Finite Group Databasebeta

← C13×#34492 #15720831

Subgroups — C13×#34492 #15720831

Order 3328.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C13×#546C211yesmaximal, characteristic
2C13×#2378C211yesmaximal, characteristic, complemented
3C13×#2377C211yesmaximal, characteristic, complemented
4C13×#2376C211yesmaximal, characteristic, complemented
5C13×#2375C211yesmaximal, characteristic, complemented
6C13×#2372C211yesmaximal, characteristic, complemented
7C13×#2364C211yesmaximal, characteristic, complemented
8C13×#2363C211yesmaximal, characteristic, complemented
9C13×#2359C211yesmaximal, characteristic, complemented
10C13×#2358C211yesmaximal, characteristic, complemented
11C13×#2353C211yesmaximal, characteristic, complemented
12C13×#2353C211yesmaximal, characteristic, complemented
13C13×#2342C211yesmaximal, characteristic, complemented
14C13×#2342C211yesmaximal, characteristic, complemented
15C13×#2339C211yesmaximal, characteristic, complemented
16D4×C13×C22⋊C4C211yesmaximal, characteristic, complemented
17C13×#2337C211yesmaximal, characteristic, complemented
18C13×#2335C211yesmaximal, characteristic, complemented
19C13×#2333C211yesmaximal, characteristic, complemented
20C13×#2332C211yesmaximal, characteristic, complemented
21C13×#2325C211yesmaximal, characteristic, complemented
22C13×#2322C211yesmaximal, characteristic, complemented
23C13×#2321C211yesmaximal, characteristic, complemented
24C13×#2321C211yesmaximal, characteristic, complemented
25C13×#2319C211yesmaximal, characteristic, complemented
26C13×#2312C211yesmaximal, characteristic, complemented
27C13×#2311C211yesmaximal, characteristic, complemented
28C13×#2308C211yesmaximal, characteristic, complemented
29C4×C13×#121C211yesmaximal, characteristic, complemented
30C13×#2290C211yesmaximal, characteristic, complemented
31C2×C13×#388C211yesmaximal, characteristic, complemented
32C22×C13×#41C2211yescharacteristic
33C23×D4×C13C2211yescharacteristic
34C13×#546C4116yescomplemented
35C2×C13×#124C2211yescharacteristic
36C2×C13×#123C2211yescharacteristic
37C2×C13×#123C2211yescharacteristic
38C2×C13×C22⋊Q8C2211yescharacteristic
39C2×C13×#121C2211yescharacteristic
40C2×C13×#121C2211yescharacteristic
41C2×C13×#121C2211yescharacteristic
42C2×C13×#120C2211yescharacteristic
43C2×C13×#120C2211yescharacteristic
44C2×C4×D4×C13C2211yescharacteristic
45C2×C4×D4×C13C2211yescharacteristic
46C2×C4×D4×C13C2211yescharacteristic
47C2×C4×D4×C13C2211yescharacteristic
48C2×C4×D4×C13C2211yescharacteristic, complemented
49C2×C4×D4×C13C2211yescharacteristic, complemented
50C2×C4×D4×C13C2211yescharacteristic, complemented
51C2×C4×D4×C13C2211yescharacteristic, complemented
52C2×C13×#117C2211yescharacteristic, complemented
53C2×C13×#117C2211yescharacteristic, complemented
54C22×C13×C4⋊C4C2211yescharacteristic, complemented
55C22×C13×C22⋊C4C2211yescharacteristic
56C22×C13×C22⋊C4C2211yescharacteristic
57C22×C13×C22⋊C4C2211yescharacteristic
58C22×C13×C22⋊C4C2211yescharacteristic
59C22×C13×C22⋊C4C2211yescharacteristic
60C22×C13×C22⋊C4C2211yescharacteristic
61C22×C42×C13C2211yescharacteristic, complemented
62C13×#391C2211yescharacteristic, complemented
63C13×#391C2211yescharacteristic, complemented
64C13×#391C2211yescharacteristic, complemented
65C13×#391C2211yescharacteristic, complemented
66C13×#390C2211yescharacteristic
67C13×#390C2211yescharacteristic
68C13×#390C2211yescharacteristic
69C13×#390C2211yescharacteristic
70C13×#390C2211yescharacteristic, complemented
71C13×#390C2211yescharacteristic, complemented
72C13×#390C2211yescharacteristic, complemented
73C13×#390C2211yescharacteristic, complemented
74C13×#389C2211yescharacteristic, complemented
75C13×#389C2211yescharacteristic, complemented
76C13×#389C2211yescharacteristic, complemented
77C13×#389C2211yescharacteristic, complemented
78C13×#388C2211yescharacteristic
79C13×#388C2211yescharacteristic
80C13×#388C2211yescharacteristic
81C13×#388C2211yescharacteristic
82C13×#388C2211yescharacteristic
83C13×#388C2211yescharacteristic
84C13×#388C2211yescharacteristic
85C13×#388C2211yescharacteristic
86C13×#388C2211yescharacteristic
87C13×#388C2211yescharacteristic
88C13×#388C2211yescharacteristic
89C13×#388C2211yescharacteristic
90C13×#388C2211yescharacteristic, complemented
91C13×#388C2211yescharacteristic, complemented
92C13×#388C2211yescharacteristic, complemented
93C13×#388C2211yescharacteristic, complemented
94C13×#388C2211yescharacteristic, complemented
95C13×#388C2211yescharacteristic, complemented
96C13×#388C2211yescharacteristic, complemented
97C13×#388C2211yescharacteristic, complemented
98C13×#388C2211yescharacteristic, complemented
99C13×#388C2211yescharacteristic, complemented
100C13×#388C2211yescharacteristic, complemented
101C13×#388C2211yescharacteristic, complemented
102C13×#388C2211yescharacteristic, complemented
103C13×#388C2211yescharacteristic, complemented
104C13×#388C2211yescharacteristic, complemented
105C13×#388C2211yescharacteristic, complemented
106C13×#388C2211yescharacteristic, complemented
107C13×#388C2211yescharacteristic, complemented
108C13×#387C2211yescharacteristic, complemented
109C13×#387C2211yescharacteristic, complemented
110C13×#387C2211yescharacteristic, complemented
111C13×#387C2211yescharacteristic, complemented
112C13×#387C2211yescharacteristic, complemented
113C13×#387C2211yescharacteristic, complemented
114C13×#387C2211yescharacteristic, complemented
115C13×#387C2211yescharacteristic, complemented
116C13×#387C2211yescharacteristic, complemented
117C13×#387C2211yescharacteristic, complemented
118C13×#386C2211yescharacteristic
119C13×#386C2211yescharacteristic
120C13×#386C2211yescharacteristic
121C13×#386C2211yescharacteristic
122C13×#386C2211yescharacteristic
123C13×#386C2211yescharacteristic
124C13×#386C2211yescharacteristic
125C13×#386C2211yescharacteristic
126C13×#386C2211yescharacteristic
127C13×#386C2211yescharacteristic
128C13×#386C2211yescharacteristic
129C13×#386C2211yescharacteristic
130C13×#386C2211yescharacteristic
131C13×#386C2211yescharacteristic
132C13×#386C2211yescharacteristic, complemented
133C13×#386C2211yescharacteristic, complemented
134C13×#386C2211yescharacteristic, complemented
135C13×#386C2211yescharacteristic, complemented
136C13×#386C2211yescharacteristic, complemented
137C13×#386C2211yescharacteristic, complemented
138C13×#386C2211yescharacteristic, complemented
139C13×#386C2211yescharacteristic, complemented
