Finite Group Databasebeta

← C2×#51898 #7707901

Subgroups — C2×#51898 #7707901

Order 512.

9434 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#562C211yesmaximal, characteristic, complemented
2C22×#537C211yesmaximal, characteristic, complemented
3C2×#2732C211yesmaximal, characteristic, complemented
4C2×#2730C211yesmaximal, characteristic, complemented
5C2×#2711C211yesmaximal, characteristic, complemented
6C2×#2692C211yesmaximal, characteristic, complemented
7C2×#2676C211yesmaximal, characteristic, complemented
8C2×#2676C211yesmaximal, characteristic, complemented
9C2×#2676C211yesmaximal, characteristic, complemented
10C2×#2675C211yesmaximal, characteristic, complemented
11C2×#2675C211yesmaximal, characteristic, complemented
12C2×#2673C211yesmaximal, characteristic, complemented
13C2×#2673C211yesmaximal, characteristic, complemented
14C2×#2671C211yesmaximal, characteristic, complemented
15#51898C2132yesmaximal, direct product factor
16C2×#2541C211yesmaximal, characteristic, complemented
17C2×#2540C211yesmaximal, characteristic, complemented
18C2×#2556C211yesmaximal, characteristic, complemented
19C2×#2555C211yesmaximal, characteristic, complemented
20C2×#2430C211yesmaximal, characteristic, complemented
21C2×#2431C211yesmaximal, characteristic, complemented
22C2×#2431C211yesmaximal, characteristic, complemented
23C2×#2407C211yesmaximal, characteristic, complemented
24C2×#2428C211yesmaximal, characteristic, complemented
25C2×#2428C211yesmaximal, characteristic, complemented
26C2×#2461C211yesmaximal, characteristic, complemented
27C2×#2464C211yesmaximal, characteristic, complemented
28C2×#2449C211yesmaximal, characteristic, complemented
29C2×#2443C211yesmaximal, characteristic, complemented
30C2×#2661C211yesmaximal, characteristic, complemented
31C2×#2656C211yesmaximal, characteristic, complemented
32C2×#2368C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C23×#41C2211yescharacteristic
35C2×#562—216no—
36C2×#562C22116yescomplemented
37C2×#537—216no—
38C2×#537C22116yescomplemented
39C22×#127C2211yescharacteristic
40C22×#127C2211yescharacteristic
41C22×#127C2211yescharacteristic
42C22×#125C2211yescharacteristic
43C22×#124C2211yescharacteristic
44C22×#124C2211yescharacteristic
45C22×#124C2211yescharacteristic
46C22×#124C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic
51C22×C22⋊Q8C2211yescharacteristic
52C22×C22⋊Q8C2211yescharacteristic
53C22×C22⋊Q8C2211yescharacteristic
54C22×C22⋊Q8C2211yescharacteristic
55C22×C22⋊Q8C2211yescharacteristic
56C22×C22⋊Q8C2211yescharacteristic
57C22×C22⋊Q8C2211yescharacteristic
58C22×C22⋊Q8C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic
65C22×#121C2211yescharacteristic
66C22×#121C2211yescharacteristic
67C22×#121C2211yescharacteristic
68C22×#121C2211yescharacteristic
69C22×#121C2211yescharacteristic
70C22×#121C2211yescharacteristic
71C22×#121C2211yescharacteristic
72C22×#121C2211yescharacteristic
73C22×#121C2211yescharacteristic
74C22×#121C2211yescharacteristic
75C22×#121C2211yescharacteristic
76C22×#121C2211yescharacteristic
77C22×#121C2211yescharacteristic
78C22×#121C2211yescharacteristic
79C22×#121C2211yescharacteristic
80C22×#121C2211yescharacteristic
81C22×#121C2211yescharacteristic
82C22×C4×D4C2211yescharacteristic
83C22×C4×D4C2211yescharacteristic
84C22×C4×D4C2211yescharacteristic
85C23×C4⋊C4C2211yescharacteristic
86#2732C22116yescomplemented
