Finite Group Databasebeta

← C59×#62080 #28474189

Subgroups — C59×#62080 #28474189

Order 15104.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3552C211yesmaximal, characteristic, complemented
2C59×#3521C211yesmaximal, characteristic, complemented
3C59×#3402C211yesmaximal, characteristic, complemented
4C59×#3398C211yesmaximal, characteristic, complemented
5C59×#3376C211yesmaximal, characteristic, complemented
6C59×#3372C211yesmaximal, characteristic, complemented
7C59×#3328C211yesmaximal, characteristic, complemented
8C59×#3326C211yesmaximal, characteristic, complemented
9C59×#3320C211yesmaximal, characteristic, complemented
10C59×#3315C211yesmaximal, characteristic, complemented
11C59×#3313C211yesmaximal, characteristic, complemented
12C59×#3312C211yesmaximal, characteristic, complemented
13C59×#3276C211yesmaximal, characteristic, complemented
14C59×#3275C211yesmaximal, characteristic, complemented
15C59×#3269C211yesmaximal, characteristic, complemented
16C59×#3267C211yesmaximal, characteristic, complemented
17C59×#3266C211yesmaximal, characteristic, complemented
18C59×#3266C211yesmaximal, characteristic, complemented
19C59×#3261C211yesmaximal, characteristic, complemented
20C59×#3258C211yesmaximal, characteristic, complemented
21C59×#3256C211yesmaximal, characteristic, complemented
22C59×#3225C211yesmaximal, characteristic, complemented
23C59×#3223C211yesmaximal, characteristic, complemented
24C59×#3218C211yesmaximal, characteristic, complemented
25C59×#3123C211yesmaximal, characteristic, complemented
26C59×#3120C211yesmaximal, characteristic, complemented
27C59×#3111C211yesmaximal, characteristic, complemented
28C59×#3046C211yesmaximal, characteristic, complemented
29C59×#3042C211yesmaximal, characteristic, complemented
30C59×#3039C211yesmaximal, characteristic, complemented
31C59×#2995C211yesmaximal, characteristic, complemented
32C2×#137×C59C2211yescharacteristic
33C2×#137×C59C2211yescharacteristic
34C2×#137×C59C2211yescharacteristic
35C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
36C2×#135×C59C2211yescharacteristic
37C22×SD16×C59C2211yescharacteristic
38C59×#563—21no—
39C59×#563—21no—
40C59×#557C2211yescharacteristic, complemented
41C59×#556C2211yescharacteristic
42C59×#556C2211yescharacteristic
43C59×#556C2211yescharacteristic, complemented
44C59×#554—21no—
45C59×#554C2211yescharacteristic
46C59×#553—21no—
47C59×#553—21no—
48C59×#553C2211yescharacteristic
49C59×#552—21no—
50C59×#552C2211yescharacteristic
51C59×#551—21no—
52C59×#551—21no—
53D4×Q8×C59C2211yescharacteristic
54D4×Q8×C59C2211yescharacteristic
55D4×Q8×C59C2211yescharacteristic, complemented
56C59×#548C2211yescharacteristic
57C59×#548C2211yescharacteristic, complemented
58C59×#547C2211yescharacteristic
59C59×#547C2211yescharacteristic
60C59×#546C2211yescharacteristic
61C59×#546C2211yescharacteristic
62C59×#544—21no—
63C59×#542—21no—
64C59×#542C2211yescharacteristic
65C59×#541C2211yescharacteristic
66C59×#541C2211yescharacteristic
67C59×#541C2211yescharacteristic, complemented
68C59×#539—21no—
69C59×#539—21no—
70C59×#539—21no—
71C59×#538—21no—
72C59×#536C2211yescharacteristic
73C59×#536C2211yescharacteristic, complemented
74C2×C4⋊Q8×C59C2211yescharacteristic, complemented
75C59×#529—21no—
76C59×#529C2211yescharacteristic
77C59×#529C2211yescharacteristic
78C59×#529C2211yescharacteristic, complemented
79C2×#126×C59—21no—
80C59×#520C2211yescharacteristic
81C59×#518C2211yescharacteristic
82C4×#41×C59C2211yescharacteristic
83C59×#497C2211yescharacteristic
84C59×#497C2211yescharacteristic
85C59×#497C2211yescharacteristic
86C59×#497C2211yescharacteristic, complemented
87C59×#495C2211yescharacteristic
88C59×#494C2211yescharacteristic, complemented
89C59×#491C2211yescharacteristic, complemented
90C59×#491C2211yescharacteristic, complemented
91C59×#491C2211yescharacteristic, complemented
92C59×#489C2211yescharacteristic, complemented
93C59×#488C2211yescharacteristic, complemented
94C59×#487C2211yescharacteristic, complemented
95C59×#485C2211yescharacteristic
96C59×#485C2211yescharacteristic
97C59×#485C2211yescharacteristic, complemented
98C59×#484C2211yescharacteristic, complemented
99C59×#483C2211yescharacteristic, complemented
100C59×#482C2211yescharacteristic, complemented
101C59×#479C2211yescharacteristic, complemented
102C59×#479C2211yescharacteristic, complemented
103C59×#479C2211yescharacteristic, complemented
104C59×#479C2211yescharacteristic, complemented
105C59×#479C2211yescharacteristic, complemented
106C59×#478C2211yescharacteristic
107C59×#478C2211yescharacteristic
108C59×#478C2211yescharacteristic, complemented
109C59×#477C2211yescharacteristic, complemented
110C59×#475C2211yescharacteristic, complemented
111C59×#470C2211yescharacteristic
112C59×#470C2211yescharacteristic
113C59×#470C2211yescharacteristic, complemented
114C59×#470C2211yescharacteristic, complemented
115C59×#469C2211yescharacteristic
116C59×#468C2211yescharacteristic
117C59×#468C2211yescharacteristic
118C59×#468C2211yescharacteristic, complemented
119C59×#467C2211yescharacteristic
120C59×#467C2211yescharacteristic
121C59×#467C2211yescharacteristic, complemented
122C59×#465C2211yescharacteristic
123C59×#464C2211yescharacteristic
124C59×#464C2211yescharacteristic
125C59×#464C2211yescharacteristic
126C59×#464C2211yescharacteristic, complemented
127C59×#464C2211yescharacteristic, complemented
128C59×#464C2211yescharacteristic, complemented
129C59×#463C2211yescharacteristic
130C59×#463C2211yescharacteristic
131C59×#463C2211yescharacteristic
132C59×#463C2211yescharacteristic
133C59×#463C2211yescharacteristic
134C59×#463C2211yescharacteristic
135C59×#462C2211yescharacteristic, complemented
136C59×#462C2211yescharacteristic, complemented
137C59×#462C2211yescharacteristic, complemented
138C59×#462C2211yescharacteristic, complemented
139C59×#462C2211yescharacteristic, complemented
140C59×#462C2211yescharacteristic, complemented
141C59×#462C2211yescharacteristic, complemented
142C59×#462C2211yescharacteristic, complemented
143C59×#462C2211yescharacteristic, complemented
144C59×#461C2211yescharacteristic
