Finite Group Databasebeta

← C13×#15320 #15701659

Subgroups — C13×#15320 #15701659

Order 3328.

2830 conjugacy classes of subgroups.

The subgroup lattice has 1520 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C13×#121C211yesmaximal, characteristic, complemented
2C2×C13×#394C211yesmaximal, characteristic, complemented
3C2×C13×#392C211yesmaximal, characteristic, complemented
4C2×C13×#392C211yesmaximal, characteristic, complemented
5C2×C13×#392C211yesmaximal, characteristic, complemented
6C2×C13×#390C211yesmaximal, characteristic, complemented
7C2×C13×#388C211yesmaximal, characteristic, complemented
8C2×C13×#386C211yesmaximal, characteristic, complemented
9C13×#1441C211yesmaximal, characteristic, complemented
10C13×#1440C211yesmaximal, characteristic, complemented
11C13×#1438C211yesmaximal, characteristic, complemented
12C13×#1438C211yesmaximal, characteristic, complemented
13C13×#1438C211yesmaximal, characteristic, complemented
14C13×#1437C211yesmaximal, characteristic, complemented
15C13×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C13C2211yescharacteristic
17C23×D4×C13C2211yescharacteristic
18C23×D4×C13C2211yescharacteristic
19C23×D4×C13C2211yescharacteristic
20C23×D4×C13C2211yescharacteristic
21C23×D4×C13C2211yescharacteristic
22C24×C4×C13C2211yescharacteristic
23C2×C13×#121—24no—
24C2×C13×#121—24no—
25C2×C13×#121—24no—
26C22×C13×C4⋊C4C2211yescharacteristic
27C22×C13×C4⋊C4C2211yescharacteristic
28C22×C13×C22⋊C4C2211yescharacteristic
29C22×C13×C22⋊C4C2211yescharacteristic
30C22×C13×C22⋊C4C2211yescharacteristic
31C22×C13×C22⋊C4C2211yescharacteristic
32C22×C13×C22⋊C4C2211yescharacteristic
33C22×C13×C22⋊C4C2211yescharacteristic
34C22×C13×C22⋊C4C2211yescharacteristic
35C22×C13×C22⋊C4C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C22×C13×C22⋊C4C2211yescharacteristic
38C22×C13×C22⋊C4C2211yescharacteristic
39C22×C13×C22⋊C4C2211yescharacteristic
40C22×C13×C22⋊C4C2211yescharacteristic
41C22×C13×C22⋊C4C2211yescharacteristic
42C22×C13×C22⋊C4C2211yescharacteristic
43C22×C42×C13C2211yescharacteristic
44C13×#394—24no—
45C13×#392—24no—
46C13×#392—24no—
47C13×#392—24no—
48C13×#390—24no—
49C13×#388—24no—
50C13×#386—24no—
51C2×C13×#95C2211yescharacteristic
52C2×C13×#95C2211yescharacteristic
53C2×C13×#95C2211yescharacteristic
54C2×C13×#95C2211yescharacteristic
55C2×C13×#95C2211yescharacteristic
56C2×C13×#95C2211yescharacteristic
57C2×C13×#95C2211yescharacteristic
58C2×C13×#95C2211yescharacteristic
59C2×C13×#95C2211yescharacteristic
60C2×C13×#95C2211yescharacteristic
61C25×C13C2311yescharacteristic
62C25×C13C2311yescharacteristic
63C25×C13C2311yescharacteristic
64C25×C13C2311yescharacteristic
65C22×D4×C13—22no—
66C22×D4×C13—22no—
67C22×D4×C13—22no—
68C22×D4×C13—22no—
69C22×D4×C13—22no—
70C22×D4×C13—22no—
71C22×D4×C13—22no—
72C22×D4×C13—22no—
73C22×D4×C13—22no—
74C22×D4×C13—22no—
75C22×D4×C13—22no—
76C22×D4×C13—22no—
77C22×D4×C13—22no—
78C22×D4×C13—22no—
79C22×D4×C13—22no—
80C22×D4×C13—22no—
81C22×D4×C13—22no—
82C22×D4×C13—22no—
83C22×D4×C13—22no—
84C22×D4×C13—22no—
85C22×D4×C13—22no—
86C22×D4×C13—22no—
87C22×D4×C13—22no—
88C22×D4×C13—22no—
89C22×D4×C13—22no—
90C22×D4×C13—41no—
91C22×D4×C13—41no—
92C22×D4×C13—41no—
93C22×D4×C13—41no—
94C22×D4×C13—41no—
95C22×D4×C13—41no—
96C22×D4×C13—41no—
97C22×D4×C13—41no—
98C22×D4×C13—41no—
99C22×D4×C13—41no—
100C22×D4×C13—41no—
101C22×D4×C13—41no—
102C22×D4×C13—41no—
103C22×D4×C13—41no—
104C22×D4×C13—41no—
105C22×D4×C13—41no—
106C22×D4×C13D414yescomplemented
107C23×C4×C13—22no—
108C23×C4×C13—22no—
109C23×C4×C13—22no—
