Finite Group Databasebeta

← C2×#13129361 #16770275

Subgroups — C2×#13129361 #16770275

Order 3328.

7194 conjugacy classes of subgroups.

The subgroup lattice has 1956 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129361C2132yesmaximal, direct product factor
2C2×#11719356C211yesmaximal, characteristic, complemented
3C2×#11719440C211yesmaximal, characteristic, complemented
4C2×#11719352C211yesmaximal, characteristic, complemented
5C2×#11719326C211yesmaximal, characteristic, complemented
6C2×#11719216C211yesmaximal, characteristic, complemented
7C2×#11719341C211yesmaximal, characteristic, complemented
8C2×#11719245C211yesmaximal, characteristic, complemented
9C2×#11719245C211yesmaximal, characteristic, complemented
10C2×#11719366C211yesmaximal, characteristic, complemented
11C2×#11719306C211yesmaximal, characteristic, complemented
12C2×#11719212C211yesmaximal, characteristic, complemented
13C2×#11719529C211yesmaximal, characteristic, complemented
14C2×#11719529C211yesmaximal, characteristic, complemented
15C2×#11719360C211yesmaximal, characteristic, complemented
16C2×#11719360C211yesmaximal, characteristic, complemented
17C2×#11719328C211yesmaximal, characteristic, complemented
18C2×#11719434C211yesmaximal, characteristic, complemented
19C2×#11719368C211yesmaximal, characteristic, complemented
20C2×#11719320C211yesmaximal, characteristic, complemented
21C2×#11719220C211yesmaximal, characteristic, complemented
22C2×#11719343C211yesmaximal, characteristic, complemented
23C2×#11719370C211yesmaximal, characteristic, complemented
24C2×#11719365C211yesmaximal, characteristic, complemented
25C2×#11719269C211yesmaximal, characteristic, complemented
26C2×#11719269C211yesmaximal, characteristic, complemented
27C2×#11719538C211yesmaximal, characteristic, complemented
28C2×#11719302C211yesmaximal, characteristic, complemented
29C2×#11719537C211yesmaximal, characteristic, complemented
30C2×#11719354C211yesmaximal, characteristic, complemented
31C22×#88143C211yesmaximal, characteristic, complemented
32C2×C13×#547C211yesmaximal, characteristic, complemented
33C22×C13×#41C2211yescharacteristic
34C22×C13×#41C2211yescharacteristic
35C22×#6129C2211yescharacteristic
36C22×#6129C2211yescharacteristic
37C22×#6127C2211yescharacteristic
38C22×#6127C2211yescharacteristic
39C13×#547C22116yescomplemented
40C2×C13×C4⋊Q8C2211yescharacteristic
41C2×C13×#123C2211yescharacteristic
42C2×C13×#123C2211yescharacteristic
43C2×C13×#123C2211yescharacteristic
44C2×C13×#123C2211yescharacteristic
45C2×C13×C22⋊Q8C2211yescharacteristic
46C2×C13×C22⋊Q8C2211yescharacteristic
47C2×C13×#121C2211yescharacteristic
48C2×C13×#121C2211yescharacteristic
49C2×C4×D4×C13C2211yescharacteristic
50C2×C4×D4×C13C2211yescharacteristic
51C22×C13×C4⋊C4C2211yescharacteristic
52C22×C13×C4⋊C4C2211yescharacteristic
53#11719538C22116yescomplemented
54#11719537C22116yescomplemented
55#11719529C22116yescomplemented
56#11719529C22116yescomplemented
57C2×#88201C2211yescharacteristic
58C2×#88200C2211yescharacteristic
59C2×#88200C2211yescharacteristic
60C2×#88200C2211yescharacteristic
61C2×#88200C2211yescharacteristic
62C2×#88198C2211yescharacteristic
63C2×#88198C2211yescharacteristic
64C2×#88198C2211yescharacteristic
65C2×#88194C2211yescharacteristic
66C2×#88193C2211yescharacteristic
67C2×#88193C2211yescharacteristic
68C2×#88193C2211yescharacteristic
69C2×#88193C2211yescharacteristic
70C2×#88193C2211yescharacteristic
71C2×#88193C2211yescharacteristic
72C2×#88193C2211yescharacteristic
73C2×#88193C2211yescharacteristic
74C2×#88193C2211yescharacteristic
75C2×#88193C2211yescharacteristic
76C2×#88193C2211yescharacteristic
77C2×#88193C2211yescharacteristic
78C2×#88192C2211yescharacteristic
79C2×#88192C2211yescharacteristic
80C2×#88190C2211yescharacteristic
81C2×#88189C2211yescharacteristic
82C2×#88189C2211yescharacteristic
83C2×#88189C2211yescharacteristic
84C2×#88189C2211yescharacteristic
85C2×D4×Dic13C2211yescharacteristic
86C2×D4×Dic13C2211yescharacteristic
87C2×#88184C2211yescharacteristic
88C2×#88184C2211yescharacteristic
89C2×#88184C2211yescharacteristic
90C2×#88183C2211yescharacteristic
91C2×#88183C2211yescharacteristic
92C2×#88183C2211yescharacteristic
93C2×#88183C2211yescharacteristic
94C2×#88183C2211yescharacteristic
95C2×#88183C2211yescharacteristic
96C2×C4×C22⋊D13C2211yescharacteristic
97C2×C4×C22⋊D13C2211yescharacteristic
98C2×C4×C22⋊D13C2211yescharacteristic
99C2×C4×C22⋊D13C2211yescharacteristic
100C2×C4×C22⋊D13C2211yescharacteristic
101C2×C4×C22⋊D13C2211yescharacteristic
102C2×C4×C22⋊D13C2211yescharacteristic
103C2×C4×C22⋊D13C2211yescharacteristic
104C22×C4⋊Dic13C2211yescharacteristic
105C2×#88178C2211yescharacteristic
106C2×#88178C2211yescharacteristic
107C2×#88178C2211yescharacteristic
108C2×#88178C2211yescharacteristic
109C2×#88178C2211yescharacteristic
110C22×#6101C2211yescharacteristic
111C22×#6101C2211yescharacteristic
112C22×#6101C2211yescharacteristic
113C22×#6101C2211yescharacteristic
114C22×#6101C2211yescharacteristic
115C22×#6101C2211yescharacteristic
116C22×C4×Dic13C2211yescharacteristic
117#11719440C22116yescomplemented
118#11719434C22116yescomplemented
119#11719370C22116yescomplemented
120#11719368C22116yescomplemented
121#11719366C22116yescomplemented
122#11719365C22116yescomplemented
123#11719360C22116yescomplemented
124#11719360C22116yescomplemented
125#11719356C22116yescomplemented
126#11719354C22116yescomplemented
127#11719352C22116yescomplemented
128#11719343C22116yescomplemented
129#11719341C22116yescomplemented
130#11719328C22116yescomplemented
131#11719326C22116yescomplemented
132#11719320C22116yescomplemented
133#11719306C22116yescomplemented
134#11719302C22116yescomplemented
135#11719269C22116yescomplemented
136#11719269C22116yescomplemented
137#11719245C22116yescomplemented
138#11719245C22116yescomplemented
139#11719220C22116yescomplemented
140C2×#88152C2211yescharacteristic
141C2×#88152C2211yescharacteristic
142C2×#88152C2211yescharacteristic
