Finite Group Databasebeta

← C59×#36744 #28448853

Subgroups — C59×#36744 #28448853

Order 15104.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#540C211yesmaximal, characteristic, complemented
2C2×C59×#538C211yesmaximal, characteristic, complemented
3C59×#2856C211yesmaximal, characteristic, complemented
4C59×#2854C211yesmaximal, characteristic, complemented
5C59×#2721C211yesmaximal, characteristic, complemented
6C59×#2714C211yesmaximal, characteristic, complemented
7C59×#2694C211yesmaximal, characteristic, complemented
8C59×#2681C211yesmaximal, characteristic, complemented
9C59×#2680C211yesmaximal, characteristic, complemented
10C59×#2678C211yesmaximal, characteristic, complemented
11C59×#2676C211yesmaximal, characteristic, complemented
12C59×#2675C211yesmaximal, characteristic, complemented
13C59×#2673C211yesmaximal, characteristic, complemented
14C59×#2673C211yesmaximal, characteristic, complemented
15C59×#2672C211yesmaximal, characteristic, complemented
16C59×#2671C211yesmaximal, characteristic, complemented
17C59×#2671C211yesmaximal, characteristic, complemented
18C59×#2669C211yesmaximal, characteristic, complemented
19C59×#2669C211yesmaximal, characteristic, complemented
20C59×#2668C211yesmaximal, characteristic, complemented
21C59×#2661C211yesmaximal, characteristic, complemented
22C59×#2661C211yesmaximal, characteristic, complemented
23C59×#2610C211yesmaximal, characteristic, complemented
24C59×#2603C211yesmaximal, characteristic, complemented
25C59×#2602C211yesmaximal, characteristic, complemented
26C59×#2601C211yesmaximal, characteristic, complemented
27C59×#2540C211yesmaximal, characteristic, complemented
28C59×#2539C211yesmaximal, characteristic, complemented
29C59×#2414C211yesmaximal, characteristic, complemented
30C59×#2411C211yesmaximal, characteristic, complemented
31C59×#2290C211yesmaximal, characteristic, complemented
32C59×#540—28no—
33C59×#538—28no—
34C2×#127×C59C2211yescharacteristic
35C2×#127×C59C2211yescharacteristic
36C2×#126×C59C2211yescharacteristic
37C2×#126×C59C2211yescharacteristic
38C2×#125×C59C2211yescharacteristic, complemented
39C2×#124×C59C2211yescharacteristic
40C2×#124×C59C2211yescharacteristic
41C2×#123×C59C2211yescharacteristic
42C2×#123×C59C2211yescharacteristic
43C2×#123×C59C2211yescharacteristic
44C2×#123×C59C2211yescharacteristic
45C2×#123×C59C2211yescharacteristic
46C2×#123×C59C2211yescharacteristic
47C2×#123×C59C2211yescharacteristic, complemented
48C2×#123×C59C2211yescharacteristic, complemented
49C2×C22⋊Q8×C59C2211yescharacteristic
50C2×C22⋊Q8×C59C2211yescharacteristic, complemented
51C2×C22⋊Q8×C59C2211yescharacteristic, complemented
52C2×#121×C59C2211yescharacteristic
53C2×#121×C59C2211yescharacteristic
54C2×#121×C59C2211yescharacteristic
55C2×#121×C59C2211yescharacteristic
56C2×#121×C59C2211yescharacteristic
57C2×#121×C59C2211yescharacteristic
58C2×#121×C59C2211yescharacteristic
59C2×#121×C59C2211yescharacteristic
60C2×#121×C59C2211yescharacteristic
61C2×#121×C59C2211yescharacteristic
62C2×#121×C59C2211yescharacteristic
63C2×#121×C59C2211yescharacteristic, complemented
64C2×#121×C59C2211yescharacteristic, complemented
65C2×#121×C59C2211yescharacteristic, complemented
66C2×#121×C59C2211yescharacteristic, complemented
67C2×#121×C59C2211yescharacteristic, complemented
68C2×#121×C59C2211yescharacteristic, complemented
69C2×#120×C59C2211yescharacteristic
70C2×#120×C59C2211yescharacteristic
71C2×#120×C59C2211yescharacteristic
72C2×#120×C59C2211yescharacteristic
73C2×#120×C59C2211yescharacteristic
74C2×C4×D4×C59C2211yescharacteristic
75C2×C4×D4×C59C2211yescharacteristic
76C2×C4×D4×C59C2211yescharacteristic, complemented
77C2×#117×C59C2211yescharacteristic
78C2×#117×C59C2211yescharacteristic, complemented
79C22×C22⋊C4×C59C2211yescharacteristic
80C22×C42×C59C2211yescharacteristic, complemented
81C59×#399C2211yescharacteristic
82C59×#399C2211yescharacteristic
83C59×#399C2211yescharacteristic
84C59×#399C2211yescharacteristic, complemented
85C59×#398C2211yescharacteristic, complemented
86C59×#398C2211yescharacteristic, complemented
87C59×#398C2211yescharacteristic, complemented
88C59×#398C2211yescharacteristic, complemented
89C59×#397C2211yescharacteristic
90C59×#397C2211yescharacteristic
91C59×#397C2211yescharacteristic
92C59×#397C2211yescharacteristic, complemented
93C59×#396C2211yescharacteristic
94C59×#396C2211yescharacteristic
95C59×#396C2211yescharacteristic
96C59×#396C2211yescharacteristic, complemented
97C59×#395C2211yescharacteristic, complemented
98C59×#394C2211yescharacteristic
99C59×#394C2211yescharacteristic
100C59×#394C2211yescharacteristic
101C59×#394C2211yescharacteristic
102C59×#394C2211yescharacteristic
103C59×#394C2211yescharacteristic
104C59×#394C2211yescharacteristic
105C59×#394C2211yescharacteristic
106C59×#394C2211yescharacteristic
107C59×#394C2211yescharacteristic
108C59×#394C2211yescharacteristic, complemented
