Finite Group Databasebeta

← C59×#35681 #28447790

Subgroups — C59×#35681 #28447790

Order 15104.

3068 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#546C211yesmaximal, characteristic, complemented
2C2×C59×#518C211yesmaximal, characteristic, complemented
3C59×#2635C211yesmaximal, characteristic, complemented
4C59×#2630C211yesmaximal, characteristic, complemented
5C59×#2613C211yesmaximal, characteristic, complemented
6C59×#2602C211yesmaximal, characteristic, complemented
7C59×#2600C211yesmaximal, characteristic, complemented
8C59×#2464C211yesmaximal, characteristic, complemented
9C59×#2464C211yesmaximal, characteristic, complemented
10C59×#2461C211yesmaximal, characteristic, complemented
11C59×#2459C211yesmaximal, characteristic, complemented
12C59×#2457C211yesmaximal, characteristic, complemented
13C59×#2456C211yesmaximal, characteristic, complemented
14C59×#2456C211yesmaximal, characteristic, complemented
15C59×#2455C211yesmaximal, characteristic, complemented
16C59×#2438C211yesmaximal, characteristic, complemented
17C59×#2437C211yesmaximal, characteristic, complemented
18C59×#2414C211yesmaximal, characteristic, complemented
19C59×#2412C211yesmaximal, characteristic, complemented
20C59×#2411C211yesmaximal, characteristic, complemented
21C59×#2410C211yesmaximal, characteristic, complemented
22C59×#2407C211yesmaximal, characteristic, complemented
23C59×#2405C211yesmaximal, characteristic, complemented
24C59×#2392C211yesmaximal, characteristic, complemented
25C59×#2388C211yesmaximal, characteristic, complemented
26C2×C59×#392C211yesmaximal, characteristic, complemented
27C59×#2359C211yesmaximal, characteristic, complemented
28C59×#2358C211yesmaximal, characteristic, complemented
29C59×#2342C211yesmaximal, characteristic, complemented
30C59×#2342C211yesmaximal, characteristic, complemented
31D4×C22⋊C4×C59C211yesmaximal, characteristic, complemented
32C22×#41×C59C2211yescharacteristic, complemented
33C23×D4×C59C2211yescharacteristic
34C23×D4×C59C2211yescharacteristic
35C23×D4×C59C2211yescharacteristic
36C59×#546—28no—
37C2×#124×C59C2211yescharacteristic, complemented
38C2×#123×C59C2211yescharacteristic
39C2×#123×C59C2211yescharacteristic, complemented
40C2×#123×C59C2211yescharacteristic, complemented
41C2×#123×C59C2211yescharacteristic, complemented
42C2×#123×C59C2211yescharacteristic, complemented
43C2×#123×C59C2211yescharacteristic, complemented
44C2×C22⋊Q8×C59C2211yescharacteristic
45C2×C22⋊Q8×C59C2211yescharacteristic, complemented
46C2×#121×C59C2211yescharacteristic, complemented
47C2×#121×C59C2211yescharacteristic, complemented
48C2×#121×C59C2211yescharacteristic, complemented
49C2×#121×C59C2211yescharacteristic, complemented
50C2×#121×C59C2211yescharacteristic, complemented
51C2×#120×C59C2211yescharacteristic
52C2×#120×C59C2211yescharacteristic
53C2×#120×C59C2211yescharacteristic
54C59×#518—28no—
55C2×C4×D4×C59C2211yescharacteristic
56C2×C4×D4×C59C2211yescharacteristic, complemented
57C2×C4×D4×C59C2211yescharacteristic, complemented
58C2×C4×D4×C59C2211yescharacteristic, complemented
59C2×C4×D4×C59C2211yescharacteristic, complemented
60C2×C4×D4×C59C2211yescharacteristic, complemented
61C2×C4×D4×C59C2211yescharacteristic, complemented
62C2×C4×D4×C59C2211yescharacteristic, complemented
63C2×C4×D4×C59C2211yescharacteristic, complemented
64C2×C4×D4×C59C2211yescharacteristic, complemented
65C2×C4×D4×C59C2211yescharacteristic, complemented
66C2×C4×D4×C59C2211yescharacteristic, complemented
67C2×C4×D4×C59C2211yescharacteristic, complemented
68C2×#117×C59C2211yescharacteristic
69C2×#117×C59C2211yescharacteristic
70C2×#117×C59C2211yescharacteristic, complemented
71C22×C22⋊C4×C59C2211yescharacteristic
72C22×C22⋊C4×C59C2211yescharacteristic
73C22×C22⋊C4×C59C2211yescharacteristic
74C22×C22⋊C4×C59C2211yescharacteristic
75C22×C22⋊C4×C59C2211yescharacteristic
76C22×C22⋊C4×C59C2211yescharacteristic
77C22×C22⋊C4×C59C2211yescharacteristic
78C22×C22⋊C4×C59C2211yescharacteristic
79C59×#400C2211yescharacteristic, complemented
80C59×#399C2211yescharacteristic, complemented
81C59×#398C2211yescharacteristic, complemented
82C59×#398C2211yescharacteristic, complemented
83C59×#397C2211yescharacteristic, complemented
84C59×#397C2211yescharacteristic, complemented
85C59×#396C2211yescharacteristic, complemented
86C59×#396C2211yescharacteristic, complemented
87C59×#396C2211yescharacteristic, complemented
88C59×#396C2211yescharacteristic, complemented
89C59×#395C2211yescharacteristic, complemented
90C59×#394C2211yescharacteristic, complemented
91C59×#394C2211yescharacteristic, complemented
92C59×#394C2211yescharacteristic, complemented
93C59×#394C2211yescharacteristic, complemented
94C59×#394C2211yescharacteristic, complemented
95C59×#394C2211yescharacteristic, complemented
96C59×#394C2211yescharacteristic, complemented
97C59×#394C2211yescharacteristic, complemented
98C59×#394C2211yescharacteristic, complemented
99C59×#394C2211yescharacteristic, complemented
100C59×#394C2211yescharacteristic, complemented
101C59×#394C2211yescharacteristic, complemented
102C59×#394C2211yescharacteristic, complemented
103C59×#394C2211yescharacteristic, complemented
104C59×#393C2211yescharacteristic, complemented
105C59×#392C2211yescharacteristic
106C59×#392C2211yescharacteristic
107C59×#392C2211yescharacteristic
108C59×#392C2211yescharacteristic
109C59×#392C2211yescharacteristic
110C59×#392C2211yescharacteristic
111C59×#392C2211yescharacteristic
112C59×#392C2211yescharacteristic
113C59×#392C2211yescharacteristic, complemented
114C59×#392C2211yescharacteristic, complemented
115C59×#392C2211yescharacteristic, complemented
116C59×#392C2211yescharacteristic, complemented
117C59×#392C2211yescharacteristic, complemented
118C59×#392C2211yescharacteristic, complemented
119C59×#391C2211yescharacteristic, complemented
120C59×#390C2211yescharacteristic, complemented
121C59×#390C2211yescharacteristic, complemented