87#2730C22116yescomplemented
88#2711C22116yescomplemented
89#2692C22116yescomplemented
90#2676C22116yescomplemented
91#2676C22116yescomplemented
92#2676C22116yescomplemented
93#2675C22116yescomplemented
94#2675C22116yescomplemented
95#2673C22116yescomplemented
96#2673C22116yescomplemented
97#2671C22116yescomplemented
98#2661C22116yescomplemented
99#2656C22116yescomplemented
100#2556C22116yescomplemented
101#2555C22116yescomplemented
102#2541C22116yescomplemented
103#2540C22116yescomplemented
104#2464C22116yescomplemented
105#2461C22116yescomplemented
106#2449C22116yescomplemented
107#2443C22116yescomplemented
108#2431C22116yescomplemented
109#2431C22116yescomplemented
110#2430C22116yescomplemented
111#2428C22116yescomplemented
112#2428C22116yescomplemented
113#2407C22116yescomplemented
114C2×#399C2211yescharacteristic
115C2×#399C2211yescharacteristic
116C2×#399C2211yescharacteristic
117C2×#399C2211yescharacteristic
118C2×#399C2211yescharacteristic
119C2×#398C2211yescharacteristic
120C2×#398C2211yescharacteristic
121C2×#398C2211yescharacteristic
122C2×#397C2211yescharacteristic
123C2×#396C2211yescharacteristic
124C2×#396C2211yescharacteristic
125C2×#396C2211yescharacteristic
126C2×#396C2211yescharacteristic
127C2×#396C2211yescharacteristic
128C2×#395C2211yescharacteristic
129C2×#395C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic
137C2×#394C2211yescharacteristic
138C2×#394C2211yescharacteristic
139C2×#394C2211yescharacteristic
140C2×#394C2211yescharacteristic
141C2×#393C2211yescharacteristic
142C2×#393C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic
146C2×#392C2211yescharacteristic
147C2×#392C2211yescharacteristic
148C2×#392C2211yescharacteristic
149C2×#392C2211yescharacteristic
150C2×#392C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154C2×#392C2211yescharacteristic
155C2×#392C2211yescharacteristic
156C2×#392C2211yescharacteristic
157C2×#392C2211yescharacteristic
158C2×#392C2211yescharacteristic
159C2×#392C2211yescharacteristic
160C2×#392C2211yescharacteristic
161C2×#392C2211yescharacteristic
162#2368C22116yescomplemented
163C2×#391C2211yescharacteristic
164C2×#391C2211yescharacteristic
165C2×#391C2211yescharacteristic
166C2×#390C2211yescharacteristic
167C2×#390C2211yescharacteristic
168C2×#390C2211yescharacteristic
169C2×#390C2211yescharacteristic
170C2×#390C2211yescharacteristic
171C2×#390C2211yescharacteristic
172C2×#390C2211yescharacteristic
173C2×#390C2211yescharacteristic
174C2×#389C2211yescharacteristic
175C2×#389C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic
178C2×#388C2211yescharacteristic
179C2×#388C2211yescharacteristic
180C2×#388C2211yescharacteristic
181C2×#388C2211yescharacteristic
182C2×#387C2211yescharacteristic
183C2×#387C2211yescharacteristic
184C2×#387C2211yescharacteristic
185C2×#387C2211yescharacteristic
186C2×#387C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic
197C2×#386C2211yescharacteristic
198C2×#386C2211yescharacteristic
199C2×#386C2211yescharacteristic
200C2×#386C2211yescharacteristic
201C2×#386C2211yescharacteristic
202C2×#386C2211yescharacteristic
203C2×#385C2211yescharacteristic
204C2×#385C2211yescharacteristic
205C2×#385C2211yescharacteristic
206C2×#385C2211yescharacteristic
207C2×#385C2211yescharacteristic
208C2×#385C2211yescharacteristic
209C2×#385C2211yescharacteristic
210C2×#385C2211yescharacteristic
