Finite Group Databasebeta

← C59×#62077 #28474186

Subgroups — C59×#62077 #28474186

Order 15104.

1776 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×#3562C211yesmaximal, characteristic
2C59×#3523C211yesmaximal, characteristic, complemented
3C59×#3400C211yesmaximal, characteristic, complemented
4C59×#3398C211yesmaximal, characteristic, complemented
5C59×#3377C211yesmaximal, characteristic, complemented
6C59×#3371C211yesmaximal, characteristic, complemented
7C59×#3327C211yesmaximal, characteristic, complemented
8C59×#3323C211yesmaximal, characteristic, complemented
9C59×#3317C211yesmaximal, characteristic, complemented
10C59×#3315C211yesmaximal, characteristic, complemented
11C59×#3313C211yesmaximal, characteristic, complemented
12C59×#3311C211yesmaximal, characteristic, complemented
13C59×#3278C211yesmaximal, characteristic, complemented
14C59×#3276C211yesmaximal, characteristic, complemented
15C59×#3270C211yesmaximal, characteristic, complemented
16C59×#3270C211yesmaximal, characteristic, complemented
17C59×#3266C211yesmaximal, characteristic, complemented
18C59×#3266C211yesmaximal, characteristic, complemented
19C59×#3261C211yesmaximal, characteristic, complemented
20C59×#3260C211yesmaximal, characteristic, complemented
21C59×#3252C211yesmaximal, characteristic, complemented
22C59×#3223C211yesmaximal, characteristic, complemented
23C59×#3222C211yesmaximal, characteristic, complemented
24C59×#3216C211yesmaximal, characteristic, complemented
25C59×#3127C211yesmaximal, characteristic, complemented
26C59×#3126C211yesmaximal, characteristic, complemented
27C59×#3117C211yesmaximal, characteristic, complemented
28C59×#3044C211yesmaximal, characteristic, complemented
29C59×#3043C211yesmaximal, characteristic, complemented
30C59×#3037C211yesmaximal, characteristic, complemented
31C59×#2995C211yesmaximal, characteristic, complemented
32C2×#137×C59C2211yescharacteristic
33C2×#137×C59C2211yescharacteristic
34C2×#137×C59C2211yescharacteristic
35C2×#137×C59C2211yescharacteristic, complemented
36C22×Q16×C59C2211yescharacteristic, complemented
37C22×SD16×C59C2211yescharacteristic
38C59×#562—21no—
39C59×#560—21no—
40C59×#559C2211yescharacteristic
41C59×#557—21no—
42C59×#557C2211yescharacteristic, complemented
43C59×#557C2211yescharacteristic, complemented
44C59×#556—21no—
45C59×#556C2211yescharacteristic
46C59×#556C2211yescharacteristic
47C59×#553—21no—
48C59×#552—21no—
49C59×#552—21no—
50C59×#552C2211yescharacteristic
51C59×#552C2211yescharacteristic, complemented
52C59×#551—21no—
53C59×#550C2211yescharacteristic
54D4×Q8×C59C2211yescharacteristic
55D4×Q8×C59C2211yescharacteristic
56D4×Q8×C59C2211yescharacteristic, complemented
57C59×#548C2211yescharacteristic
58C59×#548C2211yescharacteristic
59C59×#547C2211yescharacteristic
60C59×#546C2211yescharacteristic
61C59×#546C2211yescharacteristic
62C59×#541—21no—
63C59×#541—21no—
64C59×#541C2211yescharacteristic
65C59×#541C2211yescharacteristic
66C59×#541C2211yescharacteristic, complemented
67C59×#540—21no—
68C59×#540C2211yescharacteristic
69C59×#539—21no—
70C59×#538—21no—
71C59×#538—21no—
72C59×#536C2211yescharacteristic
73C59×#535C2211yescharacteristic
74C59×#533—21no—
75C59×#533C2211yescharacteristic, complemented
76C59×#532C2211yescharacteristic
77C59×#529—21no—
78C59×#529C2211yescharacteristic
79C59×#529C2211yescharacteristic
80C59×#519C2211yescharacteristic
81C59×#519C2211yescharacteristic, complemented
82C2×C4×Q8×C59C2211yescharacteristic, complemented
83C59×#497C2211yescharacteristic
84C59×#497C2211yescharacteristic
85C59×#497C2211yescharacteristic
86C59×#497C2211yescharacteristic, complemented
87C59×#494C2211yescharacteristic, complemented
88C59×#492C2211yescharacteristic
89C59×#491C2211yescharacteristic, complemented
90C59×#490C2211yescharacteristic
91C59×#489C2211yescharacteristic
92C59×#489C2211yescharacteristic, complemented
