Finite Group Databasebeta

← C59×#36776 #28448885

Subgroups — C59×#36776 #28448885

Order 15104.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#2849C211yesmaximal, characteristic, complemented
2C59×#2847C211yesmaximal, characteristic, complemented
3C59×#2778C211yesmaximal, characteristic, complemented
4C59×#2778C211yesmaximal, characteristic, complemented
5C59×#2760C211yesmaximal, characteristic, complemented
6C59×#2750C211yesmaximal, characteristic, complemented
7C59×#2749C211yesmaximal, characteristic, complemented
8C59×#2749C211yesmaximal, characteristic, complemented
9C59×#2743C211yesmaximal, characteristic, complemented
10C59×#2703C211yesmaximal, characteristic, complemented
11C59×#2697C211yesmaximal, characteristic, complemented
12C59×#2696C211yesmaximal, characteristic, complemented
13C59×#2688C211yesmaximal, characteristic, complemented
14C59×#2688C211yesmaximal, characteristic, complemented
15C59×#2684C211yesmaximal, characteristic, complemented
16C59×#2678C211yesmaximal, characteristic, complemented
17C59×#2676C211yesmaximal, characteristic, complemented
18C59×#2668C211yesmaximal, characteristic, complemented
19C59×#2643C211yesmaximal, characteristic, complemented
20C59×#2639C211yesmaximal, characteristic, complemented
21C59×#2510C211yesmaximal, characteristic, complemented
22C59×#2472C211yesmaximal, characteristic, complemented
23C59×#2444C211yesmaximal, characteristic, complemented
24C59×#2437C211yesmaximal, characteristic, complemented
25C59×#2424C211yesmaximal, characteristic, complemented
26C59×#2410C211yesmaximal, characteristic, complemented
27C59×#2410C211yesmaximal, characteristic, complemented
28C59×#2403C211yesmaximal, characteristic, complemented
29C59×#2321C211yesmaximal, characteristic, complemented
30C59×#2308C211yesmaximal, characteristic, complemented
31C2×C59×#386C211yesmaximal, characteristic, complemented
32C23×D4×C59C2211yescharacteristic
33C23×D4×C59C2211yescharacteristic
34C24×C4×C59C2211yescharacteristic, complemented
35C2×#124×C59C2211yescharacteristic, complemented
36C2×#123×C59C2211yescharacteristic, complemented
37C2×#123×C59C2211yescharacteristic, complemented
38C2×C22⋊Q8×C59C2211yescharacteristic, complemented
39C2×C22⋊Q8×C59C2211yescharacteristic, complemented
40C2×#121×C59C2211yescharacteristic
41C2×#121×C59C2211yescharacteristic
42C2×#121×C59C2211yescharacteristic, complemented
43C2×#121×C59C2211yescharacteristic, complemented
44C2×#121×C59C2211yescharacteristic, complemented
45C2×#121×C59C2211yescharacteristic, complemented
46C2×#121×C59C2211yescharacteristic, complemented
47C2×#120×C59C2211yescharacteristic
48C2×#120×C59C2211yescharacteristic
49C2×#120×C59C2211yescharacteristic
50C2×#120×C59C2211yescharacteristic
51C2×#120×C59C2211yescharacteristic
52C2×#120×C59C2211yescharacteristic, complemented
53C2×#120×C59C2211yescharacteristic, complemented
54C2×C4×D4×C59C2211yescharacteristic, complemented
55C22×C22⋊C4×C59C2211yescharacteristic
56C22×C22⋊C4×C59C2211yescharacteristic
57C22×C22⋊C4×C59C2211yescharacteristic
58C22×C22⋊C4×C59C2211yescharacteristic, complemented
59C59×#401C2211yescharacteristic, complemented
60C59×#401C2211yescharacteristic, complemented
61C59×#400C2211yescharacteristic, complemented
62C59×#400C2211yescharacteristic, complemented
63C59×#400C2211yescharacteristic, complemented
64C59×#400C2211yescharacteristic, complemented
65C59×#400C2211yescharacteristic, complemented
66C59×#400C2211yescharacteristic, complemented
67C59×#400C2211yescharacteristic, complemented
68C59×#399C2211yescharacteristic, complemented
69C59×#397C2211yescharacteristic, complemented
70C59×#397C2211yescharacteristic, complemented
71C59×#397C2211yescharacteristic, complemented
72C59×#397C2211yescharacteristic, complemented
73C59×#397C2211yescharacteristic, complemented
74C59×#397C2211yescharacteristic, complemented
75C59×#397C2211yescharacteristic, complemented
76C59×#397C2211yescharacteristic, complemented
77C59×#397C2211yescharacteristic, complemented
78C59×#397C2211yescharacteristic, complemented
79C59×#396C2211yescharacteristic, complemented
80C59×#396C2211yescharacteristic, complemented
81C59×#396C2211yescharacteristic, complemented
82C59×#396C2211yescharacteristic, complemented
83C59×#394C2211yescharacteristic
84C59×#394C2211yescharacteristic
85C59×#394C2211yescharacteristic, complemented
86C59×#394C2211yescharacteristic, complemented
87C59×#394C2211yescharacteristic, complemented
88C59×#394C2211yescharacteristic, complemented
89C59×#394C2211yescharacteristic, complemented
90C59×#394C2211yescharacteristic, complemented
91C59×#394C2211yescharacteristic, complemented
92C59×#394C2211yescharacteristic, complemented
93C59×#394C2211yescharacteristic, complemented
94C59×#393C2211yescharacteristic, complemented
95C59×#393C2211yescharacteristic, complemented
96C59×#393C2211yescharacteristic, complemented
97C59×#393C2211yescharacteristic, complemented
98C59×#392C2211yescharacteristic
99C59×#392C2211yescharacteristic
100C59×#392C2211yescharacteristic
101C59×#392C2211yescharacteristic
102C59×#392C2211yescharacteristic
103C59×#392C2211yescharacteristic
104C59×#392C2211yescharacteristic, complemented
105C59×#392C2211yescharacteristic, complemented
106C59×#392C2211yescharacteristic, complemented
107C59×#390C2211yescharacteristic, complemented
108C59×#390C2211yescharacteristic, complemented
109C59×#390C2211yescharacteristic, complemented
110C59×#390C2211yescharacteristic, complemented
111C59×#388C2211yescharacteristic, complemented
112C59×#388C2211yescharacteristic, complemented
113C59×#388C2211yescharacteristic, complemented
114C59×#388C2211yescharacteristic, complemented
115C59×#388C2211yescharacteristic, complemented
116C59×#388C2211yescharacteristic, complemented
117C59×#388C2211yescharacteristic, complemented
118C59×#388C2211yescharacteristic, complemented
119C59×#388C2211yescharacteristic, complemented
120C59×#388C2211yescharacteristic, complemented
121C59×#387C2211yescharacteristic, complemented
122C59×#387C2211yescharacteristic, complemented
123C59×#386C2211yescharacteristic
