2×Q8C24×C5912yes—
1256C2×Q8C24×C5912yes—
1257C2×Q8C24×C5914yes—
1258C2×D4—28no—
1259C2×D4—216no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—216no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—44no—
1267C2×D4—48no—
1268C2×D4—44no—
1269C2×D4—48no—
1270C2×D4—48no—
1271C2×D4—48no—
1272C2×D4—44no—
1273C2×D4—416no—
1274C2×D4—416no—
1275C2×D4—48no—
1276C2×D4—416no—
1277C2×D4—416no—
1278C2×D4—416no—
1279C2×D4—48no—
1280C2×D4—44no—
1281C2×D4—48no—
1282C2×D4—416no—
1283C2×D4—416no—
1284C2×D4—82no—
1285C2×D4—84no—
1286C2×D4—84no—
1287C2×D4—88no—
1288C2×D4C24×C5914yes—
1289C2×D4C24×C5918yes—
1290C2×D4C24×C5914yes—
1291C2×D4C24×C5918yes—
1292C2×D4C24×C5914yes—
1293C2×D4C24×C5912yes—
1294C2×D4C24×C5914yes—
1295C2×D4C24×C5918yes—
1296C2×D4C24×C5914yes—
1297C2×D4C24×C5912yes—
1298C2×D4C24×C5914yes—
1299C2×D4C24×C5911yescharacteristic
1300C2×D4C24×C5912yes—
1301C2×D4C24×C5918yes—
1302C2×D4C24×C5918yes—
1303C2×D4C24×C5918yes—
1304C2×D4C24×C5914yes—
1305C2×D4C24×C5914yes—
1306C2×D4C24×C5918yes—
1307C2×D4C24×C5912yes—
1308C2×D4C24×C5918yes—
1309C2×D4C24×C5918yes—
1310C2×D4C24×C5918yes—
1311C2×D4C24×C5914yes—
1312C2×D4C24×C5914yes—
1313C2×D4C24×C5912yes—
1314C2×D4C24×C5914yes—
1315C2×D4C24×C5914yes—
1316C2×D4C24×C5918yes—
1317C2×D4C24×C5918yes—
1318C2×D4C24×C5914yes—
1319C2×D4C24×C5918yes—
1320C2×D4C24×C5914yes—
1321C2×D4C24×C5918yes—
1322C2×D4C24×C5911yescharacteristic
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—48no—
1327C22×C4—44no—
1328C22×C4—82no—
1329C22×C4C24×C5911yescharacteristic
1330C22×C4C24×C5912yes—
1331C22×C4C24×C5911yescharacteristic
1332C22×C4C24×C5912yes—
1333C22×C4C24×C5914yes—
1334C22×C4C24×C5914yes—
1335C22×C4C24×C5912yes—
1336C22×C4C24×C5914yes—
1337C22×C4C24×C5912yes—
1338C22×C4C24×C5911yescharacteristic
1339C22×C4C24×C5912yes—
1340C22×C4C24×C5912yes—
1341C22×C4C24×C5912yes—
1342C22×C4C24×C5911yescharacteristic
1343C22×C4C24×C5914yes—
1344C22×C4C24×C5912yes—
1345C22×C4C24×C5918yes—
1346C22×C4C24×C5918yes—
1347C22×C4C24×C5914yes—
1348C22×C4C24×C5918yes—
1349C22×C4C24×C5918yes—
1350C22×C4C24×C5914yes—
1351C22×C4C24×C5912yes—
1352C22×C4C24×C5911yescharacteristic
1353C22×C4C24×C5914yes—
1354C22×C4C24×C5914yes—
1355C22×C4C24×C5918yes—
1356C4⋊C4C24×C5914yes—
1357C4⋊C4C24×C5912yes—
1358C4⋊C4C24×C5914yes—
1359C4⋊C4C24×C5912yes—
1360C4⋊C4C24×C5912yes—
1361C4⋊C4C24×C5918yes—
1362C4⋊C4C24×C5918yes—
1363C4⋊C4C24×C5914yes—
1364C4⋊C4C24×C5914yes—
1365C4⋊C4C24×C5914yes—
1366C4⋊C4C24×C5914yes—
1367C4⋊C4C24×C5914yes—
1368C4⋊C4C24×C5912yes—
1369C4⋊C4C24×C5918yes—
1370C4⋊C4C24×C5912yes—
1371C4⋊C4C24×C5912yes—
1372C4⋊C4C24×C5914yes—
1373C4⋊C4C24×C5918yes—
1374C4⋊C4C24×C5914yes—
1375C4⋊C4C24×C5918yes—
1376C4⋊C4C24×C5914yes—
1377C4⋊C4C24×C5914yes—
1378C22⋊C4C24×C5914yes—
1379C22⋊C4C24×C5918yes—
1380C22⋊C4C24×C5914yes—
1381C22⋊C4C24×C5914yes—
1382C22⋊C4C24×C5914yes—
1383C22⋊C4C24×C5918yes—
1384C22⋊C4C24×C5918yes—
1385C22⋊C4C24×C5918yes—
1386C22⋊C4C24×C5914yes—
1387C22⋊C4C24×C5914yes—
1388C22⋊C4C24×C5918yes—
1389C22⋊C4C24×C5918yes—
1390C22⋊C4C24×C5914yes—
1391C22⋊C4C24×C5914yes—
1392C22⋊C4C24×C5918yes—
1393C22⋊C4C24×C5918yes—
1394C22⋊C4C24×C5918yes—
1395C22⋊C4C24×C5918yes—
1396C22⋊C4C24×C5918yes—
1397C22⋊C4C24×C5918yes—
1398C22⋊C4C24×C5918yes—
1399C22⋊C4C24×C5914yes—
1400C22⋊C4C24×C5914yes—
1401C22⋊C4C24×C5918yes—
1402C22⋊C4C24×C5918yes—
1403C22⋊C4C24×C5918yes—
1404C22⋊C4C24×C5918yes—
1405C22⋊C4C24×C5918yes—
1406C22⋊C4C24×C5914yes—
1407C22⋊C4C24×C5914yes—
1408C22⋊C4C24×C5914yes—
1409C22⋊C4C24×C5914yes—
1410C42C24×C5914yes—
1411C42C24×C5912yes—
1412C42C24×C5914yes—
1413C42C24×C5912yes—