110C23×C4×C13—22no—
111C23×C4×C13—22no—
112C23×C4×C13—41no—
113C23×C4×C13—41no—
114C23×C4×C13C2311yescharacteristic
115C23×C4×C13C2311yescharacteristic
116C23×C4×C13C2311yescharacteristic
117C23×C4×C13C2311yescharacteristic
118C23×C4×C13C2311yescharacteristic
119C23×C4×C13C2311yescharacteristic
120C23×C4×C13C2311yescharacteristic
121C23×C4×C13C2311yescharacteristic
122C23×C4×C13C2311yescharacteristic
123C23×C4×C13C2311yescharacteristic
124C23×C4×C13C2311yescharacteristic
125C13×#121—232no—
126C2×C13×C4⋊C4—22no—
127C2×C13×C4⋊C4—22no—
128C2×C13×C4⋊C4—22no—
129C2×C13×C4⋊C4—22no—
130C2×C13×C4⋊C4—41no—
131C2×C13×C4⋊C4D414yescomplemented
132C2×C13×C22⋊C4—22no—
133C2×C13×C22⋊C4—22no—
134C2×C13×C22⋊C4—22no—
135C2×C13×C22⋊C4—22no—
136C2×C13×C22⋊C4—22no—
137C2×C13×C22⋊C4—22no—
138C2×C13×C22⋊C4—22no—
139C2×C13×C22⋊C4—22no—
140C2×C13×C22⋊C4—22no—
141C2×C13×C22⋊C4—22no—
142C2×C13×C22⋊C4—22no—
143C2×C13×C22⋊C4—22no—
144C2×C13×C22⋊C4—22no—
145C2×C13×C22⋊C4—22no—
146C2×C13×C22⋊C4—22no—
147C2×C13×C22⋊C4—22no—
148C2×C13×C22⋊C4—22no—
149C2×C13×C22⋊C4—22no—
150C2×C13×C22⋊C4—22no—
151C2×C13×C22⋊C4—22no—
152C2×C13×C22⋊C4—22no—
153C2×C13×C22⋊C4—22no—
154C2×C13×C22⋊C4—22no—
155C2×C13×C22⋊C4—22no—
156C2×C13×C22⋊C4—22no—
157C2×C13×C22⋊C4—22no—
158C2×C13×C22⋊C4—22no—
159C2×C13×C22⋊C4—22no—
160C2×C13×C22⋊C4—41no—
161C2×C13×C22⋊C4—41no—
162C2×C13×C22⋊C4—41no—
163C2×C13×C22⋊C4—41no—
164C2×C13×C22⋊C4—41no—
165C2×C13×C22⋊C4—41no—
166C2×C13×C22⋊C4—41no—
167C2×C13×C22⋊C4—41no—
168C2×C13×C22⋊C4—41no—
169C2×C13×C22⋊C4—41no—
170C2×C13×C22⋊C4—41no—
171C2×C13×C22⋊C4—41no—
172C2×C13×C22⋊C4—41no—
173C2×C13×C22⋊C4—41no—
174C2×C13×C22⋊C4D414yescomplemented
175C2×C13×C22⋊C4D414yescomplemented
176C2×C13×C22⋊C4D414yescomplemented
177C2×C42×C13—22no—
178C2×C42×C13—22no—
179C2×C42×C13—41no—
180C13×#95—22no—
181C13×#95—22no—
182C13×#95—22no—
183C13×#95—22no—
184C13×#95—22no—
185C13×#95—22no—
186C13×#95—22no—
187C13×#95—22no—
188C13×#95—41no—
189C13×#95—41no—
190#15320C1311yesmaximal, characteristic, direct product factor, Sylow
191C24×C13—21no—
192C24×C13—21no—
193C24×C13—21no—
194C24×C13—21no—
195C24×C13—21no—
196C24×C13—21no—
197C24×C13—21no—
198C24×C13—21no—
199C24×C13—21no—
200C24×C13—21no—
201C24×C13—21no—
202C24×C13—21no—
203C24×C13—21no—
204C24×C13—21no—
205C24×C13—21no—
206C24×C13—21no—
207C24×C13—21no—
208C24×C13—21no—
209C24×C13—21no—
210C24×C13—21no—
211C24×C13—21no—
212C24×C13—21no—
213C24×C13—21no—
214C24×C13—21no—
215C24×C13—21no—
216C24×C13—21no—
217C24×C13—21no—
218C24×C13—21no—
219C24×C13—21no—
220C24×C13—21no—
221C24×C13—21no—
222C24×C13—21no—
223C24×C13—21no—
224C24×C13—21no—
225C24×C13—21no—
226C24×C13—21no—
227C24×C13—21no—
228C24×C13—21no—
229C24×C13—21no—
230C24×C13—21no—
231C24×C13—21no—
232C24×C13—21no—
233C24×C13—21no—
234C24×C13—21no—
235C24×C13—21no—
236C24×C13—21no—
237C24×C13—21no—
238C24×C13—21no—
239C24×C13—21no—
240C24×C13—21no—
241C24×C13—21no—
242C24×C13—21no—
243C24×C13—21no—
244C24×C13—21no—
245C24×C13C2×D412yes—
246C24×C13C2×D412yes—
247C24×C13C2×D412yes—
248C24×C13C2×D412yes—
249C24×C13C2×D412yes—
250C24×C13#4112yes—
251C24×C13C2411yescharacteristic
252C2×D4×C13—28no—
253C2×D4×C13—28no—
254C2×D4×C13—28no—
255C2×D4×C13—28no—
256C2×D4×C13—28no—
257C2×D4×C13—44no—
258C2×D4×C13—44no—
259C2×D4×C13—44no—
260C2×D4×C13—44no—
261C2×D4×C13—44no—
262C2×D4×C13—44no—
263C2×D4×C13—44no—
264C2×D4×C13—44no—
265C2×D4×C13—44no—
266C2×D4×C13—44no—
267C2×D4×C13—44no—
268C2×D4×C13—44no—
269C2×D4×C13—44no—
270C2×D4×C13—44no—
271C2×D4×C13—44no—
272C2×D4×C13—44no—
273C2×D4×C13—44no—
274C2×D4×C13—44no—