93C59×#488C2211yescharacteristic
94C59×#488C2211yescharacteristic
95C59×#485C2211yescharacteristic
96C59×#485C2211yescharacteristic
97C59×#484C2211yescharacteristic, complemented
98C59×#482C2211yescharacteristic
99C59×#482C2211yescharacteristic, complemented
100C59×#481C2211yescharacteristic
101C59×#479C2211yescharacteristic, complemented
102C59×#479C2211yescharacteristic, complemented
103C59×#479C2211yescharacteristic, complemented
104C59×#479C2211yescharacteristic, complemented
105C59×#479C2211yescharacteristic, complemented
106C59×#479C2211yescharacteristic, complemented
107C59×#478C2211yescharacteristic
108C59×#478C2211yescharacteristic, complemented
109C59×#477C2211yescharacteristic, complemented
110C59×#476C2211yescharacteristic
111C59×#470C2211yescharacteristic
112C59×#470C2211yescharacteristic
113C59×#470C2211yescharacteristic, complemented
114C59×#470C2211yescharacteristic, complemented
115C59×#468C2211yescharacteristic
116C59×#468C2211yescharacteristic
117C59×#468C2211yescharacteristic
118C59×#468C2211yescharacteristic, complemented
119C59×#467C2211yescharacteristic
120C59×#467C2211yescharacteristic
121C59×#465C2211yescharacteristic
122C59×#465C2211yescharacteristic, complemented
123C59×#464C2211yescharacteristic
124C59×#464C2211yescharacteristic
125C59×#464C2211yescharacteristic
126C59×#464C2211yescharacteristic
127C59×#464C2211yescharacteristic
128C59×#464C2211yescharacteristic
129C59×#464C2211yescharacteristic
130C59×#464C2211yescharacteristic
131C59×#464C2211yescharacteristic
132C59×#464C2211yescharacteristic
133C59×#464C2211yescharacteristic, complemented
134C59×#464C2211yescharacteristic, complemented
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, complemented
147C59×#460C2211yescharacteristic
148C59×#460C2211yescharacteristic
149C59×#460C2211yescharacteristic
150C59×#460C2211yescharacteristic
151C59×#460C2211yescharacteristic
152C59×#460C2211yescharacteristic
153C59×#452C2211yescharacteristic
154C59×#452C2211yescharacteristic
155C59×#452C2211yescharacteristic
156C59×#452C2211yescharacteristic
157C59×#452C2211yescharacteristic
158C59×#452C2211yescharacteristic
159C59×#452C2211yescharacteristic, complemented
160C59×#452C2211yescharacteristic, complemented
161C59×#451C2211yescharacteristic
162C59×#451C2211yescharacteristic
163C59×#451C2211yescharacteristic, complemented
164C59×#451C2211yescharacteristic, complemented
165C59×#451C2211yescharacteristic, complemented
166C59×#450C2211yescharacteristic
167C59×#450C2211yescharacteristic
168C59×#448C2211yescharacteristic
169C59×#448C2211yescharacteristic
170C59×#448C2211yescharacteristic, complemented
171C59×#446C2211yescharacteristic, complemented
172C59×#446C2211yescharacteristic, complemented
173C59×#441C2211yescharacteristic, complemented
174C59×#441C2211yescharacteristic, complemented
175C59×#441C2211yescharacteristic, complemented
176C59×#441C2211yescharacteristic, complemented
177C59×#440C2211yescharacteristic
178C59×#440C2211yescharacteristic
179C59×#440C2211yescharacteristic
180C59×#440C2211yescharacteristic, complemented
181C4×Q16×C59C2211yescharacteristic, complemented
182C4×Q16×C59C2211yescharacteristic, complemented
183C4×SD16×C59C2211yescharacteristic
184C4×SD16×C59C2211yescharacteristic, complemented
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, complemented
198C59×#418C2211yescharacteristic
199C59×#417C2211yescharacteristic
200C59×#417C2211yescharacteristic, complemented
201C59×#416C2211yescharacteristic
202C59×#416C2211yescharacteristic
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—
215#137×C59—42no—
216C2×Q16×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×Q16×C59C2311yescharacteristic
228C2×Q16×C59C2311yescharacteristic
229C2×SD16×C59—42no—
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×SD16×C59C2311yescharacteristic