109C59×#394C2211yescharacteristic, complemented
110C59×#394C2211yescharacteristic, complemented
111C59×#394C2211yescharacteristic, complemented
112C59×#394C2211yescharacteristic, complemented
113C59×#393C2211yescharacteristic, complemented
114C59×#392C2211yescharacteristic
115C59×#392C2211yescharacteristic
116C59×#392C2211yescharacteristic
117C59×#392C2211yescharacteristic
118C59×#392C2211yescharacteristic
119C59×#392C2211yescharacteristic
120C59×#392C2211yescharacteristic
121C59×#392C2211yescharacteristic
122C59×#392C2211yescharacteristic
123C59×#392C2211yescharacteristic
124C59×#392C2211yescharacteristic
125C59×#392C2211yescharacteristic
126C59×#392C2211yescharacteristic
127C59×#392C2211yescharacteristic, complemented
128C59×#392C2211yescharacteristic, complemented
129C59×#390C2211yescharacteristic
130C59×#390C2211yescharacteristic
131C59×#390C2211yescharacteristic
132C59×#390C2211yescharacteristic
133C59×#390C2211yescharacteristic
134C59×#390C2211yescharacteristic
135C59×#390C2211yescharacteristic
136C59×#390C2211yescharacteristic
137C59×#390C2211yescharacteristic, complemented
138C59×#390C2211yescharacteristic, complemented
139C59×#390C2211yescharacteristic, complemented
140C59×#390C2211yescharacteristic, complemented
141C59×#390C2211yescharacteristic, complemented
142C59×#389C2211yescharacteristic, complemented
143C59×#389C2211yescharacteristic, complemented
144C59×#389C2211yescharacteristic, complemented
145C59×#388C2211yescharacteristic
146C59×#388C2211yescharacteristic
147C59×#388C2211yescharacteristic
148C59×#388C2211yescharacteristic
149C59×#388C2211yescharacteristic
150C59×#388C2211yescharacteristic
151C59×#388C2211yescharacteristic
152C59×#388C2211yescharacteristic, complemented
153C59×#388C2211yescharacteristic, complemented
154C59×#388C2211yescharacteristic, complemented
155C59×#388C2211yescharacteristic, complemented
156C59×#388C2211yescharacteristic, complemented
157C59×#388C2211yescharacteristic, complemented
158C59×#388C2211yescharacteristic, complemented
159C59×#387C2211yescharacteristic, complemented
160C59×#387C2211yescharacteristic, complemented
161C59×#387C2211yescharacteristic, complemented
162C59×#387C2211yescharacteristic, complemented
163C59×#386C2211yescharacteristic
164C59×#386C2211yescharacteristic
165C59×#386C2211yescharacteristic
166C59×#386C2211yescharacteristic
167C59×#386C2211yescharacteristic
168C59×#386C2211yescharacteristic
169C59×#386C2211yescharacteristic
170C59×#386C2211yescharacteristic
171C59×#386C2211yescharacteristic, complemented
172C59×#386C2211yescharacteristic, complemented
173C59×#386C2211yescharacteristic, complemented
174C59×#385C2211yescharacteristic
175C59×#385C2211yescharacteristic, complemented
176C59×#385C2211yescharacteristic, complemented
177C59×#385C2211yescharacteristic, complemented
178C59×#385C2211yescharacteristic, complemented
179C59×#385C2211yescharacteristic, complemented
180C59×#385C2211yescharacteristic, complemented
181C59×#384C2211yescharacteristic, complemented
182C59×#380C2211yescharacteristic, complemented
183C59×#380C2211yescharacteristic, complemented
184C59×#379C2211yescharacteristic
185C4×C4⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C59×#376C2211yescharacteristic, complemented
189C25×C59C2311yescharacteristic
190C22×Q8×C59C2311yescharacteristic
191C22×D4×C59C2311yescharacteristic
192C22×D4×C59C2311yescharacteristic
193C22×D4×C59C2311yescharacteristic
194C22×D4×C59C2311yescharacteristic
195C22×D4×C59C2311yescharacteristic
196C22×D4×C59C2311yescharacteristic
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×C59C2311yescharacteristic
217C23×C4×C59C2311yescharacteristic
218C23×C4×C59C2311yescharacteristic
219C23×C4×C59C2311yescharacteristic
220C23×C4×C59C2311yescharacteristic
221C23×C4×C59C2311yescharacteristic
222C23×C4×C59C2311yescharacteristic
223C23×C4×C59C2311yescharacteristic
224C23×C4×C59C2311yescharacteristic
225#127×C59—24no—
226#127×C59—42no—
227#126×C59—24no—
228#126×C59—24no—
229#125×C59—24no—
230#124×C59—24no—
231#124×C59—24no—
232#123×C59—24no—
233#123×C59—24no—
234#123×C59—24no—
235#123×C59—24no—
236#123×C59—24no—
237#123×C59—24no—
238#123×C59—42no—
239#123×C59—42no—
240C22⋊Q8×C59—24no—
241C22⋊Q8×C59—42no—
242C22⋊Q8×C59—42no—
243#121×C59—24no—
244#121×C59—24no—
245#121×C59—24no—
246#121×C59—24no—
247#121×C59—24no—
248#121×C59—24no—
249#121×C59—24no—
250#121×C59—24no—
251#121×C59—24no—
252#121×C59—42no—
253#121×C59—42no—
254#121×C59—42no—
255#121×C59—42no—
256#121×C59—42no—
257#121×C59—42no—
258#121×C59—42no—
259#121×C59—42no—
260#120×C59—24no—
261#120×C59—24no—
262#120×C59—42no—
263#120×C59—42no—
264#120×C59—42no—
265C4×D4×C59—24no—
266C4×D4×C59—24no—
267C4×D4×C59D418yescomplemented
268#117×C59—24no—
269#117×C59—42no—
270C2×C4⋊C4×C59C2311yescharacteristic
271C2×C4⋊C4×C59C2311yescharacteristic
272C2×C4⋊C4×C59C2311yescharacteristic
273C2×C4⋊C4×C59C2311yescharacteristic