140C13×#385C2211yescharacteristic, complemented
141C13×#385C2211yescharacteristic, complemented
142C13×#385C2211yescharacteristic, complemented
143C13×#385C2211yescharacteristic, complemented
144C13×#385C2211yescharacteristic, complemented
145C13×#385C2211yescharacteristic, complemented
146C13×#385C2211yescharacteristic, complemented
147C13×#385C2211yescharacteristic, complemented
148C13×#383C2211yescharacteristic, complemented
149C13×#381C2211yescharacteristic
150C13×#381C2211yescharacteristic
151C13×#381C2211yescharacteristic, complemented
152C13×#381C2211yescharacteristic, complemented
153C13×#381C2211yescharacteristic, complemented
154C13×#380C2211yescharacteristic
155C13×#380C2211yescharacteristic, complemented
156C13×#380C2211yescharacteristic, complemented
157C13×#380C2211yescharacteristic, complemented
158C13×#380C2211yescharacteristic, complemented
159C13×#380C2211yescharacteristic, complemented
160C13×#380C2211yescharacteristic, complemented
161C13×#379C2211yescharacteristic
162C13×#379C2211yescharacteristic
163C13×#379C2211yescharacteristic
164C13×#379C2211yescharacteristic
165C4×C13×C4⋊C4C2211yescharacteristic, complemented
166C4×C13×C4⋊C4C2211yescharacteristic, complemented
167C4×C13×C4⋊C4C2211yescharacteristic, complemented
168C4×C13×C22⋊C4C2211yescharacteristic
169C4×C13×C22⋊C4C2211yescharacteristic, complemented
170C4×C13×C22⋊C4C2211yescharacteristic, complemented
171C4×C13×C22⋊C4C2211yescharacteristic, complemented
172C4×C13×C22⋊C4C2211yescharacteristic, complemented
173C4×C13×C22⋊C4C2211yescharacteristic, complemented
174C4×C13×C22⋊C4C2211yescharacteristic, complemented
175C4×C13×C22⋊C4C2211yescharacteristic, complemented
176C4×C13×C22⋊C4C2211yescharacteristic, complemented
177C4×C13×C22⋊C4C2211yescharacteristic, complemented
178C4×C13×C22⋊C4C2211yescharacteristic, complemented
179C4×C13×C22⋊C4C2211yescharacteristic, complemented
180C4×C13×C22⋊C4C2211yescharacteristic, complemented
181C4×C13×C22⋊C4C2211yescharacteristic, complemented
182C4×C13×C22⋊C4C2211yescharacteristic, complemented
183C13×#376C2211yescharacteristic, complemented
184C13×#376C2211yescharacteristic, complemented
185C2×C13×#95C2211yescharacteristic, complemented
186C2×C13×#95C2211yescharacteristic, complemented
187C2×C13×#95C2211yescharacteristic, complemented
188C25×C13C2311yescharacteristic
189C25×C13C2311yescharacteristic
190C2×C13×#41—42no—
191C2×C13×#41—42no—
192C2×C13×#41C2×C418yescomplemented
193C22×Q8×C13C2311yescharacteristic
194C22×D4×C13—42no—
195C22×D4×C13—42no—
196C22×D4×C13C2×C418yescomplemented
197C22×D4×C13C2311yescharacteristic
198C22×D4×C13C2311yescharacteristic
199C22×D4×C13C2311yescharacteristic
200C22×D4×C13C2311yescharacteristic
201C22×D4×C13C2311yescharacteristic
202C22×D4×C13C2311yescharacteristic
203C22×D4×C13C2311yescharacteristic
204C22×D4×C13C2311yescharacteristic
205C22×D4×C13C2311yescharacteristic
206C23×C4×C13C2311yescharacteristic
207C23×C4×C13C2311yescharacteristic
208C23×C4×C13C2311yescharacteristic
209C23×C4×C13C2311yescharacteristic
210C23×C4×C13C2311yescharacteristic
211C23×C4×C13C2311yescharacteristic
212C23×C4×C13C2311yescharacteristic
213C23×C4×C13C2311yescharacteristic
214C23×C4×C13C2311yescharacteristic
215C23×C4×C13C2311yescharacteristic
216C23×C4×C13C2311yescharacteristic
217C23×C4×C13C2311yescharacteristic
218C23×C4×C13C2311yescharacteristic
219C23×C4×C13C2311yescharacteristic
220C23×C4×C13C2311yescharacteristic
221C23×C4×C13C2311yescharacteristic
222C13×#124C2×C418yescomplemented
223C13×#123C2×C418yescomplemented
224C13×#123C2×C418yescomplemented
225C13×C22⋊Q8C2×C418yescomplemented
226C13×#121C2×C418yescomplemented
227C13×#121C2×C418yescomplemented
228C13×#121C2×C418yescomplemented
229C13×#120C2×C418yescomplemented
230C13×#120C2×C418yescomplemented
231C4×D4×C13—42no—
232C4×D4×C13—42no—
233C4×D4×C13—42no—
234C4×D4×C13—42no—
235C4×D4×C13—42no—
236C4×D4×C13—42no—
237C4×D4×C13C2×C418yescomplemented
238C4×D4×C13C2×C418yescomplemented
239C13×#117—42no—
240C13×#117—42no—
241C2×C13×C4⋊C4—42no—
242C2×C13×C4⋊C4C2311yescharacteristic
243C2×C13×C4⋊C4C2311yescharacteristic
244C2×C13×C4⋊C4C2311yescharacteristic
245C2×C13×C4⋊C4C2311yescharacteristic
246C2×C13×C4⋊C4C2311yescharacteristic
247C2×C13×C4⋊C4C2311yescharacteristic
248C2×C13×C4⋊C4C2311yescharacteristic
249C2×C13×C4⋊C4C2311yescharacteristic
250C2×C13×C4⋊C4C2311yescharacteristic
251C2×C13×C4⋊C4C2311yescharacteristic
252C2×C13×C4⋊C4C2311yescharacteristic
253C2×C13×C4⋊C4C2311yescharacteristic
254C2×C13×C4⋊C4C2311yescharacteristic
255C2×C13×C4⋊C4C2311yescharacteristic
256C2×C13×C4⋊C4C2311yescharacteristic
257C2×C13×C4⋊C4C2311yescharacteristic
258C2×C13×C4⋊C4C2311yescharacteristic
259C2×C13×C4⋊C4C2311yescharacteristic
260C2×C13×C4⋊C4C2311yescharacteristic
261C2×C13×C4⋊C4C2311yescharacteristic
262C2×C13×C22⋊C4—42no—
263C2×C13×C22⋊C4—42no—
264C2×C13×C22⋊C4—42no—
265C2×C13×C22⋊C4—42no—
266C2×C13×C22⋊C4C2×C418yescomplemented
267C2×C13×C22⋊C4C2×C418yescomplemented
268C2×C13×C22⋊C4C2311yescharacteristic
269C2×C13×C22⋊C4C2311yescharacteristic
270C2×C13×C22⋊C4C2311yescharacteristic
271C2×C13×C22⋊C4C2311yescharacteristic
272C2×C13×C22⋊C4C2311yescharacteristic
273C2×C13×C22⋊C4C2311yescharacteristic
274C2×C13×C22⋊C4C2311yescharacteristic
275C2×C13×C22⋊C4C2311yescharacteristic
276C2×C13×C22⋊C4C2311yescharacteristic
277C2×C13×C22⋊C4C2311yescharacteristic
278C2×C13×C22⋊C4C2311yescharacteristic
279C2×C13×C22⋊C4C2311yescharacteristic
280C2×C13×C22⋊C4C2311yescharacteristic
281C2×C13×C22⋊C4C2311yescharacteristic
282C2×C13×C22⋊C4C2311yescharacteristic
283C2×C13×C22⋊C4C2311yescharacteristic
284C2×C13×C22⋊C4C2311yescharacteristic
285C2×C13×C22⋊C4C2311yescharacteristic
286C2×C13×C22⋊C4C2311yescharacteristic
287C2×C13×C22⋊C4C2311yescharacteristic
288C2×C13×C22⋊C4C2311yescharacteristic
289C2×C13×C22⋊C4C2311yescharacteristic
290C2×C13×C22⋊C4C2311yescharacteristic
291C2×C13×C22⋊C4C2311yescharacteristic
292C2×C13×C22⋊C4C2311yescharacteristic
293C2×C13×C22⋊C4C2311yescharacteristic
294C2×C13×C22⋊C4C2311yescharacteristic
295C2×C13×C22⋊C4C2311yescharacteristic
296C2×C13×C22⋊C4C2311yescharacteristic
297C2×C13×C22⋊C4C2311yescharacteristic
298C2×C13×C22⋊C4C2311yescharacteristic
299C2×C13×C22⋊C4C2311yescharacteristic
300C2×C13×C22⋊C4C2311yescharacteristic
301C2×C13×C22⋊C4C2311yescharacteristic
302C2×C13×C22⋊C4C2311yescharacteristic
303C2×C13×C22⋊C4C2311yescharacteristic
304C2×C13×C22⋊C4C2311yescharacteristic
305C2×C13×C22⋊C4C2311yescharacteristic