124C59×#386C2211yescharacteristic
125C59×#386C2211yescharacteristic
126C59×#386C2211yescharacteristic
127C59×#386C2211yescharacteristic
128C59×#386C2211yescharacteristic
129C59×#386C2211yescharacteristic
130C59×#386C2211yescharacteristic
131C59×#386C2211yescharacteristic
132C59×#386C2211yescharacteristic
133C59×#386C2211yescharacteristic
134C59×#386C2211yescharacteristic
135C59×#386C2211yescharacteristic
136C59×#386C2211yescharacteristic
137C59×#386C2211yescharacteristic, complemented
138C59×#386C2211yescharacteristic, complemented
139C59×#386C2211yescharacteristic, complemented
140C59×#386C2211yescharacteristic, complemented
141C59×#386C2211yescharacteristic, complemented
142C59×#386C2211yescharacteristic, complemented
143C59×#386C2211yescharacteristic, complemented
144C59×#386C2211yescharacteristic, complemented
145C59×#386C2211yescharacteristic, complemented
146C59×#386C2211yescharacteristic, complemented
147C59×#386C2211yescharacteristic, complemented
148C59×#386C2211yescharacteristic, complemented
149C59×#386C2211yescharacteristic, complemented
150C59×#386C2211yescharacteristic, complemented
151C59×#386C2211yescharacteristic, complemented
152C59×#386C2211yescharacteristic, complemented
153C59×#386C2211yescharacteristic, complemented
154C59×#386C2211yescharacteristic, complemented
155C59×#386C2211yescharacteristic, complemented
156C59×#386C2211yescharacteristic, complemented
157C59×#386C2211yescharacteristic, complemented
158C59×#386C2211yescharacteristic, complemented
159C59×#386C2211yescharacteristic, complemented
160C59×#385C2211yescharacteristic, complemented
161C59×#385C2211yescharacteristic, complemented
162C59×#385C2211yescharacteristic, complemented
163C59×#385C2211yescharacteristic, complemented
164C59×#385C2211yescharacteristic, complemented
165C59×#385C2211yescharacteristic, complemented
166C59×#385C2211yescharacteristic, complemented
167C59×#385C2211yescharacteristic, complemented
168C59×#385C2211yescharacteristic, complemented
169C59×#383C2211yescharacteristic, complemented
170C59×#381C2211yescharacteristic, complemented
171C59×#381C2211yescharacteristic, complemented
172C59×#381C2211yescharacteristic, complemented
173C59×#381C2211yescharacteristic, complemented
174C59×#381C2211yescharacteristic, complemented
175C59×#380C2211yescharacteristic, complemented
176C59×#380C2211yescharacteristic, complemented
177C59×#380C2211yescharacteristic, complemented
178C59×#380C2211yescharacteristic, complemented
179C59×#379C2211yescharacteristic
180C59×#379C2211yescharacteristic, complemented
181C59×#379C2211yescharacteristic, complemented
182C59×#379C2211yescharacteristic, complemented
183C59×#379C2211yescharacteristic, complemented
184C4×C22⋊C4×C59C2211yescharacteristic, complemented
185C2×#95×C59C2211yescharacteristic, complemented
186C2×#95×C59C2211yescharacteristic, complemented
187C25×C59C2311yescharacteristic
188C25×C59C2311yescharacteristic
189C25×C59C2311yescharacteristic
190C22×Q8×C59C2311yescharacteristic
191C22×D4×C59—24no—
192C22×D4×C59—24no—
193C22×D4×C59—42no—
194C22×D4×C59—42no—
195C22×D4×C59—42no—
196C22×D4×C59—42no—
197C22×D4×C59C2311yescharacteristic
198C22×D4×C59C2311yescharacteristic
199C22×D4×C59C2311yescharacteristic
200C22×D4×C59C2311yescharacteristic
201C22×D4×C59C2311yescharacteristic
202C22×D4×C59C2311yescharacteristic
203C22×D4×C59C2311yescharacteristic
204C22×D4×C59C2311yescharacteristic
205C22×D4×C59C2311yescharacteristic
206C22×D4×C59C2311yescharacteristic
207C22×D4×C59C2311yescharacteristic
208C22×D4×C59C2311yescharacteristic
209C22×D4×C59C2311yescharacteristic
210C22×D4×C59C2311yescharacteristic
211C22×D4×C59C2311yescharacteristic
212C22×D4×C59C2311yescharacteristic
213C22×D4×C59C2311yescharacteristic
214C22×D4×C59C2311yescharacteristic
215C22×D4×C59C2311yescharacteristic
216C23×C4×C59—42no—
217C23×C4×C59—42no—
218C23×C4×C59—42no—
219C23×C4×C59C2311yescharacteristic
220C23×C4×C59C2311yescharacteristic
221C23×C4×C59C2311yescharacteristic
222C23×C4×C59C2311yescharacteristic
223C23×C4×C59C2311yescharacteristic
224C23×C4×C59C2311yescharacteristic
225C23×C4×C59C2311yescharacteristic
226C23×C4×C59C2311yescharacteristic
227C23×C4×C59C2311yescharacteristic
228C23×C4×C59C2311yescharacteristic
229C23×C4×C59C2311yescharacteristic
230C23×C4×C59C2311yescharacteristic
231C23×C4×C59C2311yescharacteristic
232#124×C59—42no—
233#123×C59—42no—
234#123×C59—42no—
235C22⋊Q8×C59—42no—
236C22⋊Q8×C59—42no—
237#121×C59—42no—
238#121×C59—42no—
239#121×C59—42no—
240#121×C59—42no—
241#121×C59—42no—
242#121×C59—42no—
243#121×C59—42no—
244#120×C59—24no—
245#120×C59—42no—
246#120×C59—42no—
247#120×C59—42no—
248#120×C59—42no—
249#120×C59—42no—
250#120×C59—42no—
251C4×D4×C59—42no—
252C2×C4⋊C4×C59C2311yescharacteristic
253C2×C4⋊C4×C59C2311yescharacteristic
254C2×C4⋊C4×C59C2311yescharacteristic
255C2×C4⋊C4×C59C2311yescharacteristic
256C2×C4⋊C4×C59C2311yescharacteristic
257C2×C4⋊C4×C59C2311yescharacteristic
258C2×C4⋊C4×C59C2311yescharacteristic
259C2×C4⋊C4×C59C2311yescharacteristic
260C2×C4⋊C4×C59C2311yescharacteristic
261C2×C4⋊C4×C59C2311yescharacteristic
262C2×C4⋊C4×C59C2311yescharacteristic
263C2×C4⋊C4×C59C2311yescharacteristic
264C2×C4⋊C4×C59C2311yescharacteristic
265C2×C4⋊C4×C59C2311yescharacteristic
266C2×C4⋊C4×C59C2311yescharacteristic
267C2×C4⋊C4×C59C2311yescharacteristic
268C2×C22⋊C4×C59—42no—
269C2×C22⋊C4×C59—42no—
270C2×C22⋊C4×C59—42no—
271C2×C22⋊C4×C59—42no—
272C2×C22⋊C4×C59C2311yescharacteristic
273C2×C22⋊C4×C59C2311yescharacteristic
274C2×C22⋊C4×C59C2311yescharacteristic
275C2×C22⋊C4×C59C2311yescharacteristic
276C2×C22⋊C4×C59C2311yescharacteristic
277C2×C22⋊C4×C59C2311yescharacteristic
278C2×C22⋊C4×C59C2311yescharacteristic
279C2×C22⋊C4×C59C2311yescharacteristic
280C2×C22⋊C4×C59C2311yescharacteristic
281C2×C22⋊C4×C59C2311yescharacteristic
282C2×C22⋊C4×C59C2311yescharacteristic
283C2×C22⋊C4×C59C2311yescharacteristic
284C2×C22⋊C4×C59C2311yescharacteristic
285C2×C22⋊C4×C59C2311yescharacteristic
286C2×C22⋊C4×C59C2311yescharacteristic
287C2×C22⋊C4×C59C2311yescharacteristic
288C2×C22⋊C4×C59C2311yescharacteristic
289C2×C22⋊C4×C59C2311yescharacteristic