143#11719216C22116yescomplemented
144C2×#88151C2211yescharacteristic
145C2×#88150C2211yescharacteristic
146C2×#88150C2211yescharacteristic
147C2×#88150C2211yescharacteristic
148C2×#88150C2211yescharacteristic
149C2×#88150C2211yescharacteristic
150C2×#88150C2211yescharacteristic
151C2×#88150C2211yescharacteristic
152#11719212C22116yescomplemented
153C2×#88149C2211yescharacteristic
154C2×#88148C2211yescharacteristic
155C2×#88148C2211yescharacteristic
156C2×#88148C2211yescharacteristic
157C2×#88148C2211yescharacteristic
158C2×#88148C2211yescharacteristic
159C2×#88147C2211yescharacteristic
160C2×#88146C2211yescharacteristic
161C2×C4⋊C4×D13C2211yescharacteristic
162C2×C4⋊C4×D13C2211yescharacteristic
163C2×C4⋊C4×D13C2211yescharacteristic
164C2×#88144C2211yescharacteristic
165C2×#88143C2211yescharacteristic
166C2×#88143C2211yescharacteristic
167C2×#88143C2211yescharacteristic
168C2×#88143C2211yescharacteristic
169C2×#88143C2211yescharacteristic
170C2×#88143C2211yescharacteristic
171C2×#88143C2211yescharacteristic
172C2×#88143C2211yescharacteristic
173C2×#88143C2211yescharacteristic
174C2×#88143C2211yescharacteristic
175C2×#88143C2211yescharacteristic
176C2×#88143C2211yescharacteristic
177C2×#88143C2211yescharacteristic
178C2×#88143C22116yescomplemented
179C2×#88142C2211yescharacteristic
180C2×#88142C2211yescharacteristic
181C2×#88142C2211yescharacteristic
182C2×#88141C2211yescharacteristic
183C2×#88140C2211yescharacteristic
184C2×#88140C2211yescharacteristic
185C2×#88139C2211yescharacteristic
186C2×#88138C2211yescharacteristic
187C2×#88138C2211yescharacteristic
188C2×#88138C2211yescharacteristic
189C2×#88138C2211yescharacteristic
190C2×#88138C2211yescharacteristic
191C2×#88137C2211yescharacteristic
192C2×#88137C2211yescharacteristic
193C2×#88137C2211yescharacteristic
194C2×#88137C2211yescharacteristic
195C2×#88137C2211yescharacteristic
196C2×#88135C2211yescharacteristic
197C2×#88135C2211yescharacteristic
198C2×#88135C2211yescharacteristic
199C2×#88135C2211yescharacteristic
200C2×#88135C2211yescharacteristic
201C2×#88135C2211yescharacteristic
202C2×#88133C2211yescharacteristic
203C2×#88133C2211yescharacteristic
204C2×#88133C2211yescharacteristic
205C2×#88133C2211yescharacteristic
206C2×#88133C2211yescharacteristic
207C2×#88132C2211yescharacteristic
208C2×#88132C2211yescharacteristic
209C2×#88132C2211yescharacteristic
210C2×#88132C2211yescharacteristic
211C2×#88132C2211yescharacteristic
212C2×#88132C2211yescharacteristic
213C2×#88131C2211yescharacteristic
214C2×#88131C2211yescharacteristic
215C2×#88130C2211yescharacteristic
216C2×#88130C2211yescharacteristic
217C2×#88126C2211yescharacteristic
218C2×#88124C2211yescharacteristic
219C2×C13×#41—44no—
220C2×C13×#41—44no—
221C2×C13×#41C2318yes—
222C2×C13×#41C2318yes—
223C22×Q8×C13C2311yescharacteristic
224C22×Q8×C13C2311yescharacteristic
225C22×D4×C13C2311yescharacteristic
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C22×D4×C13C2311yescharacteristic
229C22×D4×C13C2311yescharacteristic
230C22×D4×C13C2311yescharacteristic
231C23×C4×C13C2311yescharacteristic
232C23×C4×C13C2311yescharacteristic
233C23×C4×C13C2311yescharacteristic
234C23×C4×C13C2311yescharacteristic
235C23×C4×C13C2311yescharacteristic
236C23×C4×C13C2311yescharacteristic
237C23×C4×C13C2311yescharacteristic
238C23×C4×C13C2311yescharacteristic
239C22×C22⋊D13C2311yescharacteristic
240C22×C22⋊D13C2311yescharacteristic
241C22×C22⋊D13C2311yescharacteristic
242C22×C22⋊D13C2311yescharacteristic
243C22×C22⋊D13C2311yescharacteristic
244C22×C22⋊D13C2311yescharacteristic
245C22×C22⋊D13C2311yescharacteristic
246C22×C22⋊D13C2311yescharacteristic
247C22×C22⋊D13C2311yescharacteristic
248C22×C22⋊D13C2311yescharacteristic
249C22×C22⋊D13C2311yescharacteristic
250C22×C22⋊D13C2311yescharacteristic
251C23×Dic13C2311yescharacteristic
252C23×Dic13C2311yescharacteristic
253C23×Dic13C2311yescharacteristic
254C23×Dic13C2311yescharacteristic
255C23×Dic13C2311yescharacteristic
256C23×Dic13C2311yescharacteristic
257C23×Dic13C2311yescharacteristic
258C23×Dic13C2311yescharacteristic
259C2×#6129—44no—
260C2×#6129—44no—
261C2×#6129C2318yes—
262C2×#6129C2318yes—
263C2×#6127—44no—
264C2×#6127—44no—
265C2×#6127C2318yes—
266C2×#6127C2318yes—
267C22×D52C2311yescharacteristic
268C22×D52C2311yescharacteristic
269C22×D52C2311yescharacteristic
270C22×C4×D13C2311yescharacteristic
271C22×C4×D13C2311yescharacteristic
272C22×C4×D13C2311yescharacteristic
273C22×C4×D13C2311yescharacteristic
274C22×C4×D13C2311yescharacteristic
275C22×C4×D13C2311yescharacteristic
276C22×C4×D13C2311yescharacteristic
277C22×C4×D13C2311yescharacteristic
278C22×C4×D13C2311yescharacteristic
279C22×Dic26C2311yescharacteristic
280C22×Dic26C2311yescharacteristic
281C22×Dic26C2311yescharacteristic
282C22×Dic26C2311yescharacteristic
283C22×Dic26C2311yescharacteristic
284C13×C4⋊Q8C2318yes—
285C13×#123C2318yes—
286C13×#123C2318yes—
287C13×#123C2318yes—
288C13×#123C2318yes—
289C13×C22⋊Q8C2318yes—
290C13×C22⋊Q8C2318yes—
291C13×#121C2318yes—
292C13×#121C2318yes—
293C4×D4×C13C2318yes—
294C4×D4×C13C2318yes—
295C2×C13×C4⋊C4C2311yescharacteristic
296C2×C13×C4⋊C4C2311yescharacteristic
297C2×C13×C4⋊C4C2311yescharacteristic
298C2×C13×C4⋊C4C2311yescharacteristic
299C2×C13×C4⋊C4C2311yescharacteristic
300C2×C13×C4⋊C4C2311yescharacteristic
301C2×C13×C4⋊C4C2311yescharacteristic
302C2×C13×C4⋊C4C2311yescharacteristic
303C2×C13×C4⋊C4C2311yescharacteristic
304C2×C13×C4⋊C4C2318yes—
305C2×C13×C4⋊C4C2311yescharacteristic
306C2×C13×C4⋊C4C2318yes—
307C2×C13×C22⋊C4C2311yescharacteristic
308C2×C13×C22⋊C4C2311yescharacteristic
309C2×C13×C22⋊C4C2311yescharacteristic
310C2×C13×C22⋊C4C2311yescharacteristic
311C2×C13×C22⋊C4C2311yescharacteristic
312C2×C13×C22⋊C4C2311yescharacteristic
313C2×C13×C22⋊C4C2311yescharacteristic
314C2×C13×C22⋊C4C2311yescharacteristic
315C2×C42×C13C2311yescharacteristic
316C2×C22⋊Dic13C2311yescharacteristic
317C2×C22⋊Dic13C2311yescharacteristic
318C2×C22⋊Dic13C2311yescharacteristic
319C2×C22⋊Dic13C2311yescharacteristic