306C2×C13×C22⋊C4C2311yescharacteristic
307C2×C13×C22⋊C4C2311yescharacteristic
308C2×C13×C22⋊C4C2311yescharacteristic
309C2×C13×C22⋊C4C2311yescharacteristic
310C2×C13×C22⋊C4C2311yescharacteristic
311C2×C13×C22⋊C4C2311yescharacteristic
312C2×C13×C22⋊C4C2311yescharacteristic
313C2×C13×C22⋊C4C2311yescharacteristic
314C2×C13×C22⋊C4C2311yescharacteristic
315C2×C13×C22⋊C4C2311yescharacteristic
316C2×C13×C22⋊C4C2311yescharacteristic
317C2×C13×C22⋊C4C2311yescharacteristic
318C2×C42×C13—42no—
319C2×C42×C13C2311yescharacteristic
320C2×C42×C13C2311yescharacteristic
321C2×C42×C13C2311yescharacteristic
322C2×C42×C13C2311yescharacteristic
323C2×C42×C13C2311yescharacteristic
324C2×C42×C13C2311yescharacteristic
325C2×C42×C13C2311yescharacteristic
326C2×C42×C13C2311yescharacteristic
327C2×C42×C13C2311yescharacteristic
328C2×C42×C13C2311yescharacteristic
329C2×C42×C13C2311yescharacteristic
330C2×C42×C13C2311yescharacteristic
331C2×C42×C13C2311yescharacteristic
332C2×C42×C13C2311yescharacteristic
333C2×C42×C13C2311yescharacteristic
334C2×C42×C13C2311yescharacteristic
335C2×C42×C13C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
349C13×#95C2311yescharacteristic
350C13×#95C2311yescharacteristic
351C13×#95C2311yescharacteristic
352C13×#95C2311yescharacteristic
353C13×#95C2311yescharacteristic
354C13×#95C2311yescharacteristic
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
359C13×#95C2311yescharacteristic
360C13×#95C2311yescharacteristic
361C13×#95C2311yescharacteristic
362C13×#95C2311yescharacteristic
363C13×#95C2311yescharacteristic
364C13×#95C2311yescharacteristic
365C13×#95C2311yescharacteristic
366C13×#95C2311yescharacteristic
367C13×#95C2311yescharacteristic
368C13×#95C2311yescharacteristic
369C13×#95C2311yescharacteristic
370C13×#95C2311yescharacteristic
371C13×#95C2311yescharacteristic
372C13×#95C2311yescharacteristic
373C13×#95C2311yescharacteristic
374C13×#95C2311yescharacteristic
375C13×#95C2311yescharacteristic
376#34492C1311yesmaximal, characteristic, direct product factor, Sylow
377C24×C13—22no—
378C24×C13—22no—
379C24×C13—41no—
380C24×C13—41no—
381C24×C13—41no—
382C24×C13—41no—
383C24×C13—41no—
384C24×C13—41no—
385C24×C13—41no—
386C24×C13—41no—
387C24×C13—41no—
388C24×C13—41no—
389C24×C13C22×C414yes—
390C24×C13C22×C414yes—
391C24×C13C2411yescharacteristic
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C24×C13C2411yescharacteristic
395C24×C13C2411yescharacteristic
396C24×C13C2411yescharacteristic
397C13×#41—416no—
398C2×Q8×C13—41no—
399C2×Q8×C13—41no—
400C2×Q8×C13C22×C414yes—
401C2×D4×C13—22no—
402C2×D4×C13—22no—
403C2×D4×C13—22no—
404C2×D4×C13—22no—
405C2×D4×C13—22no—
406C2×D4×C13—22no—
407C2×D4×C13—41no—
408C2×D4×C13—41no—
409C2×D4×C13—41no—
410C2×D4×C13—41no—
411C2×D4×C13—41no—
412C2×D4×C13—41no—
413C2×D4×C13—41no—
414C2×D4×C13—41no—
415C2×D4×C13—41no—
416C2×D4×C13—41no—
417C2×D4×C13—41no—
418C2×D4×C13—41no—
419C2×D4×C13—416no—
420C2×D4×C13C22×C414yes—
421C2×D4×C13C22×C414yes—
422C2×D4×C13C22×C414yes—
423C2×D4×C13C22×C414yes—
424C2×D4×C13C22×C414yes—
425C2×D4×C13C22×C414yes—
426C2×D4×C13C22×C414yes—
427C2×D4×C13C22×C414yes—
428C2×D4×C13C22×C414yes—
429C22×C4×C13—22no—
430C22×C4×C13—22no—
431C22×C4×C13—22no—
432C22×C4×C13—22no—
433C22×C4×C13—22no—
434C22×C4×C13—22no—
435C22×C4×C13—22no—
436C22×C4×C13—22no—
437C22×C4×C13—22no—
438C22×C4×C13—41no—
439C22×C4×C13—41no—
440C22×C4×C13—41no—
441C22×C4×C13—41no—
442C22×C4×C13—41no—
443C22×C4×C13—41no—
444C22×C4×C13—41no—
445C22×C4×C13—41no—
446C22×C4×C13—41no—
447C22×C4×C13—41no—
448C22×C4×C13—41no—
449C22×C4×C13—41no—
450C22×C4×C13—41no—
451C22×C4×C13—41no—
452C22×C4×C13—41no—
453C22×C4×C13—41no—
454C22×C4×C13—41no—
455C22×C4×C13—41no—
456C22×C4×C13—41no—
457C22×C4×C13—41no—
458C22×C4×C13—41no—
459C22×C4×C13—41no—
460C22×C4×C13—41no—
461C22×C4×C13—41no—
462C22×C4×C13—41no—
463C22×C4×C13—41no—
464C22×C4×C13—41no—
465C22×C4×C13—41no—
466C22×C4×C13—41no—
467C22×C4×C13—41no—
468C22×C4×C13—41no—
469C22×C4×C13—41no—
470C22×C4×C13—41no—
471C22×C4×C13C22×C414yes—
472C22×C4×C13C22×C414yes—
473C22×C4×C13C22×C414yes—
474C22×C4×C13C22×C414yes—
475C22×C4×C13C22×C414yes—
476C22×C4×C13C22×C414yes—
477C22×C4×C13C2411yescharacteristic
478C22×C4×C13C2411yescharacteristic
479C22×C4×C13C2411yescharacteristic
480C22×C4×C13C2411yescharacteristic
481C22×C4×C13C2411yescharacteristic
482C22×C4×C13C2411yescharacteristic
483C22×C4×C13C2411yescharacteristic
484C22×C4×C13C2411yescharacteristic
485C22×C4×C13C2411yescharacteristic
486C22×C4×C13C2411yescharacteristic
487C22×C4×C13C2411yescharacteristic
488C22×C4×C13C2411yescharacteristic
489C22×C4×C13C2411yescharacteristic
490C22×C4×C13C2411yescharacteristic
491C22×C4×C13C2411yescharacteristic
492C22×C4×C13C2411yescharacteristic
493C22×C4×C13C2411yescharacteristic
494C22×C4×C13C2411yescharacteristic
495C22×C4×C13C2411yescharacteristic
496C22×C4×C13C2411yescharacteristic
497C22×C4×C13C2411yescharacteristic
498C22×C4×C13C2411yescharacteristic
499C22×C4×C13C2411yescharacteristic
500C22×C4×C13C2411yescharacteristic
501C22×C4×C13C2411yescharacteristic
502C13×C4⋊C4—22no—
503C13×C4⋊C4—41no—
504C13×C4⋊C4—41no—
505C13×C4⋊C4—41no—
506C13×C4⋊C4—41no—
507C13×C4⋊C4—41no—
508C13×C4⋊C4—41no—
509C13×C4⋊C4—41no—
510C13×C4⋊C4—41no—
511C13×C4⋊C4—41no—
512C13×C4⋊C4—41no—
513C13×C4⋊C4—41no—
514C13×C4⋊C4—41no—
515C13×C4⋊C4—41no—
516C13×C4⋊C4—41no—
517C13×C4⋊C4—41no—
518C13×C4⋊C4C22×C414yes—
519C13×C4⋊C4C22×C414yes—
520C13×C4⋊C4C22×C414yes—
521C13×C4⋊C4C22×C414yes—
522C13×C22⋊C4—22no—
523C13×C22⋊C4—22no—
524C13×C22⋊C4—22no—
525C13×C22⋊C4—22no—
526C13×C22⋊C4—22no—
527C13×C22⋊C4—22no—
528C13×C22⋊C4—22no—
529C13×C22⋊C4—41no—
530C13×C22⋊C4—41no—
531C13×C22⋊C4—41no—
532C13×C22⋊C4—41no—
533C13×C22⋊C4—41no—
534C13×C22⋊C4—41no—
535C13×C22⋊C4—41no—
536C13×C22⋊C4—41no—
537C13×C22⋊C4—41no—
538C13×C22⋊C4—41no—
539C13×C22⋊C4—41no—
540C13×C22⋊C4—41no—
541C13×C22⋊C4—41no—
542C13×C22⋊C4—41no—
543C13×C22⋊C4—41no—
544C13×C22⋊C4—41no—
545C13×C22⋊C4—41no—
546C13×C22⋊C4—41no—
547C13×C22⋊C4—41no—
548C13×C22⋊C4—41no—
549C13×C22⋊C4—41no—
550C13×C22⋊C4—41no—
551C13×C22⋊C4—41no—
552C13×C22⋊C4—41no—
553C13×C22⋊C4—41no—
554C13×C22⋊C4—41no—
555C13×C22⋊C4—41no—
556C13×C22⋊C4—41no—
557C13×C22⋊C4—41no—
558C13×C22⋊C4—41no—
559C13×C22⋊C4—41no—
560C13×C22⋊C4C22×C414yes—
561C13×C22⋊C4C22×C414yes—
562C13×C22⋊C4C22×C414yes—
563C13×C22⋊C4C22×C414yes—
564C13×C22⋊C4C22×C414yes—
565C13×C22⋊C4C22×C414yes—
566C13×C22⋊C4C22×C414yes—
567C13×C22⋊C4C22×C414yes—
