Finite Group Databasebeta

← C59×#35714 #28447823

Subgroups — C59×#35714 #28447823

Order 15104.

3012 conjugacy classes of subgroups.

The subgroup lattice has 1866 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×#2622C211yesmaximal, characteristic, complemented
6C59×#2602C211yesmaximal, characteristic, complemented
7C59×#2600C211yesmaximal, characteristic, complemented
8C59×#2476C211yesmaximal, characteristic, complemented
9C59×#2476C211yesmaximal, characteristic, complemented
10C59×#2474C211yesmaximal, characteristic, complemented
11C59×#2472C211yesmaximal, characteristic, complemented
12C59×#2470C211yesmaximal, characteristic, complemented
13C59×#2450C211yesmaximal, characteristic, complemented
14C59×#2449C211yesmaximal, characteristic, complemented
15C59×#2424C211yesmaximal, characteristic, complemented
16C59×#2424C211yesmaximal, characteristic, complemented
17C59×#2424C211yesmaximal, characteristic, complemented
18C59×#2424C211yesmaximal, characteristic, complemented
19C59×#2418C211yesmaximal, characteristic, complemented
20C59×#2414C211yesmaximal, characteristic, complemented
21C59×#2410C211yesmaximal, characteristic, complemented
22C59×#2407C211yesmaximal, characteristic, complemented
23C59×#2403C211yesmaximal, characteristic, complemented
24C59×#2392C211yesmaximal, characteristic, complemented
25C59×#2388C211yesmaximal, characteristic, complemented
26C2×C59×#394C211yesmaximal, characteristic, complemented
27C59×#2364C211yesmaximal, characteristic, complemented
28C59×#2361C211yesmaximal, characteristic, complemented
29C59×#2358C211yesmaximal, characteristic, complemented
30C59×#2358C211yesmaximal, characteristic, complemented
31C59×#2342C211yesmaximal, characteristic, complemented
32C22×#41×C59C2211yescharacteristic, complemented
33C23×D4×C59C2211yescharacteristic
34C23×D4×C59C2211yescharacteristic
35C59×#546—28no—
36C2×#124×C59C2211yescharacteristic
37C2×#123×C59C2211yescharacteristic
38C2×#123×C59C2211yescharacteristic, complemented
39C2×C22⋊Q8×C59C2211yescharacteristic, complemented
40C2×C22⋊Q8×C59C2211yescharacteristic, complemented
41C2×#121×C59C2211yescharacteristic
42C2×#121×C59C2211yescharacteristic
43C2×#121×C59C2211yescharacteristic
44C2×#121×C59C2211yescharacteristic
45C2×#121×C59C2211yescharacteristic, complemented
46C2×#121×C59C2211yescharacteristic, complemented
47C2×#121×C59C2211yescharacteristic, complemented
48C2×#120×C59C2211yescharacteristic
49C2×#120×C59C2211yescharacteristic
50C2×#120×C59C2211yescharacteristic
51C2×#120×C59C2211yescharacteristic
52C2×#120×C59C2211yescharacteristic
53C2×#120×C59C2211yescharacteristic, complemented
54C2×#120×C59C2211yescharacteristic, complemented
55C59×#518—28no—
56C2×C4×D4×C59C2211yescharacteristic
57C2×C4×D4×C59C2211yescharacteristic
58C2×C4×D4×C59C2211yescharacteristic
59C2×C4×D4×C59C2211yescharacteristic
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×C4×D4×C59C2211yescharacteristic, complemented
69C2×#117×C59C2211yescharacteristic, complemented
70C2×#117×C59C2211yescharacteristic, complemented
71C2×#117×C59C2211yescharacteristic, complemented
72C22×C4⋊C4×C59C2211yescharacteristic, complemented
73C22×C22⋊C4×C59C2211yescharacteristic
74C22×C22⋊C4×C59C2211yescharacteristic
75C22×C22⋊C4×C59C2211yescharacteristic
76C22×C22⋊C4×C59C2211yescharacteristic, complemented
77C22×C22⋊C4×C59C2211yescharacteristic, complemented
78C22×C22⋊C4×C59C2211yescharacteristic, complemented
79C22×C22⋊C4×C59C2211yescharacteristic, complemented
80C22×C22⋊C4×C59C2211yescharacteristic, complemented
81C59×#400C2211yescharacteristic, complemented
82C59×#399C2211yescharacteristic, complemented
83C59×#398C2211yescharacteristic, complemented
84C59×#398C2211yescharacteristic, complemented
85C59×#397C2211yescharacteristic, complemented
86C59×#397C2211yescharacteristic, complemented
87C59×#397C2211yescharacteristic, complemented
88C59×#397C2211yescharacteristic, complemented
89C59×#396C2211yescharacteristic, complemented
90C59×#396C2211yescharacteristic, complemented
91C59×#396C2211yescharacteristic, complemented
92C59×#396C2211yescharacteristic, complemented
93C59×#395C2211yescharacteristic, complemented
94C59×#394C2211yescharacteristic
