Finite Group Databasebeta

← C2×#13129362 #16770278

Subgroups — C2×#13129362 #16770278

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#13129362C2132yesmaximal, direct product factor
2C2×#11719417C211yesmaximal, characteristic, complemented
3C2×#11719351C211yesmaximal, characteristic, complemented
4C2×#11719372C211yesmaximal, characteristic, complemented
5C2×#11719372C211yesmaximal, characteristic, complemented
6C2×#11719216C211yesmaximal, characteristic, complemented
7C2×#11719341C211yesmaximal, characteristic, complemented
8C2×#11719414C211yesmaximal, characteristic, complemented
9C2×#11719245C211yesmaximal, characteristic, complemented
10C2×#11719366C211yesmaximal, characteristic, complemented
11C2×#11719366C211yesmaximal, characteristic, complemented
12C2×#11719256C211yesmaximal, characteristic, complemented
13C2×#11719336C211yesmaximal, characteristic, complemented
14C2×#11719336C211yesmaximal, characteristic, complemented
15C2×#11719212C211yesmaximal, characteristic, complemented
16C2×#11719360C211yesmaximal, characteristic, complemented
17C2×#11719360C211yesmaximal, characteristic, complemented
18C2×#11719394C211yesmaximal, characteristic, complemented
19C2×#11719328C211yesmaximal, characteristic, complemented
20C2×#11719368C211yesmaximal, characteristic, complemented
21C2×#11719320C211yesmaximal, characteristic, complemented
22C2×#11719397C211yesmaximal, characteristic, complemented
23C2×#11719397C211yesmaximal, characteristic, complemented
24C2×#11719365C211yesmaximal, characteristic, complemented
25C2×#11719269C211yesmaximal, characteristic, complemented
26C2×#11719412C211yesmaximal, characteristic, complemented
27C2×#11719334C211yesmaximal, characteristic, complemented
28C2×#11719313C211yesmaximal, characteristic, complemented
29C2×#11719253C211yesmaximal, characteristic, complemented
30C2×#11719411C211yesmaximal, characteristic, complemented
31C2×D13×#125C211yesmaximal, characteristic, complemented
32C2×C13×#539C211yesmaximal, characteristic, complemented
33C22×#6131C2211yescharacteristic
34C22×#6129C2211yescharacteristic
35C22×#6127C2211yescharacteristic
36C22×#6127C2211yescharacteristic
37C22×#6127C2211yescharacteristic
38C22×#6127C2211yescharacteristic
39C13×#539C22116yescomplemented
40C2×C13×#126C2211yescharacteristic
41C2×C13×#126C2211yescharacteristic
42C2×C13×#125C2211yescharacteristic
43C2×C13×#125C2211yescharacteristic
44C2×C13×#123C2211yescharacteristic
45C2×C13×#123C2211yescharacteristic
46C2×C13×#123C2211yescharacteristic
47C2×C13×#123C2211yescharacteristic
48C2×C13×C22⋊Q8C2211yescharacteristic
49C2×C13×C22⋊Q8C2211yescharacteristic
50C2×C13×C22⋊Q8C2211yescharacteristic
51C2×C13×#121C2211yescharacteristic
52C2×C4×D4×C13C2211yescharacteristic
53C2×C4×D4×C13C2211yescharacteristic
54C22×C13×C4⋊C4C2211yescharacteristic
55C2×#88200C2211yescharacteristic
56C2×#88198C2211yescharacteristic
57C2×#88198C2211yescharacteristic
58C2×#88194C2211yescharacteristic
59C2×#88193C2211yescharacteristic
60C2×#88193C2211yescharacteristic
61C2×#88193C2211yescharacteristic
62C2×#88193C2211yescharacteristic
63C2×#88193C2211yescharacteristic
64C2×#88192C2211yescharacteristic
65C2×#88192C2211yescharacteristic
66C2×#88192C2211yescharacteristic
67C2×#88192C2211yescharacteristic
68C2×#88189C2211yescharacteristic
69C2×#88184C2211yescharacteristic
70C2×#88184C2211yescharacteristic
71C2×#88183C2211yescharacteristic
72C2×#88183C2211yescharacteristic
73C2×C4×C22⋊D13C2211yescharacteristic
74C2×C4×C22⋊D13C2211yescharacteristic
75C2×C4×C22⋊D13C2211yescharacteristic
76C2×C4×C22⋊D13C2211yescharacteristic
77C2×C4×C22⋊D13C2211yescharacteristic
78C2×C4×C22⋊D13C2211yescharacteristic
79C2×#88178C2211yescharacteristic
80C2×#88178C2211yescharacteristic
81C2×#88178C2211yescharacteristic
82C2×#88178C2211yescharacteristic
83C22×#6101C2211yescharacteristic
84C22×#6101C2211yescharacteristic
85#11719417C22116yescomplemented
86#11719414C22116yescomplemented
87#11719412C22116yescomplemented
88#11719411C22116yescomplemented
89#11719397C22116yescomplemented
90#11719397C22116yescomplemented
91#11719394C22116yescomplemented
92D13×#125C22116yescomplemented
