Finite Group Databasebeta

← C13×#63055 #15749394

Subgroups — C13×#63055 #15749394

Order 3328.

6730 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3567C212yesmaximal, complemented
2C13×#3566C214yesmaximal, complemented
3C13×#3566C214yesmaximal, complemented
4C13×#3562C214yesmaximal, complemented
5C13×#3558C212yesmaximal, complemented
6C13×#3558C212yesmaximal, complemented
7C13×#3553C211yesmaximal, characteristic, complemented
8C13×#3545C212yesmaximal, complemented
9C13×#3542C214yesmaximal, complemented
10C13×#3541C214yesmaximal, complemented
11C13×#3537C214yesmaximal, complemented
12C13×#3534C214yesmaximal, complemented
13C13×#3534C214yesmaximal, complemented
14C13×#3533C214yesmaximal, complemented
15C13×#3529C212yesmaximal, complemented
16C2×C13×#562C211yesmaximal, characteristic, complemented
17C13×#3519C214yesmaximal, complemented
18C13×#3514C212yesmaximal, complemented
19C13×#3513C214yesmaximal, complemented
20C13×#3512C211yesmaximal, characteristic, complemented
21C13×#3505C214yesmaximal, complemented
22C13×#564C2211yescharacteristic, complemented
23C13×#563C2214yescomplemented
24C13×#563C2212yescomplemented
25C13×#563C2214yescomplemented
26C13×#562C2211yescharacteristic, complemented
27C13×#562C2214yescomplemented
28C13×#562C2214yescomplemented
29C13×#562C2214yescomplemented
30C13×#562C2211yescharacteristic, complemented
31C13×#562C2212yescomplemented
32C13×#562C2214yescomplemented
33C13×#562C2214yescomplemented
34C13×#562C2212yescomplemented
35C13×#562C2214yescomplemented
36C13×#562C2214yescomplemented
37C13×#562C2212yescomplemented
38C13×#562C2211yescharacteristic, complemented
39C13×H(3,𝔽4)C2212yescomplemented
40C13×H(3,𝔽4)C2212yescomplemented
41C13×#560C2214yescomplemented
42C13×#560C2214yescomplemented
43C13×#560C2214yescomplemented
44C13×#560C2214yescomplemented
45C13×#560C2214yescomplemented
46C13×#560C2214yescomplemented
47C13×#559C2212yescomplemented
48C13×#559C2214yescomplemented
49C13×#559C2214yescomplemented
50C13×#556C2214yescomplemented
51C13×#556C2212yescomplemented
52C13×#555C2214yescomplemented
53C13×#555C2214yescomplemented
54C13×#554C2214yescomplemented
55C13×#554C2214yescomplemented
56C13×#553C2214yescomplemented
57C13×#553C2214yescomplemented
58C13×#553C2214yescomplemented
59C13×#553C2214yescomplemented
60C13×#553C2214yescomplemented
61C13×#553C2214yescomplemented
62C13×#553C2214yescomplemented
63C13×#553C2214yescomplemented
64C13×#553C2214yescomplemented
65C13×#553C2214yescomplemented
66C13×#553C2214yescomplemented
67C13×#553C2214yescomplemented
68C13×#553C2214yescomplemented
69C13×#553C2214yescomplemented
70C13×#552C2214yescomplemented
71C13×#552C2214yescomplemented
72C13×#552C2214yescomplemented
73C13×#552C2214yescomplemented
74C13×#552C2214yescomplemented
75C13×#552C2214yescomplemented
76C13×#551C2214yescomplemented
77C13×#551C2214yescomplemented
78C13×#551C2214yescomplemented
79C13×#551C2214yescomplemented
80C13×#551C2214yescomplemented
81C13×#551C2214yescomplemented
82C13×#551C2214yescomplemented
83C13×#551C2214yescomplemented
84C13×#551C2214yescomplemented
85C13×#551C2214yescomplemented
86C13×#550C2214yescomplemented
87D4×Q8×C13C2212yescomplemented
88C13×#548C2214yescomplemented
89C13×#548C2214yescomplemented
90C13×#548C2212yescomplemented
91C13×#548C2212yescomplemented
92C13×#547C2214yescomplemented
93C13×#547C2214yescomplemented
94C13×#546C2214yescomplemented
95C13×#546C2212yescomplemented
96C13×#546C2214yescomplemented
97C13×#546C2214yescomplemented
98C13×#546C2214yescomplemented
99C13×#546C2214yescomplemented
100C13×#546C2214yescomplemented
101C13×#546C2212yescomplemented
102C13×#546C2214yescomplemented
103C13×#546C2214yescomplemented
104C13×#546C2214yescomplemented
105C13×#546C2214yescomplemented
106C13×#546C2214yescomplemented
107C13×#546C2214yescomplemented
108C13×#546C2214yescomplemented
109D42×C13C2214yescomplemented
110D42×C13C2214yescomplemented
111D42×C13C2214yescomplemented
112D42×C13C2214yescomplemented
113D42×C13C2214yescomplemented
114D42×C13C2214yescomplemented
115D42×C13C2212yescomplemented
116C13×#542C2214yescomplemented
117C13×#542C2214yescomplemented
118C13×#542C2214yescomplemented
119C13×#542C2214yescomplemented
120C13×#542C2214yescomplemented
121C13×#542C2214yescomplemented
122C13×#541C2214yescomplemented
123C13×#541C2214yescomplemented
124C13×#541C2212yescomplemented
125C13×#540C2214yescomplemented
126C13×#540C2214yescomplemented
127C13×#540C2214yescomplemented
128C13×#540C2214yescomplemented
129C13×#540C2214yescomplemented
130C13×#540C2214yescomplemented
131C13×#540C2214yescomplemented
132C13×#540C2212yescomplemented
133C13×#539C2214yescomplemented
134C13×#539C2214yescomplemented
135C13×#539C2214yescomplemented
136C13×#539C2214yescomplemented
137C13×#539C2214yescomplemented
138C13×#539C2214yescomplemented
139C13×#539C2214yescomplemented
140C13×#539C2214yescomplemented
141C13×#539C2214yescomplemented
142C13×#538C2214yescomplemented
143C13×#538C2214yescomplemented
144C13×#538C2214yescomplemented
145C13×#538C2214yescomplemented
146C13×#538C2214yescomplemented
147C13×#538C2214yescomplemented
148C13×#538C2214yescomplemented
149C13×#538C2214yescomplemented
150C13×#538C2214yescomplemented
151C13×#538C2214yescomplemented
152C13×#538C2214yescomplemented
153C13×#538C2214yescomplemented
154C13×#538C2214yescomplemented
155C13×#538C2214yescomplemented
156C13×#538C2214yescomplemented
157C13×#538C2214yescomplemented
158C13×#537C2212yescomplemented
159C13×#537C2214yescomplemented
160C13×#536C2214yescomplemented
161C13×#535C2214yescomplemented
162C13×#535C2214yescomplemented
163C13×#535C2214yescomplemented
164C13×#534C2214yescomplemented
165C13×#534C2214yescomplemented
166C13×#534C2214yescomplemented
167C13×#534C2214yescomplemented
168C13×#534C2214yescomplemented
169C13×#534C2214yescomplemented
170C13×#532C2214yescomplemented
171C13×#532C2212yescomplemented
172C13×#532C2211yescharacteristic, complemented
173C13×#529C2214yescomplemented
174C13×#529C2212yescomplemented
175C13×#529C2214yescomplemented
176C13×#529C2214yescomplemented
177C13×#529C2212yescomplemented
178C13×#529C2212yescomplemented
179C13×#529C2212yescomplemented
180C13×#529C2212yescomplemented
181C13×#529C2214yescomplemented
182C13×#529C2214yescomplemented
183C2×C13×#125C2211yescharacteristic, complemented
184C2×C13×#124C2212yescomplemented
185C2×C13×#124C2212yescomplemented
186C13×#525C2214yescomplemented
187C13×#525C2214yescomplemented
188C13×#525C2214yescomplemented
189C13×#525C2214yescomplemented
190C13×#525C2214yescomplemented
191C13×#525C2214yescomplemented
192C2×C13×#123C2214yescomplemented
193C2×C13×#123C2214yescomplemented
194C2×C13×C22⋊Q8C2214yescomplemented
195C2×C13×#121C2214yescomplemented
196C2×C13×#121C2214yescomplemented
197C2×C13×#121C2214yescomplemented
198C13×#520C2212yescomplemented
199C13×#518C2214yescomplemented
200C13×#518C2214yescomplemented
201C4×C13×#41C2211yescharacteristic, complemented
202C2×C4×D4×C13C2214yescomplemented
203C2×C13×#41C2311yescharacteristic
204C2×C13×#41C2312yes—
205C2×C13×#41C2312yes—
206C2×C13×#41C2314yes—
207C2×C13×#41C2314yes—