145C59×#461C2211yescharacteristic
146C59×#461C2211yescharacteristic
147C59×#461C2211yescharacteristic
148C59×#461C2211yescharacteristic
149C59×#461C2211yescharacteristic
150C59×#461C2211yescharacteristic
151C59×#461C2211yescharacteristic
152C59×#461C2211yescharacteristic
153C59×#452C2211yescharacteristic
154C59×#452C2211yescharacteristic
155C59×#452C2211yescharacteristic
156C59×#452C2211yescharacteristic
157C59×#452C2211yescharacteristic
158C59×#452C2211yescharacteristic, complemented
159C59×#451C2211yescharacteristic
160C59×#451C2211yescharacteristic
161C59×#451C2211yescharacteristic, complemented
162C59×#451C2211yescharacteristic, complemented
163C59×#451C2211yescharacteristic, complemented
164C59×#450C2211yescharacteristic
165C59×#450C2211yescharacteristic
166C59×#449C2211yescharacteristic
167C59×#449C2211yescharacteristic
168C59×#448C2211yescharacteristic
169C59×#448C2211yescharacteristic
170C59×#448C2211yescharacteristic
171C59×#446C2211yescharacteristic, complemented
172C59×#446C2211yescharacteristic, complemented
173C59×#442C2211yescharacteristic
174C59×#441C2211yescharacteristic, complemented
175C59×#441C2211yescharacteristic, complemented
176C59×#440C2211yescharacteristic
177C59×#440C2211yescharacteristic
178C59×#440C2211yescharacteristic
179C59×#440C2211yescharacteristic
180C59×#440C2211yescharacteristic, complemented
181C4×Q16×C59C2211yescharacteristic, complemented
182C4×SD16×C59C2211yescharacteristic
183C4×SD16×C59C2211yescharacteristic
184C4×SD16×C59C2211yescharacteristic
185C59×#436C2211yescharacteristic
186C59×#436C2211yescharacteristic, complemented
187C59×#435C2211yescharacteristic
188C59×#435C2211yescharacteristic
189C59×#435C2211yescharacteristic
190C59×#435C2211yescharacteristic, complemented
191C59×#433C2211yescharacteristic
192C59×#433C2211yescharacteristic, complemented
193C59×#432C2211yescharacteristic, complemented
194C59×#424C2211yescharacteristic
195C59×#424C2211yescharacteristic, complemented
196C59×#423C2211yescharacteristic, complemented
197C59×#419C2211yescharacteristic
198C59×#419C2211yescharacteristic, complemented
199C59×#419C2211yescharacteristic, complemented
200C59×#417C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic
202C2×#103×C59C2211yescharacteristic, complemented
203C2×#41×C59C2311yescharacteristic
204C2×#41×C59C2311yescharacteristic
205C2×#41×C59C2311yescharacteristic
206C2×#41×C59C2311yescharacteristic
207C22×Q8×C59C2311yescharacteristic
208C22×Q8×C59C2311yescharacteristic
209C22×Q8×C59C2311yescharacteristic
210C22×Q8×C59C2311yescharacteristic
211C22×D4×C59C2311yescharacteristic
212#137×C59—42no—
213#137×C59—42no—
214#137×C59—42no—
215AGL(1,ℤ/8)×C59—42no—
216#135×C59—42no—
217C2×Q16×C59C2311yescharacteristic
218C2×Q16×C59C2311yescharacteristic
219C2×Q16×C59C2311yescharacteristic
220C2×Q16×C59C2311yescharacteristic
221C2×Q16×C59C2311yescharacteristic
222C2×Q16×C59C2311yescharacteristic
223C2×Q16×C59C2311yescharacteristic
224C2×Q16×C59C2311yescharacteristic
225C2×Q16×C59C2311yescharacteristic
226C2×Q16×C59C2311yescharacteristic
227C2×SD16×C59—42no—
228C2×SD16×C59C2311yescharacteristic
229C2×SD16×C59C2311yescharacteristic
230C2×SD16×C59C2311yescharacteristic
231C2×SD16×C59C2311yescharacteristic
232C2×SD16×C59C2311yescharacteristic
233C2×SD16×C59C2311yescharacteristic
234C2×SD16×C59C2311yescharacteristic
235C2×SD16×C59C2311yescharacteristic
236C2×SD16×C59C2311yescharacteristic
237C2×SD16×C59C2311yescharacteristic
238C2×SD16×C59C2311yescharacteristic
239C2×SD16×C59C2311yescharacteristic
240C2×D8×C59C2311yescharacteristic
241C2×D8×C59C2311yescharacteristic
242C2×M16×C59C2311yescharacteristic
243C2×M16×C59C2311yescharacteristic
244C2×M16×C59C2311yescharacteristic
245C2×M16×C59C2311yescharacteristic
246C22×C8×C59C2311yescharacteristic
247C22×C8×C59C2311yescharacteristic
248C4⋊Q8×C59—21no—
249C4⋊Q8×C59—21no—
250C4⋊Q8×C59—21no—
251C4⋊Q8×C59—21no—
252C4⋊Q8×C59—21no—
253C4⋊Q8×C59C2311yescharacteristic
254C4⋊Q8×C59C2311yescharacteristic
255C4⋊Q8×C59C2311yescharacteristic
256C4⋊Q8×C59C2311yescharacteristic
257C4⋊Q8×C59C2311yescharacteristic
258C4⋊Q8×C59C2311yescharacteristic
259C4⋊Q8×C59C2311yescharacteristic
260C4⋊Q8×C59C2311yescharacteristic
261#126×C59—21no—
262#126×C59—21no—
263#126×C59—21no—
264#126×C59—21no—
265#126×C59—21no—
266#126×C59—21no—
267#126×C59—21no—
268#126×C59—21no—
269#126×C59—21no—
270#126×C59—21no—
271#126×C59—21no—
272#126×C59—21no—
273#126×C59—21no—
274#126×C59—21no—
275#126×C59—21no—
276#126×C59—21no—
277#126×C59—21no—
278#126×C59D411yescharacteristic
279#126×C59D411yescharacteristic
280#125×C59—21no—
281#125×C59—21no—
282#125×C59—21no—
283#125×C59—21no—
284#125×C59—21no—
285#125×C59—21no—
286#125×C59—21no—
287#125×C59—21no—
288#125×C59—21no—
289#125×C59—21no—
290#125×C59D411yescharacteristic
291#125×C59C2311yescharacteristic
292#125×C59C2311yescharacteristic
293#125×C59C2311yescharacteristic
294#124×C59—21no—
295#124×C59—21no—
296#124×C59—21no—
297#124×C59—21no—
298#124×C59D411yescharacteristic
299#124×C59C2311yescharacteristic
300#124×C59C2311yescharacteristic
301#124×C59C2311yescharacteristic
302#124×C59C2311yescharacteristic
303#124×C59C2311yescharacteristic
304#123×C59—21no—
305#123×C59—21no—
306#123×C59—21no—
307#123×C59—21no—
308#123×C59—21no—
309#123×C59—21no—
310#123×C59—21no—
311#123×C59—21no—
312#123×C59—21no—
313#123×C59—21no—
314#123×C59—21no—
315#123×C59—21no—
316#123×C59—21no—
317#123×C59—21no—
318#123×C59—21no—
319#123×C59D411yescharacteristic
320#123×C59D411yescharacteristic
321C22⋊Q8×C59—21no—
322C22⋊Q8×C59—21no—
323C22⋊Q8×C59—21no—
324C22⋊Q8×C59—21no—
325C22⋊Q8×C59—21no—
326C22⋊Q8×C59—21no—
327C22⋊Q8×C59—21no—
328C22⋊Q8×C59—21no—
329C22⋊Q8×C59—21no—
330C22⋊Q8×C59—21no—
331C22⋊Q8×C59—21no—
332C22⋊Q8×C59—21no—
333C22⋊Q8×C59—21no—
334C22⋊Q8×C59—21no—
335C22⋊Q8×C59—21no—
336C22⋊Q8×C59—21no—
337C22⋊Q8×C59—21no—
338C22⋊Q8×C59—21no—
339C22⋊Q8×C59D411yescharacteristic
340C22⋊Q8×C59C2311yescharacteristic
341C22⋊Q8×C59C2311yescharacteristic
342C22⋊Q8×C59C2311yescharacteristic
343C22⋊Q8×C59C2311yescharacteristic
344C22⋊Q8×C59C2311yescharacteristic
345C22⋊Q8×C59C2311yescharacteristic