568C13×C22⋊C4C22×C414yes—
569C13×C22⋊C4C22×C414yes—
570C13×C22⋊C4C22×C414yes—
571C13×C22⋊C4C22×C414yes—
572C42×C13—22no—
573C42×C13—22no—
574C42×C13—41no—
575C42×C13—41no—
576C42×C13—41no—
577C42×C13—41no—
578C42×C13—41no—
579C42×C13—41no—
580C42×C13—41no—
581C42×C13—41no—
582C42×C13—41no—
583C42×C13—41no—
584C42×C13—41no—
585C42×C13—41no—
586C42×C13—41no—
587C42×C13—41no—
588C42×C13C22×C414yes—
589C2×#546C2×C1311yescharacteristic
590#2378C2×C1311yescharacteristic, complemented
591#2377C2×C1311yescharacteristic, complemented
592#2376C2×C1311yescharacteristic, complemented
593#2375C2×C1311yescharacteristic, complemented
594#2372C2×C1311yescharacteristic, complemented
595#2364C2×C1311yescharacteristic, complemented
596#2363C2×C1311yescharacteristic, complemented
597#2359C2×C1311yescharacteristic, complemented
598#2358C2×C1311yescharacteristic, complemented
599#2353C2×C1311yescharacteristic, complemented
600#2353C2×C1311yescharacteristic, complemented
601#2342C2×C1311yescharacteristic, complemented
602#2342C2×C1311yescharacteristic, complemented
603#2339C2×C1311yescharacteristic, complemented
604D4×C22⋊C4C2×C1311yescharacteristic, complemented
605#2337C2×C1311yescharacteristic, complemented
606#2335C2×C1311yescharacteristic, complemented
607#2333C2×C1311yescharacteristic, complemented
608#2332C2×C1311yescharacteristic, complemented
609#2325C2×C1311yescharacteristic, complemented
610#2322C2×C1311yescharacteristic, complemented
611#2321C2×C1311yescharacteristic, complemented
612#2321C2×C1311yescharacteristic, complemented
613#2319C2×C1311yescharacteristic, complemented
614#2312C2×C1311yescharacteristic, complemented
615#2311C2×C1311yescharacteristic, complemented
616#2308C2×C1311yescharacteristic, complemented
617C4×#121C2×C1311yescharacteristic, complemented
618#2290C2×C1311yescharacteristic, complemented
619C2×#388C2×C1311yescharacteristic, complemented
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13—21no—
628C23×C13—21no—
629C23×C13—21no—
630C23×C13—21no—
631C23×C13—21no—
632C23×C13—21no—
633C23×C13—21no—
634C23×C13—21no—
635C23×C13—21no—
636C23×C13—21no—
637C23×C13—21no—
638C23×C13—21no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—21no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—21no—
653C23×C13—21no—
654C23×C13—28no—
655C23×C13—44no—
656C23×C13—44no—
657C23×C13—44no—
658C23×C13—44no—
659C23×C13—44no—
660C23×C13—82no—
661C23×C13—82no—
662C23×C13—82no—
663C23×C13—82no—
664C23×C13—82no—
665C23×C13—82no—
666C23×C13—82no—
667C23×C13—82no—
668C23×C13C23×C412yes—
669C23×C13C23×C412yes—
670C23×C13C23×C412yes—
671C23×C13C23×C412yes—
672C23×C13C23×C412yes—
673C23×C13C23×C412yes—
674C23×C13H(5,𝔽2)12yes—
675C23×C13H(5,𝔽2)12yes—
676C23×C13C2511yescharacteristic
677Q8×C13—44no—
678D4×C13—28no—
679D4×C13—28no—
680D4×C13—28no—
681D4×C13—44no—
682D4×C13—44no—
683D4×C13—44no—
684D4×C13—44no—
685D4×C13—44no—
686D4×C13—44no—
687C2×C4×C13—28no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—21no—
735C2×C4×C13—21no—
736C2×C4×C13—21no—
737C2×C4×C13—21no—
738C2×C4×C13—21no—
739C2×C4×C13—21no—
740C2×C4×C13—21no—
741C2×C4×C13—21no—
742C2×C4×C13—21no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—44no—
754C2×C4×C13—44no—
755C2×C4×C13—44no—
756C2×C4×C13—44no—
757C2×C4×C13—44no—
758C2×C4×C13—44no—
759C2×C4×C13—44no—
760C2×C4×C13—82no—
761C2×C4×C13—82no—
762C2×C4×C13—82no—
763C2×C4×C13—82no—
764C2×C4×C13—82no—
765C2×C4×C13—82no—
766C2×C4×C13—82no—
767C2×C4×C13—82no—
768C2×C4×C13C23×C412yes—
769C2×C4×C13C23×C412yes—
770C2×C4×C13C23×C412yes—
771C2×C4×C13C23×C412yes—
772C2×C4×C13C23×C412yes—
773C2×C4×C13C23×C412yes—
774C2×C4×C13C23×C412yes—
775C2×C4×C13C23×C412yes—
776C2×C4×C13C23×C412yes—
777C2×C4×C13H(5,𝔽2)12yes—
778C22×#41C22×C1311yescharacteristic
779C23×D4C22×C1311yescharacteristic
780#546C4×C13116yescomplemented
781C2×#124C22×C1311yescharacteristic
782C2×#123C22×C1311yescharacteristic
783C2×#123C22×C1311yescharacteristic
784C2×C22⋊Q8C22×C1311yescharacteristic
785C2×#121C22×C1311yescharacteristic
786C2×#121C22×C1311yescharacteristic
787C2×#121C22×C1311yescharacteristic
788C2×#120C22×C1311yescharacteristic
789C2×#120C22×C1311yescharacteristic
790C2×C4×D4C22×C1311yescharacteristic
791C2×C4×D4C22×C1311yescharacteristic
792C2×C4×D4C22×C1311yescharacteristic
793C2×C4×D4C22×C1311yescharacteristic
794C2×C4×D4C22×C1311yescharacteristic, complemented
795C2×C4×D4C22×C1311yescharacteristic, complemented
796C2×C4×D4C22×C1311yescharacteristic, complemented
797C2×C4×D4C22×C1311yescharacteristic, complemented
798C2×#117C22×C1311yescharacteristic, complemented
799C2×#117C22×C1311yescharacteristic, complemented
800C22×C4⋊C4C22×C1311yescharacteristic, complemented
801C22×C22⋊C4C22×C1311yescharacteristic
802C22×C22⋊C4C22×C1311yescharacteristic
803C22×C22⋊C4C22×C1311yescharacteristic
804C22×C22⋊C4C22×C1311yescharacteristic
805C22×C22⋊C4C22×C1311yescharacteristic
806C22×C22⋊C4C22×C1311yescharacteristic
807C22×C42C22×C1311yescharacteristic, complemented
808#391C22×C1311yescharacteristic, complemented
809#391C22×C1311yescharacteristic, complemented
810#391C22×C1311yescharacteristic, complemented
811#391C22×C1311yescharacteristic, complemented
812#390C22×C1311yescharacteristic
813#390C22×C1311yescharacteristic
814#390C22×C1311yescharacteristic
815#390C22×C1311yescharacteristic
816#390C22×C1311yescharacteristic, complemented
817#390C22×C1311yescharacteristic, complemented
818#390C22×C1311yescharacteristic, complemented
819#390C22×C1311yescharacteristic, complemented
820#389C22×C1311yescharacteristic, complemented
821#389C22×C1311yescharacteristic, complemented
822#389C22×C1311yescharacteristic, complemented
823#389C22×C1311yescharacteristic, complemented
824#388C22×C1311yescharacteristic
825#388C22×C1311yescharacteristic
826#388C22×C1311yescharacteristic
827#388C22×C1311yescharacteristic
828#388C22×C1311yescharacteristic
829#388C22×C1311yescharacteristic
830#388C22×C1311yescharacteristic
831#388C22×C1311yescharacteristic
832#388C22×C1311yescharacteristic
833#388C22×C1311yescharacteristic
834#388C22×C1311yescharacteristic
835#388C22×C1311yescharacteristic
836#388C22×C1311yescharacteristic, complemented
837#388C22×C1311yescharacteristic, complemented
838#388C22×C1311yescharacteristic, complemented
839#388C22×C1311yescharacteristic, complemented
840#388C22×C1311yescharacteristic, complemented
841#388C22×C1311yescharacteristic, complemented
842#388C22×C1311yescharacteristic, complemented