93#11719372C22116yescomplemented
94#11719372C22116yescomplemented
95#11719368C22116yescomplemented
96#11719366C22116yescomplemented
97#11719366C22116yescomplemented
98#11719365C22116yescomplemented
99#11719360C22116yescomplemented
100#11719360C22116yescomplemented
101#11719351C22116yescomplemented
102#11719341C22116yescomplemented
103#11719336C22116yescomplemented
104#11719336C22116yescomplemented
105#11719334C22116yescomplemented
106#11719328C22116yescomplemented
107#11719320C22116yescomplemented
108#11719313C22116yescomplemented
109#11719269C22116yescomplemented
110#11719256C22116yescomplemented
111#11719253C22116yescomplemented
112#11719245C22116yescomplemented
113C2×#88152C2211yescharacteristic
114C2×#88152C2211yescharacteristic
115C2×#88152C2211yescharacteristic
116#11719216C22116yescomplemented
117C2×#88151C2211yescharacteristic
118C2×#88151C2211yescharacteristic
119C2×#88151C2211yescharacteristic
120C2×#88151C2211yescharacteristic
121C2×#88150C2211yescharacteristic
122C2×#88150C2211yescharacteristic
123C2×#88150C2211yescharacteristic
124C2×#88150C2211yescharacteristic
125C2×#88150C2211yescharacteristic
126C2×#88150C2211yescharacteristic
127C2×#88150C2211yescharacteristic
128C2×#88150C2211yescharacteristic
129#11719212C22116yescomplemented
130C2×#88149C2211yescharacteristic
131C2×#88149C2211yescharacteristic
132C2×#88149C2211yescharacteristic
133C2×#88148C2211yescharacteristic
134C2×#88148C2211yescharacteristic
135C2×#88148C2211yescharacteristic
136C2×#88148C2211yescharacteristic
137C2×#88148C2211yescharacteristic
138C2×#88148C2211yescharacteristic
139C2×#88148C2211yescharacteristic
140C2×#88148C2211yescharacteristic
141C2×#88147C2211yescharacteristic
142C2×#88147C2211yescharacteristic
143C2×#88147C2211yescharacteristic
144C2×#88146C2211yescharacteristic
145C2×C4⋊C4×D13C2211yescharacteristic
146C2×C4⋊C4×D13C2211yescharacteristic
147C2×C4⋊C4×D13C2211yescharacteristic
148C2×C4⋊C4×D13C2211yescharacteristic
149C2×C4⋊C4×D13C2211yescharacteristic
150C2×C4⋊C4×D13C2211yescharacteristic
151C2×C4⋊C4×D13C2211yescharacteristic
152C2×C4⋊C4×D13C2211yescharacteristic
153C2×C4⋊C4×D13C2211yescharacteristic
154C2×#88144C2211yescharacteristic
155C2×#88144C2211yescharacteristic
156C2×#88144C2211yescharacteristic
157C2×#88143C2211yescharacteristic
158C2×#88143C2211yescharacteristic
159C2×#88143C2211yescharacteristic
160C2×#88143C2211yescharacteristic
161C2×#88143C2211yescharacteristic
162C2×#88143C2211yescharacteristic
163C2×#88143C2211yescharacteristic
164C2×#88143C2211yescharacteristic
165C2×#88143C2211yescharacteristic
166C2×#88142C2211yescharacteristic
167C2×#88142C2211yescharacteristic
168C2×#88142C2211yescharacteristic
169C2×#88142C2211yescharacteristic
170C2×#88141C2211yescharacteristic
171C2×#88140C2211yescharacteristic
172C2×#88140C2211yescharacteristic
173C2×#88140C2211yescharacteristic
174C2×#88139C2211yescharacteristic
175C2×#88139C2211yescharacteristic
176C2×#88139C2211yescharacteristic
177C2×#88138C2211yescharacteristic
178C2×#88138C2211yescharacteristic
179C2×#88138C2211yescharacteristic
180C2×#88138C2211yescharacteristic
181C2×#88138C2211yescharacteristic
182C2×#88138C2211yescharacteristic
183C2×#88138C2211yescharacteristic
184C2×#88138C2211yescharacteristic
185C2×#88138C2211yescharacteristic
186C2×#88138C2211yescharacteristic
187C2×#88137C2211yescharacteristic
188C2×#88137C2211yescharacteristic
189C2×#88137C2211yescharacteristic
190C2×#88137C2211yescharacteristic
191C2×#88137C2211yescharacteristic
192C2×#88137C2211yescharacteristic
193C2×#88137C2211yescharacteristic
194C2×#88137C2211yescharacteristic
195C2×#88135C2211yescharacteristic
196C2×#88135C2211yescharacteristic
197C2×#88135C2211yescharacteristic
198C2×#88135C2211yescharacteristic
199C2×#88135C2211yescharacteristic
200C2×#88135C2211yescharacteristic
201C2×#88133C2211yescharacteristic
202C2×#88133C2211yescharacteristic
203C2×#88133C2211yescharacteristic
204C2×#88132C2211yescharacteristic
205C2×#88132C2211yescharacteristic
206C2×#88132C2211yescharacteristic
207C2×#88132C2211yescharacteristic
208C2×#88132C2211yescharacteristic
209C2×#88131C2211yescharacteristic
210C2×#88131C2211yescharacteristic