320C2×C22⋊Dic13C2311yescharacteristic
321C2×C22⋊Dic13C2311yescharacteristic
322C2×C22⋊Dic13C2311yescharacteristic
323C2×C22⋊Dic13C2311yescharacteristic
324C2×C22⋊Dic13C2311yescharacteristic
325C2×C22⋊Dic13C2311yescharacteristic
326C2×C22⋊Dic13C2311yescharacteristic
327C2×C22⋊Dic13C2311yescharacteristic
328#88201C2318yes—
329#88200C2318yes—
330#88200C2318yes—
331#88200C2318yes—
332#88200C2318yes—
333#88198C2318yes—
334#88198C2318yes—
335#88198C2318yes—
336#88194C2318yes—
337#88193C2318yes—
338#88193C2318yes—
339#88193C2318yes—
340#88193C2318yes—
341#88193C2318yes—
342#88193C2318yes—
343#88193C2318yes—
344#88193C2318yes—
345#88193C2318yes—
346#88193C2318yes—
347#88193C2318yes—
348#88193C2318yes—
349#88192C2318yes—
350#88192C2318yes—
351#88190C2318yes—
352#88189C2318yes—
353#88189C2318yes—
354#88189C2318yes—
355#88189C2318yes—
356D4×Dic13C2318yes—
357D4×Dic13C2318yes—
358#88184C2318yes—
359#88184C2318yes—
360#88184C2318yes—
361#88183C2318yes—
362#88183C2318yes—
363#88183C2318yes—
364#88183C2318yes—
365#88183C2318yes—
366#88183C2318yes—
367C4×C22⋊D13C2318yes—
368C4×C22⋊D13C2318yes—
369C4×C22⋊D13C2318yes—
370C4×C22⋊D13C2318yes—
371C4×C22⋊D13C2318yes—
372C4×C22⋊D13C2318yes—
373C4×C22⋊D13C2318yes—
374C4×C22⋊D13C2318yes—
375C2×#6103C2311yescharacteristic
376C2×#6103C2311yescharacteristic
377C2×#6103C2311yescharacteristic
378C2×#6103C2311yescharacteristic
379C2×#6103C2311yescharacteristic
380C2×#6103C2311yescharacteristic
381C2×#6103C2311yescharacteristic
382C2×#6103C2311yescharacteristic
383C2×#6103C2311yescharacteristic
384C2×#6103C2311yescharacteristic
385C2×#6103C2311yescharacteristic
386C2×#6103C2311yescharacteristic
387C2×#6103C2311yescharacteristic
388C2×#6103C2311yescharacteristic
389C2×#6103C2311yescharacteristic
390C2×#6103C2311yescharacteristic
391C2×#6103C2311yescharacteristic
392C2×#6103C2311yescharacteristic
393C2×C4⋊Dic13C2311yescharacteristic
394C2×C4⋊Dic13C2311yescharacteristic
395C2×C4⋊Dic13C2311yescharacteristic
396C2×C4⋊Dic13C2311yescharacteristic
397C2×C4⋊Dic13C2311yescharacteristic
398C2×C4⋊Dic13C2311yescharacteristic
399C2×C4⋊Dic13C2311yescharacteristic
400C2×C4⋊Dic13C2311yescharacteristic
401C2×C4⋊Dic13C2311yescharacteristic
402C2×C4⋊Dic13C2311yescharacteristic
403C2×C4⋊Dic13C2318yes—
404#88178C2318yes—
405#88178C2318yes—
406#88178C2318yes—
407#88178C2318yes—
408#88178C2318yes—
409C2×#6101C2311yescharacteristic
410C2×#6101C2311yescharacteristic
411C2×#6101C2311yescharacteristic
412C2×#6101C2311yescharacteristic
413C2×#6101C2311yescharacteristic
414C2×#6101C2311yescharacteristic
415C2×#6101C2311yescharacteristic
416C2×#6101C2311yescharacteristic
417C2×#6101C2311yescharacteristic
418C2×#6101C2311yescharacteristic
419C2×#6101C2311yescharacteristic
420C2×#6101C2311yescharacteristic
421C2×#6101C2311yescharacteristic
422C2×#6101C2311yescharacteristic
423C2×#6101C2311yescharacteristic
424C2×#6101C2311yescharacteristic
425C2×#6101C2311yescharacteristic
426C2×#6101C2311yescharacteristic
427C2×#6101C2311yescharacteristic
428C2×#6101C2311yescharacteristic
429C2×#6101C2311yescharacteristic
430C2×#6101C2311yescharacteristic
431C2×#6101C2311yescharacteristic
432C2×#6101C2311yescharacteristic
433C2×#6101C2311yescharacteristic
434C2×#6101C2311yescharacteristic
435C2×#6101C2311yescharacteristic
436C2×#6101C2311yescharacteristic
437C2×#6101C2311yescharacteristic
438C2×#6101C2311yescharacteristic
439C2×#6101C2311yescharacteristic
440C2×#6101C2311yescharacteristic
441C2×#6101C2311yescharacteristic
442C2×#6101C2311yescharacteristic
443C2×#6101C2318yes—
444C2×#6101C2318yes—
445C2×#6101C2318yes—
446C2×#6101C2318yes—
447C2×#6101C2318yes—
448C2×#6101C2318yes—
449C2×C4×Dic13C2311yescharacteristic
450C2×C4×Dic13C2311yescharacteristic
451C2×C4×Dic13C2311yescharacteristic
452C2×C4×Dic13C2311yescharacteristic
453C2×C4×Dic13C2311yescharacteristic
454C2×C4×Dic13C2311yescharacteristic
455C2×C4×Dic13C2311yescharacteristic
456C2×C4×Dic13C2311yescharacteristic
457C2×C4×Dic13C2311yescharacteristic
458C2×C4×Dic13C2318yes—
459#88152C2318yes—
460#88152C2318yes—
461#88152C2318yes—
462#88151C2318yes—
463#88150C2318yes—
464#88150C2318yes—
465#88150C2318yes—
466#88150C2318yes—
467#88150C2318yes—
468#88150C2318yes—
469#88150C2318yes—
470#88149C2318yes—
471#88148C2318yes—
472#88148C2318yes—
473#88148C2318yes—
474#88148C2318yes—
475#88148C2318yes—
476#88147C2318yes—
477#88146C2318yes—
478C4⋊C4×D13C2318yes—
479C4⋊C4×D13C2318yes—
480C4⋊C4×D13C2318yes—
481#88144C2318yes—
482#88143C2318yes—
483#88143C2318yes—
484#88143C2318yes—
485#88143C2318yes—
486#88143C2318yes—
487#88143C2318yes—
488#88143C2318yes—
489#88143C2318yes—
490#88143C2318yes—
491#88143C2318yes—
492#88143C2318yes—
493#88143C2318yes—
494#88143C2318yes—
495#88142C2318yes—
496#88142C2318yes—
497#88142C2318yes—
498#88141C2318yes—
499#88140C2318yes—
500#88140C2318yes—
501#88139C2318yes—
502#88138C2318yes—
503#88138C2318yes—
504#88138C2318yes—
505#88138C2318yes—
506#88138C2318yes—
507#88137C2318yes—
508#88137C2318yes—
509#88137C2318yes—
510#88137C2318yes—
511#88137C2318yes—
512#88135C2318yes—
513#88135C2318yes—
514#88135C2318yes—
515#88135C2318yes—
516#88135C2318yes—
517#88135C2318yes—
518#88133C2318yes—
519#88133C2318yes—
520#88133C2318yes—
521#88133C2318yes—
522#88133C2318yes—
523#88132C2318yes—
524#88132C2318yes—
525#88132C2318yes—
526#88132C2318yes—
527#88132C2318yes—
528#88132C2318yes—
529#88131C2318yes—
530#88131C2318yes—
531#88130C2318yes—
532#88130C2318yes—
533#88126C2318yes—
534#88124C2318yes—
535C2×#3559—131nomaximal, Sylow
536C24×C13C2411yescharacteristic
537C24×C13C2411yescharacteristic
538C24×C13C2411yescharacteristic
539C24×C13C2411yescharacteristic
540C23×D13C2411yescharacteristic
541C23×D13C2411yescharacteristic
542C23×D13C2411yescharacteristic
543C13×#41—416no—
544C13×#41—416no—
545C2×Q8×C13—42no—
546C2×Q8×C13—42no—
547C2×Q8×C13C2414yes—
548C2×Q8×C13C2414yes—
549C2×D4×C13—24no—
550C2×D4×C13—24no—
551C2×D4×C13—24no—
552C2×D4×C13—42no—
553C2×D4×C13—42no—
554C2×D4×C13—42no—
555C2×D4×C13C2414yes—