211C2×#385C2211yescharacteristic
212C2×#385C2211yescharacteristic
213C2×#380C2211yescharacteristic
214C2×C4×C4⋊C4C2211yescharacteristic
215C2×C4×C4⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic
219C2×C4×C22⋊C4C2211yescharacteristic
220C22×#95C2211yescharacteristic
221C22×#41—28no—
222C22×#41—28no—
223C22×#41—44no—
224C22×#41—44no—
225C22×#41—44no—
226C22×#41—44no—
227C22×#41C2318yes—
228C22×#41C2318yes—
229C23×Q8C2311yescharacteristic
230C23×Q8C2311yescharacteristic
231C23×Q8C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C23×D4C2311yescharacteristic
250C23×D4C2311yescharacteristic
251C23×D4C2311yescharacteristic
252C23×D4C2311yescharacteristic
253C23×D4C2311yescharacteristic
254C23×D4C2311yescharacteristic
255C23×D4C2311yescharacteristic
256C23×D4C2311yescharacteristic
257C23×D4C2311yescharacteristic
258C23×D4C2311yescharacteristic
259C23×D4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C24×C4C2311yescharacteristic
266C24×C4C2311yescharacteristic
267C24×C4C2311yescharacteristic
268C24×C4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272#562—2128no—
273#537—2128no—
274C2×#127—44no—
275C2×#127—44no—
276C2×#127—44no—
277C2×#127C2318yes—
278C2×#127C2318yes—
279C2×#127C2318yes—
280C2×#125—28no—
281C2×#125C2318yes—
282C2×#124—28no—
283C2×#124—28no—
284C2×#124—44no—
285C2×#124—44no—
286C2×#124C2318yes—
287C2×#124C2318yes—
288C2×#124C2318yes—
289C2×#124C2318yes—
290C2×#123—28no—
291C2×#123—28no—
292C2×#123—28no—
293C2×#123—28no—
294C2×#123C2318yes—
295C2×#123C2318yes—
296C2×#123C2318yes—
297C2×#123C2318yes—
298C2×C22⋊Q8—28no—
299C2×C22⋊Q8—28no—
300C2×C22⋊Q8—28no—
301C2×C22⋊Q8—28no—
302C2×C22⋊Q8—28no—
303C2×C22⋊Q8—28no—
304C2×C22⋊Q8—44no—
305C2×C22⋊Q8D4116yescomplemented
306C2×C22⋊Q8C2318yes—
307C2×C22⋊Q8C2318yes—
308C2×C22⋊Q8C2318yes—
309C2×C22⋊Q8C2318yes—
310C2×C22⋊Q8C2318yes—
311C2×C22⋊Q8C2318yes—
312C2×C22⋊Q8C2318yes—
313C2×C22⋊Q8C2318yes—
314C2×#121—28no—
315C2×#121—28no—
316C2×#121—28no—
317C2×#121—28no—
318C2×#121—28no—
319C2×#121—28no—
320C2×#121—28no—
321C2×#121—28no—
322C2×#121—28no—
323C2×#121—28no—
324C2×#121—28no—
325C2×#121—28no—
326C2×#121—44no—
327C2×#121—44no—
328C2×#121—44no—
329C2×#121—44no—
330C2×#121—44no—
331C2×#121—44no—
332C2×#121—44no—
333C2×#121—44no—
334C2×#121—44no—
335C2×#121—44no—
336C2×#121—44no—
337C2×#121C2318yes—
338C2×#121C2318yes—
339C2×#121C2318yes—
340C2×#121C2318yes—
341C2×#121C2318yes—
342C2×#121C2318yes—
343C2×#121C2318yes—
344C2×#121C2318yes—
345C2×#121C2318yes—
346C2×#121C2318yes—
347C2×#121C2318yes—
348C2×#121C2318yes—
349C2×#121C2318yes—
350C2×#121C2318yes—
351C2×#121C2318yes—
352C2×#121C2318yes—
353C2×#121C2318yes—
354C2×#121C2318yes—
355C2×#121C2318yes—
356C2×#121C2318yes—
357C2×#121C2318yes—
358C2×#121C2318yes—
359C2×#121C2318yes—
360C2×C4×D4—44no—
361C2×C4×D4—44no—
362C2×C4×D4—44no—
363C2×C4×D4C2318yes—
364C2×C4×D4C2318yes—
365C2×C4×D4C2318yes—
366C22×C4⋊C4—28no—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2318yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2311yescharacteristic
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2311yescharacteristic
406C22×C22⋊C4C2311yescharacteristic
407C22×C22⋊C4C2311yescharacteristic
408C22×C22⋊C4C2311yescharacteristic
409C22×C22⋊C4C2311yescharacteristic
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2311yescharacteristic
415C22×C22⋊C4C2311yescharacteristic