843#388C22×C1311yescharacteristic, complemented
844#388C22×C1311yescharacteristic, complemented
845#388C22×C1311yescharacteristic, complemented
846#388C22×C1311yescharacteristic, complemented
847#388C22×C1311yescharacteristic, complemented
848#388C22×C1311yescharacteristic, complemented
849#388C22×C1311yescharacteristic, complemented
850#388C22×C1311yescharacteristic, complemented
851#388C22×C1311yescharacteristic, complemented
852#388C22×C1311yescharacteristic, complemented
853#388C22×C1311yescharacteristic, complemented
854#387C22×C1311yescharacteristic, complemented
855#387C22×C1311yescharacteristic, complemented
856#387C22×C1311yescharacteristic, complemented
857#387C22×C1311yescharacteristic, complemented
858#387C22×C1311yescharacteristic, complemented
859#387C22×C1311yescharacteristic, complemented
860#387C22×C1311yescharacteristic, complemented
861#387C22×C1311yescharacteristic, complemented
862#387C22×C1311yescharacteristic, complemented
863#387C22×C1311yescharacteristic, complemented
864#386C22×C1311yescharacteristic
865#386C22×C1311yescharacteristic
866#386C22×C1311yescharacteristic
867#386C22×C1311yescharacteristic
868#386C22×C1311yescharacteristic
869#386C22×C1311yescharacteristic
870#386C22×C1311yescharacteristic
871#386C22×C1311yescharacteristic
872#386C22×C1311yescharacteristic
873#386C22×C1311yescharacteristic
874#386C22×C1311yescharacteristic
875#386C22×C1311yescharacteristic
876#386C22×C1311yescharacteristic
877#386C22×C1311yescharacteristic
878#386C22×C1311yescharacteristic, complemented
879#386C22×C1311yescharacteristic, complemented
880#386C22×C1311yescharacteristic, complemented
881#386C22×C1311yescharacteristic, complemented
882#386C22×C1311yescharacteristic, complemented
883#386C22×C1311yescharacteristic, complemented
884#386C22×C1311yescharacteristic, complemented
885#386C22×C1311yescharacteristic, complemented
886#385C22×C1311yescharacteristic, complemented
887#385C22×C1311yescharacteristic, complemented
888#385C22×C1311yescharacteristic, complemented
889#385C22×C1311yescharacteristic, complemented
890#385C22×C1311yescharacteristic, complemented
891#385C22×C1311yescharacteristic, complemented
892#385C22×C1311yescharacteristic, complemented
893#385C22×C1311yescharacteristic, complemented
894#383C22×C1311yescharacteristic, complemented
895#381C22×C1311yescharacteristic
896#381C22×C1311yescharacteristic
897#381C22×C1311yescharacteristic, complemented
898#381C22×C1311yescharacteristic, complemented
899#381C22×C1311yescharacteristic, complemented
900#380C22×C1311yescharacteristic
901#380C22×C1311yescharacteristic, complemented
902#380C22×C1311yescharacteristic, complemented
903#380C22×C1311yescharacteristic, complemented
904#380C22×C1311yescharacteristic, complemented
905#380C22×C1311yescharacteristic, complemented
906#380C22×C1311yescharacteristic, complemented
907#379C22×C1311yescharacteristic
908#379C22×C1311yescharacteristic
909#379C22×C1311yescharacteristic
910#379C22×C1311yescharacteristic
911C4×C4⋊C4C22×C1311yescharacteristic, complemented
912C4×C4⋊C4C22×C1311yescharacteristic, complemented
913C4×C4⋊C4C22×C1311yescharacteristic, complemented
914C4×C22⋊C4C22×C1311yescharacteristic
915C4×C22⋊C4C22×C1311yescharacteristic, complemented
916C4×C22⋊C4C22×C1311yescharacteristic, complemented
917C4×C22⋊C4C22×C1311yescharacteristic, complemented
918C4×C22⋊C4C22×C1311yescharacteristic, complemented
919C4×C22⋊C4C22×C1311yescharacteristic, complemented
920C4×C22⋊C4C22×C1311yescharacteristic, complemented
921C4×C22⋊C4C22×C1311yescharacteristic, complemented
922C4×C22⋊C4C22×C1311yescharacteristic, complemented
923C4×C22⋊C4C22×C1311yescharacteristic, complemented
924C4×C22⋊C4C22×C1311yescharacteristic, complemented
925C4×C22⋊C4C22×C1311yescharacteristic, complemented
926C4×C22⋊C4C22×C1311yescharacteristic, complemented
927C4×C22⋊C4C22×C1311yescharacteristic, complemented
928C4×C22⋊C4C22×C1311yescharacteristic, complemented
929#376C22×C1311yescharacteristic, complemented
930#376C22×C1311yescharacteristic, complemented
931C2×#95C22×C1311yescharacteristic, complemented
932C2×#95C22×C1311yescharacteristic, complemented
933C2×#95C22×C1311yescharacteristic, complemented
934C22×C13—22no—
935C22×C13—22no—
936C22×C13—22no—
937C22×C13—22no—
938C22×C13—22no—
939C22×C13—22no—
940C22×C13—22no—
941C22×C13—22no—
942C22×C13—22no—
943C22×C13—22no—
944C22×C13—22no—
945C22×C13—22no—
946C22×C13—22no—
947C22×C13—22no—
948C22×C13—22no—
949C22×C13—22no—
950C22×C13—22no—
951C22×C13—22no—
952C22×C13—22no—
953C22×C13—22no—
954C22×C13—22no—
955C22×C13—41no—
956C22×C13—41no—
957C22×C13—41no—
958C22×C13—41no—
959C22×C13—41no—
960C22×C13—41no—
961C22×C13—41no—
962C22×C13—41no—
963C22×C13—41no—
964C22×C13—41no—
965C22×C13—41no—
966C22×C13—41no—
967C22×C13—41no—
968C22×C13—41no—
969C22×C13—41no—
970C22×C13—41no—
971C22×C13—41no—
972C22×C13—41no—
973C22×C13—41no—
974C22×C13—41no—
975C22×C13—88no—
976C22×C13—88no—
977C22×C13#51814yes—
978C22×C13C24×C411yescharacteristic
979C22×C13C2×H(5,𝔽2)11yescharacteristic
980C22×C13C2×H(5,𝔽2)11yescharacteristic
981C22×C13C2×H(5,𝔽2)11yescharacteristic
982C22×C13#58511yescharacteristic
983C22×C13#58511yescharacteristic
984C22×C13#58511yescharacteristic
985C4×C13—22no—
986C4×C13—22no—
987C4×C13—22no—
988C4×C13—22no—
989C4×C13—22no—
990C4×C13—22no—
991C4×C13—22no—
992C4×C13—22no—
993C4×C13—22no—
994C4×C13—22no—
995C4×C13—41no—
996C4×C13—41no—
997C4×C13—41no—
998C4×C13—41no—
999C4×C13—41no—
1000C4×C13—41no—
1001C4×C13—41no—
1002C4×C13—41no—
1003C4×C13—41no—
1004C4×C13—41no—
1005C4×C13—41no—
1006C4×C13—41no—
1007C4×C13—41no—
1008C4×C13—41no—
1009C4×C13—41no—
1010C25C23×C1311yescharacteristic
1011C25C23×C1311yescharacteristic
1012C2×#41—42no—
1013C2×#41—42no—
1014C2×#41C2×C4×C1318yescomplemented
1015C22×Q8C23×C1311yescharacteristic
1016C22×D4—42no—
1017C22×D4—42no—
1018C22×D4C2×C4×C1318yescomplemented
1019C22×D4C23×C1311yescharacteristic
1020C22×D4C23×C1311yescharacteristic
1021C22×D4C23×C1311yescharacteristic
1022C22×D4C23×C1311yescharacteristic
1023C22×D4C23×C1311yescharacteristic
1024C22×D4C23×C1311yescharacteristic
1025C22×D4C23×C1311yescharacteristic
1026C22×D4C23×C1311yescharacteristic
1027C22×D4C23×C1311yescharacteristic
1028C23×C4C23×C1311yescharacteristic
1029C23×C4C23×C1311yescharacteristic
1030C23×C4C23×C1311yescharacteristic
1031C23×C4C23×C1311yescharacteristic
1032C23×C4C23×C1311yescharacteristic
1033C23×C4C23×C1311yescharacteristic