556C2×D4×C13C2414yes—
557C2×D4×C13C2414yes—
558C2×D4×C13C2414yes—
559C2×D4×C13C2414yes—
560C2×D4×C13C2414yes—
561C22×C4×C13—24no—
562C22×C4×C13—24no—
563C22×C4×C13—42no—
564C22×C4×C13—42no—
565C22×C4×C13—42no—
566C22×C4×C13—42no—
567C22×C4×C13—42no—
568C22×C4×C13—42no—
569C22×C4×C13C2411yescharacteristic
570C22×C4×C13C2411yescharacteristic
571C22×C4×C13C2414yes—
572C22×C4×C13C2411yescharacteristic
573C22×C4×C13C2411yescharacteristic
574C22×C4×C13C2411yescharacteristic
575C22×C4×C13C2411yescharacteristic
576C22×C4×C13C2411yescharacteristic
577C22×C4×C13C2411yescharacteristic
578C22×C4×C13C2411yescharacteristic
579C22×C4×C13C2411yescharacteristic
580C22×C4×C13C2411yescharacteristic
581C22×C4×C13C2414yes—
582C22×C4×C13C2414yes—
583C22×C4×C13C2414yes—
584C22×C4×C13C2414yes—
585C22×C4×C13C2414yes—
586C22×C4×C13C2414yes—
587C22×C4×C13C2414yes—
588C2×C22⋊D13—24no—
589C2×C22⋊D13—24no—
590C2×C22⋊D13—24no—
591C2×C22⋊D13—24no—
592C2×C22⋊D13—24no—
593C2×C22⋊D13—42no—
594C2×C22⋊D13—42no—
595C2×C22⋊D13—42no—
596C2×C22⋊D13—42no—
597C2×C22⋊D13—42no—
598C2×C22⋊D13—42no—
599C2×C22⋊D13—42no—
600C2×C22⋊D13C2414yes—
601C2×C22⋊D13C2414yes—
602C2×C22⋊D13C2414yes—
603C2×C22⋊D13C2414yes—
604C2×C22⋊D13C2414yes—
605C2×C22⋊D13C2414yes—
606C2×C22⋊D13C2414yes—
607C2×C22⋊D13C2414yes—
608C2×C22⋊D13C2414yes—
609C2×C22⋊D13C2414yes—
610C2×C22⋊D13C2414yes—
611C2×C22⋊D13C2414yes—
612C22×Dic13—24no—
613C22×Dic13—24no—
614C22×Dic13—24no—
615C22×Dic13—42no—
616C22×Dic13—42no—
617C22×Dic13—42no—
618C22×Dic13—42no—
619C22×Dic13—42no—
620C22×Dic13C2414yes—
621C22×Dic13C2414yes—
622C22×Dic13C2414yes—
623C22×Dic13C2411yescharacteristic
624C22×Dic13C2411yescharacteristic
625C22×Dic13C2411yescharacteristic
626C22×Dic13C2411yescharacteristic
627C22×Dic13C2411yescharacteristic
628C22×Dic13C2411yescharacteristic
629C22×Dic13C2411yescharacteristic
630C22×Dic13C2411yescharacteristic
631C22×Dic13C2411yescharacteristic
632C22×Dic13C2411yescharacteristic
633C22×Dic13C2411yescharacteristic
634C22×Dic13C2411yescharacteristic
635C22×Dic13C2414yes—
636C22×Dic13C2414yes—
637C22×Dic13C2414yes—
638C22×Dic13C2414yes—
639C22×Dic13C2414yes—
640C22×Dic13C2411yescharacteristic
641#6129—416no—
642#6129—416no—
643#6127—416no—
644#6127—416no—
645C2×D52—42no—
646C2×D52—42no—
647C2×D52—42no—
648C2×D52C2414yes—
649C2×D52C2414yes—
650C2×D52C2414yes—
651C2×C4×D13—24no—
652C2×C4×D13—42no—
653C2×C4×D13—42no—
654C2×C4×D13—42no—
655C2×C4×D13—42no—
656C2×C4×D13—42no—
657C2×C4×D13—42no—
658C2×C4×D13—42no—
659C2×C4×D13—42no—
660C2×C4×D13C2414yes—
661C2×C4×D13C2414yes—
662C2×C4×D13C2414yes—
663C2×C4×D13C2414yes—
664C2×C4×D13C2414yes—
665C2×C4×D13C2414yes—
666C2×C4×D13C2414yes—
667C2×C4×D13C2414yes—
668C2×C4×D13C2414yes—
669C2×Dic26—42no—
670C2×Dic26—42no—
671C2×Dic26—42no—
672C2×Dic26—42no—
673C2×Dic26—42no—
674C2×Dic26C2414yes—
675C2×Dic26C2414yes—
676C2×Dic26C2414yes—
677C2×Dic26C2414yes—
678C2×Dic26C2414yes—
679C13×C4⋊C4C2414yes—
680C13×C4⋊C4C2414yes—
681C13×C4⋊C4C2414yes—
682C13×C4⋊C4C2414yes—
683C13×C4⋊C4C2414yes—
684C13×C4⋊C4C2414yes—
685C13×C4⋊C4C2414yes—
686C13×C4⋊C4C2414yes—
687C13×C4⋊C4C2414yes—
688C13×C4⋊C4C2414yes—
689C13×C22⋊C4C2414yes—
690C13×C22⋊C4C2414yes—
691C13×C22⋊C4C2414yes—
692C13×C22⋊C4C2414yes—
693C13×C22⋊C4C2414yes—
694C13×C22⋊C4C2414yes—
695C13×C22⋊C4C2414yes—
696C13×C22⋊C4C2414yes—
697C42×C13C2414yes—
698C22⋊Dic13C2414yes—
699C22⋊Dic13C2414yes—
700C22⋊Dic13C2414yes—
701C22⋊Dic13C2414yes—
702C22⋊Dic13C2414yes—
703C22⋊Dic13C2414yes—
704C22⋊Dic13C2414yes—
705C22⋊Dic13C2414yes—
706C22⋊Dic13C2414yes—
707C22⋊Dic13C2414yes—
708C22⋊Dic13C2414yes—
709C22⋊Dic13C2414yes—
710#6103C2414yes—
711#6103C2414yes—
712#6103C2414yes—
713#6103C2414yes—
714#6103C2414yes—
715#6103C2414yes—
716#6103C2414yes—
717#6103C2414yes—
718#6103C2414yes—
719#6103C2414yes—
720#6103C2414yes—
721#6103C2414yes—
722#6103C2414yes—
723#6103C2414yes—
724#6103C2414yes—
725#6103C2414yes—
726#6103C2414yes—
727#6103C2414yes—
728C4⋊Dic13C2414yes—
729C4⋊Dic13C2414yes—
730C4⋊Dic13C2414yes—
731C4⋊Dic13C2414yes—
732C4⋊Dic13C2414yes—
733C4⋊Dic13C2414yes—
734C4⋊Dic13C2414yes—
735C4⋊Dic13C2414yes—
736C4⋊Dic13C2414yes—
737C4⋊Dic13C2414yes—
738#6101C2414yes—
739#6101C2414yes—
740#6101C2414yes—
741#6101C2414yes—
742#6101C2414yes—
743#6101C2414yes—
744#6101C2414yes—
745#6101C2414yes—
746#6101C2414yes—
747#6101C2414yes—
748#6101C2414yes—
749#6101C2414yes—
750#6101C2414yes—
751#6101C2414yes—
752#6101C2414yes—
753#6101C2414yes—
754#6101C2414yes—
755#6101C2414yes—
756#6101C2414yes—
757#6101C2414yes—
758#6101C2414yes—
759#6101C2414yes—
760#6101C2414yes—
761#6101C2414yes—
762#6101C2414yes—
763#6101C2414yes—
764#6101C2414yes—
765#6101C2414yes—
766#6101C2414yes—
767#6101C2414yes—
768#6101C2414yes—
769#6101C2414yes—
770#6101C2414yes—
771#6101C2414yes—
772C4×Dic13C2414yes—
773C4×Dic13C2414yes—
774C4×Dic13C2414yes—
775C4×Dic13C2414yes—
776C4×Dic13C2414yes—
777C4×Dic13C2414yes—
778C4×Dic13C2414yes—
779C4×Dic13C2414yes—
780C4×Dic13C2414yes—
781#3559—1332no—
782C2×#563—131no—
783C2×#563—131no—
784C2×#562—131no—
785C2×#562—131no—
786C2×#554—131no—
787C2×#554—131no—
788C2×#553—131no—
789C2×#553—131no—
790C2×#553—131no—
791C2×#553—131no—
792C2×#547—131no—
793C2×#547—131no—
794C2×#547—131no—
795C2×#547—131no—
796C2×#547—131no—
797C2×#547D1311yescharacteristic, complemented
798C2×#544—131no—
799C2×#544—131no—
800C2×#540—131no—
801C2×#540—131no—
802C2×#539—131no—
803C2×#539—131no—
804C2×#539—131no—
805C2×#539—131no—
806C2×#539—131no—
807C2×#539—131no—
808C2×#537—131no—
809C2×#537—131no—
810C2×#532—131no—
811C2×#529—131no—
812C22×#125—131no—
813C23×C13—22no—
814C23×C13—22no—
815C23×C13—22no—
816C23×C13—22no—
817C23×C13—22no—
818C23×C13—22no—
819C23×C13—22no—
820C23×C13—22no—
821C23×C13—22no—
822C23×C13—22no—
823C23×C13—22no—
824C23×C13H(5,𝔽2)14yes—
825C23×C13C2512yes—
826C23×C13C2512yes—
827C23×C13C2512yes—
828C23×C13C2512yes—
829C23×C13C2511yescharacteristic
830C22×D13—22no—
831C22×D13—22no—
832C22×D13—22no—
833C22×D13—22no—
834C22×D13—22no—
835C22×D13—22no—