208C2×C13×#41C2314yes—
209C2×C13×#41C2314yes—
210C2×C13×#41C2312yes—
211C22×Q8×C13C2312yes—
212C22×Q8×C13C2312yes—
213C22×D4×C13C2314yes—
214C22×D4×C13C2314yes—
215C22×D4×C13C2314yes—
216C22×D4×C13C2314yes—
217C22×D4×C13C2312yes—
218C22×D4×C13C2314yes—
219C22×D4×C13C2314yes—
220C22×D4×C13C2314yes—
221C22×D4×C13C2314yes—
222C22×D4×C13C2314yes—
223C22×D4×C13C2312yes—
224C23×C4×C13C2314yes—
225C23×C4×C13C2314yes—
226C13×C4⋊Q8C2314yes—
227C13×C4⋊Q8C2311yescharacteristic
228C13×C4⋊Q8C2312yes—
229C13×C4⋊Q8C2314yes—
230C13×C4⋊Q8C2314yes—
231C13×#127C2311yescharacteristic
232C13×#127C2312yes—
233C13×#127C2314yes—
234C13×#127C2314yes—
235C13×#127C2314yes—
236C13×#127C2314yes—
237C13×#126C2314yes—
238C13×#126C2314yes—
239C13×#126C2314yes—
240C13×#126C2314yes—
241C13×#126C2314yes—
242C13×#126C2314yes—
243C13×#126C2314yes—
244C13×#126C2314yes—
245C13×#126C2314yes—
246C13×#126C2314yes—
247C13×#126C2314yes—
248C13×#126C2314yes—
249C13×#126C2314yes—
250C13×#126C2314yes—
251C13×#126C2314yes—
252C13×#126C2314yes—
253C13×#126C2314yes—
254C13×#126C2314yes—
255C13×#126C2314yes—
256C13×#126C2314yes—
257C13×#126C2314yes—
258C13×#126C2314yes—
259C13×#126C2314yes—
260C13×#126C2314yes—
261C13×#126C2314yes—
262C13×#125C2311yescharacteristic
263C13×#125C2311yescharacteristic
264C13×#125C2314yes—
265C13×#125C2312yes—
266C13×#125C2312yes—
267C13×#125C2314yes—
268C13×#125C2314yes—
269C13×#125C2314yes—
270C13×#125C2314yes—
271C13×#125C2314yes—
272C13×#125C2314yes—
273C13×#125C2314yes—
274C13×#125C2314yes—
275C13×#125C2314yes—
276C13×#125C2314yes—
277C13×#125C2314yes—
278C13×#125C2314yes—
279C13×#124C2312yes—
280C13×#124C2312yes—
281C13×#124C2312yes—
282C13×#124C2314yes—
283C13×#124C2314yes—
284C13×#124C2312yes—
285C13×#124C2312yes—
286C13×#124C2312yes—
287C13×#124C2312yes—
288C13×#124C2314yes—
289C13×#124C2314yes—
290C13×#124C2312yes—
291C13×#124C2314yes—
292C13×#124C2314yes—
293C13×#124C2314yes—
294C13×#124C2314yes—
295C13×#124C2314yes—
296C13×#124C2314yes—
297C13×#124C2314yes—
298C13×#124C2314yes—
299C13×#124C2314yes—
300C13×#124C2314yes—
301C13×#124C2314yes—
302C13×#124C2314yes—
303C13×#124C2314yes—
304C13×#124C2314yes—
305C13×#124C2314yes—
306C13×#123C2314yes—
307C13×#123C2314yes—
308C13×#123C2314yes—
309C13×#123C2314yes—
310C13×#123C2314yes—
311C13×#123C2314yes—
312C13×#123C2314yes—
313C13×#123C2314yes—
314C13×#123C2314yes—
315C13×#123C2314yes—
316C13×#123C2314yes—
317C13×#123C2314yes—
318C13×#123C2314yes—
319C13×#123C2314yes—
320C13×#123C2314yes—
321C13×#123C2314yes—
322C13×#123C2314yes—
323C13×#123C2314yes—
324C13×#123C2314yes—
325C13×#123C2314yes—
326C13×#123C2314yes—
327C13×#123C2314yes—
328C13×#123C2314yes—
329C13×#123C2314yes—
330C13×#123C2314yes—
331C13×#123C2314yes—
332C13×#123C2314yes—
333C13×#123C2314yes—
334C13×#123C2314yes—
335C13×#123C2314yes—
336C13×#123C2314yes—
337C13×#123C2314yes—
338C13×#123C2314yes—
339C13×#123C2314yes—
340C13×#123C2314yes—
341C13×#123C2314yes—
342C13×#123C2314yes—
343C13×#123C2314yes—
344C13×#123C2314yes—
345C13×#123C2314yes—
346C13×#123C2314yes—
347C13×#123C2314yes—
348C13×#123C2314yes—
349C13×#123C2314yes—
350C13×#123C2314yes—
351C13×#123C2314yes—
352C13×#123C2314yes—
353C13×#123C2314yes—
354C13×#123C2314yes—
355C13×#123C2314yes—
356C13×#123C2314yes—
357C13×C22⋊Q8C2314yes—
358C13×C22⋊Q8C2314yes—
359C13×C22⋊Q8C2314yes—
360C13×C22⋊Q8C2314yes—
361C13×C22⋊Q8C2314yes—
362C13×C22⋊Q8C2314yes—
363C13×C22⋊Q8C2314yes—
364C13×C22⋊Q8C2314yes—
365C13×C22⋊Q8C2314yes—
366C13×C22⋊Q8C2314yes—
367C13×C22⋊Q8C2314yes—
368C13×C22⋊Q8C2314yes—
369C13×C22⋊Q8C2314yes—
370C13×C22⋊Q8C2314yes—
371C13×C22⋊Q8C2314yes—
372C13×C22⋊Q8C2314yes—
373C13×C22⋊Q8C2314yes—
374C13×C22⋊Q8C2312yes—
375C13×C22⋊Q8C2312yes—
376C13×C22⋊Q8C2312yes—
377C13×C22⋊Q8C2312yes—
378C13×C22⋊Q8C2312yes—
379C13×C22⋊Q8C2314yes—
380C13×C22⋊Q8C2314yes—
381C13×C22⋊Q8C2314yes—
382C13×C22⋊Q8C2314yes—
383C13×C22⋊Q8C2314yes—
384C13×C22⋊Q8C2314yes—
385C13×C22⋊Q8C2314yes—
386C13×C22⋊Q8C2314yes—
387C13×C22⋊Q8C2314yes—
388C13×C22⋊Q8C2314yes—
389C13×C22⋊Q8C2314yes—
390C13×C22⋊Q8C2314yes—
391C13×C22⋊Q8C2314yes—
392C13×#121C2314yes—
393C13×#121C2314yes—
394C13×#121C2314yes—
395C13×#121C2314yes—
396C13×#121C2314yes—
397C13×#121C2314yes—
398C13×#121C2314yes—
399C13×#121C2314yes—
400C13×#121C2314yes—
401C13×#121C2314yes—
402C13×#121C2314yes—
403C13×#121C2314yes—
404C13×#121C2314yes—
405C13×#121C2314yes—
406C13×#121C2314yes—
407C13×#121C2314yes—
408C13×#121C2314yes—
409C13×#121C2314yes—
410C13×#121C2314yes—
411C13×#121C2314yes—
412C13×#121C2314yes—
413C13×#121C2314yes—
414C13×#121C2314yes—
415C13×#121C2314yes—
416C13×#121C2314yes—
417C13×#121C2314yes—
418C13×#121C2314yes—
419C13×#121C2314yes—
420C13×#121C2314yes—
421C13×#121C2314yes—
422C13×#121C2314yes—
423C13×#121C2312yes—
424C13×#121C2312yes—
425C13×#121C2312yes—
426C13×#121C2314yes—
427C13×#121C2314yes—
428C13×#121C2312yes—
429C13×#121C2312yes—
430C13×#121C2314yes—
431C13×#121C2314yes—
432C13×#121C2314yes—
433C13×#121C2314yes—
434C13×#121C2314yes—
435C13×#121C2314yes—
436C13×#121C2314yes—
437C13×#121C2314yes—
438C13×#121C2314yes—
439C13×#121C2314yes—
440C13×#121C2314yes—
441C13×#121C2314yes—
442C13×#121C2314yes—
443C13×#121C2314yes—
444C13×#121C2314yes—
445C13×#121C2314yes—
446C13×#121C2314yes—
447C13×#121C2314yes—
448C13×#121C2314yes—
449C13×#121C2314yes—
450C13×#121C2314yes—
451C13×#121C2314yes—
452C13×#121C2314yes—
453C13×#121C2314yes—
454C13×#121C2314yes—
455C13×#121C2314yes—
456C13×#120C2314yes—
457C13×#120C2314yes—
458C13×#120C2314yes—
459C13×#120C2314yes—
460C13×#120C2314yes—
461C13×#120C2314yes—
462C13×#120C2314yes—
463C13×#120C2314yes—
464C13×#120C2314yes—
465C13×#120C2314yes—
466C13×#120C2314yes—
467C13×#120C2314yes—
468C13×#120C2314yes—
469C13×#120C2314yes—
470C13×#120C2314yes—
471C13×#120C2314yes—
472C13×#120C2314yes—
473C13×#120C2314yes—
474C13×#120C2314yes—
475C13×#120C2314yes—
476C13×#120C2314yes—
477C13×#120C2314yes—
478C13×#120C2314yes—
479C13×#120C2314yes—
480C4×Q8×C13C2312yes—
481C4×Q8×C13C2312yes—
482C4×Q8×C13C2312yes—
483C4×Q8×C13C2312yes—
484C4×Q8×C13C2312yes—
485C4×Q8×C13C2314yes—
486C4×Q8×C13C2314yes—
487C4×Q8×C13C2314yes—
488C4×Q8×C13C2312yes—
489C4×D4×C13C2314yes—
490C4×D4×C13C2314yes—
491C4×D4×C13C2314yes—
492C4×D4×C13C2314yes—
493C4×D4×C13C2314yes—
494C4×D4×C13C2314yes—
495C4×D4×C13C2314yes—
496C4×D4×C13C2314yes—
497C4×D4×C13C2312yes—
498C4×D4×C13C2312yes—
499C4×D4×C13C2312yes—
500C4×D4×C13C2314yes—
501C4×D4×C13C2314yes—
502C4×D4×C13C2314yes—
503C4×D4×C13C2314yes—
504C4×D4×C13C2314yes—
505C4×D4×C13C2314yes—
506C4×D4×C13C2314yes—
507C4×D4×C13C2314yes—
508C4×D4×C13C2314yes—
509C4×D4×C13C2314yes—
510C4×D4×C13C2314yes—
511C4×D4×C13C2314yes—
512C4×D4×C13C2312yes—
513C4×D4×C13C2314yes—
514C4×D4×C13C2312yes—
515C4×D4×C13C2314yes—
516C4×D4×C13C2312yes—
517C4×D4×C13C2314yes—
518C4×D4×C13C2314yes—
519C4×D4×C13C2314yes—
520C4×D4×C13C2314yes—
521C4×D4×C13C2314yes—
522C4×D4×C13C2314yes—
523C4×D4×C13C2314yes—
524C4×D4×C13C2314yes—
525C4×D4×C13C2314yes—
526C4×D4×C13C2312yes—
527C4×D4×C13C2314yes—
528C4×D4×C13C2314yes—
529C4×D4×C13C2314yes—
530C4×D4×C13C2314yes—