95C59×#394C2211yescharacteristic
96C59×#394C2211yescharacteristic
97C59×#394C2211yescharacteristic
98C59×#394C2211yescharacteristic, complemented
99C59×#394C2211yescharacteristic, complemented
100C59×#394C2211yescharacteristic, complemented
101C59×#394C2211yescharacteristic, complemented
102C59×#394C2211yescharacteristic, complemented
103C59×#394C2211yescharacteristic, complemented
104C59×#394C2211yescharacteristic, complemented
105C59×#394C2211yescharacteristic, complemented
106C59×#394C2211yescharacteristic, complemented
107C59×#394C2211yescharacteristic, complemented
108C59×#394C2211yescharacteristic, complemented
109C59×#394C2211yescharacteristic, complemented
110C59×#394C2211yescharacteristic, complemented
111C59×#394C2211yescharacteristic, complemented
112C59×#393C2211yescharacteristic, complemented
113C59×#392C2211yescharacteristic
114C59×#392C2211yescharacteristic
115C59×#392C2211yescharacteristic
116C59×#392C2211yescharacteristic
117C59×#392C2211yescharacteristic, complemented
118C59×#392C2211yescharacteristic, complemented
119C59×#392C2211yescharacteristic, complemented
120C59×#392C2211yescharacteristic, complemented
121C59×#391C2211yescharacteristic, complemented
122C59×#390C2211yescharacteristic, complemented
123C59×#390C2211yescharacteristic, complemented
124C59×#390C2211yescharacteristic, complemented
125C59×#390C2211yescharacteristic, complemented
126C59×#390C2211yescharacteristic, complemented
127C59×#389C2211yescharacteristic, complemented
128C59×#389C2211yescharacteristic, 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×#388C2211yescharacteristic, complemented
142C59×#388C2211yescharacteristic, complemented
143C59×#387C2211yescharacteristic, complemented
144C59×#387C2211yescharacteristic, complemented
145C59×#387C2211yescharacteristic, complemented
146C59×#387C2211yescharacteristic, complemented
147C59×#386C2211yescharacteristic
148C59×#386C2211yescharacteristic
149C59×#386C2211yescharacteristic
150C59×#386C2211yescharacteristic
151C59×#386C2211yescharacteristic
152C59×#386C2211yescharacteristic
153C59×#386C2211yescharacteristic, complemented
154C59×#386C2211yescharacteristic, complemented
155C59×#386C2211yescharacteristic, complemented
156C59×#386C2211yescharacteristic, complemented
157C59×#386C2211yescharacteristic, complemented
158C59×#386C2211yescharacteristic, complemented
159C59×#386C2211yescharacteristic, complemented
160C59×#386C2211yescharacteristic, complemented
161C59×#386C2211yescharacteristic, complemented
162C59×#386C2211yescharacteristic, complemented
163C59×#386C2211yescharacteristic, complemented
164C59×#385C2211yescharacteristic, complemented
165C59×#385C2211yescharacteristic, complemented
166C59×#385C2211yescharacteristic, complemented
167C59×#385C2211yescharacteristic, complemented
168C59×#385C2211yescharacteristic, complemented
169C59×#385C2211yescharacteristic, complemented
170C59×#385C2211yescharacteristic, complemented
171C59×#385C2211yescharacteristic, complemented
172C59×#385C2211yescharacteristic, complemented
173C59×#385C2211yescharacteristic, complemented
174C59×#385C2211yescharacteristic, complemented
175C59×#381C2211yescharacteristic, complemented
176C59×#380C2211yescharacteristic, complemented
177C59×#380C2211yescharacteristic, complemented
178C59×#379C2211yescharacteristic
179C59×#379C2211yescharacteristic, complemented
180C4×C4⋊C4×C59C2211yescharacteristic, complemented
181C4×C22⋊C4×C59C2211yescharacteristic, complemented
182C4×C22⋊C4×C59C2211yescharacteristic, complemented
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, complemented
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—42no—
201C22×D4×C59—42no—
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
216C22×D4×C59C2311yescharacteristic
217C22×D4×C59C2311yescharacteristic
218C22×D4×C59C2311yescharacteristic
219C22×D4×C59C2311yescharacteristic
220C22×D4×C59C2311yescharacteristic
221C23×C4×C59C2311yescharacteristic
222C23×C4×C59C2311yescharacteristic
223C23×C4×C59C2311yescharacteristic
224C23×C4×C59C2311yescharacteristic
225C23×C4×C59C2311yescharacteristic
226C23×C4×C59C2311yescharacteristic
227C23×C4×C59C2311yescharacteristic