346C22⋊Q8×C59C2311yescharacteristic
347C22⋊Q8×C59C2311yescharacteristic
348C22⋊Q8×C59C2311yescharacteristic
349#121×C59—21no—
350#121×C59—21no—
351#121×C59—21no—
352#121×C59—21no—
353#121×C59—21no—
354#121×C59—21no—
355#121×C59—21no—
356#121×C59D411yescharacteristic
357#121×C59C2311yescharacteristic
358#121×C59C2311yescharacteristic
359#121×C59C2311yescharacteristic
360#120×C59—21no—
361#120×C59—21no—
362C4×Q8×C59—21no—
363C4×Q8×C59—21no—
364C4×Q8×C59C2311yescharacteristic
365C4×Q8×C59C2311yescharacteristic
366C4×Q8×C59C2311yescharacteristic
367C4×Q8×C59C2311yescharacteristic
368C4×Q8×C59C2311yescharacteristic
369C4×Q8×C59C2311yescharacteristic
370C4×Q8×C59C2311yescharacteristic
371C4×Q8×C59C2311yescharacteristic
372C4×Q8×C59C2311yescharacteristic
373C4×Q8×C59C2311yescharacteristic
374C4×D4×C59—21no—
375C4×D4×C59—21no—
376C4×D4×C59—21no—
377C4×D4×C59—21no—
378C4×D4×C59—21no—
379C4×D4×C59—21no—
380C4×D4×C59—21no—
381C4×D4×C59—21no—
382C4×D4×C59—21no—
383C4×D4×C59—21no—
384C4×D4×C59—21no—
385C4×D4×C59—21no—
386C4×D4×C59—21no—
387C4×D4×C59—21no—
388C4×D4×C59C2311yescharacteristic
389C4×D4×C59C2311yescharacteristic
390C4×D4×C59C2311yescharacteristic
391C4×D4×C59C2311yescharacteristic
392C4×D4×C59C2311yescharacteristic
393C4×D4×C59C2311yescharacteristic
394C4×D4×C59C2311yescharacteristic
395C4×D4×C59C2311yescharacteristic
396C4×D4×C59C2311yescharacteristic
397C4×D4×C59C2311yescharacteristic
398#117×C59—21no—
399#117×C59—21no—
400#117×C59—21no—
401#117×C59—21no—
402#117×C59—21no—
403#117×C59—21no—
404#117×C59—21no—
405#117×C59C2311yescharacteristic
406#117×C59C2311yescharacteristic
407#117×C59C2311yescharacteristic
408#117×C59C2311yescharacteristic
409C2×C4⋊C4×C59—21no—
410C2×C4⋊C4×C59—21no—
411C2×C4⋊C4×C59—21no—
412C2×C4⋊C4×C59—21no—
413C2×C4⋊C4×C59—21no—
414C2×C4⋊C4×C59—21no—
415C2×C4⋊C4×C59C2311yescharacteristic
416C2×C22⋊C4×C59—21no—
417C2×C22⋊C4×C59—21no—
418C2×C22⋊C4×C59—21no—
419C2×C22⋊C4×C59—21no—
420C2×C42×C59—21no—
421C2×C42×C59C2311yescharacteristic
422#107×C59C2311yescharacteristic
423#107×C59C2311yescharacteristic
424#107×C59C2311yescharacteristic
425#107×C59C2311yescharacteristic
426#106×C59C2311yescharacteristic
427#106×C59C2311yescharacteristic
428#106×C59C2311yescharacteristic
429#106×C59C2311yescharacteristic
430C4⋊C8×C59C2311yescharacteristic
431C4⋊C8×C59C2311yescharacteristic
432C4⋊C8×C59C2311yescharacteristic
433C4⋊C8×C59C2311yescharacteristic
434C4⋊C8×C59C2311yescharacteristic
435C4⋊C8×C59C2311yescharacteristic
436C4⋊C8×C59C2311yescharacteristic
437C4⋊C8×C59C2311yescharacteristic
438C4⋊C8×C59C2311yescharacteristic
439C4⋊C8×C59C2311yescharacteristic
440#103×C59C2311yescharacteristic
441#103×C59C2311yescharacteristic
442#103×C59C2311yescharacteristic
443#103×C59C2311yescharacteristic
444#103×C59C2311yescharacteristic
445#103×C59C2311yescharacteristic
446#103×C59C2311yescharacteristic
447#103×C59C2311yescharacteristic
448#103×C59C2311yescharacteristic
449#103×C59C2311yescharacteristic
450#103×C59C2311yescharacteristic
451#103×C59C2311yescharacteristic
452#103×C59C2311yescharacteristic
453#103×C59C2311yescharacteristic
454#103×C59C2311yescharacteristic
455#103×C59C2311yescharacteristic
456#103×C59C2311yescharacteristic
457#103×C59C2311yescharacteristic
458#103×C59C2311yescharacteristic
459#103×C59C2311yescharacteristic
460#103×C59C2311yescharacteristic
461#103×C59C2311yescharacteristic
462#103×C59C2311yescharacteristic
463#103×C59C2311yescharacteristic
464#102×C59C2311yescharacteristic
465#102×C59C2311yescharacteristic
466#102×C59C2311yescharacteristic
467#102×C59C2311yescharacteristic
468#102×C59C2311yescharacteristic
469#102×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472C22⋊C8×C59C2311yescharacteristic
473C22⋊C8×C59C2311yescharacteristic
474C22⋊C8×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476C22⋊C8×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C4×C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485#41×C59—22no—
486#41×C59—22no—
487#41×C59—41no—
488#41×C59—41no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492#41×C59—41no—
493C2×Q8×C59—21no—
494C2×Q8×C59—21no—
495C2×Q8×C59—21no—
496C2×Q8×C59—21no—
497C2×Q8×C59—21no—
498C2×Q8×C59—41no—
499C2×Q8×C59—41no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59—41no—
503C2×Q8×C59—41no—
504C2×Q8×C59—41no—
505C2×Q8×C59—41no—
506C2×Q8×C59C2×D411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×Q8×C59C2411yescharacteristic
509C2×Q8×C59C2411yescharacteristic
510C2×Q8×C59C2411yescharacteristic
511C2×Q8×C59C2411yescharacteristic
512C2×Q8×C59C2411yescharacteristic
513C2×Q8×C59C2411yescharacteristic
514C2×D4×C59—22no—
515C2×D4×C59—21no—
516C2×D4×C59—21no—
517C2×D4×C59—21no—
518C2×D4×C59—21no—
519C2×D4×C59—21no—
520C2×D4×C59—21no—
521C2×D4×C59—21no—
522C2×D4×C59—21no—
523C2×D4×C59—41no—
524C2×D4×C59C2×D411yescharacteristic
525C2×D4×C59C2×D411yescharacteristic
526C2×D4×C59C2×D411yescharacteristic
527C2×D4×C59C2411yescharacteristic
528C2×D4×C59C2411yescharacteristic
529C2×D4×C59C2411yescharacteristic
530C22×C4×C59—21no—
531C22×C4×C59—21no—
532C22×C4×C59—21no—
533C22×C4×C59—21no—
534C22×C4×C59—21no—
535C22×C4×C59—21no—
536C22×C4×C59—21no—
537C22×C4×C59—21no—
538C22×C4×C59—21no—
539C22×C4×C59—21no—
540C22×C4×C59—21no—
541C22×C4×C59—21no—
542C22×C4×C59—21no—
543C22×C4×C59—21no—
544C22×C4×C59—21no—
545C22×C4×C59—21no—
546C22×C4×C59C2×D411yescharacteristic
547C22×C4×C59C2×D411yescharacteristic
548C22×C4×C59C2411yescharacteristic
549C22×C4×C59C2411yescharacteristic
550C22×C4×C59C2411yescharacteristic
551Q16×C59—41no—
552Q16×C59—41no—
553Q16×C59—41no—
554Q16×C59—41no—
555Q16×C59—41no—
556Q16×C59—41no—
557Q16×C59—41no—
558Q16×C59—41no—
559Q16×C59—41no—
560Q16×C59—41no—
561SD16×C59—22no—
562SD16×C59—22no—
563SD16×C59—22no—
564SD16×C59—22no—
565SD16×C59—22no—
566SD16×C59—41no—
567SD16×C59—41no—
568SD16×C59—41no—
569SD16×C59—41no—
570SD16×C59—41no—
571SD16×C59—41no—
572SD16×C59—41no—
573D8×C59—22no—
574D8×C59—41no—
575M16×C59—41no—
576M16×C59—41no—
577M16×C59—41no—
578M16×C59—41no—
579C2×C8×C59—41no—
580C2×C8×C59—41no—
581C2×C8×C59C2411yescharacteristic
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59—21no—