531C4×D4×C13C2314yes—
532C4×D4×C13C2314yes—
533C4×D4×C13C2312yes—
534C4×D4×C13C2314yes—
535C4×D4×C13C2314yes—
536C4×D4×C13C2314yes—
537C4×D4×C13C2314yes—
538C13×#117C2311yescharacteristic
539C13×#117C2312yes—
540C13×#117C2314yes—
541C13×#117C2314yes—
542C13×#117C2314yes—
543C13×#117C2314yes—
544C13×#117C2314yes—
545C13×#117C2314yes—
546C13×#117C2314yes—
547C13×#117C2314yes—
548C13×#117C2314yes—
549C13×#117C2314yes—
550C13×#117C2314yes—
551C13×#117C2314yes—
552C13×#117C2314yes—
553C13×#117C2314yes—
554C13×#117C2314yes—
555C2×C13×C4⋊C4C2314yes—
556C2×C13×C4⋊C4C2312yes—
557C2×C13×C4⋊C4C2314yes—
558C2×C13×C4⋊C4C2314yes—
559C2×C13×C4⋊C4C2314yes—
560C2×C13×C4⋊C4C2314yes—
561C2×C13×C4⋊C4C2314yes—
562C2×C13×C4⋊C4C2314yes—
563C2×C13×C22⋊C4C2314yes—
564C2×C13×C22⋊C4C2314yes—
565C2×C13×C22⋊C4C2314yes—
566C2×C13×C22⋊C4C2314yes—
567C2×C13×C22⋊C4C2314yes—
568C2×C13×C22⋊C4C2314yes—
569C2×C13×C22⋊C4C2314yes—
570C2×C13×C22⋊C4C2314yes—
571C2×C13×C22⋊C4C2314yes—
572C2×C13×C22⋊C4C2314yes—
573C2×C13×C22⋊C4C2314yes—
574C2×C13×C22⋊C4C2314yes—
575C2×C13×C22⋊C4C2314yes—
576C2×C13×C22⋊C4C2314yes—
577C2×C42×C13C2314yes—
578C2×C42×C13C2311yescharacteristic
579C2×C42×C13C2312yes—
580#63055C1311yesmaximal, characteristic, direct product factor, Sylow
581C24×C13C2414yes—
582C24×C13C2414yes—
583C24×C13C2414yes—
584C24×C13C2414yes—
585C13×#41—42no—
586C13×#41—44no—
587C13×#41—82no—
588C13×#41—84no—
589C13×#41—84no—
590C13×#41—84no—
591C13×#41—84no—
592C13×#41—82no—
593C2×Q8×C13—82no—
594C2×Q8×C13—82no—
595C2×Q8×C13C2411yescharacteristic
596C2×Q8×C13C2412yes—
597C2×Q8×C13C2412yes—
598C2×Q8×C13C2412yes—
599C2×Q8×C13C2414yes—
600C2×Q8×C13C2414yes—
601C2×Q8×C13C2414yes—
602C2×Q8×C13C2412yes—
603C2×D4×C13—48no—
604C2×D4×C13—48no—
605C2×D4×C13—48no—
606C2×D4×C13—84no—
607C2×D4×C13—84no—
608C2×D4×C13—84no—
609C2×D4×C13—82no—
610C2×D4×C13—82no—
611C2×D4×C13—84no—
612C2×D4×C13—84no—
613C2×D4×C13—84no—
614C2×D4×C13C2414yes—
615C2×D4×C13C2412yes—
616C2×D4×C13C2414yes—
617C2×D4×C13C2411yescharacteristic
618C2×D4×C13C2412yes—
619C2×D4×C13C2414yes—
620C2×D4×C13C2414yes—
621C2×D4×C13C2414yes—
622C2×D4×C13C2414yes—
623C2×D4×C13C2414yes—
624C2×D4×C13C2414yes—
625C2×D4×C13C2414yes—
626C2×D4×C13C2412yes—
627C2×D4×C13C2414yes—
628C2×D4×C13C2414yes—
629C2×D4×C13C2414yes—
630C2×D4×C13C2414yes—
631C2×D4×C13C2414yes—
632C2×D4×C13C2414yes—
633C2×D4×C13C2414yes—
634C2×D4×C13C2414yes—
635C2×D4×C13C2414yes—
636C2×D4×C13C2414yes—
637C2×D4×C13C2412yes—
638C2×D4×C13C2412yes—
639C2×D4×C13C2414yes—
640C2×D4×C13C2414yes—
641C2×D4×C13C2414yes—
642C2×D4×C13C2414yes—
643C2×D4×C13C2414yes—
644C2×D4×C13C2414yes—
645C2×D4×C13C2414yes—
646C2×D4×C13C2414yes—
647C2×D4×C13C2414yes—
648C22×C4×C13—84no—
649C22×C4×C13—84no—
650C22×C4×C13C2411yescharacteristic
651C22×C4×C13C2412yes—
652C22×C4×C13C2412yes—
653C22×C4×C13C2414yes—
654C22×C4×C13C2412yes—
655C22×C4×C13C2414yes—
656C22×C4×C13C2412yes—
657C22×C4×C13C2414yes—
658C22×C4×C13C2414yes—
659C22×C4×C13C2414yes—
660C22×C4×C13C2414yes—
661C22×C4×C13C2414yes—
662C22×C4×C13C2414yes—
663C22×C4×C13C2414yes—
664C22×C4×C13C2414yes—
665C22×C4×C13C2414yes—
666C22×C4×C13C2414yes—
667C22×C4×C13C2414yes—
668C22×C4×C13C2414yes—
669C22×C4×C13C2414yes—
670C22×C4×C13C2414yes—
671C22×C4×C13C2414yes—
672C22×C4×C13C2414yes—
673C22×C4×C13C2414yes—
674C22×C4×C13C2414yes—
675C22×C4×C13C2414yes—
676C13×C4⋊C4C2412yes—
677C13×C4⋊C4C2414yes—
678C13×C4⋊C4C2414yes—
679C13×C4⋊C4C2414yes—
680C13×C4⋊C4C2414yes—
681C13×C4⋊C4C2414yes—
682C13×C4⋊C4C2414yes—
683C13×C4⋊C4C2414yes—
684C13×C4⋊C4C2414yes—
685C13×C4⋊C4C2414yes—
686C13×C4⋊C4C2414yes—
687C13×C4⋊C4C2414yes—
688C13×C4⋊C4C2414yes—
689C13×C4⋊C4C2414yes—
690C13×C4⋊C4C2414yes—
691C13×C4⋊C4C2414yes—
692C13×C4⋊C4C2414yes—
693C13×C4⋊C4C2414yes—
694C13×C4⋊C4C2414yes—
695C13×C4⋊C4C2414yes—
696C13×C4⋊C4C2414yes—
697C13×C4⋊C4C2414yes—
698C13×C4⋊C4C2414yes—
699C13×C4⋊C4C2414yes—
700C13×C4⋊C4C2412yes—
701C13×C4⋊C4C2412yes—
702C13×C4⋊C4C2412yes—
703C13×C4⋊C4C2414yes—
704C13×C4⋊C4C2414yes—
705C13×C4⋊C4C2414yes—
706C13×C4⋊C4C2414yes—
707C13×C4⋊C4C2414yes—
708C13×C4⋊C4C2414yes—
709C13×C4⋊C4C2414yes—
710C13×C4⋊C4C2412yes—
711C13×C4⋊C4C2414yes—
712C13×C4⋊C4C2414yes—
713C13×C4⋊C4C2412yes—
714C13×C4⋊C4C2414yes—
715C13×C4⋊C4C2414yes—
716C13×C4⋊C4C2412yes—
717C13×C22⋊C4C2411yescharacteristic
718C13×C22⋊C4C2414yes—
719C13×C22⋊C4C2414yes—
720C13×C22⋊C4C2414yes—
721C13×C22⋊C4C2414yes—
722C13×C22⋊C4C2412yes—
723C13×C22⋊C4C2414yes—
724C13×C22⋊C4C2414yes—
725C13×C22⋊C4C2414yes—
726C13×C22⋊C4C2414yes—
727C13×C22⋊C4C2414yes—
728C13×C22⋊C4C2414yes—
729C13×C22⋊C4C2414yes—
730C13×C22⋊C4C2414yes—
731C13×C22⋊C4C2414yes—
732C13×C22⋊C4C2414yes—
733C13×C22⋊C4C2414yes—
734C13×C22⋊C4C2414yes—
735C13×C22⋊C4C2414yes—
736C13×C22⋊C4C2414yes—
737C13×C22⋊C4C2414yes—
738C13×C22⋊C4C2414yes—
739C13×C22⋊C4C2414yes—
740C13×C22⋊C4C2414yes—
741C13×C22⋊C4C2414yes—
742C13×C22⋊C4C2414yes—
743C13×C22⋊C4C2414yes—
744C13×C22⋊C4C2414yes—
745C13×C22⋊C4C2414yes—
746C13×C22⋊C4C2414yes—
747C13×C22⋊C4C2414yes—
748C13×C22⋊C4C2414yes—
749C13×C22⋊C4C2414yes—
750C13×C22⋊C4C2414yes—
751C13×C22⋊C4C2414yes—
752C13×C22⋊C4C2414yes—
753C13×C22⋊C4C2414yes—
754C13×C22⋊C4C2414yes—
755C13×C22⋊C4C2414yes—
756C13×C22⋊C4C2414yes—
757C13×C22⋊C4C2414yes—
758C13×C22⋊C4C2414yes—
759C13×C22⋊C4C2414yes—
760C13×C22⋊C4C2411yescharacteristic
761C13×C22⋊C4C2412yes—
762C13×C22⋊C4C2414yes—
763C13×C22⋊C4C2414yes—
764C13×C22⋊C4C2414yes—
765C13×C22⋊C4C2414yes—
766C13×C22⋊C4C2414yes—
767C13×C22⋊C4C2414yes—
768C13×C22⋊C4C2414yes—
769C13×C22⋊C4C2414yes—
770C42×C13C2411yescharacteristic
771C42×C13C2411yescharacteristic
772C42×C13C2414yes—
773C42×C13C2414yes—
774C42×C13C2412yes—
775C42×C13C2412yes—
776C42×C13C2414yes—
777C42×C13C2412yes—
778C42×C13C2414yes—
779C42×C13C2412yes—
780C42×C13C2414yes—
781C42×C13C2414yes—
782C42×C13C2414yes—
783C42×C13C2414yes—
784C42×C13C2414yes—
785#3567C2×C1312yescomplemented
786#3566C2×C1314yescomplemented
787#3566C2×C1314yescomplemented
788#3562C2×C1314yescomplemented
789#3558C2×C1312yescomplemented
790#3558C2×C1312yescomplemented
791#3553C2×C1311yescharacteristic, complemented
792#3545C2×C1312yescomplemented
793#3542C2×C1314yescomplemented
794#3541C2×C1314yescomplemented
795#3537C2×C1314yescomplemented
796#3534C2×C1314yescomplemented
797#3534C2×C1314yescomplemented
798#3533C2×C1314yescomplemented
799#3529C2×C1312yescomplemented
800C2×#562C2×C1311yescharacteristic, complemented
801#3519C2×C1314yescomplemented
802#3514C2×C1312yescomplemented
803#3513C2×C1314yescomplemented
804#3512C2×C1311yescharacteristic, complemented
805#3505C2×C1314yescomplemented
806C23×C13—28no—
807C23×C13—44no—
808C23×C13—44no—
809C23×C13—44no—
810C23×C13—44no—
811C23×C13—44no—
812C23×C13—44no—
813C23×C13—44no—
814C23×C13—44no—
815C23×C13—44no—
816C23×C13—44no—
817C23×C13—44no—
818C23×C13C2514yes—
819C23×C13C2514yes—
820C23×C13C2514yes—
821C23×C13C2512yes—
822C23×C13C2514yes—
823C23×C13C2511yescharacteristic
824Q8×C13—42no—
825Q8×C13—42no—
826Q8×C13—44no—
827Q8×C13—44no—
828Q8×C13—42no—
829Q8×C13—41no—
830Q8×C13—42no—
831Q8×C13—44no—
832D4×C13—28no—
833D4×C13—28no—
834D4×C13—24no—
835D4×C13—44no—