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2311yescharacteristic
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2311yescharacteristic
422C22×C22⋊C4C2311yescharacteristic
423C22×C22⋊C4C2311yescharacteristic
424C22×C22⋊C4C2311yescharacteristic
425C22×C22⋊C4C2311yescharacteristic
426C22×C22⋊C4C2311yescharacteristic
427C22×C22⋊C4C2311yescharacteristic
428C22×C22⋊C4C2311yescharacteristic
429C22×C22⋊C4C2311yescharacteristic
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2311yescharacteristic
432C22×C22⋊C4C2311yescharacteristic
433C22×C22⋊C4C2311yescharacteristic
434C22×C22⋊C4C2311yescharacteristic
435C22×C22⋊C4C2311yescharacteristic
436C22×C22⋊C4C2311yescharacteristic
437C22×C22⋊C4C2311yescharacteristic
438C22×C22⋊C4C2311yescharacteristic
439C22×C22⋊C4C2311yescharacteristic
440C22×C22⋊C4C2311yescharacteristic
441C22×C22⋊C4C2311yescharacteristic
442C22×C22⋊C4C2311yescharacteristic
443C22×C22⋊C4C2311yescharacteristic
444C22×C22⋊C4C2311yescharacteristic
445C22×C22⋊C4C2311yescharacteristic
446C22×C22⋊C4C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2311yescharacteristic
454#399C2318yes—
455#399C2318yes—
456#399C2318yes—
457#399C2318yes—
458#399C2318yes—
459#398C2318yes—
460#398C2318yes—
461#398C2318yes—
462#397C2318yes—
463#396C2318yes—
464#396C2318yes—
465#396C2318yes—
466#396C2318yes—
467#396C2318yes—
468#395C2318yes—
469#395C2318yes—
470#394C2318yes—
471#394C2318yes—
472#394C2318yes—
473#394C2318yes—
474#394C2318yes—
475#394C2318yes—
476#394C2318yes—
477#394C2318yes—
478#394C2318yes—
479#394C2318yes—
480#394C2318yes—
481#393C2318yes—
482#393C2318yes—
483#392C2318yes—
484#392C2318yes—
485#392C2318yes—
486#392C2318yes—
487#392C2318yes—
488#392C2318yes—
489#392C2318yes—
490#392C2318yes—
491#392C2318yes—
492#392C2318yes—
493#392C2318yes—
494#392C2318yes—
495#392C2318yes—
496#392C2318yes—
497#392C2318yes—
498#392C2318yes—
499#392C2318yes—
500#392C2318yes—
501#392C2318yes—
502#391C2318yes—
503#391C2318yes—
504#391C2318yes—
505#390C2318yes—
506#390C2318yes—
507#390C2318yes—
508#390C2318yes—
509#390C2318yes—
510#390C2318yes—
511#390C2318yes—
512#390C2318yes—
513#389C2318yes—
514#389C2318yes—
515#388C2318yes—
516#388C2318yes—
517#388C2318yes—
518#388C2318yes—
519#388C2318yes—
520#388C2318yes—
521#387C2318yes—
522#387C2318yes—
523#387C2318yes—
524#387C2318yes—
525#387C2318yes—
526#386C2318yes—
527#386C2318yes—
528#386C2318yes—
529#386C2318yes—
530#386C2318yes—
531#386C2318yes—
532#386C2318yes—
533#386C2318yes—
534#386C2318yes—
535#386C2318yes—
536#386C2318yes—
537#386C2318yes—
538#386C2318yes—
539#386C2318yes—
540#386C2318yes—
541#386C2318yes—
542#385C2318yes—
543#385C2318yes—
544#385C2318yes—
545#385C2318yes—
546#385C2318yes—
547#385C2318yes—
548#385C2318yes—
549#385C2318yes—
550#385C2318yes—
551#385C2318yes—
552#380C2318yes—
553C4×C4⋊C4C2318yes—
554C4×C4⋊C4C2318yes—
555C4×C22⋊C4C2318yes—
556C4×C22⋊C4C2318yes—
557C4×C22⋊C4C2318yes—
558C4×C22⋊C4C2318yes—
559C2×#95C2318yes—
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2311yescharacteristic
577C2×#95C2311yescharacteristic
578C2×#95C2311yescharacteristic
579C2×#95C2311yescharacteristic
580C2×#95C2311yescharacteristic
581C2×#95C2311yescharacteristic
582C2×#95C2311yescharacteristic
583C2×#95C2311yescharacteristic
584C2×#95C2311yescharacteristic
585C2×#95C2311yescharacteristic
586C25C2411yescharacteristic
587C25C2411yescharacteristic