275C2×D4×C13—44no—
276C2×D4×C13—44no—
277C2×D4×C13—44no—
278C2×D4×C13—44no—
279C2×D4×C13—44no—
280C2×D4×C13—44no—
281C2×D4×C13—44no—
282C2×D4×C13—44no—
283C2×D4×C13—44no—
284C2×D4×C13—44no—
285C2×D4×C13—44no—
286C2×D4×C13—44no—
287C2×D4×C13—44no—
288C2×D4×C13—44no—
289C2×D4×C13—44no—
290C2×D4×C13—44no—
291C2×D4×C13—44no—
292C2×D4×C13—44no—
293C2×D4×C13—44no—
294C22×C4×C13—21no—
295C22×C4×C13—21no—
296C22×C4×C13—21no—
297C22×C4×C13—21no—
298C22×C4×C13—21no—
299C22×C4×C13—21no—
300C22×C4×C13—21no—
301C22×C4×C13—21no—
302C22×C4×C13—28no—
303C22×C4×C13—21no—
304C22×C4×C13—21no—
305C22×C4×C13—21no—
306C22×C4×C13—21no—
307C22×C4×C13—21no—
308C22×C4×C13—21no—
309C22×C4×C13—21no—
310C22×C4×C13—21no—
311C22×C4×C13—21no—
312C22×C4×C13—21no—
313C22×C4×C13—21no—
314C22×C4×C13—21no—
315C22×C4×C13—21no—
316C22×C4×C13—21no—
317C22×C4×C13—21no—
318C22×C4×C13—21no—
319C22×C4×C13—21no—
320C22×C4×C13—21no—
321C22×C4×C13—21no—
322C22×C4×C13—21no—
323C22×C4×C13—21no—
324C22×C4×C13—21no—
325C22×C4×C13—21no—
326C22×C4×C13—21no—
327C22×C4×C13—21no—
328C22×C4×C13—21no—
329C22×C4×C13—21no—
330C22×C4×C13—21no—
331C22×C4×C13—21no—
332C22×C4×C13—21no—
333C22×C4×C13—21no—
334C22×C4×C13—21no—
335C22×C4×C13—21no—
336C22×C4×C13—21no—
337C22×C4×C13—21no—
338C22×C4×C13—21no—
339C22×C4×C13—21no—
340C22×C4×C13—21no—
341C22×C4×C13—21no—
342C22×C4×C13—21no—
343C22×C4×C13—21no—
344C22×C4×C13—21no—
345C22×C4×C13—21no—
346C22×C4×C13—21no—
347C22×C4×C13—21no—
348C22×C4×C13—21no—
349C22×C4×C13—21no—
350C22×C4×C13—21no—
351C22×C4×C13—21no—
352C22×C4×C13—21no—
353C22×C4×C13—21no—
354C22×C4×C13—21no—
355C22×C4×C13—21no—
356C22×C4×C13—21no—
357C22×C4×C13—21no—
358C22×C4×C13—21no—
359C22×C4×C13—44no—
360C22×C4×C13—44no—
361C22×C4×C13—44no—
362C22×C4×C13—44no—
363C22×C4×C13—44no—
364C22×C4×C13—44no—
365C22×C4×C13C2×D412yes—
366C22×C4×C13C2×D412yes—
367C22×C4×C13C2×D412yes—
368C22×C4×C13C2×D412yes—
369C22×C4×C13C2×D412yes—
370C22×C4×C13C2×D412yes—
371C22×C4×C13C2×D412yes—
372C22×C4×C13C2×D412yes—
373C22×C4×C13C2×D412yes—
374C22×C4×C13C2×D412yes—
375C22×C4×C13#4112yes—
376C22×C4×C13#4112yes—
377C22×C4×C13#4112yes—
378C13×C4⋊C4—28no—
379C13×C4⋊C4—44no—
380C13×C22⋊C4—28no—
381C13×C22⋊C4—28no—
382C13×C22⋊C4—28no—
383C13×C22⋊C4—44no—
384C13×C22⋊C4—44no—
385C13×C22⋊C4—44no—
386C13×C22⋊C4—44no—
387C13×C22⋊C4—44no—
388C13×C22⋊C4—44no—
389C13×C22⋊C4—44no—
390C13×C22⋊C4—44no—
391C13×C22⋊C4—44no—
392C13×C22⋊C4—44no—
393C13×C22⋊C4—44no—
394C13×C22⋊C4—44no—
395C42×C13—44no—
396C22×#121C2×C1311yescharacteristic, complemented
397C2×#394C2×C1311yescharacteristic, complemented
398C2×#392C2×C1311yescharacteristic, complemented
399C2×#392C2×C1311yescharacteristic, complemented
400C2×#392C2×C1311yescharacteristic, complemented
401C2×#390C2×C1311yescharacteristic, complemented
402C2×#388C2×C1311yescharacteristic, complemented
403C2×#386C2×C1311yescharacteristic, complemented
404#1441C2×C1311yescharacteristic, complemented
405#1440C2×C1311yescharacteristic, complemented
406#1438C2×C1311yescharacteristic, complemented
407#1438C2×C1311yescharacteristic, complemented
408#1438C2×C1311yescharacteristic, complemented
409#1437C2×C1311yescharacteristic, complemented
410C22⋊#95C2×C1311yescharacteristic, complemented
411C23×C13—22no—
412C23×C13—22no—
413C23×C13—22no—
414C23×C13—22no—
415C23×C13—22no—
416C23×C13—22no—
417C23×C13—22no—
418C23×C13—22no—
419C23×C13—22no—
420C23×C13—22no—
421C23×C13—22no—
422C23×C13—22no—
423C23×C13—22no—
424C23×C13—22no—
425C23×C13—22no—
426C23×C13—22no—
427C23×C13—22no—
428C23×C13—22no—
429C23×C13—22no—
