Finite Group Databasebeta

← C13×#62927 #15749266

Subgroups — C13×#62927 #15749266

Order 3328.

7096 conjugacy classes of subgroups.

The subgroup lattice has 1584 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3560C214yesmaximal, complemented
2C13×#3559C214yesmaximal, complemented
3C13×#3551C214yesmaximal, complemented
4C13×#3547C214yesmaximal, complemented
5C13×#3542C214yesmaximal, complemented
6C13×#3541C214yesmaximal, complemented
7C13×#3539C214yesmaximal, complemented
8C13×#3538C214yesmaximal, complemented
9C13×#3534C214yesmaximal, complemented
10C13×#3520C214yesmaximal, complemented
11C13×#3512C212yesmaximal, complemented
12C13×#3505C214yesmaximal, complemented
13C13×#3497C211yesmaximal, characteristic, complemented
14C13×#3494C214yesmaximal, complemented
15C13×#3493C211yesmaximal, characteristic, complemented
16C13×#3492C211yesmaximal, characteristic, complemented
17C13×#3489C212yesmaximal, complemented
18C13×#3489C212yesmaximal, complemented
19C2×C13×#552C211yesmaximal, characteristic, complemented
20D4×C13×#41C212yesmaximal, complemented
21C13×#3461C211yesmaximal, characteristic, complemented
22C13×#3449C211yesmaximal, characteristic, complemented
23C2×C13×#537C211yesmaximal, characteristic, complemented
24C2×C13×2−1+4C2212yescomplemented
25C22×C13×#41C2212yescomplemented
26C22×C13×#41C2212yescomplemented
27C13×#563C2218yescomplemented
28C13×#563C2218yescomplemented
29C13×#562C2218yescomplemented
30C13×#562C2218yescomplemented
31C13×#560C2218yescomplemented
32C13×#560C2218yescomplemented
33C13×#556C2214yescomplemented
34C13×#555C2214yescomplemented
35C13×#555C2218yescomplemented
36C13×#554C2218yescomplemented
37C13×#554C2214yescomplemented
38C13×#553C2218yescomplemented
39C13×#553C2218yescomplemented
40C13×#553C2214yescomplemented
41C13×#553C2218yescomplemented
42C13×#553C2214yescomplemented
43C13×#553C2214yescomplemented
44C13×#553C2218yescomplemented
45C13×#553C2214yescomplemented
46C13×#553C2218yescomplemented
47C13×#552C2214yescomplemented
48C13×#552C2214yescomplemented
49C13×#552C2214yescomplemented
50C13×#552C2214yescomplemented
51C13×#552C2214yescomplemented
52C13×#552C2214yescomplemented
53C13×#552C2214yescomplemented
54C13×#552C2214yescomplemented
55C13×#551C2218yescomplemented
56C13×#551C2218yescomplemented
57C13×#551C2218yescomplemented
58C13×#551C2218yescomplemented
59C13×#550C2212yescomplemented
60C13×#550C2214yescomplemented
61D4×Q8×C13C2214yescomplemented
62D4×Q8×C13C2212yescomplemented
63D4×Q8×C13C2214yescomplemented
64D4×Q8×C13C2214yescomplemented
65C13×#548C2212yes—
66C13×#548C2214yescomplemented
67C13×#548C2214yescomplemented
68C13×#548C2214yescomplemented
69C13×#548C2212yescomplemented
70C13×#548C2214yescomplemented
71C13×#547C2214yescomplemented
72C13×#547C2214yescomplemented
73C13×#547C2214yescomplemented
74C13×#547C2212yescomplemented
75C13×#547C2214yescomplemented
76C13×#547C2218yescomplemented
77C13×#547C2218yescomplemented
78C13×#546C2212yes—
79C13×#546C2218yescomplemented
80C13×#546C2218yescomplemented
81C13×#546C2218yescomplemented
82C13×#546C2214yescomplemented
83C13×#546C2214yescomplemented
84C13×#546C2212yescomplemented
85C13×#546C2214yescomplemented
86C13×#546C2214yescomplemented
87D42×C13C2214yes—
88D42×C13C2212yescomplemented
89C13×#544C2214yescomplemented
90C13×#544C2218yescomplemented
91C13×#544C2211yescharacteristic, complemented
92C13×#542C2218yescomplemented
93C13×#542C2214yescomplemented
94C13×#542C2214yescomplemented
95C13×#542C2214yescomplemented
96C13×#541C2214yescomplemented
97C13×#541C2214yescomplemented
98C13×#540C2218yescomplemented
99C13×#540C2214yescomplemented
100C13×#540C2214yescomplemented
101C13×#540C2218yescomplemented
102C13×#540C2214yescomplemented
103C13×#539C2218yescomplemented
104C13×#539C2218yescomplemented
105C13×#539C2214yescomplemented
106C13×#539C2218yescomplemented
107C13×#539C2218yescomplemented
108C13×#539C2214yescomplemented
109C13×#538C2218yescomplemented
110C13×#538C2214yescomplemented
111C13×#538C2218yescomplemented
112C13×#538C2218yescomplemented
113C13×#537C2211yescharacteristic
114C13×#537C2214yescomplemented
115C13×#537C2214yescomplemented
116C13×#537C2214yescomplemented
117C13×#537C2214yescomplemented
118C13×#537C2214yescomplemented
119C13×#537C2214yescomplemented
120C13×#537C2212yescomplemented
121C13×#537C2211yescharacteristic, complemented
122C13×#537C2212yescomplemented
123C13×#537C2211yescharacteristic, complemented
124C13×#536C2214yescomplemented
125C13×#536C2214yescomplemented
126C13×#536C2214yescomplemented
127C13×#536C2212yescomplemented
128C13×#535C2214yescomplemented
129C13×#535C2214yescomplemented
130C13×#534C2218yescomplemented
131C13×#534C2214yescomplemented
132C13×#533C2214yescomplemented
133C13×#532C2214yescomplemented
134C13×#532C2214yescomplemented
135C13×#532C2214yescomplemented
136C13×#532C2212yescomplemented
137C13×#529C2214yescomplemented
138C13×#529C2214yescomplemented
139C13×#529C2214yescomplemented
140C13×#529C2214yescomplemented
141C13×#529C2214yescomplemented
142C2×C13×#126C2212yescomplemented
143C2×C13×#125C2212yescomplemented
144C2×C13×#125C2211yescharacteristic, complemented
145C13×#525C2214yes—
146C13×#525C2214yescomplemented
147C13×#525C2214yescomplemented
148C13×#525C2214yescomplemented
149C13×#525C2214yescomplemented
150C13×#525C2214yescomplemented
151C13×#525C2214yescomplemented
152C13×#525C2212yescomplemented
153C13×#525C2212yescomplemented
154C2×C13×#123C2212yes—
155C2×C13×C22⋊Q8C2214yescomplemented
156C2×C13×C22⋊Q8C2214yescomplemented
157C2×C13×C22⋊Q8C2214yescomplemented
158C2×C13×C22⋊Q8C2211yescharacteristic, complemented
159C2×C13×C22⋊Q8C2211yescharacteristic, complemented
160C2×C13×#121C2214yescomplemented
161C2×C13×#121C2214yescomplemented
162C13×#520C2214yescomplemented
163C13×#520C2212yescomplemented
164C13×#520C2212yescomplemented
165C13×#518C2214yescomplemented
166C4×C13×#41C2212yescomplemented
167C2×C4×Q8×C13C2211yescharacteristic, complemented
168C2×C4×D4×C13C2211yescharacteristic
169C2×C4×D4×C13C2214yescomplemented
170C2×C13×#117C2211yescharacteristic, complemented