211C2×#88130C2211yescharacteristic
212C2×#88130C2211yescharacteristic
213C2×C4×D52C2211yescharacteristic
214C2×C4×D52C2211yescharacteristic
215C2×#88126C2211yescharacteristic
216C2×C42×D13C2211yescharacteristic
217C2×#88124C2211yescharacteristic
218C2×#88123C2211yescharacteristic
219C22×Q8×C13C2311yescharacteristic
220C22×D4×C13C2311yescharacteristic
221C22×D4×C13C2311yescharacteristic
222C22×D4×C13C2311yescharacteristic
223C23×C4×C13C2311yescharacteristic
224C23×C4×C13C2311yescharacteristic
225C23×C4×C13C2311yescharacteristic
226C23×C4×C13C2311yescharacteristic
227C23×C4×C13C2311yescharacteristic
228C22×C22⋊D13C2311yescharacteristic
229C22×C22⋊D13C2311yescharacteristic
230C22×C22⋊D13C2311yescharacteristic
231C22×C22⋊D13C2311yescharacteristic
232C22×C22⋊D13C2311yescharacteristic
233C22×C22⋊D13C2311yescharacteristic
234C22×C22⋊D13C2311yescharacteristic
235C22×C22⋊D13C2311yescharacteristic
236C22×C22⋊D13C2311yescharacteristic
237C22×C22⋊D13C2311yescharacteristic
238C22×C22⋊D13C2311yescharacteristic
239C22×C22⋊D13C2311yescharacteristic
240C23×Dic13C2311yescharacteristic
241C23×Dic13C2311yescharacteristic
242C23×Dic13C2311yescharacteristic
243C23×Dic13C2311yescharacteristic
244C2×#6131—44no—
245C2×#6131C2318yes—
246C2×#6129—44no—
247C2×#6129C2318yes—
248C2×#6127—44no—
249C2×#6127—44no—
250C2×#6127—44no—
251C2×#6127—44no—
252C2×#6127C2318yes—
253C2×#6127C2318yes—
254C2×#6127C2318yes—
255C2×#6127C2318yes—
256C22×D52C2311yescharacteristic
257C22×D52C2311yescharacteristic
258C22×D52C2311yescharacteristic
259C22×D52C2311yescharacteristic
260C22×D52C2311yescharacteristic
261C22×D52C2311yescharacteristic
262C22×C4×D13C2311yescharacteristic
263C22×C4×D13C2311yescharacteristic
264C22×C4×D13C2311yescharacteristic
265C22×C4×D13C2311yescharacteristic
266C22×C4×D13C2311yescharacteristic
267C22×C4×D13C2311yescharacteristic
268C22×C4×D13C2311yescharacteristic
269C22×C4×D13C2311yescharacteristic
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×Dic26C2311yescharacteristic
279C22×Dic26C2311yescharacteristic
280C22×Dic26C2311yescharacteristic
281C22×Dic26C2311yescharacteristic
282C22×Dic26C2311yescharacteristic
283C22×Dic26C2311yescharacteristic
284C13×#126C2318yes—
285C13×#126C2318yes—
286C13×#125C2318yes—
287C13×#125C2318yes—
288C13×#123C2318yes—
289C13×#123C2318yes—
290C13×#123C2318yes—
291C13×#123C2318yes—
292C13×C22⋊Q8C2318yes—
293C13×C22⋊Q8C2318yes—
294C13×C22⋊Q8C2318yes—
295C13×#121C2318yes—
296C4×D4×C13C2318yes—
297C4×D4×C13C2318yes—
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⋊C4C2311yescharacteristic
305C2×C13×C4⋊C4C2311yescharacteristic
306C2×C13×C4⋊C4C2311yescharacteristic
307C2×C13×C4⋊C4C2311yescharacteristic
308C2×C13×C4⋊C4C2311yescharacteristic
309C2×C13×C4⋊C4C2311yescharacteristic
310C2×C13×C4⋊C4C2311yescharacteristic
311C2×C13×C4⋊C4C2311yescharacteristic
312C2×C13×C4⋊C4C2318yes—
313C2×C13×C22⋊C4C2311yescharacteristic
314C2×C13×C22⋊C4C2311yescharacteristic
315C2×C13×C22⋊C4C2311yescharacteristic
316C2×C13×C22⋊C4C2311yescharacteristic
317C2×C13×C22⋊C4C2311yescharacteristic
318C2×C13×C22⋊C4C2311yescharacteristic
319C2×C13×C22⋊C4C2311yescharacteristic
320C2×C13×C22⋊C4C2311yescharacteristic
321C2×C13×C22⋊C4C2311yescharacteristic
322C2×C13×C22⋊C4C2311yescharacteristic
323C2×C42×C13C2311yescharacteristic
324C2×C42×C13C2311yescharacteristic
325C2×C22⋊Dic13C2311yescharacteristic
326C2×C22⋊Dic13C2311yescharacteristic
327C2×C22⋊Dic13C2311yescharacteristic
328C2×C22⋊Dic13C2311yescharacteristic
329C2×C22⋊Dic13C2311yescharacteristic
330C2×C22⋊Dic13C2311yescharacteristic
331C2×C22⋊Dic13C2311yescharacteristic
332C2×C22⋊Dic13C2311yescharacteristic
333#88200C2318yes—
334#88198C2318yes—
335#88198C2318yes—
336#88194C2318yes—
337#88193C2318yes—
338#88193C2318yes—
339#88193C2318yes—
340#88193C2318yes—
341#88193C2318yes—
342#88192C2318yes—
343#88192C2318yes—
344#88192C2318yes—
345#88192C2318yes—
346#88189C2318yes—
347#88184C2318yes—
348#88184C2318yes—
349#88183C2318yes—
350#88183C2318yes—
351C4×C22⋊D13C2318yes—
352C4×C22⋊D13C2318yes—
353C4×C22⋊D13C2318yes—
354C4×C22⋊D13C2318yes—
355C4×C22⋊D13C2318yes—
356C4×C22⋊D13C2318yes—