122C59×#390C2211yescharacteristic, complemented
123C59×#390C2211yescharacteristic, complemented
124C59×#390C2211yescharacteristic, complemented
125C59×#389C2211yescharacteristic, complemented
126C59×#389C2211yescharacteristic, complemented
127C59×#388C2211yescharacteristic, complemented
128C59×#388C2211yescharacteristic, complemented
129C59×#388C2211yescharacteristic, complemented
130C59×#388C2211yescharacteristic, complemented
131C59×#388C2211yescharacteristic, complemented
132C59×#388C2211yescharacteristic, complemented
133C59×#388C2211yescharacteristic, complemented
134C59×#388C2211yescharacteristic, complemented
135C59×#388C2211yescharacteristic, complemented
136C59×#388C2211yescharacteristic, complemented
137C59×#388C2211yescharacteristic, complemented
138C59×#388C2211yescharacteristic, complemented
139C59×#388C2211yescharacteristic, complemented
140C59×#388C2211yescharacteristic, complemented
141C59×#387C2211yescharacteristic, complemented
142C59×#387C2211yescharacteristic, complemented
143C59×#387C2211yescharacteristic, complemented
144C59×#387C2211yescharacteristic, complemented
145C59×#386C2211yescharacteristic
146C59×#386C2211yescharacteristic
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×#385C2211yescharacteristic
159C59×#385C2211yescharacteristic
160C59×#385C2211yescharacteristic
161C59×#385C2211yescharacteristic
162C59×#385C2211yescharacteristic, complemented
163C59×#385C2211yescharacteristic, complemented
164C59×#385C2211yescharacteristic, complemented
165C59×#385C2211yescharacteristic, complemented
166C59×#385C2211yescharacteristic, complemented
167C59×#385C2211yescharacteristic, complemented
168C59×#385C2211yescharacteristic, complemented
169C59×#381C2211yescharacteristic
170C59×#381C2211yescharacteristic, complemented
171C59×#381C2211yescharacteristic, complemented
172C59×#380C2211yescharacteristic
173C59×#380C2211yescharacteristic
174C59×#380C2211yescharacteristic, complemented
175C59×#380C2211yescharacteristic, complemented
176C59×#379C2211yescharacteristic
177C59×#379C2211yescharacteristic
178C59×#379C2211yescharacteristic
179C59×#379C2211yescharacteristic
180C4×C4⋊C4×C59C2211yescharacteristic, complemented
181C4×C22⋊C4×C59C2211yescharacteristic
182C4×C22⋊C4×C59C2211yescharacteristic
183C4×C22⋊C4×C59C2211yescharacteristic, complemented
184C4×C22⋊C4×C59C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C2×#95×C59C2211yescharacteristic
189C25×C59C2311yescharacteristic
190C25×C59C2311yescharacteristic
191C25×C59C2311yescharacteristic
192C2×#41×C59—24no—
193C2×#41×C59—42no—
194C2×#41×C59—42no—
195C22×Q8×C59C2311yescharacteristic
196C22×D4×C59—24no—
197C22×D4×C59—24no—
198C22×D4×C59—24no—
199C22×D4×C59—24no—
200C22×D4×C59—24no—
201C22×D4×C59—42no—
202C22×D4×C59—42no—
203C22×D4×C59—42no—
204C22×D4×C59—42no—
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
216C22×D4×C59C2311yescharacteristic
217C22×D4×C59C2311yescharacteristic
218C22×D4×C59C2311yescharacteristic
219C22×D4×C59C2311yescharacteristic
220C22×D4×C59C2311yescharacteristic
221C22×D4×C59C2311yescharacteristic
222C22×D4×C59C2311yescharacteristic
223C22×D4×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
232C23×C4×C59C2311yescharacteristic
233C23×C4×C59C2311yescharacteristic
234C23×C4×C59C2311yescharacteristic
235C23×C4×C59C2311yescharacteristic
236C23×C4×C59C2311yescharacteristic
237C23×C4×C59C2311yescharacteristic
238C23×C4×C59C2311yescharacteristic
239#124×C59—24no—
240#123×C59—24no—
241#123×C59—24no—
242#123×C59—24no—
243#123×C59—42no—
244#123×C59—42no—
245#123×C59—42no—
246C22⋊Q8×C59—24no—
247C22⋊Q8×C59—42no—
248#121×C59—24no—
249#121×C59—24no—
250#121×C59—24no—
251#121×C59—42no—
252#121×C59—42no—
253#120×C59—24no—
254#120×C59—24no—
255#120×C59—24no—
256C4×D4×C59—24no—
257C4×D4×C59—24no—
258C4×D4×C59—24no—
259C4×D4×C59—24no—
260C4×D4×C59—24no—
261C4×D4×C59—24no—
262C4×D4×C59—24no—
263C4×D4×C59—24no—
264C4×D4×C59—24no—
265C4×D4×C59—24no—
266C4×D4×C59—42no—
267C4×D4×C59—42no—
268C4×D4×C59—42no—
269#117×C59—24no—
270#117×C59—24no—
271#117×C59—42no—
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×C22⋊C4×C59—24no—
295C2×C22⋊C4×C59—24no—
296C2×C22⋊C4×C59—24no—
297C2×C22⋊C4×C59—24no—
298C2×C22⋊C4×C59—24no—
299C2×C22⋊C4×C59—42no—
300C2×C22⋊C4×C59—42no—
301C2×C22⋊C4×C59D418yescomplemented
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×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365C2×C42×C59C2311yescharacteristic
366C2×C42×C59C2311yescharacteristic
367C2×C42×C59C2311yescharacteristic
368C2×C42×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
391#95×C59C2311yescharacteristic
392#95×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59—22no—
398C24×C59—22no—
399C24×C59—22no—
400C24×C59—22no—
401C24×C59—22no—
402C24×C59—22no—
403C24×C59—22no—
404C24×C59—22no—
405C24×C59—41no—
406C24×C59—41no—
407C24×C59—41no—
408C24×C59—41no—
409C24×C59—41no—
410C24×C59—41no—
411C24×C59—41no—
412C24×C59—41no—
413C24×C59—41no—
414C24×C59—41no—
415C24×C59—41no—
416C24×C59C2×D414yes—
417C24×C59#4114yescomplemented
418C24×C59C2411yescharacteristic
419C24×C59C2411yescharacteristic
420C24×C59C2411yescharacteristic
421C24×C59C2411yescharacteristic
422C24×C59C2411yescharacteristic
423C24×C59C2411yescharacteristic
424C24×C59C2411yescharacteristic
425C24×C59C2411yescharacteristic
426#41×C59—416no—
427C2×Q8×C59—22no—
428C2×Q8×C59—22no—
429C2×Q8×C59—41no—
430C2×D4×C59—232no—
431C2×D4×C59—22no—
432C2×D4×C59—22no—
433C2×D4×C59—22no—
434C2×D4×C59—22no—
435C2×D4×C59—22no—
436C2×D4×C59—22no—
437C2×D4×C59—22no—
438C2×D4×C59—22no—
439C2×D4×C59—22no—
440C2×D4×C59—22no—
441C2×D4×C59—22no—
442C2×D4×C59—22no—
443C2×D4×C59—22no—
444C2×D4×C59—22no—
445C2×D4×C59—22no—
446C2×D4×C59—22no—
447C2×D4×C59—22no—
448C2×D4×C59—22no—
449C2×D4×C59—22no—
450C2×D4×C59—22no—
451C2×D4×C59—22no—
452C2×D4×C59—22no—
453C2×D4×C59—22no—
454C2×D4×C59—22no—
455C2×D4×C59—22no—
456C2×D4×C59—22no—
457C2×D4×C59—22no—