1414C42C24×C5918yes—
1415C42C24×C5918yes—
1416C23—24no—
1417C23—28no—
1418C23—28no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—216no—
1423C23—28no—
1424C23—24no—
1425C23—28no—
1426C23—41no—
1427C23—42no—
1428C23—42no—
1429C23—41no—
1430C23—44no—
1431C23—42no—
1432C23—41no—
1433C23—42no—
1434C23—44no—
1435C23—44no—
1436C23—48no—
1437C23—48no—
1438C23—48no—
1439C23—41no—
1440C23—42no—
1441C23—48no—
1442C23—44no—
1443C23—44no—
1444C23—48no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—816no—
1449C23—832no—
1450C23H(5,𝔽2)×C5914yescomplemented
1451C23C25×C5914yes—
1452C23C25×C5914yes—
1453C23C25×C5918yes—
1454C23C25×C5912yes—
1455C23C25×C5912yes—
1456C23C25×C5912yes—
1457C23C25×C5912yes—
1458C23C25×C5911yescharacteristic
1459Q8—24no—
1460Q8—42no—
1461Q8—42no—
1462Q8—44no—
1463Q8—42no—
1464D4—28no—
1465D4—28no—
1466D4—28no—
1467D4—216no—
1468D4—216no—
1469D4—216no—
1470D4—28no—
1471D4—24no—
1472D4—28no—
1473D4—24no—
1474D4—28no—
1475D4—22no—
1476D4—44no—
1477D4—48no—
1478D4—44no—
1479D4—48no—
1480D4—48no—
1481D4—48no—
1482D4—48no—
1483D4—42no—
1484D4—42no—
1485D4—44no—
1486D4—44no—
1487D4—48no—
1488D4—44no—
1489D4—48no—
1490D4—44no—
1491D4—48no—
1492D4—48no—
1493D4—42no—
1494D4—48no—
1495D4—44no—
1496D4—44no—
1497D4—48no—
1498D4H(5,𝔽2)×C5914yescomplemented
1499C2×C4—24no—
1500C2×C4—28no—
1501C2×C4—28no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—28no—
1506C2×C4—24no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—48no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—42no—
1513C2×C4—42no—
1514C2×C4—42no—
1515C2×C4—42no—
1516C2×C4—44no—
1517C2×C4—41no—
1518C2×C4—42no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—42no—
1525C2×C4—48no—
1526C2×C4C25×C5914yes—
1527C2×C4C25×C5912yes—
1528C2×C4C25×C5914yes—
1529C2×C4C25×C5912yes—
1530C2×C4C25×C5911yescharacteristic
1531C2×C4C25×C5914yes—
1532C2×C4C25×C5914yes—
1533C2×C4C25×C5918yes—
1534C2×C4C25×C5914yes—
1535C2×C4C25×C5912yes—
1536C2×C4C25×C5912yes—
1537C2×C4C25×C5911yescharacteristic
1538C22—21no—
1539C22—22no—
1540C22—22no—
1541C22—21no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—24no—
1546C22—22no—
1547C22—22no—
1548C22—24no—
1549C22—28no—
1550C22—28no—
1551C22—24no—
1552C22—24no—
1553C22—22no—
1554C22—22no—
1555C22—28no—
1556C22—22no—
1557C22—24no—
1558C22—24no—
1559C22—44no—
1560C22—416no—
1561C22—48no—
1562C22—48no—
1563C22—88no—
1564C22—88no—
1565C22—816no—
1566C22—84no—
1567C22—82no—
1568C22—816no—
1569C22—164no—
1570C22C2×H(5,𝔽2)×C5914yes—
1571C22C2×H(5,𝔽2)×C5914yes—
1572C22C2×H(5,𝔽2)×C5912yes—
1573C22C26×C5911yescharacteristic
1574C4—22no—
1575C4—24no—
1576C4—22no—
1577C4—28no—
1578C4—24no—
1579C4—22no—
1580C4—21no—
1581C4—24no—
1582C4—24no—
1583C4—22no—
1584C4—24no—
1585C4C2×H(5,𝔽2)×C5912yes—
1586C2—24no—
1587C2—24no—
1588C2—22no—
1589C2—44no—
1590C2—44no—
1591C2—42no—
1592C2—48no—
1593C2—42no—
1594C2C22×H(5,𝔽2)×C5911yescharacteristic
1595C2C22×H(5,𝔽2)×C5911yescharacteristic
1596C2C59×H(7,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C59C26
commutator, Frattini, cosocleC22C26×C59
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#3558C2semidirect
2. C59×#3543C2semidirect
3. C59×#3542C2semidirect
4. C59×#3537C2semidirect
5. C59×#3537C2semidirect
6. C59×#3534C2semidirect
7. C59×#3534C2semidirect
8. C59×#3532C2semidirect
9. C59×#3519C2semidirect
10. C59×#3513C2semidirect
11. C59×#3505C2semidirect
12. C59×#3496C2semidirect
13. C59×#3490C2semidirect
14. C59×#3488C2semidirect
15. C59×#3484C2semidirect
16. C59×#3484C2semidirect
17. C2×C59×#546C2semidirect
18. C2×D42×C59C2semidirect
19. C59×#3459C2semidirect
