Finite Group Databasebeta

← C13×#63062 #15749401

Subgroups — C13×#63062 #15749401

Order 3328.

6276 conjugacy classes of subgroups.

The subgroup lattice has 2184 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×#3565C214yesmaximal, complemented
5C13×#3564C214yesmaximal, complemented
6C13×#3564C214yesmaximal, complemented
7C13×#3563C212yesmaximal, complemented
8C13×#3562C212yesmaximal, complemented
9C13×#3561C211yesmaximal, characteristic, complemented
10C13×#3561C211yesmaximal, characteristic, complemented
11C13×#3557C214yesmaximal, complemented
12C13×#3557C212yesmaximal, complemented
13C13×#3556C211yesmaximal, characteristic, complemented
14C13×#3555C212yesmaximal, complemented
15C13×#3554C212yesmaximal, complemented
16C13×#3553C212yesmaximal, complemented
17C13×#3552C212yesmaximal, complemented
18C13×#3552C212yesmaximal, complemented
19C13×#3531C211yesmaximal, characteristic, complemented
20C13×#3531C212yesmaximal, complemented
21C13×#3524C212yesmaximal, complemented
22C13×#3523C212yesmaximal, complemented
23C13×#3521C212yesmaximal, complemented
24C13×#3518C211yesmaximal, characteristic, complemented
25C13×#3516C212yesmaximal, complemented
26C13×#3515C211yesmaximal, characteristic, complemented
27C13×#3510C211yesmaximal, characteristic, complemented
28C13×#3509C212yesmaximal, complemented
29C13×#3507C212yesmaximal, complemented
30C13×#564C2212yescomplemented
31C13×#564C2211yescharacteristic, complemented
32C13×#564C2212yescomplemented
33C13×#563C2212yes—
34C13×#563C2212yes—
35C13×#563C2212yes—
36C13×#563C2214yes—
37C13×#563C2212yes—
38C13×#563C2211yescharacteristic, complemented
39C13×#563C2214yescomplemented
40C13×#563C2214yescomplemented
41C13×#563C2211yescharacteristic, complemented
42C13×#563C2214yescomplemented
43C13×#563C2212yescomplemented
44C13×#563C2214yescomplemented
45C13×#563C2212yescomplemented
46C13×#563C2214yescomplemented
47C13×#563C2214yescomplemented
48C13×#563C2214yescomplemented
49C13×#562C2212yes—
50C13×#562C2214yes—
51C13×#562C2212yes—
52C13×#562C2212yes—
53C13×#562C2212yes—
54C13×#562C2214yescomplemented
55C13×#562C2211yescharacteristic, complemented
56C13×#562C2214yescomplemented
57C13×#560C2214yes—
58C13×#559C2212yes—
59C13×#559C2212yes—
60C13×#559C2212yes—
61C13×#559C2214yescomplemented
62C13×#559C2214yescomplemented
63Q82×C13C2211yescharacteristic, complemented
64C13×#557C2212yescomplemented
65C13×#557C2214yescomplemented
66C13×#557C2212yescomplemented
67C13×#557C2212yescomplemented
68C13×#557C2212yescomplemented
69C13×#557C2212yescomplemented
70C13×#557C2212yescomplemented
71C13×#557C2212yescomplemented
72C13×#557C2212yescomplemented
73C13×#557C2212yescomplemented
74C13×#557C2211yescharacteristic, complemented
75C13×#556C2212yes—
76C13×#556C2212yes—
77C13×#556C2212yes—
78C13×#556C2214yes—
79C13×#556C2212yes—
80C13×#556C2212yes—
81C13×#556C2212yes—
82C13×#556C2212yes—
83C13×#556C2212yes—
84C13×#556C2214yescomplemented
85C13×#556C2211yescharacteristic, complemented
86C13×#556C2212yescomplemented
87C13×#556C2214yescomplemented
88C13×#556C2214yescomplemented
89C13×#556C2214yescomplemented
90C13×#555C2212yes—
91C13×#555C2211yescharacteristic, complemented
92C13×#555C2214yescomplemented
93C13×#554C2212yes—
94C13×#554C2214yescomplemented
95C13×#554C2214yescomplemented
96C13×#554C2214yescomplemented
97C13×#554C2214yescomplemented
98C13×#554C2211yescharacteristic, complemented
99C13×#554C2214yescomplemented
100C13×#554C2211yescharacteristic, complemented
101C13×#553C2212yes—
102C13×#553C2214yes—
103C13×#553C2214yes—
104C13×#553C2214yes—
105C13×#553C2212yes—
106C13×#553C2214yescomplemented
107C13×#553C2214yescomplemented
108C13×#553C2214yescomplemented
109C13×#552C2212yes—
110C13×#552C2214yes—
111C13×#552C2214yes—
112C13×#552C2212yes—
113C13×#552C2212yescomplemented
114C13×#552C2214yescomplemented
115C13×#552C2214yescomplemented
116C13×#552C2214yescomplemented
117C13×#552C2214yescomplemented
118C13×#552C2214yescomplemented
119C13×#552C2214yescomplemented
120C13×#552C2214yescomplemented
121C13×#552C2214yescomplemented
122C13×#552C2214yescomplemented
123C13×#552C2214yescomplemented
124C13×#552C2214yescomplemented
125C13×#552C2214yescomplemented
126C13×#552C2214yescomplemented
127C13×#551C2214yes—
128C13×#551C2214yes—
129C13×#551C2214yes—
130C13×#551C2214yes—
131C13×#551C2214yes—
132C13×#551C2214yes—
133C13×#551C2214yes—
134C13×#550C2212yes—
135D4×Q8×C13C2212yes—
136D4×Q8×C13C2212yes—
137D4×Q8×C13C2211yescharacteristic, complemented
138D4×Q8×C13C2212yescomplemented
139D4×Q8×C13C2212yescomplemented
140C13×#548C2212yes—
141C13×#548C2212yes—
142C13×#548C2212yes—
143C13×#548C2212yes—
144C13×#548C2212yescomplemented
145C13×#547C2212yes—
146C13×#547C2212yes—
147C13×#547C2211yescharacteristic, complemented
148C13×#546C2212yes—
149C13×#546C2212yes—
150C13×#544C2214yescomplemented
151C13×#544C2214yescomplemented
152C13×#544C2214yescomplemented
153C13×#543C2212yes—
154C13×#543C2212yes—
155C13×#542C2214yes—
156C13×#542C2212yes—
157C13×#542C2212yes—
158C13×#542C2214yes—
159C13×#542C2212yes—
160C13×#542C2214yes—
161C13×#542C2214yes—
162C13×#542C2212yes—
163C13×#542C2212yes—
164C13×#542C2212yescomplemented
165C13×#542C2214yescomplemented
166C13×#542C2214yescomplemented
167C13×#542C2214yescomplemented
168C13×#542C2214yescomplemented
169C13×#542C2214yescomplemented
170C13×#542C2214yescomplemented
171C13×#541C2212yes—
172C13×#541C2212yes—
173C13×#541C2214yes—
174C13×#541C2214yes—
175C13×#541C2214yes—
176C13×#541C2212yescomplemented
177C13×#541C2214yescomplemented
178C13×#541C2212yescomplemented
179C13×#541C2212yescomplemented
180C13×#541C2214yescomplemented
181C13×#541C2214yescomplemented
182C13×#541C2214yescomplemented
183C13×#541C2214yescomplemented
184C13×#541C2214yescomplemented
185C13×#541C2214yescomplemented
186C13×#540C2212yes—
187C13×#540C2214yes—
188C13×#540C2214yescomplemented
189C13×#540C2214yescomplemented
190C13×#539C2214yes—
191C13×#539C2214yes—
192C13×#539C2214yes—
193C13×#539C2214yes—
194C13×#539C2214yescomplemented
195C13×#539C2214yescomplemented
196C13×#539C2214yescomplemented
197C13×#539C2214yescomplemented
198C13×#539C2214yescomplemented
199C13×#539C2214yescomplemented
200C13×#539C2214yescomplemented
201C13×#539C2214yescomplemented
202C13×#539C2214yescomplemented
203C13×#538C2214yes—
204C13×#538C2212yes—
205C13×#538C2212yes—
206C13×#538C2214yes—
207C13×#538C2214yes—
208C13×#536C2211yescharacteristic
209C13×#536C2212yes—
210C13×#536C2212yes—
211C13×#536C2212yes—
212C13×#536C2212yescomplemented
213C13×#535C2211yescharacteristic
214C13×#533C2211yescharacteristic
215C13×#533C2211yescharacteristic
216C13×#533C2211yescharacteristic
217C13×#533C2212yescomplemented
218C13×#533C2214yescomplemented
219C13×#533C2212yescomplemented
220C13×#533C2212yescomplemented
221C13×#533C2212yescomplemented
222C13×#533C2214yescomplemented
223C13×#533C2214yescomplemented
224C13×#532C2212yes—
225C2×C13×C4⋊Q8C2212yescomplemented
226C13×#529C2211yescharacteristic
227C13×#529C2212yes—
228C13×#529C2214yes—
229C13×#529C2212yes—
230C13×#529C2212yes—
231C13×#529C2214yes—
232C13×#529C2212yes—
233C13×#529C2211yescharacteristic
234C13×#529C2212yes—
235C13×#529C2212yes—
236C13×#529C2212yescomplemented
237C13×#529C2212yescomplemented
238C13×#529C2214yescomplemented
239C13×#529C2212yescomplemented
240C13×#529C2214yescomplemented
241C13×#529C2212yescomplemented
242C13×#529C2214yescomplemented
243C13×#529C2214yescomplemented
244C13×#529C2212yescomplemented
245C13×#529C2214yescomplemented
246C13×#529C2214yescomplemented
247C2×C13×#126C2214yes—
248C2×C13×#125C2212yescomplemented
249C2×C13×#124C2211yescharacteristic
250C13×#520C2212yes—
251C13×#520C2212yescomplemented
252C13×#519C2211yescharacteristic
253C13×#519C2212yescomplemented
254C13×#519C2212yescomplemented
255C13×#518C2211yescharacteristic