458C2×D4×C59—22no—
459C2×D4×C59—22no—
460C2×D4×C59—22no—
461C2×D4×C59—22no—
462C2×D4×C59—22no—
463C2×D4×C59—22no—
464C2×D4×C59—22no—
465C2×D4×C59—22no—
466C2×D4×C59—22no—
467C2×D4×C59—22no—
468C2×D4×C59—22no—
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×C59—41no—
484C2×D4×C59—41no—
485C2×D4×C59—41no—
486C2×D4×C59—41no—
487C2×D4×C59—41no—
488C2×D4×C59—416no—
489C2×D4×C59—416no—
490C22×C4×C59—22no—
491C22×C4×C59—22no—
492C22×C4×C59—22no—
493C22×C4×C59—22no—
494C22×C4×C59—22no—
495C22×C4×C59—22no—
496C22×C4×C59—22no—
497C22×C4×C59—22no—
498C22×C4×C59—22no—
499C22×C4×C59—22no—
500C22×C4×C59—22no—
501C22×C4×C59—22no—
502C22×C4×C59—22no—
503C22×C4×C59—22no—
504C22×C4×C59—22no—
505C22×C4×C59—22no—
506C22×C4×C59—22no—
507C22×C4×C59—22no—
508C22×C4×C59—41no—
509C22×C4×C59—41no—
510C22×C4×C59—41no—
511C22×C4×C59—41no—
512C22×C4×C59—41no—
513C22×C4×C59—41no—
514C22×C4×C59—41no—
515C22×C4×C59—41no—
516C22×C4×C59—41no—
517C22×C4×C59—41no—
518C22×C4×C59—41no—
519C22×C4×C59—41no—
520C22×C4×C59—41no—
521C22×C4×C59—41no—
522C22×C4×C59—41no—
523C22×C4×C59—41no—
524C22×C4×C59—41no—
525C22×C4×C59—41no—
526C22×C4×C59—41no—
527C22×C4×C59—41no—
528C22×C4×C59—41no—
529C22×C4×C59—41no—
530C22×C4×C59—41no—
531C22×C4×C59—41no—
532C22×C4×C59C2×D414yescomplemented
533C22×C4×C59C2×D414yescomplemented
534C22×C4×C59#4114yescomplemented
535C22×C4×C59C2411yescharacteristic
536C22×C4×C59C2411yescharacteristic
537C22×C4×C59C2411yescharacteristic
538C22×C4×C59C2411yescharacteristic
539C22×C4×C59C2411yescharacteristic
540C22×C4×C59C2411yescharacteristic
541C22×C4×C59C2411yescharacteristic
542C22×C4×C59C2411yescharacteristic
543C22×C4×C59C2411yescharacteristic
544C22×C4×C59C2411yescharacteristic
545C22×C4×C59C2411yescharacteristic
546C22×C4×C59C2411yescharacteristic
547C22×C4×C59C2411yescharacteristic
548C22×C4×C59C2411yescharacteristic
549C22×C4×C59C2411yescharacteristic
550C22×C4×C59C2411yescharacteristic
551C22×C4×C59C2411yescharacteristic
552C22×C4×C59C2411yescharacteristic
553C22×C4×C59C2411yescharacteristic
554C22×C4×C59C2411yescharacteristic
555C22×C4×C59C2411yescharacteristic
556C22×C4×C59C2411yescharacteristic
557C22×C4×C59C2411yescharacteristic
558C4⋊C4×C59—22no—
559C4⋊C4×C59—22no—
560C4⋊C4×C59—22no—
561C4⋊C4×C59—22no—
562C4⋊C4×C59—22no—
563C4⋊C4×C59—22no—
564C4⋊C4×C59—22no—
565C4⋊C4×C59—22no—
566C4⋊C4×C59—22no—
567C4⋊C4×C59—22no—
568C4⋊C4×C59—22no—
569C4⋊C4×C59—22no—
570C4⋊C4×C59—22no—
571C4⋊C4×C59—22no—
572C4⋊C4×C59—41no—
573C4⋊C4×C59—41no—
574C4⋊C4×C59—41no—
575C4⋊C4×C59—41no—
576C4⋊C4×C59—41no—
577C4⋊C4×C59—41no—
578C4⋊C4×C59—41no—
579C4⋊C4×C59—41no—
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—22no—
594C22⋊C4×C59—22no—
595C22⋊C4×C59—22no—
596C22⋊C4×C59—22no—
597C22⋊C4×C59—22no—
598C22⋊C4×C59—22no—
599C22⋊C4×C59—22no—
600C22⋊C4×C59—22no—
601C22⋊C4×C59—22no—
602C22⋊C4×C59—22no—
603C22⋊C4×C59—22no—
604C22⋊C4×C59—22no—
605C22⋊C4×C59—22no—
606C22⋊C4×C59—22no—
607C22⋊C4×C59—22no—
608C22⋊C4×C59—22no—
609C22⋊C4×C59—22no—
610C22⋊C4×C59—22no—
611C22⋊C4×C59—22no—
612C22⋊C4×C59—22no—
613C22⋊C4×C59—41no—
614C22⋊C4×C59—41no—
615C22⋊C4×C59—41no—
616C22⋊C4×C59—41no—
617C22⋊C4×C59—41no—
618C22⋊C4×C59—41no—
619C22⋊C4×C59—41no—
620C22⋊C4×C59—41no—
621C22⋊C4×C59—41no—
622C22⋊C4×C59—41no—
623C22⋊C4×C59—41no—
624C22⋊C4×C59—41no—
625C22⋊C4×C59—41no—
626C22⋊C4×C59—41no—
627C22⋊C4×C59—41no—
628C22⋊C4×C59—41no—
629C22⋊C4×C59—41no—
630C22⋊C4×C59—41no—
631C22⋊C4×C59—41no—
632C22⋊C4×C59—41no—
633C22⋊C4×C59—41no—
634C22⋊C4×C59C2×D414yes—
635C22⋊C4×C59C2×D414yes—
636C22⋊C4×C59C2×D414yescomplemented
637C22⋊C4×C59C2×D414yescomplemented
638C42×C59—22no—
639C42×C59—22no—
640C42×C59—22no—
641C42×C59—22no—
642C42×C59—22no—
643C42×C59—22no—
644C42×C59—41no—
645C42×C59—41no—
646C42×C59—41no—
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—28no—
682C23×C59—28no—
683C23×C59—21no—
684C23×C59—21no—
685C23×C59—21no—
686C23×C59—21no—
687C23×C59—21no—
688C23×C59—21no—
689C23×C59—21no—
690C23×C59—21no—
691C23×C59—21no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—44no—
698C23×C59—44no—
699C23×C59—44no—
700C23×C59—44no—
701C23×C59—44no—
702C23×C59—44no—
703C23×C59—44no—
704C23×C59—44no—
705C23×C59—82no—
706C23×C59—82no—
707C23×C59—82no—
708C23×C59—82no—
709C23×C59—82no—
710C23×C59—82no—
711C23×C59—82no—
712C23×C59—82no—
713C23×C59—82no—
714C23×C59—82no—
715C23×C59—82no—
716C23×C59C22×D412yes—
717C23×C59C22×D412yes—
718C23×C59C22×D412yes—
719C23×C59C2×#4112yes—
720C23×C59C2×#4112yes—
721C23×C59C2×#4112yes—
722C23×C59C2×#4112yes—
723C23×C59H(5,𝔽2)12yes—
724C23×C59C2511yescharacteristic
725Q8×C59—44no—
726D4×C59—28no—
727D4×C59—28no—
728D4×C59—28no—
729D4×C59—28no—
730D4×C59—28no—
731D4×C59—28no—
732D4×C59—44no—
733D4×C59—44no—
734D4×C59—44no—
735D4×C59—44no—
736D4×C59—44no—
737D4×C59—44no—
738D4×C59—44no—
739D4×C59—44no—
740D4×C59—44no—
741D4×C59—44no—
742D4×C59—82no—
743D4×C59—82no—
744D4×C59—82no—
745C2×C4×C59—28no—
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—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—44no—
808C2×C4×C59—44no—
809C2×C4×C59—44no—
810C2×C4×C59—44no—
811C2×C4×C59—44no—
812C2×C4×C59—44no—
813C2×C4×C59—82no—
814C2×C4×C59—82no—
815C2×C4×C59—82no—
816C2×C4×C59—82no—
817C2×C4×C59—82no—
818C2×C4×C59—82no—
819C2×C4×C59—82no—
820C2×C4×C59—82no—
821C2×C4×C59C22×D412yes—
822C2×C4×C59C22×D412yes—
823C2×C4×C59C22×D412yes—
824C2×C4×C59C22×D412yes—
825C2×C4×C59C2×#4112yes—
826C2×C4×C59C2×#4112yes—
827C2×C4×C59H(5,𝔽2)12yes—
828C2×C4×C59H(5,𝔽2)12yes—
829#35681C5911yesmaximal, characteristic, direct product factor, Sylow
830C22×C59—22no—
831C22×C59—22no—
832C22×C59—22no—
833C22×C59—22no—
834C22×C59—22no—
835C22×C59—22no—
836C22×C59—22no—
837C22×C59—22no—
838C22×C59—22no—
839C22×C59—22no—
840C22×C59—22no—
841C22×C59—22no—
842C22×C59—22no—
843C22×C59—22no—
844C22×C59—22no—
845C22×C59—22no—
846C22×C59—22no—
847C22×C59—22no—
848C22×C59—22no—
849C22×C59—22no—