171C2×C13×#117C2212yescomplemented
172C22×C13×C4⋊C4C2211yescharacteristic, complemented
173C13×2−1+4—48no—
174C2×C13×#41—48no—
175C2×C13×#41—48no—
176C2×C13×#41C2312yes—
177C2×C13×#41C2312yes—
178C2×C13×#41C2312yes—
179C2×C13×#41C2314yes—
180C2×C13×#41C2314yes—
181C2×C13×#41C2312yes—
182C2×C13×#41C2312yes—
183C2×C13×#41C2314yes—
184C2×C13×#41C2314yes—
185C2×C13×#41C2314yes—
186C2×C13×#41C2314yes—
187C2×C13×#41C2318yes—
188C2×C13×#41C2314yes—
189C2×C13×#41C2312yes—
190C2×C13×#41C2312yes—
191C22×Q8×C13C2311yescharacteristic
192C22×Q8×C13C2312yes—
193C22×Q8×C13C2314yes—
194C22×Q8×C13C2314yes—
195C22×Q8×C13C2312yes—
196C22×D4×C13C2311yescharacteristic
197C22×D4×C13C2314yes—
198C22×D4×C13C2314yes—
199C22×D4×C13C2314yes—
200C22×D4×C13C2312yes—
201C22×D4×C13C2314yes—
202C22×D4×C13C2312yes—
203C23×C4×C13C2311yescharacteristic
204C23×C4×C13C2311yescharacteristic
205C23×C4×C13C2312yes—
206C23×C4×C13C2314yes—
207C23×C4×C13C2314yes—
208C13×C4⋊Q8C2314yes—
209C13×C4⋊Q8C2312yes—
210C13×C4⋊Q8C2314yes—
211C13×C4⋊Q8C2314yes—
212C13×C4⋊Q8C2314yes—
213C13×C4⋊Q8C2314yes—
214C13×C4⋊Q8C2318yes—
215C13×C4⋊Q8C2318yes—
216C13×#127C2314yes—
217C13×#127C2314yes—
218C13×#127C2314yes—
219C13×#127C2312yes—
220C13×#126C2318yes—
221C13×#126C2318yes—
222C13×#126C2318yes—
223C13×#126C2318yes—
224C13×#126C2318yes—
225C13×#126C2318yes—
226C13×#126C2318yes—
227C13×#126C2318yes—
228C13×#126C2318yes—
229C13×#126C2318yes—
230C13×#126C2318yes—
231C13×#125C2314yes—
232C13×#125C2318yes—
233C13×#125C2314yes—
234C13×#125C2318yes—
235C13×#125C2314yes—
236C13×#125C2314yes—
237C13×#125C2314yes—
238C13×#125C2318yes—
239C13×#125C2318yes—
240C13×#125C2318yes—
241C13×#125C2318yes—
242C13×#124C2312yes—
243C13×#124C2312yes—
244C13×#124C2314yes—
245C13×#124C2314yes—
246C13×#124C2314yes—
247C13×#124C2318yes—
248C13×#124C2318yes—
249C13×#124C2314yes—
250C13×#124C2314yes—
251C13×#124C2318yes—
252C13×#124C2318yes—
253C13×#124C2318yes—
254C13×#123C2318yes—
255C13×#123C2318yes—
256C13×#123C2314yes—
257C13×#123C2314yes—
258C13×#123C2314yes—
259C13×#123C2318yes—
260C13×#123C2318yes—
261C13×#123C2318yes—
262C13×#123C2314yes—
263C13×#123C2314yes—
264C13×#123C2318yes—
265C13×#123C2318yes—
266C13×#123C2314yes—
267C13×#123C2318yes—
268C13×#123C2318yes—
269C13×#123C2318yes—
270C13×#123C2318yes—
271C13×#123C2318yes—
272C13×#123C2318yes—
273C13×#123C2318yes—
274C13×#123C2318yes—
275C13×#123C2318yes—
276C13×#123C2318yes—
277C13×#123C2318yes—
278C13×#123C2318yes—
279C13×C22⋊Q8C2312yes—
280C13×C22⋊Q8C2314yes—
281C13×C22⋊Q8C2312yes—
282C13×C22⋊Q8C2314yes—
283C13×C22⋊Q8C2314yes—
284C13×C22⋊Q8C2314yes—
285C13×C22⋊Q8C2314yes—
286C13×C22⋊Q8C2314yes—
287C13×C22⋊Q8C2314yes—
288C13×C22⋊Q8C2314yes—
289C13×C22⋊Q8C2314yes—
290C13×C22⋊Q8C2318yes—
291C13×C22⋊Q8C2314yes—
292C13×C22⋊Q8C2314yes—
293C13×C22⋊Q8C2318yes—
294C13×C22⋊Q8C2318yes—
295C13×C22⋊Q8C2318yes—
296C13×C22⋊Q8C2318yes—
297C13×C22⋊Q8C2318yes—
298C13×C22⋊Q8C2314yes—
299C13×C22⋊Q8C2314yes—
300C13×C22⋊Q8C2314yes—
301C13×C22⋊Q8C2312yes—
302C13×C22⋊Q8C2312yes—
303C13×C22⋊Q8C2314yes—
304C13×C22⋊Q8C2314yes—
305C13×C22⋊Q8C2314yes—
306C13×C22⋊Q8C2314yes—
307C13×C22⋊Q8C2314yes—
308C13×C22⋊Q8C2318yes—
309C13×C22⋊Q8C2318yes—
310C13×C22⋊Q8C2318yes—
311C13×C22⋊Q8C2318yes—
312C13×C22⋊Q8C2318yes—
313C13×C22⋊Q8C2318yes—
314C13×#121C2314yes—
315C13×#121C2314yes—
316C13×#121C2314yes—
317C13×#121C2314yes—
318C13×#121C2318yes—
319C13×#121C2314yes—
320C13×#121C2314yes—
321C13×#121C2318yes—
322C13×#121C2314yes—
323C13×#121C2314yes—
324C13×#121C2318yes—
325C13×#121C2318yes—
326C13×#121C2314yes—
327C13×#121C2314yes—
328C13×#121C2312yes—
329C13×#121C2312yes—
330C13×#121C2314yes—
331C13×#121C2314yes—
332C13×#121C2314yes—
333C13×#121C2314yes—
334C13×#121C2312yes—
335C13×#121C2312yes—
336C13×#121C2314yes—
337C13×#121C2314yes—
338C13×#121C2314yes—
339C13×#121C2314yes—
340C13×#121C2318yes—
341C13×#121C2314yes—
342C13×#121C2314yes—
343C13×#121C2314yes—
344C13×#121C2314yes—
345C13×#121C2314yes—
346C13×#121C2318yes—
347C13×#121C2318yes—
348C13×#121C2318yes—
349C13×#121C2318yes—
350C13×#121C2318yes—
351C13×#121C2318yes—
352C13×#121C2318yes—
353C13×#121C2318yes—
354C13×#121C2318yes—
355C13×#121C2318yes—
356C13×#121C2318yes—
357C13×#120C2314yes—
358C13×#120C2314yes—
359C13×#120C2314yes—
360C13×#120C2318yes—
361C13×#120C2318yes—
362C13×#120C2318yes—
363C13×#120C2318yes—
364C13×#120C2314yes—
365C13×#120C2314yes—
366C13×#120C2314yes—
367C4×Q8×C13C2314yes—
368C4×Q8×C13C2314yes—
369C4×Q8×C13C2312yes—
370C4×Q8×C13C2312yes—
371C4×Q8×C13C2314yes—
372C4×Q8×C13C2314yes—
373C4×Q8×C13C2314yes—
374C4×Q8×C13C2314yes—
375C4×D4×C13C2312yes—
376C4×D4×C13C2312yes—
377C4×D4×C13C2312yes—
378C4×D4×C13C2312yes—
379C4×D4×C13C2314yes—
380C4×D4×C13C2314yes—
381C4×D4×C13C2314yes—
382C4×D4×C13C2314yes—
383C4×D4×C13C2314yes—
384C4×D4×C13C2314yes—
385C4×D4×C13C2314yes—
386C4×D4×C13C2312yes—
387C4×D4×C13C2314yes—
388C4×D4×C13C2314yes—
389C4×D4×C13C2312yes—
390C4×D4×C13C2314yes—
391C4×D4×C13C2318yes—
392C4×D4×C13C2314yes—
393C4×D4×C13C2318yes—
394C4×D4×C13C2314yes—
395C4×D4×C13C2314yes—
396C4×D4×C13C2314yes—
397C4×D4×C13C2318yes—
398C4×D4×C13C2318yes—
399C4×D4×C13C2318yes—
400C4×D4×C13C2314yes—
401C4×D4×C13C2314yes—
402C4×D4×C13C2314yes—
403C4×D4×C13C2314yes—
404C4×D4×C13C2314yes—
405C4×D4×C13C2314yes—
406C4×D4×C13C2318yes—
407C4×D4×C13C2318yes—
408C4×D4×C13C2318yes—
409C4×D4×C13C2318yes—
410C4×D4×C13C2318yes—
411C4×D4×C13C2318yes—
412C13×#117C2314yes—
413C13×#117C2314yes—
414C13×#117C2314yes—
415C13×#117C2314yes—
416C13×#117C2314yes—
417C13×#117C2314yes—
418C13×#117C2312yes—
419C13×#117C2314yes—
420C13×#117C2314yes—
421C13×#117C2314yes—
422C13×#117C2314yes—
423C13×#117C2318yes—
424C13×#117C2318yes—
425C13×#117C2318yes—
426C13×#117C2318yes—
427C2×C13×C4⋊C4C2311yescharacteristic
428C2×C13×C4⋊C4C2311yescharacteristic
429C2×C13×C4⋊C4C2314yes—
430C2×C13×C4⋊C4C2312yes—
431C2×C13×C4⋊C4C2314yes—
432C2×C13×C4⋊C4C2311yescharacteristic
433C2×C13×C4⋊C4C2312yes—
434C2×C13×C4⋊C4C2312yes—
435C2×C13×C4⋊C4C2311yescharacteristic
436C2×C13×C4⋊C4C2314yes—
437C2×C13×C4⋊C4C2312yes—
438C2×C13×C4⋊C4C2314yes—
439C2×C13×C4⋊C4C2314yes—