836C22×D13—22no—
837C22×D13—22no—
838C22×D13—22no—
839C22×D13C2512yes—
840C22×D13C2512yes—
841C22×D13C2512yes—
842Q8×C13—44no—
843Q8×C13—44no—
844D4×C13—28no—
845D4×C13—28no—
846D4×C13—28no—
847D4×C13—44no—
848D4×C13—44no—
849D4×C13—44no—
850C2×C4×C13—22no—
851C2×C4×C13—22no—
852C2×C4×C13—22no—
853C2×C4×C13—22no—
854C2×C4×C13—22no—
855C2×C4×C13—22no—
856C2×C4×C13—28no—
857C2×C4×C13—28no—
858C2×C4×C13—22no—
859C2×C4×C13—22no—
860C2×C4×C13—22no—
861C2×C4×C13—22no—
862C2×C4×C13—22no—
863C2×C4×C13—44no—
864C2×C4×C13—44no—
865C2×C4×C13—44no—
866C2×C4×C13—44no—
867C2×C4×C13—44no—
868C2×C4×C13—44no—
869C2×C4×C13C2512yes—
870C2×C4×C13C2512yes—
871C2×C4×C13C2512yes—
872C2×C4×C13C2512yes—
873C2×C4×C13C2512yes—
874C2×C4×C13C2512yes—
875C2×C4×C13C2512yes—
876C2×C4×C13C2512yes—
877C2×C4×C13C2512yes—
878C2×C4×C13C2512yes—
879C2×C4×C13C2512yes—
880C22⋊D13—28no—
881C22⋊D13—28no—
882C22⋊D13—28no—
883C22⋊D13—28no—
884C22⋊D13—28no—
885C22⋊D13—44no—
886C22⋊D13—44no—
887C22⋊D13—44no—
888C22⋊D13—44no—
889C22⋊D13—44no—
890C22⋊D13—44no—
891C22⋊D13—44no—
892C2×Dic13—22no—
893C2×Dic13—22no—
894C2×Dic13—22no—
895C2×Dic13—22no—
896C2×Dic13—22no—
897C2×Dic13—28no—
898C2×Dic13—22no—
899C2×Dic13—22no—
900C2×Dic13—22no—
901C2×Dic13—22no—
902C2×Dic13—22no—
903C2×Dic13—22no—
904C2×Dic13—22no—
905C2×Dic13—28no—
906C2×Dic13—28no—
907C2×Dic13—44no—
908C2×Dic13—44no—
909C2×Dic13—44no—
910C2×Dic13—44no—
911C2×Dic13—44no—
912C2×Dic132−1+414yes—
913C2×Dic13C2512yes—
914C2×Dic13C2512yes—
915C2×Dic13C2512yes—
916C2×Dic13C2512yes—
917C2×Dic13C2512yes—
918C2×Dic13C2512yes—
919C2×Dic13C2512yes—
920C2×Dic13C2512yes—
921C2×Dic13C2512yes—
922C2×Dic13C2512yes—
923C2×Dic13C2512yes—
924C2×Dic13C2512yes—
925C2×Dic13C2512yes—
926D52—44no—
927D52—44no—
928D52—44no—
929C4×D13—28no—
930C4×D13—44no—
931C4×D13—44no—
932C4×D13—44no—
933C4×D13—44no—
934C4×D13—44no—
935C4×D13—44no—
936C4×D13—44no—
937C4×D13—44no—
938Dic26—44no—
939Dic26—44no—
940Dic26—44no—
941Dic26—44no—
942Dic26—44no—
943C22×#41—131no—
944C22×#41—131no—
945C22×#41—131no—
946C22×#41—131no—
947C22×#41C2×D1311yescharacteristic
948C22×#41C2×D1311yescharacteristic
949#563—1316no—
950#563—1316no—
951#562—1316no—
952#562—1316no—
953#554—1316no—
954#554—1316no—
955#553—1316no—
956#553—1316no—
957#553—1316no—
958#553—1316no—
959#547—1316no—
960#547—1316no—
961#547—1316no—
962#547—1316no—
963#547—1316no—
964#547C2×D13116yescomplemented
965#544—1316no—
966#544—1316no—
967#540—1316no—
968#540—1316no—
969#539—1316no—
970#539—1316no—
971#539—1316no—
972#539—1316no—
973#539—1316no—
974#539—1316no—
975#537—1316no—
976#537—1316no—
977#532—1316no—
978C2×C4⋊Q8—131no—
979C2×C4⋊Q8—131no—
980C2×C4⋊Q8—131no—
981C2×C4⋊Q8—131no—
982C2×C4⋊Q8—131no—
983C2×C4⋊Q8—131no—
984C2×C4⋊Q8C2×D1311yescharacteristic
985C2×#127—131no—
986#529—1316no—
987C2×#126—131no—
988C2×#126—131no—
989C2×#126—131no—
990C2×#126—131no—
991C2×#126—131no—
992C2×#126—131no—
993C2×#126—131no—
994C2×#126—131no—
995C2×#126—131no—
996C2×#126—131no—
997C2×#125—131no—
998C2×#125—131no—
999C2×#125—131no—
1000C2×#125—131no—
1001C2×#125—131no—
1002C2×#125—131no—
1003C2×#125—131no—
1004C2×#125—131no—
1005C2×#125—131no—
1006C2×#125—131no—
1007C2×#125—131no—
1008C2×#125—131no—
1009C2×#125—131no—
1010C2×#125—1316no—
1011C2×#125—131no—
1012C2×#125—131no—
1013C2×#124—131no—
1014C2×#124—131no—
1015C2×#124—131no—
1016C2×#123—131no—
1017C2×#123—131no—
1018C2×#123—131no—
1019C2×#123—131no—
1020C2×#123—131no—
1021C2×#123—131no—
1022C2×#123—131no—
1023C2×#123—131no—
1024C2×#123—131no—
1025C2×#123—131no—
1026C2×#123—131no—
1027C2×#123—131no—
1028C2×#123—131no—
1029C2×#123—131no—
1030C2×#123—131no—
1031C2×#123—131no—
1032C2×#123—131no—
1033C2×#123—131no—
1034C2×#123—131no—
1035C2×#123—131no—
1036C2×#123—131no—
1037C2×#123—131no—
1038C2×#123C2×D1311yescharacteristic
1039C2×#123C2×D1311yescharacteristic
1040C2×#123C2×D1311yescharacteristic
1041C2×#123C2×D1311yescharacteristic
1042C2×C22⋊Q8—131no—
1043C2×C22⋊Q8—131no—
1044C2×C22⋊Q8—131no—
1045C2×C22⋊Q8—131no—
1046C2×C22⋊Q8—131no—
1047C2×C22⋊Q8—131no—
1048C2×C22⋊Q8—131no—
1049C2×C22⋊Q8—131no—
1050C2×C22⋊Q8—131no—
1051C2×C22⋊Q8—131no—
1052C2×C22⋊Q8—131no—
1053C2×C22⋊Q8—131no—
1054C2×C22⋊Q8—131no—
1055C2×C22⋊Q8—131no—
1056C2×C22⋊Q8—131no—
1057C2×C22⋊Q8—131no—
1058C2×C22⋊Q8—131no—
1059C2×C22⋊Q8—131no—
1060C2×C22⋊Q8—131no—
1061C2×C22⋊Q8—131no—
1062C2×C22⋊Q8—131no—
1063C2×C22⋊Q8—131no—
1064C2×C22⋊Q8—131no—
1065C2×C22⋊Q8C2×D1311yescharacteristic
1066C2×C22⋊Q8C2×D1311yescharacteristic
1067C2×#121—131no—
1068C2×#121—131no—
1069C2×#121—131no—
1070C2×#121—131no—
1071C2×#121—131no—
1072C2×#121—131no—
1073C2×#121—131no—
1074C2×#121—131no—
1075C2×#121—131no—
1076C2×#121—131no—
1077C2×#121—131no—
1078C2×#121—131no—
1079C2×#121—131no—
1080C2×#121—131no—
1081C2×#121—131no—
1082C2×#121—131no—
1083C2×#121—131no—
1084C2×#121—131no—
1085C2×#121—131no—
1086C2×#121—131no—
1087C2×#121—131no—
1088C2×#121—131no—
1089C2×#121—131no—
1090C2×#121C2×D1311yescharacteristic
1091C2×#121C2×D1311yescharacteristic
1092C2×C4×Q8—131no—
1093C2×C4×D4—131no—
1094C2×C4×D4—131no—
1095C2×C4×D4—131no—
1096C2×C4×D4—131no—
1097C2×C4×D4—131no—
1098C2×C4×D4—131no—
1099C2×C4×D4—131no—
1100C2×C4×D4—131no—
1101C2×C4×D4—131no—
1102C2×C4×D4—131no—
1103C2×C4×D4—131no—
1104C2×C4×D4—131no—
1105C2×C4×D4—131no—
1106C2×C4×D4—131no—
1107C2×C4×D4—131no—
1108C2×C4×D4—131no—
1109C2×C4×D4—131no—
1110C2×C4×D4C2×D1311yescharacteristic
1111C2×C4×D4C2×D1311yescharacteristic
1112C2×#117—131no—
1113C2×#117—131no—
1114C2×#117—131no—
1115C2×#117—131no—
1116C22×C4⋊C4—131no—
1117C22×C4⋊C4—131no—
1118C22×C4⋊C4—131no—
1119C22×C4⋊C4—131no—
1120C22×C4⋊C4—131no—
1121C22×C4⋊C4—131no—
1122C22×C4⋊C4—131no—
1123C22×C4⋊C4—131no—
1124C22×C4⋊C4—131no—
1125C22×C4⋊C4—131no—
1126C22×C4⋊C4C2×D1311yescharacteristic
1127C22×C4⋊C4C2×D1311yescharacteristic
1128C22×C42—131no—
1129C22×C13—22no—
1130C22×C13—22no—
1131C22×C13—28no—
1132C22×C13—22no—
1133C22×C13—22no—
1134C22×C13—22no—
1135C22×C13—22no—
1136C22×C13—22no—
1137C22×C13—22no—
1138C22×C13—22no—