290C2×C22⋊C4×C59C2311yescharacteristic
291C2×C22⋊C4×C59C2311yescharacteristic
292C2×C22⋊C4×C59C2311yescharacteristic
293C2×C22⋊C4×C59C2311yescharacteristic
294C2×C22⋊C4×C59C2311yescharacteristic
295C2×C22⋊C4×C59C2311yescharacteristic
296C2×C22⋊C4×C59C2311yescharacteristic
297C2×C22⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59C2311yescharacteristic
299C2×C22⋊C4×C59C2311yescharacteristic
300C2×C22⋊C4×C59C2311yescharacteristic
301C2×C22⋊C4×C59C2311yescharacteristic
302C2×C22⋊C4×C59C2311yescharacteristic
303C2×C22⋊C4×C59C2311yescharacteristic
304C2×C22⋊C4×C59C2311yescharacteristic
305C2×C22⋊C4×C59C2311yescharacteristic
306C2×C22⋊C4×C59C2311yescharacteristic
307C2×C22⋊C4×C59C2311yescharacteristic
308C2×C22⋊C4×C59C2311yescharacteristic
309C2×C22⋊C4×C59C2311yescharacteristic
310C2×C22⋊C4×C59C2311yescharacteristic
311C2×C22⋊C4×C59C2311yescharacteristic
312C2×C22⋊C4×C59C2311yescharacteristic
313C2×C22⋊C4×C59C2311yescharacteristic
314C2×C22⋊C4×C59C2311yescharacteristic
315C2×C22⋊C4×C59C2311yescharacteristic
316C2×C22⋊C4×C59C2311yescharacteristic
317C2×C22⋊C4×C59C2311yescharacteristic
318C2×C22⋊C4×C59C2311yescharacteristic
319C2×C22⋊C4×C59C2311yescharacteristic
320C2×C22⋊C4×C59C2311yescharacteristic
321C2×C22⋊C4×C59C2311yescharacteristic
322C2×C22⋊C4×C59C2311yescharacteristic
323C2×C22⋊C4×C59C2311yescharacteristic
324C2×C22⋊C4×C59C2311yescharacteristic
325C2×C22⋊C4×C59C2311yescharacteristic
326C2×C22⋊C4×C59C2311yescharacteristic
327C2×C22⋊C4×C59C2311yescharacteristic
328C2×C22⋊C4×C59C2311yescharacteristic
329C2×C22⋊C4×C59C2311yescharacteristic
330C2×C22⋊C4×C59C2311yescharacteristic
331C2×C22⋊C4×C59C2311yescharacteristic
332C2×C42×C59C2311yescharacteristic
333C2×C42×C59C2311yescharacteristic
334C2×C42×C59C2311yescharacteristic
335#95×C59C2311yescharacteristic
336#95×C59C2311yescharacteristic
337#95×C59C2311yescharacteristic
338#95×C59C2311yescharacteristic
339#95×C59C2311yescharacteristic
340#95×C59C2311yescharacteristic
341#95×C59C2311yescharacteristic
342#95×C59C2311yescharacteristic
343#95×C59C2311yescharacteristic
344#95×C59C2311yescharacteristic
345#95×C59C2311yescharacteristic
346#95×C59C2311yescharacteristic
347#95×C59C2311yescharacteristic
348#95×C59C2311yescharacteristic
349#95×C59C2311yescharacteristic
350#95×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375C24×C59—22no—
376C24×C59—22no—
377C24×C59—22no—
378C24×C59—22no—
379C24×C59—22no—
380C24×C59—22no—
381C24×C59—22no—
382C24×C59—22no—
383C24×C59—41no—
384C24×C59—41no—
385C24×C59—41no—
386C24×C59—41no—
387C24×C59—41no—
388C24×C59—41no—
389C24×C59—41no—
390C24×C59—41no—
391C24×C59—41no—
392C24×C59—41no—
393C24×C59—41no—
394C24×C59—41no—
395C24×C59#4114yes—
396C24×C59C2411yescharacteristic
397C24×C59C2411yescharacteristic
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C24×C59C2411yescharacteristic
402C24×C59C2411yescharacteristic
403C24×C59C2411yescharacteristic
404C2×Q8×C59—41no—
405C2×Q8×C59—41no—
406C2×Q8×C59—41no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—22no—
419C2×D4×C59—22no—
420C2×D4×C59—22no—
421C2×D4×C59—22no—
422C2×D4×C59—22no—
423C2×D4×C59—22no—
424C2×D4×C59—22no—
425C2×D4×C59—22no—
426C2×D4×C59—22no—
427C2×D4×C59—22no—
428C2×D4×C59—22no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—22no—
433C2×D4×C59—22no—
434C2×D4×C59—22no—
435C2×D4×C59—41no—
436C2×D4×C59—41no—
437C2×D4×C59—41no—
438C2×D4×C59—41no—
439C2×D4×C59—41no—
440C2×D4×C59—41no—
441C2×D4×C59—41no—
442C2×D4×C59—41no—
443C2×D4×C59—41no—
444C2×D4×C59—41no—
445C2×D4×C59—41no—
446C2×D4×C59—41no—
447C2×D4×C59—41no—
448C2×D4×C59—41no—
449C2×D4×C59—41no—
450C2×D4×C59—41no—
451C2×D4×C59—41no—
452C2×D4×C59—41no—
453C2×D4×C59—41no—
454C2×D4×C59—41no—
455C2×D4×C59—41no—
456C2×D4×C59—41no—
457C2×D4×C59—41no—
458C2×D4×C59—41no—
459C2×D4×C59—41no—
460C2×D4×C59—41no—
461C2×D4×C59—41no—
462C2×D4×C59—41no—
463C2×D4×C59—41no—
464C2×D4×C59—416no—
465C2×D4×C59—416no—
466C22×C4×C59—22no—
467C22×C4×C59—22no—
468C22×C4×C59—22no—
469C22×C4×C59—22no—
470C22×C4×C59—22no—
471C22×C4×C59—22no—
472C22×C4×C59—22no—
473C22×C4×C59—22no—
474C22×C4×C59—22no—
475C22×C4×C59—22no—
476C22×C4×C59—22no—
477C22×C4×C59—41no—
478C22×C4×C59—41no—
479C22×C4×C59—41no—
480C22×C4×C59—41no—
481C22×C4×C59—41no—
482C22×C4×C59—41no—
483C22×C4×C59—41no—
484C22×C4×C59—41no—
485C22×C4×C59—41no—
486C22×C4×C59—41no—
487C22×C4×C59—41no—
488C22×C4×C59—41no—
489C22×C4×C59—41no—
490C22×C4×C59—41no—
491C22×C4×C59—41no—
492C22×C4×C59—41no—
493C22×C4×C59—41no—
494C22×C4×C59—41no—
495C22×C4×C59—41no—
496C22×C4×C59—41no—
497C22×C4×C59—41no—
498C22×C4×C59—41no—
499C22×C4×C59—41no—
500C22×C4×C59—41no—
501C22×C4×C59—41no—
502C22×C4×C59—41no—
503C22×C4×C59—41no—
504C22×C4×C59—41no—
505C22×C4×C59—416no—
506C22×C4×C59C2411yescharacteristic
507C22×C4×C59C2411yescharacteristic
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C22×C4×C59C2411yescharacteristic
523C22×C4×C59C2411yescharacteristic
524C22×C4×C59C2411yescharacteristic
525C22×C4×C59C2411yescharacteristic
526C22×C4×C59C2411yescharacteristic
527C22×C4×C59C2411yescharacteristic
528C22×C4×C59C2411yescharacteristic
529C4⋊C4×C59—22no—
530C4⋊C4×C59—22no—
531C4⋊C4×C59—41no—
532C4⋊C4×C59—41no—
533C4⋊C4×C59—41no—
534C4⋊C4×C59—41no—
535C4⋊C4×C59—41no—
536C4⋊C4×C59—41no—
537C4⋊C4×C59—41no—
538C4⋊C4×C59—41no—
539C4⋊C4×C59—41no—
540C4⋊C4×C59—41no—
541C4⋊C4×C59—41no—
542C4⋊C4×C59—41no—
543C4⋊C4×C59—41no—
544C4⋊C4×C59—41no—
545C22⋊C4×C59—22no—
546C22⋊C4×C59—22no—
547C22⋊C4×C59—22no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—22no—
552C22⋊C4×C59—22no—
553C22⋊C4×C59—22no—
554C22⋊C4×C59—22no—
555C22⋊C4×C59—22no—
556C22⋊C4×C59—22no—
557C22⋊C4×C59—22no—
558C22⋊C4×C59—22no—
559C22⋊C4×C59—41no—
560C22⋊C4×C59—41no—
561C22⋊C4×C59—41no—
562C22⋊C4×C59—41no—
563C22⋊C4×C59—41no—
564C22⋊C4×C59—41no—
565C22⋊C4×C59—41no—
566C22⋊C4×C59—41no—
567C22⋊C4×C59—41no—
568C22⋊C4×C59—41no—
569C22⋊C4×C59—41no—
570C22⋊C4×C59—41no—
571C22⋊C4×C59—41no—
572C22⋊C4×C59—41no—
573C22⋊C4×C59—41no—
574C22⋊C4×C59—41no—
575C22⋊C4×C59—41no—
576C22⋊C4×C59—41no—
577C22⋊C4×C59—41no—
578C22⋊C4×C59—41no—