20. C2×C59×#534C2semidirect
21. C2×H(5,𝔽2)×C59C22semidirect
22. C2×H(5,𝔽2)×C59C22semidirect
23. C22×#41×C59C22semidirect
24. C23×D4×C59C22semidirect
25. C23×D4×C59C22semidirect
26. C23×D4×C59C22semidirect
27. C59×#562C22semidirect
28. C59×#562C22semidirect
29. C59×H(3,𝔽4)C22semidirect
30. C59×#560C22semidirect
31. C59×#560C22semidirect
32. C59×#560C22semidirect
33. C59×#560C22semidirect
34. C59×#559C22semidirect
35. C59×#555C22semidirect
36. C59×#554C22semidirect
37. C59×#553C22semidirect
38. C59×#553C22semidirect
39. C59×#553C22semidirect
40. C59×#553C22semidirect
41. C59×#553C22semidirect
42. C59×#552C22semidirect
43. C59×#551C22semidirect
44. C59×#551C22semidirect
45. C59×#551C22semidirect
46. C59×#551C22semidirect
47. C59×#550C22semidirect
48. C59×#550C22semidirect
49. C59×#548C22semidirect
50. C59×#547C22semidirect
51. C59×#546C22semidirect
52. C59×#546C22semidirect
53. C59×#546C22semidirect
54. C59×#546C22semidirect
55. C59×#546C22semidirect
56. C59×#546C22semidirect
57. C59×#546C22semidirect
58. C59×#546C22semidirect
59. C59×#546C22semidirect
60. C59×#546C22semidirect
61. C59×#546C22semidirect
62. C59×#546C22semidirect
63. C59×#546C22semidirect
64. C59×#546C22semidirect
65. C59×#546C22semidirect
66. C59×#546C22semidirect
67. D42×C59C22semidirect
68. D42×C59C22semidirect
69. D42×C59C22semidirect
70. D42×C59C22semidirect
71. D42×C59C22semidirect
72. D42×C59C22semidirect
73. D42×C59C22semidirect
74. D42×C59C22semidirect
75. D42×C59C22semidirect
76. D42×C59C22semidirect
77. D42×C59C22semidirect
78. D42×C59C22semidirect
79. D42×C59C22semidirect
80. D42×C59C22semidirect
81. C59×#543C22semidirect
82. C59×#542C22semidirect
83. C59×#540C22semidirect
84. C59×#540C22semidirect
85. C59×#540C22semidirect
86. C59×#540C22semidirect
87. C59×#539C22semidirect
88. C59×#539C22semidirect
89. C59×#539C22semidirect
90. C59×#539C22semidirect
91. C59×#538C22semidirect
92. C59×#538C22semidirect
93. C59×#538C22semidirect
94. C59×#538C22semidirect
95. C59×#538C22semidirect
96. C59×#538C22semidirect
97. C59×#538C22semidirect
98. C59×#538C22semidirect
99. C59×#538C22semidirect
100. C59×#538C22semidirect
101. C59×#537C22semidirect
102. C59×#537C22semidirect
103. C59×#537C22semidirect
104. C59×#535C22semidirect
105. C59×#535C22semidirect
106. C59×#535C22semidirect
107. C59×#535C22semidirect
108. C59×#535C22semidirect
109. C59×#535C22semidirect
110. C59×#534C22semidirect
111. C59×#534C22semidirect
112. C59×#534C22semidirect
113. C59×#534C22semidirect
114. C59×#534C22semidirect
115. C59×#534C22semidirect
116. C59×#534C22semidirect
117. C59×#534C22semidirect
118. C59×#534C22semidirect
119. C59×#534C22semidirect
120. C59×#534C22semidirect
121. C59×#534C22semidirect
122. C59×#534C22semidirect
123. C59×#532C22semidirect
124. C2×#127×C59C22semidirect
125. C59×#529C22semidirect
126. C59×#529C22semidirect
127. C59×#529C22semidirect
128. C2×#124×C59C22semidirect
129. C59×#525C22semidirect
130. C59×#525C22semidirect
131. C59×#525C22semidirect
132. C59×#525C22semidirect
133. C59×#525C22semidirect
134. C59×#525C22semidirect
135. C2×#123×C59C22semidirect
136. C2×#123×C59C22semidirect
137. C2×C22⋊Q8×C59C22semidirect
138. C2×#121×C59C22semidirect
139. C2×#121×C59C22semidirect
140. C2×#121×C59C22semidirect
141. C2×#121×C59C22semidirect
142. C2×#121×C59C22semidirect
143. C2×#121×C59C22semidirect
144. C2×#121×C59C22semidirect
145. C2×#121×C59C22semidirect
146. C2×#120×C59C22semidirect
147. C2×#120×C59C22semidirect
148. C2×#120×C59C22semidirect
149. C2×#120×C59C22semidirect
150. C2×#120×C59C22semidirect
151. C59×#520C22semidirect