256C4×C13×#41C2211yescharacteristic
257C4×C13×#41C2212yes—
258C2×C4×Q8×C13C2212yescomplemented
259C2×C13×#41C2311yescharacteristic
260C2×C13×#41C2312yes—
261C2×C13×#41C2312yes—
262C2×C13×#41C2312yes—
263C22×Q8×C13C2312yes—
264C22×Q8×C13C2311yescharacteristic
265C22×Q8×C13C2312yes—
266C22×Q8×C13C2312yes—
267C22×D4×C13C2311yescharacteristic
268C13×C4⋊Q8C2314yes—
269C13×C4⋊Q8C2312yes—
270C13×C4⋊Q8C2312yes—
271C13×C4⋊Q8C2312yes—
272C13×C4⋊Q8C2312yes—
273C13×C4⋊Q8C2314yes—
274C13×C4⋊Q8C2312yes—
275C13×C4⋊Q8C2311yescharacteristic
276C13×C4⋊Q8C2311yescharacteristic
277C13×C4⋊Q8C2311yescharacteristic
278C13×C4⋊Q8C2311yescharacteristic
279C13×C4⋊Q8C2311yescharacteristic
280C13×C4⋊Q8C2311yescharacteristic
281C13×C4⋊Q8C2312yes—
282C13×C4⋊Q8C2312yes—
283C13×C4⋊Q8C2312yes—
284C13×C4⋊Q8C2312yes—
285C13×C4⋊Q8C2312yes—
286C13×C4⋊Q8C2312yes—
287C13×C4⋊Q8C2314yes—
288C13×C4⋊Q8C2314yes—
289C13×C4⋊Q8C2312yes—
290C13×C4⋊Q8C2312yes—
291C13×C4⋊Q8C2314yes—
292C13×C4⋊Q8C2314yes—
293C13×C4⋊Q8C2314yes—
294C13×C4⋊Q8C2314yes—
295C13×C4⋊Q8C2314yes—
296C13×C4⋊Q8C2314yes—
297C13×#127C2312yes—
298C13×#127C2314yes—
299C13×#126C2312yes—
300C13×#126C2314yes—
301C13×#126C2314yes—
302C13×#126C2314yes—
303C13×#126C2314yes—
304C13×#126C2314yes—
305C13×#126C2314yes—
306C13×#126C2314yes—
307C13×#126C2312yes—
308C13×#126C2314yes—
309C13×#126C2314yes—
310C13×#126C2314yes—
311C13×#126C2314yes—
312C13×#126C2312yes—
313C13×#126C2314yes—
314C13×#126C2312yes—
315C13×#126C2312yes—
316C13×#126C2312yes—
317C13×#126C2312yes—
318C13×#126C2312yes—
319C13×#126C2314yes—
320C13×#126C2314yes—
321C13×#126C2314yes—
322C13×#126C2314yes—
323C13×#126C2314yes—
324C13×#126C2314yes—
325C13×#126C2312yes—
326C13×#126C2312yes—
327C13×#126C2314yes—
328C13×#126C2314yes—
329C13×#126C2314yes—
330C13×#126C2314yes—
331C13×#126C2314yes—
332C13×#126C2314yes—
333C13×#126C2314yes—
334C13×#126C2314yes—
335C13×#126C2314yes—
336C13×#126C2314yes—
337C13×#126C2314yes—
338C13×#126C2314yes—
339C13×#126C2314yes—
340C13×#126C2314yes—
341C13×#126C2314yes—
342C13×#126C2314yes—
343C13×#126C2314yes—
344C13×#126C2314yes—
345C13×#126C2314yes—
346C13×#125C2311yescharacteristic
347C13×#125C2312yes—
348C13×#125C2314yes—
349C13×#125C2314yes—
350C13×#125C2312yes—
351C13×#125C2312yes—
352C13×#125C2311yescharacteristic
353C13×#125C2311yescharacteristic
354C13×#125C2311yescharacteristic
355C13×#125C2312yes—
356C13×#125C2314yes—
357C13×#125C2314yes—
358C13×#125C2312yes—
359C13×#125C2312yes—
360C13×#125C2312yes—
361C13×#125C2312yes—
362C13×#125C2314yes—
363C13×#125C2314yes—
364C13×#125C2314yes—
365C13×#125C2314yes—
366C13×#125C2312yes—
367C13×#125C2314yes—
368C13×#125C2314yes—
369C13×#125C2312yes—
370C13×#125C2312yes—
371C13×#125C2314yes—
372C13×#125C2314yes—
373C13×#125C2314yes—
374C13×#125C2314yes—
375C13×#125C2314yes—
376C13×#125C2314yes—
377C13×#125C2314yes—
378C13×#125C2312yes—
379C13×#125C2312yes—
380C13×#125C2312yes—
381C13×#125C2312yes—
382C13×#125C2314yes—
383C13×#125C2314yes—
384C13×#125C2314yes—
385C13×#125C2314yes—
386C13×#125C2314yes—
387C13×#125C2314yes—
388C13×#125C2314yes—
389C13×#125C2314yes—
390C13×#125C2314yes—
391C13×#125C2314yes—
392C13×#125C2314yes—
393C13×#125C2314yes—
394C13×#125C2314yes—
395C13×#125C2314yes—
396C13×#125C2314yes—
397C13×#124C2312yes—
398C13×#124C2312yes—
399C13×#124C2312yes—
400C13×#124C2312yes—
401C13×#124C2311yescharacteristic
402C13×#124C2311yescharacteristic
403C13×#124C2312yes—
404C13×#124C2312yes—
405C13×#124C2312yes—
406C13×#124C2314yes—
407C13×#124C2314yes—
408C13×#124C2312yes—
409C13×#124C2312yes—
410C13×#124C2314yes—
411C13×#124C2314yes—
412C13×#124C2314yes—
413C13×#124C2314yes—
414C13×#124C2314yes—
415C13×#124C2314yes—
416C13×#124C2312yes—
417C13×#124C2312yes—
418C13×#124C2312yes—
419C13×#124C2312yes—
420C13×#124C2314yes—
421C13×#124C2314yes—
422C13×#124C2314yes—
423C13×#124C2314yes—
424C13×#124C2314yes—
425C13×#124C2314yes—
426C13×#123C2314yes—
427C13×#123C2312yes—
428C13×#123C2314yes—
429C13×#123C2314yes—
430C13×#123C2312yes—
431C13×#123C2312yes—
432C13×#123C2314yes—
433C13×#123C2314yes—
434C13×#123C2312yes—
435C13×#123C2314yes—
436C13×#123C2314yes—
437C13×#123C2312yes—
438C13×#123C2314yes—
439C13×#123C2312yes—
440C13×#123C2312yes—
441C13×#123C2312yes—
442C13×#123C2314yes—
443C13×#123C2314yes—
444C13×#123C2314yes—
445C13×#123C2314yes—
446C13×#123C2314yes—
447C13×#123C2314yes—
448C13×#123C2314yes—
449C13×#123C2312yes—
450C13×#123C2312yes—
451C13×#123C2314yes—
452C13×#123C2314yes—
453C13×#123C2314yes—
454C13×#123C2314yes—
455C13×#123C2314yes—
456C13×#123C2314yes—
457C13×#123C2314yes—
458C13×#123C2314yes—
459C13×#123C2314yes—
460C13×#123C2314yes—
461C13×#123C2314yes—
462C13×#123C2314yes—
463C13×#123C2314yes—
464C13×#123C2314yes—
465C13×#123C2314yes—
466C13×#123C2314yes—
467C13×#123C2314yes—
468C13×#123C2314yes—
469C13×#123C2314yes—
470C13×C22⋊Q8C2312yes—
471C13×C22⋊Q8C2314yes—
472C13×C22⋊Q8C2312yes—
473C13×C22⋊Q8C2312yes—
474C13×C22⋊Q8C2312yes—
475C13×C22⋊Q8C2312yes—
476C13×C22⋊Q8C2312yes—
477C13×C22⋊Q8C2314yes—
478C13×C22⋊Q8C2311yescharacteristic
479C13×C22⋊Q8C2311yescharacteristic
480C13×C22⋊Q8C2312yes—
481C13×C22⋊Q8C2312yes—
482C13×C22⋊Q8C2314yes—
483C13×C22⋊Q8C2312yes—
484C13×C22⋊Q8C2312yes—
485C13×C22⋊Q8C2314yes—
486C13×C22⋊Q8C2314yes—
487C13×C22⋊Q8C2312yes—
488C13×C22⋊Q8C2312yes—
489C13×C22⋊Q8C2312yes—
490C13×C22⋊Q8C2314yes—
491C13×C22⋊Q8C2312yes—
492C13×C22⋊Q8C2312yes—
493C13×C22⋊Q8C2312yes—
494C13×C22⋊Q8C2312yes—
495C13×C22⋊Q8C2312yes—
496C13×C22⋊Q8C2312yes—
497C13×C22⋊Q8C2314yes—
498C13×C22⋊Q8C2314yes—
499C13×C22⋊Q8C2314yes—
500C13×C22⋊Q8C2314yes—
501C13×C22⋊Q8C2314yes—
502C13×C22⋊Q8C2314yes—
503C13×C22⋊Q8C2314yes—
504C13×C22⋊Q8C2312yes—
505C13×C22⋊Q8C2312yes—
506C13×C22⋊Q8C2312yes—
507C13×C22⋊Q8C2312yes—
508C13×C22⋊Q8C2314yes—
509C13×C22⋊Q8C2314yes—
510C13×C22⋊Q8C2314yes—
511C13×C22⋊Q8C2312yes—
512C13×C22⋊Q8C2312yes—
513C13×C22⋊Q8C2314yes—
514C13×C22⋊Q8C2314yes—
515C13×C22⋊Q8C2312yes—
516C13×C22⋊Q8C2312yes—
517C13×C22⋊Q8C2314yes—
518C13×C22⋊Q8C2314yes—
519C13×C22⋊Q8C2314yes—
520C13×C22⋊Q8C2314yes—
521C13×C22⋊Q8C2314yes—
522C13×C22⋊Q8C2314yes—
523C13×C22⋊Q8C2314yes—
524C13×C22⋊Q8C2314yes—
525C13×C22⋊Q8C2314yes—
526C13×C22⋊Q8C2314yes—
527C13×C22⋊Q8C2314yes—
528C13×C22⋊Q8C2314yes—
529C13×C22⋊Q8C2314yes—
530C13×C22⋊Q8C2314yes—
531C13×C22⋊Q8C2314yes—
532C13×C22⋊Q8C2314yes—
533C13×C22⋊Q8C2314yes—
534C13×C22⋊Q8C2314yes—
535C13×C22⋊Q8C2314yes—
536C13×C22⋊Q8C2314yes—
537C13×C22⋊Q8C2314yes—
538C13×#121C2312yes—
539C13×#121C2312yes—
540C13×#121C2312yes—
541C13×#121C2312yes—
542C13×#121C2311yescharacteristic
543C13×#121C2311yescharacteristic
544C13×#121C2312yes—
545C13×#121C2314yes—
546C13×#121C2312yes—
547C13×#121C2314yes—
548C13×#121C2314yes—
549C13×#121C2314yes—
550C13×#121C2314yes—
551C13×#121C2314yes—
552C13×#121C2312yes—
553C13×#121C2312yes—
554C13×#121C2312yes—
555C13×#121C2312yes—
556C13×#121C2312yes—
557C13×#121C2314yes—
558C13×#121C2314yes—
559C13×#121C2314yes—
560C13×#121C2314yes—
561C13×#121C2314yes—
562C13×#121C2314yes—
563C13×#121C2314yes—
564C13×#121C2314yes—
565C13×#121C2314yes—
566C13×#121C2314yes—
567C13×#120C2314yes—
568C13×#120C2314yes—
569C13×#120C2314yes—
570C4×Q8×C13C2312yes—
571C4×Q8×C13C2312yes—
572C4×Q8×C13C2312yes—
573C4×Q8×C13C2314yes—
574C4×Q8×C13C2312yes—
575C4×Q8×C13C2314yes—
576C4×Q8×C13C2311yescharacteristic
577C4×Q8×C13C2312yes—
578C4×Q8×C13C2312yes—
579C4×Q8×C13C2311yescharacteristic
580C4×Q8×C13C2312yes—
581C4×Q8×C13C2312yes—
582C4×Q8×C13C2312yes—
583C4×Q8×C13C2312yes—
584C4×Q8×C13C2314yes—
585C4×Q8×C13C2314yes—
586C4×Q8×C13C2312yes—
587C4×Q8×C13C2312yes—
588C4×Q8×C13C2312yes—
589C4×Q8×C13C2314yes—
590C4×Q8×C13C2314yes—
591C4×Q8×C13C2312yes—
592C4×Q8×C13C2312yes—
593C4×Q8×C13C2314yes—
594C4×Q8×C13C2312yes—
595C4×Q8×C13C2311yescharacteristic
596C4×Q8×C13C2311yescharacteristic
597C4×Q8×C13C2312yes—
598C4×Q8×C13C2314yes—