228C23×C4×C59C2311yescharacteristic
229C23×C4×C59C2311yescharacteristic
230C23×C4×C59C2311yescharacteristic
231C23×C4×C59C2311yescharacteristic
232C23×C4×C59C2311yescharacteristic
233C23×C4×C59C2311yescharacteristic
234C23×C4×C59C2311yescharacteristic
235C23×C4×C59C2311yescharacteristic
236#124×C59—24no—
237#123×C59—24no—
238#123×C59—24no—
239C22⋊Q8×C59—24no—
240C22⋊Q8×C59—42no—
241#121×C59—24no—
242#121×C59—24no—
243#121×C59—24no—
244#121×C59—24no—
245#121×C59—24no—
246#121×C59—42no—
247#121×C59—42no—
248#120×C59—24no—
249#120×C59—24no—
250#120×C59—24no—
251#120×C59—24no—
252#120×C59—42no—
253#120×C59—42no—
254#120×C59—42no—
255C4×D4×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—42no—
266C4×D4×C59—42no—
267C4×D4×C59—42no—
268#117×C59—24no—
269#117×C59—24no—
270#117×C59—42no—
271C2×C4⋊C4×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—42no—
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—22no—
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×C59—41no—
417C24×C59C2×D414yes—
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—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×C59—41no—
484C2×D4×C59—41no—
485C2×D4×C59—41no—
486C2×D4×C59—416no—
487C2×D4×C59#4114yescomplemented
488C2×D4×C59#4114yescomplemented
489C22×C4×C59—22no—
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×D414yes—
533C22×C4×C59C2×D414yes—
534C22×C4×C59C2411yescharacteristic
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
557C4⋊C4×C59—22no—
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—41no—
571C4⋊C4×C59—41no—
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—
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—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—22no—
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×C59C2×D414yes—
634C22⋊C4×C59C2×D414yes—
635C22⋊C4×C59C2×D414yes—
636C22⋊C4×C59C2×D414yes—
637C42×C59—22no—
638C42×C59—22no—
639C42×C59—22no—
640C42×C59—22no—
641C42×C59—22no—
642C42×C59—22no—
643C42×C59—41no—
644C42×C59—41no—
645C42×C59—41no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—28no—
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—21no—
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—44no—
697C23×C59—44no—
698C23×C59—44no—
699C23×C59—44no—
700C23×C59—44no—
701C23×C59—44no—
702C23×C59—82no—
703C23×C59—82no—
704C23×C59—82no—
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×C59C22×D412yes—
716C23×C59C22×D412yes—
717C23×C59C22×D412yes—
718C23×C59C2×#4112yes—
719C23×C59C2×#4112yes—
720C23×C59C2×#4112yes—
721C23×C59C2×#4112yes—
722C23×C59H(5,𝔽2)12yes—
723C23×C59C2511yescharacteristic
724Q8×C59—44no—
725D4×C59—28no—
726D4×C59—28no—
727D4×C59—28no—
728D4×C59—28no—
729D4×C59—28no—
730D4×C59—44no—
731D4×C59—44no—
732D4×C59—44no—
733D4×C59—44no—
734D4×C59—44no—
735D4×C59—44no—
736D4×C59—44no—
737D4×C59—44no—
738D4×C59—44no—
739D4×C59—82no—
740D4×C59—82no—
741D4×C59—82no—
742D4×C59—82no—
743D4×C59—82no—
744C2×C4×C59—28no—
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—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—44no—
807C2×C4×C59—44no—
808C2×C4×C59—44no—
809C2×C4×C59—44no—
810C2×C4×C59—44no—
811C2×C4×C59—44no—
812C2×C4×C59—82no—
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×C59C22×D412yes—
821C2×C4×C59C22×D412yes—
822C2×C4×C59C22×D412yes—
823C2×C4×C59C22×D412yes—
824C2×C4×C59C2×#4112yes—
825C2×C4×C59C2×#4112yes—
826C2×C4×C59H(5,𝔽2)12yes—
827C2×C4×C59H(5,𝔽2)12yes—
828#35714C5911yesmaximal, characteristic, direct product factor, Sylow
829C22×C59—22no—
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—41no—
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—88no—
885C22×C59—88no—
886C22×C59—88no—
887C22×C59#52514yes—
888C22×C59C23×D411yescharacteristic
889C22×C59C22×#4111yescharacteristic
890C22×C59C22×#4111yescharacteristic
891C22×C59C2×H(5,𝔽2)11yescharacteristic
892C22×C59C2×H(5,𝔽2)11yescharacteristic
893C22×C59C2×H(5,𝔽2)11yescharacteristic
894C22×C59#58511yescharacteristic
895C4×C59—22no—
896C4×C59—22no—
897C4×C59—22no—
898C4×C59—22no—
899C4×C59—22no—
900C4×C59—22no—
901C4×C59—22no—
902C4×C59—22no—
903C4×C59—41no—
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—
918C2×#546C2×C5911yescharacteristic, complemented