357C2×#6103C2311yescharacteristic
358C2×#6103C2311yescharacteristic
359C2×#6103C2311yescharacteristic
360C2×#6103C2311yescharacteristic
361C2×#6103C2311yescharacteristic
362C2×#6103C2311yescharacteristic
363C2×#6103C2311yescharacteristic
364C2×#6103C2311yescharacteristic
365C2×#6103C2311yescharacteristic
366C2×#6103C2311yescharacteristic
367C2×#6103C2311yescharacteristic
368C2×#6103C2311yescharacteristic
369C2×#6103C2311yescharacteristic
370C2×#6103C2311yescharacteristic
371C2×#6103C2311yescharacteristic
372C2×#6103C2311yescharacteristic
373C2×#6103C2311yescharacteristic
374C2×#6103C2311yescharacteristic
375C2×#6103C2311yescharacteristic
376C2×#6103C2311yescharacteristic
377C2×C4⋊Dic13C2311yescharacteristic
378C2×C4⋊Dic13C2311yescharacteristic
379C2×C4⋊Dic13C2311yescharacteristic
380C2×C4⋊Dic13C2311yescharacteristic
381C2×C4⋊Dic13C2311yescharacteristic
382C2×C4⋊Dic13C2311yescharacteristic
383C2×C4⋊Dic13C2311yescharacteristic
384C2×C4⋊Dic13C2311yescharacteristic
385C2×C4⋊Dic13C2311yescharacteristic
386C2×C4⋊Dic13C2311yescharacteristic
387C2×C4⋊Dic13C2311yescharacteristic
388C2×C4⋊Dic13C2311yescharacteristic
389#88178C2318yes—
390#88178C2318yes—
391#88178C2318yes—
392#88178C2318yes—
393C2×#6101C2311yescharacteristic
394C2×#6101C2311yescharacteristic
395C2×#6101C2311yescharacteristic
396C2×#6101C2311yescharacteristic
397C2×#6101C2311yescharacteristic
398C2×#6101C2311yescharacteristic
399C2×#6101C2311yescharacteristic
400C2×#6101C2311yescharacteristic
401C2×#6101C2311yescharacteristic
402C2×#6101C2311yescharacteristic
403C2×#6101C2311yescharacteristic
404C2×#6101C2311yescharacteristic
405C2×#6101C2311yescharacteristic
406C2×#6101C2311yescharacteristic
407C2×#6101C2311yescharacteristic
408C2×#6101C2311yescharacteristic
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×#6101C2318yes—
422C2×#6101C2318yes—
423C2×C4×Dic13C2311yescharacteristic
424C2×C4×Dic13C2311yescharacteristic
425C2×C4×Dic13C2311yescharacteristic
426C2×C4×Dic13C2311yescharacteristic
427C2×C4×Dic13C2311yescharacteristic
428C2×C4×Dic13C2311yescharacteristic
429C2×C4×Dic13C2311yescharacteristic
430C2×C4×Dic13C2311yescharacteristic
431#88152C2318yes—
432#88152C2318yes—
433#88152C2318yes—
434#88151C2318yes—
435#88151C2318yes—
436#88151C2318yes—
437#88151C2318yes—
438#88150C2318yes—
439#88150C2318yes—
440#88150C2318yes—
441#88150C2318yes—
442#88150C2318yes—
443#88150C2318yes—
444#88150C2318yes—
445#88150C2318yes—
446#88149C2318yes—
447#88149C2318yes—
448#88149C2318yes—
449#88148C2318yes—
450#88148C2318yes—
451#88148C2318yes—
452#88148C2318yes—
453#88148C2318yes—
454#88148C2318yes—
455#88148C2318yes—
456#88148C2318yes—
457#88147C2318yes—
458#88147C2318yes—
459#88147C2318yes—
460#88146C2318yes—
461C4⋊C4×D13C2318yes—
462C4⋊C4×D13C2318yes—
463C4⋊C4×D13C2318yes—
464C4⋊C4×D13C2318yes—
465C4⋊C4×D13C2318yes—
466C4⋊C4×D13C2318yes—
467C4⋊C4×D13C2318yes—
468C4⋊C4×D13C2318yes—
469C4⋊C4×D13C2318yes—
470#88144C2318yes—
471#88144C2318yes—
472#88144C2318yes—
473#88143C2318yes—
474#88143C2318yes—
475#88143C2318yes—
476#88143C2318yes—
477#88143C2318yes—
478#88143C2318yes—
479#88143C2318yes—
480#88143C2318yes—
481#88143C2318yes—
482#88142C2318yes—
483#88142C2318yes—
484#88142C2318yes—
485#88142C2318yes—
486#88141C2318yes—
487#88140C2318yes—
488#88140C2318yes—
489#88140C2318yes—
490#88139C2318yes—
491#88139C2318yes—
492#88139C2318yes—
493#88138C2318yes—
494#88138C2318yes—
495#88138C2318yes—
496#88138C2318yes—
497#88138C2318yes—
498#88138C2318yes—
499#88138C2318yes—
500#88138C2318yes—
501#88138C2318yes—
502#88138C2318yes—
503#88137C2318yes—
504#88137C2318yes—
505#88137C2318yes—
506#88137C2318yes—
507#88137C2318yes—
508#88137C2318yes—
509#88137C2318yes—
510#88137C2318yes—
511#88135C2318yes—
512#88135C2318yes—
513#88135C2318yes—
514#88135C2318yes—
515#88135C2318yes—
516#88135C2318yes—
517#88133C2318yes—
518#88133C2318yes—
519#88133C2318yes—
520#88132C2318yes—
521#88132C2318yes—
522#88132C2318yes—
523#88132C2318yes—
524#88132C2318yes—
525#88131C2318yes—
526#88131C2318yes—
527#88130C2318yes—
528#88130C2318yes—
529C4×D52C2318yes—
530C4×D52C2318yes—
531#88126C2318yes—
532C42×D13C2318yes—
533#88124C2318yes—