440C2×C13×C4⋊C4C2314yes—
441C2×C13×C4⋊C4C2318yes—
442C2×C13×C4⋊C4C2312yes—
443C2×C13×C4⋊C4C2318yes—
444C2×C13×C4⋊C4C2312yes—
445C2×C13×C22⋊C4C2311yescharacteristic
446C2×C13×C22⋊C4C2312yes—
447C2×C13×C22⋊C4C2312yes—
448C2×C13×C22⋊C4C2311yescharacteristic
449C2×C13×C22⋊C4C2314yes—
450C2×C13×C22⋊C4C2314yes—
451C2×C13×C22⋊C4C2318yes—
452C2×C13×C22⋊C4C2318yes—
453C2×C13×C22⋊C4C2312yes—
454C2×C13×C22⋊C4C2318yes—
455C2×C42×C13C2312yes—
456C2×C42×C13C2312yes—
457C2×C42×C13C2311yescharacteristic
458C2×C42×C13C2314yes—
459#62927C1311yesmaximal, characteristic, direct product factor, Sylow
460C24×C13C2411yescharacteristic
461C24×C13C2411yescharacteristic
462C24×C13C2414yes—
463C24×C13C2414yes—
464C13×#41—28no—
465C13×#41—28no—
466C13×#41—28no—
467C13×#41—48no—
468C13×#41—48no—
469C13×#41—48no—
470C13×#41—48no—
471C13×#41—48no—
472C13×#41—416no—
473C13×#41—44no—
474C13×#41—44no—
475C13×#41—44no—
476C13×#41—44no—
477C13×#41—48no—
478C13×#41—48no—
479C2×Q8×C13—24no—
480C2×Q8×C13—44no—
481C2×Q8×C13—44no—
482C2×Q8×C13—48no—
483C2×Q8×C13—48no—
484C2×Q8×C13C2414yes—
485C2×Q8×C13C2412yes—
486C2×Q8×C13C2412yes—
487C2×Q8×C13C2412yes—
488C2×Q8×C13C2414yes—
489C2×Q8×C13C2414yes—
490C2×Q8×C13C2418yes—
491C2×Q8×C13C2414yes—
492C2×D4×C13—44no—
493C2×D4×C13—44no—
494C2×D4×C13—48no—
495C2×D4×C13—42no—
496C2×D4×C13—48no—
497C2×D4×C13—48no—
498C2×D4×C13—48no—
499C2×D4×C13C2414yes—
500C2×D4×C13C2412yes—
501C2×D4×C13C2414yes—
502C2×D4×C13C2414yes—
503C2×D4×C13C2414yes—
504C2×D4×C13C2412yes—
505C2×D4×C13C2412yes—
506C2×D4×C13C2412yes—
507C2×D4×C13C2414yes—
508C2×D4×C13C2418yes—
509C2×D4×C13C2414yes—
510C2×D4×C13C2414yes—
511C2×D4×C13C2414yes—
512C2×D4×C13C2414yes—
513C2×D4×C13C2414yes—
514C2×D4×C13C2412yes—
515C2×D4×C13C2418yes—
516C2×D4×C13C2414yes—
517C2×D4×C13C2414yes—
518C2×D4×C13C2414yes—
519C2×D4×C13C2418yes—
520C2×D4×C13C2414yes—
521C2×D4×C13C2414yes—
522C2×D4×C13C2414yes—
523C2×D4×C13C2414yes—
524C2×D4×C13C2414yes—
525C22×C4×C13—24no—
526C22×C4×C13—24no—
527C22×C4×C13—48no—
528C22×C4×C13—48no—
529C22×C4×C13—44no—
530C22×C4×C13C2411yescharacteristic
531C22×C4×C13C2412yes—
532C22×C4×C13C2414yes—
533C22×C4×C13C2414yes—
534C22×C4×C13C2411yescharacteristic
535C22×C4×C13C2412yes—
536C22×C4×C13C2412yes—
537C22×C4×C13C2414yes—
538C22×C4×C13C2414yes—
539C22×C4×C13C2412yes—
540C22×C4×C13C2412yes—
541C22×C4×C13C2411yescharacteristic
542C22×C4×C13C2412yes—
543C22×C4×C13C2412yes—
544C22×C4×C13C2414yes—
545C22×C4×C13C2411yescharacteristic
546C22×C4×C13C2414yes—
547C22×C4×C13C2414yes—
548C22×C4×C13C2412yes—
549C22×C4×C13C2418yes—
550C22×C4×C13C2418yes—
551C22×C4×C13C2414yes—
552C22×C4×C13C2418yes—
553C22×C4×C13C2418yes—
554C22×C4×C13C2414yes—
555C22×C4×C13C2414yes—
556C22×C4×C13C2414yes—
557C22×C4×C13C2414yes—
558C22×C4×C13C2414yes—
559C22×C4×C13C2411yescharacteristic
560C13×C4⋊C4C2414yes—
561C13×C4⋊C4C2414yes—
562C13×C4⋊C4C2414yes—
563C13×C4⋊C4C2412yes—
564C13×C4⋊C4C2414yes—
565C13×C4⋊C4C2418yes—
566C13×C4⋊C4C2414yes—
567C13×C4⋊C4C2412yes—
568C13×C4⋊C4C2412yes—
569C13×C4⋊C4C2418yes—
570C13×C4⋊C4C2418yes—
571C13×C4⋊C4C2414yes—
572C13×C4⋊C4C2414yes—
573C13×C4⋊C4C2414yes—
574C13×C4⋊C4C2414yes—
575C13×C4⋊C4C2418yes—
576C13×C4⋊C4C2418yes—
577C13×C4⋊C4C2418yes—
578C13×C4⋊C4C2414yes—
579C13×C4⋊C4C2412yes—
580C13×C4⋊C4C2414yes—
581C13×C4⋊C4C2414yes—
582C13×C4⋊C4C2414yes—
583C13×C4⋊C4C2418yes—
584C13×C4⋊C4C2418yes—
585C13×C4⋊C4C2418yes—
586C13×C4⋊C4C2418yes—
587C13×C4⋊C4C2414yes—
588C13×C4⋊C4C2418yes—
589C13×C4⋊C4C2414yes—
590C13×C4⋊C4C2414yes—
591C13×C4⋊C4C2414yes—
592C13×C4⋊C4C2414yes—
593C13×C4⋊C4C2414yes—
594C13×C22⋊C4C2411yescharacteristic
595C13×C22⋊C4C2414yes—
596C13×C22⋊C4C2414yes—
597C13×C22⋊C4C2412yes—
598C13×C22⋊C4C2418yes—
599C13×C22⋊C4C2414yes—
600C13×C22⋊C4C2418yes—
601C13×C22⋊C4C2411yescharacteristic
602C13×C22⋊C4C2411yescharacteristic
603C13×C22⋊C4C2411yescharacteristic
604C13×C22⋊C4C2414yes—
605C13×C22⋊C4C2418yes—
606C13×C22⋊C4C2414yes—
607C13×C22⋊C4C2418yes—
608C13×C22⋊C4C2418yes—
609C13×C22⋊C4C2418yes—
610C13×C22⋊C4C2418yes—
611C13×C22⋊C4C2414yes—
612C13×C22⋊C4C2414yes—
613C13×C22⋊C4C2412yes—
614C13×C22⋊C4C2414yes—
615C13×C22⋊C4C2418yes—
616C13×C22⋊C4C2418yes—
617C13×C22⋊C4C2414yes—
618C13×C22⋊C4C2414yes—
619C13×C22⋊C4C2414yes—
620C13×C22⋊C4C2414yes—
621C13×C22⋊C4C2414yes—
622C13×C22⋊C4C2414yes—
623C13×C22⋊C4C2418yes—
624C13×C22⋊C4C2418yes—
625C13×C22⋊C4C2418yes—
626C13×C22⋊C4C2414yes—
627C13×C22⋊C4C2418yes—
628C13×C22⋊C4C2414yes—
629C13×C22⋊C4C2414yes—
630C42×C13C2412yes—
631C42×C13C2414yes—
632C42×C13C2414yes—
633C42×C13C2414yes—
634C42×C13C2414yes—
635C42×C13C2414yes—
636C42×C13C2412yes—
637C42×C13C2414yes—
638C42×C13C2414yes—
639C42×C13C2418yes—
640C42×C13C2418yes—
641#3560C2×C1314yescomplemented
642#3559C2×C1314yescomplemented
643#3551C2×C1314yescomplemented
644#3547C2×C1314yescomplemented
645#3542C2×C1314yescomplemented
646#3541C2×C1314yescomplemented
647#3539C2×C1314yescomplemented
648#3538C2×C1314yescomplemented
649#3534C2×C1314yescomplemented
650#3520C2×C1314yescomplemented
651#3512C2×C1312yescomplemented
652#3505C2×C1314yescomplemented
653#3497C2×C1311yescharacteristic, complemented
654#3494C2×C1314yescomplemented
655#3493C2×C1311yescharacteristic, complemented
656#3492C2×C1311yescharacteristic, complemented
657#3489C2×C1312yescomplemented
658#3489C2×C1312yescomplemented
659C2×#552C2×C1311yescharacteristic, complemented
660D4×#41C2×C1312yescomplemented
661#3461C2×C1311yescharacteristic, complemented
662#3449C2×C1311yescharacteristic, complemented
663C2×#537C2×C1311yescharacteristic, complemented
664C23×C13—22no—
665C23×C13—22no—
666C23×C13—22no—
667C23×C13—28no—
668C23×C13—41no—
669C23×C13—44no—
670C23×C13—44no—
671C23×C13—41no—
672C23×C13—44no—
673C23×C13—41no—
674C23×C13—44no—
675C23×C13—44no—
676C23×C13C2512yes—
677C23×C13C2514yes—
678C23×C13C2511yescharacteristic
679C23×C13C2514yes—
680C23×C13C2514yes—
681C23×C13C2511yescharacteristic
682C23×C13C2511yescharacteristic
683Q8×C13—28no—
684Q8×C13—24no—
685Q8×C13—24no—
686Q8×C13—24no—
687Q8×C13—48no—
688Q8×C13—44no—
689Q8×C13—44no—
690Q8×C13—44no—
691D4×C13—28no—