152. C59×#518C22semidirect
153. C59×#518C22semidirect
154. C2×C4×D4×C59C22semidirect
155. C2×C4×D4×C59C22semidirect
156. C2×C4×D4×C59C22semidirect
157. C2×C4×D4×C59C22semidirect
158. C22×C22⋊C4×C59C22semidirect
160. C25×C59C23semidirect
165. C2×#41×C59C23semidirect
166. C2×#41×C59C23semidirect
167. C2×#41×C59C23semidirect
168. C2×#41×C59C23semidirect
169. C2×#41×C59C23semidirect
170. C2×#41×C59C23semidirect
171. C2×#41×C59C23semidirect
172. C2×#41×C59C23semidirect
173. C22×Q8×C59C23semidirect
189. C22×D4×C59C23semidirect
190. C22×D4×C59C23semidirect
191. C22×D4×C59C23semidirect
192. C22×D4×C59C23semidirect
193. C22×D4×C59C23semidirect
194. C22×D4×C59C23semidirect
195. C22×D4×C59C23semidirect
196. C22×D4×C59C23semidirect
197. C22×D4×C59C23semidirect
198. C22×D4×C59C23semidirect
199. C22×D4×C59C23semidirect
200. C22×D4×C59C23semidirect
201. C22×D4×C59C23semidirect
202. C22×D4×C59C23semidirect
203. C22×D4×C59C23semidirect
204. C22×D4×C59C23semidirect
205. C22×D4×C59C23semidirect
206. C22×D4×C59C23semidirect
208. C23×C4×C59C23semidirect
209. C23×C4×C59C23semidirect
210. C23×C4×C59C23semidirect
211. C23×C4×C59C23semidirect
212. C23×C4×C59C23semidirect
213. C4⋊Q8×C59C23semidirect
215. #127×C59C23semidirect
216. #127×C59C23semidirect
217. #127×C59C23semidirect
218. #127×C59C23semidirect
219. #127×C59C23semidirect
220. #126×C59C23semidirect
221. #126×C59C23semidirect
222. #126×C59C23semidirect
223. #126×C59C23semidirect
224. #126×C59C23semidirect
225. #126×C59C23semidirect
226. #126×C59C23semidirect
227. #126×C59C23semidirect
228. #125×C59C23semidirect
229. #125×C59C23semidirect
230. #125×C59C23semidirect
231. #125×C59C23semidirect
232. #124×C59C23semidirect
233. #124×C59C23semidirect
234. #124×C59C23semidirect
235. #124×C59C23semidirect
236. #124×C59C23semidirect
237. #124×C59C23semidirect
238. #124×C59C23semidirect
239. #124×C59C23semidirect
240. #124×C59C23semidirect
241. #124×C59C23semidirect
242. #124×C59C23semidirect
245. #123×C59C23semidirect
246. #123×C59C23semidirect
247. #123×C59C23semidirect
248. #123×C59C23semidirect
249. #123×C59C23semidirect
250. #123×C59C23semidirect
251. #123×C59C23semidirect
252. #123×C59C23semidirect
253. #123×C59C23semidirect
254. #123×C59C23semidirect
255. #123×C59C23semidirect
256. #123×C59C23semidirect
257. #123×C59C23semidirect
258. #123×C59C23semidirect
259. #123×C59C23semidirect
260. #123×C59C23semidirect
261. #123×C59C23semidirect
262. #123×C59C23semidirect
263. #123×C59C23semidirect
264. #123×C59C23semidirect
265. #123×C59C23semidirect
266. #123×C59C23semidirect
267. #123×C59C23semidirect
268. C22⋊Q8×C59C23semidirect
269. C22⋊Q8×C59C23semidirect
270. C22⋊Q8×C59C23semidirect
271. C22⋊Q8×C59C23semidirect
272. C22⋊Q8×C59C23semidirect
273. C22⋊Q8×C59C23semidirect
274. C22⋊Q8×C59C23semidirect
275. C22⋊Q8×C59C23semidirect
276. C22⋊Q8×C59C23semidirect
277. C22⋊Q8×C59C23semidirect
278. C22⋊Q8×C59C23semidirect
279. C22⋊Q8×C59C23semidirect
280. C22⋊Q8×C59C23semidirect
281. C22⋊Q8×C59C23semidirect
282. C22⋊Q8×C59C23semidirect
291. #121×C59C23semidirect
292. #121×C59C23semidirect
293. #121×C59C23semidirect
294. #121×C59C23semidirect
295. #121×C59C23semidirect
296. #121×C59C23semidirect
297. #121×C59C23semidirect
298. #121×C59C23semidirect
299. #121×C59C23semidirect
300. #121×C59C23semidirect
301. #121×C59C23semidirect
302. #121×C59C23semidirect
303. #121×C59C23semidirect
304. #121×C59C23semidirect
305. #121×C59C23semidirect
306. #121×C59C23semidirect
307. #121×C59C23semidirect
308. #121×C59C23semidirect
309. #121×C59C23semidirect
310. #121×C59C23semidirect
311. #121×C59C23semidirect