597C4⋊C4×C59—21no—
598C4⋊C4×C59—21no—
599C4⋊C4×C59—21no—
600C4⋊C4×C59—21no—
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59—21no—
614C4⋊C4×C59—21no—
615C4⋊C4×C59—21no—
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59—21no—
629C4⋊C4×C59C2×D411yescharacteristic
630C4⋊C4×C59C2×D411yescharacteristic
631C4⋊C4×C59C2×D411yescharacteristic
632C4⋊C4×C59C2×D411yescharacteristic
633C4⋊C4×C59C2×D411yescharacteristic
634C4⋊C4×C59C2×D411yescharacteristic
635C4⋊C4×C59C2×D411yescharacteristic
636C4⋊C4×C59C2×D411yescharacteristic
637C4⋊C4×C59C2×D411yescharacteristic
638C4⋊C4×C59C2×D411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C4⋊C4×C59C2411yescharacteristic
643C4⋊C4×C59C2411yescharacteristic
644C4⋊C4×C59C2411yescharacteristic
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59—21no—
654C22⋊C4×C59—21no—
655C22⋊C4×C59—21no—
656C22⋊C4×C59—21no—
657C22⋊C4×C59—21no—
658C22⋊C4×C59—21no—
659C22⋊C4×C59—21no—
660C22⋊C4×C59—21no—
661C22⋊C4×C59—21no—
662C22⋊C4×C59—21no—
663C22⋊C4×C59—21no—
664C22⋊C4×C59—21no—
665C22⋊C4×C59—21no—
666C22⋊C4×C59—21no—
667C22⋊C4×C59—21no—
668C22⋊C4×C59—21no—
669C22⋊C4×C59—21no—
670C22⋊C4×C59—21no—
671C22⋊C4×C59—21no—
672C22⋊C4×C59—21no—
673C22⋊C4×C59—21no—
674C22⋊C4×C59—21no—
675C22⋊C4×C59—21no—
676C22⋊C4×C59C2×D411yescharacteristic
677C22⋊C4×C59C2×D411yescharacteristic
678C22⋊C4×C59C2×D411yescharacteristic
679C22⋊C4×C59C2×D411yescharacteristic
680C22⋊C4×C59C2×D411yescharacteristic
681C22⋊C4×C59C2×D411yescharacteristic
682C22⋊C4×C59C2×D411yescharacteristic
683C22⋊C4×C59C2×D411yescharacteristic
684C22⋊C4×C59C2×D411yescharacteristic
685C22⋊C4×C59C2×D411yescharacteristic
686C42×C59—21no—
687C42×C59—21no—
688C42×C59—21no—
689C42×C59—21no—
690C42×C59—21no—
691C42×C59—21no—
692C42×C59—21no—
693C42×C59—21no—
694C42×C59—21no—
695C42×C59—21no—
696C42×C59—21no—
697C42×C59C2×D411yescharacteristic
698C42×C59C2×D411yescharacteristic
699C42×C59C2411yescharacteristic
700C42×C59C2411yescharacteristic
701C42×C59C2411yescharacteristic
702C42×C59C2411yescharacteristic
703C23×C59—21no—
704C23×C59—21no—
705C23×C59—21no—
706C23×C59—42no—
707C23×C59—81no—
708C23×C59—81no—
709C23×C59C22×D411yescharacteristic
710C23×C59C22×D411yescharacteristic
711C23×C59C22×D411yescharacteristic
712Q8×C59—21no—
713Q8×C59—21no—
714Q8×C59—21no—
715Q8×C59—21no—
716Q8×C59—21no—
717Q8×C59—21no—
718Q8×C59—21no—
719Q8×C59—21no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—41no—
727Q8×C59—81no—
728Q8×C59—81no—
729Q8×C59—81no—
730Q8×C59—81no—
731Q8×C59—81no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—41no—
738D4×C59—41no—
739D4×C59—41no—
740D4×C59—42no—
741D4×C59—42no—
742D4×C59—42no—
743D4×C59—42no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59H(5,𝔽2)12yes—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—41no—
769C2×C4×C59—41no—
770C2×C4×C59—42no—
771C2×C4×C59—42no—
772C2×C4×C59—42no—
773C2×C4×C59—81no—
774C2×C4×C59—81no—
775C2×C4×C59—81no—
776C2×C4×C59—81no—
777C2×C4×C59—81no—
778C2×C4×C59—81no—
779C2×C4×C59—81no—
780C2×C4×C59—81no—
781C2×C4×C59—81no—
782C2×C4×C59—81no—
783C2×C4×C59—81no—
784C2×C4×C59—81no—
785C2×C4×C59—81no—
786C2×C4×C59C22×D411yescharacteristic
787C2×C4×C59C22×D411yescharacteristic
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C2511yescharacteristic
798C8×C59—21no—
799C8×C59—21no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59—21no—
804C8×C59—21no—
805C8×C59—21no—
806#62080C5911yesmaximal, characteristic, direct product factor, Sylow
807C22×C59—21no—
808C22×C59—21no—
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—21no—
816C22×C59—22no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—162no—
826C22×C59C23×D411yescharacteristic
827C4×C59—21no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—21no—
833C4×C59—21no—
834C4×C59—21no—
835C4×C59—21no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—41no—
839C4×C59—41no—
840C4×C59—41no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59—41no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59C2×H(5,𝔽2)11yescharacteristic
852C4×C59#58511yescharacteristic
853#3552C2×C5911yescharacteristic, complemented
854#3521C2×C5911yescharacteristic, complemented
855#3402C2×C5911yescharacteristic, complemented
856#3398C2×C5911yescharacteristic, complemented
857#3376C2×C5911yescharacteristic, complemented
858#3372C2×C5911yescharacteristic, complemented
859#3328C2×C5911yescharacteristic, complemented
860#3326C2×C5911yescharacteristic, complemented
861#3320C2×C5911yescharacteristic, complemented
862#3315C2×C5911yescharacteristic, complemented
863#3313C2×C5911yescharacteristic, complemented
864#3312C2×C5911yescharacteristic, complemented
865#3276C2×C5911yescharacteristic, complemented
866#3275C2×C5911yescharacteristic, complemented
867#3269C2×C5911yescharacteristic, complemented
868#3267C2×C5911yescharacteristic, complemented
869#3266C2×C5911yescharacteristic, complemented
870#3266C2×C5911yescharacteristic, complemented
871#3261C2×C5911yescharacteristic, complemented
872#3258C2×C5911yescharacteristic, complemented
873#3256C2×C5911yescharacteristic, complemented
874#3225C2×C5911yescharacteristic, complemented
875#3223C2×C5911yescharacteristic, complemented
876#3218C2×C5911yescharacteristic, complemented
877#3123C2×C5911yescharacteristic, complemented
878#3120C2×C5911yescharacteristic, complemented
879#3111C2×C5911yescharacteristic, complemented
880#3046C2×C5911yescharacteristic, complemented
881#3042C2×C5911yescharacteristic, complemented
882#3039C2×C5911yescharacteristic, complemented
883#2995C2×C5911yescharacteristic, complemented
884C2×C59—41no—
885C2×C59—41no—
886C2×C59—41no—
887C2×C59—42no—
888C2×C59—81no—
889C2×C59—81no—
890C2×C59#348811yescharacteristic
891C2×C59#358611yescharacteristic
892C2×C59#358611yescharacteristic
893C2×#137C22×C5911yescharacteristic
894C2×#137C22×C5911yescharacteristic
895C2×#137C22×C5911yescharacteristic
896C2×AGL(1,ℤ/8)C22×C5911yescharacteristic
897C2×#135C22×C5911yescharacteristic
898C22×SD16C22×C5911yescharacteristic
899#563—21no—
900#563—21no—
901#557C22×C5911yescharacteristic, complemented