599C4×Q8×C13C2312yes—
600C4×Q8×C13C2312yes—
601C4×Q8×C13C2312yes—
602C4×Q8×C13C2314yes—
603C4×Q8×C13C2314yes—
604C4×Q8×C13C2314yes—
605C4×Q8×C13C2314yes—
606C4×Q8×C13C2312yes—
607C4×Q8×C13C2312yes—
608C4×Q8×C13C2312yes—
609C4×Q8×C13C2314yes—
610C4×Q8×C13C2314yes—
611C4×Q8×C13C2314yes—
612C4×D4×C13C2312yes—
613C4×D4×C13C2311yescharacteristic
614C4×D4×C13C2314yes—
615C4×D4×C13C2312yes—
616C4×D4×C13C2312yes—
617C4×D4×C13C2314yes—
618C4×D4×C13C2312yes—
619C4×D4×C13C2311yescharacteristic
620C4×D4×C13C2312yes—
621C4×D4×C13C2312yes—
622C4×D4×C13C2312yes—
623C4×D4×C13C2314yes—
624C4×D4×C13C2312yes—
625C4×D4×C13C2314yes—
626C4×D4×C13C2314yes—
627C4×D4×C13C2314yes—
628C4×D4×C13C2312yes—
629C4×D4×C13C2312yes—
630C4×D4×C13C2312yes—
631C4×D4×C13C2312yes—
632C4×D4×C13C2311yescharacteristic
633C4×D4×C13C2311yescharacteristic
634C4×D4×C13C2312yes—
635C4×D4×C13C2314yes—
636C4×D4×C13C2314yes—
637C4×D4×C13C2314yes—
638C4×D4×C13C2314yes—
639C4×D4×C13C2314yes—
640C4×D4×C13C2314yes—
641C4×D4×C13C2314yes—
642C4×D4×C13C2314yes—
643C4×D4×C13C2312yes—
644C4×D4×C13C2314yes—
645C4×D4×C13C2314yes—
646C4×D4×C13C2314yes—
647C4×D4×C13C2314yes—
648C4×D4×C13C2312yes—
649C4×D4×C13C2314yes—
650C4×D4×C13C2314yes—
651C4×D4×C13C2314yes—
652C4×D4×C13C2314yes—
653C4×D4×C13C2314yes—
654C4×D4×C13C2314yes—
655C4×D4×C13C2314yes—
656C13×#117C2311yescharacteristic
657C13×#117C2312yes—
658C13×#117C2314yes—
659C13×#117C2312yes—
660C13×#117C2311yescharacteristic
661C13×#117C2311yescharacteristic
662C13×#117C2314yes—
663C13×#117C2312yes—
664C13×#117C2312yes—
665C13×#117C2314yes—
666C13×#117C2314yes—
667C13×#117C2314yes—
668C13×#117C2314yes—
669C13×#117C2312yes—
670C13×#117C2314yes—
671C13×#117C2312yes—
672C13×#117C2314yes—
673C13×#117C2314yes—
674C13×#117C2314yes—
675C13×#117C2314yes—
676C13×#117C2314yes—
677C13×#117C2314yes—
678C13×#117C2314yes—
679C13×#117C2314yes—
680C13×#117C2312yes—
681C13×#117C2312yes—
682C13×#117C2314yes—
683C13×#117C2314yes—
684C13×#117C2314yes—
685C13×#117C2312yes—
686C13×#117C2312yes—
687C13×#117C2314yes—
688C13×#117C2314yes—
689C13×#117C2314yes—
690C2×C13×C4⋊C4C2312yes—
691C2×C13×C4⋊C4C2314yes—
692C2×C13×C4⋊C4C2314yes—
693C2×C13×C4⋊C4C2314yes—
694C2×C13×C4⋊C4C2314yes—
695C2×C13×C4⋊C4C2312yes—
696C2×C13×C4⋊C4C2312yes—
697C2×C13×C4⋊C4C2314yes—
698C2×C13×C4⋊C4C2314yes—
699C2×C13×C4⋊C4C2314yes—
700C2×C13×C4⋊C4C2314yes—
701C2×C13×C22⋊C4C2314yes—
702C2×C13×C22⋊C4C2312yes—
703C2×C13×C22⋊C4C2312yes—
704C2×C13×C22⋊C4C2314yes—
705C2×C13×C22⋊C4C2314yes—
706C2×C42×C13C2312yes—
707C2×C42×C13C2314yes—
708C2×C42×C13C2311yescharacteristic
709C2×C42×C13C2312yes—
710C2×C42×C13C2314yes—
711C2×C42×C13C2312yes—
712#63062C1311yesmaximal, characteristic, direct product factor, Sylow
713C24×C13C2412yes—
714C13×#41—42no—
715C13×#41—44no—
716C13×#41—44no—
717C13×#41—44no—
718C2×Q8×C13—42no—
719C2×Q8×C13—44no—
720C2×Q8×C13—44no—
721C2×Q8×C13—44no—
722C2×Q8×C13C2412yes—
723C2×Q8×C13C2412yes—
724C2×Q8×C13C2411yescharacteristic
725C2×Q8×C13C2412yes—
726C2×Q8×C13C2412yes—
727C2×Q8×C13C2411yescharacteristic
728C2×Q8×C13C2411yescharacteristic
729C2×Q8×C13C2412yes—
730C2×Q8×C13C2412yes—
731C2×Q8×C13C2412yes—
732C2×Q8×C13C2414yes—
733C2×Q8×C13C2412yes—
734C2×Q8×C13C2412yes—
735C2×Q8×C13C2414yes—
736C2×Q8×C13C2412yes—
737C2×Q8×C13C2414yes—
738C2×Q8×C13C2414yes—
739C2×D4×C13—42no—
740C2×D4×C13C2412yes—
741C2×D4×C13C2411yescharacteristic
742C2×D4×C13C2412yes—
743C2×D4×C13C2412yes—
744C2×D4×C13C2414yes—
745C2×D4×C13C2414yes—
746C2×D4×C13C2414yes—
747C2×D4×C13C2414yes—
748C2×D4×C13C2412yes—
749C2×D4×C13C2411yescharacteristic
750C2×D4×C13C2411yescharacteristic
751C2×D4×C13C2414yes—
752C2×D4×C13C2412yes—
753C2×D4×C13C2412yes—
754C2×D4×C13C2414yes—
755C2×D4×C13C2414yes—
756C2×D4×C13C2412yes—
757C2×D4×C13C2414yes—
758C22×C4×C13C2412yes—
759C22×C4×C13C2412yes—
760C22×C4×C13C2411yescharacteristic
761C22×C4×C13C2412yes—
762C22×C4×C13C2411yescharacteristic
763C22×C4×C13C2411yescharacteristic
764C22×C4×C13C2414yes—
765C22×C4×C13C2414yes—
766C22×C4×C13C2414yes—
767C22×C4×C13C2414yes—
768C22×C4×C13C2412yes—
769C22×C4×C13C2412yes—
770C22×C4×C13C2412yes—
771C22×C4×C13C2412yes—
772C22×C4×C13C2412yes—
773C22×C4×C13C2412yes—
774C22×C4×C13C2414yes—
775C22×C4×C13C2412yes—
776C22×C4×C13C2414yes—
777C22×C4×C13C2414yes—
778C22×C4×C13C2414yes—
779C22×C4×C13C2414yes—
780C22×C4×C13C2414yes—
781C22×C4×C13C2414yes—
782C22×C4×C13C2414yes—
783C13×C4⋊C4C2414yes—
784C13×C4⋊C4C2411yescharacteristic
785C13×C4⋊C4C2414yes—
786C13×C4⋊C4C2412yes—
787C13×C4⋊C4C2412yes—
788C13×C4⋊C4C2411yescharacteristic
789C13×C4⋊C4C2412yes—
790C13×C4⋊C4C2412yes—
791C13×C4⋊C4C2411yescharacteristic
792C13×C4⋊C4C2414yes—
793C13×C4⋊C4C2414yes—
794C13×C4⋊C4C2414yes—
795C13×C4⋊C4C2412yes—
796C13×C4⋊C4C2414yes—
797C13×C4⋊C4C2414yes—
798C13×C4⋊C4C2414yes—
799C13×C4⋊C4C2414yes—
800C13×C4⋊C4C2414yes—
801C13×C4⋊C4C2414yes—
802C13×C4⋊C4C2412yes—
803C13×C4⋊C4C2414yes—
804C13×C4⋊C4C2412yes—
805C13×C4⋊C4C2414yes—
806C13×C4⋊C4C2414yes—
807C13×C4⋊C4C2414yes—
808C13×C4⋊C4C2414yes—
809C13×C4⋊C4C2414yes—
810C13×C4⋊C4C2414yes—
811C13×C4⋊C4C2414yes—
812C13×C4⋊C4C2414yes—
813C13×C4⋊C4C2412yes—
814C13×C4⋊C4C2414yes—
815C13×C4⋊C4C2414yes—
816C13×C4⋊C4C2414yes—
817C13×C4⋊C4C2414yes—
818C13×C4⋊C4C2412yes—
819C13×C4⋊C4C2412yes—
820C13×C4⋊C4C2412yes—
821C13×C4⋊C4C2414yes—
822C13×C4⋊C4C2411yescharacteristic
823C13×C4⋊C4C2412yes—
824C13×C4⋊C4C2412yes—
825C13×C4⋊C4C2412yes—
826C13×C4⋊C4C2411yescharacteristic
827C13×C4⋊C4C2414yes—
828C13×C4⋊C4C2412yes—
829C13×C4⋊C4C2414yes—
830C13×C4⋊C4C2412yes—
831C13×C4⋊C4C2412yes—
832C13×C4⋊C4C2412yes—
833C13×C4⋊C4C2412yes—
834C13×C4⋊C4C2412yes—
835C13×C4⋊C4C2411yescharacteristic
836C13×C4⋊C4C2411yescharacteristic
837C13×C4⋊C4C2411yescharacteristic
838C13×C4⋊C4C2412yes—
839C13×C4⋊C4C2414yes—
840C13×C4⋊C4C2412yes—
841C13×C4⋊C4C2411yescharacteristic
842C13×C4⋊C4C2414yes—
843C13×C4⋊C4C2411yescharacteristic
844C13×C4⋊C4C2414yes—
845C13×C4⋊C4C2414yes—
846C13×C4⋊C4C2412yes—
847C13×C4⋊C4C2412yes—
848C13×C4⋊C4C2414yes—
849C13×C4⋊C4C2412yes—
850C13×C4⋊C4C2414yes—
851C13×C4⋊C4C2412yes—
852C13×C4⋊C4C2412yes—
853C13×C4⋊C4C2412yes—
854C13×C4⋊C4C2414yes—
855C13×C4⋊C4C2414yes—
856C13×C4⋊C4C2414yes—
857C13×C4⋊C4C2412yes—
858C13×C4⋊C4C2412yes—
859C13×C4⋊C4C2414yes—
860C13×C4⋊C4C2414yes—
861C13×C4⋊C4C2414yes—
862C13×C4⋊C4C2412yes—
863C13×C4⋊C4C2414yes—
864C13×C4⋊C4C2412yes—
865C13×C4⋊C4C2412yes—
866C13×C4⋊C4C2412yes—
867C13×C4⋊C4C2412yes—
868C13×C4⋊C4C2412yes—
869C13×C22⋊C4C2412yes—
870C13×C22⋊C4C2412yes—
871C13×C22⋊C4C2412yes—
872C13×C22⋊C4C2412yes—
873C13×C22⋊C4C2414yes—
874C13×C22⋊C4C2414yes—
875C13×C22⋊C4C2414yes—
876C13×C22⋊C4C2414yes—
877C13×C22⋊C4C2414yes—
878C13×C22⋊C4C2414yes—
879C13×C22⋊C4C2414yes—
880C13×C22⋊C4C2414yes—
881C13×C22⋊C4C2414yes—
882C13×C22⋊C4C2414yes—
883C13×C22⋊C4C2414yes—
884C13×C22⋊C4C2414yes—
885C13×C22⋊C4C2414yes—
886C13×C22⋊C4C2412yes—
887C13×C22⋊C4C2412yes—
888C13×C22⋊C4C2412yes—
889C13×C22⋊C4C2412yes—
890C13×C22⋊C4C2412yes—
891C13×C22⋊C4C2412yes—
892C13×C22⋊C4C2414yes—
893C13×C22⋊C4C2414yes—
894C13×C22⋊C4C2414yes—
895C13×C22⋊C4C2414yes—
896C13×C22⋊C4C2412yes—
897C13×C22⋊C4C2414yes—
898C13×C22⋊C4C2414yes—
899C13×C22⋊C4C2412yes—
900C13×C22⋊C4C2414yes—
901C13×C22⋊C4C2414yes—
902C13×C22⋊C4C2414yes—
903C13×C22⋊C4C2414yes—
904C13×C22⋊C4C2414yes—
905C13×C22⋊C4C2412yes—
906C13×C22⋊C4C2412yes—
907C13×C22⋊C4C2414yes—
908C13×C22⋊C4C2412yes—
909C13×C22⋊C4C2412yes—
910C13×C22⋊C4C2412yes—
911C13×C22⋊C4C2412yes—
912C13×C22⋊C4C2412yes—
913C13×C22⋊C4C2414yes—
914C13×C22⋊C4C2414yes—
915C13×C22⋊C4C2414yes—
916C13×C22⋊C4C2414yes—
917C13×C22⋊C4C2412yes—
918C13×C22⋊C4C2412yes—
919C13×C22⋊C4C2412yes—
920C13×C22⋊C4C2414yes—
921C13×C22⋊C4C2412yes—
922C42×C13C2411yescharacteristic
923C42×C13C2412yes—
924C42×C13C2412yes—
925C42×C13C2412yes—
926C42×C13C2414yes—
927C42×C13C2412yes—
928C42×C13C2414yes—