312. #121×C59C23semidirect
313. #121×C59C23semidirect
314. #121×C59C23semidirect
315. #121×C59C23semidirect
316. #121×C59C23semidirect
317. #121×C59C23semidirect
318. #121×C59C23semidirect
319. #121×C59C23semidirect
320. #121×C59C23semidirect
321. #121×C59C23semidirect
322. #121×C59C23semidirect
323. #121×C59C23semidirect
324. #121×C59C23semidirect
325. #121×C59C23semidirect
326. #121×C59C23semidirect
327. #121×C59C23semidirect
328. #121×C59C23semidirect
329. #121×C59C23semidirect
330. #121×C59C23semidirect
331. #121×C59C23semidirect
332. #121×C59C23semidirect
338. #120×C59C23semidirect
339. #120×C59C23semidirect
340. #120×C59C23semidirect
341. #120×C59C23semidirect
342. #120×C59C23semidirect
343. #120×C59C23semidirect
344. #120×C59C23semidirect
345. #120×C59C23semidirect
346. #120×C59C23semidirect
347. #120×C59C23semidirect
348. #120×C59C23semidirect
349. #120×C59C23semidirect
350. #120×C59C23semidirect
351. #120×C59C23semidirect
352. #120×C59C23semidirect
353. #120×C59C23semidirect
354. #120×C59C23semidirect
355. #120×C59C23semidirect
356. #120×C59C23semidirect
357. #120×C59C23semidirect
358. #120×C59C23semidirect
359. #120×C59C23semidirect
360. C4×Q8×C59C23semidirect
361. C4×Q8×C59C23semidirect
366. C4×D4×C59C23semidirect
367. C4×D4×C59C23semidirect
368. C4×D4×C59C23semidirect
369. C4×D4×C59C23semidirect
370. C4×D4×C59C23semidirect
371. C4×D4×C59C23semidirect
372. C4×D4×C59C23semidirect
373. C4×D4×C59C23semidirect
374. C4×D4×C59C23semidirect
375. C4×D4×C59C23semidirect
376. C4×D4×C59C23semidirect
377. C4×D4×C59C23semidirect
378. C4×D4×C59C23semidirect
379. C4×D4×C59C23semidirect
380. C4×D4×C59C23semidirect
381. C4×D4×C59C23semidirect
382. C4×D4×C59C23semidirect
383. C4×D4×C59C23semidirect
384. C4×D4×C59C23semidirect
385. C4×D4×C59C23semidirect
386. C4×D4×C59C23semidirect
387. C4×D4×C59C23semidirect
388. C4×D4×C59C23semidirect
389. C4×D4×C59C23semidirect
390. #117×C59C23semidirect
391. #117×C59C23semidirect
392. #117×C59C23semidirect
393. #117×C59C23semidirect
394. #117×C59C23semidirect
395. #117×C59C23semidirect
396. #117×C59C23semidirect
397. C2×C4⋊C4×C59C23semidirect
398. C2×C4⋊C4×C59C23semidirect
399. C2×C4⋊C4×C59C23semidirect
400. C2×C4⋊C4×C59C23semidirect
401. C2×C4⋊C4×C59C23semidirect
402. C2×C4⋊C4×C59C23semidirect
403. C2×C4⋊C4×C59C23semidirect
404. C2×C4⋊C4×C59C23semidirect
408. C2×C22⋊C4×C59C23semidirect
409. C2×C22⋊C4×C59C23semidirect
410. C2×C22⋊C4×C59C23semidirect
411. C2×C22⋊C4×C59C23semidirect
412. C2×C22⋊C4×C59C23semidirect
413. C2×C22⋊C4×C59C23semidirect
414. C2×C22⋊C4×C59C23semidirect
415. C2×C22⋊C4×C59C23semidirect
416. C2×C22⋊C4×C59C23semidirect
417. C2×C22⋊C4×C59C23semidirect
418. C2×C22⋊C4×C59C23semidirect
419. C2×C22⋊C4×C59C23semidirect
420. C2×C22⋊C4×C59C23semidirect
421. C2×C22⋊C4×C59C23semidirect
422. C2×C22⋊C4×C59C23semidirect
423. C2×C22⋊C4×C59C23semidirect
424. C2×C22⋊C4×C59C23semidirect
425. C2×C42×C59C23semidirect
426. C2×C42×C59C23semidirect
651. C23×C59H(5,𝔽2)semidirect
699. D4×C59H(5,𝔽2)semidirect
739. #62892C59direct (N × H)
788. #3558C2×C59semidirect
789. #3543C2×C59semidirect
790. #3542C2×C59semidirect
791. #3537C2×C59semidirect
792. #3537C2×C59semidirect
793. #3534C2×C59semidirect
794. #3534C2×C59semidirect
795. #3532C2×C59semidirect
796. #3519C2×C59semidirect
797. #3513C2×C59semidirect
798. #3505C2×C59semidirect
799. #3496C2×C59semidirect
800. #3490C2×C59semidirect
801. #3488C2×C59semidirect
802. #3484C2×C59semidirect
803. #3484C2×C59semidirect
804. C2×#546C2×C59semidirect
805. C2×D42C2×C59semidirect
806. #3459C2×C59semidirect
807. C2×#534C2×C59semidirect