902#556C22×C5911yescharacteristic
903#556C22×C5911yescharacteristic
904#556C22×C5911yescharacteristic, complemented
905#554—21no—
906#554C22×C5911yescharacteristic
907#553—21no—
908#553—21no—
909#553C22×C5911yescharacteristic
910#552—21no—
911#552C22×C5911yescharacteristic
912#551—21no—
913#551—21no—
914D4×Q8C22×C5911yescharacteristic
915D4×Q8C22×C5911yescharacteristic
916D4×Q8C22×C5911yescharacteristic, complemented
917#548C22×C5911yescharacteristic
918#548C22×C5911yescharacteristic, complemented
919#547C22×C5911yescharacteristic
920#547C22×C5911yescharacteristic
921#546C22×C5911yescharacteristic
922#546C22×C5911yescharacteristic
923#544—21no—
924#542—21no—
925#542C22×C5911yescharacteristic
926#541C22×C5911yescharacteristic
927#541C22×C5911yescharacteristic
928#541C22×C5911yescharacteristic, complemented
929#539—21no—
930#539—21no—
931#539—21no—
932#538—21no—
933#536C22×C5911yescharacteristic
934#536C22×C5911yescharacteristic, complemented
935C2×C4⋊Q8C22×C5911yescharacteristic, complemented
936#529—21no—
937#529C22×C5911yescharacteristic
938#529C22×C5911yescharacteristic
939#529C22×C5911yescharacteristic, complemented
940C2×#126—21no—
941#520C22×C5911yescharacteristic
942#518C22×C5911yescharacteristic
943C4×#41C22×C5911yescharacteristic
944#497C22×C5911yescharacteristic
945#497C22×C5911yescharacteristic
946#497C22×C5911yescharacteristic
947#497C22×C5911yescharacteristic, complemented
948#495C22×C5911yescharacteristic
949#494C22×C5911yescharacteristic, complemented
950#491C22×C5911yescharacteristic, complemented
951#491C22×C5911yescharacteristic, complemented
952#491C22×C5911yescharacteristic, complemented
953#489C22×C5911yescharacteristic, complemented
954#488C22×C5911yescharacteristic, complemented
955#487C22×C5911yescharacteristic, complemented
956#485C22×C5911yescharacteristic
957#485C22×C5911yescharacteristic
958#485C22×C5911yescharacteristic, complemented
959#484C22×C5911yescharacteristic, complemented
960#483C22×C5911yescharacteristic, complemented
961#482C22×C5911yescharacteristic, complemented
962#479C22×C5911yescharacteristic, complemented
963#479C22×C5911yescharacteristic, complemented
964#479C22×C5911yescharacteristic, complemented
965#479C22×C5911yescharacteristic, complemented
966#479C22×C5911yescharacteristic, complemented
967#478C22×C5911yescharacteristic
968#478C22×C5911yescharacteristic
969#478C22×C5911yescharacteristic, complemented
970#477C22×C5911yescharacteristic, complemented
971#475C22×C5911yescharacteristic, complemented
972#470C22×C5911yescharacteristic
973#470C22×C5911yescharacteristic
974#470C22×C5911yescharacteristic, complemented
975#470C22×C5911yescharacteristic, complemented
976#469C22×C5911yescharacteristic
977#468C22×C5911yescharacteristic
978#468C22×C5911yescharacteristic
979#468C22×C5911yescharacteristic, complemented
980#467C22×C5911yescharacteristic
981#467C22×C5911yescharacteristic
982#467C22×C5911yescharacteristic, complemented
983#465C22×C5911yescharacteristic
984#464C22×C5911yescharacteristic
985#464C22×C5911yescharacteristic
986#464C22×C5911yescharacteristic
987#464C22×C5911yescharacteristic, complemented
988#464C22×C5911yescharacteristic, complemented
989#464C22×C5911yescharacteristic, complemented
990#463C22×C5911yescharacteristic
991#463C22×C5911yescharacteristic
992#463C22×C5911yescharacteristic
993#463C22×C5911yescharacteristic
994#463C22×C5911yescharacteristic
995#463C22×C5911yescharacteristic
996#462C22×C5911yescharacteristic, complemented
997#462C22×C5911yescharacteristic, complemented
998#462C22×C5911yescharacteristic, complemented
999#462C22×C5911yescharacteristic, complemented
1000#462C22×C5911yescharacteristic, complemented
1001#462C22×C5911yescharacteristic, complemented
1002#462C22×C5911yescharacteristic, complemented
1003#462C22×C5911yescharacteristic, complemented
1004#462C22×C5911yescharacteristic, complemented
1005#461C22×C5911yescharacteristic
1006#461C22×C5911yescharacteristic
1007#461C22×C5911yescharacteristic
1008#461C22×C5911yescharacteristic
1009#461C22×C5911yescharacteristic
1010#461C22×C5911yescharacteristic
1011#461C22×C5911yescharacteristic
1012#461C22×C5911yescharacteristic
1013#461C22×C5911yescharacteristic
1014#452C22×C5911yescharacteristic
1015#452C22×C5911yescharacteristic
1016#452C22×C5911yescharacteristic
1017#452C22×C5911yescharacteristic
1018#452C22×C5911yescharacteristic
1019#452C22×C5911yescharacteristic, complemented
1020#451C22×C5911yescharacteristic
1021#451C22×C5911yescharacteristic
1022#451C22×C5911yescharacteristic, complemented
1023#451C22×C5911yescharacteristic, complemented
1024#451C22×C5911yescharacteristic, complemented
1025#450C22×C5911yescharacteristic
1026#450C22×C5911yescharacteristic
1027#449C22×C5911yescharacteristic
1028#449C22×C5911yescharacteristic
1029#448C22×C5911yescharacteristic
1030#448C22×C5911yescharacteristic
1031#448C22×C5911yescharacteristic
1032#446C22×C5911yescharacteristic, complemented
1033#446C22×C5911yescharacteristic, complemented
1034#442C22×C5911yescharacteristic
1035#441C22×C5911yescharacteristic, complemented
1036#441C22×C5911yescharacteristic, complemented
1037#440C22×C5911yescharacteristic
1038#440C22×C5911yescharacteristic
1039#440C22×C5911yescharacteristic
1040#440C22×C5911yescharacteristic
1041#440C22×C5911yescharacteristic, complemented
1042C4×Q16C22×C5911yescharacteristic, complemented
1043C4×SD16C22×C5911yescharacteristic
1044C4×SD16C22×C5911yescharacteristic
1045C4×SD16C22×C5911yescharacteristic
1046#436C22×C5911yescharacteristic
1047#436C22×C5911yescharacteristic, complemented
1048#435C22×C5911yescharacteristic
1049#435C22×C5911yescharacteristic
1050#435C22×C5911yescharacteristic
1051#435C22×C5911yescharacteristic, complemented
1052#433C22×C5911yescharacteristic
1053#433C22×C5911yescharacteristic, complemented
1054#432C22×C5911yescharacteristic, complemented
1055#424C22×C5911yescharacteristic
1056#424C22×C5911yescharacteristic, complemented
1057#423C22×C5911yescharacteristic, complemented
1058#419C22×C5911yescharacteristic
1059#419C22×C5911yescharacteristic, complemented
1060#419C22×C5911yescharacteristic, complemented