692D4×C13—28no—
693D4×C13—28no—
694D4×C13—24no—
695D4×C13—28no—
696D4×C13—24no—
697D4×C13—24no—
698D4×C13—24no—
699D4×C13—48no—
700D4×C13—44no—
701D4×C13—44no—
702D4×C13—42no—
703D4×C13—44no—
704D4×C13—44no—
705D4×C13—44no—
706D4×C13—44no—
707D4×C13—44no—
708D4×C13—44no—
709D4×C13—44no—
710D4×C13—44no—
711D4×C13—44no—
712D4×C13—48no—
713D4×C13—44no—
714D4×C13—44no—
715D4×C13—44no—
716D4×C13—48no—
717C2×C4×C13—22no—
718C2×C4×C13—22no—
719C2×C4×C13—24no—
720C2×C4×C13—28no—
721C2×C4×C13—24no—
722C2×C4×C13—24no—
723C2×C4×C13—24no—
724C2×C4×C13—24no—
725C2×C4×C13—28no—
726C2×C4×C13—28no—
727C2×C4×C13—28no—
728C2×C4×C13—42no—
729C2×C4×C13—44no—
730C2×C4×C13—42no—
731C2×C4×C13—44no—
732C2×C4×C13—44no—
733C2×C4×C13—44no—
734C2×C4×C13—44no—
735C2×C4×C13—44no—
736C2×C4×C13—44no—
737C2×C4×C13—44no—
738C2×C4×C13—41no—
739C2×C4×C13—42no—
740C2×C4×C13—48no—
741C2×C4×C13—41no—
742C2×C4×C13—44no—
743C2×C4×C13—48no—
744C2×C4×C13—48no—
745C2×C4×C13—48no—
746C2×C4×C13H(5,𝔽2)14yes—
747C2×C4×C13C2511yescharacteristic
748C2×C4×C13C2511yescharacteristic
749C2×C4×C13C2514yes—
750C2×C4×C13C2514yes—
751C2×C4×C13C2514yes—
752C2×C4×C13C2514yes—
753C2×C4×C13C2512yes—
754C2×C4×C13C2511yescharacteristic
755C2×C4×C13C2511yescharacteristic
756C2×C4×C13C2514yes—
757C2×C4×C13C2514yes—
758C2×C4×C13C2514yes—
759C2×C4×C13C2514yes—
760C2×C4×C13C2514yes—
761C2×C4×C13C2512yes—
762C2×C4×C13C2512yes—
763C2×2−1+4C22×C1312yescomplemented
764C22×#41C22×C1312yescomplemented
765C22×#41C22×C1312yescomplemented
766#563C22×C1318yescomplemented
767#563C22×C1318yescomplemented
768#562C22×C1318yescomplemented
769#562C22×C1318yescomplemented
770#560C22×C1318yescomplemented
771#560C22×C1318yescomplemented
772#556C22×C1314yescomplemented
773#555C22×C1314yescomplemented
774#555C22×C1318yescomplemented
775#554C22×C1314yescomplemented
776#554C22×C1318yescomplemented
777#553C22×C1314yescomplemented
778#553C22×C1314yescomplemented
779#553C22×C1318yescomplemented
780#553C22×C1318yescomplemented
781#553C22×C1314yescomplemented
782#553C22×C1318yescomplemented
783#553C22×C1318yescomplemented
784#553C22×C1318yescomplemented
785#553C22×C1314yescomplemented
786#552C22×C1314yescomplemented
787#552C22×C1314yescomplemented
788#552C22×C1314yescomplemented
789#552C22×C1314yescomplemented
790#552C22×C1314yescomplemented
791#552C22×C1314yescomplemented
792#552C22×C1314yescomplemented
793#552C22×C1314yescomplemented
794#551C22×C1318yescomplemented
795#551C22×C1318yescomplemented
796#551C22×C1318yescomplemented
797#551C22×C1318yescomplemented
798#550C22×C1312yescomplemented
799#550C22×C1314yescomplemented
800D4×Q8C22×C1312yescomplemented
801D4×Q8C22×C1314yescomplemented
802D4×Q8C22×C1314yescomplemented
803D4×Q8C22×C1314yescomplemented
804#548C22×C1312yes—
805#548C22×C1312yescomplemented
806#548C22×C1314yescomplemented
807#548C22×C1314yescomplemented
808#548C22×C1314yescomplemented
809#548C22×C1314yescomplemented
810#547C22×C1312yescomplemented
811#547C22×C1314yescomplemented
812#547C22×C1318yescomplemented
813#547C22×C1314yescomplemented
814#547C22×C1314yescomplemented
815#547C22×C1318yescomplemented
816#547C22×C1314yescomplemented
817#546C22×C1312yes—
818#546C22×C1314yescomplemented
819#546C22×C1312yescomplemented
820#546C22×C1314yescomplemented
821#546C22×C1318yescomplemented
822#546C22×C1314yescomplemented
823#546C22×C1318yescomplemented
824#546C22×C1314yescomplemented
825#546C22×C1318yescomplemented
826D42C22×C1314yes—
827D42C22×C1312yescomplemented
828#544C22×C1311yescharacteristic, complemented
829#544C22×C1314yescomplemented
830#544C22×C1318yescomplemented
831#542C22×C1314yescomplemented
832#542C22×C1314yescomplemented
833#542C22×C1314yescomplemented
834#542C22×C1318yescomplemented
835#541C22×C1314yescomplemented
836#541C22×C1314yescomplemented
837#540C22×C1314yescomplemented
838#540C22×C1314yescomplemented
839#540C22×C1314yescomplemented
840#540C22×C1318yescomplemented
841#540C22×C1318yescomplemented
842#539C22×C1314yescomplemented
843#539C22×C1314yescomplemented
844#539C22×C1318yescomplemented
845#539C22×C1318yescomplemented
846#539C22×C1318yescomplemented
847#539C22×C1318yescomplemented
848#538C22×C1314yescomplemented
849#538C22×C1318yescomplemented
850#538C22×C1318yescomplemented
851#538C22×C1318yescomplemented
852#537C22×C1311yescharacteristic
853#537C22×C1312yescomplemented
854#537C22×C1311yescharacteristic, complemented
855#537C22×C1314yescomplemented
856#537C22×C1314yescomplemented
857#537C22×C1314yescomplemented
858#537C22×C1312yescomplemented
859#537C22×C1311yescharacteristic, complemented
860#537C22×C1314yescomplemented
861#537C22×C1314yescomplemented
862#537C22×C1314yescomplemented
863#536C22×C1314yescomplemented
864#536C22×C1312yescomplemented
865#536C22×C1314yescomplemented
866#536C22×C1314yescomplemented
867#535C22×C1314yescomplemented
868#535C22×C1314yescomplemented
869#534C22×C1314yescomplemented
870#534C22×C1318yescomplemented
871#533C22×C1314yescomplemented
872#532C22×C1314yescomplemented
873#532C22×C1312yescomplemented
874#532C22×C1314yescomplemented
875#532C22×C1314yescomplemented
876#529C22×C1314yescomplemented
877#529C22×C1314yescomplemented
878#529C22×C1314yescomplemented
879#529C22×C1314yescomplemented
880#529C22×C1314yescomplemented
881C2×#126C22×C1312yescomplemented
882C2×#125C22×C1311yescharacteristic, complemented
883C2×#125C22×C1312yescomplemented
884#525C22×C1314yes—
885#525C22×C1314yescomplemented
886#525C22×C1314yescomplemented
887#525C22×C1312yescomplemented
888#525C22×C1312yescomplemented
889#525C22×C1314yescomplemented
890#525C22×C1314yescomplemented
891#525C22×C1314yescomplemented
892#525C22×C1314yescomplemented
893C2×#123C22×C1312yes—
894C2×C22⋊Q8C22×C1314yescomplemented
895C2×C22⋊Q8C22×C1311yescharacteristic, complemented
896C2×C22⋊Q8C22×C1311yescharacteristic, complemented
897C2×C22⋊Q8C22×C1314yescomplemented
898C2×C22⋊Q8C22×C1314yescomplemented
899C2×#121C22×C1314yescomplemented
900C2×#121C22×C1314yescomplemented
901#520C22×C1312yescomplemented
902#520C22×C1312yescomplemented
903#520C22×C1314yescomplemented
904#518C22×C1314yescomplemented