241C2×SD16×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×C59C2311yescharacteristic
253C4⋊Q8×C59C2311yescharacteristic
254C4⋊Q8×C59C2311yescharacteristic
255C4⋊Q8×C59C2311yescharacteristic
256C4⋊Q8×C59C2311yescharacteristic
257C4⋊Q8×C59C2311yescharacteristic
258#127×C59—21no—
259#127×C59C2311yescharacteristic
260#127×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×C59D411yescharacteristic
275#126×C59D411yescharacteristic
276#125×C59—21no—
277#125×C59—21no—
278#125×C59—21no—
279#125×C59—21no—
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×C59D411yescharacteristic
318#123×C59D411yescharacteristic
319C22⋊Q8×C59—21no—
320C22⋊Q8×C59—21no—
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×C59D411yescharacteristic
332C22⋊Q8×C59C2311yescharacteristic
333C22⋊Q8×C59C2311yescharacteristic
334C22⋊Q8×C59C2311yescharacteristic
335C22⋊Q8×C59C2311yescharacteristic
336C22⋊Q8×C59C2311yescharacteristic
337C22⋊Q8×C59C2311yescharacteristic
338C22⋊Q8×C59C2311yescharacteristic
339C22⋊Q8×C59C2311yescharacteristic
340C22⋊Q8×C59C2311yescharacteristic
341#121×C59—21no—
342#121×C59—21no—
343#121×C59—21no—
344#121×C59—21no—
345#121×C59—21no—
346#121×C59—21no—
347#121×C59—21no—
348#121×C59—21no—
349#121×C59—21no—
350#121×C59—21no—
351#121×C59—21no—
352#121×C59—21no—
353#121×C59—21no—
354#121×C59D411yescharacteristic
355#121×C59C2311yescharacteristic
356#121×C59C2311yescharacteristic
357#121×C59C2311yescharacteristic
358#120×C59—21no—
359#120×C59—21no—
360#120×C59—21no—
361#120×C59—21no—
362C4×Q8×C59—21no—
363C4×Q8×C59—21no—
364C4×Q8×C59—21no—
365C4×Q8×C59—21no—
366C4×Q8×C59—21no—
367C4×Q8×C59—21no—
368C4×Q8×C59—21no—
369C4×Q8×C59—21no—
370C4×Q8×C59—21no—
371C4×Q8×C59—21no—
372C4×Q8×C59C2311yescharacteristic
373C4×Q8×C59C2311yescharacteristic
374C4×Q8×C59C2311yescharacteristic
375C4×Q8×C59C2311yescharacteristic
376C4×Q8×C59C2311yescharacteristic
377C4×Q8×C59C2311yescharacteristic
378C4×Q8×C59C2311yescharacteristic
379C4×Q8×C59C2311yescharacteristic
380C4×Q8×C59C2311yescharacteristic
381C4×Q8×C59C2311yescharacteristic
382C4×Q8×C59C2311yescharacteristic
383C4×Q8×C59C2311yescharacteristic
384C4×Q8×C59C2311yescharacteristic
385C4×Q8×C59C2311yescharacteristic
386C4×D4×C59—21no—
387C4×D4×C59—21no—
388C4×D4×C59—21no—
389C4×D4×C59—21no—
390C4×D4×C59—21no—
391C4×D4×C59—21no—
392C4×D4×C59—21no—
393C4×D4×C59—21no—
394C4×D4×C59—21no—
395C4×D4×C59—21no—
396C4×D4×C59C2311yescharacteristic
397C4×D4×C59C2311yescharacteristic
398C4×D4×C59C2311yescharacteristic
399C4×D4×C59C2311yescharacteristic
400C4×D4×C59C2311yescharacteristic
401C4×D4×C59C2311yescharacteristic
402#117×C59—21no—
403#117×C59—21no—
404#117×C59—21no—
405#117×C59—21no—
406#117×C59—21no—
407#117×C59—21no—
408#117×C59—21no—
409#117×C59—21no—
410#117×C59—21no—
411#117×C59C2311yescharacteristic
412#117×C59C2311yescharacteristic
413#117×C59C2311yescharacteristic
414#117×C59C2311yescharacteristic
415C2×C4⋊C4×C59—21no—
416C2×C4⋊C4×C59—21no—
417C2×C4⋊C4×C59C2311yescharacteristic
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#102×C59C2311yescharacteristic
461#102×C59C2311yescharacteristic
462#102×C59C2311yescharacteristic
463#102×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—41no—
486#41×C59—41no—
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—22no—
499C2×Q8×C59—22no—
500C2×Q8×C59—22no—
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—21no—
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—21no—
524C2×D4×C59—21no—
525C2×D4×C59—21no—
526C2×D4×C59—41no—
527C2×D4×C59—41no—
528C2×D4×C59C2×D411yescharacteristic
529C2×D4×C59C2×D411yescharacteristic
530C2×D4×C59C2×D411yescharacteristic
531C2×D4×C59C2411yescharacteristic
532C2×D4×C59C2411yescharacteristic
533C2×D4×C59C2411yescharacteristic
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—22no—
552Q16×C59—22no—
553Q16×C59—22no—
554Q16×C59—41no—
555Q16×C59—41no—
556Q16×C59—41no—
557Q16×C59—41no—
558Q16×C59—41no—