919C2×#518C2×C5911yescharacteristic, complemented
920#2635C2×C5911yescharacteristic, complemented
921#2630C2×C5911yescharacteristic, complemented
922#2622C2×C5911yescharacteristic, complemented
923#2602C2×C5911yescharacteristic, complemented
924#2600C2×C5911yescharacteristic, complemented
925#2476C2×C5911yescharacteristic, complemented
926#2476C2×C5911yescharacteristic, complemented
927#2474C2×C5911yescharacteristic, complemented
928#2472C2×C5911yescharacteristic, complemented
929#2470C2×C5911yescharacteristic, complemented
930#2450C2×C5911yescharacteristic, complemented
931#2449C2×C5911yescharacteristic, complemented
932#2424C2×C5911yescharacteristic, complemented
933#2424C2×C5911yescharacteristic, complemented
934#2424C2×C5911yescharacteristic, complemented
935#2424C2×C5911yescharacteristic, complemented
936#2418C2×C5911yescharacteristic, complemented
937#2414C2×C5911yescharacteristic, complemented
938#2410C2×C5911yescharacteristic, complemented
939#2407C2×C5911yescharacteristic, complemented
940#2403C2×C5911yescharacteristic, complemented
941#2392C2×C5911yescharacteristic, complemented
942#2388C2×C5911yescharacteristic, complemented
943C2×#394C2×C5911yescharacteristic, complemented
944#2364C2×C5911yescharacteristic, complemented
945#2361C2×C5911yescharacteristic, complemented
946#2358C2×C5911yescharacteristic, complemented
947#2358C2×C5911yescharacteristic, complemented
948#2342C2×C5911yescharacteristic, complemented
949C2×C59—24no—
950C2×C59—42no—
951C2×C59—42no—
952C2×C59—42no—
953C2×C59—42no—
954C2×C59—42no—
955C2×C59—81no—
956C2×C59—81no—
957C2×C59C2×#52511yescharacteristic
958C2×C59#348411yescharacteristic
959C2×C59#349611yescharacteristic
960C2×C59#351311yescharacteristic
961C2×C59#351411yescharacteristic
962C2×C59#351911yescharacteristic
963C2×C59#351911yescharacteristic
964C22×#41C22×C5911yescharacteristic, complemented
965C23×D4C22×C5911yescharacteristic
966C23×D4C22×C5911yescharacteristic
967#546—28no—
968C2×#124C22×C5911yescharacteristic
969C2×#123C22×C5911yescharacteristic
970C2×#123C22×C5911yescharacteristic, complemented
971C2×C22⋊Q8C22×C5911yescharacteristic, complemented
972C2×C22⋊Q8C22×C5911yescharacteristic, complemented
973C2×#121C22×C5911yescharacteristic
974C2×#121C22×C5911yescharacteristic
975C2×#121C22×C5911yescharacteristic
976C2×#121C22×C5911yescharacteristic
977C2×#121C22×C5911yescharacteristic, complemented
978C2×#121C22×C5911yescharacteristic, complemented
979C2×#121C22×C5911yescharacteristic, complemented
980C2×#120C22×C5911yescharacteristic
981C2×#120C22×C5911yescharacteristic
982C2×#120C22×C5911yescharacteristic
983C2×#120C22×C5911yescharacteristic
984C2×#120C22×C5911yescharacteristic
985C2×#120C22×C5911yescharacteristic, complemented
986C2×#120C22×C5911yescharacteristic, complemented
987#518—28no—
988C2×C4×D4C22×C5911yescharacteristic
989C2×C4×D4C22×C5911yescharacteristic
990C2×C4×D4C22×C5911yescharacteristic
991C2×C4×D4C22×C5911yescharacteristic
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, complemented
1002C2×#117C22×C5911yescharacteristic, complemented
1003C2×#117C22×C5911yescharacteristic, complemented
1004C22×C4⋊C4C22×C5911yescharacteristic, complemented
1005C22×C22⋊C4C22×C5911yescharacteristic
1006C22×C22⋊C4C22×C5911yescharacteristic
1007C22×C22⋊C4C22×C5911yescharacteristic
1008C22×C22⋊C4C22×C5911yescharacteristic, complemented
1009C22×C22⋊C4C22×C5911yescharacteristic, complemented
1010C22×C22⋊C4C22×C5911yescharacteristic, complemented
1011C22×C22⋊C4C22×C5911yescharacteristic, complemented
1012C22×C22⋊C4C22×C5911yescharacteristic, complemented
1013#400C22×C5911yescharacteristic, complemented
1014#399C22×C5911yescharacteristic, complemented
1015#398C22×C5911yescharacteristic, complemented
1016#398C22×C5911yescharacteristic, complemented
1017#397C22×C5911yescharacteristic, complemented
1018#397C22×C5911yescharacteristic, complemented
1019#397C22×C5911yescharacteristic, complemented
1020#397C22×C5911yescharacteristic, complemented
1021#396C22×C5911yescharacteristic, complemented
1022#396C22×C5911yescharacteristic, complemented
1023#396C22×C5911yescharacteristic, complemented
1024#396C22×C5911yescharacteristic, complemented