579C22⋊C4×C59—41no—
580C22⋊C4×C59—41no—
581C22⋊C4×C59—41no—
582C22⋊C4×C59—41no—
583C22⋊C4×C59—41no—
584C22⋊C4×C59—41no—
585C22⋊C4×C59—41no—
586C22⋊C4×C59—41no—
587C22⋊C4×C59—41no—
588C22⋊C4×C59—41no—
589C22⋊C4×C59—41no—
590C22⋊C4×C59—41no—
591C22⋊C4×C59—41no—
592C22⋊C4×C59—41no—
593C22⋊C4×C59—41no—
594C22⋊C4×C59—41no—
595C22⋊C4×C59—41no—
596C22⋊C4×C59—41no—
597C22⋊C4×C59—41no—
598C22⋊C4×C59—41no—
599C22⋊C4×C59—41no—
600C22⋊C4×C59—41no—
601C22⋊C4×C59—41no—
602C22⋊C4×C59—41no—
603C22⋊C4×C59—41no—
604C22⋊C4×C59—41no—
605C42×C59—41no—
606C42×C59—41no—
607C42×C59—41no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—28no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—28no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—44no—
660C23×C59—44no—
661C23×C59—44no—
662C23×C59—44no—
663C23×C59—44no—
664C23×C59—44no—
665C23×C59—44no—
666C23×C59—44no—
667C23×C59—44no—
668C23×C59—82no—
669C23×C59—82no—
670C23×C59—82no—
671C23×C59—82no—
672C23×C59—82no—
673C23×C59—82no—
674C23×C59—82no—
675C23×C59—82no—
676C23×C59—82no—
677C23×C59—82no—
678C23×C59C2×#4112yes—
679C23×C59C2×#4112yes—
680C23×C59C2×#4112yes—
681C23×C59H(5,𝔽2)12yes—
682C23×C59H(5,𝔽2)12yes—
683C23×C59H(5,𝔽2)12yes—
684C23×C59H(5,𝔽2)12yes—
685C23×C59C2511yescharacteristic
686Q8×C59—82no—
687D4×C59—44no—
688D4×C59—44no—
689D4×C59—44no—
690D4×C59—44no—
691D4×C59—44no—
692D4×C59—44no—
693D4×C59—44no—
694D4×C59—44no—
695D4×C59—44no—
696D4×C59—82no—
697D4×C59—82no—
698D4×C59—82no—
699D4×C59—82no—
700D4×C59—82no—
701D4×C59—82no—
702D4×C59—82no—
703D4×C59—82no—
704D4×C59—82no—
705D4×C59—82no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
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—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—44no—
775C2×C4×C59—44no—
776C2×C4×C59—44no—
777C2×C4×C59—44no—
778C2×C4×C59—44no—
779C2×C4×C59—44no—
780C2×C4×C59—44no—
781C2×C4×C59—44no—
782C2×C4×C59—82no—
783C2×C4×C59—82no—
784C2×C4×C59—82no—
785C2×C4×C59—82no—
786C2×C4×C59—82no—
787C2×C4×C59H(5,𝔽2)12yes—
788#36776C5911yesmaximal, characteristic, direct product factor, Sylow
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—22no—
795C22×C59—22no—
796C22×C59—22no—
797C22×C59—22no—
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—22no—
802C22×C59—22no—
803C22×C59—22no—
804C22×C59—22no—
805C22×C59—22no—
806C22×C59—22no—
807C22×C59—416no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
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—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—88no—
846C22×C59—88no—
847C22×C59#53814yes—
848C22×C59C22×#4111yescharacteristic
849C22×C59C2×H(5,𝔽2)11yescharacteristic
850C22×C59C2×H(5,𝔽2)11yescharacteristic
851C22×C59C2×H(5,𝔽2)11yescharacteristic
852C22×C59C2×H(5,𝔽2)11yescharacteristic
853C22×C59C2×H(5,𝔽2)11yescharacteristic
854C22×C59#58511yescharacteristic
855C4×C59—22no—
856C4×C59—41no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878#2849C2×C5911yescharacteristic, complemented
879#2847C2×C5911yescharacteristic, complemented
880#2778C2×C5911yescharacteristic, complemented
881#2778C2×C5911yescharacteristic, complemented
882#2760C2×C5911yescharacteristic, complemented
883#2750C2×C5911yescharacteristic, complemented
884#2749C2×C5911yescharacteristic, complemented
885#2749C2×C5911yescharacteristic, complemented
886#2743C2×C5911yescharacteristic, complemented
887#2703C2×C5911yescharacteristic, complemented
888#2697C2×C5911yescharacteristic, complemented
889#2696C2×C5911yescharacteristic, complemented
890#2688C2×C5911yescharacteristic, complemented
891#2688C2×C5911yescharacteristic, complemented
892#2684C2×C5911yescharacteristic, complemented
893#2678C2×C5911yescharacteristic, complemented
894#2676C2×C5911yescharacteristic, complemented
895#2668C2×C5911yescharacteristic, complemented
896#2643C2×C5911yescharacteristic, complemented
897#2639C2×C5911yescharacteristic, complemented
898#2510C2×C5911yescharacteristic, complemented
899#2472C2×C5911yescharacteristic, complemented
900#2444C2×C5911yescharacteristic, complemented
901#2437C2×C5911yescharacteristic, complemented
902#2424C2×C5911yescharacteristic, complemented
903#2410C2×C5911yescharacteristic, complemented
904#2410C2×C5911yescharacteristic, complemented
905#2403C2×C5911yescharacteristic, complemented
906#2321C2×C5911yescharacteristic, complemented
907#2308C2×C5911yescharacteristic, complemented
908C2×#386C2×C5911yescharacteristic, complemented
909C2×C59—24no—
910C2×C59—42no—
911C2×C59—42no—
912C2×C59—42no—
913C2×C59—42no—
914C2×C59—81no—
915C2×C59—81no—
916C2×C59—81no—
917C2×C59C2×#53811yescharacteristic
918C2×C59#349011yescharacteristic
919C2×C59#350511yescharacteristic
920C2×C59#353211yescharacteristic
921C2×C59#353411yescharacteristic
922C2×C59#353411yescharacteristic
923C2×C59#353711yescharacteristic
924C23×D4C22×C5911yescharacteristic
925C23×D4C22×C5911yescharacteristic
926C24×C4C22×C5911yescharacteristic, complemented
927C2×#124C22×C5911yescharacteristic, complemented
928C2×#123C22×C5911yescharacteristic, complemented
929C2×#123C22×C5911yescharacteristic, complemented
930C2×C22⋊Q8C22×C5911yescharacteristic, complemented
931C2×C22⋊Q8C22×C5911yescharacteristic, complemented
932C2×#121C22×C5911yescharacteristic
933C2×#121C22×C5911yescharacteristic
934C2×#121C22×C5911yescharacteristic, complemented
935C2×#121C22×C5911yescharacteristic, complemented
936C2×#121C22×C5911yescharacteristic, complemented
937C2×#121C22×C5911yescharacteristic, complemented
938C2×#121C22×C5911yescharacteristic, complemented
939C2×#120C22×C5911yescharacteristic
940C2×#120C22×C5911yescharacteristic
941C2×#120C22×C5911yescharacteristic
942C2×#120C22×C5911yescharacteristic
943C2×#120C22×C5911yescharacteristic
944C2×#120C22×C5911yescharacteristic, complemented
945C2×#120C22×C5911yescharacteristic, complemented
946C2×C4×D4C22×C5911yescharacteristic, complemented
947C22×C22⋊C4C22×C5911yescharacteristic
948C22×C22⋊C4C22×C5911yescharacteristic
949C22×C22⋊C4C22×C5911yescharacteristic
950C22×C22⋊C4C22×C5911yescharacteristic, complemented
951#401C22×C5911yescharacteristic, complemented