430C23×C13—22no—
431C23×C13—22no—
432C23×C13—22no—
433C23×C13—22no—
434C23×C13—22no—
435C23×C13—22no—
436C23×C13—22no—
437C23×C13—22no—
438C23×C13—22no—
439C23×C13—22no—
440C23×C13—22no—
441C23×C13—22no—
442C23×C13—22no—
443C23×C13—22no—
444C23×C13—22no—
445C23×C13—22no—
446C23×C13—22no—
447C23×C13—22no—
448C23×C13—22no—
449C23×C13—22no—
450C23×C13—41no—
451C23×C13—41no—
452C23×C13—41no—
453C23×C13—41no—
454C23×C13—41no—
455C23×C13—41no—
456C23×C13—41no—
457C23×C13—41no—
458C23×C13—41no—
459C23×C13—41no—
460C23×C13—41no—
461C23×C13—41no—
462C23×C13—41no—
463C23×C13—41no—
464C23×C13—41no—
465C23×C13—41no—
466C23×C13—41no—
467C23×C13—41no—
468C23×C13—41no—
469C23×C13—41no—
470C23×C13—41no—
471C23×C13—41no—
472C23×C13—41no—
473C23×C13—41no—
474C23×C13—41no—
475C23×C13—41no—
476C23×C13—41no—
477C23×C13—41no—
478C23×C13—41no—
479C23×C13—41no—
480C23×C13—41no—
481C23×C13—41no—
482C23×C13—41no—
483C23×C13—41no—
484C23×C13—41no—
485C23×C13—41no—
486C23×C13—41no—
487C23×C13—41no—
488C23×C13—41no—
489C23×C13—41no—
490C23×C13—41no—
491C23×C13—41no—
492C23×C13—41no—
493C23×C13—41no—
494C23×C13—41no—
495C23×C13—41no—
496C23×C13—41no—
497C23×C13—41no—
498C23×C13—41no—
499C23×C13—41no—
500C23×C13—41no—
501C23×C13—41no—
502C23×C13—41no—
503C23×C13—41no—
504C23×C13—41no—
505C23×C13—41no—
506C23×C13—41no—
507C23×C13—41no—
508C23×C13—41no—
509C23×C13—41no—
510C23×C13—41no—
511C23×C13—41no—
512C23×C13—41no—
513C23×C13—41no—
514C23×C13—41no—
515C23×C13—41no—
516C23×C13—41no—
517C23×C13—41no—
518C23×C13—41no—
519C23×C13—41no—
520C23×C13—41no—
521C23×C13—41no—
522C23×C13—41no—
523C23×C13—41no—
524C23×C13—41no—
525C23×C13—41no—
526C23×C13—41no—
527C23×C13—41no—
528C23×C13—41no—
529C23×C13—41no—
530C23×C13—41no—
531C23×C13—41no—
532C23×C13—41no—
533C23×C13—41no—
534C23×C13—41no—
535C23×C13—41no—
536C23×C13—41no—
537C23×C13—41no—
538C23×C13—41no—
539C23×C13—41no—
540C23×C13—41no—
541C23×C13—41no—
542C23×C13—41no—
543C23×C13—41no—
544C23×C13—41no—
545C23×C13—41no—
546C23×C13—41no—
547C23×C13—41no—
548C23×C13—41no—
549C23×C13—41no—
550C23×C13#12114yes—
551C23×C13C22×D411yescharacteristic
552C23×C13C22×D411yescharacteristic
553C23×C13C22×D411yescharacteristic
554C23×C13C22×D411yescharacteristic
555C23×C13C22×D411yescharacteristic
556C23×C13C2×#4111yescharacteristic
557C23×C13C2×#4111yescharacteristic
558C23×C13C2×#4111yescharacteristic
559C23×C13C2×#4111yescharacteristic
560C23×C13H(5,𝔽2)11yescharacteristic
561C23×C13H(5,𝔽2)11yescharacteristic
562C23×C13H(5,𝔽2)11yescharacteristic
563C23×C13H(5,𝔽2)11yescharacteristic
564C23×C13H(5,𝔽2)11yescharacteristic
565C23×C13H(5,𝔽2)11yescharacteristic
566D4×C13—416no—
567D4×C13—416no—
568D4×C13—416no—
569D4×C13—416no—
570D4×C13—416no—
571D4×C13—416no—
572C2×C4×C13—22no—
573C2×C4×C13—22no—
574C2×C4×C13—22no—
575C2×C4×C13—22no—
576C2×C4×C13—22no—
577C2×C4×C13—22no—
578C2×C4×C13—22no—
579C2×C4×C13—22no—
580C2×C4×C13—22no—
581C2×C4×C13—22no—
582C2×C4×C13—22no—
583C2×C4×C13—22no—
584C2×C4×C13—22no—
585C2×C4×C13—22no—
586C2×C4×C13—22no—
587C2×C4×C13—22no—
588C2×C4×C13—22no—
589C2×C4×C13—22no—
590C2×C4×C13—22no—
591C2×C4×C13—22no—
592C2×C4×C13—22no—
593C2×C4×C13—22no—
594C2×C4×C13—22no—
595C2×C4×C13—22no—
596C2×C4×C13—22no—
597C2×C4×C13—22no—
598C2×C4×C13—22no—
599C2×C4×C13—22no—
600C2×C4×C13—22no—
601C2×C4×C13—22no—
602C2×C4×C13—22no—
603C2×C4×C13—22no—
604C2×C4×C13—22no—
605C2×C4×C13—416no—
606C2×C4×C13—41no—
607C2×C4×C13—41no—
608C2×C4×C13—41no—
609C2×C4×C13—41no—
610C2×C4×C13—41no—
611C2×C4×C13—41no—
612C2×C4×C13—41no—
613C2×C4×C13—41no—
614C2×C4×C13—41no—