559Q16×C59—41no—
560Q16×C59—41no—
561Q16×C59—41no—
562Q16×C59—41no—
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—
573SD16×C59—41no—
574SD16×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×C59C2×D411yescharacteristic
673C22⋊C4×C59C2×D411yescharacteristic
674C22⋊C4×C59C2×D411yescharacteristic
675C22⋊C4×C59C2×D411yescharacteristic
676C22⋊C4×C59C2×D411yescharacteristic
677C22⋊C4×C59C2×D411yescharacteristic
678C22⋊C4×C59C2×D411yescharacteristic
679C22⋊C4×C59C2×D411yescharacteristic
680C22⋊C4×C59C2×D411yescharacteristic
681C22⋊C4×C59C2×D411yescharacteristic
682C42×C59—21no—
683C42×C59—21no—
684C42×C59—21no—
685C42×C59—21no—
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—81no—
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—41no—
726Q8×C59—42no—
727Q8×C59—42no—
728Q8×C59—42no—
729Q8×C59—42no—
730Q8×C59—81no—
731Q8×C59H(5,𝔽2)12yes—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—41no—
739D4×C59—41no—
740D4×C59—41no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59—81no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
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—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—41no—
773C2×C4×C59—41no—
774C2×C4×C59—42no—
775C2×C4×C59—42no—
776C2×C4×C59—42no—
777C2×C4×C59—42no—
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#62077C5911yesmaximal, 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—41no—
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—22no—
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#3562C2×C5911yescharacteristic
854#3523C2×C5911yescharacteristic, complemented
855#3400C2×C5911yescharacteristic, complemented
856#3398C2×C5911yescharacteristic, complemented
857#3377C2×C5911yescharacteristic, complemented
858#3371C2×C5911yescharacteristic, complemented
859#3327C2×C5911yescharacteristic, complemented
860#3323C2×C5911yescharacteristic, complemented
861#3317C2×C5911yescharacteristic, complemented
862#3315C2×C5911yescharacteristic, complemented
863#3313C2×C5911yescharacteristic, complemented
864#3311C2×C5911yescharacteristic, complemented
865#3278C2×C5911yescharacteristic, complemented
866#3276C2×C5911yescharacteristic, complemented
867#3270C2×C5911yescharacteristic, complemented
868#3270C2×C5911yescharacteristic, complemented
869#3266C2×C5911yescharacteristic, complemented
870#3266C2×C5911yescharacteristic, complemented
871#3261C2×C5911yescharacteristic, complemented
872#3260C2×C5911yescharacteristic, complemented
873#3252C2×C5911yescharacteristic, complemented
874#3223C2×C5911yescharacteristic, complemented
875#3222C2×C5911yescharacteristic, complemented
876#3216C2×C5911yescharacteristic, complemented
877#3127C2×C5911yescharacteristic, complemented
878#3126C2×C5911yescharacteristic, complemented
879#3117C2×C5911yescharacteristic, complemented
880#3044C2×C5911yescharacteristic, complemented
881#3043C2×C5911yescharacteristic, complemented
882#3037C2×C5911yescharacteristic, complemented
883#2995C2×C5911yescharacteristic, complemented
884C2×C59—41no—
885C2×C59—41no—
886C2×C59—41no—
887C2×C59—81no—
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×#137C22×C5911yescharacteristic, complemented
897C22×Q16C22×C5911yescharacteristic, complemented
898C22×SD16C22×C5911yescharacteristic
899#562—21no—
900#560—21no—
901#559C22×C5911yescharacteristic
902#557—21no—
903#557C22×C5911yescharacteristic, complemented
904#557C22×C5911yescharacteristic, complemented
905#556—21no—
906#556C22×C5911yescharacteristic
907#556C22×C5911yescharacteristic
908#553—21no—
909#552—21no—
910#552—21no—
911#552C22×C5911yescharacteristic
912#552C22×C5911yescharacteristic, complemented
913#551—21no—
914#550C22×C5911yescharacteristic
915D4×Q8C22×C5911yescharacteristic
916D4×Q8C22×C5911yescharacteristic
917D4×Q8C22×C5911yescharacteristic, complemented
918#548C22×C5911yescharacteristic