1025#395C22×C5911yescharacteristic, complemented
1026#394C22×C5911yescharacteristic
1027#394C22×C5911yescharacteristic
1028#394C22×C5911yescharacteristic
1029#394C22×C5911yescharacteristic
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#394C22×C5911yescharacteristic, complemented
1038#394C22×C5911yescharacteristic, complemented
1039#394C22×C5911yescharacteristic, complemented
1040#394C22×C5911yescharacteristic, complemented
1041#394C22×C5911yescharacteristic, complemented
1042#394C22×C5911yescharacteristic, complemented
1043#394C22×C5911yescharacteristic, complemented
1044#393C22×C5911yescharacteristic, complemented
1045#392C22×C5911yescharacteristic
1046#392C22×C5911yescharacteristic
1047#392C22×C5911yescharacteristic
1048#392C22×C5911yescharacteristic
1049#392C22×C5911yescharacteristic, complemented
1050#392C22×C5911yescharacteristic, complemented
1051#392C22×C5911yescharacteristic, complemented
1052#392C22×C5911yescharacteristic, complemented
1053#391C22×C5911yescharacteristic, complemented
1054#390C22×C5911yescharacteristic, complemented
1055#390C22×C5911yescharacteristic, complemented
1056#390C22×C5911yescharacteristic, complemented
1057#390C22×C5911yescharacteristic, complemented
1058#390C22×C5911yescharacteristic, complemented
1059#389C22×C5911yescharacteristic, complemented
1060#389C22×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#388C22×C5911yescharacteristic, complemented
1075#387C22×C5911yescharacteristic, complemented
1076#387C22×C5911yescharacteristic, complemented
1077#387C22×C5911yescharacteristic, complemented
1078#387C22×C5911yescharacteristic, complemented
1079#386C22×C5911yescharacteristic
1080#386C22×C5911yescharacteristic
1081#386C22×C5911yescharacteristic
1082#386C22×C5911yescharacteristic
1083#386C22×C5911yescharacteristic
1084#386C22×C5911yescharacteristic
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#386C22×C5911yescharacteristic, complemented
1092#386C22×C5911yescharacteristic, complemented
1093#386C22×C5911yescharacteristic, complemented
1094#386C22×C5911yescharacteristic, complemented
1095#386C22×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#385C22×C5911yescharacteristic, complemented
1103#385C22×C5911yescharacteristic, complemented
1104#385C22×C5911yescharacteristic, complemented
1105#385C22×C5911yescharacteristic, complemented
1106#385C22×C5911yescharacteristic, complemented
1107#381C22×C5911yescharacteristic, complemented
1108#380C22×C5911yescharacteristic, complemented
1109#380C22×C5911yescharacteristic, complemented
1110#379C22×C5911yescharacteristic
1111#379C22×C5911yescharacteristic, complemented
1112C4×C4⋊C4C22×C5911yescharacteristic, complemented
1113C4×C22⋊C4C22×C5911yescharacteristic, complemented
1114C4×C22⋊C4C22×C5911yescharacteristic, complemented
1115C4×C22⋊C4C22×C5911yescharacteristic, complemented
1116C4×C22⋊C4C22×C5911yescharacteristic, complemented
1117C4×C22⋊C4C22×C5911yescharacteristic, complemented
1118C4×C22⋊C4C22×C5911yescharacteristic, complemented
1119C4×C22⋊C4C22×C5911yescharacteristic, complemented
1120C2×#95C22×C5911yescharacteristic, complemented
1121C59#3571411yescharacteristic, direct product factor, Sylow
1122C25C23×C5911yescharacteristic
1123C25C23×C5911yescharacteristic
1124C25C23×C5911yescharacteristic
1125C2×#41—24no—
1126C2×#41—42no—
1127C2×#41—42no—
1128C22×Q8C23×C5911yescharacteristic
1129C22×D4—24no—
1130C22×D4—24no—
1131C22×D4—24no—
1132C22×D4—24no—
1133C22×D4—42no—
1134C22×D4—42no—
1135C22×D4C23×C5911yescharacteristic
1136C22×D4C23×C5911yescharacteristic
1137C22×D4C23×C5911yescharacteristic
1138C22×D4C23×C5911yescharacteristic
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
1154C23×C4C23×C5911yescharacteristic
1155C23×C4C23×C5911yescharacteristic
1156C23×C4C23×C5911yescharacteristic
1157C23×C4C23×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
1169#124—24no—
1170#123—24no—
1171#123—24no—
1172C22⋊Q8—24no—
1173C22⋊Q8—42no—
1174#121—24no—
1175#121—24no—
1176#121—24no—
1177#121—24no—
1178#121—24no—
1179#121—42no—
1180#121—42no—
1181#120—24no—
1182#120—24no—
1183#120—24no—
1184#120—24no—
1185#120—42no—
1186#120—42no—
1187#120—42no—
1188C4×D4—24no—