274C2×C4⋊C4×C59C2311yescharacteristic
275C2×C4⋊C4×C59C2311yescharacteristic
276C2×C4⋊C4×C59C2311yescharacteristic
277C2×C4⋊C4×C59C2311yescharacteristic
278C2×C4⋊C4×C59C2311yescharacteristic
279C2×C4⋊C4×C59C2311yescharacteristic
280C2×C4⋊C4×C59C2311yescharacteristic
281C2×C4⋊C4×C59C2311yescharacteristic
282C2×C4⋊C4×C59C2311yescharacteristic
283C2×C4⋊C4×C59C2311yescharacteristic
284C2×C4⋊C4×C59C2311yescharacteristic
285C2×C4⋊C4×C59C2311yescharacteristic
286C2×C4⋊C4×C59C2311yescharacteristic
287C2×C4⋊C4×C59C2311yescharacteristic
288C2×C4⋊C4×C59C2311yescharacteristic
289C2×C4⋊C4×C59C2311yescharacteristic
290C2×C4⋊C4×C59C2311yescharacteristic
291C2×C4⋊C4×C59C2311yescharacteristic
292C2×C4⋊C4×C59C2311yescharacteristic
293C2×C4⋊C4×C59C2311yescharacteristic
294C2×C4⋊C4×C59C2311yescharacteristic
295C2×C4⋊C4×C59C2311yescharacteristic
296C2×C4⋊C4×C59C2311yescharacteristic
297C2×C4⋊C4×C59C2311yescharacteristic
298C2×C22⋊C4×C59—24no—
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×C22⋊C4×C59C2311yescharacteristic
333C2×C22⋊C4×C59C2311yescharacteristic
334C2×C22⋊C4×C59C2311yescharacteristic
335C2×C22⋊C4×C59C2311yescharacteristic
336C2×C22⋊C4×C59C2311yescharacteristic
337C2×C22⋊C4×C59C2311yescharacteristic
338C2×C22⋊C4×C59C2311yescharacteristic
339C2×C22⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59C2311yescharacteristic
341C2×C22⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C42×C59—42no—
358C2×C42×C59C2311yescharacteristic
359C2×C42×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365C2×C42×C59C2311yescharacteristic
366C2×C42×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
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—41no—
393C24×C59—41no—
394C24×C59—41no—
395C24×C59—41no—
396C24×C59—41no—
397C24×C59—41no—
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C24×C59C2411yescharacteristic
402C24×C59C2411yescharacteristic
403C24×C59C2411yescharacteristic
404C24×C59C2411yescharacteristic
405C24×C59C2411yescharacteristic
406C2×Q8×C59—22no—
407C2×Q8×C59—41no—
408C2×Q8×C59—41no—
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—41no—
430C2×D4×C59—41no—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
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—41no—
465C2×D4×C59—41no—
466C2×D4×C59—41no—
467C2×D4×C59—41no—
468C2×D4×C59—41no—
469C2×D4×C59—41no—
470C2×D4×C59—41no—
471C2×D4×C59—41no—
472C2×D4×C59—41no—
473C2×D4×C59—41no—
474C2×D4×C59—41no—
475C2×D4×C59—41no—
476C2×D4×C59—41no—
477C2×D4×C59—41no—
478C2×D4×C59—41no—
479C2×D4×C59—41no—
480C2×D4×C59—41no—
481C2×D4×C59—41no—
482C2×D4×C59—41no—
483C2×D4×C59C2×D414yes—
484C22×C4×C59—22no—
485C22×C4×C59—22no—
486C22×C4×C59—22no—
487C22×C4×C59—22no—
488C22×C4×C59—22no—
489C22×C4×C59—22no—
490C22×C4×C59—22no—
491C22×C4×C59—22no—
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—41no—
506C22×C4×C59—41no—
507C22×C4×C59—41no—
508C22×C4×C59—41no—
509C22×C4×C59C2×D414yes—
510C22×C4×C59C2×D414yes—
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
529C22×C4×C59C2411yescharacteristic
530C22×C4×C59C2411yescharacteristic
531C22×C4×C59C2411yescharacteristic
532C22×C4×C59C2411yescharacteristic
533C22×C4×C59C2411yescharacteristic
534C4⋊C4×C59—22no—
535C4⋊C4×C59—22no—
536C4⋊C4×C59—22no—
537C4⋊C4×C59—22no—
538C4⋊C4×C59—22no—
539C4⋊C4×C59—22no—
540C4⋊C4×C59—22no—
541C4⋊C4×C59—22no—
542C4⋊C4×C59—22no—
543C4⋊C4×C59—22no—
544C4⋊C4×C59—22no—
545C4⋊C4×C59—22no—
546C4⋊C4×C59—22no—
547C4⋊C4×C59—22no—
548C4⋊C4×C59—22no—
549C4⋊C4×C59—22no—
550C4⋊C4×C59—22no—
551C4⋊C4×C59—22no—
552C4⋊C4×C59—41no—
553C4⋊C4×C59—41no—
554C4⋊C4×C59—41no—
555C4⋊C4×C59—41no—
556C4⋊C4×C59—41no—
557C4⋊C4×C59—41no—
558C4⋊C4×C59—41no—
559C4⋊C4×C59—41no—
560C4⋊C4×C59—41no—
561C4⋊C4×C59C2×D414yes—
562C22⋊C4×C59—22no—
563C22⋊C4×C59—22no—
564C22⋊C4×C59—22no—
565C22⋊C4×C59—22no—
566C22⋊C4×C59—22no—
567C22⋊C4×C59—22no—
568C22⋊C4×C59—22no—
569C22⋊C4×C59—22no—
570C22⋊C4×C59—22no—
571C22⋊C4×C59—22no—
572C22⋊C4×C59—22no—
573C22⋊C4×C59—22no—
574C22⋊C4×C59—22no—
575C22⋊C4×C59—22no—
576C22⋊C4×C59—22no—
577C22⋊C4×C59—22no—
578C22⋊C4×C59—22no—
579C22⋊C4×C59—22no—
580C22⋊C4×C59—22no—
581C22⋊C4×C59—22no—
582C22⋊C4×C59—22no—
583C22⋊C4×C59—22no—
584C22⋊C4×C59—22no—
585C22⋊C4×C59—22no—
586C22⋊C4×C59—22no—
587C22⋊C4×C59—22no—
588C22⋊C4×C59—22no—
589C22⋊C4×C59—22no—
590C22⋊C4×C59—22no—
591C22⋊C4×C59—22no—
592C22⋊C4×C59—22no—
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—
605C22⋊C4×C59—41no—
606C22⋊C4×C59—41no—
607C22⋊C4×C59—41no—
608C22⋊C4×C59—41no—
609C22⋊C4×C59—41no—
610C22⋊C4×C59—41no—
611C22⋊C4×C59—41no—
612C22⋊C4×C59—41no—
613C22⋊C4×C59—41no—
614C22⋊C4×C59—41no—
615C22⋊C4×C59—41no—
616C22⋊C4×C59—41no—
617C22⋊C4×C59—41no—
618C22⋊C4×C59C2×D414yes—
619C22⋊C4×C59C2×D414yes—
620C42×C59—22no—
621C42×C59—22no—
622C42×C59—22no—
623C42×C59—22no—
624C42×C59—41no—
625C42×C59—41no—
626C42×C59—41no—
627C42×C59—41no—
628C42×C59C2×D414yes—