836D4×C13—44no—
837D4×C13—44no—
838D4×C13—44no—
839D4×C13—44no—
840D4×C13—44no—
841D4×C13—44no—
842D4×C13—44no—
843D4×C13—44no—
844D4×C13—44no—
845D4×C13—44no—
846D4×C13—44no—
847D4×C13—44no—
848D4×C13—44no—
849D4×C13—42no—
850D4×C13—44no—
851D4×C13—44no—
852D4×C13—44no—
853D4×C13—44no—
854D4×C13—44no—
855D4×C13—44no—
856D4×C13—44no—
857D4×C13—44no—
858D4×C13—42no—
859D4×C13—44no—
860D4×C13—42no—
861D4×C13—44no—
862D4×C13—41no—
863D4×C13—42no—
864D4×C13—44no—
865D4×C13—44no—
866C2×C4×C13—22no—
867C2×C4×C13—44no—
868C2×C4×C13—44no—
869C2×C4×C13—44no—
870C2×C4×C13—44no—
871C2×C4×C13—44no—
872C2×C4×C13—44no—
873C2×C4×C13—44no—
874C2×C4×C13—44no—
875C2×C4×C13—44no—
876C2×C4×C13—44no—
877C2×C4×C13—44no—
878C2×C4×C13—44no—
879C2×C4×C13—44no—
880C2×C4×C13—44no—
881C2×C4×C13—42no—
882C2×C4×C13—42no—
883C2×C4×C13—44no—
884C2×C4×C13—44no—
885C2×C4×C13—44no—
886C2×C4×C13—44no—
887C2×C4×C13—44no—
888C2×C4×C13—42no—
889C2×C4×C13—42no—
890C2×C4×C13—44no—
891C2×C4×C13—44no—
892C2×C4×C13C2512yes—
893C2×C4×C13C2511yescharacteristic
894C2×C4×C13C2514yes—
895C2×C4×C13C2512yes—
896C2×C4×C13C2512yes—
897C2×C4×C13C2514yes—
898C2×C4×C13C2514yes—
899C2×C4×C13C2512yes—
900C2×C4×C13C2512yes—
901C2×C4×C13C2511yescharacteristic
902C2×C4×C13C2514yes—
903C2×C4×C13C2514yes—
904C2×C4×C13C2514yes—
905C2×C4×C13C2514yes—
906C2×C4×C13C2514yes—
907#564C22×C1311yescharacteristic, complemented
908#563C22×C1314yescomplemented
909#563C22×C1312yescomplemented
910#563C22×C1314yescomplemented
911#562C22×C1311yescharacteristic, complemented
912#562C22×C1314yescomplemented
913#562C22×C1314yescomplemented
914#562C22×C1314yescomplemented
915#562C22×C1311yescharacteristic, complemented
916#562C22×C1312yescomplemented
917#562C22×C1314yescomplemented
918#562C22×C1314yescomplemented
919#562C22×C1312yescomplemented
920#562C22×C1314yescomplemented
921#562C22×C1314yescomplemented
922#562C22×C1312yescomplemented
923#562C22×C1311yescharacteristic, complemented
924H(3,𝔽4)C22×C1312yescomplemented
925H(3,𝔽4)C22×C1312yescomplemented
926#560C22×C1314yescomplemented
927#560C22×C1314yescomplemented
928#560C22×C1314yescomplemented
929#560C22×C1314yescomplemented
930#560C22×C1314yescomplemented
931#560C22×C1314yescomplemented
932#559C22×C1314yescomplemented
933#559C22×C1312yescomplemented
934#559C22×C1314yescomplemented
935#556C22×C1312yescomplemented
936#556C22×C1314yescomplemented
937#555C22×C1314yescomplemented
938#555C22×C1314yescomplemented
939#554C22×C1314yescomplemented
940#554C22×C1314yescomplemented
941#553C22×C1314yescomplemented
942#553C22×C1314yescomplemented
943#553C22×C1314yescomplemented
944#553C22×C1314yescomplemented
945#553C22×C1314yescomplemented
946#553C22×C1314yescomplemented
947#553C22×C1314yescomplemented
948#553C22×C1314yescomplemented
949#553C22×C1314yescomplemented
950#553C22×C1314yescomplemented
951#553C22×C1314yescomplemented
952#553C22×C1314yescomplemented
953#553C22×C1314yescomplemented
954#553C22×C1314yescomplemented
955#552C22×C1314yescomplemented
956#552C22×C1314yescomplemented
957#552C22×C1314yescomplemented
958#552C22×C1314yescomplemented
959#552C22×C1314yescomplemented
960#552C22×C1314yescomplemented
961#551C22×C1314yescomplemented
962#551C22×C1314yescomplemented
963#551C22×C1314yescomplemented
964#551C22×C1314yescomplemented
965#551C22×C1314yescomplemented
966#551C22×C1314yescomplemented
967#551C22×C1314yescomplemented
968#551C22×C1314yescomplemented
969#551C22×C1314yescomplemented
970#551C22×C1314yescomplemented
971#550C22×C1314yescomplemented
972D4×Q8C22×C1312yescomplemented
973#548C22×C1312yescomplemented
974#548C22×C1314yescomplemented
975#548C22×C1312yescomplemented
976#548C22×C1314yescomplemented
977#547C22×C1314yescomplemented
978#547C22×C1314yescomplemented
979#546C22×C1314yescomplemented
980#546C22×C1314yescomplemented
981#546C22×C1314yescomplemented
982#546C22×C1314yescomplemented
983#546C22×C1314yescomplemented
984#546C22×C1314yescomplemented
985#546C22×C1312yescomplemented
986#546C22×C1312yescomplemented
987#546C22×C1314yescomplemented
988#546C22×C1314yescomplemented
989#546C22×C1314yescomplemented
990#546C22×C1314yescomplemented
991#546C22×C1314yescomplemented
992#546C22×C1314yescomplemented
993#546C22×C1314yescomplemented
994D42C22×C1314yescomplemented
995D42C22×C1312yescomplemented
996D42C22×C1314yescomplemented
997D42C22×C1314yescomplemented
998D42C22×C1314yescomplemented
999D42C22×C1314yescomplemented
1000D42C22×C1314yescomplemented
1001#542C22×C1314yescomplemented
1002#542C22×C1314yescomplemented
1003#542C22×C1314yescomplemented
1004#542C22×C1314yescomplemented
1005#542C22×C1314yescomplemented
1006#542C22×C1314yescomplemented
1007#541C22×C1312yescomplemented
1008#541C22×C1314yescomplemented
1009#541C22×C1314yescomplemented
1010#540C22×C1312yescomplemented
1011#540C22×C1314yescomplemented
1012#540C22×C1314yescomplemented
1013#540C22×C1314yescomplemented
1014#540C22×C1314yescomplemented
1015#540C22×C1314yescomplemented
1016#540C22×C1314yescomplemented
1017#540C22×C1314yescomplemented
1018#539C22×C1314yescomplemented
1019#539C22×C1314yescomplemented
1020#539C22×C1314yescomplemented
1021#539C22×C1314yescomplemented
1022#539C22×C1314yescomplemented
1023#539C22×C1314yescomplemented
1024#539C22×C1314yescomplemented
1025#539C22×C1314yescomplemented
1026#539C22×C1314yescomplemented
1027#538C22×C1314yescomplemented
1028#538C22×C1314yescomplemented
1029#538C22×C1314yescomplemented
1030#538C22×C1314yescomplemented
1031#538C22×C1314yescomplemented
1032#538C22×C1314yescomplemented
1033#538C22×C1314yescomplemented
1034#538C22×C1314yescomplemented
1035#538C22×C1314yescomplemented
1036#538C22×C1314yescomplemented
1037#538C22×C1314yescomplemented
1038#538C22×C1314yescomplemented
1039#538C22×C1314yescomplemented
1040#538C22×C1314yescomplemented
1041#538C22×C1314yescomplemented
1042#538C22×C1314yescomplemented
1043#537C22×C1312yescomplemented
1044#537C22×C1314yescomplemented
1045#536C22×C1314yescomplemented
1046#535C22×C1314yescomplemented
1047#535C22×C1314yescomplemented
1048#535C22×C1314yescomplemented
1049#534C22×C1314yescomplemented
1050#534C22×C1314yescomplemented
1051#534C22×C1314yescomplemented
1052#534C22×C1314yescomplemented
1053#534C22×C1314yescomplemented
1054#534C22×C1314yescomplemented
1055#532C22×C1311yescharacteristic, complemented
1056#532C22×C1312yescomplemented
1057#532C22×C1314yescomplemented
1058#529C22×C1314yescomplemented
1059#529C22×C1314yescomplemented
1060#529C22×C1312yescomplemented
1061#529C22×C1312yescomplemented
1062#529C22×C1314yescomplemented
1063#529C22×C1314yescomplemented
1064#529C22×C1312yescomplemented
1065#529C22×C1312yescomplemented
1066#529C22×C1312yescomplemented
1067#529C22×C1314yescomplemented
1068C2×#125C22×C1311yescharacteristic, complemented
1069C2×#124C22×C1312yescomplemented
1070C2×#124C22×C1312yescomplemented
1071#525C22×C1314yescomplemented
1072#525C22×C1314yescomplemented
1073#525C22×C1314yescomplemented
1074#525C22×C1314yescomplemented
1075#525C22×C1314yescomplemented
1076#525C22×C1314yescomplemented
1077C2×#123C22×C1314yescomplemented
1078C2×#123C22×C1314yescomplemented