819. C2×H(5,𝔽2)C22×C59semidirect
820. C2×H(5,𝔽2)C22×C59semidirect
821. C22×#41C22×C59semidirect
822. C23×D4C22×C59semidirect
823. C23×D4C22×C59semidirect
824. C23×D4C22×C59semidirect
825. #562C22×C59semidirect
826. #562C22×C59semidirect
827. H(3,𝔽4)C22×C59semidirect
828. #560C22×C59semidirect
829. #560C22×C59semidirect
830. #560C22×C59semidirect
831. #560C22×C59semidirect
832. #559C22×C59semidirect
833. #555C22×C59semidirect
834. #554C22×C59semidirect
835. #553C22×C59semidirect
836. #553C22×C59semidirect
837. #553C22×C59semidirect
838. #553C22×C59semidirect
839. #553C22×C59semidirect
840. #552C22×C59semidirect
841. #551C22×C59semidirect
842. #551C22×C59semidirect
843. #551C22×C59semidirect
844. #551C22×C59semidirect
845. #550C22×C59semidirect
846. #550C22×C59semidirect
847. #548C22×C59semidirect
848. #547C22×C59semidirect
849. #546C22×C59semidirect
850. #546C22×C59semidirect
851. #546C22×C59semidirect
852. #546C22×C59semidirect
853. #546C22×C59semidirect
854. #546C22×C59semidirect
855. #546C22×C59semidirect
856. #546C22×C59semidirect
857. #546C22×C59semidirect
858. #546C22×C59semidirect
859. #546C22×C59semidirect
860. #546C22×C59semidirect
861. #546C22×C59semidirect
862. #546C22×C59semidirect
863. #546C22×C59semidirect
864. #546C22×C59semidirect
865. D42C22×C59semidirect
866. D42C22×C59semidirect
867. D42C22×C59semidirect
868. D42C22×C59semidirect
869. D42C22×C59semidirect
870. D42C22×C59semidirect
871. D42C22×C59semidirect
872. D42C22×C59semidirect
873. D42C22×C59semidirect
874. D42C22×C59semidirect
875. D42C22×C59semidirect
876. D42C22×C59semidirect
877. D42C22×C59semidirect
878. D42C22×C59semidirect
879. #543C22×C59semidirect
880. #542C22×C59semidirect
881. #540C22×C59semidirect
882. #540C22×C59semidirect
883. #540C22×C59semidirect
884. #540C22×C59semidirect
885. #539C22×C59semidirect
886. #539C22×C59semidirect
887. #539C22×C59semidirect
888. #539C22×C59semidirect
889. #538C22×C59semidirect
890. #538C22×C59semidirect
891. #538C22×C59semidirect
892. #538C22×C59semidirect
893. #538C22×C59semidirect
894. #538C22×C59semidirect
895. #538C22×C59semidirect
896. #538C22×C59semidirect
897. #538C22×C59semidirect
898. #538C22×C59semidirect
899. #537C22×C59semidirect
900. #537C22×C59semidirect
901. #537C22×C59semidirect
902. #535C22×C59semidirect
903. #535C22×C59semidirect
904. #535C22×C59semidirect
905. #535C22×C59semidirect
906. #535C22×C59semidirect
907. #535C22×C59semidirect
908. #534C22×C59semidirect
909. #534C22×C59semidirect
910. #534C22×C59semidirect
911. #534C22×C59semidirect
912. #534C22×C59semidirect
913. #534C22×C59semidirect
914. #534C22×C59semidirect
915. #534C22×C59semidirect
916. #534C22×C59semidirect
917. #534C22×C59semidirect
918. #534C22×C59semidirect
919. #534C22×C59semidirect
920. #534C22×C59semidirect
921. #532C22×C59semidirect
922. C2×#127C22×C59semidirect
923. #529C22×C59semidirect
924. #529C22×C59semidirect
925. #529C22×C59semidirect
926. C2×#124C22×C59semidirect
927. #525C22×C59semidirect
928. #525C22×C59semidirect
929. #525C22×C59semidirect
930. #525C22×C59semidirect
931. #525C22×C59semidirect
932. #525C22×C59semidirect
933. C2×#123C22×C59semidirect
934. C2×#123C22×C59semidirect
935. C2×C22⋊Q8C22×C59semidirect
936. C2×#121C22×C59semidirect
937. C2×#121C22×C59semidirect
938. C2×#121C22×C59semidirect
939. C2×#121C22×C59semidirect
940. C2×#121C22×C59semidirect
941. C2×#121C22×C59semidirect
942. C2×#121C22×C59semidirect
943. C2×#121C22×C59semidirect
944. C2×#120C22×C59semidirect
945. C2×#120C22×C59semidirect
946. C2×#120C22×C59semidirect
947. C2×#120C22×C59semidirect