615C2×C4×C13—41no—
616C2×C4×C13—41no—
617C2×C4×C13—41no—
618C2×C4×C13—41no—
619C2×C4×C13—41no—
620C2×C4×C13—41no—
621C2×C4×C13—41no—
622C2×C4×C13—41no—
623C2×C4×C13—41no—
624C2×C4×C13—41no—
625C2×C4×C13—41no—
626C2×C4×C13—41no—
627C2×C4×C13—41no—
628C2×C4×C13—41no—
629C2×C4×C13—41no—
630C2×C4×C13—41no—
631C2×C4×C13—41no—
632C2×C4×C13—41no—
633C2×C4×C13—41no—
634C2×C4×C13—41no—
635C2×C4×C13—41no—
636C2×C4×C13—41no—
637C2×C4×C13—41no—
638C2×C4×C13—41no—
639C2×C4×C13—41no—
640C2×C4×C13—41no—
641C2×C4×C13—41no—
642C2×C4×C13—41no—
643C2×C4×C13—41no—
644C2×C4×C13—41no—
645C2×C4×C13—41no—
646C2×C4×C13—41no—
647C2×C4×C13—41no—
648C2×C4×C13#12014yes—
649C2×C4×C13#12114yes—
650C23×D4C22×C1311yescharacteristic
651C23×D4C22×C1311yescharacteristic
652C23×D4C22×C1311yescharacteristic
653C23×D4C22×C1311yescharacteristic
654C23×D4C22×C1311yescharacteristic
655C23×D4C22×C1311yescharacteristic
656C24×C4C22×C1311yescharacteristic
657C2×#121—24no—
658C2×#121—24no—
659C2×#121—24no—
660C22×C4⋊C4C22×C1311yescharacteristic
661C22×C4⋊C4C22×C1311yescharacteristic
662C22×C22⋊C4C22×C1311yescharacteristic
663C22×C22⋊C4C22×C1311yescharacteristic
664C22×C22⋊C4C22×C1311yescharacteristic
665C22×C22⋊C4C22×C1311yescharacteristic
666C22×C22⋊C4C22×C1311yescharacteristic
667C22×C22⋊C4C22×C1311yescharacteristic
668C22×C22⋊C4C22×C1311yescharacteristic
669C22×C22⋊C4C22×C1311yescharacteristic
670C22×C22⋊C4C22×C1311yescharacteristic
671C22×C22⋊C4C22×C1311yescharacteristic
672C22×C22⋊C4C22×C1311yescharacteristic
673C22×C22⋊C4C22×C1311yescharacteristic
674C22×C22⋊C4C22×C1311yescharacteristic
675C22×C22⋊C4C22×C1311yescharacteristic
676C22×C22⋊C4C22×C1311yescharacteristic
677C22×C42C22×C1311yescharacteristic
678#394—24no—
679#392—24no—
680#392—24no—
681#392—24no—
682#390—24no—
683#388—24no—
684#386—24no—
685C2×#95C22×C1311yescharacteristic
686C2×#95C22×C1311yescharacteristic
687C2×#95C22×C1311yescharacteristic
688C2×#95C22×C1311yescharacteristic
689C2×#95C22×C1311yescharacteristic
690C2×#95C22×C1311yescharacteristic
691C2×#95C22×C1311yescharacteristic
692C2×#95C22×C1311yescharacteristic
693C2×#95C22×C1311yescharacteristic
694C2×#95C22×C1311yescharacteristic
695C22×C13—24no—
696C22×C13—24no—
697C22×C13—24no—
698C22×C13—42no—
699C22×C13—42no—
700C22×C13—42no—
701C22×C13—42no—
702C22×C13—42no—
703C22×C13—42no—
704C22×C13—42no—
705C22×C13—42no—
706C22×C13—42no—
707C22×C13—42no—
708C22×C13—42no—
709C22×C13—42no—
710C22×C13—42no—
711C22×C13—42no—
712C22×C13—42no—
713C22×C13—42no—
714C22×C13—42no—
715C22×C13—42no—
716C22×C13—42no—
717C22×C13—42no—
718C22×C13—42no—
719C22×C13—42no—
720C22×C13—42no—
721C22×C13—42no—
722C22×C13—42no—
723C22×C13—42no—
724C22×C13—42no—
725C22×C13—42no—
726C22×C13—42no—
727C22×C13—42no—
728C22×C13—42no—
729C22×C13—42no—
730C22×C13—42no—
731C22×C13—81no—
732C22×C13—81no—
733C22×C13—81no—
734C22×C13—81no—
735C22×C13—81no—
736C22×C13—81no—
737C22×C13—81no—
738C22×C13—81no—
739C22×C13—81no—
740C22×C13—81no—
741C22×C13—81no—
742C22×C13—81no—
743C22×C13—81no—
744C22×C13—81no—
745C22×C13—81no—
746C22×C13—81no—
747C22×C13—81no—
748C22×C13—81no—
749C22×C13—81no—
750C22×C13—81no—
751C22×C13—81no—
752C22×C13—81no—
753C22×C13—81no—
754C22×C13—81no—
755C22×C13C2×#12011yescharacteristic
756C22×C13C2×#12111yescharacteristic
757C22×C13C2×#12111yescharacteristic
758C22×C13#52511yescharacteristic
759C22×C13#53211yescharacteristic
760C22×C13#53211yescharacteristic
761C22×C13#53411yescharacteristic
762C22×C13#53411yescharacteristic
763C22×C13#53511yescharacteristic
764C22×C13#53511yescharacteristic