905C4×#41C22×C1312yescomplemented
906C2×C4×Q8C22×C1311yescharacteristic, complemented
907C2×C4×D4C22×C1311yescharacteristic
908C2×C4×D4C22×C1314yescomplemented
909C2×#117C22×C1311yescharacteristic, complemented
910C2×#117C22×C1312yescomplemented
911C22×C4⋊C4C22×C1311yescharacteristic, complemented
912C22×C13—21no—
913C22×C13—21no—
914C22×C13—21no—
915C22×C13—21no—
916C22×C13—22no—
917C22×C13—21no—
918C22×C13—24no—
919C22×C13—24no—
920C22×C13—24no—
921C22×C13—21no—
922C22×C13—24no—
923C22×C13—24no—
924C22×C13—22no—
925C22×C13—24no—
926C22×C13—24no—
927C22×C13—24no—
928C22×C13—21no—
929C22×C13—24no—
930C22×C13—22no—
931C22×C13—44no—
932C22×C13—88no—
933C22×C13—82no—
934C22×C13—88no—
935C22×C13C2×H(5,𝔽2)12yes—
936C22×C13#58512yes—
937C22×C13C2611yescharacteristic
938C4×C13—21no—
939C4×C13—22no—
940C4×C13—21no—
941C4×C13—24no—
942C4×C13—24no—
943C4×C13—24no—
944C4×C13—24no—
945C4×C13—24no—
946C4×C13—24no—
947C4×C13—22no—
948C4×C13—24no—
949C4×C13—21no—
950C4×C13—24no—
951C4×C13—24no—
952C4×C13—21no—
953C4×C13C2×H(5,𝔽2)14yes—
9542−1+4—48no—
955C2×#41—48no—
956C2×#41—48no—
957C2×#41C23×C1312yes—
958C2×#41C23×C1312yes—
959C2×#41C23×C1312yes—
960C2×#41C23×C1314yes—
961C2×#41C23×C1314yes—
962C2×#41C23×C1312yes—
963C2×#41C23×C1312yes—
964C2×#41C23×C1314yes—
965C2×#41C23×C1314yes—
966C2×#41C23×C1314yes—
967C2×#41C23×C1314yes—
968C2×#41C23×C1318yes—
969C2×#41C23×C1314yes—
970C2×#41C23×C1312yes—
971C2×#41C23×C1312yes—
972C22×Q8C23×C1311yescharacteristic
973C22×Q8C23×C1312yes—
974C22×Q8C23×C1314yes—
975C22×Q8C23×C1314yes—
976C22×Q8C23×C1312yes—
977C22×D4C23×C1311yescharacteristic
978C22×D4C23×C1314yes—
979C22×D4C23×C1314yes—
980C22×D4C23×C1314yes—
981C22×D4C23×C1312yes—
982C22×D4C23×C1314yes—
983C22×D4C23×C1312yes—
984C23×C4C23×C1311yescharacteristic
985C23×C4C23×C1311yescharacteristic
986C23×C4C23×C1312yes—
987C23×C4C23×C1314yes—
988C23×C4C23×C1314yes—
989C4⋊Q8C23×C1314yes—
990C4⋊Q8C23×C1312yes—
991C4⋊Q8C23×C1314yes—
992C4⋊Q8C23×C1314yes—
993C4⋊Q8C23×C1314yes—
994C4⋊Q8C23×C1314yes—
995C4⋊Q8C23×C1318yes—
996C4⋊Q8C23×C1318yes—
997#127C23×C1314yes—
998#127C23×C1314yes—
999#127C23×C1314yes—
1000#127C23×C1312yes—
1001#126C23×C1318yes—
1002#126C23×C1318yes—
1003#126C23×C1318yes—
1004#126C23×C1318yes—
1005#126C23×C1318yes—
1006#126C23×C1318yes—
1007#126C23×C1318yes—
1008#126C23×C1318yes—
1009#126C23×C1318yes—
1010#126C23×C1318yes—
1011#126C23×C1318yes—
1012#125C23×C1314yes—
1013#125C23×C1318yes—
1014#125C23×C1314yes—
1015#125C23×C1318yes—
1016#125C23×C1314yes—
1017#125C23×C1314yes—
1018#125C23×C1314yes—
1019#125C23×C1318yes—
1020#125C23×C1318yes—
1021#125C23×C1318yes—
1022#125C23×C1318yes—
1023#124C23×C1312yes—
1024#124C23×C1312yes—
1025#124C23×C1314yes—
1026#124C23×C1314yes—
1027#124C23×C1314yes—
1028#124C23×C1318yes—
1029#124C23×C1318yes—
1030#124C23×C1314yes—
1031#124C23×C1314yes—
1032#124C23×C1318yes—
1033#124C23×C1318yes—
1034#124C23×C1318yes—
1035#123C23×C1318yes—
1036#123C23×C1318yes—
1037#123C23×C1314yes—
1038#123C23×C1314yes—
1039#123C23×C1314yes—
1040#123C23×C1318yes—
1041#123C23×C1318yes—
1042#123C23×C1318yes—
1043#123C23×C1314yes—
1044#123C23×C1314yes—
1045#123C23×C1318yes—
1046#123C23×C1318yes—
1047#123C23×C1314yes—
1048#123C23×C1318yes—
1049#123C23×C1318yes—
1050#123C23×C1318yes—
1051#123C23×C1318yes—
1052#123C23×C1318yes—
1053#123C23×C1318yes—
1054#123C23×C1318yes—
1055#123C23×C1318yes—
1056#123C23×C1318yes—
1057#123C23×C1318yes—
1058#123C23×C1318yes—
1059#123C23×C1318yes—
1060C22⋊Q8C23×C1312yes—
1061C22⋊Q8C23×C1314yes—
1062C22⋊Q8C23×C1312yes—
1063C22⋊Q8C23×C1314yes—
1064C22⋊Q8C23×C1314yes—
1065C22⋊Q8C23×C1314yes—
1066C22⋊Q8C23×C1314yes—
1067C22⋊Q8C23×C1314yes—
1068C22⋊Q8C23×C1314yes—
1069C22⋊Q8C23×C1314yes—
1070C22⋊Q8C23×C1314yes—
1071C22⋊Q8C23×C1318yes—
1072C22⋊Q8C23×C1314yes—
1073C22⋊Q8C23×C1314yes—
1074C22⋊Q8C23×C1318yes—
1075C22⋊Q8C23×C1318yes—
1076C22⋊Q8C23×C1318yes—
1077C22⋊Q8C23×C1318yes—
1078C22⋊Q8C23×C1318yes—
1079C22⋊Q8C23×C1314yes—
1080C22⋊Q8C23×C1314yes—
1081C22⋊Q8C23×C1314yes—
1082C22⋊Q8C23×C1312yes—
1083C22⋊Q8C23×C1312yes—
1084C22⋊Q8C23×C1314yes—
1085C22⋊Q8C23×C1314yes—
1086C22⋊Q8C23×C1314yes—
1087C22⋊Q8C23×C1314yes—
1088C22⋊Q8C23×C1314yes—
1089C22⋊Q8C23×C1318yes—
1090C22⋊Q8C23×C1318yes—
1091C22⋊Q8C23×C1318yes—
1092C22⋊Q8C23×C1318yes—
1093C22⋊Q8C23×C1318yes—
1094C22⋊Q8C23×C1318yes—
1095#121C23×C1314yes—
1096#121C23×C1314yes—
1097#121C23×C1314yes—
1098#121C23×C1314yes—
1099#121C23×C1318yes—
1100#121C23×C1314yes—
1101#121C23×C1314yes—
1102#121C23×C1318yes—
1103#121C23×C1314yes—
1104#121C23×C1314yes—
1105#121C23×C1318yes—
1106#121C23×C1318yes—
1107#121C23×C1314yes—
1108#121C23×C1314yes—
1109#121C23×C1312yes—
1110#121C23×C1312yes—
1111#121C23×C1314yes—
1112#121C23×C1314yes—
1113#121C23×C1314yes—
1114#121C23×C1314yes—
1115#121C23×C1312yes—
1116#121C23×C1312yes—
1117#121C23×C1314yes—
1118#121C23×C1314yes—
1119#121C23×C1314yes—
1120#121C23×C1314yes—
1121#121C23×C1318yes—
1122#121C23×C1314yes—
1123#121C23×C1314yes—
1124#121C23×C1314yes—
1125#121C23×C1314yes—
1126#121C23×C1314yes—
1127#121C23×C1318yes—
1128#121C23×C1318yes—
1129#121C23×C1318yes—
1130#121C23×C1318yes—
1131#121C23×C1318yes—
1132#121C23×C1318yes—
1133#121C23×C1318yes—
1134#121C23×C1318yes—
1135#121C23×C1318yes—
1136#121C23×C1318yes—
1137#121C23×C1318yes—
1138#120C23×C1314yes—
1139#120C23×C1314yes—
1140#120C23×C1314yes—
1141#120C23×C1318yes—
1142#120C23×C1318yes—
1143#120C23×C1318yes—
1144#120C23×C1318yes—
1145#120C23×C1314yes—
1146#120C23×C1314yes—
1147#120C23×C1314yes—
1148C4×Q8C23×C1314yes—
1149C4×Q8C23×C1314yes—
1150C4×Q8C23×C1312yes—
1151C4×Q8C23×C1312yes—
1152C4×Q8C23×C1314yes—
1153C4×Q8C23×C1314yes—
1154C4×Q8C23×C1314yes—
1155C4×Q8C23×C1314yes—
1156C4×D4C23×C1312yes—
1157C4×D4C23×C1312yes—
1158C4×D4C23×C1312yes—
1159C4×D4C23×C1312yes—
1160C4×D4C23×C1314yes—
1161C4×D4C23×C1314yes—
1162C4×D4C23×C1314yes—
1163C4×D4C23×C1314yes—
1164C4×D4C23×C1314yes—
1165C4×D4C23×C1314yes—
1166C4×D4C23×C1314yes—
1167C4×D4C23×C1312yes—
1168C4×D4C23×C1314yes—
1169C4×D4C23×C1314yes—
1170C4×D4C23×C1312yes—
1171C4×D4C23×C1314yes—
1172C4×D4C23×C1318yes—