952#401C22×C5911yescharacteristic, complemented
953#400C22×C5911yescharacteristic, complemented
954#400C22×C5911yescharacteristic, complemented
955#400C22×C5911yescharacteristic, complemented
956#400C22×C5911yescharacteristic, complemented
957#400C22×C5911yescharacteristic, complemented
958#400C22×C5911yescharacteristic, complemented
959#400C22×C5911yescharacteristic, complemented
960#399C22×C5911yescharacteristic, complemented
961#397C22×C5911yescharacteristic, complemented
962#397C22×C5911yescharacteristic, complemented
963#397C22×C5911yescharacteristic, complemented
964#397C22×C5911yescharacteristic, complemented
965#397C22×C5911yescharacteristic, complemented
966#397C22×C5911yescharacteristic, complemented
967#397C22×C5911yescharacteristic, complemented
968#397C22×C5911yescharacteristic, complemented
969#397C22×C5911yescharacteristic, complemented
970#397C22×C5911yescharacteristic, complemented
971#396C22×C5911yescharacteristic, complemented
972#396C22×C5911yescharacteristic, complemented
973#396C22×C5911yescharacteristic, complemented
974#396C22×C5911yescharacteristic, complemented
975#394C22×C5911yescharacteristic
976#394C22×C5911yescharacteristic
977#394C22×C5911yescharacteristic, complemented
978#394C22×C5911yescharacteristic, complemented
979#394C22×C5911yescharacteristic, complemented
980#394C22×C5911yescharacteristic, complemented
981#394C22×C5911yescharacteristic, complemented
982#394C22×C5911yescharacteristic, complemented
983#394C22×C5911yescharacteristic, complemented
984#394C22×C5911yescharacteristic, complemented
985#394C22×C5911yescharacteristic, complemented
986#393C22×C5911yescharacteristic, complemented
987#393C22×C5911yescharacteristic, complemented
988#393C22×C5911yescharacteristic, complemented
989#393C22×C5911yescharacteristic, complemented
990#392C22×C5911yescharacteristic
991#392C22×C5911yescharacteristic
992#392C22×C5911yescharacteristic
993#392C22×C5911yescharacteristic
994#392C22×C5911yescharacteristic
995#392C22×C5911yescharacteristic
996#392C22×C5911yescharacteristic, complemented
997#392C22×C5911yescharacteristic, complemented
998#392C22×C5911yescharacteristic, complemented
999#390C22×C5911yescharacteristic, complemented
1000#390C22×C5911yescharacteristic, complemented
1001#390C22×C5911yescharacteristic, complemented
1002#390C22×C5911yescharacteristic, complemented
1003#388C22×C5911yescharacteristic, complemented
1004#388C22×C5911yescharacteristic, complemented
1005#388C22×C5911yescharacteristic, complemented
1006#388C22×C5911yescharacteristic, complemented
1007#388C22×C5911yescharacteristic, complemented
1008#388C22×C5911yescharacteristic, complemented
1009#388C22×C5911yescharacteristic, complemented
1010#388C22×C5911yescharacteristic, complemented
1011#388C22×C5911yescharacteristic, complemented
1012#388C22×C5911yescharacteristic, complemented
1013#387C22×C5911yescharacteristic, complemented
1014#387C22×C5911yescharacteristic, complemented
1015#386C22×C5911yescharacteristic
1016#386C22×C5911yescharacteristic
1017#386C22×C5911yescharacteristic
1018#386C22×C5911yescharacteristic
1019#386C22×C5911yescharacteristic
1020#386C22×C5911yescharacteristic
1021#386C22×C5911yescharacteristic
1022#386C22×C5911yescharacteristic
1023#386C22×C5911yescharacteristic
1024#386C22×C5911yescharacteristic
1025#386C22×C5911yescharacteristic
1026#386C22×C5911yescharacteristic
1027#386C22×C5911yescharacteristic
1028#386C22×C5911yescharacteristic
1029#386C22×C5911yescharacteristic, complemented
1030#386C22×C5911yescharacteristic, complemented
1031#386C22×C5911yescharacteristic, complemented
1032#386C22×C5911yescharacteristic, complemented
1033#386C22×C5911yescharacteristic, complemented
1034#386C22×C5911yescharacteristic, complemented
1035#386C22×C5911yescharacteristic, complemented
1036#386C22×C5911yescharacteristic, complemented
1037#386C22×C5911yescharacteristic, complemented
1038#386C22×C5911yescharacteristic, complemented
1039#386C22×C5911yescharacteristic, complemented
1040#386C22×C5911yescharacteristic, complemented
1041#386C22×C5911yescharacteristic, complemented
1042#386C22×C5911yescharacteristic, complemented
1043#386C22×C5911yescharacteristic, complemented
1044#386C22×C5911yescharacteristic, complemented
1045#386C22×C5911yescharacteristic, complemented
1046#386C22×C5911yescharacteristic, complemented
1047#386C22×C5911yescharacteristic, complemented
1048#386C22×C5911yescharacteristic, complemented
1049#386C22×C5911yescharacteristic, complemented
1050#386C22×C5911yescharacteristic, complemented
1051#386C22×C5911yescharacteristic, complemented
1052#385C22×C5911yescharacteristic, complemented
1053#385C22×C5911yescharacteristic, complemented
1054#385C22×C5911yescharacteristic, complemented
1055#385C22×C5911yescharacteristic, complemented
1056#385C22×C5911yescharacteristic, complemented
1057#385C22×C5911yescharacteristic, complemented
1058#385C22×C5911yescharacteristic, complemented
1059#385C22×C5911yescharacteristic, complemented
1060#385C22×C5911yescharacteristic, complemented
1061#383C22×C5911yescharacteristic, complemented
1062#381C22×C5911yescharacteristic, complemented
1063#381C22×C5911yescharacteristic, complemented
1064#381C22×C5911yescharacteristic, complemented
1065#381C22×C5911yescharacteristic, complemented
1066#381C22×C5911yescharacteristic, complemented
1067#380C22×C5911yescharacteristic, complemented
1068#380C22×C5911yescharacteristic, complemented
1069#380C22×C5911yescharacteristic, complemented
1070#380C22×C5911yescharacteristic, complemented
1071#379C22×C5911yescharacteristic
1072#379C22×C5911yescharacteristic, complemented
1073#379C22×C5911yescharacteristic, complemented
1074#379C22×C5911yescharacteristic, complemented
1075#379C22×C5911yescharacteristic, complemented
1076C4×C22⋊C4C22×C5911yescharacteristic, complemented
1077C2×#95C22×C5911yescharacteristic, complemented
1078C2×#95C22×C5911yescharacteristic, complemented
1079C59#3677611yescharacteristic, direct product factor, Sylow
1080C25C23×C5911yescharacteristic
1081C25C23×C5911yescharacteristic
1082C25C23×C5911yescharacteristic
1083C22×Q8C23×C5911yescharacteristic