919#548C22×C5911yescharacteristic
920#547C22×C5911yescharacteristic
921#546C22×C5911yescharacteristic
922#546C22×C5911yescharacteristic
923#541—21no—
924#541—21no—
925#541C22×C5911yescharacteristic
926#541C22×C5911yescharacteristic
927#541C22×C5911yescharacteristic, complemented
928#540—21no—
929#540C22×C5911yescharacteristic
930#539—21no—
931#538—21no—
932#538—21no—
933#536C22×C5911yescharacteristic
934#535C22×C5911yescharacteristic
935#533—21no—
936#533C22×C5911yescharacteristic, complemented
937#532C22×C5911yescharacteristic
938#529—21no—
939#529C22×C5911yescharacteristic
940#529C22×C5911yescharacteristic
941#519C22×C5911yescharacteristic
942#519C22×C5911yescharacteristic, complemented
943C2×C4×Q8C22×C5911yescharacteristic, complemented
944#497C22×C5911yescharacteristic
945#497C22×C5911yescharacteristic
946#497C22×C5911yescharacteristic
947#497C22×C5911yescharacteristic, complemented
948#494C22×C5911yescharacteristic, complemented
949#492C22×C5911yescharacteristic
950#491C22×C5911yescharacteristic, complemented
951#490C22×C5911yescharacteristic
952#489C22×C5911yescharacteristic
953#489C22×C5911yescharacteristic, complemented
954#488C22×C5911yescharacteristic
955#488C22×C5911yescharacteristic
956#485C22×C5911yescharacteristic
957#485C22×C5911yescharacteristic
958#484C22×C5911yescharacteristic, complemented
959#482C22×C5911yescharacteristic
960#482C22×C5911yescharacteristic, complemented
961#481C22×C5911yescharacteristic
962#479C22×C5911yescharacteristic, complemented
963#479C22×C5911yescharacteristic, complemented
964#479C22×C5911yescharacteristic, complemented
965#479C22×C5911yescharacteristic, complemented
966#479C22×C5911yescharacteristic, complemented
967#479C22×C5911yescharacteristic, complemented
968#478C22×C5911yescharacteristic
969#478C22×C5911yescharacteristic, complemented
970#477C22×C5911yescharacteristic, complemented
971#476C22×C5911yescharacteristic
972#470C22×C5911yescharacteristic
973#470C22×C5911yescharacteristic
974#470C22×C5911yescharacteristic, complemented
975#470C22×C5911yescharacteristic, complemented
976#468C22×C5911yescharacteristic
977#468C22×C5911yescharacteristic
978#468C22×C5911yescharacteristic
979#468C22×C5911yescharacteristic, complemented
980#467C22×C5911yescharacteristic
981#467C22×C5911yescharacteristic
982#465C22×C5911yescharacteristic
983#465C22×C5911yescharacteristic, complemented
984#464C22×C5911yescharacteristic
985#464C22×C5911yescharacteristic
986#464C22×C5911yescharacteristic
987#464C22×C5911yescharacteristic
988#464C22×C5911yescharacteristic
989#464C22×C5911yescharacteristic
990#464C22×C5911yescharacteristic
991#464C22×C5911yescharacteristic
992#464C22×C5911yescharacteristic
993#464C22×C5911yescharacteristic
994#464C22×C5911yescharacteristic, complemented
995#464C22×C5911yescharacteristic, complemented
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, complemented
1008#460C22×C5911yescharacteristic
1009#460C22×C5911yescharacteristic
1010#460C22×C5911yescharacteristic
1011#460C22×C5911yescharacteristic
1012#460C22×C5911yescharacteristic
1013#460C22×C5911yescharacteristic
1014#452C22×C5911yescharacteristic
1015#452C22×C5911yescharacteristic
1016#452C22×C5911yescharacteristic
1017#452C22×C5911yescharacteristic
1018#452C22×C5911yescharacteristic
1019#452C22×C5911yescharacteristic
1020#452C22×C5911yescharacteristic, complemented
1021#452C22×C5911yescharacteristic, complemented
1022#451C22×C5911yescharacteristic
1023#451C22×C5911yescharacteristic
1024#451C22×C5911yescharacteristic, complemented
1025#451C22×C5911yescharacteristic, complemented
1026#451C22×C5911yescharacteristic, complemented
1027#450C22×C5911yescharacteristic
1028#450C22×C5911yescharacteristic
1029#448C22×C5911yescharacteristic
1030#448C22×C5911yescharacteristic
1031#448C22×C5911yescharacteristic, complemented
1032#446C22×C5911yescharacteristic, complemented