534#88123C2318yes—
535C2×#3559—131nomaximal, Sylow
536C24×C13C2411yescharacteristic
537C24×C13C2411yescharacteristic
538C24×C13C2411yescharacteristic
539C23×D13C2411yescharacteristic
540C23×D13C2411yescharacteristic
541C23×D13C2411yescharacteristic
542C23×D13C2411yescharacteristic
543C2×Q8×C13—42no—
544C2×Q8×C13C2414yes—
545C2×D4×C13—42no—
546C2×D4×C13—42no—
547C2×D4×C13—42no—
548C2×D4×C13C2414yes—
549C2×D4×C13C2414yes—
550C2×D4×C13C2414yes—
551C22×C4×C13—42no—
552C22×C4×C13—42no—
553C22×C4×C13—42no—
554C22×C4×C13—42no—
555C22×C4×C13—42no—
556C22×C4×C13C2411yescharacteristic
557C22×C4×C13C2411yescharacteristic
558C22×C4×C13C2411yescharacteristic
559C22×C4×C13C2411yescharacteristic
560C22×C4×C13C2411yescharacteristic
561C22×C4×C13C2411yescharacteristic
562C22×C4×C13C2411yescharacteristic
563C22×C4×C13C2411yescharacteristic
564C22×C4×C13C2411yescharacteristic
565C22×C4×C13C2411yescharacteristic
566C22×C4×C13C2411yescharacteristic
567C22×C4×C13C2411yescharacteristic
568C22×C4×C13C2414yes—
569C22×C4×C13C2414yes—
570C22×C4×C13C2414yes—
571C22×C4×C13C2414yes—
572C22×C4×C13C2414yes—
573C2×C22⋊D13—24no—
574C2×C22⋊D13—24no—
575C2×C22⋊D13—24no—
576C2×C22⋊D13—24no—
577C2×C22⋊D13—24no—
578C2×C22⋊D13—42no—
579C2×C22⋊D13—42no—
580C2×C22⋊D13—42no—
581C2×C22⋊D13—42no—
582C2×C22⋊D13—42no—
583C2×C22⋊D13—42no—
584C2×C22⋊D13—42no—
585C2×C22⋊D13C2414yes—
586C2×C22⋊D13C2414yes—
587C2×C22⋊D13C2414yes—
588C2×C22⋊D13C2414yes—
589C2×C22⋊D13C2414yes—
590C2×C22⋊D13C2414yes—
591C2×C22⋊D13C2414yes—
592C2×C22⋊D13C2414yes—
593C2×C22⋊D13C2414yes—
594C2×C22⋊D13C2414yes—
595C2×C22⋊D13C2414yes—
596C2×C22⋊D13C2414yes—
597C22×Dic13—24no—
598C22×Dic13—42no—
599C22×Dic13—42no—
600C22×Dic13—42no—
601C22×Dic13C2414yes—
602C22×Dic13C2411yescharacteristic
603C22×Dic13C2411yescharacteristic
604C22×Dic13C2411yescharacteristic
605C22×Dic13C2411yescharacteristic
606C22×Dic13C2411yescharacteristic
607C22×Dic13C2411yescharacteristic
608C22×Dic13C2411yescharacteristic
609C22×Dic13C2411yescharacteristic
610C22×Dic13C2411yescharacteristic
611C22×Dic13C2411yescharacteristic
612C22×Dic13C2411yescharacteristic
613C22×Dic13C2414yes—
614C22×Dic13C2414yes—
615C22×Dic13C2414yes—
616C22×Dic13C2411yescharacteristic
617#6131—416no—
618#6129—416no—
619#6127—416no—
620#6127—416no—
621#6127—416no—
622#6127—416no—
623C2×D52—24no—
624C2×D52—24no—
625C2×D52—24no—
626C2×D52—42no—
627C2×D52—42no—
628C2×D52—42no—
629C2×D52C2414yes—
630C2×D52C2414yes—
631C2×D52C2414yes—
632C2×D52C2414yes—
633C2×D52C2414yes—
634C2×D52C2414yes—
635C2×C4×D13—24no—
636C2×C4×D13—24no—
637C2×C4×D13—24no—
638C2×C4×D13—24no—
639C2×C4×D13—24no—
640C2×C4×D13—42no—
641C2×C4×D13—42no—
642C2×C4×D13—42no—
643C2×C4×D13—42no—
644C2×C4×D13—42no—
645C2×C4×D13—42no—
646C2×C4×D13—42no—
647C2×C4×D13—42no—
648C2×C4×D13—42no—
649C2×C4×D13—42no—
650C2×C4×D13—42no—
651C2×C4×D13C2414yes—
652C2×C4×D13C2414yes—
653C2×C4×D13C2414yes—
654C2×C4×D13C2414yes—
655C2×C4×D13C2414yes—
656C2×C4×D13C2414yes—
657C2×C4×D13C2414yes—
658C2×C4×D13C2414yes—
659C2×C4×D13C2414yes—
660C2×C4×D13C2414yes—
661C2×C4×D13C2414yes—
662C2×C4×D13C2414yes—
663C2×C4×D13C2414yes—
664C2×C4×D13C2414yes—
665C2×C4×D13C2414yes—
666C2×C4×D13C2414yes—
667C2×Dic26—42no—
668C2×Dic26—42no—
669C2×Dic26—42no—
670C2×Dic26—42no—
671C2×Dic26—42no—
672C2×Dic26—42no—
673C2×Dic26C2414yes—
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×C4⋊C4C2414yes—
690C13×C4⋊C4C2414yes—
691C13×C4⋊C4C2414yes—
692C13×C4⋊C4C2414yes—
693C13×C22⋊C4C2414yes—
694C13×C22⋊C4C2414yes—
695C13×C22⋊C4C2414yes—
696C13×C22⋊C4C2414yes—
697C13×C22⋊C4C2414yes—
698C13×C22⋊C4C2414yes—
699C13×C22⋊C4C2414yes—
700C13×C22⋊C4C2414yes—
701C13×C22⋊C4C2414yes—
702C13×C22⋊C4C2414yes—
703C42×C13C2414yes—
704C42×C13C2414yes—
705C22⋊Dic13C2414yes—
706C22⋊Dic13C2414yes—
707C22⋊Dic13C2414yes—
708C22⋊Dic13C2414yes—
709C22⋊Dic13C2414yes—
710C22⋊Dic13C2414yes—
711C22⋊Dic13C2414yes—
712C22⋊Dic13C2414yes—
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—
728#6103C2414yes—
729#6103C2414yes—
730#6103C2414yes—
731#6103C2414yes—
732#6103C2414yes—
733C4⋊Dic13C2414yes—
734C4⋊Dic13C2414yes—
735C4⋊Dic13C2414yes—
736C4⋊Dic13C2414yes—