765C22×C13#53511yescharacteristic
766C22×C13#53811yescharacteristic
767C22×C13#53811yescharacteristic
768C22×C13#54011yescharacteristic
769C22×C13#54011yescharacteristic
770C22×C13D4211yescharacteristic
771C22×C13D4211yescharacteristic
772C22×C13D4211yescharacteristic
773C22×C13D4211yescharacteristic
774C22×C13D4211yescharacteristic
775C22×C13#54611yescharacteristic
776C22×C13#54611yescharacteristic
777C22×C13#54611yescharacteristic
778C22×C13#54611yescharacteristic
779C22×C13#54611yescharacteristic
780C22×C13#54611yescharacteristic
781C22×C13#54611yescharacteristic
782C22×C13#54611yescharacteristic
783C22×C13#55011yescharacteristic
784C22×C13#55011yescharacteristic
785C22×C13#55311yescharacteristic
786C22×C13#55311yescharacteristic
787C22×C13#55511yescharacteristic
788C22×C13#56011yescharacteristic
789C22×C13#56011yescharacteristic
790C4×C13—24no—
791C4×C13—24no—
792C4×C13—42no—
793C4×C13—42no—
794C4×C13—42no—
795C4×C13—42no—
796C4×C13—42no—
797C4×C13—42no—
798C4×C13—42no—
799C4×C13—81no—
800C4×C13—81no—
801C25C23×C1311yescharacteristic
802C25C23×C1311yescharacteristic
803C25C23×C1311yescharacteristic
804C25C23×C1311yescharacteristic
805C22×D4—22no—
806C22×D4—22no—
807C22×D4—22no—
808C22×D4—22no—
809C22×D4—22no—
810C22×D4—22no—
811C22×D4—22no—
812C22×D4—22no—
813C22×D4—22no—
814C22×D4—22no—
815C22×D4—22no—
816C22×D4—22no—
817C22×D4—22no—
818C22×D4—22no—
819C22×D4—22no—
820C22×D4—22no—
821C22×D4—22no—
822C22×D4—22no—
823C22×D4—22no—
824C22×D4—22no—
825C22×D4—22no—
826C22×D4—22no—
827C22×D4—22no—
828C22×D4—22no—
829C22×D4—22no—
830C22×D4—41no—
831C22×D4—41no—
832C22×D4—41no—
833C22×D4—41no—
834C22×D4—41no—
835C22×D4—41no—
836C22×D4—41no—
837C22×D4—41no—
838C22×D4—41no—
839C22×D4—41no—
840C22×D4—41no—
841C22×D4—41no—
842C22×D4—41no—
843C22×D4—41no—
844C22×D4—41no—
845C22×D4—41no—
846C22×D4D4×C1314yescomplemented
847C23×C4—22no—
848C23×C4—22no—
849C23×C4—22no—
850C23×C4—22no—
851C23×C4—22no—
852C23×C4—41no—
853C23×C4—41no—
854C23×C4C23×C1311yescharacteristic
855C23×C4C23×C1311yescharacteristic
856C23×C4C23×C1311yescharacteristic
857C23×C4C23×C1311yescharacteristic
858C23×C4C23×C1311yescharacteristic
859C23×C4C23×C1311yescharacteristic
860C23×C4C23×C1311yescharacteristic
861C23×C4C23×C1311yescharacteristic
862C23×C4C23×C1311yescharacteristic
863C23×C4C23×C1311yescharacteristic
864C23×C4C23×C1311yescharacteristic
865#121—232no—
866C2×C4⋊C4—22no—
867C2×C4⋊C4—22no—
868C2×C4⋊C4—22no—
869C2×C4⋊C4—22no—
870C2×C4⋊C4—41no—
871C2×C4⋊C4D4×C1314yescomplemented
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—22no—
875C2×C22⋊C4—22no—
876C2×C22⋊C4—22no—
877C2×C22⋊C4—22no—
878C2×C22⋊C4—22no—
879C2×C22⋊C4—22no—
880C2×C22⋊C4—22no—
881C2×C22⋊C4—22no—
882C2×C22⋊C4—22no—
883C2×C22⋊C4—22no—
884C2×C22⋊C4—22no—
885C2×C22⋊C4—22no—
886C2×C22⋊C4—22no—
887C2×C22⋊C4—22no—
888C2×C22⋊C4—22no—
889C2×C22⋊C4—22no—
890C2×C22⋊C4—22no—
891C2×C22⋊C4—22no—
892C2×C22⋊C4—22no—
893C2×C22⋊C4—22no—
894C2×C22⋊C4—22no—
895C2×C22⋊C4—22no—
896C2×C22⋊C4—22no—
897C2×C22⋊C4—22no—
898C2×C22⋊C4—22no—
899C2×C22⋊C4—22no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4—41no—
914C2×C22⋊C4D4×C1314yescomplemented
915C2×C22⋊C4D4×C1314yescomplemented
916C2×C22⋊C4D4×C1314yescomplemented
917C2×C42—22no—
918C2×C42—22no—
919C2×C42—41no—
920#95—22no—
921#95—22no—
922#95—22no—
923#95—22no—
924#95—22no—
925#95—22no—
926#95—22no—
927#95—22no—
928#95—41no—
929#95—41no—
930C2×C13—44no—
931C2×C13—82no—
932C2×C13—82no—
933C2×C13—82no—
934C2×C13#240811yescharacteristic
935C2×C13#241011yescharacteristic
936C2×C13#241411yescharacteristic