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—21no—
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—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—21no—
665C23×C59—21no—
666C23×C59—21no—
667C23×C59—21no—
668C23×C59—21no—
669C23×C59—21no—
670C23×C59—21no—
671C23×C59—21no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59—21no—
675C23×C59—21no—
676C23×C59—21no—
677C23×C59—21no—
678C23×C59—21no—
679C23×C59—21no—
680C23×C59—21no—
681C23×C59—21no—
682C23×C59—21no—
683C23×C59—44no—
684C23×C59—82no—
685C23×C59—82no—
686C23×C59—82no—
687C23×C59—82no—
688C23×C59—82no—
689C23×C59—82no—
690C23×C59C22×D412yes—
691C23×C59C22×D412yes—
692C23×C59C2511yescharacteristic
693Q8×C59—82no—
694D4×C59—44no—
695D4×C59—44no—
696D4×C59—44no—
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—
706D4×C59—82no—
707D4×C59—82no—
708D4×C59—82no—
709D4×C59—82no—
710D4×C59—82no—
711D4×C59—82no—
712D4×C59—82no—
713D4×C59—82no—
714D4×C59—82no—
715D4×C59—82no—
716D4×C59—82no—
717D4×C59—82no—
718D4×C59—82no—
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—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—44no—
781C2×C4×C59—44no—
782C2×C4×C59—44no—
783C2×C4×C59—44no—
784C2×C4×C59—44no—
785C2×C4×C59—82no—
786C2×C4×C59—82no—
787C2×C4×C59—82no—
788C2×C4×C59—82no—
789C2×C4×C59C22×D412yes—
790C2×C4×C59C22×D412yes—
791C2×C4×C59C22×D412yes—
792C2×C4×C59C22×D412yes—
793C2×C4×C59C22×D412yes—
794C2×C4×C59H(5,𝔽2)12yes—
795C2×C4×C59H(5,𝔽2)12yes—
796C2×C4×C59H(5,𝔽2)12yes—
797#36744C5911yesmaximal, characteristic, direct product factor, Sylow
798C22×C59—22no—
799C22×C59—22no—
800C22×C59—22no—
801C22×C59—22no—
802C22×C59—22no—
803C22×C59—22no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
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—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—88no—
855C22×C59C23×D411yescharacteristic
856C22×C59C2×H(5,𝔽2)11yescharacteristic
857C22×C59C2×H(5,𝔽2)11yescharacteristic
858C22×C59C2×H(5,𝔽2)11yescharacteristic
859C22×C59#58511yescharacteristic
860C22×C59#58511yescharacteristic
861C22×C59#58511yescharacteristic
862C4×C59—22no—
863C4×C59—22no—
864C4×C59—22no—
865C4×C59—22no—
866C4×C59—22no—
867C4×C59—22no—
868C4×C59—22no—
869C4×C59—22no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59—41no—
880C4×C59—41no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C2×#540C2×C5911yescharacteristic, complemented
886C2×#538C2×C5911yescharacteristic, complemented
887#2856C2×C5911yescharacteristic, complemented
888#2854C2×C5911yescharacteristic, complemented
889#2721C2×C5911yescharacteristic, complemented
890#2714C2×C5911yescharacteristic, complemented
891#2694C2×C5911yescharacteristic, complemented
892#2681C2×C5911yescharacteristic, complemented
893#2680C2×C5911yescharacteristic, complemented
894#2678C2×C5911yescharacteristic, complemented
895#2676C2×C5911yescharacteristic, complemented
896#2675C2×C5911yescharacteristic, complemented
897#2673C2×C5911yescharacteristic, complemented
898#2673C2×C5911yescharacteristic, complemented
899#2672C2×C5911yescharacteristic, complemented
900#2671C2×C5911yescharacteristic, complemented
901#2671C2×C5911yescharacteristic, complemented
902#2669C2×C5911yescharacteristic, complemented
903#2669C2×C5911yescharacteristic, complemented
904#2668C2×C5911yescharacteristic, complemented
905#2661C2×C5911yescharacteristic, complemented
906#2661C2×C5911yescharacteristic, complemented
907#2610C2×C5911yescharacteristic, complemented
908#2603C2×C5911yescharacteristic, complemented
909#2602C2×C5911yescharacteristic, complemented
910#2601C2×C5911yescharacteristic, complemented
911#2540C2×C5911yescharacteristic, complemented
912#2539C2×C5911yescharacteristic, complemented
913#2414C2×C5911yescharacteristic, complemented
914#2411C2×C5911yescharacteristic, complemented
915#2290C2×C5911yescharacteristic, complemented
916C2×C59—42no—
917C2×C59—42no—
918C2×C59—81no—
919C2×C59—81no—
920C2×C59—81no—
921C2×C59—81no—
922C2×C59—81no—
923C2×C59—81no—
924C2×C59#344911yescharacteristic
925C2×C59#349611yescharacteristic
926C2×C59#349811yescharacteristic
927C2×C59#353411yescharacteristic
928C2×C59#354211yescharacteristic
929C2×C59#355111yescharacteristic
930C2×C59#356211yescharacteristic
931#540—28no—
932#538—28no—
933C2×#127C22×C5911yescharacteristic
934C2×#127C22×C5911yescharacteristic
935C2×#126C22×C5911yescharacteristic
936C2×#126C22×C5911yescharacteristic
937C2×#125C22×C5911yescharacteristic, complemented
938C2×#124C22×C5911yescharacteristic
939C2×#124C22×C5911yescharacteristic
940C2×#123C22×C5911yescharacteristic
941C2×#123C22×C5911yescharacteristic
942C2×#123C22×C5911yescharacteristic
943C2×#123C22×C5911yescharacteristic
944C2×#123C22×C5911yescharacteristic
945C2×#123C22×C5911yescharacteristic
946C2×#123C22×C5911yescharacteristic, complemented
947C2×#123C22×C5911yescharacteristic, complemented
948C2×C22⋊Q8C22×C5911yescharacteristic
949C2×C22⋊Q8C22×C5911yescharacteristic, complemented