1173C4×D4C23×C1314yes—
1174C4×D4C23×C1318yes—
1175C4×D4C23×C1314yes—
1176C4×D4C23×C1314yes—
1177C4×D4C23×C1314yes—
1178C4×D4C23×C1318yes—
1179C4×D4C23×C1318yes—
1180C4×D4C23×C1318yes—
1181C4×D4C23×C1314yes—
1182C4×D4C23×C1314yes—
1183C4×D4C23×C1314yes—
1184C4×D4C23×C1314yes—
1185C4×D4C23×C1314yes—
1186C4×D4C23×C1314yes—
1187C4×D4C23×C1318yes—
1188C4×D4C23×C1318yes—
1189C4×D4C23×C1318yes—
1190C4×D4C23×C1318yes—
1191C4×D4C23×C1318yes—
1192C4×D4C23×C1318yes—
1193#117C23×C1314yes—
1194#117C23×C1314yes—
1195#117C23×C1314yes—
1196#117C23×C1314yes—
1197#117C23×C1314yes—
1198#117C23×C1314yes—
1199#117C23×C1312yes—
1200#117C23×C1314yes—
1201#117C23×C1314yes—
1202#117C23×C1314yes—
1203#117C23×C1314yes—
1204#117C23×C1318yes—
1205#117C23×C1318yes—
1206#117C23×C1318yes—
1207#117C23×C1318yes—
1208C2×C4⋊C4C23×C1311yescharacteristic
1209C2×C4⋊C4C23×C1311yescharacteristic
1210C2×C4⋊C4C23×C1314yes—
1211C2×C4⋊C4C23×C1312yes—
1212C2×C4⋊C4C23×C1314yes—
1213C2×C4⋊C4C23×C1311yescharacteristic
1214C2×C4⋊C4C23×C1312yes—
1215C2×C4⋊C4C23×C1312yes—
1216C2×C4⋊C4C23×C1311yescharacteristic
1217C2×C4⋊C4C23×C1314yes—
1218C2×C4⋊C4C23×C1312yes—
1219C2×C4⋊C4C23×C1314yes—
1220C2×C4⋊C4C23×C1314yes—
1221C2×C4⋊C4C23×C1314yes—
1222C2×C4⋊C4C23×C1318yes—
1223C2×C4⋊C4C23×C1312yes—
1224C2×C4⋊C4C23×C1318yes—
1225C2×C4⋊C4C23×C1312yes—
1226C2×C22⋊C4C23×C1311yescharacteristic
1227C2×C22⋊C4C23×C1312yes—
1228C2×C22⋊C4C23×C1312yes—
1229C2×C22⋊C4C23×C1311yescharacteristic
1230C2×C22⋊C4C23×C1314yes—
1231C2×C22⋊C4C23×C1314yes—
1232C2×C22⋊C4C23×C1318yes—
1233C2×C22⋊C4C23×C1318yes—
1234C2×C22⋊C4C23×C1312yes—
1235C2×C22⋊C4C23×C1318yes—
1236C2×C42C23×C1312yes—
1237C2×C42C23×C1312yes—
1238C2×C42C23×C1311yescharacteristic
1239C2×C42C23×C1314yes—
1240C2×C13—22no—
1241C2×C13—22no—
1242C2×C13—41no—
1243C2×C13—44no—
1244C2×C13—44no—
1245C2×C13—44no—
1246C2×C13—42no—
1247C2×C13C22×H(5,𝔽2)11yescharacteristic
1248C2×C13C2×#58511yescharacteristic
1249C2×C132−1+611yescharacteristic
1250C24C24×C1311yescharacteristic
1251C24C24×C1311yescharacteristic
1252C24C24×C1314yes—
1253C24C24×C1314yes—
1254#41—28no—
1255#41—28no—
1256#41—28no—
1257#41—48no—
1258#41—48no—
1259#41—48no—
1260#41—48no—
1261#41—416no—
1262#41—48no—
1263#41—44no—
1264#41—44no—
1265#41—44no—
1266#41—44no—
1267#41—48no—
1268#41—48no—
1269C2×Q8—24no—
1270C2×Q8—44no—
1271C2×Q8—44no—
1272C2×Q8—48no—
1273C2×Q8—48no—
1274C2×Q8C24×C1314yes—
1275C2×Q8C24×C1312yes—
1276C2×Q8C24×C1312yes—
1277C2×Q8C24×C1312yes—
1278C2×Q8C24×C1314yes—
1279C2×Q8C24×C1314yes—
1280C2×Q8C24×C1318yes—
1281C2×Q8C24×C1314yes—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—48no—
1285C2×D4—48no—
1286C2×D4—48no—
1287C2×D4—42no—
1288C2×D4—48no—
1289C2×D4C24×C1314yes—
1290C2×D4C24×C1312yes—
1291C2×D4C24×C1314yes—
1292C2×D4C24×C1314yes—
1293C2×D4C24×C1314yes—
1294C2×D4C24×C1312yes—
1295C2×D4C24×C1312yes—
1296C2×D4C24×C1312yes—
1297C2×D4C24×C1314yes—
1298C2×D4C24×C1318yes—
1299C2×D4C24×C1314yes—
1300C2×D4C24×C1314yes—
1301C2×D4C24×C1314yes—
1302C2×D4C24×C1314yes—
1303C2×D4C24×C1314yes—
1304C2×D4C24×C1312yes—
1305C2×D4C24×C1318yes—
1306C2×D4C24×C1314yes—
1307C2×D4C24×C1314yes—
1308C2×D4C24×C1314yes—
1309C2×D4C24×C1318yes—
1310C2×D4C24×C1314yes—
1311C2×D4C24×C1314yes—
1312C2×D4C24×C1314yes—
1313C2×D4C24×C1314yes—
1314C2×D4C24×C1314yes—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—48no—
1318C22×C4—48no—
1319C22×C4—44no—
1320C22×C4C24×C1311yescharacteristic
1321C22×C4C24×C1312yes—
1322C22×C4C24×C1314yes—
1323C22×C4C24×C1314yes—
1324C22×C4C24×C1311yescharacteristic
1325C22×C4C24×C1312yes—
1326C22×C4C24×C1312yes—
1327C22×C4C24×C1314yes—
1328C22×C4C24×C1314yes—
1329C22×C4C24×C1312yes—
1330C22×C4C24×C1312yes—
1331C22×C4C24×C1311yescharacteristic
1332C22×C4C24×C1312yes—
1333C22×C4C24×C1312yes—
1334C22×C4C24×C1314yes—
1335C22×C4C24×C1311yescharacteristic
1336C22×C4C24×C1314yes—
1337C22×C4C24×C1314yes—
1338C22×C4C24×C1312yes—
1339C22×C4C24×C1318yes—
1340C22×C4C24×C1318yes—
1341C22×C4C24×C1314yes—
1342C22×C4C24×C1318yes—
1343C22×C4C24×C1318yes—
1344C22×C4C24×C1314yes—
1345C22×C4C24×C1314yes—
1346C22×C4C24×C1314yes—
1347C22×C4C24×C1314yes—
1348C22×C4C24×C1314yes—
1349C22×C4C24×C1311yescharacteristic
1350C4⋊C4C24×C1314yes—
1351C4⋊C4C24×C1314yes—
1352C4⋊C4C24×C1314yes—
1353C4⋊C4C24×C1312yes—
1354C4⋊C4C24×C1314yes—
1355C4⋊C4C24×C1318yes—
1356C4⋊C4C24×C1314yes—
1357C4⋊C4C24×C1312yes—
1358C4⋊C4C24×C1312yes—
1359C4⋊C4C24×C1318yes—
1360C4⋊C4C24×C1318yes—
1361C4⋊C4C24×C1314yes—
1362C4⋊C4C24×C1314yes—
1363C4⋊C4C24×C1314yes—
1364C4⋊C4C24×C1314yes—
1365C4⋊C4C24×C1318yes—
1366C4⋊C4C24×C1318yes—
1367C4⋊C4C24×C1318yes—
1368C4⋊C4C24×C1314yes—
1369C4⋊C4C24×C1312yes—
1370C4⋊C4C24×C1314yes—
1371C4⋊C4C24×C1314yes—
1372C4⋊C4C24×C1314yes—
1373C4⋊C4C24×C1318yes—
1374C4⋊C4C24×C1318yes—
1375C4⋊C4C24×C1318yes—
1376C4⋊C4C24×C1318yes—
1377C4⋊C4C24×C1314yes—
1378C4⋊C4C24×C1318yes—
1379C4⋊C4C24×C1314yes—
1380C4⋊C4C24×C1314yes—
1381C4⋊C4C24×C1314yes—
1382C4⋊C4C24×C1314yes—
1383C4⋊C4C24×C1314yes—
1384C22⋊C4C24×C1311yescharacteristic
1385C22⋊C4C24×C1314yes—
1386C22⋊C4C24×C1314yes—
1387C22⋊C4C24×C1312yes—
1388C22⋊C4C24×C1318yes—
1389C22⋊C4C24×C1314yes—
1390C22⋊C4C24×C1318yes—
1391C22⋊C4C24×C1311yescharacteristic
1392C22⋊C4C24×C1311yescharacteristic
1393C22⋊C4C24×C1311yescharacteristic
1394C22⋊C4C24×C1314yes—
1395C22⋊C4C24×C1318yes—
1396C22⋊C4C24×C1314yes—
1397C22⋊C4C24×C1318yes—
1398C22⋊C4C24×C1318yes—
1399C22⋊C4C24×C1318yes—
1400C22⋊C4C24×C1318yes—
1401C22⋊C4C24×C1314yes—
1402C22⋊C4C24×C1314yes—
1403C22⋊C4C24×C1312yes—
1404C22⋊C4C24×C1314yes—
1405C22⋊C4C24×C1318yes—
1406C22⋊C4C24×C1318yes—
1407C22⋊C4C24×C1314yes—
1408C22⋊C4C24×C1314yes—
1409C22⋊C4C24×C1314yes—
1410C22⋊C4C24×C1314yes—
1411C22⋊C4C24×C1314yes—
1412C22⋊C4C24×C1314yes—
1413C22⋊C4C24×C1318yes—
1414C22⋊C4C24×C1318yes—
1415C22⋊C4C24×C1318yes—
1416C22⋊C4C24×C1314yes—
1417C22⋊C4C24×C1318yes—
1418C22⋊C4C24×C1314yes—
1419C22⋊C4C24×C1314yes—
1420C42C24×C1312yes—
1421C42C24×C1314yes—
1422C42C24×C1314yes—
1423C42C24×C1314yes—
1424C42C24×C1314yes—
1425C42C24×C1314yes—
1426C42C24×C1312yes—
1427C42C24×C1314yes—
1428C42C24×C1314yes—
1429C42C24×C1318yes—