937C2×C13#242411yescharacteristic
938C2×C13#242811yescharacteristic
939C2×C13#243111yescharacteristic
940C2×C13#246411yescharacteristic
941C2×C13#254311yescharacteristic
942C2×C13#255511yescharacteristic
943C2×C13#266911yescharacteristic
944C2×C13#267311yescharacteristic
945C2×C13#267811yescharacteristic
946C2×C13#269911yescharacteristic
947C2×C13#270311yescharacteristic
948C2×C13#271411yescharacteristic
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24C2×D4×C1312yes—
1004C24C2×D4×C1312yes—
1005C24C2×D4×C1312yes—
1006C24C2×D4×C1312yes—
1007C24C2×D4×C1312yes—
1008C24C13×#4112yes—
1009C24C24×C1311yescharacteristic
1010C2×D4—28no—
1011C2×D4—28no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—28no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4C2×D4×C1312yes—
1124C22×C4C2×D4×C1312yes—
1125C22×C4C2×D4×C1312yes—
1126C22×C4C2×D4×C1312yes—
1127C22×C4C2×D4×C1312yes—
1128C22×C4C2×D4×C1312yes—
1129C22×C4C2×D4×C1312yes—
1130C22×C4C2×D4×C1312yes—
1131C22×C4C2×D4×C1312yes—
1132C22×C4C2×D4×C1312yes—
1133C22×C4C13×#4112yes—
1134C22×C4C13×#4112yes—
1135C22×C4C13×#4112yes—
1136C4⋊C4—28no—
1137C4⋊C4—44no—
1138C22⋊C4—28no—
1139C22⋊C4—28no—
1140C22⋊C4—28no—
1141C22⋊C4—44no—
1142C22⋊C4—44no—
1143C22⋊C4—44no—
1144C22⋊C4—44no—
1145C22⋊C4—44no—
1146C22⋊C4—44no—
1147C22⋊C4—44no—
1148C22⋊C4—44no—
1149C22⋊C4—44no—
1150C22⋊C4—44no—
1151C22⋊C4—44no—
1152C22⋊C4—44no—
1153C42—44no—
1154C13#1532011yescharacteristic, direct product factor, Sylow
1155C23—22no—
1156C23—22no—
1157C23—22no—
1158C23—22no—
1159C23—22no—
1160C23—22no—
1161C23—22no—
1162C23—22no—
1163C23—22no—
1164C23—22no—
1165C23—22no—
1166C23—22no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—22no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—22no—
1175C23—22no—
1176C23—22no—
1177C23—22no—
1178C23—22no—
1179C23—22no—
1180C23—22no—
1181C23—22no—
1182C23—22no—
1183C23—22no—
1184C23—22no—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23—41no—
1269C23—41no—
1270C23—41no—
1271C23—41no—
1272C23—41no—
1273C23—41no—
1274C23—41no—
1275C23—41no—
1276C23—41no—
1277C23—41no—
1278C23—41no—
1279C23—41no—
1280C23—41no—
1281C23—41no—
1282C23—41no—
1283C23—41no—
1284C23—41no—
1285C23—41no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23C13×#12114yes—
1295C23C22×D4×C1311yescharacteristic
1296C23C22×D4×C1311yescharacteristic
1297C23C22×D4×C1311yescharacteristic
1298C23C22×D4×C1311yescharacteristic
1299C23C22×D4×C1311yescharacteristic
1300C23C2×C13×#4111yescharacteristic
1301C23C2×C13×#4111yescharacteristic
1302C23C2×C13×#4111yescharacteristic
1303C23C2×C13×#4111yescharacteristic
1304C23C13×H(5,𝔽2)11yescharacteristic
1305C23C13×H(5,𝔽2)11yescharacteristic
1306C23C13×H(5,𝔽2)11yescharacteristic
1307C23C13×H(5,𝔽2)11yescharacteristic
1308C23C13×H(5,𝔽2)11yescharacteristic
1309C23C13×H(5,𝔽2)11yescharacteristic
1310D4—416no—
1311D4—416no—
1312D4—416no—
1313D4—416no—
1314D4—416no—
1315D4—416no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—416no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4C13×#12014yes—
1393C2×C4C13×#12114yes—
1394C22—24no—
1395C22—24no—
1396C22—24no—
1397C22—42no—
1398C22—42no—
1399C22—42no—
1400C22—42no—
1401C22—42no—
1402C22—42no—
1403C22—42no—
1404C22—42no—
1405C22—42no—
1406C22—42no—
1407C22—42no—
1408C22—42no—
1409C22—42no—
1410C22—42no—
1411C22—42no—
1412C22—42no—
1413C22—42no—
1414C22—42no—
1415C22—42no—
1416C22—42no—
1417C22—42no—
1418C22—42no—
1419C22—42no—
1420C22—42no—
1421C22—42no—
1422C22—42no—
1423C22—42no—
1424C22—42no—
1425C22—42no—
1426C22—42no—
1427C22—42no—