850C22×C59—22no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—41no—
867C22×C59—41no—
868C22×C59—41no—
869C22×C59—41no—
870C22×C59—41no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—88no—
886C22×C59—88no—
887C22×C59—88no—
888C22×C59#52514yes—
889C22×C59C23×D411yescharacteristic
890C22×C59C22×#4111yescharacteristic
891C22×C59C22×#4111yescharacteristic
892C22×C59C2×H(5,𝔽2)11yescharacteristic
893C22×C59C2×H(5,𝔽2)11yescharacteristic
894C22×C59C2×H(5,𝔽2)11yescharacteristic
895C22×C59#58511yescharacteristic
896C4×C59—22no—
897C4×C59—22no—
898C4×C59—22no—
899C4×C59—22no—
900C4×C59—22no—
901C4×C59—22no—
902C4×C59—22no—
903C4×C59—22no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910C4×C59—41no—
911C4×C59—41no—
912C4×C59—41no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59—41no—
919C2×#546C2×C5911yescharacteristic, complemented
920C2×#518C2×C5911yescharacteristic, complemented
921#2635C2×C5911yescharacteristic, complemented
922#2630C2×C5911yescharacteristic, complemented
923#2613C2×C5911yescharacteristic, complemented
924#2602C2×C5911yescharacteristic, complemented
925#2600C2×C5911yescharacteristic, complemented
926#2464C2×C5911yescharacteristic, complemented
927#2464C2×C5911yescharacteristic, complemented
928#2461C2×C5911yescharacteristic, complemented
929#2459C2×C5911yescharacteristic, complemented
930#2457C2×C5911yescharacteristic, complemented
931#2456C2×C5911yescharacteristic, complemented
932#2456C2×C5911yescharacteristic, complemented
933#2455C2×C5911yescharacteristic, complemented
934#2438C2×C5911yescharacteristic, complemented
935#2437C2×C5911yescharacteristic, complemented
936#2414C2×C5911yescharacteristic, complemented
937#2412C2×C5911yescharacteristic, complemented
938#2411C2×C5911yescharacteristic, complemented
939#2410C2×C5911yescharacteristic, complemented
940#2407C2×C5911yescharacteristic, complemented
941#2405C2×C5911yescharacteristic, complemented
942#2392C2×C5911yescharacteristic, complemented
943#2388C2×C5911yescharacteristic, complemented
944C2×#392C2×C5911yescharacteristic, complemented
945#2359C2×C5911yescharacteristic, complemented
946#2358C2×C5911yescharacteristic, complemented
947#2342C2×C5911yescharacteristic, complemented
948#2342C2×C5911yescharacteristic, complemented
949D4×C22⋊C4C2×C5911yescharacteristic, complemented
950C2×C59—24no—
951C2×C59—42no—
952C2×C59—42no—
953C2×C59—42no—
954C2×C59—42no—
955C2×C59—42no—
956C2×C59—81no—
957C2×C59—81no—
958C2×C59C2×#52511yescharacteristic
959C2×C59#348411yescharacteristic
960C2×C59#349011yescharacteristic
961C2×C59#349411yescharacteristic
962C2×C59#349611yescharacteristic
963C2×C59#350511yescharacteristic
964C2×C59#350811yescharacteristic
965C22×#41C22×C5911yescharacteristic, complemented
966C23×D4C22×C5911yescharacteristic
967C23×D4C22×C5911yescharacteristic
968C23×D4C22×C5911yescharacteristic
969#546—28no—
970C2×#124C22×C5911yescharacteristic, complemented
971C2×#123C22×C5911yescharacteristic
972C2×#123C22×C5911yescharacteristic, complemented
973C2×#123C22×C5911yescharacteristic, complemented
974C2×#123C22×C5911yescharacteristic, complemented
975C2×#123C22×C5911yescharacteristic, complemented
976C2×#123C22×C5911yescharacteristic, complemented
977C2×C22⋊Q8C22×C5911yescharacteristic
978C2×C22⋊Q8C22×C5911yescharacteristic, complemented
979C2×#121C22×C5911yescharacteristic, complemented
980C2×#121C22×C5911yescharacteristic, complemented
981C2×#121C22×C5911yescharacteristic, complemented
982C2×#121C22×C5911yescharacteristic, complemented
983C2×#121C22×C5911yescharacteristic, complemented
984C2×#120C22×C5911yescharacteristic
985C2×#120C22×C5911yescharacteristic
986C2×#120C22×C5911yescharacteristic
987#518—28no—
988C2×C4×D4C22×C5911yescharacteristic
989C2×C4×D4C22×C5911yescharacteristic, complemented
990C2×C4×D4C22×C5911yescharacteristic, complemented
991C2×C4×D4C22×C5911yescharacteristic, complemented
992C2×C4×D4C22×C5911yescharacteristic, complemented
993C2×C4×D4C22×C5911yescharacteristic, complemented
994C2×C4×D4C22×C5911yescharacteristic, complemented
995C2×C4×D4C22×C5911yescharacteristic, complemented
996C2×C4×D4C22×C5911yescharacteristic, complemented
997C2×C4×D4C22×C5911yescharacteristic, complemented
998C2×C4×D4C22×C5911yescharacteristic, complemented
999C2×C4×D4C22×C5911yescharacteristic, complemented
1000C2×C4×D4C22×C5911yescharacteristic, complemented
1001C2×#117C22×C5911yescharacteristic
1002C2×#117C22×C5911yescharacteristic
1003C2×#117C22×C5911yescharacteristic, complemented
1004C22×C22⋊C4C22×C5911yescharacteristic
1005C22×C22⋊C4C22×C5911yescharacteristic
1006C22×C22⋊C4C22×C5911yescharacteristic
1007C22×C22⋊C4C22×C5911yescharacteristic
1008C22×C22⋊C4C22×C5911yescharacteristic
1009C22×C22⋊C4C22×C5911yescharacteristic
1010C22×C22⋊C4C22×C5911yescharacteristic
1011C22×C22⋊C4C22×C5911yescharacteristic
1012#400C22×C5911yescharacteristic, complemented
1013#399C22×C5911yescharacteristic, complemented
1014#398C22×C5911yescharacteristic, complemented
1015#398C22×C5911yescharacteristic, complemented
1016#397C22×C5911yescharacteristic, complemented
1017#397C22×C5911yescharacteristic, complemented
1018#396C22×C5911yescharacteristic, complemented
1019#396C22×C5911yescharacteristic, complemented
1020#396C22×C5911yescharacteristic, complemented
1021#396C22×C5911yescharacteristic, complemented
1022#395C22×C5911yescharacteristic, complemented
1023#394C22×C5911yescharacteristic, complemented
1024#394C22×C5911yescharacteristic, complemented
1025#394C22×C5911yescharacteristic, complemented
1026#394C22×C5911yescharacteristic, complemented
1027#394C22×C5911yescharacteristic, complemented
1028#394C22×C5911yescharacteristic, complemented
1029#394C22×C5911yescharacteristic, complemented
1030#394C22×C5911yescharacteristic, complemented
1031#394C22×C5911yescharacteristic, complemented
1032#394C22×C5911yescharacteristic, complemented
1033#394C22×C5911yescharacteristic, complemented
1034#394C22×C5911yescharacteristic, complemented