1079C2×C22⋊Q8C22×C1314yescomplemented
1080C2×#121C22×C1314yescomplemented
1081C2×#121C22×C1314yescomplemented
1082C2×#121C22×C1314yescomplemented
1083#520C22×C1312yescomplemented
1084#518C22×C1314yescomplemented
1085#518C22×C1314yescomplemented
1086C4×#41C22×C1311yescharacteristic, complemented
1087C2×C4×D4C22×C1314yescomplemented
1088C22×C13—22no—
1089C22×C13—24no—
1090C22×C13—24no—
1091C22×C13—22no—
1092C22×C13—24no—
1093C22×C13—24no—
1094C22×C13—24no—
1095C22×C13—24no—
1096C22×C13—22no—
1097C22×C13—24no—
1098C22×C13—24no—
1099C22×C13—24no—
1100C22×C13—24no—
1101C22×C13—24no—
1102C22×C13—22no—
1103C22×C13—24no—
1104C22×C13—88no—
1105C22×C13—88no—
1106C22×C13—164no—
1107C22×C13—164no—
1108C22×C13#58512yes—
1109C22×C13C2611yescharacteristic
1110C4×C13—21no—
1111C4×C13—21no—
1112C4×C13—24no—
1113C4×C13—22no—
1114C4×C13—24no—
1115C4×C13—22no—
1116C4×C13—24no—
1117C4×C13—24no—
1118C4×C13—24no—
1119C4×C13—24no—
1120C4×C13—24no—
1121C4×C13—22no—
1122C4×C13—22no—
1123C4×C13—22no—
1124C4×C13—24no—
1125C2×#41C23×C1311yescharacteristic
1126C2×#41C23×C1312yes—
1127C2×#41C23×C1312yes—
1128C2×#41C23×C1314yes—
1129C2×#41C23×C1314yes—
1130C2×#41C23×C1314yes—
1131C2×#41C23×C1314yes—
1132C2×#41C23×C1312yes—
1133C22×Q8C23×C1312yes—
1134C22×Q8C23×C1312yes—
1135C22×D4C23×C1314yes—
1136C22×D4C23×C1314yes—
1137C22×D4C23×C1314yes—
1138C22×D4C23×C1314yes—
1139C22×D4C23×C1312yes—
1140C22×D4C23×C1314yes—
1141C22×D4C23×C1314yes—
1142C22×D4C23×C1314yes—
1143C22×D4C23×C1314yes—
1144C22×D4C23×C1314yes—
1145C22×D4C23×C1312yes—
1146C23×C4C23×C1314yes—
1147C23×C4C23×C1314yes—
1148C4⋊Q8C23×C1314yes—
1149C4⋊Q8C23×C1311yescharacteristic
1150C4⋊Q8C23×C1312yes—
1151C4⋊Q8C23×C1314yes—
1152C4⋊Q8C23×C1314yes—
1153#127C23×C1311yescharacteristic
1154#127C23×C1312yes—
1155#127C23×C1314yes—
1156#127C23×C1314yes—
1157#127C23×C1314yes—
1158#127C23×C1314yes—
1159#126C23×C1314yes—
1160#126C23×C1314yes—
1161#126C23×C1314yes—
1162#126C23×C1314yes—
1163#126C23×C1314yes—
1164#126C23×C1314yes—
1165#126C23×C1314yes—
1166#126C23×C1314yes—
1167#126C23×C1314yes—
1168#126C23×C1314yes—
1169#126C23×C1314yes—
1170#126C23×C1314yes—
1171#126C23×C1314yes—
1172#126C23×C1314yes—
1173#126C23×C1314yes—
1174#126C23×C1314yes—
1175#126C23×C1314yes—
1176#126C23×C1314yes—
1177#126C23×C1314yes—
1178#126C23×C1314yes—
1179#126C23×C1314yes—
1180#126C23×C1314yes—
1181#126C23×C1314yes—
1182#126C23×C1314yes—
1183#126C23×C1314yes—
1184#125C23×C1311yescharacteristic
1185#125C23×C1311yescharacteristic
1186#125C23×C1314yes—
1187#125C23×C1312yes—
1188#125C23×C1312yes—
1189#125C23×C1314yes—
1190#125C23×C1314yes—
1191#125C23×C1314yes—
1192#125C23×C1314yes—
1193#125C23×C1314yes—
1194#125C23×C1314yes—
1195#125C23×C1314yes—
1196#125C23×C1314yes—
1197#125C23×C1314yes—
1198#125C23×C1314yes—
1199#125C23×C1314yes—
1200#125C23×C1314yes—
1201#124C23×C1312yes—
1202#124C23×C1312yes—
1203#124C23×C1312yes—
1204#124C23×C1314yes—
1205#124C23×C1314yes—
1206#124C23×C1312yes—
1207#124C23×C1312yes—
1208#124C23×C1312yes—
1209#124C23×C1312yes—
1210#124C23×C1314yes—
1211#124C23×C1314yes—
1212#124C23×C1312yes—
1213#124C23×C1314yes—
1214#124C23×C1314yes—
1215#124C23×C1314yes—
1216#124C23×C1314yes—
1217#124C23×C1314yes—
1218#124C23×C1314yes—
1219#124C23×C1314yes—
1220#124C23×C1314yes—
1221#124C23×C1314yes—
1222#124C23×C1314yes—
1223#124C23×C1314yes—
1224#124C23×C1314yes—
1225#124C23×C1314yes—
1226#124C23×C1314yes—
1227#124C23×C1314yes—
1228#123C23×C1314yes—
1229#123C23×C1314yes—
1230#123C23×C1314yes—
1231#123C23×C1314yes—
1232#123C23×C1314yes—
1233#123C23×C1314yes—
1234#123C23×C1314yes—
1235#123C23×C1314yes—
1236#123C23×C1314yes—
1237#123C23×C1314yes—
1238#123C23×C1314yes—
1239#123C23×C1314yes—
1240#123C23×C1314yes—
1241#123C23×C1314yes—
1242#123C23×C1314yes—
1243#123C23×C1314yes—
1244#123C23×C1314yes—
1245#123C23×C1314yes—
1246#123C23×C1314yes—
1247#123C23×C1314yes—
1248#123C23×C1314yes—
1249#123C23×C1314yes—
1250#123C23×C1314yes—
1251#123C23×C1314yes—
1252#123C23×C1314yes—
1253#123C23×C1314yes—
1254#123C23×C1314yes—
1255#123C23×C1314yes—
1256#123C23×C1314yes—
1257#123C23×C1314yes—
1258#123C23×C1314yes—
1259#123C23×C1314yes—
1260#123C23×C1314yes—
1261#123C23×C1314yes—
1262#123C23×C1314yes—
1263#123C23×C1314yes—
1264#123C23×C1314yes—
1265#123C23×C1314yes—
1266#123C23×C1314yes—
1267#123C23×C1314yes—
1268#123C23×C1314yes—
1269#123C23×C1314yes—
1270#123C23×C1314yes—
1271#123C23×C1314yes—
1272#123C23×C1314yes—
1273#123C23×C1314yes—
1274#123C23×C1314yes—
1275#123C23×C1314yes—
1276#123C23×C1314yes—
1277#123C23×C1314yes—
1278#123C23×C1314yes—
1279C22⋊Q8C23×C1314yes—
1280C22⋊Q8C23×C1314yes—
1281C22⋊Q8C23×C1314yes—
1282C22⋊Q8C23×C1314yes—
1283C22⋊Q8C23×C1314yes—
1284C22⋊Q8C23×C1314yes—
1285C22⋊Q8C23×C1314yes—
1286C22⋊Q8C23×C1314yes—
1287C22⋊Q8C23×C1314yes—
1288C22⋊Q8C23×C1314yes—
1289C22⋊Q8C23×C1314yes—
1290C22⋊Q8C23×C1314yes—
1291C22⋊Q8C23×C1314yes—
1292C22⋊Q8C23×C1314yes—
1293C22⋊Q8C23×C1314yes—
1294C22⋊Q8C23×C1314yes—
1295C22⋊Q8C23×C1314yes—
1296C22⋊Q8C23×C1312yes—
1297C22⋊Q8C23×C1312yes—
1298C22⋊Q8C23×C1312yes—
1299C22⋊Q8C23×C1312yes—
1300C22⋊Q8C23×C1312yes—
1301C22⋊Q8C23×C1314yes—
1302C22⋊Q8C23×C1314yes—
1303C22⋊Q8C23×C1314yes—
1304C22⋊Q8C23×C1314yes—
1305C22⋊Q8C23×C1314yes—
1306C22⋊Q8C23×C1314yes—
1307C22⋊Q8C23×C1314yes—
1308C22⋊Q8C23×C1314yes—
1309C22⋊Q8C23×C1314yes—
1310C22⋊Q8C23×C1314yes—
1311C22⋊Q8C23×C1314yes—
1312C22⋊Q8C23×C1314yes—
1313C22⋊Q8C23×C1314yes—
1314#121C23×C1314yes—
1315#121C23×C1314yes—
1316#121C23×C1314yes—
1317#121C23×C1314yes—
1318#121C23×C1314yes—
1319#121C23×C1314yes—
1320#121C23×C1314yes—
1321#121C23×C1314yes—
1322#121C23×C1314yes—
1323#121C23×C1314yes—
1324#121C23×C1314yes—
1325#121C23×C1314yes—
1326#121C23×C1314yes—
1327#121C23×C1314yes—
1328#121C23×C1314yes—
1329#121C23×C1314yes—
1330#121C23×C1314yes—
1331#121C23×C1314yes—
1332#121C23×C1314yes—
1333#121C23×C1314yes—
1334#121C23×C1314yes—
1335#121C23×C1314yes—
1336#121C23×C1314yes—
1337#121C23×C1314yes—
1338#121C23×C1314yes—
1339#121C23×C1314yes—
1340#121C23×C1314yes—
1341#121C23×C1314yes—
1342#121C23×C1314yes—
1343#121C23×C1314yes—
1344#121C23×C1314yes—
1345#121C23×C1312yes—
1346#121C23×C1312yes—
1347#121C23×C1312yes—
1348#121C23×C1314yes—
1349#121C23×C1314yes—
1350#121C23×C1312yes—
1351#121C23×C1312yes—
1352#121C23×C1314yes—
1353#121C23×C1314yes—
1354#121C23×C1314yes—
1355#121C23×C1314yes—
1356#121C23×C1314yes—
1357#121C23×C1314yes—
1358#121C23×C1314yes—
1359#121C23×C1314yes—
1360#121C23×C1314yes—
1361#121C23×C1314yes—
1362#121C23×C1314yes—
1363#121C23×C1314yes—
1364#121C23×C1314yes—
1365#121C23×C1314yes—
1366#121C23×C1314yes—
1367#121C23×C1314yes—
1368#121C23×C1314yes—
1369#121C23×C1314yes—
1370#121C23×C1314yes—
1371#121C23×C1314yes—
1372#121C23×C1314yes—
1373#121C23×C1314yes—
1374#121C23×C1314yes—
1375#121C23×C1314yes—
1376#121C23×C1314yes—
1377#121C23×C1314yes—
1378#120C23×C1314yes—
1379#120C23×C1314yes—
1380#120C23×C1314yes—
1381#120C23×C1314yes—
1382#120C23×C1314yes—
1383#120C23×C1314yes—
1384#120C23×C1314yes—
1385#120C23×C1314yes—
1386#120C23×C1314yes—
1387#120C23×C1314yes—
1388#120C23×C1314yes—