1189C4×D4—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—42no—
1199C4×D4—42no—
1200C4×D4—42no—
1201#117—24no—
1202#117—24no—
1203#117—42no—
1204C2×C4⋊C4—42no—
1205C2×C4⋊C4C23×C5911yescharacteristic
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×C22⋊C4—24no—
1228C2×C22⋊C4—24no—
1229C2×C22⋊C4—24no—
1230C2×C22⋊C4—24no—
1231C2×C22⋊C4—42no—
1232C2×C22⋊C4—42no—
1233C2×C22⋊C4—42no—
1234C2×C22⋊C4D4×C5918yescomplemented
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×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×C42C23×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
1302#95C23×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
1330C24—22no—
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—
1351C24C24×C5911yescharacteristic
1352C24C24×C5911yescharacteristic
1353C24C24×C5911yescharacteristic
1354C24C24×C5911yescharacteristic
1355C24C24×C5911yescharacteristic
1356C24C24×C5911yescharacteristic
1357C24C24×C5911yescharacteristic
1358C24C24×C5911yescharacteristic
1359#41—416no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—41no—
1363C2×D4—232no—
1364C2×D4—22no—
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—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
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—416no—
1420C2×D4#41×C5914yescomplemented
1421C2×D4#41×C5914yescomplemented
1422C22×C4—22no—
1423C22×C4—22no—
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—41no—
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×C4C2×D4×C5914yes—
1466C22×C4C2×D4×C5914yes—
1467C22×C4C24×C5911yescharacteristic
1468C22×C4C24×C5911yescharacteristic
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
1490C4⋊C4—22no—
1491C4⋊C4—22no—
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—41no—
1504C4⋊C4—41no—
1505C4⋊C4—41no—
1506C4⋊C4—41no—
1507C4⋊C4—41no—
1508C4⋊C4—41no—
1509C4⋊C4—41no—
1510C4⋊C4—41no—
1511C4⋊C4—41no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
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⋊C4C2×D4×C5914yes—
1567C22⋊C4C2×D4×C5914yes—
1568C22⋊C4C2×D4×C5914yes—
1569C22⋊C4C2×D4×C5914yes—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—41no—
1577C42—41no—
1578C42—41no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—28no—
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—28no—
1615C23—21no—
1616C23—21no—
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—44no—
1630C23—44no—
1631C23—44no—
1632C23—44no—
1633C23—44no—
1634C23—44no—
1635C23—82no—
1636C23—82no—
1637C23—82no—
1638C23—82no—
1639C23—82no—
1640C23—82no—
1641C23—82no—
1642C23—82no—
1643C23—82no—
1644C23—82no—
1645C23—82no—
1646C23—82no—
1647C23—82no—
1648C23C22×D4×C5912yes—
1649C23C22×D4×C5912yes—
1650C23C22×D4×C5912yes—
1651C23C2×#41×C5912yes—
1652C23C2×#41×C5912yes—
1653C23C2×#41×C5912yes—
1654C23C2×#41×C5912yes—
1655C23H(5,𝔽2)×C5912yes—
1656C23C25×C5911yescharacteristic
1657Q8—44no—
1658D4—28no—
1659D4—28no—
1660D4—28no—
1661D4—28no—
1662D4—28no—
1663D4—44no—
1664D4—44no—
1665D4—44no—
1666D4—44no—
1667D4—44no—
1668D4—44no—
1669D4—44no—
1670D4—44no—
1671D4—44no—
1672D4—82no—
1673D4—82no—
1674D4—82no—
1675D4—82no—
1676D4—82no—
1677C2×C4—28no—
1678C2×C4—21no—
1679C2×C4—21no—
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—44no—
1740C2×C4—44no—
1741C2×C4—44no—
1742C2×C4—44no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—82no—
1746C2×C4—82no—
1747C2×C4—82no—
1748C2×C4—82no—
1749C2×C4—82no—
1750C2×C4—82no—
1751C2×C4—82no—
1752C2×C4—82no—
1753C2×C4C22×D4×C5912yes—
1754C2×C4C22×D4×C5912yes—
1755C2×C4C22×D4×C5912yes—
1756C2×C4C22×D4×C5912yes—
1757C2×C4C2×#41×C5912yes—
1758C2×C4C2×#41×C5912yes—
1759C2×C4H(5,𝔽2)×C5912yes—
1760C2×C4H(5,𝔽2)×C5912yes—
1761C22—22no—
1762C22—22no—
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—41no—
1783C22—41no—
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—88no—
1817C22—88no—
1818C22—88no—
1819C22C59×#52514yes—
1820C22C23×D4×C5911yescharacteristic
1821C22C22×#41×C5911yescharacteristic
1822C22C22×#41×C5911yescharacteristic
1823C22C2×H(5,𝔽2)×C5911yescharacteristic
1824C22C2×H(5,𝔽2)×C5911yescharacteristic
1825C22C2×H(5,𝔽2)×C5911yescharacteristic
1826C22C59×#58511yescharacteristic
1827C4—22no—