929C42×C13C2414yes—
930C42×C13C2414yes—
931C42×C13C2412yes—
932C42×C13C2412yes—
933C42×C13C2411yescharacteristic
934C42×C13C2411yescharacteristic
935C42×C13C2412yes—
936C42×C13C2412yes—
937C42×C13C2412yes—
938C42×C13C2412yes—
939C42×C13C2414yes—
940C42×C13C2411yescharacteristic
941C42×C13C2412yes—
942C42×C13C2414yes—
943C42×C13C2414yes—
944C42×C13C2414yes—
945C42×C13C2414yes—
946C42×C13C2414yes—
947C42×C13C2414yes—
948C42×C13C2414yes—
949C42×C13C2414yes—
950C42×C13C2414yes—
951#3567C2×C1312yescomplemented
952#3566C2×C1314yescomplemented
953#3566C2×C1314yescomplemented
954#3565C2×C1314yescomplemented
955#3564C2×C1314yescomplemented
956#3564C2×C1314yescomplemented
957#3563C2×C1312yescomplemented
958#3562C2×C1312yescomplemented
959#3561C2×C1311yescharacteristic, complemented
960#3561C2×C1311yescharacteristic, complemented
961#3557C2×C1314yescomplemented
962#3557C2×C1312yescomplemented
963#3556C2×C1311yescharacteristic, complemented
964#3555C2×C1312yescomplemented
965#3554C2×C1312yescomplemented
966#3553C2×C1312yescomplemented
967#3552C2×C1312yescomplemented
968#3552C2×C1312yescomplemented
969#3531C2×C1311yescharacteristic, complemented
970#3531C2×C1312yescomplemented
971#3524C2×C1312yescomplemented
972#3523C2×C1312yescomplemented
973#3521C2×C1312yescomplemented
974#3518C2×C1311yescharacteristic, complemented
975#3516C2×C1312yescomplemented
976#3515C2×C1311yescharacteristic, complemented
977#3510C2×C1311yescharacteristic, complemented
978#3509C2×C1312yescomplemented
979#3507C2×C1312yescomplemented
980C23×C13—42no—
981C23×C13—42no—
982C23×C13—42no—
983C23×C13C2511yescharacteristic
984C23×C13C2514yes—
985C23×C13C2512yes—
986C23×C13C2512yes—
987C23×C13C2512yes—
988Q8×C13—24no—
989Q8×C13—22no—
990Q8×C13—24no—
991Q8×C13—24no—
992Q8×C13—44no—
993Q8×C13—42no—
994Q8×C13—44no—
995Q8×C13—44no—
996Q8×C13—42no—
997Q8×C13—42no—
998Q8×C13—41no—
999Q8×C13—41no—
1000Q8×C13—42no—
1001Q8×C13—42no—
1002Q8×C13—44no—
1003Q8×C13—42no—
1004Q8×C13—42no—
1005D4×C13—24no—
1006D4×C13—22no—
1007D4×C13—42no—
1008D4×C13—42no—
1009D4×C13—44no—
1010D4×C13—42no—
1011D4×C13—41no—
1012D4×C13—41no—
1013D4×C13—44no—
1014D4×C13—42no—
1015D4×C13—44no—
1016D4×C13—44no—
1017D4×C13—44no—
1018D4×C13—42no—
1019D4×C13—44no—
1020D4×C13—44no—
1021D4×C13—44no—
1022D4×C13—42no—
1023C2×C4×C13—22no—
1024C2×C4×C13—24no—
1025C2×C4×C13—24no—
1026C2×C4×C13—44no—
1027C2×C4×C13—42no—
1028C2×C4×C13—44no—
1029C2×C4×C13—44no—
1030C2×C4×C13—44no—
1031C2×C4×C13—44no—
1032C2×C4×C13—42no—
1033C2×C4×C13—42no—
1034C2×C4×C13—42no—
1035C2×C4×C13—41no—
1036C2×C4×C13—41no—
1037C2×C4×C13—42no—
1038C2×C4×C13—44no—
1039C2×C4×C13—42no—
1040C2×C4×C13—44no—
1041C2×C4×C13—44no—
1042C2×C4×C13—44no—
1043C2×C4×C13—42no—
1044C2×C4×C13—44no—
1045C2×C4×C13—44no—
1046C2×C4×C13—42no—
1047C2×C4×C13—44no—
1048C2×C4×C13C2512yes—
1049C2×C4×C13C2511yescharacteristic
1050C2×C4×C13C2511yescharacteristic
1051C2×C4×C13C2512yes—
1052C2×C4×C13C2512yes—
1053C2×C4×C13C2514yes—
1054C2×C4×C13C2512yes—
1055C2×C4×C13C2512yes—
1056C2×C4×C13C2512yes—
1057C2×C4×C13C2512yes—
1058C2×C4×C13C2512yes—
1059C2×C4×C13C2512yes—
1060C2×C4×C13C2514yes—
1061C2×C4×C13C2511yescharacteristic
1062C2×C4×C13C2511yescharacteristic
1063C2×C4×C13C2512yes—
1064C2×C4×C13C2512yes—
1065C2×C4×C13C2514yes—
1066C2×C4×C13C2512yes—
1067C2×C4×C13C2514yes—
1068C2×C4×C13C2511yescharacteristic
1069C2×C4×C13C2514yes—
1070C2×C4×C13C2512yes—
1071C2×C4×C13C2511yescharacteristic
1072#564C22×C1312yescomplemented
1073#564C22×C1311yescharacteristic, complemented
1074#564C22×C1312yescomplemented
1075#563C22×C1312yes—
1076#563C22×C1312yes—
1077#563C22×C1312yes—
1078#563C22×C1314yes—
1079#563C22×C1312yes—
1080#563C22×C1311yescharacteristic, complemented
1081#563C22×C1314yescomplemented
1082#563C22×C1314yescomplemented
1083#563C22×C1311yescharacteristic, complemented
1084#563C22×C1314yescomplemented
1085#563C22×C1312yescomplemented
1086#563C22×C1314yescomplemented
1087#563C22×C1312yescomplemented
1088#563C22×C1314yescomplemented
1089#563C22×C1314yescomplemented
1090#563C22×C1314yescomplemented
1091#562C22×C1312yes—
1092#562C22×C1314yes—
1093#562C22×C1312yes—
1094#562C22×C1312yes—
1095#562C22×C1312yes—
1096#562C22×C1314yescomplemented
1097#562C22×C1311yescharacteristic, complemented
1098#562C22×C1314yescomplemented
1099#560C22×C1314yes—
1100#559C22×C1312yes—
1101#559C22×C1312yes—
1102#559C22×C1312yes—
1103#559C22×C1314yescomplemented
1104#559C22×C1314yescomplemented
1105Q82C22×C1311yescharacteristic, complemented
1106#557C22×C1312yescomplemented
1107#557C22×C1312yescomplemented
1108#557C22×C1311yescharacteristic, complemented
1109#557C22×C1312yescomplemented
1110#557C22×C1312yescomplemented
1111#557C22×C1312yescomplemented
1112#557C22×C1312yescomplemented
1113#557C22×C1314yescomplemented
1114#557C22×C1312yescomplemented
1115#557C22×C1312yescomplemented
1116#557C22×C1312yescomplemented
1117#556C22×C1312yes—
1118#556C22×C1312yes—
1119#556C22×C1312yes—
1120#556C22×C1312yes—
1121#556C22×C1312yes—
1122#556C22×C1312yes—
1123#556C22×C1312yes—
1124#556C22×C1312yes—
1125#556C22×C1314yes—
1126#556C22×C1311yescharacteristic, complemented
1127#556C22×C1312yescomplemented
1128#556C22×C1314yescomplemented
1129#556C22×C1314yescomplemented
1130#556C22×C1314yescomplemented
1131#556C22×C1314yescomplemented
1132#555C22×C1312yes—
1133#555C22×C1311yescharacteristic, complemented
1134#555C22×C1314yescomplemented
1135#554C22×C1312yes—
1136#554C22×C1314yescomplemented
1137#554C22×C1311yescharacteristic, complemented
1138#554C22×C1311yescharacteristic, complemented
1139#554C22×C1314yescomplemented
1140#554C22×C1314yescomplemented
1141#554C22×C1314yescomplemented
1142#554C22×C1314yescomplemented
1143#553C22×C1312yes—
1144#553C22×C1312yes—
1145#553C22×C1314yes—
1146#553C22×C1314yes—
1147#553C22×C1314yes—
1148#553C22×C1314yescomplemented
1149#553C22×C1314yescomplemented
1150#553C22×C1314yescomplemented
1151#552C22×C1312yes—
1152#552C22×C1312yes—
1153#552C22×C1314yes—
1154#552C22×C1314yes—
1155#552C22×C1314yescomplemented
1156#552C22×C1314yescomplemented
1157#552C22×C1314yescomplemented
1158#552C22×C1314yescomplemented
1159#552C22×C1314yescomplemented
1160#552C22×C1314yescomplemented
1161#552C22×C1314yescomplemented
1162#552C22×C1312yescomplemented
1163#552C22×C1314yescomplemented
1164#552C22×C1314yescomplemented
1165#552C22×C1314yescomplemented
1166#552C22×C1314yescomplemented
1167#552C22×C1314yescomplemented
1168#552C22×C1314yescomplemented
1169#551C22×C1314yes—
1170#551C22×C1314yes—
1171#551C22×C1314yes—
1172#551C22×C1314yes—
1173#551C22×C1314yes—
1174#551C22×C1314yes—
1175#551C22×C1314yes—
1176#550C22×C1312yes—
1177D4×Q8C22×C1312yes—
1178D4×Q8C22×C1312yes—
1179D4×Q8C22×C1312yescomplemented
1180D4×Q8C22×C1311yescharacteristic, complemented
1181D4×Q8C22×C1312yescomplemented
1182#548C22×C1312yes—
1183#548C22×C1312yes—
1184#548C22×C1312yes—
1185#548C22×C1312yes—
1186#548C22×C1312yescomplemented
1187#547C22×C1312yes—
1188#547C22×C1312yes—
1189#547C22×C1311yescharacteristic, complemented
1190#546C22×C1312yes—
1191#546C22×C1312yes—
1192#544C22×C1314yescomplemented
1193#544C22×C1314yescomplemented
1194#544C22×C1314yescomplemented
1195#543C22×C1312yes—
1196#543C22×C1312yes—
1197#542C22×C1312yes—
1198#542C22×C1312yes—
1199#542C22×C1312yes—
1200#542C22×C1314yes—
1201#542C22×C1312yes—
1202#542C22×C1312yes—
1203#542C22×C1314yes—
1204#542C22×C1314yes—
1205#542C22×C1314yes—
1206#542C22×C1314yescomplemented
1207#542C22×C1312yescomplemented
1208#542C22×C1314yescomplemented
1209#542C22×C1314yescomplemented
1210#542C22×C1314yescomplemented
1211#542C22×C1314yescomplemented
1212#542C22×C1314yescomplemented
1213#541C22×C1312yes—
1214#541C22×C1312yes—
1215#541C22×C1314yes—
1216#541C22×C1314yes—
1217#541C22×C1314yes—
1218#541C22×C1314yescomplemented
1219#541C22×C1314yescomplemented