1034C23×C4C23×C1311yescharacteristic
1035C23×C4C23×C1311yescharacteristic
1036C23×C4C23×C1311yescharacteristic
1037C23×C4C23×C1311yescharacteristic
1038C23×C4C23×C1311yescharacteristic
1039C23×C4C23×C1311yescharacteristic
1040C23×C4C23×C1311yescharacteristic
1041C23×C4C23×C1311yescharacteristic
1042C23×C4C23×C1311yescharacteristic
1043C23×C4C23×C1311yescharacteristic
1044#124C2×C4×C1318yescomplemented
1045#123C2×C4×C1318yescomplemented
1046#123C2×C4×C1318yescomplemented
1047C22⋊Q8C2×C4×C1318yescomplemented
1048#121C2×C4×C1318yescomplemented
1049#121C2×C4×C1318yescomplemented
1050#121C2×C4×C1318yescomplemented
1051#120C2×C4×C1318yescomplemented
1052#120C2×C4×C1318yescomplemented
1053C4×D4—42no—
1054C4×D4—42no—
1055C4×D4—42no—
1056C4×D4—42no—
1057C4×D4—42no—
1058C4×D4—42no—
1059C4×D4C2×C4×C1318yescomplemented
1060C4×D4C2×C4×C1318yescomplemented
1061#117—42no—
1062#117—42no—
1063C2×C4⋊C4—42no—
1064C2×C4⋊C4C23×C1311yescharacteristic
1065C2×C4⋊C4C23×C1311yescharacteristic
1066C2×C4⋊C4C23×C1311yescharacteristic
1067C2×C4⋊C4C23×C1311yescharacteristic
1068C2×C4⋊C4C23×C1311yescharacteristic
1069C2×C4⋊C4C23×C1311yescharacteristic
1070C2×C4⋊C4C23×C1311yescharacteristic
1071C2×C4⋊C4C23×C1311yescharacteristic
1072C2×C4⋊C4C23×C1311yescharacteristic
1073C2×C4⋊C4C23×C1311yescharacteristic
1074C2×C4⋊C4C23×C1311yescharacteristic
1075C2×C4⋊C4C23×C1311yescharacteristic
1076C2×C4⋊C4C23×C1311yescharacteristic
1077C2×C4⋊C4C23×C1311yescharacteristic
1078C2×C4⋊C4C23×C1311yescharacteristic
1079C2×C4⋊C4C23×C1311yescharacteristic
1080C2×C4⋊C4C23×C1311yescharacteristic
1081C2×C4⋊C4C23×C1311yescharacteristic
1082C2×C4⋊C4C23×C1311yescharacteristic
1083C2×C4⋊C4C23×C1311yescharacteristic
1084C2×C22⋊C4—42no—
1085C2×C22⋊C4—42no—
1086C2×C22⋊C4—42no—
1087C2×C22⋊C4—42no—
1088C2×C22⋊C4C2×C4×C1318yescomplemented
1089C2×C22⋊C4C2×C4×C1318yescomplemented
1090C2×C22⋊C4C23×C1311yescharacteristic
1091C2×C22⋊C4C23×C1311yescharacteristic
1092C2×C22⋊C4C23×C1311yescharacteristic
1093C2×C22⋊C4C23×C1311yescharacteristic
1094C2×C22⋊C4C23×C1311yescharacteristic
1095C2×C22⋊C4C23×C1311yescharacteristic
1096C2×C22⋊C4C23×C1311yescharacteristic
1097C2×C22⋊C4C23×C1311yescharacteristic
1098C2×C22⋊C4C23×C1311yescharacteristic
1099C2×C22⋊C4C23×C1311yescharacteristic
1100C2×C22⋊C4C23×C1311yescharacteristic
1101C2×C22⋊C4C23×C1311yescharacteristic
1102C2×C22⋊C4C23×C1311yescharacteristic
1103C2×C22⋊C4C23×C1311yescharacteristic
1104C2×C22⋊C4C23×C1311yescharacteristic
1105C2×C22⋊C4C23×C1311yescharacteristic
1106C2×C22⋊C4C23×C1311yescharacteristic
1107C2×C22⋊C4C23×C1311yescharacteristic
1108C2×C22⋊C4C23×C1311yescharacteristic
1109C2×C22⋊C4C23×C1311yescharacteristic
1110C2×C22⋊C4C23×C1311yescharacteristic
1111C2×C22⋊C4C23×C1311yescharacteristic
1112C2×C22⋊C4C23×C1311yescharacteristic
1113C2×C22⋊C4C23×C1311yescharacteristic
1114C2×C22⋊C4C23×C1311yescharacteristic
1115C2×C22⋊C4C23×C1311yescharacteristic
1116C2×C22⋊C4C23×C1311yescharacteristic
1117C2×C22⋊C4C23×C1311yescharacteristic
1118C2×C22⋊C4C23×C1311yescharacteristic
1119C2×C22⋊C4C23×C1311yescharacteristic
1120C2×C22⋊C4C23×C1311yescharacteristic
1121C2×C22⋊C4C23×C1311yescharacteristic
1122C2×C22⋊C4C23×C1311yescharacteristic
1123C2×C22⋊C4C23×C1311yescharacteristic
1124C2×C22⋊C4C23×C1311yescharacteristic
1125C2×C22⋊C4C23×C1311yescharacteristic
1126C2×C22⋊C4C23×C1311yescharacteristic
1127C2×C22⋊C4C23×C1311yescharacteristic
1128C2×C22⋊C4C23×C1311yescharacteristic
1129C2×C22⋊C4C23×C1311yescharacteristic
1130C2×C22⋊C4C23×C1311yescharacteristic
1131C2×C22⋊C4C23×C1311yescharacteristic
1132C2×C22⋊C4C23×C1311yescharacteristic
1133C2×C22⋊C4C23×C1311yescharacteristic
1134C2×C22⋊C4C23×C1311yescharacteristic
1135C2×C22⋊C4C23×C1311yescharacteristic
1136C2×C22⋊C4C23×C1311yescharacteristic
1137C2×C22⋊C4C23×C1311yescharacteristic
1138C2×C22⋊C4C23×C1311yescharacteristic
1139C2×C22⋊C4C23×C1311yescharacteristic
1140C2×C42—42no—
1141C2×C42C23×C1311yescharacteristic
1142C2×C42C23×C1311yescharacteristic
1143C2×C42C23×C1311yescharacteristic
1144C2×C42C23×C1311yescharacteristic
1145C2×C42C23×C1311yescharacteristic
1146C2×C42C23×C1311yescharacteristic
1147C2×C42C23×C1311yescharacteristic
1148C2×C42C23×C1311yescharacteristic
1149C2×C42C23×C1311yescharacteristic
1150C2×C42C23×C1311yescharacteristic
1151C2×C42C23×C1311yescharacteristic
1152C2×C42C23×C1311yescharacteristic
1153C2×C42C23×C1311yescharacteristic
1154C2×C42C23×C1311yescharacteristic
1155C2×C42C23×C1311yescharacteristic
1156C2×C42C23×C1311yescharacteristic
1157C2×C42C23×C1311yescharacteristic
1158#95C23×C1311yescharacteristic
1159#95C23×C1311yescharacteristic
1160#95C23×C1311yescharacteristic
1161#95C23×C1311yescharacteristic
1162#95C23×C1311yescharacteristic
1163#95C23×C1311yescharacteristic
1164#95C23×C1311yescharacteristic
1165#95C23×C1311yescharacteristic
1166#95C23×C1311yescharacteristic
1167#95C23×C1311yescharacteristic
1168#95C23×C1311yescharacteristic
1169#95C23×C1311yescharacteristic
1170#95C23×C1311yescharacteristic
1171#95C23×C1311yescharacteristic
1172#95C23×C1311yescharacteristic
1173#95C23×C1311yescharacteristic
1174#95C23×C1311yescharacteristic
1175#95C23×C1311yescharacteristic
1176#95C23×C1311yescharacteristic
1177#95C23×C1311yescharacteristic
1178#95C23×C1311yescharacteristic
1179#95C23×C1311yescharacteristic
1180#95C23×C1311yescharacteristic
1181#95C23×C1311yescharacteristic
1182#95C23×C1311yescharacteristic
1183#95C23×C1311yescharacteristic
1184#95C23×C1311yescharacteristic
1185#95C23×C1311yescharacteristic
1186#95C23×C1311yescharacteristic
1187#95C23×C1311yescharacteristic
1188#95C23×C1311yescharacteristic
1189#95C23×C1311yescharacteristic
1190#95C23×C1311yescharacteristic
1191#95C23×C1311yescharacteristic
1192#95C23×C1311yescharacteristic
1193#95C23×C1311yescharacteristic
1194#95C23×C1311yescharacteristic
1195#95C23×C1311yescharacteristic
1196#95C23×C1311yescharacteristic
1197#95C23×C1311yescharacteristic
1198C2×C13—24no—
1199C2×C13—42no—
1200C2×C13—42no—
1201C2×C13—42no—
1202C2×C13—42no—
1203C2×C13—42no—
1204C2×C13C2×#51811yescharacteristic
1205C2×C13#342811yescharacteristic
1206C2×C13C4×H(5,𝔽2)11yescharacteristic
1207C2×C13#353411yescharacteristic
1208C2×C13#354211yescharacteristic
1209C2×C13#354511yescharacteristic
1210C2×C13#356011yescharacteristic
1211C24—22no—
1212C24—22no—
1213C24—41no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24C22×C4×C1314yes—
1224C24C22×C4×C1314yes—
1225C24C24×C1311yescharacteristic