950C2×C22⋊Q8C22×C5911yescharacteristic, complemented
951C2×#121C22×C5911yescharacteristic
952C2×#121C22×C5911yescharacteristic
953C2×#121C22×C5911yescharacteristic
954C2×#121C22×C5911yescharacteristic
955C2×#121C22×C5911yescharacteristic
956C2×#121C22×C5911yescharacteristic
957C2×#121C22×C5911yescharacteristic
958C2×#121C22×C5911yescharacteristic
959C2×#121C22×C5911yescharacteristic
960C2×#121C22×C5911yescharacteristic
961C2×#121C22×C5911yescharacteristic
962C2×#121C22×C5911yescharacteristic, complemented
963C2×#121C22×C5911yescharacteristic, complemented
964C2×#121C22×C5911yescharacteristic, complemented
965C2×#121C22×C5911yescharacteristic, complemented
966C2×#121C22×C5911yescharacteristic, complemented
967C2×#121C22×C5911yescharacteristic, complemented
968C2×#120C22×C5911yescharacteristic
969C2×#120C22×C5911yescharacteristic
970C2×#120C22×C5911yescharacteristic
971C2×#120C22×C5911yescharacteristic
972C2×#120C22×C5911yescharacteristic
973C2×C4×D4C22×C5911yescharacteristic
974C2×C4×D4C22×C5911yescharacteristic
975C2×C4×D4C22×C5911yescharacteristic, complemented
976C2×#117C22×C5911yescharacteristic
977C2×#117C22×C5911yescharacteristic, complemented
978C22×C22⋊C4C22×C5911yescharacteristic
979C22×C42C22×C5911yescharacteristic, complemented
980#399C22×C5911yescharacteristic
981#399C22×C5911yescharacteristic
982#399C22×C5911yescharacteristic
983#399C22×C5911yescharacteristic, complemented
984#398C22×C5911yescharacteristic, complemented
985#398C22×C5911yescharacteristic, complemented
986#398C22×C5911yescharacteristic, complemented
987#398C22×C5911yescharacteristic, complemented
988#397C22×C5911yescharacteristic
989#397C22×C5911yescharacteristic
990#397C22×C5911yescharacteristic
991#397C22×C5911yescharacteristic, complemented
992#396C22×C5911yescharacteristic
993#396C22×C5911yescharacteristic
994#396C22×C5911yescharacteristic
995#396C22×C5911yescharacteristic, complemented
996#395C22×C5911yescharacteristic, complemented
997#394C22×C5911yescharacteristic
998#394C22×C5911yescharacteristic
999#394C22×C5911yescharacteristic
1000#394C22×C5911yescharacteristic
1001#394C22×C5911yescharacteristic
1002#394C22×C5911yescharacteristic
1003#394C22×C5911yescharacteristic
1004#394C22×C5911yescharacteristic
1005#394C22×C5911yescharacteristic
1006#394C22×C5911yescharacteristic
1007#394C22×C5911yescharacteristic, complemented
1008#394C22×C5911yescharacteristic, complemented
1009#394C22×C5911yescharacteristic, complemented
1010#394C22×C5911yescharacteristic, complemented
1011#394C22×C5911yescharacteristic, complemented
1012#393C22×C5911yescharacteristic, complemented
1013#392C22×C5911yescharacteristic
1014#392C22×C5911yescharacteristic
1015#392C22×C5911yescharacteristic
1016#392C22×C5911yescharacteristic
1017#392C22×C5911yescharacteristic
1018#392C22×C5911yescharacteristic
1019#392C22×C5911yescharacteristic
1020#392C22×C5911yescharacteristic
1021#392C22×C5911yescharacteristic
1022#392C22×C5911yescharacteristic
1023#392C22×C5911yescharacteristic
1024#392C22×C5911yescharacteristic
1025#392C22×C5911yescharacteristic
1026#392C22×C5911yescharacteristic, complemented
1027#392C22×C5911yescharacteristic, complemented
1028#390C22×C5911yescharacteristic
1029#390C22×C5911yescharacteristic
1030#390C22×C5911yescharacteristic
1031#390C22×C5911yescharacteristic
1032#390C22×C5911yescharacteristic
1033#390C22×C5911yescharacteristic
1034#390C22×C5911yescharacteristic
1035#390C22×C5911yescharacteristic
1036#390C22×C5911yescharacteristic, complemented
1037#390C22×C5911yescharacteristic, complemented
1038#390C22×C5911yescharacteristic, complemented
1039#390C22×C5911yescharacteristic, complemented
1040#390C22×C5911yescharacteristic, complemented
1041#389C22×C5911yescharacteristic, complemented
1042#389C22×C5911yescharacteristic, complemented
1043#389C22×C5911yescharacteristic, complemented
1044#388C22×C5911yescharacteristic
1045#388C22×C5911yescharacteristic
1046#388C22×C5911yescharacteristic
1047#388C22×C5911yescharacteristic
1048#388C22×C5911yescharacteristic
1049#388C22×C5911yescharacteristic
1050#388C22×C5911yescharacteristic
1051#388C22×C5911yescharacteristic, complemented
1052#388C22×C5911yescharacteristic, complemented
1053#388C22×C5911yescharacteristic, complemented
1054#388C22×C5911yescharacteristic, complemented
1055#388C22×C5911yescharacteristic, complemented
1056#388C22×C5911yescharacteristic, complemented
1057#388C22×C5911yescharacteristic, complemented
1058#387C22×C5911yescharacteristic, complemented
1059#387C22×C5911yescharacteristic, complemented
1060#387C22×C5911yescharacteristic, complemented
1061#387C22×C5911yescharacteristic, complemented
1062#386C22×C5911yescharacteristic
1063#386C22×C5911yescharacteristic
1064#386C22×C5911yescharacteristic
1065#386C22×C5911yescharacteristic
1066#386C22×C5911yescharacteristic
1067#386C22×C5911yescharacteristic
1068#386C22×C5911yescharacteristic