948. C2×#120C22×C59semidirect
949. #520C22×C59semidirect
950. #518C22×C59semidirect
951. #518C22×C59semidirect
952. C2×C4×D4C22×C59semidirect
953. C2×C4×D4C22×C59semidirect
954. C2×C4×D4C22×C59semidirect
955. C2×C4×D4C22×C59semidirect
956. C22×C22⋊C4C22×C59semidirect
957. C59#62892direct (N × H)
959. C25C23×C59semidirect
964. C2×#41C23×C59semidirect
965. C2×#41C23×C59semidirect
966. C2×#41C23×C59semidirect
967. C2×#41C23×C59semidirect
968. C2×#41C23×C59semidirect
969. C2×#41C23×C59semidirect
970. C2×#41C23×C59semidirect
971. C2×#41C23×C59semidirect
972. C22×Q8C23×C59semidirect
988. C22×D4C23×C59semidirect
989. C22×D4C23×C59semidirect
990. C22×D4C23×C59semidirect
991. C22×D4C23×C59semidirect
992. C22×D4C23×C59semidirect
993. C22×D4C23×C59semidirect
994. C22×D4C23×C59semidirect
995. C22×D4C23×C59semidirect
996. C22×D4C23×C59semidirect
997. C22×D4C23×C59semidirect
998. C22×D4C23×C59semidirect
999. C22×D4C23×C59semidirect
1000. C22×D4C23×C59semidirect
1001. C22×D4C23×C59semidirect
1002. C22×D4C23×C59semidirect
1003. C22×D4C23×C59semidirect
1004. C22×D4C23×C59semidirect
1005. C22×D4C23×C59semidirect
1007. C23×C4C23×C59semidirect
1008. C23×C4C23×C59semidirect
1009. C23×C4C23×C59semidirect
1010. C23×C4C23×C59semidirect
1011. C23×C4C23×C59semidirect
1012. C4⋊Q8C23×C59semidirect
1014. #127C23×C59semidirect
1015. #127C23×C59semidirect
1016. #127C23×C59semidirect
1017. #127C23×C59semidirect
1018. #127C23×C59semidirect
1019. #126C23×C59semidirect
1020. #126C23×C59semidirect
1021. #126C23×C59semidirect
1022. #126C23×C59semidirect
1023. #126C23×C59semidirect
1024. #126C23×C59semidirect
1025. #126C23×C59semidirect
1026. #126C23×C59semidirect
1027. #125C23×C59semidirect
1028. #125C23×C59semidirect
1029. #125C23×C59semidirect
1030. #125C23×C59semidirect
1031. #124C23×C59semidirect
1032. #124C23×C59semidirect
1033. #124C23×C59semidirect
1034. #124C23×C59semidirect
1035. #124C23×C59semidirect
1036. #124C23×C59semidirect
1037. #124C23×C59semidirect
1038. #124C23×C59semidirect
1039. #124C23×C59semidirect
1040. #124C23×C59semidirect
1041. #124C23×C59semidirect
1044. #123C23×C59semidirect
1045. #123C23×C59semidirect
1046. #123C23×C59semidirect
1047. #123C23×C59semidirect
1048. #123C23×C59semidirect
1049. #123C23×C59semidirect
1050. #123C23×C59semidirect
1051. #123C23×C59semidirect
1052. #123C23×C59semidirect
1053. #123C23×C59semidirect
1054. #123C23×C59semidirect
1055. #123C23×C59semidirect
1056. #123C23×C59semidirect
1057. #123C23×C59semidirect
1058. #123C23×C59semidirect
1059. #123C23×C59semidirect
1060. #123C23×C59semidirect
1061. #123C23×C59semidirect
1062. #123C23×C59semidirect
1063. #123C23×C59semidirect
1064. #123C23×C59semidirect
1065. #123C23×C59semidirect
1066. #123C23×C59semidirect
1067. C22⋊Q8C23×C59semidirect
1068. C22⋊Q8C23×C59semidirect
1069. C22⋊Q8C23×C59semidirect
1070. C22⋊Q8C23×C59semidirect
1071. C22⋊Q8C23×C59semidirect
1072. C22⋊Q8C23×C59semidirect
1073. C22⋊Q8C23×C59semidirect
1074. C22⋊Q8C23×C59semidirect
1075. C22⋊Q8C23×C59semidirect
1076. C22⋊Q8C23×C59semidirect
1077. C22⋊Q8C23×C59semidirect
1078. C22⋊Q8C23×C59semidirect
1079. C22⋊Q8C23×C59semidirect
1080. C22⋊Q8C23×C59semidirect
1081. C22⋊Q8C23×C59semidirect
1090. #121C23×C59semidirect
1091. #121C23×C59semidirect
1092. #121C23×C59semidirect
1093. #121C23×C59semidirect
1094. #121C23×C59semidirect
1095. #121C23×C59semidirect
1096. #121C23×C59semidirect
1097. #121C23×C59semidirect
1098. #121C23×C59semidirect
1099. #121C23×C59semidirect
1100. #121C23×C59semidirect
1101. #121C23×C59semidirect
1102. #121C23×C59semidirect
1103. #121C23×C59semidirect
1104. #121C23×C59semidirect