737C4⋊Dic13C2414yes—
738C4⋊Dic13C2414yes—
739C4⋊Dic13C2414yes—
740C4⋊Dic13C2414yes—
741C4⋊Dic13C2414yes—
742C4⋊Dic13C2414yes—
743C4⋊Dic13C2414yes—
744C4⋊Dic13C2414yes—
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—
772#6101C2414yes—
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×#547—131no—
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×#539D1311yescharacteristic, complemented
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×C13C2512yes—
823C23×C13C2512yes—
824C23×C13C2512yes—
825C23×C13C2511yescharacteristic
826C22×D13—22no—
827C22×D13—22no—
828C22×D13—22no—
829C22×D13—22no—
830C22×D13—22no—
831C22×D13—22no—
832C22×D13—22no—
833C22×D13—22no—
834C22×D13—22no—
835C22×D13—22no—
836C22×D13—22no—
837C22×D13H(5,𝔽2)14yes—
838C22×D13C2512yes—
839C22×D13C2512yes—
840C22×D13C2512yes—
841C22×D13C2512yes—
842Q8×C13—44no—
843D4×C13—44no—
844D4×C13—44no—
845D4×C13—44no—
846C2×C4×C13—22no—
847C2×C4×C13—22no—
848C2×C4×C13—22no—
849C2×C4×C13—22no—
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—22no—
857C2×C4×C13—22no—
858C2×C4×C13—44no—
859C2×C4×C13—44no—
860C2×C4×C13—44no—
861C2×C4×C13—44no—
862C2×C4×C13—44no—
863C2×C4×C13C2512yes—
864C2×C4×C13C2512yes—
865C2×C4×C13C2512yes—
866C2×C4×C13C2512yes—
867C2×C4×C13C2512yes—
868C2×C4×C13C2512yes—
869C2×C4×C13C2512yes—
870C2×C4×C13C2512yes—
871C2×C4×C13C2512yes—
872C2×C4×C13C2512yes—
873C2×C4×C13C2512yes—
874C2×C4×C13C2512yes—
875C22⋊D13—28no—
876C22⋊D13—28no—
877C22⋊D13—28no—
878C22⋊D13—28no—
879C22⋊D13—28no—
880C22⋊D13—44no—
881C22⋊D13—44no—
882C22⋊D13—44no—
883C22⋊D13—44no—
884C22⋊D13—44no—
885C22⋊D13—44no—
886C22⋊D13—44no—
887C2×Dic13—22no—
888C2×Dic13—22no—
889C2×Dic13—22no—
890C2×Dic13—22no—
891C2×Dic13—22no—
892C2×Dic13—22no—
893C2×Dic13—22no—
894C2×Dic13—22no—
895C2×Dic13—22no—
896C2×Dic13—22no—
897C2×Dic13—22no—
898C2×Dic13—28no—
899C2×Dic13—44no—
900C2×Dic13—44no—
901C2×Dic13—44no—
902C2×Dic132−1+414yes—
903C2×Dic13C2512yes—
904C2×Dic13C2512yes—
905C2×Dic13C2512yes—
906C2×Dic13C2512yes—
907C2×Dic13C2512yes—
908C2×Dic13C2512yes—
909C2×Dic13C2512yes—
910C2×Dic13C2512yes—
911C2×Dic13C2512yes—
912C2×Dic13C2512yes—
913C2×Dic13C2512yes—
914C2×Dic13C2512yes—
915D52—28no—
916D52—28no—
917D52—28no—
918D52—44no—
919D52—44no—
920D52—44no—
921C4×D13—28no—
922C4×D13—28no—
923C4×D13—28no—
924C4×D13—28no—
925C4×D13—28no—
926C4×D13—44no—
927C4×D13—44no—
928C4×D13—44no—
929C4×D13—44no—
930C4×D13—44no—
931C4×D13—44no—
932C4×D13—44no—
933C4×D13—44no—
934C4×D13—44no—
935C4×D13—44no—
936C4×D13—44no—
937Dic26—44no—
938Dic26—44no—
939Dic26—44no—
940Dic26—44no—
941Dic26—44no—
942Dic26—44no—
943C22×#41—131no—
944C22×#41—131no—
945C22×#41—131no—
946C22×#41—131no—
947C22×#41—131no—
948C22×#41—131no—
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#547—1316no—
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#539C2×D13116yescomplemented
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⋊Q8—131no—
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×#126C2×D1311yescharacteristic
996C2×#126C2×D1311yescharacteristic
997C2×#125—1316no—
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—131no—
1011C2×#125C2×D1311yescharacteristic
1012C2×#125C2×D1311yescharacteristic
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⋊Q8C2×D1311yescharacteristic
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×#121—131no—
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⋊C4—131no—
1127C22×C4⋊C4C2×D1311yescharacteristic
1128C22×C42—131no—
1129C22×C13—22no—
1130C22×C13—22no—
1131C22×C13—22no—
1132C22×C13—22no—
1133C22×C13—22no—
1134C22×C13—22no—
1135C22×C13—22no—
1136C22×C13—22no—
1137C22×C13—22no—
1138C22×C13—44no—
1139C22×C13—44no—
1140C22×C13—44no—
1141C22×C13C2×H(5,𝔽2)12yes—
1142C22×C13C2×2−1+412yes—
1143C22×C13#58512yes—
1144C22×C13C2611yescharacteristic
1145C2×D13—22no—
1146C2×D13—22no—
1147C2×D13—28no—
1148C2×D13—22no—
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—44no—
1158C2×D13—44no—
1159C2×D13—44no—
1160C2×D13C2×H(5,𝔽2)14yes—
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—
1172C4×C13—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—138no—
1186C2×#41—138no—