1061#417C22×C5911yescharacteristic, complemented
1062#416C22×C5911yescharacteristic
1063C2×#103C22×C5911yescharacteristic, complemented
1064C59#6208011yescharacteristic, direct product factor, Sylow
1065C2×#41C23×C5911yescharacteristic
1066C2×#41C23×C5911yescharacteristic
1067C2×#41C23×C5911yescharacteristic
1068C2×#41C23×C5911yescharacteristic
1069C22×Q8C23×C5911yescharacteristic
1070C22×Q8C23×C5911yescharacteristic
1071C22×Q8C23×C5911yescharacteristic
1072C22×Q8C23×C5911yescharacteristic
1073C22×D4C23×C5911yescharacteristic
1074#137—42no—
1075#137—42no—
1076#137—42no—
1077AGL(1,ℤ/8)—42no—
1078#135—42no—
1079C2×Q16C23×C5911yescharacteristic
1080C2×Q16C23×C5911yescharacteristic
1081C2×Q16C23×C5911yescharacteristic
1082C2×Q16C23×C5911yescharacteristic
1083C2×Q16C23×C5911yescharacteristic
1084C2×Q16C23×C5911yescharacteristic
1085C2×Q16C23×C5911yescharacteristic
1086C2×Q16C23×C5911yescharacteristic
1087C2×Q16C23×C5911yescharacteristic
1088C2×Q16C23×C5911yescharacteristic
1089C2×SD16—42no—
1090C2×SD16C23×C5911yescharacteristic
1091C2×SD16C23×C5911yescharacteristic
1092C2×SD16C23×C5911yescharacteristic
1093C2×SD16C23×C5911yescharacteristic
1094C2×SD16C23×C5911yescharacteristic
1095C2×SD16C23×C5911yescharacteristic
1096C2×SD16C23×C5911yescharacteristic
1097C2×SD16C23×C5911yescharacteristic
1098C2×SD16C23×C5911yescharacteristic
1099C2×SD16C23×C5911yescharacteristic
1100C2×SD16C23×C5911yescharacteristic
1101C2×SD16C23×C5911yescharacteristic
1102C2×D8C23×C5911yescharacteristic
1103C2×D8C23×C5911yescharacteristic
1104C2×M16C23×C5911yescharacteristic
1105C2×M16C23×C5911yescharacteristic
1106C2×M16C23×C5911yescharacteristic
1107C2×M16C23×C5911yescharacteristic
1108C22×C8C23×C5911yescharacteristic
1109C22×C8C23×C5911yescharacteristic
1110C4⋊Q8—21no—
1111C4⋊Q8—21no—
1112C4⋊Q8—21no—
1113C4⋊Q8—21no—
1114C4⋊Q8—21no—
1115C4⋊Q8C23×C5911yescharacteristic
1116C4⋊Q8C23×C5911yescharacteristic
1117C4⋊Q8C23×C5911yescharacteristic
1118C4⋊Q8C23×C5911yescharacteristic
1119C4⋊Q8C23×C5911yescharacteristic
1120C4⋊Q8C23×C5911yescharacteristic
1121C4⋊Q8C23×C5911yescharacteristic
1122C4⋊Q8C23×C5911yescharacteristic
1123#126—21no—
1124#126—21no—
1125#126—21no—
1126#126—21no—
1127#126—21no—
1128#126—21no—
1129#126—21no—
1130#126—21no—
1131#126—21no—
1132#126—21no—
1133#126—21no—
1134#126—21no—
1135#126—21no—
1136#126—21no—
1137#126—21no—
1138#126—21no—
1139#126—21no—
1140#126D4×C5911yescharacteristic
1141#126D4×C5911yescharacteristic
1142#125—21no—
1143#125—21no—
1144#125—21no—
1145#125—21no—
1146#125—21no—
1147#125—21no—
1148#125—21no—
1149#125—21no—
1150#125—21no—
1151#125—21no—
1152#125D4×C5911yescharacteristic
1153#125C23×C5911yescharacteristic
1154#125C23×C5911yescharacteristic
1155#125C23×C5911yescharacteristic
1156#124—21no—
1157#124—21no—
1158#124—21no—
1159#124—21no—
1160#124D4×C5911yescharacteristic
1161#124C23×C5911yescharacteristic
1162#124C23×C5911yescharacteristic
1163#124C23×C5911yescharacteristic
1164#124C23×C5911yescharacteristic
1165#124C23×C5911yescharacteristic
1166#123—21no—
1167#123—21no—
1168#123—21no—
1169#123—21no—
1170#123—21no—
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123D4×C5911yescharacteristic
1182#123D4×C5911yescharacteristic
1183C22⋊Q8—21no—
1184C22⋊Q8—21no—
1185C22⋊Q8—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8D4×C5911yescharacteristic
1202C22⋊Q8C23×C5911yescharacteristic
1203C22⋊Q8C23×C5911yescharacteristic
1204C22⋊Q8C23×C5911yescharacteristic
1205C22⋊Q8C23×C5911yescharacteristic
1206C22⋊Q8C23×C5911yescharacteristic
1207C22⋊Q8C23×C5911yescharacteristic
1208C22⋊Q8C23×C5911yescharacteristic
1209C22⋊Q8C23×C5911yescharacteristic
1210C22⋊Q8C23×C5911yescharacteristic
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121—21no—
1217#121—21no—
1218#121D4×C5911yescharacteristic
1219#121C23×C5911yescharacteristic
1220#121C23×C5911yescharacteristic
1221#121C23×C5911yescharacteristic
1222#120—21no—
1223#120—21no—
1224C4×Q8—21no—
1225C4×Q8—21no—
1226C4×Q8C23×C5911yescharacteristic
1227C4×Q8C23×C5911yescharacteristic
1228C4×Q8C23×C5911yescharacteristic
1229C4×Q8C23×C5911yescharacteristic
1230C4×Q8C23×C5911yescharacteristic
1231C4×Q8C23×C5911yescharacteristic
1232C4×Q8C23×C5911yescharacteristic
1233C4×Q8C23×C5911yescharacteristic
1234C4×Q8C23×C5911yescharacteristic
1235C4×Q8C23×C5911yescharacteristic
1236C4×D4—21no—
1237C4×D4—21no—
1238C4×D4—21no—
1239C4×D4—21no—
1240C4×D4—21no—
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4C23×C5911yescharacteristic
1251C4×D4C23×C5911yescharacteristic
1252C4×D4C23×C5911yescharacteristic
1253C4×D4C23×C5911yescharacteristic
1254C4×D4C23×C5911yescharacteristic
1255C4×D4C23×C5911yescharacteristic
1256C4×D4C23×C5911yescharacteristic
1257C4×D4C23×C5911yescharacteristic
1258C4×D4C23×C5911yescharacteristic
1259C4×D4C23×C5911yescharacteristic
1260#117—21no—
1261#117—21no—
1262#117—21no—
1263#117—21no—
1264#117—21no—
1265#117—21no—
1266#117—21no—
1267#117C23×C5911yescharacteristic
1268#117C23×C5911yescharacteristic
1269#117C23×C5911yescharacteristic
1270#117C23×C5911yescharacteristic
1271C2×C4⋊C4—21no—
1272C2×C4⋊C4—21no—
1273C2×C4⋊C4—21no—
1274C2×C4⋊C4—21no—
1275C2×C4⋊C4—21no—
1276C2×C4⋊C4—21no—
1277C2×C4⋊C4C23×C5911yescharacteristic
1278C2×C22⋊C4—21no—
1279C2×C22⋊C4—21no—
1280C2×C22⋊C4—21no—
1281C2×C22⋊C4—21no—
1282C2×C42—21no—
1283C2×C42C23×C5911yescharacteristic
1284#107C23×C5911yescharacteristic
1285#107C23×C5911yescharacteristic
1286#107C23×C5911yescharacteristic
1287#107C23×C5911yescharacteristic
1288#106C23×C5911yescharacteristic
1289#106C23×C5911yescharacteristic
1290#106C23×C5911yescharacteristic
1291#106C23×C5911yescharacteristic
1292C4⋊C8C23×C5911yescharacteristic
1293C4⋊C8C23×C5911yescharacteristic
1294C4⋊C8C23×C5911yescharacteristic
1295C4⋊C8C23×C5911yescharacteristic
1296C4⋊C8C23×C5911yescharacteristic
1297C4⋊C8C23×C5911yescharacteristic
1298C4⋊C8C23×C5911yescharacteristic
1299C4⋊C8C23×C5911yescharacteristic
1300C4⋊C8C23×C5911yescharacteristic
1301C4⋊C8C23×C5911yescharacteristic
1302#103C23×C5911yescharacteristic
1303#103C23×C5911yescharacteristic
1304#103C23×C5911yescharacteristic
1305#103C23×C5911yescharacteristic