1084C22×D4—24no—
1085C22×D4—24no—
1086C22×D4—42no—
1087C22×D4—42no—
1088C22×D4—42no—
1089C22×D4—42no—
1090C22×D4C23×C5911yescharacteristic
1091C22×D4C23×C5911yescharacteristic
1092C22×D4C23×C5911yescharacteristic
1093C22×D4C23×C5911yescharacteristic
1094C22×D4C23×C5911yescharacteristic
1095C22×D4C23×C5911yescharacteristic
1096C22×D4C23×C5911yescharacteristic
1097C22×D4C23×C5911yescharacteristic
1098C22×D4C23×C5911yescharacteristic
1099C22×D4C23×C5911yescharacteristic
1100C22×D4C23×C5911yescharacteristic
1101C22×D4C23×C5911yescharacteristic
1102C22×D4C23×C5911yescharacteristic
1103C22×D4C23×C5911yescharacteristic
1104C22×D4C23×C5911yescharacteristic
1105C22×D4C23×C5911yescharacteristic
1106C22×D4C23×C5911yescharacteristic
1107C22×D4C23×C5911yescharacteristic
1108C22×D4C23×C5911yescharacteristic
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4—42no—
1112C23×C4C23×C5911yescharacteristic
1113C23×C4C23×C5911yescharacteristic
1114C23×C4C23×C5911yescharacteristic
1115C23×C4C23×C5911yescharacteristic
1116C23×C4C23×C5911yescharacteristic
1117C23×C4C23×C5911yescharacteristic
1118C23×C4C23×C5911yescharacteristic
1119C23×C4C23×C5911yescharacteristic
1120C23×C4C23×C5911yescharacteristic
1121C23×C4C23×C5911yescharacteristic
1122C23×C4C23×C5911yescharacteristic
1123C23×C4C23×C5911yescharacteristic
1124C23×C4C23×C5911yescharacteristic
1125#124—42no—
1126#123—42no—
1127#123—42no—
1128C22⋊Q8—42no—
1129C22⋊Q8—42no—
1130#121—42no—
1131#121—42no—
1132#121—42no—
1133#121—42no—
1134#121—42no—
1135#121—42no—
1136#121—42no—
1137#120—24no—
1138#120—42no—
1139#120—42no—
1140#120—42no—
1141#120—42no—
1142#120—42no—
1143#120—42no—
1144C4×D4—42no—
1145C2×C4⋊C4C23×C5911yescharacteristic
1146C2×C4⋊C4C23×C5911yescharacteristic
1147C2×C4⋊C4C23×C5911yescharacteristic
1148C2×C4⋊C4C23×C5911yescharacteristic
1149C2×C4⋊C4C23×C5911yescharacteristic
1150C2×C4⋊C4C23×C5911yescharacteristic
1151C2×C4⋊C4C23×C5911yescharacteristic
1152C2×C4⋊C4C23×C5911yescharacteristic
1153C2×C4⋊C4C23×C5911yescharacteristic
1154C2×C4⋊C4C23×C5911yescharacteristic
1155C2×C4⋊C4C23×C5911yescharacteristic
1156C2×C4⋊C4C23×C5911yescharacteristic
1157C2×C4⋊C4C23×C5911yescharacteristic
1158C2×C4⋊C4C23×C5911yescharacteristic
1159C2×C4⋊C4C23×C5911yescharacteristic
1160C2×C4⋊C4C23×C5911yescharacteristic
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—42no—
1163C2×C22⋊C4—42no—
1164C2×C22⋊C4—42no—
1165C2×C22⋊C4C23×C5911yescharacteristic
1166C2×C22⋊C4C23×C5911yescharacteristic
1167C2×C22⋊C4C23×C5911yescharacteristic
1168C2×C22⋊C4C23×C5911yescharacteristic
1169C2×C22⋊C4C23×C5911yescharacteristic
1170C2×C22⋊C4C23×C5911yescharacteristic
1171C2×C22⋊C4C23×C5911yescharacteristic
1172C2×C22⋊C4C23×C5911yescharacteristic
1173C2×C22⋊C4C23×C5911yescharacteristic
1174C2×C22⋊C4C23×C5911yescharacteristic
1175C2×C22⋊C4C23×C5911yescharacteristic
1176C2×C22⋊C4C23×C5911yescharacteristic
1177C2×C22⋊C4C23×C5911yescharacteristic
1178C2×C22⋊C4C23×C5911yescharacteristic
1179C2×C22⋊C4C23×C5911yescharacteristic
1180C2×C22⋊C4C23×C5911yescharacteristic
1181C2×C22⋊C4C23×C5911yescharacteristic
1182C2×C22⋊C4C23×C5911yescharacteristic
1183C2×C22⋊C4C23×C5911yescharacteristic
1184C2×C22⋊C4C23×C5911yescharacteristic
1185C2×C22⋊C4C23×C5911yescharacteristic
1186C2×C22⋊C4C23×C5911yescharacteristic
1187C2×C22⋊C4C23×C5911yescharacteristic
1188C2×C22⋊C4C23×C5911yescharacteristic
1189C2×C22⋊C4C23×C5911yescharacteristic
1190C2×C22⋊C4C23×C5911yescharacteristic
1191C2×C22⋊C4C23×C5911yescharacteristic
1192C2×C22⋊C4C23×C5911yescharacteristic
1193C2×C22⋊C4C23×C5911yescharacteristic
1194C2×C22⋊C4C23×C5911yescharacteristic
1195C2×C22⋊C4C23×C5911yescharacteristic
1196C2×C22⋊C4C23×C5911yescharacteristic
1197C2×C22⋊C4C23×C5911yescharacteristic
1198C2×C22⋊C4C23×C5911yescharacteristic
1199C2×C22⋊C4C23×C5911yescharacteristic
1200C2×C22⋊C4C23×C5911yescharacteristic
1201C2×C22⋊C4C23×C5911yescharacteristic
1202C2×C22⋊C4C23×C5911yescharacteristic
1203C2×C22⋊C4C23×C5911yescharacteristic
1204C2×C22⋊C4C23×C5911yescharacteristic
1205C2×C22⋊C4C23×C5911yescharacteristic
1206C2×C22⋊C4C23×C5911yescharacteristic
1207C2×C22⋊C4C23×C5911yescharacteristic
1208C2×C22⋊C4C23×C5911yescharacteristic
1209C2×C22⋊C4C23×C5911yescharacteristic
1210C2×C22⋊C4C23×C5911yescharacteristic
1211C2×C22⋊C4C23×C5911yescharacteristic
1212C2×C22⋊C4C23×C5911yescharacteristic
1213C2×C22⋊C4C23×C5911yescharacteristic
1214C2×C22⋊C4C23×C5911yescharacteristic
1215C2×C22⋊C4C23×C5911yescharacteristic
1216C2×C22⋊C4C23×C5911yescharacteristic
1217C2×C22⋊C4C23×C5911yescharacteristic
1218C2×C22⋊C4C23×C5911yescharacteristic
1219C2×C22⋊C4C23×C5911yescharacteristic
1220C2×C22⋊C4C23×C5911yescharacteristic
1221C2×C22⋊C4C23×C5911yescharacteristic
1222C2×C22⋊C4C23×C5911yescharacteristic
1223C2×C22⋊C4C23×C5911yescharacteristic
1224C2×C22⋊C4C23×C5911yescharacteristic
1225C2×C42C23×C5911yescharacteristic
1226C2×C42C23×C5911yescharacteristic
1227C2×C42C23×C5911yescharacteristic
1228#95C23×C5911yescharacteristic
1229#95C23×C5911yescharacteristic
1230#95C23×C5911yescharacteristic
1231#95C23×C5911yescharacteristic
1232#95C23×C5911yescharacteristic
1233#95C23×C5911yescharacteristic
1234#95C23×C5911yescharacteristic
1235#95C23×C5911yescharacteristic
1236#95C23×C5911yescharacteristic
1237#95C23×C5911yescharacteristic
1238#95C23×C5911yescharacteristic
1239#95C23×C5911yescharacteristic
1240#95C23×C5911yescharacteristic
1241#95C23×C5911yescharacteristic
1242#95C23×C5911yescharacteristic
1243#95C23×C5911yescharacteristic
1244#95C23×C5911yescharacteristic
1245#95C23×C5911yescharacteristic
1246#95C23×C5911yescharacteristic
1247#95C23×C5911yescharacteristic
1248#95C23×C5911yescharacteristic
1249#95C23×C5911yescharacteristic
1250#95C23×C5911yescharacteristic
1251#95C23×C5911yescharacteristic
1252#95C23×C5911yescharacteristic
1253#95C23×C5911yescharacteristic
1254#95C23×C5911yescharacteristic
1255#95C23×C5911yescharacteristic
1256#95C23×C5911yescharacteristic
1257#95C23×C5911yescharacteristic
1258#95C23×C5911yescharacteristic
1259#95C23×C5911yescharacteristic
1260#95C23×C5911yescharacteristic
1261#95C23×C5911yescharacteristic