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2411yescharacteristic
591C25C2411yescharacteristic
592C25C2411yescharacteristic
593C25C2411yescharacteristic
594C2×#41—232no—
595C2×#41—232no—
596C2×#41—416no—
597C2×#41—416no—
598C2×#41—416no—
599C2×#41—416no—
600C2×#41—464no—
601C2×#41—464no—
602C22×Q8—24no—
603C22×Q8—24no—
604C22×Q8—24no—
605C22×Q8—42no—
606C22×Q8—42no—
607C22×Q8—42no—
608C22×Q8—42no—
609C22×Q8—42no—
610C22×Q8C2×D418yes—
611C22×Q8C2414yes—
612C22×Q8C2414yes—
613C22×Q8C2414yes—
614C22×D4—24no—
615C22×D4—24no—
616C22×D4—24no—
617C22×D4—24no—
618C22×D4—24no—
619C22×D4—24no—
620C22×D4—24no—
621C22×D4—24no—
622C22×D4—24no—
623C22×D4—24no—
624C22×D4—24no—
625C22×D4—24no—
626C22×D4—24no—
627C22×D4—24no—
628C22×D4—24no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—24no—
633C22×D4—24no—
634C22×D4—24no—
635C22×D4—24no—
636C22×D4—24no—
637C22×D4—24no—
638C22×D4—24no—
639C22×D4—24no—
640C22×D4—24no—
641C22×D4—24no—
642C22×D4—24no—
643C22×D4—24no—
644C22×D4—24no—
645C22×D4—42no—
646C22×D4—42no—
647C22×D4—42no—
648C22×D4—42no—
649C22×D4—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—42no—
658C22×D4—42no—
659C22×D4—42no—
660C22×D4—42no—
661C22×D4—42no—
662C22×D4—42no—
663C22×D4—42no—
664C22×D4—42no—
665C22×D4—42no—
666C22×D4—42no—
667C22×D4—42no—
668C22×D4—42no—
669C22×D4—42no—
670C22×D4—42no—
671C22×D4—42no—
672C22×D4—42no—
673C22×D4—42no—
674C22×D4—42no—
675C22×D4—42no—
676C22×D4—42no—
677C22×D4—42no—
678C22×D4—42no—
679C22×D4—42no—
680C22×D4—42no—
681C22×D4—42no—
682C22×D4—42no—
683C22×D4—42no—
684C22×D4—42no—
685C22×D4—42no—
686C22×D4—42no—
687C22×D4—42no—
688C22×D4—42no—
689C22×D4—42no—
690C22×D4—42no—
691C22×D4—42no—
692C22×D4—42no—
693C22×D4—42no—
694C22×D4—42no—
695C22×D4—42no—
696C22×D4—42no—
697C22×D4—42no—
698C22×D4C2414yes—
699C22×D4C2414yes—
700C22×D4C2414yes—
701C22×D4C2414yes—
702C22×D4C2414yes—
703C22×D4C2414yes—
704C22×D4C2414yes—
705C22×D4C2414yes—
706C22×D4C2414yes—
707C22×D4C2414yes—
708C22×D4C2414yes—
709C22×D4C2414yes—
710C22×D4C2414yes—
711C22×D4C2414yes—
712C22×D4C2414yes—
713C22×D4C2414yes—
714C22×D4C2414yes—
715C22×D4C2414yes—
716C22×D4C2414yes—
717C22×D4C2414yes—
718C22×D4C2414yes—
719C22×D4C2414yes—
720C22×D4C2414yes—
721C22×D4C2414yes—
722C22×D4C2414yes—
723C22×D4C2414yes—
724C22×D4C2414yes—
725C22×D4C2414yes—
726C23×C4—24no—
727C23×C4—24no—
728C23×C4—24no—
729C23×C4—24no—
730C23×C4—24no—
731C23×C4—24no—
732C23×C4—24no—
733C23×C4—24no—
734C23×C4—24no—
735C23×C4—24no—
736C23×C4—24no—
737C23×C4—24no—
738C23×C4—24no—
739C23×C4—24no—
740C23×C4—24no—
741C23×C4—42no—
742C23×C4—42no—
743C23×C4—42no—
744C23×C4—42no—
745C23×C4—42no—
746C23×C4—42no—
747C23×C4—42no—
748C23×C4—42no—
749C23×C4—42no—
750C23×C4—42no—
751C23×C4—42no—
752C23×C4—42no—
753C23×C4—42no—
754C23×C4—42no—
755C23×C4—42no—
756C23×C4—42no—
757C23×C4—42no—
758C23×C4—42no—
759C23×C4—42no—
760C23×C4—42no—
761C23×C4C2×D418yes—
762C23×C4C2414yes—
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2414yes—
797#127—416no—
798#127—416no—
799#127—416no—
800#125—232no—
801#124—232no—
802#124—232no—
803#124—416no—
804#124—416no—
805#123—232no—
806#123—232no—
807#123—232no—
808#123—232no—
809C22⋊Q8—232no—
810C22⋊Q8—232no—
811C22⋊Q8—232no—
812C22⋊Q8—232no—
813C22⋊Q8—232no—
814C22⋊Q8—232no—
815C22⋊Q8—416no—
816C22⋊Q8C2×D4164yescomplemented
817#121—232no—
818#121—232no—
819#121—232no—
820#121—232no—