1828C4—22no—
1829C4—22no—
1830C4—22no—
1831C4—22no—
1832C4—22no—
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
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—
1850C2—24no—
1851C2—42no—
1852C2—42no—
1853C2—42no—
1854C2—42no—
1855C2—42no—
1856C2—81no—
1857C2—81no—
1858C2C2×C59×#52511yescharacteristic
1859C2C59×#348411yescharacteristic
1860C2C59×#349611yescharacteristic
1861C2C59×#351311yescharacteristic
1862C2C59×#351411yescharacteristic
1863C2C59×#351911yescharacteristic
1864C2C59×#351911yescharacteristic
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×#2622C2semidirect
6. C59×#2602C2semidirect
7. C59×#2600C2semidirect
8. C59×#2476C2semidirect
9. C59×#2476C2semidirect
10. C59×#2474C2semidirect
11. C59×#2472C2semidirect
12. C59×#2470C2semidirect
13. C59×#2450C2semidirect
14. C59×#2449C2semidirect
15. C59×#2424C2semidirect
16. C59×#2424C2semidirect
17. C59×#2424C2semidirect
18. C59×#2424C2semidirect
19. C59×#2418C2semidirect
20. C59×#2414C2semidirect
21. C59×#2410C2semidirect
22. C59×#2407C2semidirect
23. C59×#2403C2semidirect
24. C59×#2392C2semidirect
25. C59×#2388C2semidirect
26. C2×C59×#394C2semidirect
27. C59×#2364C2semidirect
28. C59×#2361C2semidirect
29. C59×#2358C2semidirect
30. C59×#2358C2semidirect
31. C59×#2342C2semidirect
32. C22×#41×C59C22semidirect
38. C2×#123×C59C22semidirect
39. C2×C22⋊Q8×C59C22semidirect
40. C2×C22⋊Q8×C59C22semidirect
45. C2×#121×C59C22semidirect
46. C2×#121×C59C22semidirect
47. C2×#121×C59C22semidirect
53. C2×#120×C59C22semidirect
54. C2×#120×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
68. C2×C4×D4×C59C22semidirect
69. C2×#117×C59C22semidirect
70. C2×#117×C59C22semidirect
71. C2×#117×C59C22semidirect
72. C22×C4⋊C4×C59C22semidirect
76. C22×C22⋊C4×C59C22semidirect
77. C22×C22⋊C4×C59C22semidirect
78. C22×C22⋊C4×C59C22semidirect
79. C22×C22⋊C4×C59C22semidirect
80. C22×C22⋊C4×C59C22semidirect
81. C59×#400C22semidirect
82. C59×#399C22semidirect
83. C59×#398C22semidirect
84. C59×#398C22semidirect
85. C59×#397C22semidirect
86. C59×#397C22semidirect
87. C59×#397C22semidirect
88. C59×#397C22semidirect
89. C59×#396C22semidirect
90. C59×#396C22semidirect
91. C59×#396C22semidirect
92. C59×#396C22semidirect
93. C59×#395C22semidirect
98. C59×#394C22semidirect
99. C59×#394C22semidirect
100. C59×#394C22semidirect
101. C59×#394C22semidirect
102. C59×#394C22semidirect
103. C59×#394C22semidirect
104. C59×#394C22semidirect
105. C59×#394C22semidirect
106. C59×#394C22semidirect
107. C59×#394C22semidirect
108. C59×#394C22semidirect
109. C59×#394C22semidirect
110. C59×#394C22semidirect
111. C59×#394C22semidirect
112. C59×#393C22semidirect
117. C59×#392C22semidirect
118. C59×#392C22semidirect
119. C59×#392C22semidirect
120. C59×#392C22semidirect
121. C59×#391C22semidirect
122. C59×#390C22semidirect
123. C59×#390C22semidirect
124. C59×#390C22semidirect
125. C59×#390C22semidirect
126. C59×#390C22semidirect
127. C59×#389C22semidirect
128. C59×#389C22semidirect
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×#388C22semidirect
142. C59×#388C22semidirect
143. C59×#387C22semidirect
144. C59×#387C22semidirect
145. C59×#387C22semidirect
146. C59×#387C22semidirect
153. C59×#386C22semidirect
154. C59×#386C22semidirect
155. C59×#386C22semidirect
156. C59×#386C22semidirect
157. C59×#386C22semidirect
158. C59×#386C22semidirect
159. C59×#386C22semidirect
160. C59×#386C22semidirect
161. C59×#386C22semidirect
162. C59×#386C22semidirect
163. C59×#386C22semidirect
164. C59×#385C22semidirect
165. C59×#385C22semidirect
166. C59×#385C22semidirect
167. C59×#385C22semidirect
168. C59×#385C22semidirect
169. C59×#385C22semidirect
170. C59×#385C22semidirect
171. C59×#385C22semidirect
172. C59×#385C22semidirect
173. C59×#385C22semidirect
174. C59×#385C22semidirect
175. C59×#381C22semidirect
176. C59×#380C22semidirect
177. C59×#380C22semidirect
179. C59×#379C22semidirect
180. C4×C4⋊C4×C59C22semidirect
181. C4×C22⋊C4×C59C22semidirect
182. C4×C22⋊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
188. C2×#95×C59C22semidirect
301. C2×C22⋊C4×C59D4semidirect
487. C2×D4×C59#41semidirect
488. C2×D4×C59#41semidirect
828. #35714C59direct (N × H)
918. C2×#546C2×C59semidirect