1306#103C23×C5911yescharacteristic
1307#103C23×C5911yescharacteristic
1308#103C23×C5911yescharacteristic
1309#103C23×C5911yescharacteristic
1310#103C23×C5911yescharacteristic
1311#103C23×C5911yescharacteristic
1312#103C23×C5911yescharacteristic
1313#103C23×C5911yescharacteristic
1314#103C23×C5911yescharacteristic
1315#103C23×C5911yescharacteristic
1316#103C23×C5911yescharacteristic
1317#103C23×C5911yescharacteristic
1318#103C23×C5911yescharacteristic
1319#103C23×C5911yescharacteristic
1320#103C23×C5911yescharacteristic
1321#103C23×C5911yescharacteristic
1322#103C23×C5911yescharacteristic
1323#103C23×C5911yescharacteristic
1324#103C23×C5911yescharacteristic
1325#103C23×C5911yescharacteristic
1326#102C23×C5911yescharacteristic
1327#102C23×C5911yescharacteristic
1328#102C23×C5911yescharacteristic
1329#102C23×C5911yescharacteristic
1330#102C23×C5911yescharacteristic
1331#102C23×C5911yescharacteristic
1332#102C23×C5911yescharacteristic
1333#102C23×C5911yescharacteristic
1334C22⋊C8C23×C5911yescharacteristic
1335C22⋊C8C23×C5911yescharacteristic
1336C22⋊C8C23×C5911yescharacteristic
1337C22⋊C8C23×C5911yescharacteristic
1338C22⋊C8C23×C5911yescharacteristic
1339C22⋊C8C23×C5911yescharacteristic
1340#97C23×C5911yescharacteristic
1341#97C23×C5911yescharacteristic
1342#97C23×C5911yescharacteristic
1343#97C23×C5911yescharacteristic
1344C4×C8C23×C5911yescharacteristic
1345C4×C8C23×C5911yescharacteristic
1346C24—21no—
1347#41—22no—
1348#41—22no—
1349#41—41no—
1350#41—41no—
1351#41—41no—
1352#41—41no—
1353#41—41no—
1354#41—41no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—21no—
1358C2×Q8—21no—
1359C2×Q8—21no—
1360C2×Q8—41no—
1361C2×Q8—41no—
1362C2×Q8—41no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×Q8—41no—
1366C2×Q8—41no—
1367C2×Q8—41no—
1368C2×Q8C2×D4×C5911yescharacteristic
1369C2×Q8C24×C5911yescharacteristic
1370C2×Q8C24×C5911yescharacteristic
1371C2×Q8C24×C5911yescharacteristic
1372C2×Q8C24×C5911yescharacteristic
1373C2×Q8C24×C5911yescharacteristic
1374C2×Q8C24×C5911yescharacteristic
1375C2×Q8C24×C5911yescharacteristic
1376C2×D4—22no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—41no—
1386C2×D4C2×D4×C5911yescharacteristic
1387C2×D4C2×D4×C5911yescharacteristic
1388C2×D4C2×D4×C5911yescharacteristic
1389C2×D4C24×C5911yescharacteristic
1390C2×D4C24×C5911yescharacteristic
1391C2×D4C24×C5911yescharacteristic
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4C2×D4×C5911yescharacteristic
1409C22×C4C2×D4×C5911yescharacteristic
1410C22×C4C24×C5911yescharacteristic
1411C22×C4C24×C5911yescharacteristic
1412C22×C4C24×C5911yescharacteristic
1413Q16—41no—
1414Q16—41no—
1415Q16—41no—
1416Q16—41no—
1417Q16—41no—
1418Q16—41no—
1419Q16—41no—
1420Q16—41no—
1421Q16—41no—
1422Q16—41no—
1423SD16—22no—
1424SD16—22no—
1425SD16—22no—
1426SD16—22no—
1427SD16—22no—
1428SD16—41no—
1429SD16—41no—
1430SD16—41no—
1431SD16—41no—
1432SD16—41no—
1433SD16—41no—
1434SD16—41no—
1435D8—22no—
1436D8—41no—
1437M16—41no—
1438M16—41no—
1439M16—41no—
1440M16—41no—
1441C2×C8—41no—
1442C2×C8—41no—
1443C2×C8C24×C5911yescharacteristic
1444C2×C8C24×C5911yescharacteristic
1445C2×C8C24×C5911yescharacteristic
1446C2×C8C24×C5911yescharacteristic
1447C2×C8C24×C5911yescharacteristic
1448C2×C8C24×C5911yescharacteristic
1449C2×C8C24×C5911yescharacteristic
1450C2×C8C24×C5911yescharacteristic
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4C2×D4×C5911yescharacteristic
1492C4⋊C4C2×D4×C5911yescharacteristic
1493C4⋊C4C2×D4×C5911yescharacteristic
1494C4⋊C4C2×D4×C5911yescharacteristic
1495C4⋊C4C2×D4×C5911yescharacteristic
1496C4⋊C4C2×D4×C5911yescharacteristic
1497C4⋊C4C2×D4×C5911yescharacteristic
1498C4⋊C4C2×D4×C5911yescharacteristic
1499C4⋊C4C2×D4×C5911yescharacteristic
1500C4⋊C4C2×D4×C5911yescharacteristic
1501C4⋊C4C24×C5911yescharacteristic
1502C4⋊C4C24×C5911yescharacteristic
1503C4⋊C4C24×C5911yescharacteristic
1504C4⋊C4C24×C5911yescharacteristic
1505C4⋊C4C24×C5911yescharacteristic
1506C4⋊C4C24×C5911yescharacteristic
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4C2×D4×C5911yescharacteristic
1539C22⋊C4C2×D4×C5911yescharacteristic
1540C22⋊C4C2×D4×C5911yescharacteristic
1541C22⋊C4C2×D4×C5911yescharacteristic
1542C22⋊C4C2×D4×C5911yescharacteristic
1543C22⋊C4C2×D4×C5911yescharacteristic
1544C22⋊C4C2×D4×C5911yescharacteristic
1545C22⋊C4C2×D4×C5911yescharacteristic
1546C22⋊C4C2×D4×C5911yescharacteristic
1547C22⋊C4C2×D4×C5911yescharacteristic
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—21no—
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42C2×D4×C5911yescharacteristic
1560C42C2×D4×C5911yescharacteristic
1561C42C24×C5911yescharacteristic
1562C42C24×C5911yescharacteristic
1563C42C24×C5911yescharacteristic
1564C42C24×C5911yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—42no—
1569C23—81no—
1570C23—81no—
1571C23C22×D4×C5911yescharacteristic
1572C23C22×D4×C5911yescharacteristic
1573C23C22×D4×C5911yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—21no—
1588Q8—41no—
1589Q8—81no—
1590Q8—81no—
1591Q8—81no—
1592Q8—81no—
1593Q8—81no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—41no—
1600D4—41no—
1601D4—41no—
1602D4—42no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4H(5,𝔽2)×C5912yes—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—42no—
1633C2×C4—42no—
1634C2×C4—42no—
1635C2×C4—81no—
1636C2×C4—81no—
1637C2×C4—81no—
1638C2×C4—81no—
1639C2×C4—81no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4C22×D4×C5911yescharacteristic
1649C2×C4C22×D4×C5911yescharacteristic
1650C2×C4C22×D4×C5911yescharacteristic
1651C2×C4C22×D4×C5911yescharacteristic
1652C2×C4C22×D4×C5911yescharacteristic
1653C2×C4C22×D4×C5911yescharacteristic
1654C2×C4C22×D4×C5911yescharacteristic
1655C2×C4C22×D4×C5911yescharacteristic
1656C2×C4C22×D4×C5911yescharacteristic
1657C2×C4C22×D4×C5911yescharacteristic
1658C2×C4C22×D4×C5911yescharacteristic
1659C2×C4C25×C5911yescharacteristic
1660C8—21no—
1661C8—21no—
1662C8—21no—
1663C8—21no—
1664C8—21no—
1665C8—21no—
1666C8—21no—
1667C8—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—22no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—162no—