1428C22—42no—
1429C22—42no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22C2×C13×#12011yescharacteristic
1455C22C2×C13×#12111yescharacteristic
1456C22C2×C13×#12111yescharacteristic
1457C22C13×#52511yescharacteristic
1458C22C13×#53211yescharacteristic
1459C22C13×#53211yescharacteristic
1460C22C13×#53411yescharacteristic
1461C22C13×#53411yescharacteristic
1462C22C13×#53511yescharacteristic
1463C22C13×#53511yescharacteristic
1464C22C13×#53511yescharacteristic
1465C22C13×#53811yescharacteristic
1466C22C13×#53811yescharacteristic
1467C22C13×#54011yescharacteristic
1468C22C13×#54011yescharacteristic
1469C22D42×C1311yescharacteristic
1470C22D42×C1311yescharacteristic
1471C22D42×C1311yescharacteristic
1472C22D42×C1311yescharacteristic
1473C22D42×C1311yescharacteristic
1474C22C13×#54611yescharacteristic
1475C22C13×#54611yescharacteristic
1476C22C13×#54611yescharacteristic
1477C22C13×#54611yescharacteristic
1478C22C13×#54611yescharacteristic
1479C22C13×#54611yescharacteristic
1480C22C13×#54611yescharacteristic
1481C22C13×#54611yescharacteristic
1482C22C13×#55011yescharacteristic
1483C22C13×#55011yescharacteristic
1484C22C13×#55311yescharacteristic
1485C22C13×#55311yescharacteristic
1486C22C13×#55511yescharacteristic
1487C22C13×#56011yescharacteristic
1488C22C13×#56011yescharacteristic
1489C4—24no—
1490C4—24no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—81no—
1499C4—81no—
1500C2—44no—
1501C2—82no—
1502C2—82no—
1503C2—82no—
1504C2C13×#240811yescharacteristic
1505C2C13×#241011yescharacteristic
1506C2C13×#241411yescharacteristic
1507C2C13×#242411yescharacteristic
1508C2C13×#242811yescharacteristic
1509C2C13×#243111yescharacteristic
1510C2C13×#246411yescharacteristic
1511C2C13×#254311yescharacteristic
1512C2C13×#255511yescharacteristic
1513C2C13×#266911yescharacteristic
1514C2C13×#267311yescharacteristic
1515C2C13×#267811yescharacteristic
1516C2C13×#269911yescharacteristic
1517C2C13×#270311yescharacteristic
1518C2C13×#271411yescharacteristic
subgroupG/H
center, socleC24×C13C24
commutator, Frattini, cosocleC24C24×C13
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C13 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C13×#121C2semidirect
2. C2×C13×#394C2semidirect
3. C2×C13×#392C2semidirect
4. C2×C13×#392C2semidirect
5. C2×C13×#392C2semidirect
6. C2×C13×#390C2semidirect
7. C2×C13×#388C2semidirect
8. C2×C13×#386C2semidirect
9. C13×#1441C2semidirect
10. C13×#1440C2semidirect
11. C13×#1438C2semidirect
12. C13×#1438C2semidirect
13. C13×#1438C2semidirect
14. C13×#1437C2semidirect
15. C13×C22⋊#95C2semidirect
106. C22×D4×C13D4semidirect
131. C2×C13×C4⋊C4D4semidirect
174. C2×C13×C22⋊C4D4semidirect
175. C2×C13×C22⋊C4D4semidirect
176. C2×C13×C22⋊C4D4semidirect
190. #15320C13direct (N × H)
396. C22×#121C2×C13semidirect
397. C2×#394C2×C13semidirect
398. C2×#392C2×C13semidirect
399. C2×#392C2×C13semidirect
400. C2×#392C2×C13semidirect
401. C2×#390C2×C13semidirect
402. C2×#388C2×C13semidirect
403. C2×#386C2×C13semidirect
404. #1441C2×C13semidirect
405. #1440C2×C13semidirect
406. #1438C2×C13semidirect
407. #1438C2×C13semidirect
408. #1438C2×C13semidirect
409. #1437C2×C13semidirect
410. C22⋊#95C2×C13semidirect
846. C22×D4D4×C13semidirect
871. C2×C4⋊C4D4×C13semidirect
914. C2×C22⋊C4D4×C13semidirect
915. C2×C22⋊C4D4×C13semidirect
916. C2×C22⋊C4D4×C13semidirect
1154. C13#15320direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C13×#1212
C2×C13×#3942
C2×C13×#3922
C2×C13×#3902
C2×C13×#3882
C2×C13×#3862
C13×#14412
C13×#14402
C13×#14382
C13×#14372
C13×C22⋊#952
#1532013