1262#95C23×C5911yescharacteristic
1263#95C23×C5911yescharacteristic
1264#95C23×C5911yescharacteristic
1265#95C23×C5911yescharacteristic
1266#95C23×C5911yescharacteristic
1267#95C23×C5911yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—22no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24—41no—
1284C24—41no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24#41×C5914yes—
1289C24C24×C5911yescharacteristic
1290C24C24×C5911yescharacteristic
1291C24C24×C5911yescharacteristic
1292C24C24×C5911yescharacteristic
1293C24C24×C5911yescharacteristic
1294C24C24×C5911yescharacteristic
1295C24C24×C5911yescharacteristic
1296C24C24×C5911yescharacteristic
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—416no—
1358C2×D4—416no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—41no—
1371C22×C4—41no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—416no—
1399C22×C4C24×C5911yescharacteristic
1400C22×C4C24×C5911yescharacteristic
1401C22×C4C24×C5911yescharacteristic
1402C22×C4C24×C5911yescharacteristic
1403C22×C4C24×C5911yescharacteristic
1404C22×C4C24×C5911yescharacteristic
1405C22×C4C24×C5911yescharacteristic
1406C22×C4C24×C5911yescharacteristic
1407C22×C4C24×C5911yescharacteristic
1408C22×C4C24×C5911yescharacteristic
1409C22×C4C24×C5911yescharacteristic
1410C22×C4C24×C5911yescharacteristic
1411C22×C4C24×C5911yescharacteristic
1412C22×C4C24×C5911yescharacteristic
1413C22×C4C24×C5911yescharacteristic
1414C22×C4C24×C5911yescharacteristic
1415C22×C4C24×C5911yescharacteristic
1416C22×C4C24×C5911yescharacteristic
1417C22×C4C24×C5911yescharacteristic
1418C22×C4C24×C5911yescharacteristic
1419C22×C4C24×C5911yescharacteristic
1420C22×C4C24×C5911yescharacteristic
1421C22×C4C24×C5911yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C42—41no—
1499C42—41no—
1500C42—41no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—28no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23—82no—
1570C23—82no—
1571C23C2×#41×C5912yes—
1572C23C2×#41×C5912yes—
1573C23C2×#41×C5912yes—
1574C23H(5,𝔽2)×C5912yes—
1575C23H(5,𝔽2)×C5912yes—
1576C23H(5,𝔽2)×C5912yes—
1577C23H(5,𝔽2)×C5912yes—
1578C23C25×C5911yescharacteristic
1579Q8—82no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—44no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—82no—
1593D4—82no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
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—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—82no—
1676C2×C4—82no—
1677C2×C4—82no—
1678C2×C4—82no—
1679C2×C4—82no—
1680C2×C4H(5,𝔽2)×C5912yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—88no—
1738C22—88no—
1739C22C59×#53814yes—
1740C22C22×#41×C5911yescharacteristic
1741C22C2×H(5,𝔽2)×C5911yescharacteristic
1742C22C2×H(5,𝔽2)×C5911yescharacteristic
1743C22C2×H(5,𝔽2)×C5911yescharacteristic
1744C22C2×H(5,𝔽2)×C5911yescharacteristic
1745C22C2×H(5,𝔽2)×C5911yescharacteristic
1746C22C59×#58511yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—42no—
1775C2—81no—
1776C2—81no—
1777C2—81no—
1778C2C2×C59×#53811yescharacteristic
1779C2C59×#349011yescharacteristic
1780C2C59×#350511yescharacteristic
1781C2C59×#353211yescharacteristic
1782C2C59×#353411yescharacteristic
1783C2C59×#353411yescharacteristic
1784C2C59×#353711yescharacteristic
subgroupG/H
center, socleC23×C59C25
commutator, Frattini, cosocleC23C25×C59
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#2849C2semidirect
2. C59×#2847C2semidirect
3. C59×#2778C2semidirect
4. C59×#2778C2semidirect
5. C59×#2760C2semidirect
6. C59×#2750C2semidirect
7. C59×#2749C2semidirect
8. C59×#2749C2semidirect
9. C59×#2743C2semidirect
10. C59×#2703C2semidirect
11. C59×#2697C2semidirect
12. C59×#2696C2semidirect
13. C59×#2688C2semidirect
14. C59×#2688C2semidirect
15. C59×#2684C2semidirect
16. C59×#2678C2semidirect
17. C59×#2676C2semidirect
18. C59×#2668C2semidirect
19. C59×#2643C2semidirect
20. C59×#2639C2semidirect
21. C59×#2510C2semidirect
22. C59×#2472C2semidirect
23. C59×#2444C2semidirect
24. C59×#2437C2semidirect
25. C59×#2424C2semidirect
26. C59×#2410C2semidirect
27. C59×#2410C2semidirect
28. C59×#2403C2semidirect
29. C59×#2321C2semidirect
30. C59×#2308C2semidirect
31. C2×C59×#386C2semidirect
34. C24×C4×C59C22semidirect
35. C2×#124×C59C22semidirect
36. C2×#123×C59C22semidirect
37. C2×#123×C59C22semidirect
38. C2×C22⋊Q8×C59C22semidirect
39. C2×C22⋊Q8×C59C22semidirect
42. C2×#121×C59C22semidirect
43. C2×#121×C59C22semidirect
44. C2×#121×C59C22semidirect
45. C2×#121×C59C22semidirect
46. C2×#121×C59C22semidirect
52. C2×#120×C59C22semidirect
53. C2×#120×C59C22semidirect
54. C2×C4×D4×C59C22semidirect
58. C22×C22⋊C4×C59C22semidirect
59. C59×#401C22semidirect
60. C59×#401C22semidirect
61. C59×#400C22semidirect
62. C59×#400C22semidirect
63. C59×#400C22semidirect
64. C59×#400C22semidirect
65. C59×#400C22semidirect
66. C59×#400C22semidirect
67. C59×#400C22semidirect
68. C59×#399C22semidirect
69. C59×#397C22semidirect
70. C59×#397C22semidirect
71. C59×#397C22semidirect
72. C59×#397C22semidirect
73. C59×#397C22semidirect
74. C59×#397C22semidirect
75. C59×#397C22semidirect
76. C59×#397C22semidirect
77. C59×#397C22semidirect
78. C59×#397C22semidirect
79. C59×#396C22semidirect
80. C59×#396C22semidirect
81. C59×#396C22semidirect
82. C59×#396C22semidirect
85. C59×#394C22semidirect
86. C59×#394C22semidirect
87. C59×#394C22semidirect
88. C59×#394C22semidirect
89. C59×#394C22semidirect
90. C59×#394C22semidirect
91. C59×#394C22semidirect
92. C59×#394C22semidirect
93. C59×#394C22semidirect
94. C59×#393C22semidirect
95. C59×#393C22semidirect
96. C59×#393C22semidirect
97. C59×#393C22semidirect
104. C59×#392C22semidirect
105. C59×#392C22semidirect
106. C59×#392C22semidirect
107. C59×#390C22semidirect
108. C59×#390C22semidirect
109. C59×#390C22semidirect
110. C59×#390C22semidirect
111. C59×#388C22semidirect
112. C59×#388C22semidirect
113. C59×#388C22semidirect
114. C59×#388C22semidirect
115. C59×#388C22semidirect
116. C59×#388C22semidirect
117. C59×#388C22semidirect
118. C59×#388C22semidirect
119. C59×#388C22semidirect
120. C59×#388C22semidirect