1220#541C22×C1312yescomplemented
1221#541C22×C1312yescomplemented
1222#541C22×C1314yescomplemented
1223#541C22×C1312yescomplemented
1224#541C22×C1314yescomplemented
1225#541C22×C1314yescomplemented
1226#541C22×C1314yescomplemented
1227#541C22×C1314yescomplemented
1228#540C22×C1312yes—
1229#540C22×C1314yes—
1230#540C22×C1314yescomplemented
1231#540C22×C1314yescomplemented
1232#539C22×C1314yes—
1233#539C22×C1314yes—
1234#539C22×C1314yes—
1235#539C22×C1314yes—
1236#539C22×C1314yescomplemented
1237#539C22×C1314yescomplemented
1238#539C22×C1314yescomplemented
1239#539C22×C1314yescomplemented
1240#539C22×C1314yescomplemented
1241#539C22×C1314yescomplemented
1242#539C22×C1314yescomplemented
1243#539C22×C1314yescomplemented
1244#539C22×C1314yescomplemented
1245#538C22×C1314yes—
1246#538C22×C1312yes—
1247#538C22×C1312yes—
1248#538C22×C1314yes—
1249#538C22×C1314yes—
1250#536C22×C1312yes—
1251#536C22×C1312yes—
1252#536C22×C1312yes—
1253#536C22×C1311yescharacteristic
1254#536C22×C1312yescomplemented
1255#535C22×C1311yescharacteristic
1256#533C22×C1311yescharacteristic
1257#533C22×C1311yescharacteristic
1258#533C22×C1311yescharacteristic
1259#533C22×C1312yescomplemented
1260#533C22×C1312yescomplemented
1261#533C22×C1314yescomplemented
1262#533C22×C1314yescomplemented
1263#533C22×C1312yescomplemented
1264#533C22×C1314yescomplemented
1265#533C22×C1312yescomplemented
1266#532C22×C1312yes—
1267C2×C4⋊Q8C22×C1312yescomplemented
1268#529C22×C1312yes—
1269#529C22×C1312yes—
1270#529C22×C1311yescharacteristic
1271#529C22×C1312yes—
1272#529C22×C1311yescharacteristic
1273#529C22×C1312yes—
1274#529C22×C1314yes—
1275#529C22×C1312yes—
1276#529C22×C1312yes—
1277#529C22×C1314yes—
1278#529C22×C1314yescomplemented
1279#529C22×C1314yescomplemented
1280#529C22×C1312yescomplemented
1281#529C22×C1312yescomplemented
1282#529C22×C1314yescomplemented
1283#529C22×C1314yescomplemented
1284#529C22×C1312yescomplemented
1285#529C22×C1312yescomplemented
1286#529C22×C1314yescomplemented
1287#529C22×C1312yescomplemented
1288#529C22×C1314yescomplemented
1289C2×#126C22×C1314yes—
1290C2×#125C22×C1312yescomplemented
1291C2×#124C22×C1311yescharacteristic
1292#520C22×C1312yes—
1293#520C22×C1312yescomplemented
1294#519C22×C1311yescharacteristic
1295#519C22×C1312yescomplemented
1296#519C22×C1312yescomplemented
1297#518C22×C1311yescharacteristic
1298C4×#41C22×C1312yes—
1299C4×#41C22×C1311yescharacteristic
1300C2×C4×Q8C22×C1312yescomplemented
1301C22×C13—22no—
1302C22×C13—22no—
1303C22×C13—21no—
1304C22×C13—22no—
1305C22×C13—24no—
1306C22×C13—22no—
1307C22×C13—22no—
1308C22×C13—24no—
1309C22×C13—24no—
1310C22×C13—22no—
1311C22×C13—22no—
1312C22×C13—22no—
1313C22×C13—22no—
1314C22×C13—21no—
1315C22×C13—21no—
1316C22×C13—162no—
1317C22×C13C2611yescharacteristic
1318C4×C13—22no—
1319C4×C13—21no—
1320C4×C13—22no—
1321C4×C13—24no—
1322C4×C13—22no—
1323C4×C13—24no—
1324C4×C13—24no—
1325C4×C13—22no—
1326C4×C13—21no—
1327C4×C13—24no—
1328C4×C13—22no—
1329C4×C13—22no—
1330C4×C13—21no—
1331C4×C13—22no—
1332C4×C13—22no—
1333C4×C13—22no—
1334C4×C13—22no—
1335C4×C13—22no—
1336C4×C13—24no—
1337C4×C13—22no—
1338C4×C13—22no—
1339C4×C13—21no—
1340C4×C13—21no—
1341C4×C13#58512yes—
1342C2×#41C23×C1311yescharacteristic
1343C2×#41C23×C1312yes—
1344C2×#41C23×C1312yes—
1345C2×#41C23×C1312yes—
1346C22×Q8C23×C1312yes—
1347C22×Q8C23×C1311yescharacteristic
1348C22×Q8C23×C1312yes—
1349C22×Q8C23×C1312yes—
1350C22×D4C23×C1311yescharacteristic
1351C4⋊Q8C23×C1314yes—
1352C4⋊Q8C23×C1312yes—
1353C4⋊Q8C23×C1312yes—
1354C4⋊Q8C23×C1312yes—
1355C4⋊Q8C23×C1312yes—
1356C4⋊Q8C23×C1314yes—
1357C4⋊Q8C23×C1312yes—
1358C4⋊Q8C23×C1311yescharacteristic
1359C4⋊Q8C23×C1311yescharacteristic
1360C4⋊Q8C23×C1311yescharacteristic
1361C4⋊Q8C23×C1311yescharacteristic
1362C4⋊Q8C23×C1311yescharacteristic
1363C4⋊Q8C23×C1311yescharacteristic
1364C4⋊Q8C23×C1312yes—
1365C4⋊Q8C23×C1312yes—
1366C4⋊Q8C23×C1312yes—
1367C4⋊Q8C23×C1312yes—
1368C4⋊Q8C23×C1312yes—
1369C4⋊Q8C23×C1312yes—
1370C4⋊Q8C23×C1314yes—
1371C4⋊Q8C23×C1314yes—
1372C4⋊Q8C23×C1312yes—
1373C4⋊Q8C23×C1312yes—
1374C4⋊Q8C23×C1314yes—
1375C4⋊Q8C23×C1314yes—
1376C4⋊Q8C23×C1314yes—
1377C4⋊Q8C23×C1314yes—
1378C4⋊Q8C23×C1314yes—
1379C4⋊Q8C23×C1314yes—
1380#127C23×C1312yes—
1381#127C23×C1314yes—
1382#126C23×C1312yes—
1383#126C23×C1314yes—
1384#126C23×C1314yes—
1385#126C23×C1314yes—
1386#126C23×C1314yes—
1387#126C23×C1314yes—
1388#126C23×C1314yes—
1389#126C23×C1314yes—
1390#126C23×C1312yes—
1391#126C23×C1314yes—
1392#126C23×C1314yes—
1393#126C23×C1314yes—
1394#126C23×C1314yes—
1395#126C23×C1312yes—
1396#126C23×C1314yes—
1397#126C23×C1312yes—
1398#126C23×C1312yes—
1399#126C23×C1312yes—
1400#126C23×C1312yes—
1401#126C23×C1312yes—
1402#126C23×C1314yes—
1403#126C23×C1314yes—
1404#126C23×C1314yes—
1405#126C23×C1314yes—
1406#126C23×C1314yes—
1407#126C23×C1314yes—
1408#126C23×C1312yes—
1409#126C23×C1312yes—
1410#126C23×C1314yes—
1411#126C23×C1314yes—
1412#126C23×C1314yes—
1413#126C23×C1314yes—
1414#126C23×C1314yes—
1415#126C23×C1314yes—
1416#126C23×C1314yes—
1417#126C23×C1314yes—
1418#126C23×C1314yes—
1419#126C23×C1314yes—
1420#126C23×C1314yes—
1421#126C23×C1314yes—
1422#126C23×C1314yes—
1423#126C23×C1314yes—
1424#126C23×C1314yes—
1425#126C23×C1314yes—
1426#126C23×C1314yes—
1427#126C23×C1314yes—
1428#126C23×C1314yes—
1429#125C23×C1311yescharacteristic
1430#125C23×C1312yes—
1431#125C23×C1314yes—
1432#125C23×C1314yes—
1433#125C23×C1312yes—
1434#125C23×C1312yes—
1435#125C23×C1311yescharacteristic
1436#125C23×C1311yescharacteristic
1437#125C23×C1311yescharacteristic
1438#125C23×C1312yes—
1439#125C23×C1314yes—
1440#125C23×C1314yes—
1441#125C23×C1312yes—
1442#125C23×C1312yes—
1443#125C23×C1312yes—
1444#125C23×C1312yes—
1445#125C23×C1314yes—
1446#125C23×C1314yes—
1447#125C23×C1314yes—
1448#125C23×C1314yes—
1449#125C23×C1312yes—
1450#125C23×C1314yes—
1451#125C23×C1314yes—
1452#125C23×C1312yes—
1453#125C23×C1312yes—
1454#125C23×C1314yes—
1455#125C23×C1314yes—
1456#125C23×C1314yes—
1457#125C23×C1314yes—
1458#125C23×C1314yes—
1459#125C23×C1314yes—
1460#125C23×C1314yes—
1461#125C23×C1312yes—
1462#125C23×C1312yes—
1463#125C23×C1312yes—
1464#125C23×C1312yes—
1465#125C23×C1314yes—
1466#125C23×C1314yes—
1467#125C23×C1314yes—
1468#125C23×C1314yes—
1469#125C23×C1314yes—
1470#125C23×C1314yes—
1471#125C23×C1314yes—
1472#125C23×C1314yes—
1473#125C23×C1314yes—
1474#125C23×C1314yes—
1475#125C23×C1314yes—
1476#125C23×C1314yes—
1477#125C23×C1314yes—
1478#125C23×C1314yes—
1479#125C23×C1314yes—
1480#124C23×C1312yes—
1481#124C23×C1312yes—
1482#124C23×C1312yes—
1483#124C23×C1312yes—
1484#124C23×C1311yescharacteristic
1485#124C23×C1311yescharacteristic
1486#124C23×C1312yes—
1487#124C23×C1312yes—
1488#124C23×C1312yes—
1489#124C23×C1314yes—
1490#124C23×C1314yes—
1491#124C23×C1312yes—
1492#124C23×C1312yes—
1493#124C23×C1314yes—
1494#124C23×C1314yes—
1495#124C23×C1314yes—
1496#124C23×C1314yes—
1497#124C23×C1314yes—
1498#124C23×C1314yes—
1499#124C23×C1312yes—
1500#124C23×C1312yes—
1501#124C23×C1312yes—
1502#124C23×C1312yes—
1503#124C23×C1314yes—
1504#124C23×C1314yes—
1505#124C23×C1314yes—
1506#124C23×C1314yes—
1507#124C23×C1314yes—
1508#124C23×C1314yes—
1509#123C23×C1314yes—
1510#123C23×C1312yes—
1511#123C23×C1314yes—
1512#123C23×C1314yes—
1513#123C23×C1312yes—
1514#123C23×C1312yes—
1515#123C23×C1314yes—
1516#123C23×C1314yes—
1517#123C23×C1312yes—
1518#123C23×C1314yes—
1519#123C23×C1314yes—
1520#123C23×C1312yes—
1521#123C23×C1314yes—
1522#123C23×C1312yes—
1523#123C23×C1312yes—
1524#123C23×C1312yes—
1525#123C23×C1314yes—
1526#123C23×C1314yes—
1527#123C23×C1314yes—
1528#123C23×C1314yes—
1529#123C23×C1314yes—
1530#123C23×C1314yes—
1531#123C23×C1314yes—
1532#123C23×C1312yes—
1533#123C23×C1312yes—
1534#123C23×C1314yes—
1535#123C23×C1314yes—
1536#123C23×C1314yes—
1537#123C23×C1314yes—
1538#123C23×C1314yes—