1139C22×C13—22no—
1140C22×C13—22no—
1141C22×C13—44no—
1142C22×C13—44no—
1143C22×C13—44no—
1144C22×C13C2×H(5,𝔽2)14yes—
1145C22×C13C2×H(5,𝔽2)12yes—
1146C22×C13C2×2−1+412yes—
1147C22×C13#58512yes—
1148C22×C13C2611yescharacteristic
1149C2×D13—22no—
1150C2×D13—22no—
1151C2×D13—22no—
1152C2×D13—22no—
1153C2×D13—22no—
1154C2×D13—22no—
1155C2×D13—22no—
1156C2×D13—22no—
1157C2×D13—22no—
1158C2×D13—44no—
1159C2×D13—44no—
1160C2×D13—44no—
1161C4×C13—22no—
1162C4×C13—22no—
1163C4×C13—22no—
1164C4×C13—22no—
1165C4×C13—22no—
1166C4×C13—22no—
1167C4×C13—22no—
1168C4×C13—22no—
1169C4×C13—22no—
1170C4×C13—22no—
1171C4×C13—22no—
1172Dic13—22no—
1173Dic13—22no—
1174Dic13—22no—
1175Dic13—22no—
1176Dic13—22no—
1177Dic13—22no—
1178Dic13—22no—
1179Dic13—22no—
1180Dic13—22no—
1181Dic13—22no—
1182Dic13—22no—
1183Dic13—22no—
1184Dic13C2×2−1+414yes—
1185C2×#41—44no—
1186C2×#41—44no—
1187C2×#41—138no—
1188C2×#41—138no—
1189C2×#41—138no—
1190C2×#41—138no—
1191C2×#41—524no—
1192C2×#41—524no—
1193C2×#41—524no—
1194C2×#41—524no—
1195C2×#41C22×D1318yes—
1196C2×#41C22×D1318yes—
1197C22×Q8—131no—
1198C22×Q8—131no—
1199C22×Q8—131no—
1200C22×Q8—131no—
1201C22×Q8—131no—
1202C22×Q8C22×D1311yescharacteristic
1203C22×Q8C22×D1311yescharacteristic
1204C22×D4—131no—
1205C22×D4—131no—
1206C22×D4—131no—
1207C22×D4—131no—
1208C22×D4—131no—
1209C22×D4—131no—
1210C22×D4—131no—
1211C22×D4—131no—
1212C22×D4—131no—
1213C22×D4—131no—
1214C22×D4—131no—
1215C22×D4—131no—
1216C22×D4—131no—
1217C22×D4—131no—
1218C22×D4—131no—
1219C22×D4C22×D1311yescharacteristic
1220C22×D4C22×D1311yescharacteristic
1221C22×D4C22×D1311yescharacteristic
1222C22×D4C22×D1311yescharacteristic
1223C22×D4C22×D1311yescharacteristic
1224C22×D4C22×D1311yescharacteristic
1225C23×C4—131no—
1226C23×C4—131no—
1227C23×C4—131no—
1228C23×C4—131no—
1229C23×C4—131no—
1230C23×C4—131no—
1231C23×C4—131no—
1232C23×C4—131no—
1233C23×C4—131no—
1234C23×C4—131no—
1235C23×C4—131no—
1236C23×C4—131no—
1237C23×C4—131no—
1238C23×C4—131no—
1239C23×C4—131no—
1240C23×C4—131no—
1241C23×C4—131no—
1242C23×C4C22×D1311yescharacteristic
1243C23×C4C22×D1311yescharacteristic
1244C23×C4C22×D1311yescharacteristic
1245C23×C4C22×D1311yescharacteristic
1246C23×C4C22×D1311yescharacteristic
1247C23×C4C22×D1311yescharacteristic
1248C23×C4C22×D1311yescharacteristic
1249C23×C4C22×D1311yescharacteristic
1250C4⋊Q8—138no—
1251C4⋊Q8—138no—
1252C4⋊Q8—138no—
1253C4⋊Q8—138no—
1254C4⋊Q8—138no—
1255C4⋊Q8—138no—
1256C4⋊Q8C22×D1318yes—
1257#127—138no—
1258#126—138no—
1259#126—138no—
1260#126—138no—
1261#126—138no—
1262#126—138no—
1263#126—138no—
1264#126—138no—
1265#126—138no—
1266#126—138no—
1267#126—138no—
1268#125—138no—
1269#125—138no—
1270#125—138no—
1271#125—138no—
1272#125—138no—
1273#125—138no—
1274#125—138no—
1275#125—138no—
1276#125—138no—
1277#125—138no—
1278#125—138no—
1279#125—138no—
1280#125—138no—
1281#125—138no—
1282#125—138no—
1283#124—138no—
1284#124—138no—
1285#124—138no—
1286#123—138no—
1287#123—138no—
1288#123—138no—
1289#123—138no—
1290#123—138no—
1291#123—138no—
1292#123—138no—
1293#123—138no—
1294#123—138no—
1295#123—138no—
1296#123—138no—
1297#123—138no—
1298#123—138no—
1299#123—138no—
1300#123—138no—
1301#123—138no—
1302#123—138no—
1303#123—138no—
1304#123—138no—
1305#123—138no—
1306#123—138no—
1307#123—138no—
1308#123C22×D1318yes—
1309#123C22×D1318yes—
1310#123C22×D1318yes—
1311#123C22×D1318yes—
1312C22⋊Q8—138no—
1313C22⋊Q8—138no—
1314C22⋊Q8—138no—
1315C22⋊Q8—138no—
1316C22⋊Q8—138no—
1317C22⋊Q8—138no—
1318C22⋊Q8—138no—
1319C22⋊Q8—138no—
1320C22⋊Q8—138no—
1321C22⋊Q8—138no—
1322C22⋊Q8—138no—
1323C22⋊Q8—138no—
1324C22⋊Q8—138no—
1325C22⋊Q8—138no—
1326C22⋊Q8—138no—
1327C22⋊Q8—138no—
1328C22⋊Q8—138no—
1329C22⋊Q8—138no—
1330C22⋊Q8—138no—
1331C22⋊Q8—138no—
1332C22⋊Q8—138no—
1333C22⋊Q8—138no—
1334C22⋊Q8—138no—
1335C22⋊Q8C22×D1318yes—
1336C22⋊Q8C22×D1318yes—
1337#121—138no—
1338#121—138no—
1339#121—138no—
1340#121—138no—
1341#121—138no—
1342#121—138no—
1343#121—138no—
1344#121—138no—
1345#121—138no—
1346#121—138no—
1347#121—138no—
1348#121—138no—
1349#121—138no—
1350#121—138no—
1351#121—138no—
1352#121—138no—
1353#121—138no—
1354#121—138no—
1355#121—138no—
1356#121—138no—
1357#121—138no—
1358#121—138no—
1359#121—138no—
1360#121C22×D1318yes—
1361#121C22×D1318yes—
1362C4×Q8—138no—
1363C4×D4—138no—
1364C4×D4—138no—
1365C4×D4—138no—
1366C4×D4—138no—
1367C4×D4—138no—
1368C4×D4—138no—
1369C4×D4—138no—
1370C4×D4—138no—
1371C4×D4—138no—
1372C4×D4—138no—
1373C4×D4—138no—
1374C4×D4—138no—
1375C4×D4—138no—
1376C4×D4—138no—
1377C4×D4—138no—
1378C4×D4—138no—
1379C4×D4—138no—
1380C4×D4C22×D1318yes—
1381C4×D4C22×D1318yes—
1382#117—138no—
1383#117—138no—
1384#117—138no—
1385#117—138no—
1386C2×C4⋊C4—131no—
1387C2×C4⋊C4—131no—
1388C2×C4⋊C4—131no—
1389C2×C4⋊C4—131no—
1390C2×C4⋊C4—131no—
1391C2×C4⋊C4—131no—
1392C2×C4⋊C4—131no—
1393C2×C4⋊C4—131no—
1394C2×C4⋊C4—131no—
1395C2×C4⋊C4—131no—
1396C2×C4⋊C4—131no—
1397C2×C4⋊C4—131no—
1398C2×C4⋊C4—131no—
1399C2×C4⋊C4—131no—
1400C2×C4⋊C4—131no—
1401C2×C4⋊C4—131no—
1402C2×C4⋊C4—131no—
1403C2×C4⋊C4—131no—
1404C2×C4⋊C4—131no—
1405C2×C4⋊C4—131no—
1406C2×C4⋊C4—131no—
1407C2×C4⋊C4—131no—
1408C2×C4⋊C4—131no—
1409C2×C4⋊C4—131no—
1410C2×C4⋊C4—131no—
1411C2×C4⋊C4—131no—
1412C2×C4⋊C4—131no—
1413C2×C4⋊C4—131no—
1414C2×C4⋊C4—131no—
1415C2×C4⋊C4—131no—
1416C2×C4⋊C4—131no—
1417C2×C4⋊C4—131no—
1418C2×C4⋊C4—138no—
1419C2×C4⋊C4—138no—
1420C2×C4⋊C4—138no—
1421C2×C4⋊C4—138no—
1422C2×C4⋊C4—138no—
1423C2×C4⋊C4—138no—
1424C2×C4⋊C4—138no—
1425C2×C4⋊C4—131no—
1426C2×C4⋊C4—131no—
1427C2×C4⋊C4—131no—
1428C2×C4⋊C4—131no—
1429C2×C4⋊C4—131no—
1430C2×C4⋊C4—131no—
1431C2×C4⋊C4—131no—
1432C2×C4⋊C4—131no—
1433C2×C4⋊C4—131no—
1434C2×C4⋊C4—131no—
1435C2×C4⋊C4—131no—
1436C2×C4⋊C4—131no—
1437C2×C4⋊C4—138no—
1438C2×C4⋊C4—138no—
1439C2×C4⋊C4—138no—
1440C2×C4⋊C4C22×D1311yescharacteristic
1441C2×C4⋊C4C22×D1311yescharacteristic
1442C2×C4⋊C4C22×D1311yescharacteristic
1443C2×C4⋊C4C22×D1311yescharacteristic
1444C2×C4⋊C4C22×D1311yescharacteristic
1445C2×C4⋊C4C22×D1311yescharacteristic