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×#41—524no—
1196C2×#41—524no—
1197C22×Q8—131no—
1198C22×Q8—131no—
1199C22×Q8—131no—
1200C22×Q8—131no—
1201C22×Q8—131no—
1202C22×Q8—131no—
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×D4—131no—
1220C22×D4—131no—
1221C22×D4—131no—
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×C4—131no—
1243C23×C4—131no—
1244C23×C4—131no—
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⋊Q8—138no—
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#126C22×D1318yes—
1267#126C22×D1318yes—
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#125C22×D1318yes—
1282#125C22×D1318yes—
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⋊Q8C22×D1318yes—
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#121—138no—
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—138no—
1417C2×C4⋊C4—138no—
1418C2×C4⋊C4—131no—
1419C2×C4⋊C4—131no—
1420C2×C4⋊C4—131no—
1421C2×C4⋊C4—131no—
1422C2×C4⋊C4—131no—
1423C2×C4⋊C4—131no—
1424C2×C4⋊C4—131no—
1425C2×C4⋊C4—131no—
1426C2×C4⋊C4—131no—
1427C2×C4⋊C4—131no—
1428C2×C4⋊C4—138no—
1429C2×C4⋊C4—138no—
1430C2×C4⋊C4—138no—
1431C2×C4⋊C4—138no—
1432C2×C4⋊C4—138no—
1433C2×C4⋊C4—138no—
1434C2×C4⋊C4—138no—
1435C2×C4⋊C4—138no—
1436C2×C4⋊C4—138no—
1437C2×C4⋊C4C22×D1311yescharacteristic
1438C2×C4⋊C4C22×D1311yescharacteristic
1439C2×C4⋊C4C22×D1311yescharacteristic
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×D1318yes—
1448C2×C4⋊C4C22×D1311yescharacteristic
1449C2×C4⋊C4C22×D1311yescharacteristic
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⋊C4C22×D1311yescharacteristic
1481C2×C22⋊C4C22×D1311yescharacteristic
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—138no—
1499C2×C42C22×D1311yescharacteristic
1500C2×C42C22×D1311yescharacteristic
1501C2×C13—42no—
1502C2×C13—42no—
1503C2×C13—42no—
1504C2×C13#355914yescomplemented
1505C2×C13C22×H(5,𝔽2)11yescharacteristic
1506C2×C13C22×2−1+411yescharacteristic
1507C2×C13C2×#58511yescharacteristic
1508D13—24no—
1509D13—42no—
1510D13—42no—
1511D13—42no—
1512C24—131no—
1513C24—131no—
1514C24—131no—
1515C24—131no—
1516C24C23×D1311yescharacteristic
1517C24C23×D1311yescharacteristic
1518C24C23×D1311yescharacteristic
1519#41—5216no—
1520#41—5216no—
1521#41—5216no—
1522#41—5216no—
1523#41—5216no—
1524#41—5216no—
1525C2×Q8—42no—
1526C2×Q8—134no—
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×Q8—522no—
1538C2×Q8C23×D1314yes—
1539C2×D4—42no—
1540C2×D4—42no—
1541C2×D4—42no—
1542C2×D4—134no—
1543C2×D4—134no—
1544C2×D4—134no—
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—264no—
1566C2×D4—264no—
1567C2×D4—264no—
1568C2×D4—522no—
1569C2×D4—522no—
1570C2×D4—522no—
1571C2×D4—522no—
1572C2×D4—522no—
1573C2×D4—522no—
1574C2×D4—522no—
1575C2×D4—522no—
1576C2×D4—522no—
1577C2×D4—522no—
1578C2×D4C23×D1314yes—
1579C2×D4C23×D1314yes—
1580C2×D4C23×D1314yes—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—131no—
1587C22×C4—134no—
1588C22×C4—131no—
1589C22×C4—131no—
1590C22×C4—131no—
1591C22×C4—131no—
1592C22×C4—131no—
1593C22×C4—131no—
1594C22×C4—131no—
1595C22×C4—131no—
1596C22×C4—131no—
1597C22×C4—131no—
1598C22×C4—131no—
1599C22×C4—134no—
1600C22×C4—134no—
1601C22×C4—134no—
1602C22×C4—134no—
1603C22×C4—134no—
1604C22×C4—134no—
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—264no—
1619C22×C4—264no—
1620C22×C4—264no—
1621C22×C4—264no—
1622C22×C4—264no—
1623C22×C4—264no—
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×C4—522no—
1637C22×C4—522no—
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×D1311yescharacteristic
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⋊C4C23×D1314yes—
1696C4⋊C4C23×D1314yes—
1697C4⋊C4C23×D1314yes—
1698C4⋊C4C23×D1314yes—
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⋊C4C23×D1314yes—
1738C22⋊C4C23×D1314yes—
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—
1755C42C23×D1314yes—
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—134no—
1768C23—132no—
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—262no—
1782C23—262no—
1783C23C24×D1312yes—
1784C23C24×D1312yes—
1785C23C24×D1312yes—
1786C23C24×D1311yescharacteristic
1787Q8—44no—
1788Q8—524no—
1789Q8—524no—