1033#446C22×C5911yescharacteristic, complemented
1034#441C22×C5911yescharacteristic, complemented
1035#441C22×C5911yescharacteristic, complemented
1036#441C22×C5911yescharacteristic, complemented
1037#441C22×C5911yescharacteristic, complemented
1038#440C22×C5911yescharacteristic
1039#440C22×C5911yescharacteristic
1040#440C22×C5911yescharacteristic
1041#440C22×C5911yescharacteristic, complemented
1042C4×Q16C22×C5911yescharacteristic, complemented
1043C4×Q16C22×C5911yescharacteristic, complemented
1044C4×SD16C22×C5911yescharacteristic
1045C4×SD16C22×C5911yescharacteristic, complemented
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, complemented
1059#418C22×C5911yescharacteristic
1060#417C22×C5911yescharacteristic
1061#417C22×C5911yescharacteristic, complemented
1062#416C22×C5911yescharacteristic
1063#416C22×C5911yescharacteristic
1064C59#6207711yescharacteristic, 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—
1077#137—42no—
1078C2×Q16—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×Q16C23×C5911yescharacteristic
1090C2×Q16C23×C5911yescharacteristic
1091C2×SD16—42no—
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×SD16C23×C5911yescharacteristic
1103C2×SD16C23×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⋊Q8C23×C5911yescharacteristic
1115C4⋊Q8C23×C5911yescharacteristic
1116C4⋊Q8C23×C5911yescharacteristic
1117C4⋊Q8C23×C5911yescharacteristic
1118C4⋊Q8C23×C5911yescharacteristic
1119C4⋊Q8C23×C5911yescharacteristic
1120#127—21no—
1121#127C23×C5911yescharacteristic
1122#127C23×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#126D4×C5911yescharacteristic
1137#126D4×C5911yescharacteristic
1138#125—21no—
1139#125—21no—
1140#125—21no—
1141#125—21no—
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#123D4×C5911yescharacteristic
1180#123D4×C5911yescharacteristic
1181C22⋊Q8—21no—
1182C22⋊Q8—21no—
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⋊Q8D4×C5911yescharacteristic
1194C22⋊Q8C23×C5911yescharacteristic
1195C22⋊Q8C23×C5911yescharacteristic
1196C22⋊Q8C23×C5911yescharacteristic
1197C22⋊Q8C23×C5911yescharacteristic
1198C22⋊Q8C23×C5911yescharacteristic
1199C22⋊Q8C23×C5911yescharacteristic
1200C22⋊Q8C23×C5911yescharacteristic
1201C22⋊Q8C23×C5911yescharacteristic
1202C22⋊Q8C23×C5911yescharacteristic
1203#121—21no—
1204#121—21no—
1205#121—21no—
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121—21no—
1215#121—21no—
1216#121D4×C5911yescharacteristic
1217#121C23×C5911yescharacteristic
1218#121C23×C5911yescharacteristic
1219#121C23×C5911yescharacteristic
1220#120—21no—
1221#120—21no—
1222#120—21no—
1223#120—21no—
1224C4×Q8—21no—
1225C4×Q8—21no—
1226C4×Q8—21no—
1227C4×Q8—21no—
1228C4×Q8—21no—
1229C4×Q8—21no—
1230C4×Q8—21no—
1231C4×Q8—21no—
1232C4×Q8—21no—
1233C4×Q8—21no—
1234C4×Q8C23×C5911yescharacteristic
1235C4×Q8C23×C5911yescharacteristic
1236C4×Q8C23×C5911yescharacteristic
1237C4×Q8C23×C5911yescharacteristic
1238C4×Q8C23×C5911yescharacteristic
1239C4×Q8C23×C5911yescharacteristic
1240C4×Q8C23×C5911yescharacteristic
1241C4×Q8C23×C5911yescharacteristic
1242C4×Q8C23×C5911yescharacteristic
1243C4×Q8C23×C5911yescharacteristic
1244C4×Q8C23×C5911yescharacteristic
1245C4×Q8C23×C5911yescharacteristic
1246C4×Q8C23×C5911yescharacteristic
1247C4×Q8C23×C5911yescharacteristic
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4C23×C5911yescharacteristic
1259C4×D4C23×C5911yescharacteristic
1260C4×D4C23×C5911yescharacteristic
1261C4×D4C23×C5911yescharacteristic
1262C4×D4C23×C5911yescharacteristic
1263C4×D4C23×C5911yescharacteristic
1264#117—21no—
1265#117—21no—
1266#117—21no—
1267#117—21no—
1268#117—21no—
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117C23×C5911yescharacteristic
1274#117C23×C5911yescharacteristic
1275#117C23×C5911yescharacteristic
1276#117C23×C5911yescharacteristic
1277C2×C4⋊C4—21no—
1278C2×C4⋊C4—21no—
1279C2×C4⋊C4C23×C5911yescharacteristic