1539#123C23×C1314yes—
1540#123C23×C1314yes—
1541#123C23×C1314yes—
1542#123C23×C1314yes—
1543#123C23×C1314yes—
1544#123C23×C1314yes—
1545#123C23×C1314yes—
1546#123C23×C1314yes—
1547#123C23×C1314yes—
1548#123C23×C1314yes—
1549#123C23×C1314yes—
1550#123C23×C1314yes—
1551#123C23×C1314yes—
1552#123C23×C1314yes—
1553C22⋊Q8C23×C1312yes—
1554C22⋊Q8C23×C1314yes—
1555C22⋊Q8C23×C1312yes—
1556C22⋊Q8C23×C1312yes—
1557C22⋊Q8C23×C1312yes—
1558C22⋊Q8C23×C1312yes—
1559C22⋊Q8C23×C1312yes—
1560C22⋊Q8C23×C1314yes—
1561C22⋊Q8C23×C1311yescharacteristic
1562C22⋊Q8C23×C1311yescharacteristic
1563C22⋊Q8C23×C1312yes—
1564C22⋊Q8C23×C1312yes—
1565C22⋊Q8C23×C1314yes—
1566C22⋊Q8C23×C1312yes—
1567C22⋊Q8C23×C1312yes—
1568C22⋊Q8C23×C1314yes—
1569C22⋊Q8C23×C1314yes—
1570C22⋊Q8C23×C1312yes—
1571C22⋊Q8C23×C1312yes—
1572C22⋊Q8C23×C1312yes—
1573C22⋊Q8C23×C1314yes—
1574C22⋊Q8C23×C1312yes—
1575C22⋊Q8C23×C1312yes—
1576C22⋊Q8C23×C1312yes—
1577C22⋊Q8C23×C1312yes—
1578C22⋊Q8C23×C1312yes—
1579C22⋊Q8C23×C1312yes—
1580C22⋊Q8C23×C1314yes—
1581C22⋊Q8C23×C1314yes—
1582C22⋊Q8C23×C1314yes—
1583C22⋊Q8C23×C1314yes—
1584C22⋊Q8C23×C1314yes—
1585C22⋊Q8C23×C1314yes—
1586C22⋊Q8C23×C1314yes—
1587C22⋊Q8C23×C1312yes—
1588C22⋊Q8C23×C1312yes—
1589C22⋊Q8C23×C1312yes—
1590C22⋊Q8C23×C1312yes—
1591C22⋊Q8C23×C1314yes—
1592C22⋊Q8C23×C1314yes—
1593C22⋊Q8C23×C1314yes—
1594C22⋊Q8C23×C1312yes—
1595C22⋊Q8C23×C1312yes—
1596C22⋊Q8C23×C1314yes—
1597C22⋊Q8C23×C1314yes—
1598C22⋊Q8C23×C1312yes—
1599C22⋊Q8C23×C1312yes—
1600C22⋊Q8C23×C1314yes—
1601C22⋊Q8C23×C1314yes—
1602C22⋊Q8C23×C1314yes—
1603C22⋊Q8C23×C1314yes—
1604C22⋊Q8C23×C1314yes—
1605C22⋊Q8C23×C1314yes—
1606C22⋊Q8C23×C1314yes—
1607C22⋊Q8C23×C1314yes—
1608C22⋊Q8C23×C1314yes—
1609C22⋊Q8C23×C1314yes—
1610C22⋊Q8C23×C1314yes—
1611C22⋊Q8C23×C1314yes—
1612C22⋊Q8C23×C1314yes—
1613C22⋊Q8C23×C1314yes—
1614C22⋊Q8C23×C1314yes—
1615C22⋊Q8C23×C1314yes—
1616C22⋊Q8C23×C1314yes—
1617C22⋊Q8C23×C1314yes—
1618C22⋊Q8C23×C1314yes—
1619C22⋊Q8C23×C1314yes—
1620C22⋊Q8C23×C1314yes—
1621#121C23×C1312yes—
1622#121C23×C1312yes—
1623#121C23×C1312yes—
1624#121C23×C1312yes—
1625#121C23×C1311yescharacteristic
1626#121C23×C1311yescharacteristic
1627#121C23×C1312yes—
1628#121C23×C1314yes—
1629#121C23×C1312yes—
1630#121C23×C1314yes—
1631#121C23×C1314yes—
1632#121C23×C1314yes—
1633#121C23×C1314yes—
1634#121C23×C1314yes—
1635#121C23×C1312yes—
1636#121C23×C1312yes—
1637#121C23×C1312yes—
1638#121C23×C1312yes—
1639#121C23×C1312yes—
1640#121C23×C1314yes—
1641#121C23×C1314yes—
1642#121C23×C1314yes—
1643#121C23×C1314yes—
1644#121C23×C1314yes—
1645#121C23×C1314yes—
1646#121C23×C1314yes—
1647#121C23×C1314yes—
1648#121C23×C1314yes—
1649#121C23×C1314yes—
1650#120C23×C1314yes—
1651#120C23×C1314yes—
1652#120C23×C1314yes—
1653C4×Q8C23×C1312yes—
1654C4×Q8C23×C1312yes—
1655C4×Q8C23×C1312yes—
1656C4×Q8C23×C1314yes—
1657C4×Q8C23×C1312yes—
1658C4×Q8C23×C1314yes—
1659C4×Q8C23×C1311yescharacteristic
1660C4×Q8C23×C1312yes—
1661C4×Q8C23×C1312yes—
1662C4×Q8C23×C1311yescharacteristic
1663C4×Q8C23×C1312yes—
1664C4×Q8C23×C1312yes—
1665C4×Q8C23×C1312yes—
1666C4×Q8C23×C1312yes—
1667C4×Q8C23×C1314yes—
1668C4×Q8C23×C1314yes—
1669C4×Q8C23×C1312yes—
1670C4×Q8C23×C1312yes—
1671C4×Q8C23×C1312yes—
1672C4×Q8C23×C1314yes—
1673C4×Q8C23×C1314yes—
1674C4×Q8C23×C1312yes—
1675C4×Q8C23×C1312yes—
1676C4×Q8C23×C1314yes—
1677C4×Q8C23×C1312yes—
1678C4×Q8C23×C1311yescharacteristic
1679C4×Q8C23×C1311yescharacteristic
1680C4×Q8C23×C1312yes—
1681C4×Q8C23×C1314yes—
1682C4×Q8C23×C1312yes—
1683C4×Q8C23×C1312yes—
1684C4×Q8C23×C1312yes—
1685C4×Q8C23×C1314yes—
1686C4×Q8C23×C1314yes—
1687C4×Q8C23×C1314yes—
1688C4×Q8C23×C1314yes—
1689C4×Q8C23×C1312yes—
1690C4×Q8C23×C1312yes—
1691C4×Q8C23×C1312yes—
1692C4×Q8C23×C1314yes—
1693C4×Q8C23×C1314yes—
1694C4×Q8C23×C1314yes—
1695C4×D4C23×C1312yes—
1696C4×D4C23×C1311yescharacteristic
1697C4×D4C23×C1314yes—
1698C4×D4C23×C1312yes—
1699C4×D4C23×C1312yes—
1700C4×D4C23×C1314yes—
1701C4×D4C23×C1312yes—
1702C4×D4C23×C1311yescharacteristic
1703C4×D4C23×C1312yes—
1704C4×D4C23×C1312yes—
1705C4×D4C23×C1312yes—
1706C4×D4C23×C1314yes—
1707C4×D4C23×C1312yes—
1708C4×D4C23×C1314yes—
1709C4×D4C23×C1314yes—
1710C4×D4C23×C1314yes—
1711C4×D4C23×C1312yes—
1712C4×D4C23×C1312yes—
1713C4×D4C23×C1312yes—
1714C4×D4C23×C1312yes—
1715C4×D4C23×C1311yescharacteristic
1716C4×D4C23×C1311yescharacteristic
1717C4×D4C23×C1312yes—
1718C4×D4C23×C1314yes—
1719C4×D4C23×C1314yes—
1720C4×D4C23×C1314yes—
1721C4×D4C23×C1314yes—
1722C4×D4C23×C1314yes—
1723C4×D4C23×C1314yes—
1724C4×D4C23×C1314yes—
1725C4×D4C23×C1314yes—
1726C4×D4C23×C1312yes—
1727C4×D4C23×C1314yes—
1728C4×D4C23×C1314yes—
1729C4×D4C23×C1314yes—
1730C4×D4C23×C1314yes—
1731C4×D4C23×C1312yes—
1732C4×D4C23×C1314yes—
1733C4×D4C23×C1314yes—
1734C4×D4C23×C1314yes—
1735C4×D4C23×C1314yes—
1736C4×D4C23×C1314yes—
1737C4×D4C23×C1314yes—
1738C4×D4C23×C1314yes—
1739#117C23×C1311yescharacteristic
1740#117C23×C1312yes—
1741#117C23×C1314yes—
1742#117C23×C1312yes—
1743#117C23×C1311yescharacteristic
1744#117C23×C1311yescharacteristic
1745#117C23×C1314yes—
1746#117C23×C1312yes—
1747#117C23×C1312yes—
1748#117C23×C1314yes—
1749#117C23×C1314yes—
1750#117C23×C1314yes—
1751#117C23×C1314yes—
1752#117C23×C1312yes—
1753#117C23×C1314yes—
1754#117C23×C1312yes—
1755#117C23×C1314yes—
1756#117C23×C1314yes—
1757#117C23×C1314yes—
1758#117C23×C1314yes—
1759#117C23×C1314yes—
1760#117C23×C1314yes—
1761#117C23×C1314yes—
1762#117C23×C1314yes—
1763#117C23×C1312yes—
1764#117C23×C1312yes—
1765#117C23×C1314yes—
1766#117C23×C1314yes—
1767#117C23×C1314yes—
1768#117C23×C1312yes—
1769#117C23×C1312yes—
1770#117C23×C1314yes—
1771#117C23×C1314yes—
1772#117C23×C1314yes—
1773C2×C4⋊C4C23×C1312yes—
1774C2×C4⋊C4C23×C1314yes—
1775C2×C4⋊C4C23×C1314yes—
1776C2×C4⋊C4C23×C1314yes—
1777C2×C4⋊C4C23×C1314yes—
1778C2×C4⋊C4C23×C1312yes—
1779C2×C4⋊C4C23×C1312yes—
1780C2×C4⋊C4C23×C1314yes—
1781C2×C4⋊C4C23×C1314yes—
1782C2×C4⋊C4C23×C1314yes—
1783C2×C4⋊C4C23×C1314yes—
1784C2×C22⋊C4C23×C1314yes—
1785C2×C22⋊C4C23×C1312yes—
1786C2×C22⋊C4C23×C1312yes—
1787C2×C22⋊C4C23×C1314yes—
1788C2×C22⋊C4C23×C1314yes—
1789C2×C42C23×C1312yes—
1790C2×C42C23×C1314yes—
1791C2×C42C23×C1311yescharacteristic
1792C2×C42C23×C1312yes—
1793C2×C42C23×C1314yes—
1794C2×C42C23×C1312yes—
1795C2×C13—42no—
1796C2×C13—42no—
1797C2×C13—42no—
1798C2×C13—44no—
1799C2×C13—41no—
1800C2×C13C2×#58511yescharacteristic
1801C2×C132−1+611yescharacteristic
1802C2×C132−1+611yescharacteristic
1803C24C24×C1312yes—
1804#41—42no—
1805#41—44no—
1806#41—44no—
1807#41—44no—
1808C2×Q8—42no—
1809C2×Q8—44no—
1810C2×Q8—44no—
1811C2×Q8—44no—
1812C2×Q8C24×C1312yes—
1813C2×Q8C24×C1312yes—
1814C2×Q8C24×C1311yescharacteristic
1815C2×Q8C24×C1312yes—
1816C2×Q8C24×C1312yes—
1817C2×Q8C24×C1311yescharacteristic
1818C2×Q8C24×C1311yescharacteristic
1819C2×Q8C24×C1312yes—
1820C2×Q8C24×C1312yes—
1821C2×Q8C24×C1312yes—
1822C2×Q8C24×C1314yes—
1823C2×Q8C24×C1312yes—
1824C2×Q8C24×C1312yes—
1825C2×Q8C24×C1314yes—
1826C2×Q8C24×C1312yes—
1827C2×Q8C24×C1314yes—
1828C2×Q8C24×C1314yes—
1829C2×D4—42no—
1830C2×D4C24×C1312yes—
1831C2×D4C24×C1311yescharacteristic
1832C2×D4C24×C1312yes—
1833C2×D4C24×C1312yes—
1834C2×D4C24×C1314yes—
1835C2×D4C24×C1314yes—
1836C2×D4C24×C1314yes—
1837C2×D4C24×C1314yes—
1838C2×D4C24×C1312yes—
1839C2×D4C24×C1311yescharacteristic
1840C2×D4C24×C1311yescharacteristic
1841C2×D4C24×C1314yes—
1842C2×D4C24×C1312yes—
1843C2×D4C24×C1312yes—
1844C2×D4C24×C1314yes—
1845C2×D4C24×C1314yes—
1846C2×D4C24×C1312yes—
1847C2×D4C24×C1314yes—
1848C22×C4C24×C1312yes—
1849C22×C4C24×C1312yes—
1850C22×C4C24×C1311yescharacteristic
1851C22×C4C24×C1312yes—
1852C22×C4C24×C1311yescharacteristic
1853C22×C4C24×C1311yescharacteristic
1854C22×C4C24×C1314yes—
1855C22×C4C24×C1314yes—
1856C22×C4C24×C1314yes—
1857C22×C4C24×C1314yes—
1858C22×C4C24×C1312yes—
1859C22×C4C24×C1312yes—
1860C22×C4C24×C1312yes—
1861C22×C4C24×C1312yes—