1069#386C22×C5911yescharacteristic
1070#386C22×C5911yescharacteristic, complemented
1071#386C22×C5911yescharacteristic, complemented
1072#386C22×C5911yescharacteristic, complemented
1073#385C22×C5911yescharacteristic
1074#385C22×C5911yescharacteristic, complemented
1075#385C22×C5911yescharacteristic, complemented
1076#385C22×C5911yescharacteristic, complemented
1077#385C22×C5911yescharacteristic, complemented
1078#385C22×C5911yescharacteristic, complemented
1079#385C22×C5911yescharacteristic, complemented
1080#384C22×C5911yescharacteristic, complemented
1081#380C22×C5911yescharacteristic, complemented
1082#380C22×C5911yescharacteristic, complemented
1083#379C22×C5911yescharacteristic
1084C4×C4⋊C4C22×C5911yescharacteristic, complemented
1085C4×C22⋊C4C22×C5911yescharacteristic
1086C4×C22⋊C4C22×C5911yescharacteristic, complemented
1087#376C22×C5911yescharacteristic, complemented
1088C59#3674411yescharacteristic, direct product factor, Sylow
1089C25C23×C5911yescharacteristic
1090C22×Q8C23×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
1109C22×D4C23×C5911yescharacteristic
1110C22×D4C23×C5911yescharacteristic
1111C22×D4C23×C5911yescharacteristic
1112C22×D4C23×C5911yescharacteristic
1113C22×D4C23×C5911yescharacteristic
1114C22×D4C23×C5911yescharacteristic
1115C22×D4C23×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#127—24no—
1126#127—42no—
1127#126—24no—
1128#126—24no—
1129#125—24no—
1130#124—24no—
1131#124—24no—
1132#123—24no—
1133#123—24no—
1134#123—24no—
1135#123—24no—
1136#123—24no—
1137#123—24no—
1138#123—42no—
1139#123—42no—
1140C22⋊Q8—24no—
1141C22⋊Q8—42no—
1142C22⋊Q8—42no—
1143#121—24no—
1144#121—24no—
1145#121—24no—
1146#121—24no—
1147#121—24no—
1148#121—24no—
1149#121—24no—
1150#121—24no—
1151#121—24no—
1152#121—42no—
1153#121—42no—
1154#121—42no—
1155#121—42no—
1156#121—42no—
1157#121—42no—
1158#121—42no—
1159#121—42no—
1160#120—24no—
1161#120—24no—
1162#120—42no—
1163#120—42no—
1164#120—42no—
1165C4×D4—24no—
1166C4×D4—24no—
1167C4×D4D4×C5918yescomplemented
1168#117—24no—
1169#117—42no—
1170C2×C4⋊C4C23×C5911yescharacteristic
1171C2×C4⋊C4C23×C5911yescharacteristic
1172C2×C4⋊C4C23×C5911yescharacteristic
1173C2×C4⋊C4C23×C5911yescharacteristic
1174C2×C4⋊C4C23×C5911yescharacteristic
1175C2×C4⋊C4C23×C5911yescharacteristic
1176C2×C4⋊C4C23×C5911yescharacteristic
1177C2×C4⋊C4C23×C5911yescharacteristic
1178C2×C4⋊C4C23×C5911yescharacteristic
1179C2×C4⋊C4C23×C5911yescharacteristic
1180C2×C4⋊C4C23×C5911yescharacteristic
1181C2×C4⋊C4C23×C5911yescharacteristic
1182C2×C4⋊C4C23×C5911yescharacteristic
1183C2×C4⋊C4C23×C5911yescharacteristic
1184C2×C4⋊C4C23×C5911yescharacteristic
1185C2×C4⋊C4C23×C5911yescharacteristic
1186C2×C4⋊C4C23×C5911yescharacteristic
1187C2×C4⋊C4C23×C5911yescharacteristic
1188C2×C4⋊C4C23×C5911yescharacteristic
1189C2×C4⋊C4C23×C5911yescharacteristic
1190C2×C4⋊C4C23×C5911yescharacteristic
1191C2×C4⋊C4C23×C5911yescharacteristic
1192C2×C4⋊C4C23×C5911yescharacteristic
1193C2×C4⋊C4C23×C5911yescharacteristic
1194C2×C4⋊C4C23×C5911yescharacteristic
1195C2×C4⋊C4C23×C5911yescharacteristic
1196C2×C4⋊C4C23×C5911yescharacteristic
1197C2×C4⋊C4C23×C5911yescharacteristic
1198C2×C22⋊C4—24no—
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×C22⋊C4C23×C5911yescharacteristic
1226C2×C22⋊C4C23×C5911yescharacteristic
1227C2×C22⋊C4C23×C5911yescharacteristic
1228C2×C22⋊C4C23×C5911yescharacteristic
1229C2×C22⋊C4C23×C5911yescharacteristic
1230C2×C22⋊C4C23×C5911yescharacteristic
1231C2×C22⋊C4C23×C5911yescharacteristic
1232C2×C22⋊C4C23×C5911yescharacteristic
1233C2×C22⋊C4C23×C5911yescharacteristic
1234C2×C22⋊C4C23×C5911yescharacteristic
1235C2×C22⋊C4C23×C5911yescharacteristic
1236C2×C22⋊C4C23×C5911yescharacteristic
1237C2×C22⋊C4C23×C5911yescharacteristic
1238C2×C22⋊C4C23×C5911yescharacteristic
1239C2×C22⋊C4C23×C5911yescharacteristic
1240C2×C22⋊C4C23×C5911yescharacteristic
1241C2×C22⋊C4C23×C5911yescharacteristic
1242C2×C22⋊C4C23×C5911yescharacteristic
1243C2×C22⋊C4C23×C5911yescharacteristic
1244C2×C22⋊C4C23×C5911yescharacteristic
1245C2×C22⋊C4C23×C5911yescharacteristic
1246C2×C22⋊C4C23×C5911yescharacteristic
1247C2×C22⋊C4C23×C5911yescharacteristic
1248C2×C22⋊C4C23×C5911yescharacteristic
1249C2×C22⋊C4C23×C5911yescharacteristic
1250C2×C22⋊C4C23×C5911yescharacteristic
1251C2×C22⋊C4C23×C5911yescharacteristic
1252C2×C22⋊C4C23×C5911yescharacteristic
1253C2×C22⋊C4C23×C5911yescharacteristic
1254C2×C22⋊C4C23×C5911yescharacteristic
1255C2×C22⋊C4C23×C5911yescharacteristic
1256C2×C22⋊C4C23×C5911yescharacteristic
1257C2×C42—42no—
1258C2×C42C23×C5911yescharacteristic
1259C2×C42C23×C5911yescharacteristic
1260C2×C42C23×C5911yescharacteristic
1261C2×C42C23×C5911yescharacteristic
1262C2×C42C23×C5911yescharacteristic
1263C2×C42C23×C5911yescharacteristic
1264C2×C42C23×C5911yescharacteristic
1265C2×C42C23×C5911yescharacteristic
1266C2×C42C23×C5911yescharacteristic
1267#95C23×C5911yescharacteristic