1446C2×C4⋊C4C22×D1311yescharacteristic
1447C2×C4⋊C4C22×D1311yescharacteristic
1448C2×C4⋊C4C22×D1318yes—
1449C2×C4⋊C4C22×D1318yes—
1450C2×C4⋊C4C22×D1311yescharacteristic
1451C2×C4⋊C4C22×D1311yescharacteristic
1452C2×C22⋊C4—131no—
1453C2×C22⋊C4—131no—
1454C2×C22⋊C4—131no—
1455C2×C22⋊C4—131no—
1456C2×C22⋊C4—131no—
1457C2×C22⋊C4—131no—
1458C2×C22⋊C4—131no—
1459C2×C22⋊C4—131no—
1460C2×C22⋊C4—131no—
1461C2×C22⋊C4—131no—
1462C2×C22⋊C4—131no—
1463C2×C22⋊C4—131no—
1464C2×C22⋊C4—131no—
1465C2×C22⋊C4—131no—
1466C2×C22⋊C4—131no—
1467C2×C22⋊C4—131no—
1468C2×C22⋊C4—131no—
1469C2×C22⋊C4—131no—
1470C2×C22⋊C4—131no—
1471C2×C22⋊C4—131no—
1472C2×C22⋊C4—131no—
1473C2×C22⋊C4—131no—
1474C2×C22⋊C4—131no—
1475C2×C22⋊C4—131no—
1476C2×C22⋊C4—131no—
1477C2×C22⋊C4—131no—
1478C2×C22⋊C4—131no—
1479C2×C22⋊C4—131no—
1480C2×C22⋊C4—131no—
1481C2×C22⋊C4—131no—
1482C2×C22⋊C4C22×D1311yescharacteristic
1483C2×C22⋊C4C22×D1311yescharacteristic
1484C2×C22⋊C4C22×D1311yescharacteristic
1485C2×C22⋊C4C22×D1311yescharacteristic
1486C2×C22⋊C4C22×D1311yescharacteristic
1487C2×C22⋊C4C22×D1311yescharacteristic
1488C2×C22⋊C4C22×D1311yescharacteristic
1489C2×C22⋊C4C22×D1311yescharacteristic
1490C2×C42—131no—
1491C2×C42—131no—
1492C2×C42—131no—
1493C2×C42—131no—
1494C2×C42—131no—
1495C2×C42—131no—
1496C2×C42—131no—
1497C2×C42—131no—
1498C2×C42—131no—
1499C2×C42—138no—
1500C2×C42C22×D1311yescharacteristic
1501C2×C13—24no—
1502C2×C13—42no—
1503C2×C13—42no—
1504C2×C13—42no—
1505C2×C13#355914yescomplemented
1506C2×C13C22×H(5,𝔽2)11yescharacteristic
1507C2×C13C22×2−1+411yescharacteristic
1508C2×C13C2×#58511yescharacteristic
1509D13—42no—
1510D13—42no—
1511D13—42no—
1512C24—131no—
1513C24—131no—
1514C24—131no—
1515C24C23×D1311yescharacteristic
1516C24C23×D1311yescharacteristic
1517C24C23×D1311yescharacteristic
1518C24C23×D1311yescharacteristic
1519#41—416no—
1520#41—416no—
1521#41—5216no—
1522#41—5216no—
1523#41—5216no—
1524#41—5216no—
1525C2×Q8—42no—
1526C2×Q8—42no—
1527C2×Q8—134no—
1528C2×Q8—134no—
1529C2×Q8—134no—
1530C2×Q8—134no—
1531C2×Q8—134no—
1532C2×Q8—522no—
1533C2×Q8—522no—
1534C2×Q8—522no—
1535C2×Q8—522no—
1536C2×Q8—522no—
1537C2×Q8C23×D1314yes—
1538C2×Q8C23×D1314yes—
1539C2×D4—24no—
1540C2×D4—24no—
1541C2×D4—24no—
1542C2×D4—42no—
1543C2×D4—42no—
1544C2×D4—42no—
1545C2×D4—134no—
1546C2×D4—134no—
1547C2×D4—134no—
1548C2×D4—134no—
1549C2×D4—134no—
1550C2×D4—134no—
1551C2×D4—134no—
1552C2×D4—134no—
1553C2×D4—134no—
1554C2×D4—134no—
1555C2×D4—134no—
1556C2×D4—134no—
1557C2×D4—134no—
1558C2×D4—134no—
1559C2×D4—134no—
1560C2×D4—264no—
1561C2×D4—264no—
1562C2×D4—264no—
1563C2×D4—264no—
1564C2×D4—264no—
1565C2×D4—522no—
1566C2×D4—522no—
1567C2×D4—522no—
1568C2×D4—522no—
1569C2×D4—522no—
1570C2×D4—522no—
1571C2×D4—522no—
1572C2×D4—522no—
1573C2×D4—522no—
1574C2×D4—522no—
1575C2×D4C23×D1314yes—
1576C2×D4C23×D1314yes—
1577C2×D4C23×D1314yes—
1578C2×D4C23×D1314yes—
1579C2×D4C23×D1314yes—
1580C2×D4C23×D1314yes—
1581C22×C4—24no—
1582C22×C4—24no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—131no—
1590C22×C4—134no—
1591C22×C4—134no—
1592C22×C4—134no—
1593C22×C4—131no—
1594C22×C4—131no—
1595C22×C4—131no—
1596C22×C4—131no—
1597C22×C4—131no—
1598C22×C4—131no—
1599C22×C4—131no—
1600C22×C4—131no—
1601C22×C4—131no—
1602C22×C4—131no—
1603C22×C4—131no—
1604C22×C4—131no—
1605C22×C4—134no—
1606C22×C4—134no—
1607C22×C4—134no—
1608C22×C4—134no—
1609C22×C4—134no—
1610C22×C4—134no—
1611C22×C4—134no—
1612C22×C4—134no—
1613C22×C4—134no—
1614C22×C4—134no—
1615C22×C4—134no—
1616C22×C4—134no—
1617C22×C4—134no—
1618C22×C4—134no—
1619C22×C4—264no—
1620C22×C4—264no—
1621C22×C4—264no—
1622C22×C4—264no—
1623C22×C4—522no—
1624C22×C4—522no—
1625C22×C4—522no—
1626C22×C4—522no—
1627C22×C4—522no—
1628C22×C4—522no—
1629C22×C4—522no—
1630C22×C4—522no—
1631C22×C4—522no—
1632C22×C4—522no—
1633C22×C4—522no—
1634C22×C4—522no—
1635C22×C4—522no—
1636C22×C4C23×D1314yes—
1637C22×C4C23×D1314yes—
1638C22×C4C23×D1311yescharacteristic
1639C22×C4C23×D1311yescharacteristic
1640C22×C4C23×D1311yescharacteristic
1641C22×C4C23×D1311yescharacteristic
1642C22×C4C23×D1311yescharacteristic
1643C22×C4C23×D1311yescharacteristic
1644C22×C4C23×D1311yescharacteristic
1645C22×C4C23×D1311yescharacteristic
1646C22×C4C23×D1311yescharacteristic
1647C22×C4C23×D1311yescharacteristic
1648C22×C4C23×D1311yescharacteristic
1649C22×C4C23×D1314yes—
1650C22×C4C23×D1314yes—
1651C22×C4C23×D1314yes—
1652C22×C4C23×D1314yes—
1653C22×C4C23×D1314yes—
1654C22×C4C23×D1314yes—
1655C4⋊C4—134no—
1656C4⋊C4—134no—
1657C4⋊C4—134no—
1658C4⋊C4—134no—
1659C4⋊C4—134no—
1660C4⋊C4—134no—
1661C4⋊C4—134no—
1662C4⋊C4—134no—
1663C4⋊C4—134no—
1664C4⋊C4—134no—
1665C4⋊C4—134no—
1666C4⋊C4—134no—
1667C4⋊C4—134no—
1668C4⋊C4—134no—
1669C4⋊C4—134no—
1670C4⋊C4—134no—
1671C4⋊C4—134no—
1672C4⋊C4—134no—
1673C4⋊C4—134no—
1674C4⋊C4—134no—
1675C4⋊C4—134no—
1676C4⋊C4—134no—
1677C4⋊C4—134no—
1678C4⋊C4—134no—
1679C4⋊C4—134no—
1680C4⋊C4—134no—
1681C4⋊C4—134no—
1682C4⋊C4—134no—
1683C4⋊C4—134no—
1684C4⋊C4—134no—
1685C4⋊C4—134no—
1686C4⋊C4—134no—
1687C4⋊C4—134no—
1688C4⋊C4—134no—
1689C4⋊C4—134no—
1690C4⋊C4—134no—
1691C4⋊C4—134no—
1692C4⋊C4—134no—
1693C4⋊C4—134no—
1694C4⋊C4—134no—
1695C4⋊C4—134no—
1696C4⋊C4—134no—
1697C4⋊C4—134no—
1698C4⋊C4—134no—
1699C4⋊C4C23×D1314yes—
1700C4⋊C4C23×D1314yes—
1701C4⋊C4C23×D1314yes—
1702C4⋊C4C23×D1314yes—
1703C4⋊C4C23×D1314yes—
1704C4⋊C4C23×D1314yes—
1705C4⋊C4C23×D1314yes—
1706C4⋊C4C23×D1314yes—
1707C4⋊C4C23×D1314yes—
1708C4⋊C4C23×D1314yes—
1709C22⋊C4—134no—
1710C22⋊C4—134no—
1711C22⋊C4—134no—
1712C22⋊C4—134no—
1713C22⋊C4—134no—
1714C22⋊C4—134no—
1715C22⋊C4—134no—
1716C22⋊C4—134no—
1717C22⋊C4—134no—
1718C22⋊C4—134no—
1719C22⋊C4—134no—
1720C22⋊C4—134no—
1721C22⋊C4—134no—
1722C22⋊C4—134no—
1723C22⋊C4—134no—
1724C22⋊C4—134no—
1725C22⋊C4—134no—
1726C22⋊C4—134no—
1727C22⋊C4—134no—
1728C22⋊C4—134no—
1729C22⋊C4—134no—
1730C22⋊C4—134no—
1731C22⋊C4—134no—
1732C22⋊C4—134no—
1733C22⋊C4—134no—
1734C22⋊C4—134no—
1735C22⋊C4—134no—
1736C22⋊C4—134no—
1737C22⋊C4—134no—