919. C2×#518C2×C59semidirect
920. #2635C2×C59semidirect
921. #2630C2×C59semidirect
922. #2622C2×C59semidirect
923. #2602C2×C59semidirect
924. #2600C2×C59semidirect
925. #2476C2×C59semidirect
926. #2476C2×C59semidirect
927. #2474C2×C59semidirect
928. #2472C2×C59semidirect
929. #2470C2×C59semidirect
930. #2450C2×C59semidirect
931. #2449C2×C59semidirect
932. #2424C2×C59semidirect
933. #2424C2×C59semidirect
934. #2424C2×C59semidirect
935. #2424C2×C59semidirect
936. #2418C2×C59semidirect
937. #2414C2×C59semidirect
938. #2410C2×C59semidirect
939. #2407C2×C59semidirect
940. #2403C2×C59semidirect
941. #2392C2×C59semidirect
942. #2388C2×C59semidirect
943. C2×#394C2×C59semidirect
944. #2364C2×C59semidirect
945. #2361C2×C59semidirect
946. #2358C2×C59semidirect
947. #2358C2×C59semidirect
948. #2342C2×C59semidirect
964. C22×#41C22×C59semidirect
970. C2×#123C22×C59semidirect
971. C2×C22⋊Q8C22×C59semidirect
972. C2×C22⋊Q8C22×C59semidirect
977. C2×#121C22×C59semidirect
978. C2×#121C22×C59semidirect
979. C2×#121C22×C59semidirect
985. C2×#120C22×C59semidirect
986. C2×#120C22×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
1001. C2×#117C22×C59semidirect
1002. C2×#117C22×C59semidirect
1003. C2×#117C22×C59semidirect
1004. C22×C4⋊C4C22×C59semidirect
1008. C22×C22⋊C4C22×C59semidirect
1009. C22×C22⋊C4C22×C59semidirect
1010. C22×C22⋊C4C22×C59semidirect
1011. C22×C22⋊C4C22×C59semidirect
1012. C22×C22⋊C4C22×C59semidirect
1013. #400C22×C59semidirect
1014. #399C22×C59semidirect
1015. #398C22×C59semidirect
1016. #398C22×C59semidirect
1017. #397C22×C59semidirect
1018. #397C22×C59semidirect
1019. #397C22×C59semidirect
1020. #397C22×C59semidirect
1021. #396C22×C59semidirect
1022. #396C22×C59semidirect
1023. #396C22×C59semidirect
1024. #396C22×C59semidirect
1025. #395C22×C59semidirect
1030. #394C22×C59semidirect
1031. #394C22×C59semidirect
1032. #394C22×C59semidirect
1033. #394C22×C59semidirect
1034. #394C22×C59semidirect
1035. #394C22×C59semidirect
1036. #394C22×C59semidirect
1037. #394C22×C59semidirect
1038. #394C22×C59semidirect
1039. #394C22×C59semidirect
1040. #394C22×C59semidirect
1041. #394C22×C59semidirect
1042. #394C22×C59semidirect
1043. #394C22×C59semidirect
1044. #393C22×C59semidirect
1049. #392C22×C59semidirect
1050. #392C22×C59semidirect
1051. #392C22×C59semidirect
1052. #392C22×C59semidirect
1053. #391C22×C59semidirect
1054. #390C22×C59semidirect
1055. #390C22×C59semidirect
1056. #390C22×C59semidirect
1057. #390C22×C59semidirect
1058. #390C22×C59semidirect
1059. #389C22×C59semidirect
1060. #389C22×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. #388C22×C59semidirect
1075. #387C22×C59semidirect
1076. #387C22×C59semidirect
1077. #387C22×C59semidirect
1078. #387C22×C59semidirect
1085. #386C22×C59semidirect
1086. #386C22×C59semidirect
1087. #386C22×C59semidirect
1088. #386C22×C59semidirect
1089. #386C22×C59semidirect
1090. #386C22×C59semidirect
1091. #386C22×C59semidirect
1092. #386C22×C59semidirect
1093. #386C22×C59semidirect
1094. #386C22×C59semidirect
1095. #386C22×C59semidirect
1096. #385C22×C59semidirect
1097. #385C22×C59semidirect
1098. #385C22×C59semidirect
1099. #385C22×C59semidirect
1100. #385C22×C59semidirect
1101. #385C22×C59semidirect
1102. #385C22×C59semidirect
1103. #385C22×C59semidirect
1104. #385C22×C59semidirect
1105. #385C22×C59semidirect
1106. #385C22×C59semidirect
1107. #381C22×C59semidirect
1108. #380C22×C59semidirect
1109. #380C22×C59semidirect
1111. #379C22×C59semidirect
1112. C4×C4⋊C4C22×C59semidirect
1113. C4×C22⋊C4C22×C59semidirect
1114. C4×C22⋊C4C22×C59semidirect
1115. C4×C22⋊C4C22×C59semidirect
1116. C4×C22⋊C4C22×C59semidirect
1117. C4×C22⋊C4C22×C59semidirect
1118. C4×C22⋊C4C22×C59semidirect
1119. C4×C22⋊C4C22×C59semidirect
1120. C2×#95C22×C59semidirect
1121. C59#35714direct (N × H)
1234. C2×C22⋊C4D4×C59semidirect
1420. C2×D4#41×C59semidirect
1421. C2×D4#41×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×#26222
C59×#26022
C59×#26002
C59×#24762
C59×#24742
C59×#24722
C59×#24702
C59×#24502
C59×#24492
C59×#24242
C59×#24182
C59×#24142
C59×#24102
C59×#24072
C59×#24032
C59×#23922
C59×#23882
C2×C59×#3942
C59×#23642
C59×#23612
C59×#23582
C59×#23422
#3571459