821#121—232no—
822#121—232no—
823#121—232no—
824#121—232no—
825#121—232no—
826#121—232no—
827#121—232no—
828#121—232no—
829#121—416no—
830#121—416no—
831#121—416no—
832#121—416no—
833#121—416no—
834#121—416no—
835#121—416no—
836#121—416no—
837#121—416no—
838#121—416no—
839#121—416no—
840C4×D4—416no—
841C4×D4—416no—
842C4×D4—416no—
843C2×C4⋊C4—24no—
844C2×C4⋊C4—24no—
845C2×C4⋊C4—24no—
846C2×C4⋊C4—24no—
847C2×C4⋊C4—24no—
848C2×C4⋊C4—24no—
849C2×C4⋊C4—24no—
850C2×C4⋊C4—24no—
851C2×C4⋊C4—24no—
852C2×C4⋊C4—24no—
853C2×C4⋊C4—24no—
854C2×C4⋊C4—24no—
855C2×C4⋊C4—24no—
856C2×C4⋊C4—24no—
857C2×C4⋊C4—24no—
858C2×C4⋊C4—24no—
859C2×C4⋊C4—24no—
860C2×C4⋊C4—232no—
861C2×C4⋊C4—42no—
862C2×C4⋊C4—42no—
863C2×C4⋊C4—42no—
864C2×C4⋊C4—42no—
865C2×C4⋊C4—42no—
866C2×C4⋊C4—42no—
867C2×C4⋊C4—42no—
868C2×C4⋊C4C2×D418yes—
869C2×C4⋊C4C2×D418yes—
870C2×C4⋊C4C2×D418yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C22⋊C4—24no—
899C2×C22⋊C4—24no—
900C2×C22⋊C4—24no—
901C2×C22⋊C4—24no—
902C2×C22⋊C4—24no—
903C2×C22⋊C4—24no—
904C2×C22⋊C4—24no—
905C2×C22⋊C4—24no—
906C2×C22⋊C4—24no—
907C2×C22⋊C4—24no—
908C2×C22⋊C4—24no—
909C2×C22⋊C4—24no—
910C2×C22⋊C4—24no—
911C2×C22⋊C4—24no—
912C2×C22⋊C4—24no—
913C2×C22⋊C4—24no—
914C2×C22⋊C4—24no—
915C2×C22⋊C4—24no—
916C2×C22⋊C4—24no—
917C2×C22⋊C4—24no—
918C2×C22⋊C4—24no—
919C2×C22⋊C4—24no—
920C2×C22⋊C4—24no—
921C2×C22⋊C4—24no—
922C2×C22⋊C4—24no—
923C2×C22⋊C4—24no—
924C2×C22⋊C4—24no—
925C2×C22⋊C4—24no—
926C2×C22⋊C4—42no—
927C2×C22⋊C4—42no—
928C2×C22⋊C4—42no—
929C2×C22⋊C4—42no—
930C2×C22⋊C4—42no—
931C2×C22⋊C4—42no—
932C2×C22⋊C4—42no—
933C2×C22⋊C4—42no—
934C2×C22⋊C4—42no—
935C2×C22⋊C4—42no—
936C2×C22⋊C4—42no—
937C2×C22⋊C4—42no—
938C2×C22⋊C4—42no—
939C2×C22⋊C4—42no—
940C2×C22⋊C4—42no—
941C2×C22⋊C4—42no—
942C2×C22⋊C4—42no—
943C2×C22⋊C4—42no—
944C2×C22⋊C4—42no—
945C2×C22⋊C4—42no—
946C2×C22⋊C4—42no—
947C2×C22⋊C4—42no—
948C2×C22⋊C4C2×D418yes—
949C2×C22⋊C4C2×D418yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C42—24no—
1003C2×C42—24no—
1004C2×C42—24no—
1005C2×C42—42no—
1006C2×C42—42no—
1007C2×C42—42no—
1008C2×C42—42no—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—22no—
1052C24—22no—
1053C24—22no—
1054C24—22no—
1055C24—22no—
1056C24—22no—
1057C24—22no—
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—22no—
1065C24—22no—
1066C24—22no—
1067C24—22no—
1068C24—22no—
1069C24—22no—
1070C24—22no—
1071C24—22no—
1072C24—22no—
1073C24—22no—
1074C24—22no—
1075C24—22no—
1076C24—22no—
1077C24—22no—
1078C24—22no—
1079C24—22no—
1080C24—22no—
1081C24—22no—
1082C24—22no—
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—22no—
1087C24—22no—
1088C24—22no—
1089C24—22no—
1090C24—22no—
1091C24—22no—
1092C24—22no—
1093C24—22no—
1094C24—22no—
1095C24—22no—
1096C24C22×D414yes—
1097C24H(5,𝔽2)14yes—
1098C24C2512yes—
1099C24C2512yes—
1100C24C2512yes—
1101C24C2512yes—
1102C24C2512yes—
1103C24C2512yes—
1104C24C2512yes—
1105C24C2512yes—
1106C24C2511yescharacteristic
1107#41—4128no—
1108#41—4128no—
1109C2×Q8—28no—
1110C2×Q8—28no—
1111C2×Q8—28no—
1112C2×Q8—416no—
1113C2×Q8—44no—
1114C2×Q8—44no—
1115C2×Q8—44no—
1116C2×Q8—44no—
1117C2×Q8—44no—
1118C2×Q8—416no—
1119C2×Q8—88no—
1120C2×Q8C22×D4116yes—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—28no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—416no—
1164C2×D4—416no—
1165C2×D4—416no—
1166C2×D4—416no—
1167C2×D4—416no—
1168C2×D4—416no—