1389#120C23×C1314yes—
1390#120C23×C1314yes—
1391#120C23×C1314yes—
1392#120C23×C1314yes—
1393#120C23×C1314yes—
1394#120C23×C1314yes—
1395#120C23×C1314yes—
1396#120C23×C1314yes—
1397#120C23×C1314yes—
1398#120C23×C1314yes—
1399#120C23×C1314yes—
1400#120C23×C1314yes—
1401#120C23×C1314yes—
1402C4×Q8C23×C1312yes—
1403C4×Q8C23×C1312yes—
1404C4×Q8C23×C1312yes—
1405C4×Q8C23×C1312yes—
1406C4×Q8C23×C1312yes—
1407C4×Q8C23×C1314yes—
1408C4×Q8C23×C1314yes—
1409C4×Q8C23×C1314yes—
1410C4×Q8C23×C1312yes—
1411C4×D4C23×C1314yes—
1412C4×D4C23×C1314yes—
1413C4×D4C23×C1314yes—
1414C4×D4C23×C1314yes—
1415C4×D4C23×C1314yes—
1416C4×D4C23×C1314yes—
1417C4×D4C23×C1314yes—
1418C4×D4C23×C1314yes—
1419C4×D4C23×C1312yes—
1420C4×D4C23×C1312yes—
1421C4×D4C23×C1312yes—
1422C4×D4C23×C1314yes—
1423C4×D4C23×C1314yes—
1424C4×D4C23×C1314yes—
1425C4×D4C23×C1314yes—
1426C4×D4C23×C1314yes—
1427C4×D4C23×C1314yes—
1428C4×D4C23×C1314yes—
1429C4×D4C23×C1314yes—
1430C4×D4C23×C1314yes—
1431C4×D4C23×C1314yes—
1432C4×D4C23×C1314yes—
1433C4×D4C23×C1314yes—
1434C4×D4C23×C1312yes—
1435C4×D4C23×C1314yes—
1436C4×D4C23×C1312yes—
1437C4×D4C23×C1314yes—
1438C4×D4C23×C1312yes—
1439C4×D4C23×C1314yes—
1440C4×D4C23×C1314yes—
1441C4×D4C23×C1314yes—
1442C4×D4C23×C1314yes—
1443C4×D4C23×C1314yes—
1444C4×D4C23×C1314yes—
1445C4×D4C23×C1314yes—
1446C4×D4C23×C1314yes—
1447C4×D4C23×C1314yes—
1448C4×D4C23×C1312yes—
1449C4×D4C23×C1314yes—
1450C4×D4C23×C1314yes—
1451C4×D4C23×C1314yes—
1452C4×D4C23×C1314yes—
1453C4×D4C23×C1314yes—
1454C4×D4C23×C1314yes—
1455C4×D4C23×C1312yes—
1456C4×D4C23×C1314yes—
1457C4×D4C23×C1314yes—
1458C4×D4C23×C1314yes—
1459C4×D4C23×C1314yes—
1460#117C23×C1311yescharacteristic
1461#117C23×C1312yes—
1462#117C23×C1314yes—
1463#117C23×C1314yes—
1464#117C23×C1314yes—
1465#117C23×C1314yes—
1466#117C23×C1314yes—
1467#117C23×C1314yes—
1468#117C23×C1314yes—
1469#117C23×C1314yes—
1470#117C23×C1314yes—
1471#117C23×C1314yes—
1472#117C23×C1314yes—
1473#117C23×C1314yes—
1474#117C23×C1314yes—
1475#117C23×C1314yes—
1476#117C23×C1314yes—
1477C2×C4⋊C4C23×C1314yes—
1478C2×C4⋊C4C23×C1312yes—
1479C2×C4⋊C4C23×C1314yes—
1480C2×C4⋊C4C23×C1314yes—
1481C2×C4⋊C4C23×C1314yes—
1482C2×C4⋊C4C23×C1314yes—
1483C2×C4⋊C4C23×C1314yes—
1484C2×C4⋊C4C23×C1314yes—
1485C2×C22⋊C4C23×C1314yes—
1486C2×C22⋊C4C23×C1314yes—
1487C2×C22⋊C4C23×C1314yes—
1488C2×C22⋊C4C23×C1314yes—
1489C2×C22⋊C4C23×C1314yes—
1490C2×C22⋊C4C23×C1314yes—
1491C2×C22⋊C4C23×C1314yes—
1492C2×C22⋊C4C23×C1314yes—
1493C2×C22⋊C4C23×C1314yes—
1494C2×C22⋊C4C23×C1314yes—
1495C2×C22⋊C4C23×C1314yes—
1496C2×C22⋊C4C23×C1314yes—
1497C2×C22⋊C4C23×C1314yes—
1498C2×C22⋊C4C23×C1314yes—
1499C2×C42C23×C1314yes—
1500C2×C42C23×C1311yescharacteristic
1501C2×C42C23×C1312yes—
1502C2×C13—22no—
1503C2×C13—44no—
1504C2×C13—44no—
1505C2×C13—44no—
1506C2×C13—44no—
1507C2×C13—42no—
1508C2×C13C2×#58511yescharacteristic
1509C2×C13H(7,𝔽2)12yes—
1510C24C24×C1314yes—
1511C24C24×C1314yes—
1512C24C24×C1314yes—
1513C24C24×C1314yes—
1514#41—42no—
1515#41—44no—
1516#41—82no—
1517#41—84no—
1518#41—84no—
1519#41—84no—
1520#41—84no—
1521#41—82no—
1522C2×Q8—82no—
1523C2×Q8—82no—
1524C2×Q8C24×C1311yescharacteristic
1525C2×Q8C24×C1312yes—
1526C2×Q8C24×C1312yes—
1527C2×Q8C24×C1312yes—
1528C2×Q8C24×C1314yes—
1529C2×Q8C24×C1314yes—
1530C2×Q8C24×C1314yes—
1531C2×Q8C24×C1312yes—
1532C2×D4—48no—
1533C2×D4—48no—
1534C2×D4—48no—
1535C2×D4—84no—
1536C2×D4—84no—
1537C2×D4—84no—
1538C2×D4—82no—
1539C2×D4—82no—
1540C2×D4—84no—
1541C2×D4—84no—
1542C2×D4—84no—
1543C2×D4C24×C1314yes—
1544C2×D4C24×C1312yes—
1545C2×D4C24×C1314yes—
1546C2×D4C24×C1311yescharacteristic
1547C2×D4C24×C1312yes—
1548C2×D4C24×C1314yes—
1549C2×D4C24×C1314yes—
1550C2×D4C24×C1314yes—
1551C2×D4C24×C1314yes—
1552C2×D4C24×C1314yes—
1553C2×D4C24×C1314yes—
1554C2×D4C24×C1314yes—
1555C2×D4C24×C1312yes—
1556C2×D4C24×C1314yes—
1557C2×D4C24×C1314yes—
1558C2×D4C24×C1314yes—
1559C2×D4C24×C1314yes—
1560C2×D4C24×C1314yes—
1561C2×D4C24×C1314yes—
1562C2×D4C24×C1314yes—
1563C2×D4C24×C1314yes—
1564C2×D4C24×C1314yes—
1565C2×D4C24×C1314yes—
1566C2×D4C24×C1312yes—
1567C2×D4C24×C1312yes—
1568C2×D4C24×C1314yes—
1569C2×D4C24×C1314yes—
1570C2×D4C24×C1314yes—
1571C2×D4C24×C1314yes—
1572C2×D4C24×C1314yes—
1573C2×D4C24×C1314yes—
1574C2×D4C24×C1314yes—
1575C2×D4C24×C1314yes—
1576C2×D4C24×C1314yes—
1577C22×C4—84no—
1578C22×C4—84no—
1579C22×C4C24×C1311yescharacteristic
1580C22×C4C24×C1312yes—
1581C22×C4C24×C1312yes—
1582C22×C4C24×C1314yes—
1583C22×C4C24×C1312yes—
1584C22×C4C24×C1314yes—
1585C22×C4C24×C1312yes—
1586C22×C4C24×C1314yes—
1587C22×C4C24×C1314yes—
1588C22×C4C24×C1314yes—
1589C22×C4C24×C1314yes—
1590C22×C4C24×C1314yes—
1591C22×C4C24×C1314yes—
1592C22×C4C24×C1314yes—
1593C22×C4C24×C1314yes—
1594C22×C4C24×C1314yes—
1595C22×C4C24×C1314yes—
1596C22×C4C24×C1314yes—
1597C22×C4C24×C1314yes—
1598C22×C4C24×C1314yes—
1599C22×C4C24×C1314yes—
1600C22×C4C24×C1314yes—
1601C22×C4C24×C1314yes—
1602C22×C4C24×C1314yes—
1603C22×C4C24×C1314yes—
1604C22×C4C24×C1314yes—
1605C4⋊C4C24×C1312yes—
1606C4⋊C4C24×C1314yes—
1607C4⋊C4C24×C1314yes—
1608C4⋊C4C24×C1314yes—
1609C4⋊C4C24×C1314yes—
1610C4⋊C4C24×C1314yes—
1611C4⋊C4C24×C1314yes—
1612C4⋊C4C24×C1314yes—
1613C4⋊C4C24×C1314yes—
1614C4⋊C4C24×C1314yes—
1615C4⋊C4C24×C1314yes—
1616C4⋊C4C24×C1314yes—
1617C4⋊C4C24×C1314yes—
1618C4⋊C4C24×C1314yes—
1619C4⋊C4C24×C1314yes—
1620C4⋊C4C24×C1314yes—
1621C4⋊C4C24×C1314yes—
1622C4⋊C4C24×C1314yes—
1623C4⋊C4C24×C1314yes—
1624C4⋊C4C24×C1314yes—
1625C4⋊C4C24×C1314yes—
1626C4⋊C4C24×C1314yes—
1627C4⋊C4C24×C1314yes—
1628C4⋊C4C24×C1314yes—
1629C4⋊C4C24×C1312yes—
1630C4⋊C4C24×C1312yes—
1631C4⋊C4C24×C1312yes—
1632C4⋊C4C24×C1314yes—
1633C4⋊C4C24×C1314yes—
1634C4⋊C4C24×C1314yes—
1635C4⋊C4C24×C1314yes—
1636C4⋊C4C24×C1314yes—
1637C4⋊C4C24×C1314yes—
1638C4⋊C4C24×C1314yes—
1639C4⋊C4C24×C1312yes—
1640C4⋊C4C24×C1314yes—
1641C4⋊C4C24×C1314yes—
1642C4⋊C4C24×C1312yes—
1643C4⋊C4C24×C1314yes—
1644C4⋊C4C24×C1314yes—
1645C4⋊C4C24×C1312yes—
1646C22⋊C4C24×C1311yescharacteristic
1647C22⋊C4C24×C1314yes—
1648C22⋊C4C24×C1314yes—
1649C22⋊C4C24×C1314yes—
1650C22⋊C4C24×C1314yes—
1651C22⋊C4C24×C1312yes—
1652C22⋊C4C24×C1314yes—
1653C22⋊C4C24×C1314yes—
1654C22⋊C4C24×C1314yes—
1655C22⋊C4C24×C1314yes—
1656C22⋊C4C24×C1314yes—
1657C22⋊C4C24×C1314yes—
1658C22⋊C4C24×C1314yes—
1659C22⋊C4C24×C1314yes—
1660C22⋊C4C24×C1314yes—
1661C22⋊C4C24×C1314yes—
1662C22⋊C4C24×C1314yes—
1663C22⋊C4C24×C1314yes—
1664C22⋊C4C24×C1314yes—
1665C22⋊C4C24×C1314yes—
1666C22⋊C4C24×C1314yes—
1667C22⋊C4C24×C1314yes—
1668C22⋊C4C24×C1314yes—
1669C22⋊C4C24×C1314yes—
1670C22⋊C4C24×C1314yes—
1671C22⋊C4C24×C1314yes—
1672C22⋊C4C24×C1314yes—
1673C22⋊C4C24×C1314yes—
1674C22⋊C4C24×C1314yes—
1675C22⋊C4C24×C1314yes—
1676C22⋊C4C24×C1314yes—
1677C22⋊C4C24×C1314yes—
1678C22⋊C4C24×C1314yes—
1679C22⋊C4C24×C1314yes—
1680C22⋊C4C24×C1314yes—
1681C22⋊C4C24×C1314yes—
1682C22⋊C4C24×C1314yes—
1683C22⋊C4C24×C1314yes—
1684C22⋊C4C24×C1314yes—
1685C22⋊C4C24×C1314yes—
1686C22⋊C4C24×C1314yes—
1687C22⋊C4C24×C1314yes—
1688C22⋊C4C24×C1314yes—
1689C22⋊C4C24×C1311yescharacteristic
1690C22⋊C4C24×C1312yes—
1691C22⋊C4C24×C1314yes—
1692C22⋊C4C24×C1314yes—