1430C42C24×C1318yes—
1431C13#6292711yescharacteristic, direct product factor, Sylow
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—28no—
1436C23—41no—
1437C23—44no—
1438C23—44no—
1439C23—41no—
1440C23—44no—
1441C23—41no—
1442C23—44no—
1443C23—44no—
1444C23C25×C1312yes—
1445C23C25×C1314yes—
1446C23C25×C1311yescharacteristic
1447C23C25×C1314yes—
1448C23C25×C1314yes—
1449C23C25×C1311yescharacteristic
1450C23C25×C1311yescharacteristic
1451Q8—28no—
1452Q8—24no—
1453Q8—24no—
1454Q8—24no—
1455Q8—48no—
1456Q8—44no—
1457Q8—44no—
1458Q8—44no—
1459D4—28no—
1460D4—28no—
1461D4—28no—
1462D4—24no—
1463D4—28no—
1464D4—24no—
1465D4—24no—
1466D4—24no—
1467D4—48no—
1468D4—44no—
1469D4—44no—
1470D4—42no—
1471D4—44no—
1472D4—44no—
1473D4—44no—
1474D4—44no—
1475D4—44no—
1476D4—44no—
1477D4—44no—
1478D4—44no—
1479D4—44no—
1480D4—48no—
1481D4—44no—
1482D4—44no—
1483D4—44no—
1484D4—48no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—28no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—28no—
1494C2×C4—28no—
1495C2×C4—28no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—42no—
1499C2×C4—44no—
1500C2×C4—42no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—41no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—41no—
1509C2×C4—42no—
1510C2×C4—48no—
1511C2×C4—48no—
1512C2×C4—48no—
1513C2×C4—48no—
1514C2×C4C13×H(5,𝔽2)14yes—
1515C2×C4C25×C1311yescharacteristic
1516C2×C4C25×C1311yescharacteristic
1517C2×C4C25×C1314yes—
1518C2×C4C25×C1314yes—
1519C2×C4C25×C1314yes—
1520C2×C4C25×C1314yes—
1521C2×C4C25×C1312yes—
1522C2×C4C25×C1311yescharacteristic
1523C2×C4C25×C1311yescharacteristic
1524C2×C4C25×C1314yes—
1525C2×C4C25×C1314yes—
1526C2×C4C25×C1314yes—
1527C2×C4C25×C1314yes—
1528C2×C4C25×C1314yes—
1529C2×C4C25×C1312yes—
1530C2×C4C25×C1312yes—
1531C22—21no—
1532C22—21no—
1533C22—21no—
1534C22—21no—
1535C22—22no—
1536C22—21no—
1537C22—24no—
1538C22—24no—
1539C22—24no—
1540C22—21no—
1541C22—24no—
1542C22—24no—
1543C22—22no—
1544C22—24no—
1545C22—24no—
1546C22—24no—
1547C22—21no—
1548C22—24no—
1549C22—22no—
1550C22—44no—
1551C22—88no—
1552C22—82no—
1553C22—88no—
1554C22C2×C13×H(5,𝔽2)12yes—
1555C22C13×#58512yes—
1556C22C26×C1311yescharacteristic
1557C4—21no—
1558C4—22no—
1559C4—21no—
1560C4—24no—
1561C4—24no—
1562C4—24no—
1563C4—24no—
1564C4—24no—
1565C4—24no—
1566C4—22no—
1567C4—24no—
1568C4—21no—
1569C4—24no—
1570C4—24no—
1571C4—21no—
1572C4C2×C13×H(5,𝔽2)14yes—
1573C2—22no—
1574C2—22no—
1575C2—41no—
1576C2—42no—
1577C2—44no—
1578C2—44no—
1579C2—44no—
1580C2C22×C13×H(5,𝔽2)11yescharacteristic
1581C2C2×C13×#58511yescharacteristic
1582C2C13×2−1+611yescharacteristic
subgroupG/H
center, socleC22×C13C26
commutator, Frattini, cosocleC22C26×C13
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#3560C2semidirect
2. C13×#3559C2semidirect
3. C13×#3551C2semidirect
4. C13×#3547C2semidirect
5. C13×#3542C2semidirect
6. C13×#3541C2semidirect
7. C13×#3539C2semidirect
8. C13×#3538C2semidirect
9. C13×#3534C2semidirect
10. C13×#3520C2semidirect
11. C13×#3512C2semidirect
12. C13×#3505C2semidirect
13. C13×#3497C2semidirect
14. C13×#3494C2semidirect
15. C13×#3493C2semidirect
16. C13×#3492C2semidirect
17. C13×#3489C2semidirect
18. C13×#3489C2semidirect
19. C2×C13×#552C2semidirect
20. D4×C13×#41C2semidirect
21. C13×#3461C2semidirect
22. C13×#3449C2semidirect
23. C2×C13×#537C2semidirect
24. C2×C13×2−1+4C22semidirect
25. C22×C13×#41C22semidirect
26. C22×C13×#41C22semidirect
27. C13×#563C22semidirect
28. C13×#563C22semidirect
29. C13×#562C22semidirect
30. C13×#562C22semidirect
31. C13×#560C22semidirect
32. C13×#560C22semidirect
33. C13×#556C22semidirect
34. C13×#555C22semidirect
35. C13×#555C22semidirect
36. C13×#554C22semidirect
37. C13×#554C22semidirect
38. C13×#553C22semidirect
39. C13×#553C22semidirect
40. C13×#553C22semidirect
41. C13×#553C22semidirect
42. C13×#553C22semidirect
43. C13×#553C22semidirect
44. C13×#553C22semidirect
45. C13×#553C22semidirect
46. C13×#553C22semidirect
47. C13×#552C22semidirect
48. C13×#552C22semidirect
49. C13×#552C22semidirect
50. C13×#552C22semidirect
51. C13×#552C22semidirect
52. C13×#552C22semidirect
53. C13×#552C22semidirect
54. C13×#552C22semidirect
55. C13×#551C22semidirect
56. C13×#551C22semidirect
57. C13×#551C22semidirect
58. C13×#551C22semidirect
59. C13×#550C22semidirect
60. C13×#550C22semidirect
61. D4×Q8×C13C22semidirect
62. D4×Q8×C13C22semidirect
63. D4×Q8×C13C22semidirect
64. D4×Q8×C13C22semidirect
66. C13×#548C22semidirect
67. C13×#548C22semidirect
68. C13×#548C22semidirect
69. C13×#548C22semidirect
70. C13×#548C22semidirect
71. C13×#547C22semidirect
72. C13×#547C22semidirect
73. C13×#547C22semidirect
74. C13×#547C22semidirect
75. C13×#547C22semidirect
76. C13×#547C22semidirect
77. C13×#547C22semidirect
79. C13×#546C22semidirect
80. C13×#546C22semidirect
81. C13×#546C22semidirect
82. C13×#546C22semidirect
83. C13×#546C22semidirect
84. C13×#546C22semidirect
85. C13×#546C22semidirect
86. C13×#546C22semidirect
88. D42×C13C22semidirect
89. C13×#544C22semidirect
90. C13×#544C22semidirect
91. C13×#544C22semidirect
92. C13×#542C22semidirect
93. C13×#542C22semidirect
94. C13×#542C22semidirect
95. C13×#542C22semidirect
96. C13×#541C22semidirect
97. C13×#541C22semidirect
98. C13×#540C22semidirect
99. C13×#540C22semidirect
100. C13×#540C22semidirect
101. C13×#540C22semidirect
102. C13×#540C22semidirect
103. C13×#539C22semidirect
104. C13×#539C22semidirect
105. C13×#539C22semidirect
106. C13×#539C22semidirect
107. C13×#539C22semidirect
108. C13×#539C22semidirect
109. C13×#538C22semidirect
110. C13×#538C22semidirect
111. C13×#538C22semidirect
112. C13×#538C22semidirect
114. C13×#537C22semidirect
115. C13×#537C22semidirect
116. C13×#537C22semidirect
117. C13×#537C22semidirect
118. C13×#537C22semidirect
119. C13×#537C22semidirect
120. C13×#537C22semidirect
121. C13×#537C22semidirect
122. C13×#537C22semidirect
123. C13×#537C22semidirect
124. C13×#536C22semidirect
125. C13×#536C22semidirect
126. C13×#536C22semidirect
127. C13×#536C22semidirect
128. C13×#535C22semidirect
129. C13×#535C22semidirect