1862C22×C4C24×C1312yes—
1863C22×C4C24×C1312yes—
1864C22×C4C24×C1314yes—
1865C22×C4C24×C1312yes—
1866C22×C4C24×C1314yes—
1867C22×C4C24×C1314yes—
1868C22×C4C24×C1314yes—
1869C22×C4C24×C1314yes—
1870C22×C4C24×C1314yes—
1871C22×C4C24×C1314yes—
1872C22×C4C24×C1314yes—
1873C4⋊C4C24×C1314yes—
1874C4⋊C4C24×C1311yescharacteristic
1875C4⋊C4C24×C1314yes—
1876C4⋊C4C24×C1312yes—
1877C4⋊C4C24×C1312yes—
1878C4⋊C4C24×C1311yescharacteristic
1879C4⋊C4C24×C1312yes—
1880C4⋊C4C24×C1312yes—
1881C4⋊C4C24×C1311yescharacteristic
1882C4⋊C4C24×C1314yes—
1883C4⋊C4C24×C1314yes—
1884C4⋊C4C24×C1314yes—
1885C4⋊C4C24×C1312yes—
1886C4⋊C4C24×C1314yes—
1887C4⋊C4C24×C1314yes—
1888C4⋊C4C24×C1314yes—
1889C4⋊C4C24×C1314yes—
1890C4⋊C4C24×C1314yes—
1891C4⋊C4C24×C1314yes—
1892C4⋊C4C24×C1312yes—
1893C4⋊C4C24×C1314yes—
1894C4⋊C4C24×C1312yes—
1895C4⋊C4C24×C1314yes—
1896C4⋊C4C24×C1314yes—
1897C4⋊C4C24×C1314yes—
1898C4⋊C4C24×C1314yes—
1899C4⋊C4C24×C1314yes—
1900C4⋊C4C24×C1314yes—
1901C4⋊C4C24×C1314yes—
1902C4⋊C4C24×C1314yes—
1903C4⋊C4C24×C1312yes—
1904C4⋊C4C24×C1314yes—
1905C4⋊C4C24×C1314yes—
1906C4⋊C4C24×C1314yes—
1907C4⋊C4C24×C1314yes—
1908C4⋊C4C24×C1312yes—
1909C4⋊C4C24×C1312yes—
1910C4⋊C4C24×C1312yes—
1911C4⋊C4C24×C1314yes—
1912C4⋊C4C24×C1311yescharacteristic
1913C4⋊C4C24×C1312yes—
1914C4⋊C4C24×C1312yes—
1915C4⋊C4C24×C1312yes—
1916C4⋊C4C24×C1311yescharacteristic
1917C4⋊C4C24×C1314yes—
1918C4⋊C4C24×C1312yes—
1919C4⋊C4C24×C1314yes—
1920C4⋊C4C24×C1312yes—
1921C4⋊C4C24×C1312yes—
1922C4⋊C4C24×C1312yes—
1923C4⋊C4C24×C1312yes—
1924C4⋊C4C24×C1312yes—
1925C4⋊C4C24×C1311yescharacteristic
1926C4⋊C4C24×C1311yescharacteristic
1927C4⋊C4C24×C1311yescharacteristic
1928C4⋊C4C24×C1312yes—
1929C4⋊C4C24×C1314yes—
1930C4⋊C4C24×C1312yes—
1931C4⋊C4C24×C1311yescharacteristic
1932C4⋊C4C24×C1314yes—
1933C4⋊C4C24×C1311yescharacteristic
1934C4⋊C4C24×C1314yes—
1935C4⋊C4C24×C1314yes—
1936C4⋊C4C24×C1312yes—
1937C4⋊C4C24×C1312yes—
1938C4⋊C4C24×C1314yes—
1939C4⋊C4C24×C1312yes—
1940C4⋊C4C24×C1314yes—
1941C4⋊C4C24×C1312yes—
1942C4⋊C4C24×C1312yes—
1943C4⋊C4C24×C1312yes—
1944C4⋊C4C24×C1314yes—
1945C4⋊C4C24×C1314yes—
1946C4⋊C4C24×C1314yes—
1947C4⋊C4C24×C1312yes—
1948C4⋊C4C24×C1312yes—
1949C4⋊C4C24×C1314yes—
1950C4⋊C4C24×C1314yes—
1951C4⋊C4C24×C1314yes—
1952C4⋊C4C24×C1312yes—
1953C4⋊C4C24×C1314yes—
1954C4⋊C4C24×C1312yes—
1955C4⋊C4C24×C1312yes—
1956C4⋊C4C24×C1312yes—
1957C4⋊C4C24×C1312yes—
1958C4⋊C4C24×C1312yes—
1959C22⋊C4C24×C1312yes—
1960C22⋊C4C24×C1312yes—
1961C22⋊C4C24×C1312yes—
1962C22⋊C4C24×C1312yes—
1963C22⋊C4C24×C1314yes—
1964C22⋊C4C24×C1314yes—
1965C22⋊C4C24×C1314yes—
1966C22⋊C4C24×C1314yes—
1967C22⋊C4C24×C1314yes—
1968C22⋊C4C24×C1314yes—
1969C22⋊C4C24×C1314yes—
1970C22⋊C4C24×C1314yes—
1971C22⋊C4C24×C1314yes—
1972C22⋊C4C24×C1314yes—
1973C22⋊C4C24×C1314yes—
1974C22⋊C4C24×C1314yes—
1975C22⋊C4C24×C1314yes—
1976C22⋊C4C24×C1312yes—
1977C22⋊C4C24×C1312yes—
1978C22⋊C4C24×C1312yes—
1979C22⋊C4C24×C1312yes—
1980C22⋊C4C24×C1312yes—
1981C22⋊C4C24×C1312yes—
1982C22⋊C4C24×C1314yes—
1983C22⋊C4C24×C1314yes—
1984C22⋊C4C24×C1314yes—
1985C22⋊C4C24×C1314yes—
1986C22⋊C4C24×C1312yes—
1987C22⋊C4C24×C1314yes—
1988C22⋊C4C24×C1314yes—
1989C22⋊C4C24×C1312yes—
1990C22⋊C4C24×C1314yes—
1991C22⋊C4C24×C1314yes—
1992C22⋊C4C24×C1314yes—
1993C22⋊C4C24×C1314yes—
1994C22⋊C4C24×C1314yes—
1995C22⋊C4C24×C1312yes—
1996C22⋊C4C24×C1312yes—
1997C22⋊C4C24×C1314yes—
1998C22⋊C4C24×C1312yes—
1999C22⋊C4C24×C1312yes—
2000C22⋊C4C24×C1312yes—
2001C22⋊C4C24×C1312yes—
2002C22⋊C4C24×C1312yes—
2003C22⋊C4C24×C1314yes—
2004C22⋊C4C24×C1314yes—
2005C22⋊C4C24×C1314yes—
2006C22⋊C4C24×C1314yes—
2007C22⋊C4C24×C1312yes—
2008C22⋊C4C24×C1312yes—
2009C22⋊C4C24×C1312yes—
2010C22⋊C4C24×C1314yes—
2011C22⋊C4C24×C1312yes—
2012C42C24×C1311yescharacteristic
2013C42C24×C1312yes—
2014C42C24×C1312yes—
2015C42C24×C1312yes—
2016C42C24×C1314yes—
2017C42C24×C1312yes—
2018C42C24×C1314yes—
2019C42C24×C1314yes—
2020C42C24×C1314yes—
2021C42C24×C1312yes—
2022C42C24×C1312yes—
2023C42C24×C1311yescharacteristic
2024C42C24×C1311yescharacteristic
2025C42C24×C1312yes—
2026C42C24×C1312yes—
2027C42C24×C1312yes—
2028C42C24×C1312yes—
2029C42C24×C1314yes—
2030C42C24×C1311yescharacteristic
2031C42C24×C1312yes—
2032C42C24×C1314yes—
2033C42C24×C1314yes—
2034C42C24×C1314yes—
2035C42C24×C1314yes—
2036C42C24×C1314yes—
2037C42C24×C1314yes—
2038C42C24×C1314yes—
2039C42C24×C1314yes—
2040C42C24×C1314yes—
2041C13#6306211yescharacteristic, direct product factor, Sylow
2042C23—42no—
2043C23—42no—
2044C23—42no—
2045C23C25×C1311yescharacteristic
2046C23C25×C1314yes—
2047C23C25×C1312yes—
2048C23C25×C1312yes—
2049C23C25×C1312yes—
2050Q8—24no—
2051Q8—22no—
2052Q8—24no—
2053Q8—24no—
2054Q8—44no—
2055Q8—42no—
2056Q8—44no—
2057Q8—44no—
2058Q8—42no—
2059Q8—42no—
2060Q8—41no—
2061Q8—41no—
2062Q8—42no—
2063Q8—42no—
2064Q8—44no—
2065Q8—42no—
2066Q8—42no—
2067D4—24no—
2068D4—22no—
2069D4—42no—
2070D4—42no—
2071D4—44no—
2072D4—42no—
2073D4—41no—
2074D4—41no—
2075D4—44no—
2076D4—42no—
2077D4—44no—
2078D4—44no—
2079D4—44no—
2080D4—42no—
2081D4—44no—
2082D4—44no—
2083D4—44no—
2084D4—42no—
2085C2×C4—22no—
2086C2×C4—24no—
2087C2×C4—24no—
2088C2×C4—44no—
2089C2×C4—42no—
2090C2×C4—44no—
2091C2×C4—44no—
2092C2×C4—44no—
2093C2×C4—44no—
2094C2×C4—42no—
2095C2×C4—42no—
2096C2×C4—42no—
2097C2×C4—41no—
2098C2×C4—41no—
2099C2×C4—42no—
2100C2×C4—44no—
2101C2×C4—42no—
2102C2×C4—44no—
2103C2×C4—44no—
2104C2×C4—44no—
2105C2×C4—42no—
2106C2×C4—44no—
2107C2×C4—44no—
2108C2×C4—42no—
2109C2×C4—44no—
2110C2×C4C25×C1312yes—
2111C2×C4C25×C1311yescharacteristic
2112C2×C4C25×C1311yescharacteristic
2113C2×C4C25×C1312yes—
2114C2×C4C25×C1312yes—
2115C2×C4C25×C1314yes—
2116C2×C4C25×C1312yes—
2117C2×C4C25×C1312yes—
2118C2×C4C25×C1312yes—
2119C2×C4C25×C1312yes—
2120C2×C4C25×C1312yes—
2121C2×C4C25×C1312yes—
2122C2×C4C25×C1314yes—
2123C2×C4C25×C1311yescharacteristic
2124C2×C4C25×C1311yescharacteristic
2125C2×C4C25×C1312yes—
2126C2×C4C25×C1312yes—
2127C2×C4C25×C1314yes—
2128C2×C4C25×C1312yes—
2129C2×C4C25×C1314yes—
2130C2×C4C25×C1311yescharacteristic
2131C2×C4C25×C1314yes—
2132C2×C4C25×C1312yes—
2133C2×C4C25×C1311yescharacteristic
2134C22—22no—
2135C22—22no—
2136C22—21no—
2137C22—22no—
2138C22—24no—
2139C22—22no—
2140C22—22no—
2141C22—24no—
2142C22—24no—
2143C22—22no—
2144C22—22no—
2145C22—22no—
2146C22—22no—
2147C22—21no—
2148C22—21no—
2149C22—162no—
2150C22C26×C1311yescharacteristic
2151C4—22no—
2152C4—21no—
2153C4—22no—
2154C4—24no—
2155C4—22no—
2156C4—24no—
2157C4—24no—
2158C4—22no—
2159C4—21no—
2160C4—24no—
2161C4—22no—
2162C4—22no—
2163C4—21no—
2164C4—22no—
2165C4—22no—
2166C4—22no—
2167C4—22no—
2168C4—22no—
2169C4—24no—
2170C4—22no—
2171C4—22no—
2172C4—21no—
2173C4—21no—
2174C4C13×#58512yes—
2175C2—41no—
2176C2—44no—
2177C2—42no—
2178C2—42no—
2179C2—42no—
2180C2C2×C13×#58511yescharacteristic
2181C2C13×2−1+611yescharacteristic
2182C2C13×2−1+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×#3567C2semidirect
2. C13×#3566C2semidirect
3. C13×#3566C2semidirect
4. C13×#3565C2semidirect
5. C13×#3564C2semidirect
6. C13×#3564C2semidirect
7. C13×#3563C2semidirect
8. C13×#3562C2semidirect
9. C13×#3561C2semidirect
10. C13×#3561C2semidirect
11. C13×#3557C2semidirect
12. C13×#3557C2semidirect
13. C13×#3556C2semidirect
14. C13×#3555C2semidirect
15. C13×#3554C2semidirect
16. C13×#3553C2semidirect
17. C13×#3552C2semidirect
18. C13×#3552C2semidirect
19. C13×#3531C2semidirect
20. C13×#3531C2semidirect
21. C13×#3524C2semidirect
22. C13×#3523C2semidirect
23. C13×#3521C2semidirect
24. C13×#3518C2semidirect
25. C13×#3516C2semidirect
26. C13×#3515C2semidirect
27. C13×#3510C2semidirect
28. C13×#3509C2semidirect
29. C13×#3507C2semidirect
30. C13×#564C22semidirect
31. C13×#564C22semidirect
32. C13×#564C22semidirect
38. C13×#563C22semidirect
39. C13×#563C22semidirect
40. C13×#563C22semidirect
41. C13×#563C22semidirect