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#102C23×C5911yescharacteristic
1323#102C23×C5911yescharacteristic
1324#102C23×C5911yescharacteristic
1325#102C23×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—41no—
1348#41—41no—
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—22no—
1361C2×Q8—22no—
1362C2×Q8—22no—
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—21no—
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—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4C2×D4×C5911yescharacteristic
1391C2×D4C2×D4×C5911yescharacteristic
1392C2×D4C2×D4×C5911yescharacteristic
1393C2×D4C24×C5911yescharacteristic
1394C2×D4C24×C5911yescharacteristic
1395C2×D4C24×C5911yescharacteristic
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—22no—
1414Q16—22no—
1415Q16—22no—
1416Q16—41no—
1417Q16—41no—
1418Q16—41no—
1419Q16—41no—
1420Q16—41no—
1421Q16—41no—
1422Q16—41no—
1423Q16—41no—
1424Q16—41no—
1425SD16—22no—
1426SD16—22no—
1427SD16—22no—
1428SD16—41no—
1429SD16—41no—
1430SD16—41no—
1431SD16—41no—
1432SD16—41no—
1433SD16—41no—
1434SD16—41no—
1435SD16—41no—
1436SD16—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⋊C4C2×D4×C5911yescharacteristic
1535C22⋊C4C2×D4×C5911yescharacteristic
1536C22⋊C4C2×D4×C5911yescharacteristic
1537C22⋊C4C2×D4×C5911yescharacteristic
1538C22⋊C4C2×D4×C5911yescharacteristic
1539C22⋊C4C2×D4×C5911yescharacteristic
1540C22⋊C4C2×D4×C5911yescharacteristic
1541C22⋊C4C2×D4×C5911yescharacteristic
1542C22⋊C4C2×D4×C5911yescharacteristic
1543C22⋊C4C2×D4×C5911yescharacteristic
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
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—81no—
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—41no—
1588Q8—42no—
1589Q8—42no—
1590Q8—42no—
1591Q8—42no—
1592Q8—81no—
1593Q8H(5,𝔽2)×C5912yes—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—41no—
1602D4—41no—
1603D4—81no—
1604D4—81no—
1605D4—81no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—81no—
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—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—42no—
1637C2×C4—42no—
1638C2×C4—42no—
1639C2×C4—42no—
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—41no—
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—22no—
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—81no—
1718C2—81no—
1719C2—81no—
1720C2C59×#348811yescharacteristic
1721C2C59×#358611yescharacteristic
1722C2C59×#358611yescharacteristic
subgroupG/H
center, socleC22×C59C23×D4
commutator, Frattini, cosocleC2×C4C25×C59
prime radicalC59×#3562C2
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
2. C59×#3523C2semidirect
3. C59×#3400C2semidirect
4. C59×#3398C2semidirect
5. C59×#3377C2semidirect
6. C59×#3371C2semidirect
7. C59×#3327C2semidirect
8. C59×#3323C2semidirect
9. C59×#3317C2semidirect
10. C59×#3315C2semidirect
11. C59×#3313C2semidirect
12. C59×#3311C2semidirect
13. C59×#3278C2semidirect
14. C59×#3276C2semidirect
15. C59×#3270C2semidirect
16. C59×#3270C2semidirect
17. C59×#3266C2semidirect
18. C59×#3266C2semidirect
19. C59×#3261C2semidirect
20. C59×#3260C2semidirect
21. C59×#3252C2semidirect
22. C59×#3223C2semidirect
23. C59×#3222C2semidirect
24. C59×#3216C2semidirect
25. C59×#3127C2semidirect
26. C59×#3126C2semidirect
27. C59×#3117C2semidirect
28. C59×#3044C2semidirect
29. C59×#3043C2semidirect
30. C59×#3037C2semidirect
31. C59×#2995C2semidirect
35. C2×#137×C59C22semidirect
36. C22×Q16×C59C22semidirect
42. C59×#557C22semidirect
43. C59×#557C22semidirect
51. C59×#552C22semidirect
56. D4×Q8×C59C22semidirect
66. C59×#541C22semidirect
75. C59×#533C22semidirect
81. C59×#519C22semidirect
82. C2×C4×Q8×C59C22semidirect
86. C59×#497C22semidirect
87. C59×#494C22semidirect
89. C59×#491C22semidirect
92. C59×#489C22semidirect
97. C59×#484C22semidirect
99. C59×#482C22semidirect
101. C59×#479C22semidirect
102. C59×#479C22semidirect