1035#394C22×C5911yescharacteristic, complemented
1036#394C22×C5911yescharacteristic, complemented
1037#393C22×C5911yescharacteristic, complemented
1038#392C22×C5911yescharacteristic
1039#392C22×C5911yescharacteristic
1040#392C22×C5911yescharacteristic
1041#392C22×C5911yescharacteristic
1042#392C22×C5911yescharacteristic
1043#392C22×C5911yescharacteristic
1044#392C22×C5911yescharacteristic
1045#392C22×C5911yescharacteristic
1046#392C22×C5911yescharacteristic, complemented
1047#392C22×C5911yescharacteristic, complemented
1048#392C22×C5911yescharacteristic, complemented
1049#392C22×C5911yescharacteristic, complemented
1050#392C22×C5911yescharacteristic, complemented
1051#392C22×C5911yescharacteristic, complemented
1052#391C22×C5911yescharacteristic, complemented
1053#390C22×C5911yescharacteristic, complemented
1054#390C22×C5911yescharacteristic, complemented
1055#390C22×C5911yescharacteristic, complemented
1056#390C22×C5911yescharacteristic, complemented
1057#390C22×C5911yescharacteristic, complemented
1058#389C22×C5911yescharacteristic, complemented
1059#389C22×C5911yescharacteristic, complemented
1060#388C22×C5911yescharacteristic, complemented
1061#388C22×C5911yescharacteristic, complemented
1062#388C22×C5911yescharacteristic, complemented
1063#388C22×C5911yescharacteristic, complemented
1064#388C22×C5911yescharacteristic, complemented
1065#388C22×C5911yescharacteristic, complemented
1066#388C22×C5911yescharacteristic, complemented
1067#388C22×C5911yescharacteristic, complemented
1068#388C22×C5911yescharacteristic, complemented
1069#388C22×C5911yescharacteristic, complemented
1070#388C22×C5911yescharacteristic, complemented
1071#388C22×C5911yescharacteristic, complemented
1072#388C22×C5911yescharacteristic, complemented
1073#388C22×C5911yescharacteristic, complemented
1074#387C22×C5911yescharacteristic, complemented
1075#387C22×C5911yescharacteristic, complemented
1076#387C22×C5911yescharacteristic, complemented
1077#387C22×C5911yescharacteristic, complemented
1078#386C22×C5911yescharacteristic
1079#386C22×C5911yescharacteristic
1080#386C22×C5911yescharacteristic, complemented
1081#386C22×C5911yescharacteristic, complemented
1082#386C22×C5911yescharacteristic, complemented
1083#386C22×C5911yescharacteristic, complemented
1084#386C22×C5911yescharacteristic, complemented
1085#386C22×C5911yescharacteristic, complemented
1086#386C22×C5911yescharacteristic, complemented
1087#386C22×C5911yescharacteristic, complemented
1088#386C22×C5911yescharacteristic, complemented
1089#386C22×C5911yescharacteristic, complemented
1090#386C22×C5911yescharacteristic, complemented
1091#385C22×C5911yescharacteristic
1092#385C22×C5911yescharacteristic
1093#385C22×C5911yescharacteristic
1094#385C22×C5911yescharacteristic
1095#385C22×C5911yescharacteristic, complemented
1096#385C22×C5911yescharacteristic, complemented
1097#385C22×C5911yescharacteristic, complemented
1098#385C22×C5911yescharacteristic, complemented
1099#385C22×C5911yescharacteristic, complemented
1100#385C22×C5911yescharacteristic, complemented
1101#385C22×C5911yescharacteristic, complemented
1102#381C22×C5911yescharacteristic
1103#381C22×C5911yescharacteristic, complemented
1104#381C22×C5911yescharacteristic, complemented
1105#380C22×C5911yescharacteristic
1106#380C22×C5911yescharacteristic
1107#380C22×C5911yescharacteristic, complemented
1108#380C22×C5911yescharacteristic, complemented
1109#379C22×C5911yescharacteristic
1110#379C22×C5911yescharacteristic
1111#379C22×C5911yescharacteristic
1112#379C22×C5911yescharacteristic
1113C4×C4⋊C4C22×C5911yescharacteristic, complemented
1114C4×C22⋊C4C22×C5911yescharacteristic
1115C4×C22⋊C4C22×C5911yescharacteristic
1116C4×C22⋊C4C22×C5911yescharacteristic, complemented
1117C4×C22⋊C4C22×C5911yescharacteristic, complemented
1118C4×C22⋊C4C22×C5911yescharacteristic, complemented
1119C4×C22⋊C4C22×C5911yescharacteristic, complemented
1120C4×C22⋊C4C22×C5911yescharacteristic, complemented
1121C2×#95C22×C5911yescharacteristic
1122C59#3568111yescharacteristic, direct product factor, Sylow
1123C25C23×C5911yescharacteristic
1124C25C23×C5911yescharacteristic
1125C25C23×C5911yescharacteristic
1126C2×#41—24no—
1127C2×#41—42no—
1128C2×#41—42no—
1129C22×Q8C23×C5911yescharacteristic
1130C22×D4—24no—
1131C22×D4—24no—
1132C22×D4—24no—
1133C22×D4—24no—
1134C22×D4—24no—
1135C22×D4—42no—
1136C22×D4—42no—
1137C22×D4—42no—
1138C22×D4—42no—
1139C22×D4C23×C5911yescharacteristic
1140C22×D4C23×C5911yescharacteristic
1141C22×D4C23×C5911yescharacteristic
1142C22×D4C23×C5911yescharacteristic
1143C22×D4C23×C5911yescharacteristic
1144C22×D4C23×C5911yescharacteristic
1145C22×D4C23×C5911yescharacteristic
1146C22×D4C23×C5911yescharacteristic
1147C22×D4C23×C5911yescharacteristic
1148C22×D4C23×C5911yescharacteristic
1149C22×D4C23×C5911yescharacteristic
1150C22×D4C23×C5911yescharacteristic
1151C22×D4C23×C5911yescharacteristic
1152C22×D4C23×C5911yescharacteristic
1153C22×D4C23×C5911yescharacteristic
1154C22×D4C23×C5911yescharacteristic
1155C22×D4C23×C5911yescharacteristic
1156C22×D4C23×C5911yescharacteristic
1157C22×D4C23×C5911yescharacteristic
1158C23×C4C23×C5911yescharacteristic
1159C23×C4C23×C5911yescharacteristic
1160C23×C4C23×C5911yescharacteristic
1161C23×C4C23×C5911yescharacteristic
1162C23×C4C23×C5911yescharacteristic
1163C23×C4C23×C5911yescharacteristic
1164C23×C4C23×C5911yescharacteristic
1165C23×C4C23×C5911yescharacteristic
1166C23×C4C23×C5911yescharacteristic
1167C23×C4C23×C5911yescharacteristic
1168C23×C4C23×C5911yescharacteristic
1169C23×C4C23×C5911yescharacteristic
1170C23×C4C23×C5911yescharacteristic
1171C23×C4C23×C5911yescharacteristic
1172C23×C4C23×C5911yescharacteristic
1173#124—24no—
1174#123—24no—
1175#123—24no—
1176#123—24no—
1177#123—42no—
1178#123—42no—
1179#123—42no—
1180C22⋊Q8—24no—
1181C22⋊Q8—42no—
1182#121—24no—
1183#121—24no—
1184#121—24no—
1185#121—42no—
1186#121—42no—