1687C22C23×D4×C5911yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4C2×H(5,𝔽2)×C5911yescharacteristic
1713C4C59×#58511yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—41no—
1717C2—42no—
1718C2—81no—
1719C2—81no—
1720C2C59×#348811yescharacteristic
1721C2C59×#358611yescharacteristic
1722C2C59×#358611yescharacteristic
subgroupG/H
center, socleC22×C59C23×D4
commutator, Frattini, cosocleC2×C4C25×C59
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C59 ◁ C59×#529 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#3552C2semidirect
2. C59×#3521C2semidirect
3. C59×#3402C2semidirect
4. C59×#3398C2semidirect
5. C59×#3376C2semidirect
6. C59×#3372C2semidirect
7. C59×#3328C2semidirect
8. C59×#3326C2semidirect
9. C59×#3320C2semidirect
10. C59×#3315C2semidirect
11. C59×#3313C2semidirect
12. C59×#3312C2semidirect
13. C59×#3276C2semidirect
14. C59×#3275C2semidirect
15. C59×#3269C2semidirect
16. C59×#3267C2semidirect
17. C59×#3266C2semidirect
18. C59×#3266C2semidirect
19. C59×#3261C2semidirect
20. C59×#3258C2semidirect
21. C59×#3256C2semidirect
22. C59×#3225C2semidirect
23. C59×#3223C2semidirect
24. C59×#3218C2semidirect
25. C59×#3123C2semidirect
26. C59×#3120C2semidirect
27. C59×#3111C2semidirect
28. C59×#3046C2semidirect
29. C59×#3042C2semidirect
30. C59×#3039C2semidirect
31. C59×#2995C2semidirect
40. C59×#557C22semidirect
43. C59×#556C22semidirect
55. D4×Q8×C59C22semidirect
57. C59×#548C22semidirect
67. C59×#541C22semidirect
73. C59×#536C22semidirect
74. C2×C4⋊Q8×C59C22semidirect
78. C59×#529C22semidirect
86. C59×#497C22semidirect
88. C59×#494C22semidirect
89. C59×#491C22semidirect
90. C59×#491C22semidirect
91. C59×#491C22semidirect
92. C59×#489C22semidirect
93. C59×#488C22semidirect
94. C59×#487C22semidirect
97. C59×#485C22semidirect
98. C59×#484C22semidirect
99. C59×#483C22semidirect
100. C59×#482C22semidirect
101. C59×#479C22semidirect
102. C59×#479C22semidirect
103. C59×#479C22semidirect
104. C59×#479C22semidirect
105. C59×#479C22semidirect
108. C59×#478C22semidirect
109. C59×#477C22semidirect
110. C59×#475C22semidirect
113. C59×#470C22semidirect
114. C59×#470C22semidirect
118. C59×#468C22semidirect
121. C59×#467C22semidirect
126. C59×#464C22semidirect
127. C59×#464C22semidirect
128. C59×#464C22semidirect
135. C59×#462C22semidirect
136. C59×#462C22semidirect
137. C59×#462C22semidirect
138. C59×#462C22semidirect
139. C59×#462C22semidirect
140. C59×#462C22semidirect
141. C59×#462C22semidirect
142. C59×#462C22semidirect
143. C59×#462C22semidirect
158. C59×#452C22semidirect
161. C59×#451C22semidirect
162. C59×#451C22semidirect
163. C59×#451C22semidirect
171. C59×#446C22semidirect
172. C59×#446C22semidirect
174. C59×#441C22semidirect
175. C59×#441C22semidirect
180. C59×#440C22semidirect
181. C4×Q16×C59C22semidirect
186. C59×#436C22semidirect
190. C59×#435C22semidirect
192. C59×#433C22semidirect
193. C59×#432C22semidirect
195. C59×#424C22semidirect
196. C59×#423C22semidirect
198. C59×#419C22semidirect
199. C59×#419C22semidirect
200. C59×#417C22semidirect
202. C2×#103×C59C22semidirect
806. #62080C59direct (N × H)
853. #3552C2×C59semidirect
854. #3521C2×C59semidirect
855. #3402C2×C59semidirect
856. #3398C2×C59semidirect
857. #3376C2×C59semidirect
858. #3372C2×C59semidirect
859. #3328C2×C59semidirect
860. #3326C2×C59semidirect
861. #3320C2×C59semidirect
862. #3315C2×C59semidirect
863. #3313C2×C59semidirect
864. #3312C2×C59semidirect
865. #3276C2×C59semidirect
866. #3275C2×C59semidirect
867. #3269C2×C59semidirect
868. #3267C2×C59semidirect
869. #3266C2×C59semidirect
870. #3266C2×C59semidirect
871. #3261C2×C59semidirect
872. #3258C2×C59semidirect
873. #3256C2×C59semidirect
874. #3225C2×C59semidirect
875. #3223C2×C59semidirect
876. #3218C2×C59semidirect
877. #3123C2×C59semidirect
878. #3120C2×C59semidirect
879. #3111C2×C59semidirect
880. #3046C2×C59semidirect
881. #3042C2×C59semidirect
882. #3039C2×C59semidirect
883. #2995C2×C59semidirect
901. #557C22×C59semidirect
904. #556C22×C59semidirect
916. D4×Q8C22×C59semidirect
918. #548C22×C59semidirect
928. #541C22×C59semidirect
934. #536C22×C59semidirect
935. C2×C4⋊Q8C22×C59semidirect
939. #529C22×C59semidirect
947. #497C22×C59semidirect
949. #494C22×C59semidirect
950. #491C22×C59semidirect
951. #491C22×C59semidirect
952. #491C22×C59semidirect
953. #489C22×C59semidirect
954. #488C22×C59semidirect
955. #487C22×C59semidirect
958. #485C22×C59semidirect
959. #484C22×C59semidirect
960. #483C22×C59semidirect
961. #482C22×C59semidirect
962. #479C22×C59semidirect
963. #479C22×C59semidirect
964. #479C22×C59semidirect
965. #479C22×C59semidirect
966. #479C22×C59semidirect
969. #478C22×C59semidirect
970. #477C22×C59semidirect
971. #475C22×C59semidirect
974. #470C22×C59semidirect
975. #470C22×C59semidirect
979. #468C22×C59semidirect
982. #467C22×C59semidirect
987. #464C22×C59semidirect
988. #464C22×C59semidirect
989. #464C22×C59semidirect
996. #462C22×C59semidirect
997. #462C22×C59semidirect
998. #462C22×C59semidirect
999. #462C22×C59semidirect
1000. #462C22×C59semidirect
1001. #462C22×C59semidirect
1002. #462C22×C59semidirect
1003. #462C22×C59semidirect
1004. #462C22×C59semidirect
1019. #452C22×C59semidirect
1022. #451C22×C59semidirect
1023. #451C22×C59semidirect
1024. #451C22×C59semidirect
1032. #446C22×C59semidirect
1033. #446C22×C59semidirect
1035. #441C22×C59semidirect
1036. #441C22×C59semidirect
1041. #440C22×C59semidirect
1042. C4×Q16C22×C59semidirect
1047. #436C22×C59semidirect
1051. #435C22×C59semidirect
1053. #433C22×C59semidirect
1054. #432C22×C59semidirect
1056. #424C22×C59semidirect
1057. #423C22×C59semidirect
1059. #419C22×C59semidirect
1060. #419C22×C59semidirect
1061. #417C22×C59semidirect
1063. C2×#103C22×C59semidirect
1064. C59#62080direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#35522
C59×#35212
C59×#34022
C59×#33982
C59×#33762
C59×#33722
C59×#33282
C59×#33262
C59×#33202
C59×#33152
C59×#33132
C59×#33122
C59×#32762
C59×#32752
C59×#32692
C59×#32672
C59×#32662
C59×#32612
C59×#32582
C59×#32562
C59×#32252
C59×#32232
C59×#32182
C59×#31232
C59×#31202
C59×#31112
C59×#30462
C59×#30422
C59×#30392
C59×#29952
#6208059