1169C2×D4—416no—
1170C2×D4—416no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—416no—
1214C2×D4—88no—
1215C2×D4—88no—
1216C2×D4—88no—
1217C2×D4—88no—
1218C2×D4—88no—
1219C2×D4—88no—
1220C2×D4—88no—
1221C2×D4—88no—
1222C2×D4—88no—
1223C2×D4—88no—
1224C2×D4—88no—
1225C2×D4—88no—
1226C2×D4—88no—
1227C2×D4—88no—
1228C2×D4—88no—
1229C2×D4—88no—
1230C2×D4—88no—
1231C2×D4—88no—
1232C2×D4—88no—
1233C22×C4—232no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—28no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—28no—
1256C22×C4—28no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—28no—
1297C22×C4—28no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—28no—
1301C22×C4—28no—
1302C22×C4—28no—
1303C22×C4—28no—
1304C22×C4—28no—
1305C22×C4—28no—
1306C22×C4—28no—
1307C22×C4—28no—
1308C22×C4—416no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—416no—
1316C22×C4—416no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—416no—
1332C22×C4—88no—
1333C22×C4—88no—
1334C22×C4—88no—
1335C22×C4—88no—
1336C22×C4—88no—
1337C22×C4—88no—
1338C22×C4—88no—
1339C22×C4C22×D414yes—
1340C22×C4C22×D414yes—
1341C22×C4C22×D414yes—
1342C22×C4C22×D414yes—
1343C22×C4C22×D414yes—
1344C22×C4C22×D414yes—
1345C22×C4C22×D4116yes—
1346C22×C4H(5,𝔽2)14yes—
1347C22×C4H(5,𝔽2)14yes—
1348C22×C4H(5,𝔽2)14yes—
1349C22×C42−1+414yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—28no—
1379C4⋊C4—28no—
1380C4⋊C4—28no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—28no—
1384C4⋊C4—28no—
1385C4⋊C4—28no—
1386C4⋊C4—28no—
1387C4⋊C4—28no—
1388C4⋊C4—28no—
1389C4⋊C4—28no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4C22×D4116yes—
1398C4⋊C4C22×D4116yes—
1399C4⋊C4C22×D4116yes—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4C22×D4116yes—
1451C22⋊C4C22×D4116yes—
1452C42—28no—
1453C42—28no—
1454C42—28no—
1455C42—44no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—28no—
1472C23—28no—
1473C23—28no—
1474C23—28no—
1475C23—28no—
1476C23—28no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—44no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—44no—
1562C23—44no—
1563C23—44no—
1564C23—44no—
1565C23—44no—
1566C23—44no—
1567C23—44no—
1568C23—44no—
1569C23C23×D414yes—
1570C23C23×D412yes—
1571C23C2×H(5,𝔽2)14yes—
1572C23C2×H(5,𝔽2)12yes—
1573C23C2×H(5,𝔽2)12yes—
1574C23C2×H(5,𝔽2)12yes—
1575C23C2×H(5,𝔽2)12yes—
1576C23C2×2−1+412yes—
1577C23#58512yes—
1578C23C2611yescharacteristic
1579Q8—416no—
1580Q8—416no—
1581Q8—88no—
1582D4—416no—
1583D4—416no—
1584D4—416no—
1585D4—416no—
1586D4—416no—
1587D4—416no—
1588D4—416no—
1589D4—416no—
1590D4—416no—
1591D4—88no—
1592D4—88no—
1593D4—88no—
1594D4—88no—
1595D4—88no—
1596D4—88no—
1597D4—88no—
1598D4—88no—
1599D4—88no—
1600D4—88no—
1601D4—88no—
1602D4—88no—
1603D4—88no—
1604D4—88no—
1605D4—88no—
1606D4—88no—
1607D4—88no—
1608D4—88no—
1609D4—88no—
1610C2×C4—232no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—28no—
1632C2×C4—28no—
1633C2×C4—28no—
1634C2×C4—28no—
1635C2×C4—28no—
1636C2×C4—28no—
1637C2×C4—28no—
1638C2×C4—28no—
1639C2×C4—28no—
1640C2×C4—28no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—416no—
1681C2×C4—416no—
1682C2×C4—416no—
1683C2×C4—416no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—88no—
1698C2×C4—88no—
1699C2×C4—88no—
1700C2×C4—88no—
1701C2×C4—88no—
1702C2×C4—88no—
1703C2×C4—88no—
1704C2×C4C23×D414yes—
1705C2×C4C23×D414yes—
1706C2×C4C23×D414yes—