1693C22⋊C4C24×C1314yes—
1694C22⋊C4C24×C1314yes—
1695C22⋊C4C24×C1314yes—
1696C22⋊C4C24×C1314yes—
1697C22⋊C4C24×C1314yes—
1698C22⋊C4C24×C1314yes—
1699C42C24×C1311yescharacteristic
1700C42C24×C1311yescharacteristic
1701C42C24×C1314yes—
1702C42C24×C1314yes—
1703C42C24×C1312yes—
1704C42C24×C1312yes—
1705C42C24×C1314yes—
1706C42C24×C1312yes—
1707C42C24×C1314yes—
1708C42C24×C1312yes—
1709C42C24×C1314yes—
1710C42C24×C1314yes—
1711C42C24×C1314yes—
1712C42C24×C1314yes—
1713C42C24×C1314yes—
1714C13#6305511yescharacteristic, direct product factor, Sylow
1715C23—28no—
1716C23—44no—
1717C23—44no—
1718C23—44no—
1719C23—44no—
1720C23—44no—
1721C23—44no—
1722C23—44no—
1723C23—44no—
1724C23—44no—
1725C23—44no—
1726C23—44no—
1727C23C25×C1314yes—
1728C23C25×C1314yes—
1729C23C25×C1314yes—
1730C23C25×C1312yes—
1731C23C25×C1314yes—
1732C23C25×C1311yescharacteristic
1733Q8—42no—
1734Q8—42no—
1735Q8—44no—
1736Q8—44no—
1737Q8—42no—
1738Q8—41no—
1739Q8—42no—
1740Q8—44no—
1741D4—28no—
1742D4—28no—
1743D4—24no—
1744D4—44no—
1745D4—44no—
1746D4—44no—
1747D4—44no—
1748D4—44no—
1749D4—44no—
1750D4—44no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—44no—
1756D4—44no—
1757D4—44no—
1758D4—42no—
1759D4—44no—
1760D4—44no—
1761D4—44no—
1762D4—44no—
1763D4—44no—
1764D4—44no—
1765D4—44no—
1766D4—44no—
1767D4—42no—
1768D4—44no—
1769D4—42no—
1770D4—44no—
1771D4—41no—
1772D4—42no—
1773D4—44no—
1774D4—44no—
1775C2×C4—22no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—44no—
1787C2×C4—44no—
1788C2×C4—44no—
1789C2×C4—44no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—44no—
1793C2×C4—44no—
1794C2×C4—44no—
1795C2×C4—44no—
1796C2×C4—44no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4C25×C1312yes—
1802C2×C4C25×C1311yescharacteristic
1803C2×C4C25×C1314yes—
1804C2×C4C25×C1312yes—
1805C2×C4C25×C1312yes—
1806C2×C4C25×C1314yes—
1807C2×C4C25×C1314yes—
1808C2×C4C25×C1312yes—
1809C2×C4C25×C1312yes—
1810C2×C4C25×C1311yescharacteristic
1811C2×C4C25×C1314yes—
1812C2×C4C25×C1314yes—
1813C2×C4C25×C1314yes—
1814C2×C4C25×C1314yes—
1815C2×C4C25×C1314yes—
1816C22—22no—
1817C22—24no—
1818C22—24no—
1819C22—22no—
1820C22—24no—
1821C22—24no—
1822C22—24no—
1823C22—24no—
1824C22—22no—
1825C22—24no—
1826C22—24no—
1827C22—24no—
1828C22—24no—
1829C22—24no—
1830C22—22no—
1831C22—24no—
1832C22—88no—
1833C22—88no—
1834C22—164no—
1835C22—164no—
1836C22C13×#58512yes—
1837C22C26×C1311yescharacteristic
1838C4—21no—
1839C4—21no—
1840C4—24no—
1841C4—22no—
1842C4—24no—
1843C4—22no—
1844C4—24no—
1845C4—24no—
1846C4—24no—
1847C4—24no—
1848C4—24no—
1849C4—22no—
1850C4—22no—
1851C4—22no—
1852C4—24no—
1853C2—22no—
1854C2—44no—
1855C2—44no—
1856C2—44no—
1857C2—44no—
1858C2—42no—
1859C2C2×C13×#58511yescharacteristic
1860C2C13×H(7,𝔽2)12yes—
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×#3567C2semidirect
2. C13×#3566C2semidirect
3. C13×#3566C2semidirect
4. C13×#3562C2semidirect
5. C13×#3558C2semidirect
6. C13×#3558C2semidirect
7. C13×#3553C2semidirect
8. C13×#3545C2semidirect
9. C13×#3542C2semidirect
10. C13×#3541C2semidirect
11. C13×#3537C2semidirect
12. C13×#3534C2semidirect
13. C13×#3534C2semidirect
14. C13×#3533C2semidirect
15. C13×#3529C2semidirect
16. C2×C13×#562C2semidirect
17. C13×#3519C2semidirect
18. C13×#3514C2semidirect
19. C13×#3513C2semidirect
20. C13×#3512C2semidirect
21. C13×#3505C2semidirect
22. C13×#564C22semidirect
23. C13×#563C22semidirect
24. C13×#563C22semidirect
25. C13×#563C22semidirect
26. C13×#562C22semidirect
27. C13×#562C22semidirect
28. C13×#562C22semidirect
29. C13×#562C22semidirect
30. C13×#562C22semidirect
31. C13×#562C22semidirect
32. C13×#562C22semidirect
33. C13×#562C22semidirect
34. C13×#562C22semidirect
35. C13×#562C22semidirect
36. C13×#562C22semidirect
37. C13×#562C22semidirect
38. C13×#562C22semidirect
39. C13×H(3,𝔽4)C22semidirect
40. C13×H(3,𝔽4)C22semidirect
41. C13×#560C22semidirect
42. C13×#560C22semidirect
43. C13×#560C22semidirect
44. C13×#560C22semidirect
45. C13×#560C22semidirect
46. C13×#560C22semidirect
47. C13×#559C22semidirect
48. C13×#559C22semidirect
49. C13×#559C22semidirect
50. C13×#556C22semidirect
51. C13×#556C22semidirect
52. C13×#555C22semidirect
53. C13×#555C22semidirect
54. C13×#554C22semidirect
55. C13×#554C22semidirect
56. C13×#553C22semidirect
57. C13×#553C22semidirect
58. C13×#553C22semidirect
59. C13×#553C22semidirect
60. C13×#553C22semidirect
61. C13×#553C22semidirect
62. C13×#553C22semidirect
63. C13×#553C22semidirect
64. C13×#553C22semidirect
65. C13×#553C22semidirect
66. C13×#553C22semidirect
67. C13×#553C22semidirect
68. C13×#553C22semidirect
69. C13×#553C22semidirect
70. C13×#552C22semidirect
71. C13×#552C22semidirect
72. C13×#552C22semidirect
73. C13×#552C22semidirect
74. C13×#552C22semidirect
75. C13×#552C22semidirect
76. C13×#551C22semidirect
77. C13×#551C22semidirect
78. C13×#551C22semidirect
79. C13×#551C22semidirect
80. C13×#551C22semidirect
81. C13×#551C22semidirect
82. C13×#551C22semidirect
83. C13×#551C22semidirect
84. C13×#551C22semidirect
85. C13×#551C22semidirect
86. C13×#550C22semidirect
87. D4×Q8×C13C22semidirect
88. C13×#548C22semidirect
89. C13×#548C22semidirect
90. C13×#548C22semidirect
91. C13×#548C22semidirect
92. C13×#547C22semidirect
93. C13×#547C22semidirect
94. C13×#546C22semidirect
95. C13×#546C22semidirect
96. C13×#546C22semidirect
97. C13×#546C22semidirect
98. C13×#546C22semidirect
99. C13×#546C22semidirect
100. C13×#546C22semidirect
101. C13×#546C22semidirect
102. C13×#546C22semidirect
103. C13×#546C22semidirect
104. C13×#546C22semidirect
105. C13×#546C22semidirect
106. C13×#546C22semidirect
107. C13×#546C22semidirect
108. C13×#546C22semidirect
109. D42×C13C22semidirect
110. D42×C13C22semidirect
111. D42×C13C22semidirect
112. D42×C13C22semidirect
113. D42×C13C22semidirect
114. D42×C13C22semidirect
115. D42×C13C22semidirect
116. C13×#542C22semidirect
117. C13×#542C22semidirect
118. C13×#542C22semidirect
119. C13×#542C22semidirect
120. C13×#542C22semidirect
121. C13×#542C22semidirect
122. C13×#541C22semidirect
123. C13×#541C22semidirect
124. C13×#541C22semidirect
125. C13×#540C22semidirect
126. C13×#540C22semidirect
127. C13×#540C22semidirect
128. C13×#540C22semidirect
129. C13×#540C22semidirect
130. C13×#540C22semidirect
131. C13×#540C22semidirect
132. C13×#540C22semidirect
133. C13×#539C22semidirect
134. C13×#539C22semidirect
135. C13×#539C22semidirect
136. C13×#539C22semidirect
137. C13×#539C22semidirect
138. C13×#539C22semidirect
139. C13×#539C22semidirect
140. C13×#539C22semidirect
141. C13×#539C22semidirect
142. C13×#538C22semidirect
143. C13×#538C22semidirect
144. C13×#538C22semidirect
145. C13×#538C22semidirect
146. C13×#538C22semidirect
147. C13×#538C22semidirect
148. C13×#538C22semidirect
149. C13×#538C22semidirect
150. C13×#538C22semidirect
151. C13×#538C22semidirect
152. C13×#538C22semidirect
153. C13×#538C22semidirect
154. C13×#538C22semidirect
155. C13×#538C22semidirect
156. C13×#538C22semidirect
157. C13×#538C22semidirect
158. C13×#537C22semidirect
159. C13×#537C22semidirect
160. C13×#536C22semidirect
161. C13×#535C22semidirect