1268#95C23×C5911yescharacteristic
1269#95C23×C5911yescharacteristic
1270#95C23×C5911yescharacteristic
1271#95C23×C5911yescharacteristic
1272#95C23×C5911yescharacteristic
1273#95C23×C5911yescharacteristic
1274#95C23×C5911yescharacteristic
1275#95C23×C5911yescharacteristic
1276#95C23×C5911yescharacteristic
1277#95C23×C5911yescharacteristic
1278#95C23×C5911yescharacteristic
1279#95C23×C5911yescharacteristic
1280#95C23×C5911yescharacteristic
1281#95C23×C5911yescharacteristic
1282#95C23×C5911yescharacteristic
1283#95C23×C5911yescharacteristic
1284#95C23×C5911yescharacteristic
1285#95C23×C5911yescharacteristic
1286#95C23×C5911yescharacteristic
1287#95C23×C5911yescharacteristic
1288#95C23×C5911yescharacteristic
1289#95C23×C5911yescharacteristic
1290#95C23×C5911yescharacteristic
1291C24—22no—
1292C24—41no—
1293C24—41no—
1294C24—41no—
1295C24—41no—
1296C24—41no—
1297C24—41no—
1298C24C24×C5911yescharacteristic
1299C24C24×C5911yescharacteristic
1300C24C24×C5911yescharacteristic
1301C24C24×C5911yescharacteristic
1302C24C24×C5911yescharacteristic
1303C24C24×C5911yescharacteristic
1304C24C24×C5911yescharacteristic
1305C24C24×C5911yescharacteristic
1306C2×Q8—22no—
1307C2×Q8—41no—
1308C2×Q8—41no—
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—22no—
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—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4C2×D4×C5914yes—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—41no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4C2×D4×C5914yes—
1410C22×C4C2×D4×C5914yes—
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
1422C22×C4C24×C5911yescharacteristic
1423C22×C4C24×C5911yescharacteristic
1424C22×C4C24×C5911yescharacteristic
1425C22×C4C24×C5911yescharacteristic
1426C22×C4C24×C5911yescharacteristic
1427C22×C4C24×C5911yescharacteristic
1428C22×C4C24×C5911yescharacteristic
1429C22×C4C24×C5911yescharacteristic
1430C22×C4C24×C5911yescharacteristic
1431C22×C4C24×C5911yescharacteristic
1432C22×C4C24×C5911yescharacteristic
1433C22×C4C24×C5911yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4C2×D4×C5914yes—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4C2×D4×C5914yes—
1519C22⋊C4C2×D4×C5914yes—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—41no—
1525C42—41no—
1526C42—41no—
1527C42—41no—
1528C42C2×D4×C5914yes—
1529C23—21no—
1530C23—21no—
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—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—44no—
1584C23—82no—
1585C23—82no—
1586C23—82no—
1587C23—82no—
1588C23—82no—
1589C23—82no—
1590C23C22×D4×C5912yes—
1591C23C22×D4×C5912yes—
1592C23C25×C5911yescharacteristic
1593Q8—82no—
1594D4—44no—
1595D4—44no—
1596D4—44no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—82no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—82no—
1609D4—82no—
1610D4—82no—
1611D4—82no—
1612D4—82no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
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—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—82no—
1686C2×C4—82no—
1687C2×C4—82no—
1688C2×C4—82no—
1689C2×C4C22×D4×C5912yes—
1690C2×C4C22×D4×C5912yes—
1691C2×C4C22×D4×C5912yes—
1692C2×C4C22×D4×C5912yes—
1693C2×C4C22×D4×C5912yes—
1694C2×C4H(5,𝔽2)×C5912yes—
1695C2×C4H(5,𝔽2)×C5912yes—
1696C2×C4H(5,𝔽2)×C5912yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
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—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—88no—
1754C22C23×D4×C5911yescharacteristic
1755C22C2×H(5,𝔽2)×C5911yescharacteristic
1756C22C2×H(5,𝔽2)×C5911yescharacteristic
1757C22C2×H(5,𝔽2)×C5911yescharacteristic
1758C22C59×#58511yescharacteristic
1759C22C59×#58511yescharacteristic
1760C22C59×#58511yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—81no—
1790C2—81no—
1791C2—81no—
1792C2C59×#344911yescharacteristic
1793C2C59×#349611yescharacteristic
1794C2C59×#349811yescharacteristic
1795C2C59×#353411yescharacteristic
1796C2C59×#354211yescharacteristic
1797C2C59×#355111yescharacteristic
1798C2C59×#356211yescharacteristic
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. C2×C59×#540C2semidirect
2. C2×C59×#538C2semidirect
3. C59×#2856C2semidirect
4. C59×#2854C2semidirect
5. C59×#2721C2semidirect
6. C59×#2714C2semidirect
7. C59×#2694C2semidirect
8. C59×#2681C2semidirect
9. C59×#2680C2semidirect
10. C59×#2678C2semidirect
11. C59×#2676C2semidirect
12. C59×#2675C2semidirect
13. C59×#2673C2semidirect
14. C59×#2673C2semidirect
15. C59×#2672C2semidirect
16. C59×#2671C2semidirect
17. C59×#2671C2semidirect
18. C59×#2669C2semidirect
19. C59×#2669C2semidirect
20. C59×#2668C2semidirect
21. C59×#2661C2semidirect
22. C59×#2661C2semidirect
23. C59×#2610C2semidirect
24. C59×#2603C2semidirect
25. C59×#2602C2semidirect
26. C59×#2601C2semidirect
27. C59×#2540C2semidirect
28. C59×#2539C2semidirect
29. C59×#2414C2semidirect
30. C59×#2411C2semidirect
31. C59×#2290C2semidirect
38. C2×#125×C59C22semidirect