1707C2×C4C23×D414yes—
1708C2×C4C23×D414yes—
1709C2×C4C23×D414yes—
1710C2×C4C2×H(5,𝔽2)14yes—
1711C2×C4C2×H(5,𝔽2)14yes—
1712C2×C4C2×H(5,𝔽2)14yes—
1713C2×C4C2×2−1+414yes—
1714C22—24no—
1715C22—24no—
1716C22—24no—
1717C22—24no—
1718C22—24no—
1719C22—24no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—416no—
1727C22—416no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—88no—
1773C22—88no—
1774C22—88no—
1775C22—88no—
1776C22—88no—
1777C22—88no—
1778C22#348414yes—
1779C22#349714yes—
1780C22#349814yes—
1781C22#353414yes—
1782C22#353614yes—
1783C22#354214yes—
1784C22#354814yes—
1785C22C24×D411yescharacteristic
1786C22C22×H(5,𝔽2)11yescharacteristic
1787C22C22×H(5,𝔽2)11yescharacteristic
1788C22C22×H(5,𝔽2)11yescharacteristic
1789C22C22×H(5,𝔽2)11yescharacteristic
1790C22C22×2−1+411yescharacteristic
1791C22C2×#58511yescharacteristic
1792C4—24no—
1793C4—24no—
1794C4—24no—
1795C4—24no—
1796C4—24no—
1797C4—24no—
1798C4—24no—
1799C4—24no—
1800C4—24no—
1801C4—24no—
1802C4—42no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C2—44no—
1816C2—44no—
1817C2—82no—
1818C2—82no—
1819C2—82no—
1820C2—82no—
1821C2—82no—
1822C2—82no—
1823C2#5189818yesdirect product factor
1824C2C2×#354211yescharacteristic
1825C2C2×#353411yescharacteristic
1826C2C2×#353611yescharacteristic
1827C2C2×#354811yescharacteristic
1828C2C2×#348411yescharacteristic
1829C2C2×#349711yescharacteristic
1830C2C2×#349811yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#562C2semidirect
2. C22×#537C2semidirect
3. C2×#2732C2semidirect
4. C2×#2730C2semidirect
5. C2×#2711C2semidirect
6. C2×#2692C2semidirect
7. C2×#2676C2semidirect
8. C2×#2676C2semidirect
9. C2×#2676C2semidirect
10. C2×#2675C2semidirect
11. C2×#2675C2semidirect
12. C2×#2673C2semidirect
13. C2×#2673C2semidirect
14. C2×#2671C2semidirect
15. #51898C2direct (N × H)
16. C2×#2541C2semidirect
17. C2×#2540C2semidirect
18. C2×#2556C2semidirect
19. C2×#2555C2semidirect
20. C2×#2430C2semidirect
21. C2×#2431C2semidirect
22. C2×#2431C2semidirect
23. C2×#2407C2semidirect
24. C2×#2428C2semidirect
25. C2×#2428C2semidirect
26. C2×#2461C2semidirect
27. C2×#2464C2semidirect
28. C2×#2449C2semidirect
29. C2×#2443C2semidirect
30. C2×#2661C2semidirect
31. C2×#2656C2semidirect
32. C2×#2368C2semidirect
36. C2×#562C22semidirect
38. C2×#537C22semidirect
86. #2732C22semidirect
87. #2730C22semidirect
88. #2711C22semidirect
89. #2692C22semidirect
90. #2676C22semidirect
91. #2676C22semidirect
92. #2676C22semidirect
93. #2675C22semidirect
94. #2675C22semidirect
95. #2673C22semidirect
96. #2673C22semidirect
97. #2671C22semidirect
98. #2661C22semidirect
99. #2656C22semidirect
100. #2556C22semidirect
101. #2555C22semidirect
102. #2541C22semidirect
103. #2540C22semidirect
104. #2464C22semidirect
105. #2461C22semidirect
106. #2449C22semidirect
107. #2443C22semidirect
108. #2431C22semidirect
109. #2431C22semidirect
110. #2430C22semidirect
111. #2428C22semidirect
112. #2428C22semidirect
113. #2407C22semidirect
162. #2368C22semidirect
305. C2×C22⋊Q8D4semidirect
816. C22⋊Q8C2×D4semidirect
1823. C2#51898direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5622
C22×#5372
C2×#27322
C2×#27302
C2×#27112
C2×#26922
C2×#26762
C2×#26752
C2×#26732
C2×#26712
#518982
C2×#25412
C2×#25402
C2×#25562
C2×#25552
C2×#24302
C2×#24312
C2×#24072
C2×#24282
C2×#24612
C2×#24642
C2×#24492
C2×#24432
C2×#26612
C2×#26562
C2×#23682