1226C24C24×C1311yescharacteristic
1227C24C24×C1311yescharacteristic
1228C24C24×C1311yescharacteristic
1229C24C24×C1311yescharacteristic
1230C24C24×C1311yescharacteristic
1231#41—416no—
1232C2×Q8—41no—
1233C2×Q8—41no—
1234C2×Q8C22×C4×C1314yes—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—416no—
1254C2×D4C22×C4×C1314yes—
1255C2×D4C22×C4×C1314yes—
1256C2×D4C22×C4×C1314yes—
1257C2×D4C22×C4×C1314yes—
1258C2×D4C22×C4×C1314yes—
1259C2×D4C22×C4×C1314yes—
1260C2×D4C22×C4×C1314yes—
1261C2×D4C22×C4×C1314yes—
1262C2×D4C22×C4×C1314yes—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4C22×C4×C1314yes—
1306C22×C4C22×C4×C1314yes—
1307C22×C4C22×C4×C1314yes—
1308C22×C4C22×C4×C1314yes—
1309C22×C4C22×C4×C1314yes—
1310C22×C4C22×C4×C1314yes—
1311C22×C4C24×C1311yescharacteristic
1312C22×C4C24×C1311yescharacteristic
1313C22×C4C24×C1311yescharacteristic
1314C22×C4C24×C1311yescharacteristic
1315C22×C4C24×C1311yescharacteristic
1316C22×C4C24×C1311yescharacteristic
1317C22×C4C24×C1311yescharacteristic
1318C22×C4C24×C1311yescharacteristic
1319C22×C4C24×C1311yescharacteristic
1320C22×C4C24×C1311yescharacteristic
1321C22×C4C24×C1311yescharacteristic
1322C22×C4C24×C1311yescharacteristic
1323C22×C4C24×C1311yescharacteristic
1324C22×C4C24×C1311yescharacteristic
1325C22×C4C24×C1311yescharacteristic
1326C22×C4C24×C1311yescharacteristic
1327C22×C4C24×C1311yescharacteristic
1328C22×C4C24×C1311yescharacteristic
1329C22×C4C24×C1311yescharacteristic
1330C22×C4C24×C1311yescharacteristic
1331C22×C4C24×C1311yescharacteristic
1332C22×C4C24×C1311yescharacteristic
1333C22×C4C24×C1311yescharacteristic
1334C22×C4C24×C1311yescharacteristic
1335C22×C4C24×C1311yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4C22×C4×C1314yes—
1353C4⋊C4C22×C4×C1314yes—
1354C4⋊C4C22×C4×C1314yes—
1355C4⋊C4C22×C4×C1314yes—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4C22×C4×C1314yes—
1395C22⋊C4C22×C4×C1314yes—
1396C22⋊C4C22×C4×C1314yes—
1397C22⋊C4C22×C4×C1314yes—
1398C22⋊C4C22×C4×C1314yes—
1399C22⋊C4C22×C4×C1314yes—
1400C22⋊C4C22×C4×C1314yes—
1401C22⋊C4C22×C4×C1314yes—
1402C22⋊C4C22×C4×C1314yes—
1403C22⋊C4C22×C4×C1314yes—
1404C22⋊C4C22×C4×C1314yes—
1405C22⋊C4C22×C4×C1314yes—
1406C42—22no—
1407C42—22no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—41no—
1414C42—41no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C42—41no—
1420C42—41no—
1421C42—41no—
1422C42C22×C4×C1314yes—
1423C13#3449211yescharacteristic, direct product factor, Sylow
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—28no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—82no—
1465C23—82no—
1466C23—82no—
1467C23—82no—
1468C23—82no—
1469C23—82no—
1470C23—82no—
1471C23—82no—
1472C23C23×C4×C1312yes—
1473C23C23×C4×C1312yes—
1474C23C23×C4×C1312yes—
1475C23C23×C4×C1312yes—
1476C23C23×C4×C1312yes—
1477C23C23×C4×C1312yes—
1478C23C13×H(5,𝔽2)12yes—
1479C23C13×H(5,𝔽2)12yes—
1480C23C25×C1311yescharacteristic
1481Q8—44no—
1482D4—28no—
1483D4—28no—
1484D4—28no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—44no—
1489D4—44no—
1490D4—44no—
1491C2×C4—28no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—82no—
1565C2×C4—82no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—82no—
1570C2×C4—82no—
1571C2×C4—82no—
1572C2×C4C23×C4×C1312yes—
1573C2×C4C23×C4×C1312yes—
1574C2×C4C23×C4×C1312yes—
1575C2×C4C23×C4×C1312yes—
1576C2×C4C23×C4×C1312yes—
1577C2×C4C23×C4×C1312yes—
1578C2×C4C23×C4×C1312yes—
1579C2×C4C23×C4×C1312yes—
1580C2×C4C23×C4×C1312yes—
1581C2×C4C13×H(5,𝔽2)12yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—88no—
1624C22—88no—
1625C22C13×#51814yes—
1626C22C24×C4×C1311yescharacteristic
1627C22C2×C13×H(5,𝔽2)11yescharacteristic
1628C22C2×C13×H(5,𝔽2)11yescharacteristic
1629C22C2×C13×H(5,𝔽2)11yescharacteristic
1630C22C13×#58511yescharacteristic
1631C22C13×#58511yescharacteristic
1632C22C13×#58511yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—42no—
1664C2C2×C13×#51811yescharacteristic
1665C2C13×#342811yescharacteristic
1666C2C4×C13×H(5,𝔽2)11yescharacteristic
1667C2C13×#353411yescharacteristic
1668C2C13×#354211yescharacteristic
1669C2C13×#354511yescharacteristic
1670C2C13×#356011yescharacteristic
subgroupG/H
center, socleC23×C13C25
commutatorC22C24×C4×C13
Frattini, cosocleC23C25×C13
prime radicalC2×C13×#546C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C13 ◁ G

Complements

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

NH ≅ G/Ntype
2. C13×#2378C2semidirect
3. C13×#2377C2semidirect
4. C13×#2376C2semidirect
5. C13×#2375C2semidirect
6. C13×#2372C2semidirect
7. C13×#2364C2semidirect
8. C13×#2363C2semidirect
9. C13×#2359C2semidirect
10. C13×#2358C2semidirect
11. C13×#2353C2semidirect
12. C13×#2353C2semidirect
13. C13×#2342C2semidirect
14. C13×#2342C2semidirect
15. C13×#2339C2semidirect
16. D4×C13×C22⋊C4C2semidirect
17. C13×#2337C2semidirect
18. C13×#2335C2semidirect
19. C13×#2333C2semidirect
20. C13×#2332C2semidirect
21. C13×#2325C2semidirect
22. C13×#2322C2semidirect
23. C13×#2321C2semidirect
24. C13×#2321C2semidirect
25. C13×#2319C2semidirect
26. C13×#2312C2semidirect
27. C13×#2311C2semidirect
28. C13×#2308C2semidirect
29. C4×C13×#121C2semidirect
30. C13×#2290C2semidirect
31. C2×C13×#388C2semidirect
34. C13×#546C4semidirect
48. C2×C4×D4×C13C22semidirect
49. C2×C4×D4×C13C22semidirect
50. C2×C4×D4×C13C22semidirect
51. C2×C4×D4×C13C22semidirect
52. C2×C13×#117C22semidirect
53. C2×C13×#117C22semidirect
54. C22×C13×C4⋊C4C22semidirect
61. C22×C42×C13C22semidirect
62. C13×#391C22semidirect
63. C13×#391C22semidirect
64. C13×#391C22semidirect
65. C13×#391C22semidirect
70. C13×#390C22semidirect
71. C13×#390C22semidirect
72. C13×#390C22semidirect
73. C13×#390C22semidirect
74. C13×#389C22semidirect
75. C13×#389C22semidirect
76. C13×#389C22semidirect
77. C13×#389C22semidirect
90. C13×#388C22semidirect
91. C13×#388C22semidirect
92. C13×#388C22semidirect
93. C13×#388C22semidirect
94. C13×#388C22semidirect
95. C13×#388C22semidirect
96. C13×#388C22semidirect
97. C13×#388C22semidirect
98. C13×#388C22semidirect
99. C13×#388C22semidirect
100. C13×#388C22semidirect
101. C13×#388C22semidirect
102. C13×#388C22semidirect
103. C13×#388C22semidirect
104. C13×#388C22semidirect
105. C13×#388C22semidirect
106. C13×#388C22semidirect
107. C13×#388C22semidirect
108. C13×#387C22semidirect
109. C13×#387C22semidirect
110. C13×#387C22semidirect
111. C13×#387C22semidirect
112. C13×#387C22semidirect
113. C13×#387C22semidirect