47. C2×#123×C59C22semidirect
48. C2×#123×C59C22semidirect
50. C2×C22⋊Q8×C59C22semidirect
51. C2×C22⋊Q8×C59C22semidirect
63. C2×#121×C59C22semidirect
64. C2×#121×C59C22semidirect
65. C2×#121×C59C22semidirect
66. C2×#121×C59C22semidirect
67. C2×#121×C59C22semidirect
68. C2×#121×C59C22semidirect
76. C2×C4×D4×C59C22semidirect
78. C2×#117×C59C22semidirect
80. C22×C42×C59C22semidirect
84. C59×#399C22semidirect
85. C59×#398C22semidirect
86. C59×#398C22semidirect
87. C59×#398C22semidirect
88. C59×#398C22semidirect
92. C59×#397C22semidirect
96. C59×#396C22semidirect
97. C59×#395C22semidirect
108. C59×#394C22semidirect
109. C59×#394C22semidirect
110. C59×#394C22semidirect
111. C59×#394C22semidirect
112. C59×#394C22semidirect
113. C59×#393C22semidirect
127. C59×#392C22semidirect
128. C59×#392C22semidirect
137. C59×#390C22semidirect
138. C59×#390C22semidirect
139. C59×#390C22semidirect
140. C59×#390C22semidirect
141. C59×#390C22semidirect
142. C59×#389C22semidirect
143. C59×#389C22semidirect
144. C59×#389C22semidirect
152. C59×#388C22semidirect
153. C59×#388C22semidirect
154. C59×#388C22semidirect
155. C59×#388C22semidirect
156. C59×#388C22semidirect
157. C59×#388C22semidirect
158. C59×#388C22semidirect
159. C59×#387C22semidirect
160. C59×#387C22semidirect
161. C59×#387C22semidirect
162. C59×#387C22semidirect
171. C59×#386C22semidirect
172. C59×#386C22semidirect
173. C59×#386C22semidirect
175. C59×#385C22semidirect
176. C59×#385C22semidirect
177. C59×#385C22semidirect
178. C59×#385C22semidirect
179. C59×#385C22semidirect
180. C59×#385C22semidirect
181. C59×#384C22semidirect
182. C59×#380C22semidirect
183. C59×#380C22semidirect
185. C4×C4⋊C4×C59C22semidirect
187. C4×C22⋊C4×C59C22semidirect
188. C59×#376C22semidirect
267. C4×D4×C59D4semidirect
797. #36744C59direct (N × H)
885. C2×#540C2×C59semidirect
886. C2×#538C2×C59semidirect
887. #2856C2×C59semidirect
888. #2854C2×C59semidirect
889. #2721C2×C59semidirect
890. #2714C2×C59semidirect
891. #2694C2×C59semidirect
892. #2681C2×C59semidirect
893. #2680C2×C59semidirect
894. #2678C2×C59semidirect
895. #2676C2×C59semidirect
896. #2675C2×C59semidirect
897. #2673C2×C59semidirect
898. #2673C2×C59semidirect
899. #2672C2×C59semidirect
900. #2671C2×C59semidirect
901. #2671C2×C59semidirect
902. #2669C2×C59semidirect
903. #2669C2×C59semidirect
904. #2668C2×C59semidirect
905. #2661C2×C59semidirect
906. #2661C2×C59semidirect
907. #2610C2×C59semidirect
908. #2603C2×C59semidirect
909. #2602C2×C59semidirect
910. #2601C2×C59semidirect
911. #2540C2×C59semidirect
912. #2539C2×C59semidirect
913. #2414C2×C59semidirect
914. #2411C2×C59semidirect
915. #2290C2×C59semidirect
937. C2×#125C22×C59semidirect
946. C2×#123C22×C59semidirect
947. C2×#123C22×C59semidirect
949. C2×C22⋊Q8C22×C59semidirect
950. C2×C22⋊Q8C22×C59semidirect
962. C2×#121C22×C59semidirect
963. C2×#121C22×C59semidirect
964. C2×#121C22×C59semidirect
965. C2×#121C22×C59semidirect
966. C2×#121C22×C59semidirect
967. C2×#121C22×C59semidirect
975. C2×C4×D4C22×C59semidirect
977. C2×#117C22×C59semidirect
979. C22×C42C22×C59semidirect
983. #399C22×C59semidirect
984. #398C22×C59semidirect
985. #398C22×C59semidirect
986. #398C22×C59semidirect
987. #398C22×C59semidirect
991. #397C22×C59semidirect
995. #396C22×C59semidirect
996. #395C22×C59semidirect
1007. #394C22×C59semidirect
1008. #394C22×C59semidirect
1009. #394C22×C59semidirect
1010. #394C22×C59semidirect
1011. #394C22×C59semidirect
1012. #393C22×C59semidirect
1026. #392C22×C59semidirect
1027. #392C22×C59semidirect
1036. #390C22×C59semidirect
1037. #390C22×C59semidirect
1038. #390C22×C59semidirect
1039. #390C22×C59semidirect
1040. #390C22×C59semidirect
1041. #389C22×C59semidirect
1042. #389C22×C59semidirect
1043. #389C22×C59semidirect
1051. #388C22×C59semidirect
1052. #388C22×C59semidirect
1053. #388C22×C59semidirect
1054. #388C22×C59semidirect
1055. #388C22×C59semidirect
1056. #388C22×C59semidirect
1057. #388C22×C59semidirect
1058. #387C22×C59semidirect
1059. #387C22×C59semidirect
1060. #387C22×C59semidirect
1061. #387C22×C59semidirect
1070. #386C22×C59semidirect
1071. #386C22×C59semidirect
1072. #386C22×C59semidirect
1074. #385C22×C59semidirect
1075. #385C22×C59semidirect
1076. #385C22×C59semidirect
1077. #385C22×C59semidirect
1078. #385C22×C59semidirect
1079. #385C22×C59semidirect
1080. #384C22×C59semidirect
1081. #380C22×C59semidirect
1082. #380C22×C59semidirect
1084. C4×C4⋊C4C22×C59semidirect
1086. C4×C22⋊C4C22×C59semidirect
1087. #376C22×C59semidirect
1088. C59#36744direct (N × H)
1167. C4×D4D4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#5402
C2×C59×#5382
C59×#28562
C59×#28542
C59×#27212
C59×#27142
C59×#26942
C59×#26812
C59×#26802
C59×#26782
C59×#26762
C59×#26752
C59×#26732
C59×#26722
C59×#26712
C59×#26692
C59×#26682
C59×#26612
C59×#26102
C59×#26032
C59×#26022
C59×#26012
C59×#25402
C59×#25392
C59×#24142
C59×#24112
C59×#22902
#3674459