42. C13×#563C22semidirect
43. C13×#563C22semidirect
44. C13×#563C22semidirect
45. C13×#563C22semidirect
46. C13×#563C22semidirect
47. C13×#563C22semidirect
48. C13×#563C22semidirect
54. C13×#562C22semidirect
55. C13×#562C22semidirect
56. C13×#562C22semidirect
61. C13×#559C22semidirect
62. C13×#559C22semidirect
63. Q82×C13C22semidirect
64. C13×#557C22semidirect
65. C13×#557C22semidirect
66. C13×#557C22semidirect
67. C13×#557C22semidirect
68. C13×#557C22semidirect
69. C13×#557C22semidirect
70. C13×#557C22semidirect
71. C13×#557C22semidirect
72. C13×#557C22semidirect
73. C13×#557C22semidirect
74. C13×#557C22semidirect
84. C13×#556C22semidirect
85. C13×#556C22semidirect
86. C13×#556C22semidirect
87. C13×#556C22semidirect
88. C13×#556C22semidirect
89. C13×#556C22semidirect
91. C13×#555C22semidirect
92. C13×#555C22semidirect
94. C13×#554C22semidirect
95. C13×#554C22semidirect
96. C13×#554C22semidirect
97. C13×#554C22semidirect
98. C13×#554C22semidirect
99. C13×#554C22semidirect
100. C13×#554C22semidirect
106. C13×#553C22semidirect
107. C13×#553C22semidirect
108. C13×#553C22semidirect
113. C13×#552C22semidirect
114. C13×#552C22semidirect
115. C13×#552C22semidirect
116. C13×#552C22semidirect
117. C13×#552C22semidirect
118. C13×#552C22semidirect
119. C13×#552C22semidirect
120. C13×#552C22semidirect
121. C13×#552C22semidirect
122. C13×#552C22semidirect
123. C13×#552C22semidirect
124. C13×#552C22semidirect
125. C13×#552C22semidirect
126. C13×#552C22semidirect
137. D4×Q8×C13C22semidirect
138. D4×Q8×C13C22semidirect
139. D4×Q8×C13C22semidirect
144. C13×#548C22semidirect
147. C13×#547C22semidirect
150. C13×#544C22semidirect
151. C13×#544C22semidirect
152. C13×#544C22semidirect
164. C13×#542C22semidirect
165. C13×#542C22semidirect
166. C13×#542C22semidirect
167. C13×#542C22semidirect
168. C13×#542C22semidirect
169. C13×#542C22semidirect
170. C13×#542C22semidirect
176. C13×#541C22semidirect
177. C13×#541C22semidirect
178. C13×#541C22semidirect
179. C13×#541C22semidirect
180. C13×#541C22semidirect
181. C13×#541C22semidirect
182. C13×#541C22semidirect
183. C13×#541C22semidirect
184. C13×#541C22semidirect
185. C13×#541C22semidirect
188. C13×#540C22semidirect
189. C13×#540C22semidirect
194. C13×#539C22semidirect
195. C13×#539C22semidirect
196. C13×#539C22semidirect
197. C13×#539C22semidirect
198. C13×#539C22semidirect
199. C13×#539C22semidirect
200. C13×#539C22semidirect
201. C13×#539C22semidirect
202. C13×#539C22semidirect
212. C13×#536C22semidirect
217. C13×#533C22semidirect
218. C13×#533C22semidirect
219. C13×#533C22semidirect
220. C13×#533C22semidirect
221. C13×#533C22semidirect
222. C13×#533C22semidirect
223. C13×#533C22semidirect
225. C2×C13×C4⋊Q8C22semidirect
236. C13×#529C22semidirect
237. C13×#529C22semidirect
238. C13×#529C22semidirect
239. C13×#529C22semidirect
240. C13×#529C22semidirect
241. C13×#529C22semidirect
242. C13×#529C22semidirect
243. C13×#529C22semidirect
244. C13×#529C22semidirect
245. C13×#529C22semidirect
246. C13×#529C22semidirect
248. C2×C13×#125C22semidirect
251. C13×#520C22semidirect
253. C13×#519C22semidirect
254. C13×#519C22semidirect
258. C2×C4×Q8×C13C22semidirect
712. #63062C13direct (N × H)
951. #3567C2×C13semidirect
952. #3566C2×C13semidirect
953. #3566C2×C13semidirect
954. #3565C2×C13semidirect
955. #3564C2×C13semidirect
956. #3564C2×C13semidirect
957. #3563C2×C13semidirect
958. #3562C2×C13semidirect
959. #3561C2×C13semidirect
960. #3561C2×C13semidirect
961. #3557C2×C13semidirect
962. #3557C2×C13semidirect
963. #3556C2×C13semidirect
964. #3555C2×C13semidirect
965. #3554C2×C13semidirect
966. #3553C2×C13semidirect
967. #3552C2×C13semidirect
968. #3552C2×C13semidirect
969. #3531C2×C13semidirect
970. #3531C2×C13semidirect
971. #3524C2×C13semidirect
972. #3523C2×C13semidirect
973. #3521C2×C13semidirect
974. #3518C2×C13semidirect
975. #3516C2×C13semidirect
976. #3515C2×C13semidirect
977. #3510C2×C13semidirect
978. #3509C2×C13semidirect
979. #3507C2×C13semidirect
1072. #564C22×C13semidirect
1073. #564C22×C13semidirect
1074. #564C22×C13semidirect
1080. #563C22×C13semidirect
1081. #563C22×C13semidirect
1082. #563C22×C13semidirect
1083. #563C22×C13semidirect
1084. #563C22×C13semidirect
1085. #563C22×C13semidirect
1086. #563C22×C13semidirect
1087. #563C22×C13semidirect
1088. #563C22×C13semidirect
1089. #563C22×C13semidirect
1090. #563C22×C13semidirect
1096. #562C22×C13semidirect
1097. #562C22×C13semidirect
1098. #562C22×C13semidirect
1103. #559C22×C13semidirect
1104. #559C22×C13semidirect
1105. Q82C22×C13semidirect
1106. #557C22×C13semidirect
1107. #557C22×C13semidirect
1108. #557C22×C13semidirect
1109. #557C22×C13semidirect
1110. #557C22×C13semidirect
1111. #557C22×C13semidirect
1112. #557C22×C13semidirect
1113. #557C22×C13semidirect
1114. #557C22×C13semidirect
1115. #557C22×C13semidirect
1116. #557C22×C13semidirect
1126. #556C22×C13semidirect
1127. #556C22×C13semidirect
1128. #556C22×C13semidirect
1129. #556C22×C13semidirect
1130. #556C22×C13semidirect
1131. #556C22×C13semidirect
1133. #555C22×C13semidirect
1134. #555C22×C13semidirect
1136. #554C22×C13semidirect
1137. #554C22×C13semidirect
1138. #554C22×C13semidirect
1139. #554C22×C13semidirect
1140. #554C22×C13semidirect
1141. #554C22×C13semidirect
1142. #554C22×C13semidirect
1148. #553C22×C13semidirect
1149. #553C22×C13semidirect
1150. #553C22×C13semidirect
1155. #552C22×C13semidirect
1156. #552C22×C13semidirect
1157. #552C22×C13semidirect
1158. #552C22×C13semidirect
1159. #552C22×C13semidirect
1160. #552C22×C13semidirect
1161. #552C22×C13semidirect
1162. #552C22×C13semidirect
1163. #552C22×C13semidirect
1164. #552C22×C13semidirect
1165. #552C22×C13semidirect
1166. #552C22×C13semidirect
1167. #552C22×C13semidirect
1168. #552C22×C13semidirect
1179. D4×Q8C22×C13semidirect
1180. D4×Q8C22×C13semidirect
1181. D4×Q8C22×C13semidirect
1186. #548C22×C13semidirect
1189. #547C22×C13semidirect
1192. #544C22×C13semidirect
1193. #544C22×C13semidirect
1194. #544C22×C13semidirect
1206. #542C22×C13semidirect
1207. #542C22×C13semidirect
1208. #542C22×C13semidirect
1209. #542C22×C13semidirect
1210. #542C22×C13semidirect
1211. #542C22×C13semidirect
1212. #542C22×C13semidirect
1218. #541C22×C13semidirect
1219. #541C22×C13semidirect
1220. #541C22×C13semidirect
1221. #541C22×C13semidirect
1222. #541C22×C13semidirect
1223. #541C22×C13semidirect
1224. #541C22×C13semidirect
1225. #541C22×C13semidirect
1226. #541C22×C13semidirect
1227. #541C22×C13semidirect
1230. #540C22×C13semidirect
1231. #540C22×C13semidirect
1236. #539C22×C13semidirect
1237. #539C22×C13semidirect
1238. #539C22×C13semidirect
1239. #539C22×C13semidirect
1240. #539C22×C13semidirect
1241. #539C22×C13semidirect
1242. #539C22×C13semidirect
1243. #539C22×C13semidirect
1244. #539C22×C13semidirect
1254. #536C22×C13semidirect
1259. #533C22×C13semidirect
1260. #533C22×C13semidirect
1261. #533C22×C13semidirect
1262. #533C22×C13semidirect
1263. #533C22×C13semidirect
1264. #533C22×C13semidirect
1265. #533C22×C13semidirect
1267. C2×C4⋊Q8C22×C13semidirect
1278. #529C22×C13semidirect
1279. #529C22×C13semidirect
1280. #529C22×C13semidirect
1281. #529C22×C13semidirect
1282. #529C22×C13semidirect
1283. #529C22×C13semidirect
1284. #529C22×C13semidirect
1285. #529C22×C13semidirect
1286. #529C22×C13semidirect
1287. #529C22×C13semidirect
1288. #529C22×C13semidirect
1290. C2×#125C22×C13semidirect
1293. #520C22×C13semidirect
1295. #519C22×C13semidirect
1296. #519C22×C13semidirect
1300. C2×C4×Q8C22×C13semidirect
2041. C13#63062direct (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×#35652
C13×#35642
C13×#35632
C13×#35622
C13×#35612
C13×#35572
C13×#35562
C13×#35552
C13×#35542
C13×#35532
C13×#35522
C13×#35312
C13×#35242
C13×#35232
C13×#35212
C13×#35182
C13×#35162
C13×#35152
C13×#35102
C13×#35092
C13×#35072
#6306213