1187#120—24no—
1188#120—24no—
1189#120—24no—
1190C4×D4—24no—
1191C4×D4—24no—
1192C4×D4—24no—
1193C4×D4—24no—
1194C4×D4—24no—
1195C4×D4—24no—
1196C4×D4—24no—
1197C4×D4—24no—
1198C4×D4—24no—
1199C4×D4—24no—
1200C4×D4—42no—
1201C4×D4—42no—
1202C4×D4—42no—
1203#117—24no—
1204#117—24no—
1205#117—42no—
1206C2×C4⋊C4C23×C5911yescharacteristic
1207C2×C4⋊C4C23×C5911yescharacteristic
1208C2×C4⋊C4C23×C5911yescharacteristic
1209C2×C4⋊C4C23×C5911yescharacteristic
1210C2×C4⋊C4C23×C5911yescharacteristic
1211C2×C4⋊C4C23×C5911yescharacteristic
1212C2×C4⋊C4C23×C5911yescharacteristic
1213C2×C4⋊C4C23×C5911yescharacteristic
1214C2×C4⋊C4C23×C5911yescharacteristic
1215C2×C4⋊C4C23×C5911yescharacteristic
1216C2×C4⋊C4C23×C5911yescharacteristic
1217C2×C4⋊C4C23×C5911yescharacteristic
1218C2×C4⋊C4C23×C5911yescharacteristic
1219C2×C4⋊C4C23×C5911yescharacteristic
1220C2×C4⋊C4C23×C5911yescharacteristic
1221C2×C4⋊C4C23×C5911yescharacteristic
1222C2×C4⋊C4C23×C5911yescharacteristic
1223C2×C4⋊C4C23×C5911yescharacteristic
1224C2×C4⋊C4C23×C5911yescharacteristic
1225C2×C4⋊C4C23×C5911yescharacteristic
1226C2×C4⋊C4C23×C5911yescharacteristic
1227C2×C4⋊C4C23×C5911yescharacteristic
1228C2×C22⋊C4—24no—
1229C2×C22⋊C4—24no—
1230C2×C22⋊C4—24no—
1231C2×C22⋊C4—24no—
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—42no—
1234C2×C22⋊C4—42no—
1235C2×C22⋊C4D4×C5918yescomplemented
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×C22⋊C4C23×C5911yescharacteristic
1258C2×C22⋊C4C23×C5911yescharacteristic
1259C2×C22⋊C4C23×C5911yescharacteristic
1260C2×C22⋊C4C23×C5911yescharacteristic
1261C2×C22⋊C4C23×C5911yescharacteristic
1262C2×C22⋊C4C23×C5911yescharacteristic
1263C2×C22⋊C4C23×C5911yescharacteristic
1264C2×C22⋊C4C23×C5911yescharacteristic
1265C2×C22⋊C4C23×C5911yescharacteristic
1266C2×C22⋊C4C23×C5911yescharacteristic
1267C2×C22⋊C4C23×C5911yescharacteristic
1268C2×C22⋊C4C23×C5911yescharacteristic
1269C2×C22⋊C4C23×C5911yescharacteristic
1270C2×C22⋊C4C23×C5911yescharacteristic
1271C2×C22⋊C4C23×C5911yescharacteristic
1272C2×C22⋊C4C23×C5911yescharacteristic
1273C2×C22⋊C4C23×C5911yescharacteristic
1274C2×C22⋊C4C23×C5911yescharacteristic
1275C2×C22⋊C4C23×C5911yescharacteristic
1276C2×C22⋊C4C23×C5911yescharacteristic
1277C2×C22⋊C4C23×C5911yescharacteristic
1278C2×C22⋊C4C23×C5911yescharacteristic
1279C2×C22⋊C4C23×C5911yescharacteristic
1280C2×C22⋊C4C23×C5911yescharacteristic
1281C2×C22⋊C4C23×C5911yescharacteristic
1282C2×C22⋊C4C23×C5911yescharacteristic
1283C2×C22⋊C4C23×C5911yescharacteristic
1284C2×C22⋊C4C23×C5911yescharacteristic
1285C2×C22⋊C4C23×C5911yescharacteristic
1286C2×C22⋊C4C23×C5911yescharacteristic
1287C2×C22⋊C4C23×C5911yescharacteristic
1288C2×C22⋊C4C23×C5911yescharacteristic
1289C2×C22⋊C4C23×C5911yescharacteristic
1290C2×C22⋊C4C23×C5911yescharacteristic
1291C2×C22⋊C4C23×C5911yescharacteristic
1292C2×C22⋊C4C23×C5911yescharacteristic
1293C2×C22⋊C4C23×C5911yescharacteristic
1294C2×C42C23×C5911yescharacteristic
1295C2×C42C23×C5911yescharacteristic
1296C2×C42C23×C5911yescharacteristic
1297C2×C42C23×C5911yescharacteristic
1298C2×C42C23×C5911yescharacteristic
1299C2×C42C23×C5911yescharacteristic
1300C2×C42C23×C5911yescharacteristic
1301C2×C42C23×C5911yescharacteristic
1302C2×C42C23×C5911yescharacteristic
1303#95C23×C5911yescharacteristic
1304#95C23×C5911yescharacteristic
1305#95C23×C5911yescharacteristic
1306#95C23×C5911yescharacteristic
1307#95C23×C5911yescharacteristic
1308#95C23×C5911yescharacteristic
1309#95C23×C5911yescharacteristic
1310#95C23×C5911yescharacteristic
1311#95C23×C5911yescharacteristic
1312#95C23×C5911yescharacteristic
1313#95C23×C5911yescharacteristic
1314#95C23×C5911yescharacteristic
1315#95C23×C5911yescharacteristic
1316#95C23×C5911yescharacteristic
1317#95C23×C5911yescharacteristic
1318#95C23×C5911yescharacteristic
1319#95C23×C5911yescharacteristic
1320#95C23×C5911yescharacteristic
1321#95C23×C5911yescharacteristic
1322#95C23×C5911yescharacteristic
1323#95C23×C5911yescharacteristic
1324#95C23×C5911yescharacteristic
1325#95C23×C5911yescharacteristic
1326#95C23×C5911yescharacteristic
1327#95C23×C5911yescharacteristic
1328#95C23×C5911yescharacteristic
1329#95C23×C5911yescharacteristic
1330#95C23×C5911yescharacteristic
1331C24—22no—
1332C24—22no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—41no—
1340C24—41no—
1341C24—41no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—41no—
1347C24—41no—
1348C24—41no—
1349C24—41no—
1350C24C2×D4×C5914yes—
1351C24#41×C5914yescomplemented
1352C24C24×C5911yescharacteristic
1353C24C24×C5911yescharacteristic
1354C24C24×C5911yescharacteristic
1355C24C24×C5911yescharacteristic
1356C24C24×C5911yescharacteristic
1357C24C24×C5911yescharacteristic
1358C24C24×C5911yescharacteristic
1359C24C24×C5911yescharacteristic
1360#41—416no—
1361C2×Q8—22no—
1362C2×Q8—22no—
1363C2×Q8—41no—
1364C2×D4—232no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—22no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—22no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—416no—
1423C2×D4—416no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—41no—
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×C4C2×D4×C5914yescomplemented
1467C22×C4C2×D4×C5914yescomplemented
1468C22×C4#41×C5914yescomplemented
1469C22×C4C24×C5911yescharacteristic
1470C22×C4C24×C5911yescharacteristic
1471C22×C4C24×C5911yescharacteristic
1472C22×C4C24×C5911yescharacteristic
1473C22×C4C24×C5911yescharacteristic
1474C22×C4C24×C5911yescharacteristic
1475C22×C4C24×C5911yescharacteristic
1476C22×C4C24×C5911yescharacteristic
1477C22×C4C24×C5911yescharacteristic
1478C22×C4C24×C5911yescharacteristic
1479C22×C4C24×C5911yescharacteristic
1480C22×C4C24×C5911yescharacteristic
1481C22×C4C24×C5911yescharacteristic
1482C22×C4C24×C5911yescharacteristic
1483C22×C4C24×C5911yescharacteristic
1484C22×C4C24×C5911yescharacteristic
1485C22×C4C24×C5911yescharacteristic
1486C22×C4C24×C5911yescharacteristic