121. C59×#387C22semidirect
122. C59×#387C22semidirect
137. C59×#386C22semidirect
138. C59×#386C22semidirect
139. C59×#386C22semidirect
140. C59×#386C22semidirect
141. C59×#386C22semidirect
142. C59×#386C22semidirect
143. C59×#386C22semidirect
144. C59×#386C22semidirect
145. C59×#386C22semidirect
146. C59×#386C22semidirect
147. C59×#386C22semidirect
148. C59×#386C22semidirect
149. C59×#386C22semidirect
150. C59×#386C22semidirect
151. C59×#386C22semidirect
152. C59×#386C22semidirect
153. C59×#386C22semidirect
154. C59×#386C22semidirect
155. C59×#386C22semidirect
156. C59×#386C22semidirect
157. C59×#386C22semidirect
158. C59×#386C22semidirect
159. C59×#386C22semidirect
160. C59×#385C22semidirect
161. C59×#385C22semidirect
162. C59×#385C22semidirect
163. C59×#385C22semidirect
164. C59×#385C22semidirect
165. C59×#385C22semidirect
166. C59×#385C22semidirect
167. C59×#385C22semidirect
168. C59×#385C22semidirect
169. C59×#383C22semidirect
170. C59×#381C22semidirect
171. C59×#381C22semidirect
172. C59×#381C22semidirect
173. C59×#381C22semidirect
174. C59×#381C22semidirect
175. C59×#380C22semidirect
176. C59×#380C22semidirect
177. C59×#380C22semidirect
178. C59×#380C22semidirect
180. C59×#379C22semidirect
181. C59×#379C22semidirect
182. C59×#379C22semidirect
183. C59×#379C22semidirect
184. C4×C22⋊C4×C59C22semidirect
185. C2×#95×C59C22semidirect
186. C2×#95×C59C22semidirect
788. #36776C59direct (N × H)
878. #2849C2×C59semidirect
879. #2847C2×C59semidirect
880. #2778C2×C59semidirect
881. #2778C2×C59semidirect
882. #2760C2×C59semidirect
883. #2750C2×C59semidirect
884. #2749C2×C59semidirect
885. #2749C2×C59semidirect
886. #2743C2×C59semidirect
887. #2703C2×C59semidirect
888. #2697C2×C59semidirect
889. #2696C2×C59semidirect
890. #2688C2×C59semidirect
891. #2688C2×C59semidirect
892. #2684C2×C59semidirect
893. #2678C2×C59semidirect
894. #2676C2×C59semidirect
895. #2668C2×C59semidirect
896. #2643C2×C59semidirect
897. #2639C2×C59semidirect
898. #2510C2×C59semidirect
899. #2472C2×C59semidirect
900. #2444C2×C59semidirect
901. #2437C2×C59semidirect
902. #2424C2×C59semidirect
903. #2410C2×C59semidirect
904. #2410C2×C59semidirect
905. #2403C2×C59semidirect
906. #2321C2×C59semidirect
907. #2308C2×C59semidirect
908. C2×#386C2×C59semidirect
926. C24×C4C22×C59semidirect
927. C2×#124C22×C59semidirect
928. C2×#123C22×C59semidirect
929. C2×#123C22×C59semidirect
930. C2×C22⋊Q8C22×C59semidirect
931. C2×C22⋊Q8C22×C59semidirect
934. C2×#121C22×C59semidirect
935. C2×#121C22×C59semidirect
936. C2×#121C22×C59semidirect
937. C2×#121C22×C59semidirect
938. C2×#121C22×C59semidirect
944. C2×#120C22×C59semidirect
945. C2×#120C22×C59semidirect
946. C2×C4×D4C22×C59semidirect
950. C22×C22⋊C4C22×C59semidirect
951. #401C22×C59semidirect
952. #401C22×C59semidirect
953. #400C22×C59semidirect
954. #400C22×C59semidirect
955. #400C22×C59semidirect
956. #400C22×C59semidirect
957. #400C22×C59semidirect
958. #400C22×C59semidirect
959. #400C22×C59semidirect
960. #399C22×C59semidirect
961. #397C22×C59semidirect
962. #397C22×C59semidirect
963. #397C22×C59semidirect
964. #397C22×C59semidirect
965. #397C22×C59semidirect
966. #397C22×C59semidirect
967. #397C22×C59semidirect
968. #397C22×C59semidirect
969. #397C22×C59semidirect
970. #397C22×C59semidirect
971. #396C22×C59semidirect
972. #396C22×C59semidirect
973. #396C22×C59semidirect
974. #396C22×C59semidirect
977. #394C22×C59semidirect
978. #394C22×C59semidirect
979. #394C22×C59semidirect
980. #394C22×C59semidirect
981. #394C22×C59semidirect
982. #394C22×C59semidirect
983. #394C22×C59semidirect
984. #394C22×C59semidirect
985. #394C22×C59semidirect
986. #393C22×C59semidirect
987. #393C22×C59semidirect
988. #393C22×C59semidirect
989. #393C22×C59semidirect
996. #392C22×C59semidirect
997. #392C22×C59semidirect
998. #392C22×C59semidirect
999. #390C22×C59semidirect
1000. #390C22×C59semidirect
1001. #390C22×C59semidirect
1002. #390C22×C59semidirect
1003. #388C22×C59semidirect
1004. #388C22×C59semidirect
1005. #388C22×C59semidirect
1006. #388C22×C59semidirect
1007. #388C22×C59semidirect
1008. #388C22×C59semidirect
1009. #388C22×C59semidirect
1010. #388C22×C59semidirect
1011. #388C22×C59semidirect
1012. #388C22×C59semidirect
1013. #387C22×C59semidirect
1014. #387C22×C59semidirect
1029. #386C22×C59semidirect
1030. #386C22×C59semidirect
1031. #386C22×C59semidirect
1032. #386C22×C59semidirect
1033. #386C22×C59semidirect
1034. #386C22×C59semidirect
1035. #386C22×C59semidirect
1036. #386C22×C59semidirect
1037. #386C22×C59semidirect
1038. #386C22×C59semidirect
1039. #386C22×C59semidirect
1040. #386C22×C59semidirect
1041. #386C22×C59semidirect
1042. #386C22×C59semidirect
1043. #386C22×C59semidirect
1044. #386C22×C59semidirect
1045. #386C22×C59semidirect
1046. #386C22×C59semidirect
1047. #386C22×C59semidirect
1048. #386C22×C59semidirect
1049. #386C22×C59semidirect
1050. #386C22×C59semidirect
1051. #386C22×C59semidirect
1052. #385C22×C59semidirect
1053. #385C22×C59semidirect
1054. #385C22×C59semidirect
1055. #385C22×C59semidirect
1056. #385C22×C59semidirect
1057. #385C22×C59semidirect
1058. #385C22×C59semidirect
1059. #385C22×C59semidirect
1060. #385C22×C59semidirect
1061. #383C22×C59semidirect
1062. #381C22×C59semidirect
1063. #381C22×C59semidirect
1064. #381C22×C59semidirect
1065. #381C22×C59semidirect
1066. #381C22×C59semidirect
1067. #380C22×C59semidirect
1068. #380C22×C59semidirect
1069. #380C22×C59semidirect
1070. #380C22×C59semidirect
1072. #379C22×C59semidirect
1073. #379C22×C59semidirect
1074. #379C22×C59semidirect
1075. #379C22×C59semidirect
1076. C4×C22⋊C4C22×C59semidirect
1077. C2×#95C22×C59semidirect
1078. C2×#95C22×C59semidirect
1079. C59#36776direct (N × H)

Maximal subgroups

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

subgroupindex
C59×#28492
C59×#28472
C59×#27782
C59×#27602
C59×#27502
C59×#27492
C59×#27432
C59×#27032
C59×#26972
C59×#26962
C59×#26882
C59×#26842
C59×#26782
C59×#26762
C59×#26682
C59×#26432
C59×#26392
C59×#25102
C59×#24722
C59×#24442
C59×#24372
C59×#24242
C59×#24102
C59×#24032
C59×#23212
C59×#23082
C2×C59×#3862
#3677659