1738C22⋊C4—134no—
1739C22⋊C4C23×D1314yes—
1740C22⋊C4C23×D1314yes—
1741C22⋊C4C23×D1314yes—
1742C22⋊C4C23×D1314yes—
1743C22⋊C4C23×D1314yes—
1744C22⋊C4C23×D1314yes—
1745C22⋊C4C23×D1314yes—
1746C22⋊C4C23×D1314yes—
1747C42—134no—
1748C42—134no—
1749C42—134no—
1750C42—134no—
1751C42—134no—
1752C42—134no—
1753C42—134no—
1754C42—134no—
1755C42—134no—
1756C42C23×D1314yes—
1757C13C2×#355911yescharacteristic, complemented, Sylow
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—22no—
1766C23—22no—
1767C23—22no—
1768C23—22no—
1769C23—132no—
1770C23—132no—
1771C23—132no—
1772C23—262no—
1773C23—262no—
1774C23—262no—
1775C23—262no—
1776C23—262no—
1777C23—262no—
1778C23—262no—
1779C23—262no—
1780C23—262no—
1781C23#8825114yes—
1782C23C24×D1312yes—
1783C23C24×D1312yes—
1784C23C24×D1312yes—
1785C23C24×D1312yes—
1786C23C24×D1311yescharacteristic
1787Q8—44no—
1788Q8—44no—
1789Q8—524no—
1790Q8—524no—
1791Q8—524no—
1792Q8—524no—
1793Q8—524no—
1794D4—28no—
1795D4—28no—
1796D4—28no—
1797D4—44no—
1798D4—44no—
1799D4—44no—
1800D4—268no—
1801D4—268no—
1802D4—268no—
1803D4—268no—
1804D4—268no—
1805D4—524no—
1806D4—524no—
1807D4—524no—
1808D4—524no—
1809D4—524no—
1810D4—524no—
1811D4—524no—
1812D4—524no—
1813D4—524no—
1814D4—524no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—28no—
1820C2×C4—28no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—44no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—134no—
1835C2×C4—132no—
1836C2×C4—132no—
1837C2×C4—132no—
1838C2×C4—132no—
1839C2×C4—132no—
1840C2×C4—132no—
1841C2×C4—132no—
1842C2×C4—132no—
1843C2×C4—132no—
1844C2×C4—132no—
1845C2×C4—132no—
1846C2×C4—132no—
1847C2×C4—132no—
1848C2×C4—268no—
1849C2×C4—268no—
1850C2×C4—268no—
1851C2×C4—262no—
1852C2×C4—262no—
1853C2×C4—268no—
1854C2×C4—262no—
1855C2×C4—262no—
1856C2×C4—262no—
1857C2×C4—262no—
1858C2×C4—262no—
1859C2×C4—262no—
1860C2×C4—262no—
1861C2×C4—262no—
1862C2×C4—262no—
1863C2×C4—262no—
1864C2×C4—524no—
1865C2×C4—524no—
1866C2×C4—524no—
1867C2×C4—524no—
1868C2×C4—524no—
1869C2×C4—524no—
1870C2×C4—524no—
1871C2×C4—524no—
1872C2×C4—524no—
1873C2×C4—524no—
1874C2×C4—524no—
1875C2×C4—524no—
1876C2×C4—524no—
1877C2×C4C24×D1312yes—
1878C2×C4C24×D1312yes—
1879C2×C4C24×D1312yes—
1880C2×C4C24×D1312yes—
1881C2×C4C24×D1312yes—
1882C2×C4C24×D1312yes—
1883C2×C4C24×D1312yes—
1884C2×C4C24×D1312yes—
1885C2×C4C24×D1312yes—
1886C2×C4C24×D1312yes—
1887C2×C4C24×D1312yes—
1888C22—28no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—44no—
1901C22—44no—
1902C22—44no—
1903C22—262no—
1904C22—262no—
1905C22—262no—
1906C22—262no—
1907C22—262no—
1908C22—262no—
1909C22—262no—
1910C22—262no—
1911C22—262no—
1912C22—524no—
1913C22—524no—
1914C22—524no—
1915C22C2×#8825114yes—
1916C22C2×#8825112yes—
1917C22#1171964812yes—
1918C22D13×2−1+412yes—
1919C22C25×D1311yescharacteristic
1920C4—22no—
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—22no—
1930C4—22no—
1931C4—134no—
1932C4—262no—
1933C4—262no—
1934C4—262no—
1935C4—262no—
1936C4—262no—
1937C4—262no—
1938C4—262no—
1939C4—262no—
1940C4—262no—
1941C4—262no—
1942C4—262no—
1943C4—262no—
1944C2—24no—
1945C2—42no—
1946C2—42no—
1947C2—42no—
1948C2—522no—
1949C2—522no—
1950C2—522no—
1951C2#1312936114yesdirect product factor
1952C2C22×#8825111yescharacteristic
1953C2C2×D13×2−1+411yescharacteristic
1954C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#547C2
socleC23×C13C25
hypercenterC2×#547D13
hypocenterC13C2×#3559
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#547

Complements

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

NH ≅ G/Ntype
1. #13129361C2direct (N × H)
2. C2×#11719356C2semidirect
3. C2×#11719440C2semidirect
4. C2×#11719352C2semidirect
5. C2×#11719326C2semidirect
6. C2×#11719216C2semidirect
7. C2×#11719341C2semidirect
8. C2×#11719245C2semidirect
9. C2×#11719245C2semidirect
10. C2×#11719366C2semidirect
11. C2×#11719306C2semidirect
12. C2×#11719212C2semidirect
13. C2×#11719529C2semidirect
14. C2×#11719529C2semidirect
15. C2×#11719360C2semidirect
16. C2×#11719360C2semidirect
17. C2×#11719328C2semidirect
18. C2×#11719434C2semidirect
19. C2×#11719368C2semidirect
20. C2×#11719320C2semidirect
21. C2×#11719220C2semidirect
22. C2×#11719343C2semidirect
23. C2×#11719370C2semidirect
24. C2×#11719365C2semidirect
25. C2×#11719269C2semidirect
26. C2×#11719269C2semidirect
27. C2×#11719538C2semidirect
28. C2×#11719302C2semidirect
29. C2×#11719537C2semidirect
30. C2×#11719354C2semidirect
31. C22×#88143C2semidirect
32. C2×C13×#547C2semidirect
39. C13×#547C22semidirect
53. #11719538C22semidirect
54. #11719537C22semidirect
55. #11719529C22semidirect
56. #11719529C22semidirect
117. #11719440C22semidirect
118. #11719434C22semidirect
119. #11719370C22semidirect
120. #11719368C22semidirect
121. #11719366C22semidirect
122. #11719365C22semidirect
123. #11719360C22semidirect
124. #11719360C22semidirect
125. #11719356C22semidirect
126. #11719354C22semidirect
127. #11719352C22semidirect
128. #11719343C22semidirect
129. #11719341C22semidirect
130. #11719328C22semidirect
131. #11719326C22semidirect
132. #11719320C22semidirect
133. #11719306C22semidirect
134. #11719302C22semidirect
135. #11719269C22semidirect
136. #11719269C22semidirect
137. #11719245C22semidirect
138. #11719245C22semidirect
139. #11719220C22semidirect
143. #11719216C22semidirect
152. #11719212C22semidirect
178. C2×#88143C22semidirect
797. C2×#547D13semidirect
964. #547C2×D13semidirect
1505. C2×C13#3559semidirect
1757. C13C2×#3559semidirect
1951. C2#13129361direct (N × H)

Maximal subgroups

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

subgroupindex
#131293612
C2×#117193562
C2×#117194402
C2×#117193522
C2×#117193262
C2×#117192162
C2×#117193412
C2×#117192452
C2×#117193662
C2×#117193062
C2×#117192122
C2×#117195292
C2×#117193602
C2×#117193282
C2×#117194342
C2×#117193682
C2×#117193202
C2×#117192202
C2×#117193432
C2×#117193702
C2×#117193652
C2×#117192692
C2×#117195382
C2×#117193022
C2×#117195372
C2×#117193542
C22×#881432
C2×C13×#5472
C2×#355913