1487C22×C4C24×C5911yescharacteristic
1488C22×C4C24×C5911yescharacteristic
1489C22×C4C24×C5911yescharacteristic
1490C22×C4C24×C5911yescharacteristic
1491C22×C4C24×C5911yescharacteristic
1492C4⋊C4—22no—
1493C4⋊C4—22no—
1494C4⋊C4—22no—
1495C4⋊C4—22no—
1496C4⋊C4—22no—
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—41no—
1507C4⋊C4—41no—
1508C4⋊C4—41no—
1509C4⋊C4—41no—
1510C4⋊C4—41no—
1511C4⋊C4—41no—
1512C4⋊C4—41no—
1513C4⋊C4—41no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—22no—
1535C22⋊C4—22no—
1536C22⋊C4—22no—
1537C22⋊C4—22no—
1538C22⋊C4—22no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—22no—
1542C22⋊C4—22no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—41no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4C2×D4×C5914yes—
1569C22⋊C4C2×D4×C5914yes—
1570C22⋊C4C2×D4×C5914yescomplemented
1571C22⋊C4C2×D4×C5914yescomplemented
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—41no—
1579C42—41no—
1580C42—41no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—28no—
1616C23—28no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—44no—
1632C23—44no—
1633C23—44no—
1634C23—44no—
1635C23—44no—
1636C23—44no—
1637C23—44no—
1638C23—44no—
1639C23—82no—
1640C23—82no—
1641C23—82no—
1642C23—82no—
1643C23—82no—
1644C23—82no—
1645C23—82no—
1646C23—82no—
1647C23—82no—
1648C23—82no—
1649C23—82no—
1650C23C22×D4×C5912yes—
1651C23C22×D4×C5912yes—
1652C23C22×D4×C5912yes—
1653C23C2×#41×C5912yes—
1654C23C2×#41×C5912yes—
1655C23C2×#41×C5912yes—
1656C23C2×#41×C5912yes—
1657C23H(5,𝔽2)×C5912yes—
1658C23C25×C5911yescharacteristic
1659Q8—44no—
1660D4—28no—
1661D4—28no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—28no—
1666D4—44no—
1667D4—44no—
1668D4—44no—
1669D4—44no—
1670D4—44no—
1671D4—44no—
1672D4—44no—
1673D4—44no—
1674D4—44no—
1675D4—44no—
1676D4—82no—
1677D4—82no—
1678D4—82no—
1679C2×C4—28no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—44no—
1742C2×C4—44no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—82no—
1748C2×C4—82no—
1749C2×C4—82no—
1750C2×C4—82no—
1751C2×C4—82no—
1752C2×C4—82no—
1753C2×C4—82no—
1754C2×C4—82no—
1755C2×C4C22×D4×C5912yes—
1756C2×C4C22×D4×C5912yes—
1757C2×C4C22×D4×C5912yes—
1758C2×C4C22×D4×C5912yes—
1759C2×C4C2×#41×C5912yes—
1760C2×C4C2×#41×C5912yes—
1761C2×C4H(5,𝔽2)×C5912yes—
1762C2×C4H(5,𝔽2)×C5912yes—
1763C22—22no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—88no—
1819C22—88no—
1820C22—88no—
1821C22C59×#52514yes—
1822C22C23×D4×C5911yescharacteristic
1823C22C22×#41×C5911yescharacteristic
1824C22C22×#41×C5911yescharacteristic
1825C22C2×H(5,𝔽2)×C5911yescharacteristic
1826C22C2×H(5,𝔽2)×C5911yescharacteristic
1827C22C2×H(5,𝔽2)×C5911yescharacteristic
1828C22C59×#58511yescharacteristic
1829C4—22no—
1830C4—22no—
1831C4—22no—
1832C4—22no—
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C2—24no—
1853C2—42no—
1854C2—42no—
1855C2—42no—
1856C2—42no—
1857C2—42no—
1858C2—81no—
1859C2—81no—
1860C2C2×C59×#52511yescharacteristic
1861C2C59×#348411yescharacteristic
1862C2C59×#349011yescharacteristic
1863C2C59×#349411yescharacteristic
1864C2C59×#349611yescharacteristic
1865C2C59×#350511yescharacteristic
1866C2C59×#350811yescharacteristic
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×#546C2semidirect
2. C2×C59×#518C2semidirect
3. C59×#2635C2semidirect
4. C59×#2630C2semidirect
5. C59×#2613C2semidirect
6. C59×#2602C2semidirect
7. C59×#2600C2semidirect
8. C59×#2464C2semidirect
9. C59×#2464C2semidirect
10. C59×#2461C2semidirect
11. C59×#2459C2semidirect
12. C59×#2457C2semidirect
13. C59×#2456C2semidirect
14. C59×#2456C2semidirect
15. C59×#2455C2semidirect
16. C59×#2438C2semidirect
17. C59×#2437C2semidirect
18. C59×#2414C2semidirect
19. C59×#2412C2semidirect
20. C59×#2411C2semidirect
21. C59×#2410C2semidirect
22. C59×#2407C2semidirect
23. C59×#2405C2semidirect
24. C59×#2392C2semidirect
25. C59×#2388C2semidirect
26. C2×C59×#392C2semidirect
27. C59×#2359C2semidirect
28. C59×#2358C2semidirect
29. C59×#2342C2semidirect
30. C59×#2342C2semidirect
31. D4×C22⋊C4×C59C2semidirect
32. C22×#41×C59C22semidirect
37. C2×#124×C59C22semidirect
39. C2×#123×C59C22semidirect
40. C2×#123×C59C22semidirect
41. C2×#123×C59C22semidirect
42. C2×#123×C59C22semidirect
43. C2×#123×C59C22semidirect
45. C2×C22⋊Q8×C59C22semidirect
46. C2×#121×C59C22semidirect
47. C2×#121×C59C22semidirect
48. C2×#121×C59C22semidirect
49. C2×#121×C59C22semidirect
50. C2×#121×C59C22semidirect
56. C2×C4×D4×C59C22semidirect
57. C2×C4×D4×C59C22semidirect
58. C2×C4×D4×C59C22semidirect
59. C2×C4×D4×C59C22semidirect
60. C2×C4×D4×C59C22semidirect
61. C2×C4×D4×C59C22semidirect
62. C2×C4×D4×C59C22semidirect
63. C2×C4×D4×C59C22semidirect
64. C2×C4×D4×C59C22semidirect
65. C2×C4×D4×C59C22semidirect
66. C2×C4×D4×C59C22semidirect
67. C2×C4×D4×C59C22semidirect
70. C2×#117×C59C22semidirect
79. C59×#400C22semidirect
80. C59×#399C22semidirect
81. C59×#398C22semidirect
82. C59×#398C22semidirect
83. C59×#397C22semidirect
84. C59×#397C22semidirect
85. C59×#396C22semidirect
86. C59×#396C22semidirect
87. C59×#396C22semidirect
88. C59×#396C22semidirect
89. C59×#395C22semidirect
90. C59×#394C22semidirect
91. C59×#394C22semidirect
92. C59×#394C22semidirect
93. C59×#394C22semidirect
94. C59×#394C22semidirect
95. C59×#394C22semidirect
96. C59×#394C22semidirect
97. C59×#394C22semidirect
98. C59×#394C22semidirect
99. C59×#394C22semidirect
100. C59×#394C22semidirect
101. C59×#394C22semidirect
102. C59×#394C22semidirect
103. C59×#394C22semidirect
104. C59×#393C22semidirect
113. C59×#392C22semidirect
114. C59×#392C22semidirect
115. C59×#392C22semidirect
116. C59×#392C22semidirect
117. C59×#392C22semidirect
118. C59×#392C22semidirect
119. C59×#391C22semidirect
120. C59×#390C22semidirect
121. C59×#390C22semidirect
122. C59×#390C22semidirect
123. C59×#390C22semidirect
124. C59×#390C22semidirect
125. C59×#389C22semidirect
126. C59×#389C22semidirect
127. C59×#388C22semidirect
128. C59×#388C22semidirect