103. C59×#479C22semidirect
104. C59×#479C22semidirect
105. C59×#479C22semidirect
106. C59×#479C22semidirect
108. C59×#478C22semidirect
109. C59×#477C22semidirect
113. C59×#470C22semidirect
114. C59×#470C22semidirect
118. C59×#468C22semidirect
122. C59×#465C22semidirect
133. C59×#464C22semidirect
134. 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
146. C59×#461C22semidirect
159. C59×#452C22semidirect
160. C59×#452C22semidirect
163. C59×#451C22semidirect
164. C59×#451C22semidirect
165. C59×#451C22semidirect
170. C59×#448C22semidirect
171. C59×#446C22semidirect
172. C59×#446C22semidirect
173. C59×#441C22semidirect
174. C59×#441C22semidirect
175. C59×#441C22semidirect
176. C59×#441C22semidirect
180. C59×#440C22semidirect
181. C4×Q16×C59C22semidirect
182. C4×Q16×C59C22semidirect
184. C4×SD16×C59C22semidirect
186. C59×#436C22semidirect
190. C59×#435C22semidirect
192. C59×#433C22semidirect
193. C59×#432C22semidirect
195. C59×#424C22semidirect
196. C59×#423C22semidirect
197. C59×#419C22semidirect
200. C59×#417C22semidirect
806. #62077C59direct (N × H)
854. #3523C2×C59semidirect
855. #3400C2×C59semidirect
856. #3398C2×C59semidirect
857. #3377C2×C59semidirect
858. #3371C2×C59semidirect
859. #3327C2×C59semidirect
860. #3323C2×C59semidirect
861. #3317C2×C59semidirect
862. #3315C2×C59semidirect
863. #3313C2×C59semidirect
864. #3311C2×C59semidirect
865. #3278C2×C59semidirect
866. #3276C2×C59semidirect
867. #3270C2×C59semidirect
868. #3270C2×C59semidirect
869. #3266C2×C59semidirect
870. #3266C2×C59semidirect
871. #3261C2×C59semidirect
872. #3260C2×C59semidirect
873. #3252C2×C59semidirect
874. #3223C2×C59semidirect
875. #3222C2×C59semidirect
876. #3216C2×C59semidirect
877. #3127C2×C59semidirect
878. #3126C2×C59semidirect
879. #3117C2×C59semidirect
880. #3044C2×C59semidirect
881. #3043C2×C59semidirect
882. #3037C2×C59semidirect
883. #2995C2×C59semidirect
896. C2×#137C22×C59semidirect
897. C22×Q16C22×C59semidirect
903. #557C22×C59semidirect
904. #557C22×C59semidirect
912. #552C22×C59semidirect
917. D4×Q8C22×C59semidirect
927. #541C22×C59semidirect
936. #533C22×C59semidirect
942. #519C22×C59semidirect
943. C2×C4×Q8C22×C59semidirect
947. #497C22×C59semidirect
948. #494C22×C59semidirect
950. #491C22×C59semidirect
953. #489C22×C59semidirect
958. #484C22×C59semidirect
960. #482C22×C59semidirect
962. #479C22×C59semidirect
963. #479C22×C59semidirect
964. #479C22×C59semidirect
965. #479C22×C59semidirect
966. #479C22×C59semidirect
967. #479C22×C59semidirect
969. #478C22×C59semidirect
970. #477C22×C59semidirect
974. #470C22×C59semidirect
975. #470C22×C59semidirect
979. #468C22×C59semidirect
983. #465C22×C59semidirect
994. #464C22×C59semidirect
995. #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
1007. #461C22×C59semidirect
1020. #452C22×C59semidirect
1021. #452C22×C59semidirect
1024. #451C22×C59semidirect
1025. #451C22×C59semidirect
1026. #451C22×C59semidirect
1031. #448C22×C59semidirect
1032. #446C22×C59semidirect
1033. #446C22×C59semidirect
1034. #441C22×C59semidirect
1035. #441C22×C59semidirect
1036. #441C22×C59semidirect
1037. #441C22×C59semidirect
1041. #440C22×C59semidirect
1042. C4×Q16C22×C59semidirect
1043. C4×Q16C22×C59semidirect
1045. C4×SD16C22×C59semidirect
1047. #436C22×C59semidirect
1051. #435C22×C59semidirect
1053. #433C22×C59semidirect
1054. #432C22×C59semidirect
1056. #424C22×C59semidirect
1057. #423C22×C59semidirect
1058. #419C22×C59semidirect
1061. #417C22×C59semidirect
1064. C59#62077direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#35622
C59×#35232
C59×#34002
C59×#33982
C59×#33772
C59×#33712
C59×#33272
C59×#33232
C59×#33172
C59×#33152
C59×#33132
C59×#33112
C59×#32782
C59×#32762
C59×#32702
C59×#32662
C59×#32612
C59×#32602
C59×#32522
C59×#32232
C59×#32222
C59×#32162
C59×#31272
C59×#31262
C59×#31172
C59×#30442
C59×#30432
C59×#30372
C59×#29952
#6207759