1105. #121C23×C59semidirect
1106. #121C23×C59semidirect
1107. #121C23×C59semidirect
1108. #121C23×C59semidirect
1109. #121C23×C59semidirect
1110. #121C23×C59semidirect
1111. #121C23×C59semidirect
1112. #121C23×C59semidirect
1113. #121C23×C59semidirect
1114. #121C23×C59semidirect
1115. #121C23×C59semidirect
1116. #121C23×C59semidirect
1117. #121C23×C59semidirect
1118. #121C23×C59semidirect
1119. #121C23×C59semidirect
1120. #121C23×C59semidirect
1121. #121C23×C59semidirect
1122. #121C23×C59semidirect
1123. #121C23×C59semidirect
1124. #121C23×C59semidirect
1125. #121C23×C59semidirect
1126. #121C23×C59semidirect
1127. #121C23×C59semidirect
1128. #121C23×C59semidirect
1129. #121C23×C59semidirect
1130. #121C23×C59semidirect
1131. #121C23×C59semidirect
1137. #120C23×C59semidirect
1138. #120C23×C59semidirect
1139. #120C23×C59semidirect
1140. #120C23×C59semidirect
1141. #120C23×C59semidirect
1142. #120C23×C59semidirect
1143. #120C23×C59semidirect
1144. #120C23×C59semidirect
1145. #120C23×C59semidirect
1146. #120C23×C59semidirect
1147. #120C23×C59semidirect
1148. #120C23×C59semidirect
1149. #120C23×C59semidirect
1150. #120C23×C59semidirect
1151. #120C23×C59semidirect
1152. #120C23×C59semidirect
1153. #120C23×C59semidirect
1154. #120C23×C59semidirect
1155. #120C23×C59semidirect
1156. #120C23×C59semidirect
1157. #120C23×C59semidirect
1158. #120C23×C59semidirect
1159. C4×Q8C23×C59semidirect
1160. C4×Q8C23×C59semidirect
1165. C4×D4C23×C59semidirect
1166. C4×D4C23×C59semidirect
1167. C4×D4C23×C59semidirect
1168. C4×D4C23×C59semidirect
1169. C4×D4C23×C59semidirect
1170. C4×D4C23×C59semidirect
1171. C4×D4C23×C59semidirect
1172. C4×D4C23×C59semidirect
1173. C4×D4C23×C59semidirect
1174. C4×D4C23×C59semidirect
1175. C4×D4C23×C59semidirect
1176. C4×D4C23×C59semidirect
1177. C4×D4C23×C59semidirect
1178. C4×D4C23×C59semidirect
1179. C4×D4C23×C59semidirect
1180. C4×D4C23×C59semidirect
1181. C4×D4C23×C59semidirect
1182. C4×D4C23×C59semidirect
1183. C4×D4C23×C59semidirect
1184. C4×D4C23×C59semidirect
1185. C4×D4C23×C59semidirect
1186. C4×D4C23×C59semidirect
1187. C4×D4C23×C59semidirect
1188. C4×D4C23×C59semidirect
1189. #117C23×C59semidirect
1190. #117C23×C59semidirect
1191. #117C23×C59semidirect
1192. #117C23×C59semidirect
1193. #117C23×C59semidirect
1194. #117C23×C59semidirect
1195. #117C23×C59semidirect
1196. C2×C4⋊C4C23×C59semidirect
1197. C2×C4⋊C4C23×C59semidirect
1198. C2×C4⋊C4C23×C59semidirect
1199. C2×C4⋊C4C23×C59semidirect
1200. C2×C4⋊C4C23×C59semidirect
1201. C2×C4⋊C4C23×C59semidirect
1202. C2×C4⋊C4C23×C59semidirect
1203. C2×C4⋊C4C23×C59semidirect
1207. C2×C22⋊C4C23×C59semidirect
1208. C2×C22⋊C4C23×C59semidirect
1209. C2×C22⋊C4C23×C59semidirect
1210. C2×C22⋊C4C23×C59semidirect
1211. C2×C22⋊C4C23×C59semidirect
1212. C2×C22⋊C4C23×C59semidirect
1213. C2×C22⋊C4C23×C59semidirect
1214. C2×C22⋊C4C23×C59semidirect
1215. C2×C22⋊C4C23×C59semidirect
1216. C2×C22⋊C4C23×C59semidirect
1217. C2×C22⋊C4C23×C59semidirect
1218. C2×C22⋊C4C23×C59semidirect
1219. C2×C22⋊C4C23×C59semidirect
1220. C2×C22⋊C4C23×C59semidirect
1221. C2×C22⋊C4C23×C59semidirect
1222. C2×C22⋊C4C23×C59semidirect
1223. C2×C22⋊C4C23×C59semidirect
1224. C2×C42C23×C59semidirect
1225. C2×C42C23×C59semidirect
1450. C23H(5,𝔽2)×C59semidirect
1498. D4H(5,𝔽2)×C59semidirect

Maximal subgroups

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

subgroupindex
C59×#35582
C59×#35432
C59×#35422
C59×#35372
C59×#35342
C59×#35322
C59×#35192
C59×#35132
C59×#35052
C59×#34962
C59×#34902
C59×#34882
C59×#34842
C2×C59×#5462
C2×D42×C592
C59×#34592
C2×C59×#5342
#6289259