129. C59×#388C22semidirect
130. C59×#388C22semidirect
131. C59×#388C22semidirect
132. C59×#388C22semidirect
133. C59×#388C22semidirect
134. C59×#388C22semidirect
135. C59×#388C22semidirect
136. C59×#388C22semidirect
137. C59×#388C22semidirect
138. C59×#388C22semidirect
139. C59×#388C22semidirect
140. C59×#388C22semidirect
141. C59×#387C22semidirect
142. C59×#387C22semidirect
143. C59×#387C22semidirect
144. C59×#387C22semidirect
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
162. C59×#385C22semidirect
163. C59×#385C22semidirect
164. C59×#385C22semidirect
165. C59×#385C22semidirect
166. C59×#385C22semidirect
167. C59×#385C22semidirect
168. C59×#385C22semidirect
170. C59×#381C22semidirect
171. C59×#381C22semidirect
174. C59×#380C22semidirect
175. C59×#380C22semidirect
180. C4×C4⋊C4×C59C22semidirect
183. C4×C22⋊C4×C59C22semidirect
184. C4×C22⋊C4×C59C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
187. C4×C22⋊C4×C59C22semidirect
301. C2×C22⋊C4×C59D4semidirect
417. C24×C59#41semidirect
532. C22×C4×C59C2×D4semidirect
533. C22×C4×C59C2×D4semidirect
534. C22×C4×C59#41semidirect
636. C22⋊C4×C59C2×D4semidirect
637. C22⋊C4×C59C2×D4semidirect
829. #35681C59direct (N × H)
919. C2×#546C2×C59semidirect
920. C2×#518C2×C59semidirect
921. #2635C2×C59semidirect
922. #2630C2×C59semidirect
923. #2613C2×C59semidirect
924. #2602C2×C59semidirect
925. #2600C2×C59semidirect
926. #2464C2×C59semidirect
927. #2464C2×C59semidirect
928. #2461C2×C59semidirect
929. #2459C2×C59semidirect
930. #2457C2×C59semidirect
931. #2456C2×C59semidirect
932. #2456C2×C59semidirect
933. #2455C2×C59semidirect
934. #2438C2×C59semidirect
935. #2437C2×C59semidirect
936. #2414C2×C59semidirect
937. #2412C2×C59semidirect
938. #2411C2×C59semidirect
939. #2410C2×C59semidirect
940. #2407C2×C59semidirect
941. #2405C2×C59semidirect
942. #2392C2×C59semidirect
943. #2388C2×C59semidirect
944. C2×#392C2×C59semidirect
945. #2359C2×C59semidirect
946. #2358C2×C59semidirect
947. #2342C2×C59semidirect
948. #2342C2×C59semidirect
949. D4×C22⋊C4C2×C59semidirect
965. C22×#41C22×C59semidirect
970. C2×#124C22×C59semidirect
972. C2×#123C22×C59semidirect
973. C2×#123C22×C59semidirect
974. C2×#123C22×C59semidirect
975. C2×#123C22×C59semidirect
976. C2×#123C22×C59semidirect
978. C2×C22⋊Q8C22×C59semidirect
979. C2×#121C22×C59semidirect
980. C2×#121C22×C59semidirect
981. C2×#121C22×C59semidirect
982. C2×#121C22×C59semidirect
983. C2×#121C22×C59semidirect
989. C2×C4×D4C22×C59semidirect
990. C2×C4×D4C22×C59semidirect
991. C2×C4×D4C22×C59semidirect
992. C2×C4×D4C22×C59semidirect
993. C2×C4×D4C22×C59semidirect
994. C2×C4×D4C22×C59semidirect
995. C2×C4×D4C22×C59semidirect
996. C2×C4×D4C22×C59semidirect
997. C2×C4×D4C22×C59semidirect
998. C2×C4×D4C22×C59semidirect
999. C2×C4×D4C22×C59semidirect
1000. C2×C4×D4C22×C59semidirect
1003. C2×#117C22×C59semidirect
1012. #400C22×C59semidirect
1013. #399C22×C59semidirect
1014. #398C22×C59semidirect
1015. #398C22×C59semidirect
1016. #397C22×C59semidirect
1017. #397C22×C59semidirect
1018. #396C22×C59semidirect
1019. #396C22×C59semidirect
1020. #396C22×C59semidirect
1021. #396C22×C59semidirect
1022. #395C22×C59semidirect
1023. #394C22×C59semidirect
1024. #394C22×C59semidirect
1025. #394C22×C59semidirect
1026. #394C22×C59semidirect
1027. #394C22×C59semidirect
1028. #394C22×C59semidirect
1029. #394C22×C59semidirect
1030. #394C22×C59semidirect
1031. #394C22×C59semidirect
1032. #394C22×C59semidirect
1033. #394C22×C59semidirect
1034. #394C22×C59semidirect
1035. #394C22×C59semidirect
1036. #394C22×C59semidirect
1037. #393C22×C59semidirect
1046. #392C22×C59semidirect
1047. #392C22×C59semidirect
1048. #392C22×C59semidirect
1049. #392C22×C59semidirect
1050. #392C22×C59semidirect
1051. #392C22×C59semidirect
1052. #391C22×C59semidirect
1053. #390C22×C59semidirect
1054. #390C22×C59semidirect
1055. #390C22×C59semidirect
1056. #390C22×C59semidirect
1057. #390C22×C59semidirect
1058. #389C22×C59semidirect
1059. #389C22×C59semidirect
1060. #388C22×C59semidirect
1061. #388C22×C59semidirect
1062. #388C22×C59semidirect
1063. #388C22×C59semidirect
1064. #388C22×C59semidirect
1065. #388C22×C59semidirect
1066. #388C22×C59semidirect
1067. #388C22×C59semidirect
1068. #388C22×C59semidirect
1069. #388C22×C59semidirect
1070. #388C22×C59semidirect
1071. #388C22×C59semidirect
1072. #388C22×C59semidirect
1073. #388C22×C59semidirect
1074. #387C22×C59semidirect
1075. #387C22×C59semidirect
1076. #387C22×C59semidirect
1077. #387C22×C59semidirect
1080. #386C22×C59semidirect
1081. #386C22×C59semidirect
1082. #386C22×C59semidirect
1083. #386C22×C59semidirect
1084. #386C22×C59semidirect
1085. #386C22×C59semidirect
1086. #386C22×C59semidirect
1087. #386C22×C59semidirect
1088. #386C22×C59semidirect
1089. #386C22×C59semidirect
1090. #386C22×C59semidirect
1095. #385C22×C59semidirect
1096. #385C22×C59semidirect
1097. #385C22×C59semidirect
1098. #385C22×C59semidirect
1099. #385C22×C59semidirect
1100. #385C22×C59semidirect
1101. #385C22×C59semidirect
1103. #381C22×C59semidirect
1104. #381C22×C59semidirect
1107. #380C22×C59semidirect
1108. #380C22×C59semidirect
1113. C4×C4⋊C4C22×C59semidirect
1116. C4×C22⋊C4C22×C59semidirect
1117. C4×C22⋊C4C22×C59semidirect
1118. C4×C22⋊C4C22×C59semidirect
1119. C4×C22⋊C4C22×C59semidirect
1120. C4×C22⋊C4C22×C59semidirect
1122. C59#35681direct (N × H)
1235. C2×C22⋊C4D4×C59semidirect
1351. C24#41×C59semidirect
1466. C22×C4C2×D4×C59semidirect
1467. C22×C4C2×D4×C59semidirect
1468. C22×C4#41×C59semidirect
1570. C22⋊C4C2×D4×C59semidirect
1571. C22⋊C4C2×D4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#5462
C2×C59×#5182
C59×#26352
C59×#26302
C59×#26132
C59×#26022
C59×#26002
C59×#24642
C59×#24612
C59×#24592
C59×#24572
C59×#24562
C59×#24552
C59×#24382
C59×#24372
C59×#24142
C59×#24122
C59×#24112
C59×#24102
C59×#24072
C59×#24052
C59×#23922
C59×#23882
C2×C59×#3922
C59×#23592
C59×#23582
C59×#23422
D4×C22⋊C4×C592
#3568159