1790Q8—524no—
1791Q8—524no—
1792Q8—524no—
1793Q8—524no—
1794D4—44no—
1795D4—44no—
1796D4—44no—
1797D4—268no—
1798D4—268no—
1799D4—268no—
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—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—44no—
1830C2×C4—44no—
1831C2×C4—44no—
1832C2×C4—134no—
1833C2×C4—132no—
1834C2×C4—132no—
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—268no—
1846C2×C4—268no—
1847C2×C4—268no—
1848C2×C4—268no—
1849C2×C4—268no—
1850C2×C4—268no—
1851C2×C4—262no—
1852C2×C4—262no—
1853C2×C4—262no—
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—524no—
1863C2×C4—524no—
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×C4C24×D1312yes—
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—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—44no—
1898C22—44no—
1899C22—44no—
1900C22—134no—
1901C22—268no—
1902C22—262no—
1903C22—262no—
1904C22—262no—
1905C22—262no—
1906C22—262no—
1907C22—262no—
1908C22—262no—
1909C22—262no—
1910C22—262no—
1911C22—262no—
1912C22—262no—
1913C22—524no—
1914C22—524no—
1915C22—524no—
1916C22#1171964812yes—
1917C22D13×H(5,𝔽2)12yes—
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—22no—
1932C4—134no—
1933C4—262no—
1934C4—262no—
1935C4—262no—
1936C4—262no—
1937C4—262no—
1938C4—262no—
1939C4—262no—
1940C4—262no—
1941C4—262no—
1942C4—262no—
1943C4—262no—
1944C2—42no—
1945C2—42no—
1946C2—42no—
1947C2—264no—
1948C2—522no—
1949C2—522no—
1950C2—522no—
1951C2#1312936214yesdirect product factor
1952C2C2×D13×H(5,𝔽2)11yescharacteristic
1953C2C2×D13×2−1+411yescharacteristic
1954C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#539C2
socleC23×C13C25
hypercenterC2×#539D13
hypocenterC13C2×#3559
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #13129362C2direct (N × H)
2. C2×#11719417C2semidirect
3. C2×#11719351C2semidirect
4. C2×#11719372C2semidirect
5. C2×#11719372C2semidirect
6. C2×#11719216C2semidirect
7. C2×#11719341C2semidirect
8. C2×#11719414C2semidirect
9. C2×#11719245C2semidirect
10. C2×#11719366C2semidirect
11. C2×#11719366C2semidirect
12. C2×#11719256C2semidirect
13. C2×#11719336C2semidirect
14. C2×#11719336C2semidirect
15. C2×#11719212C2semidirect
16. C2×#11719360C2semidirect
17. C2×#11719360C2semidirect
18. C2×#11719394C2semidirect
19. C2×#11719328C2semidirect
20. C2×#11719368C2semidirect
21. C2×#11719320C2semidirect
22. C2×#11719397C2semidirect
23. C2×#11719397C2semidirect
24. C2×#11719365C2semidirect
25. C2×#11719269C2semidirect
26. C2×#11719412C2semidirect
27. C2×#11719334C2semidirect
28. C2×#11719313C2semidirect
29. C2×#11719253C2semidirect
30. C2×#11719411C2semidirect
31. C2×D13×#125C2semidirect
32. C2×C13×#539C2semidirect
39. C13×#539C22semidirect
85. #11719417C22semidirect
86. #11719414C22semidirect
87. #11719412C22semidirect
88. #11719411C22semidirect
89. #11719397C22semidirect
90. #11719397C22semidirect
91. #11719394C22semidirect
92. D13×#125C22semidirect
93. #11719372C22semidirect
94. #11719372C22semidirect
95. #11719368C22semidirect
96. #11719366C22semidirect
97. #11719366C22semidirect
98. #11719365C22semidirect
99. #11719360C22semidirect
100. #11719360C22semidirect
101. #11719351C22semidirect
102. #11719341C22semidirect
103. #11719336C22semidirect
104. #11719336C22semidirect
105. #11719334C22semidirect
106. #11719328C22semidirect
107. #11719320C22semidirect
108. #11719313C22semidirect
109. #11719269C22semidirect
110. #11719256C22semidirect
111. #11719253C22semidirect
112. #11719245C22semidirect
116. #11719216C22semidirect
129. #11719212C22semidirect
807. C2×#539D13semidirect
974. #539C2×D13semidirect
1504. C2×C13#3559semidirect
1757. C13C2×#3559semidirect
1951. C2#13129362direct (N × H)

Maximal subgroups

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

subgroupindex
#131293622
C2×#117194172
C2×#117193512
C2×#117193722
C2×#117192162
C2×#117193412
C2×#117194142
C2×#117192452
C2×#117193662
C2×#117192562
C2×#117193362
C2×#117192122
C2×#117193602
C2×#117193942
C2×#117193282
C2×#117193682
C2×#117193202
C2×#117193972
C2×#117193652
C2×#117192692
C2×#117194122
C2×#117193342
C2×#117193132
C2×#117192532
C2×#117194112
C2×D13×#1252
C2×C13×#5392
C2×#355913