130. C13×#534C22semidirect
131. C13×#534C22semidirect
132. C13×#533C22semidirect
133. C13×#532C22semidirect
134. C13×#532C22semidirect
135. C13×#532C22semidirect
136. C13×#532C22semidirect
137. C13×#529C22semidirect
138. C13×#529C22semidirect
139. C13×#529C22semidirect
140. C13×#529C22semidirect
141. C13×#529C22semidirect
142. C2×C13×#126C22semidirect
143. C2×C13×#125C22semidirect
144. C2×C13×#125C22semidirect
146. C13×#525C22semidirect
147. C13×#525C22semidirect
148. C13×#525C22semidirect
149. C13×#525C22semidirect
150. C13×#525C22semidirect
151. C13×#525C22semidirect
152. C13×#525C22semidirect
153. C13×#525C22semidirect
155. C2×C13×C22⋊Q8C22semidirect
156. C2×C13×C22⋊Q8C22semidirect
157. C2×C13×C22⋊Q8C22semidirect
158. C2×C13×C22⋊Q8C22semidirect
159. C2×C13×C22⋊Q8C22semidirect
160. C2×C13×#121C22semidirect
161. C2×C13×#121C22semidirect
162. C13×#520C22semidirect
163. C13×#520C22semidirect
164. C13×#520C22semidirect
165. C13×#518C22semidirect
166. C4×C13×#41C22semidirect
167. C2×C4×Q8×C13C22semidirect
169. C2×C4×D4×C13C22semidirect
170. C2×C13×#117C22semidirect
171. C2×C13×#117C22semidirect
172. C22×C13×C4⋊C4C22semidirect
459. #62927C13direct (N × H)
641. #3560C2×C13semidirect
642. #3559C2×C13semidirect
643. #3551C2×C13semidirect
644. #3547C2×C13semidirect
645. #3542C2×C13semidirect
646. #3541C2×C13semidirect
647. #3539C2×C13semidirect
648. #3538C2×C13semidirect
649. #3534C2×C13semidirect
650. #3520C2×C13semidirect
651. #3512C2×C13semidirect
652. #3505C2×C13semidirect
653. #3497C2×C13semidirect
654. #3494C2×C13semidirect
655. #3493C2×C13semidirect
656. #3492C2×C13semidirect
657. #3489C2×C13semidirect
658. #3489C2×C13semidirect
659. C2×#552C2×C13semidirect
660. D4×#41C2×C13semidirect
661. #3461C2×C13semidirect
662. #3449C2×C13semidirect
663. C2×#537C2×C13semidirect
763. C2×2−1+4C22×C13semidirect
764. C22×#41C22×C13semidirect
765. C22×#41C22×C13semidirect
766. #563C22×C13semidirect
767. #563C22×C13semidirect
768. #562C22×C13semidirect
769. #562C22×C13semidirect
770. #560C22×C13semidirect
771. #560C22×C13semidirect
772. #556C22×C13semidirect
773. #555C22×C13semidirect
774. #555C22×C13semidirect
775. #554C22×C13semidirect
776. #554C22×C13semidirect
777. #553C22×C13semidirect
778. #553C22×C13semidirect
779. #553C22×C13semidirect
780. #553C22×C13semidirect
781. #553C22×C13semidirect
782. #553C22×C13semidirect
783. #553C22×C13semidirect
784. #553C22×C13semidirect
785. #553C22×C13semidirect
786. #552C22×C13semidirect
787. #552C22×C13semidirect
788. #552C22×C13semidirect
789. #552C22×C13semidirect
790. #552C22×C13semidirect
791. #552C22×C13semidirect
792. #552C22×C13semidirect
793. #552C22×C13semidirect
794. #551C22×C13semidirect
795. #551C22×C13semidirect
796. #551C22×C13semidirect
797. #551C22×C13semidirect
798. #550C22×C13semidirect
799. #550C22×C13semidirect
800. D4×Q8C22×C13semidirect
801. D4×Q8C22×C13semidirect
802. D4×Q8C22×C13semidirect
803. D4×Q8C22×C13semidirect
805. #548C22×C13semidirect
806. #548C22×C13semidirect
807. #548C22×C13semidirect
808. #548C22×C13semidirect
809. #548C22×C13semidirect
810. #547C22×C13semidirect
811. #547C22×C13semidirect
812. #547C22×C13semidirect
813. #547C22×C13semidirect
814. #547C22×C13semidirect
815. #547C22×C13semidirect
816. #547C22×C13semidirect
818. #546C22×C13semidirect
819. #546C22×C13semidirect
820. #546C22×C13semidirect
821. #546C22×C13semidirect
822. #546C22×C13semidirect
823. #546C22×C13semidirect
824. #546C22×C13semidirect
825. #546C22×C13semidirect
827. D42C22×C13semidirect
828. #544C22×C13semidirect
829. #544C22×C13semidirect
830. #544C22×C13semidirect
831. #542C22×C13semidirect
832. #542C22×C13semidirect
833. #542C22×C13semidirect
834. #542C22×C13semidirect
835. #541C22×C13semidirect
836. #541C22×C13semidirect
837. #540C22×C13semidirect
838. #540C22×C13semidirect
839. #540C22×C13semidirect
840. #540C22×C13semidirect
841. #540C22×C13semidirect
842. #539C22×C13semidirect
843. #539C22×C13semidirect
844. #539C22×C13semidirect
845. #539C22×C13semidirect
846. #539C22×C13semidirect
847. #539C22×C13semidirect
848. #538C22×C13semidirect
849. #538C22×C13semidirect
850. #538C22×C13semidirect
851. #538C22×C13semidirect
853. #537C22×C13semidirect
854. #537C22×C13semidirect
855. #537C22×C13semidirect
856. #537C22×C13semidirect
857. #537C22×C13semidirect
858. #537C22×C13semidirect
859. #537C22×C13semidirect
860. #537C22×C13semidirect
861. #537C22×C13semidirect
862. #537C22×C13semidirect
863. #536C22×C13semidirect
864. #536C22×C13semidirect
865. #536C22×C13semidirect
866. #536C22×C13semidirect
867. #535C22×C13semidirect
868. #535C22×C13semidirect
869. #534C22×C13semidirect
870. #534C22×C13semidirect
871. #533C22×C13semidirect
872. #532C22×C13semidirect
873. #532C22×C13semidirect
874. #532C22×C13semidirect
875. #532C22×C13semidirect
876. #529C22×C13semidirect
877. #529C22×C13semidirect
878. #529C22×C13semidirect
879. #529C22×C13semidirect
880. #529C22×C13semidirect
881. C2×#126C22×C13semidirect
882. C2×#125C22×C13semidirect
883. C2×#125C22×C13semidirect
885. #525C22×C13semidirect
886. #525C22×C13semidirect
887. #525C22×C13semidirect
888. #525C22×C13semidirect
889. #525C22×C13semidirect
890. #525C22×C13semidirect
891. #525C22×C13semidirect
892. #525C22×C13semidirect
894. C2×C22⋊Q8C22×C13semidirect
895. C2×C22⋊Q8C22×C13semidirect
896. C2×C22⋊Q8C22×C13semidirect
897. C2×C22⋊Q8C22×C13semidirect
898. C2×C22⋊Q8C22×C13semidirect
899. C2×#121C22×C13semidirect
900. C2×#121C22×C13semidirect
901. #520C22×C13semidirect
902. #520C22×C13semidirect
903. #520C22×C13semidirect
904. #518C22×C13semidirect
905. C4×#41C22×C13semidirect
906. C2×C4×Q8C22×C13semidirect
908. C2×C4×D4C22×C13semidirect
909. C2×#117C22×C13semidirect
910. C2×#117C22×C13semidirect
911. C22×C4⋊C4C22×C13semidirect
1431. C13#62927direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35602
C13×#35592
C13×#35512
C13×#35472
C13×#35422
C13×#35412
C13×#35392
C13×#35382
C13×#35342
C13×#35202
C13×#35122
C13×#35052
C13×#34972
C13×#34942
C13×#34932
C13×#34922
C13×#34892
C2×C13×#5522
D4×C13×#412
C13×#34612
C13×#34492
C2×C13×#5372
#6292713