114. C13×#387C22semidirect
115. C13×#387C22semidirect
116. C13×#387C22semidirect
117. C13×#387C22semidirect
132. C13×#386C22semidirect
133. C13×#386C22semidirect
134. C13×#386C22semidirect
135. C13×#386C22semidirect
136. C13×#386C22semidirect
137. C13×#386C22semidirect
138. C13×#386C22semidirect
139. C13×#386C22semidirect
140. C13×#385C22semidirect
141. C13×#385C22semidirect
142. C13×#385C22semidirect
143. C13×#385C22semidirect
144. C13×#385C22semidirect
145. C13×#385C22semidirect
146. C13×#385C22semidirect
147. C13×#385C22semidirect
148. C13×#383C22semidirect
151. C13×#381C22semidirect
152. C13×#381C22semidirect
153. C13×#381C22semidirect
155. C13×#380C22semidirect
156. C13×#380C22semidirect
157. C13×#380C22semidirect
158. C13×#380C22semidirect
159. C13×#380C22semidirect
160. C13×#380C22semidirect
165. C4×C13×C4⋊C4C22semidirect
166. C4×C13×C4⋊C4C22semidirect
167. C4×C13×C4⋊C4C22semidirect
169. C4×C13×C22⋊C4C22semidirect
170. C4×C13×C22⋊C4C22semidirect
171. C4×C13×C22⋊C4C22semidirect
172. C4×C13×C22⋊C4C22semidirect
173. C4×C13×C22⋊C4C22semidirect
174. C4×C13×C22⋊C4C22semidirect
175. C4×C13×C22⋊C4C22semidirect
176. C4×C13×C22⋊C4C22semidirect
177. C4×C13×C22⋊C4C22semidirect
178. C4×C13×C22⋊C4C22semidirect
179. C4×C13×C22⋊C4C22semidirect
180. C4×C13×C22⋊C4C22semidirect
181. C4×C13×C22⋊C4C22semidirect
182. C4×C13×C22⋊C4C22semidirect
183. C13×#376C22semidirect
184. C13×#376C22semidirect
185. C2×C13×#95C22semidirect
186. C2×C13×#95C22semidirect
187. C2×C13×#95C22semidirect
192. C2×C13×#41C2×C4semidirect
196. C22×D4×C13C2×C4semidirect
222. C13×#124C2×C4semidirect
223. C13×#123C2×C4semidirect
224. C13×#123C2×C4semidirect
225. C13×C22⋊Q8C2×C4semidirect
226. C13×#121C2×C4semidirect
227. C13×#121C2×C4semidirect
228. C13×#121C2×C4semidirect
229. C13×#120C2×C4semidirect
230. C13×#120C2×C4semidirect
237. C4×D4×C13C2×C4semidirect
238. C4×D4×C13C2×C4semidirect
266. C2×C13×C22⋊C4C2×C4semidirect
267. C2×C13×C22⋊C4C2×C4semidirect
376. #34492C13direct (N × H)
590. #2378C2×C13semidirect
591. #2377C2×C13semidirect
592. #2376C2×C13semidirect
593. #2375C2×C13semidirect
594. #2372C2×C13semidirect
595. #2364C2×C13semidirect
596. #2363C2×C13semidirect
597. #2359C2×C13semidirect
598. #2358C2×C13semidirect
599. #2353C2×C13semidirect
600. #2353C2×C13semidirect
601. #2342C2×C13semidirect
602. #2342C2×C13semidirect
603. #2339C2×C13semidirect
604. D4×C22⋊C4C2×C13semidirect
605. #2337C2×C13semidirect
606. #2335C2×C13semidirect
607. #2333C2×C13semidirect
608. #2332C2×C13semidirect
609. #2325C2×C13semidirect
610. #2322C2×C13semidirect
611. #2321C2×C13semidirect
612. #2321C2×C13semidirect
613. #2319C2×C13semidirect
614. #2312C2×C13semidirect
615. #2311C2×C13semidirect
616. #2308C2×C13semidirect
617. C4×#121C2×C13semidirect
618. #2290C2×C13semidirect
619. C2×#388C2×C13semidirect
780. #546C4×C13semidirect
794. C2×C4×D4C22×C13semidirect
795. C2×C4×D4C22×C13semidirect
796. C2×C4×D4C22×C13semidirect
797. C2×C4×D4C22×C13semidirect
798. C2×#117C22×C13semidirect
799. C2×#117C22×C13semidirect
800. C22×C4⋊C4C22×C13semidirect
807. C22×C42C22×C13semidirect
808. #391C22×C13semidirect
809. #391C22×C13semidirect
810. #391C22×C13semidirect
811. #391C22×C13semidirect
816. #390C22×C13semidirect
817. #390C22×C13semidirect
818. #390C22×C13semidirect
819. #390C22×C13semidirect
820. #389C22×C13semidirect
821. #389C22×C13semidirect
822. #389C22×C13semidirect
823. #389C22×C13semidirect
836. #388C22×C13semidirect
837. #388C22×C13semidirect
838. #388C22×C13semidirect
839. #388C22×C13semidirect
840. #388C22×C13semidirect
841. #388C22×C13semidirect
842. #388C22×C13semidirect
843. #388C22×C13semidirect
844. #388C22×C13semidirect
845. #388C22×C13semidirect
846. #388C22×C13semidirect
847. #388C22×C13semidirect
848. #388C22×C13semidirect
849. #388C22×C13semidirect
850. #388C22×C13semidirect
851. #388C22×C13semidirect
852. #388C22×C13semidirect
853. #388C22×C13semidirect
854. #387C22×C13semidirect
855. #387C22×C13semidirect
856. #387C22×C13semidirect
857. #387C22×C13semidirect
858. #387C22×C13semidirect
859. #387C22×C13semidirect
860. #387C22×C13semidirect
861. #387C22×C13semidirect
862. #387C22×C13semidirect
863. #387C22×C13semidirect
878. #386C22×C13semidirect
879. #386C22×C13semidirect
880. #386C22×C13semidirect
881. #386C22×C13semidirect
882. #386C22×C13semidirect
883. #386C22×C13semidirect
884. #386C22×C13semidirect
885. #386C22×C13semidirect
886. #385C22×C13semidirect
887. #385C22×C13semidirect
888. #385C22×C13semidirect
889. #385C22×C13semidirect
890. #385C22×C13semidirect
891. #385C22×C13semidirect
892. #385C22×C13semidirect
893. #385C22×C13semidirect
894. #383C22×C13semidirect
897. #381C22×C13semidirect
898. #381C22×C13semidirect
899. #381C22×C13semidirect
901. #380C22×C13semidirect
902. #380C22×C13semidirect
903. #380C22×C13semidirect
904. #380C22×C13semidirect
905. #380C22×C13semidirect
906. #380C22×C13semidirect
911. C4×C4⋊C4C22×C13semidirect
912. C4×C4⋊C4C22×C13semidirect
913. C4×C4⋊C4C22×C13semidirect
915. C4×C22⋊C4C22×C13semidirect
916. C4×C22⋊C4C22×C13semidirect
917. C4×C22⋊C4C22×C13semidirect
918. C4×C22⋊C4C22×C13semidirect
919. C4×C22⋊C4C22×C13semidirect
920. C4×C22⋊C4C22×C13semidirect
921. C4×C22⋊C4C22×C13semidirect
922. C4×C22⋊C4C22×C13semidirect
923. C4×C22⋊C4C22×C13semidirect
924. C4×C22⋊C4C22×C13semidirect
925. C4×C22⋊C4C22×C13semidirect
926. C4×C22⋊C4C22×C13semidirect
927. C4×C22⋊C4C22×C13semidirect
928. C4×C22⋊C4C22×C13semidirect
929. #376C22×C13semidirect
930. #376C22×C13semidirect
931. C2×#95C22×C13semidirect
932. C2×#95C22×C13semidirect
933. C2×#95C22×C13semidirect
1014. C2×#41C2×C4×C13semidirect
1018. C22×D4C2×C4×C13semidirect
1044. #124C2×C4×C13semidirect
1045. #123C2×C4×C13semidirect
1046. #123C2×C4×C13semidirect
1047. C22⋊Q8C2×C4×C13semidirect
1048. #121C2×C4×C13semidirect
1049. #121C2×C4×C13semidirect
1050. #121C2×C4×C13semidirect
1051. #120C2×C4×C13semidirect
1052. #120C2×C4×C13semidirect
1059. C4×D4C2×C4×C13semidirect
1060. C4×D4C2×C4×C13semidirect
1088. C2×C22⋊C4C2×C4×C13semidirect
1089. C2×C22⋊C4C2×C4×C13semidirect
1423. C13#34492direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C13×#5462
C13×#23782
C13×#23772
C13×#23762
C13×#23752
C13×#23722
C13×#23642
C13×#23632
C13×#23592
C13×#23582
C13×#23532
C13×#23422
C13×#23392
D4×C13×C22⋊C42
C13×#23372
C13×#23352
C13×#23332
C13×#23322
C13×#23252
C13×#23222
C13×#23212
C13×#23192
C13×#23122
C13×#23112
C13×#23082
C4×C13×#1212
C13×#22902
C2×C13×#3882
#3449213