162. C13×#535C22semidirect
163. C13×#535C22semidirect
164. C13×#534C22semidirect
165. C13×#534C22semidirect
166. C13×#534C22semidirect
167. C13×#534C22semidirect
168. C13×#534C22semidirect
169. C13×#534C22semidirect
170. C13×#532C22semidirect
171. C13×#532C22semidirect
172. C13×#532C22semidirect
173. C13×#529C22semidirect
174. C13×#529C22semidirect
175. C13×#529C22semidirect
176. C13×#529C22semidirect
177. C13×#529C22semidirect
178. C13×#529C22semidirect
179. C13×#529C22semidirect
180. C13×#529C22semidirect
181. C13×#529C22semidirect
182. C13×#529C22semidirect
183. C2×C13×#125C22semidirect
184. C2×C13×#124C22semidirect
185. C2×C13×#124C22semidirect
186. C13×#525C22semidirect
187. C13×#525C22semidirect
188. C13×#525C22semidirect
189. C13×#525C22semidirect
190. C13×#525C22semidirect
191. C13×#525C22semidirect
192. C2×C13×#123C22semidirect
193. C2×C13×#123C22semidirect
194. C2×C13×C22⋊Q8C22semidirect
195. C2×C13×#121C22semidirect
196. C2×C13×#121C22semidirect
197. C2×C13×#121C22semidirect
198. C13×#520C22semidirect
199. C13×#518C22semidirect
200. C13×#518C22semidirect
201. C4×C13×#41C22semidirect
202. C2×C4×D4×C13C22semidirect
580. #63055C13direct (N × H)
785. #3567C2×C13semidirect
786. #3566C2×C13semidirect
787. #3566C2×C13semidirect
788. #3562C2×C13semidirect
789. #3558C2×C13semidirect
790. #3558C2×C13semidirect
791. #3553C2×C13semidirect
792. #3545C2×C13semidirect
793. #3542C2×C13semidirect
794. #3541C2×C13semidirect
795. #3537C2×C13semidirect
796. #3534C2×C13semidirect
797. #3534C2×C13semidirect
798. #3533C2×C13semidirect
799. #3529C2×C13semidirect
800. C2×#562C2×C13semidirect
801. #3519C2×C13semidirect
802. #3514C2×C13semidirect
803. #3513C2×C13semidirect
804. #3512C2×C13semidirect
805. #3505C2×C13semidirect
907. #564C22×C13semidirect
908. #563C22×C13semidirect
909. #563C22×C13semidirect
910. #563C22×C13semidirect
911. #562C22×C13semidirect
912. #562C22×C13semidirect
913. #562C22×C13semidirect
914. #562C22×C13semidirect
915. #562C22×C13semidirect
916. #562C22×C13semidirect
917. #562C22×C13semidirect
918. #562C22×C13semidirect
919. #562C22×C13semidirect
920. #562C22×C13semidirect
921. #562C22×C13semidirect
922. #562C22×C13semidirect
923. #562C22×C13semidirect
924. H(3,𝔽4)C22×C13semidirect
925. H(3,𝔽4)C22×C13semidirect
926. #560C22×C13semidirect
927. #560C22×C13semidirect
928. #560C22×C13semidirect
929. #560C22×C13semidirect
930. #560C22×C13semidirect
931. #560C22×C13semidirect
932. #559C22×C13semidirect
933. #559C22×C13semidirect
934. #559C22×C13semidirect
935. #556C22×C13semidirect
936. #556C22×C13semidirect
937. #555C22×C13semidirect
938. #555C22×C13semidirect
939. #554C22×C13semidirect
940. #554C22×C13semidirect
941. #553C22×C13semidirect
942. #553C22×C13semidirect
943. #553C22×C13semidirect
944. #553C22×C13semidirect
945. #553C22×C13semidirect
946. #553C22×C13semidirect
947. #553C22×C13semidirect
948. #553C22×C13semidirect
949. #553C22×C13semidirect
950. #553C22×C13semidirect
951. #553C22×C13semidirect
952. #553C22×C13semidirect
953. #553C22×C13semidirect
954. #553C22×C13semidirect
955. #552C22×C13semidirect
956. #552C22×C13semidirect
957. #552C22×C13semidirect
958. #552C22×C13semidirect
959. #552C22×C13semidirect
960. #552C22×C13semidirect
961. #551C22×C13semidirect
962. #551C22×C13semidirect
963. #551C22×C13semidirect
964. #551C22×C13semidirect
965. #551C22×C13semidirect
966. #551C22×C13semidirect
967. #551C22×C13semidirect
968. #551C22×C13semidirect
969. #551C22×C13semidirect
970. #551C22×C13semidirect
971. #550C22×C13semidirect
972. D4×Q8C22×C13semidirect
973. #548C22×C13semidirect
974. #548C22×C13semidirect
975. #548C22×C13semidirect
976. #548C22×C13semidirect
977. #547C22×C13semidirect
978. #547C22×C13semidirect
979. #546C22×C13semidirect
980. #546C22×C13semidirect
981. #546C22×C13semidirect
982. #546C22×C13semidirect
983. #546C22×C13semidirect
984. #546C22×C13semidirect
985. #546C22×C13semidirect
986. #546C22×C13semidirect
987. #546C22×C13semidirect
988. #546C22×C13semidirect
989. #546C22×C13semidirect
990. #546C22×C13semidirect
991. #546C22×C13semidirect
992. #546C22×C13semidirect
993. #546C22×C13semidirect
994. D42C22×C13semidirect
995. D42C22×C13semidirect
996. D42C22×C13semidirect
997. D42C22×C13semidirect
998. D42C22×C13semidirect
999. D42C22×C13semidirect
1000. D42C22×C13semidirect
1001. #542C22×C13semidirect
1002. #542C22×C13semidirect
1003. #542C22×C13semidirect
1004. #542C22×C13semidirect
1005. #542C22×C13semidirect
1006. #542C22×C13semidirect
1007. #541C22×C13semidirect
1008. #541C22×C13semidirect
1009. #541C22×C13semidirect
1010. #540C22×C13semidirect
1011. #540C22×C13semidirect
1012. #540C22×C13semidirect
1013. #540C22×C13semidirect
1014. #540C22×C13semidirect
1015. #540C22×C13semidirect
1016. #540C22×C13semidirect
1017. #540C22×C13semidirect
1018. #539C22×C13semidirect
1019. #539C22×C13semidirect
1020. #539C22×C13semidirect
1021. #539C22×C13semidirect
1022. #539C22×C13semidirect
1023. #539C22×C13semidirect
1024. #539C22×C13semidirect
1025. #539C22×C13semidirect
1026. #539C22×C13semidirect
1027. #538C22×C13semidirect
1028. #538C22×C13semidirect
1029. #538C22×C13semidirect
1030. #538C22×C13semidirect
1031. #538C22×C13semidirect
1032. #538C22×C13semidirect
1033. #538C22×C13semidirect
1034. #538C22×C13semidirect
1035. #538C22×C13semidirect
1036. #538C22×C13semidirect
1037. #538C22×C13semidirect
1038. #538C22×C13semidirect
1039. #538C22×C13semidirect
1040. #538C22×C13semidirect
1041. #538C22×C13semidirect
1042. #538C22×C13semidirect
1043. #537C22×C13semidirect
1044. #537C22×C13semidirect
1045. #536C22×C13semidirect
1046. #535C22×C13semidirect
1047. #535C22×C13semidirect
1048. #535C22×C13semidirect
1049. #534C22×C13semidirect
1050. #534C22×C13semidirect
1051. #534C22×C13semidirect
1052. #534C22×C13semidirect
1053. #534C22×C13semidirect
1054. #534C22×C13semidirect
1055. #532C22×C13semidirect
1056. #532C22×C13semidirect
1057. #532C22×C13semidirect
1058. #529C22×C13semidirect
1059. #529C22×C13semidirect
1060. #529C22×C13semidirect
1061. #529C22×C13semidirect
1062. #529C22×C13semidirect
1063. #529C22×C13semidirect
1064. #529C22×C13semidirect
1065. #529C22×C13semidirect
1066. #529C22×C13semidirect
1067. #529C22×C13semidirect
1068. C2×#125C22×C13semidirect
1069. C2×#124C22×C13semidirect
1070. C2×#124C22×C13semidirect
1071. #525C22×C13semidirect
1072. #525C22×C13semidirect
1073. #525C22×C13semidirect
1074. #525C22×C13semidirect
1075. #525C22×C13semidirect
1076. #525C22×C13semidirect
1077. C2×#123C22×C13semidirect
1078. C2×#123C22×C13semidirect
1079. C2×C22⋊Q8C22×C13semidirect
1080. C2×#121C22×C13semidirect
1081. C2×#121C22×C13semidirect
1082. C2×#121C22×C13semidirect
1083. #520C22×C13semidirect
1084. #518C22×C13semidirect
1085. #518C22×C13semidirect
1086. C4×#41C22×C13semidirect
1087. C2×C4×D4C22×C13semidirect
1714. C13#63055direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35672
C13×#35662
C13×#35622
C13×#35582
C13×#35532
C13×#35452
C13×#35422
C13×#35412
C13×#35372
C13×#35342
C13×#35332
C13×#35292
C2×C13×#5622
C13×#35192
C13×#35142
C13×#35132
C13×#35122
C13×#35052
#6305513