Finite Group Databasebeta

← C2×#38500 #7635751

Subgroups — C2×#38500 #7635751

Order 512.

8610 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2804C211yesmaximal, characteristic, complemented
2C2×#2778C211yesmaximal, characteristic, complemented
3C2×#2760C211yesmaximal, characteristic, complemented
4C2×#2751C211yesmaximal, characteristic, complemented
5C2×#2749C211yesmaximal, characteristic, complemented
6C2×#2708C211yesmaximal, characteristic, complemented
7C2×#2703C211yesmaximal, characteristic, complemented
8C2×#2688C211yesmaximal, characteristic, complemented
9#38500C2132yesmaximal, direct product factor
10C2×#2849C211yesmaximal, characteristic, complemented
11C2×#2572C211yesmaximal, characteristic, complemented
12C2×#2561C211yesmaximal, characteristic, complemented
13C2×#2557C211yesmaximal, characteristic, complemented
14C2×#2510C211yesmaximal, characteristic, complemented
15C2×#2493C211yesmaximal, characteristic, complemented
16C2×#2483C211yesmaximal, characteristic, complemented
17C2×#2404C211yesmaximal, characteristic, complemented
18C2×#2404C211yesmaximal, characteristic, complemented
19C2×#2408C211yesmaximal, characteristic, complemented
20C2×#2450C211yesmaximal, characteristic, complemented
21C2×#2444C211yesmaximal, characteristic, complemented
22C2×#2472C211yesmaximal, characteristic, complemented
23C2×#2456C211yesmaximal, characteristic, complemented
24C2×#2410C211yesmaximal, characteristic, complemented
25C2×#2631C211yesmaximal, characteristic, complemented
26C2×#2653C211yesmaximal, characteristic, complemented
27C2×#2358C211yesmaximal, characteristic, complemented
28C2×#2339C211yesmaximal, characteristic, complemented
29C2×#2333C211yesmaximal, characteristic, complemented
30C2×#2325C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic, complemented
32C22×#386C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C25×C4C2211yescharacteristic
36C22×#124C2211yescharacteristic, complemented
37C22×#123C2211yescharacteristic, complemented
38C22×#123C2211yescharacteristic, complemented
39C22×C22⋊Q8C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#120C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic, complemented
51C22×C4×D4C2211yescharacteristic, complemented
52C22×C4×D4C2211yescharacteristic, complemented
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57#2849C22116yescomplemented
58#2804C22116yescomplemented
59#2778C22116yescomplemented
60#2760C22116yescomplemented
61#2751C22116yescomplemented
62#2749C22116yescomplemented
63#2708C22116yescomplemented
64#2703C22116yescomplemented
65#2688C22116yescomplemented
66#2653C22116yescomplemented
67#2631C22116yescomplemented
68#2572C22116yescomplemented
69#2561C22116yescomplemented
70#2557C22116yescomplemented
71#2510C22116yescomplemented
72#2493C22116yescomplemented
73#2483C22116yescomplemented
74#2472C22116yescomplemented
75#2456C22116yescomplemented
76#2450C22116yescomplemented
77#2444C22116yescomplemented
78#2410C22116yescomplemented
79#2408C22116yescomplemented
80#2404C22116yescomplemented
81#2404C22116yescomplemented
82C2×#401C2211yescharacteristic, complemented
83C2×#401C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#400C2211yescharacteristic, complemented
89C2×#398C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic, complemented
91C2×#397C2211yescharacteristic, complemented
92C2×#397C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic, complemented
99C2×#396C2211yescharacteristic, complemented
100C2×#394C2211yescharacteristic
101C2×#394C2211yescharacteristic
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic, complemented
105C2×#394C2211yescharacteristic, complemented
106C2×#393C2211yescharacteristic, complemented
107C2×#393C2211yescharacteristic, complemented
108C2×#393C2211yescharacteristic, complemented
109C2×#393C2211yescharacteristic, complemented
110C2×#393C2211yescharacteristic, complemented
111C2×#393C2211yescharacteristic, complemented
112C2×#393C2211yescharacteristic, complemented
113C2×#393C2211yescharacteristic, complemented
114C2×#392C2211yescharacteristic
115C2×#392C2211yescharacteristic
116C2×#392C2211yescharacteristic
117C2×#392C2211yescharacteristic
118C2×#392C2211yescharacteristic, complemented
119C2×#392C2211yescharacteristic, complemented
120C2×#392C2211yescharacteristic, complemented
121C2×#392C2211yescharacteristic, complemented
122#2358C22116yescomplemented
123#2339C22116yescomplemented
124#2333C22116yescomplemented
125#2325C22116yescomplemented
126C4×#120C22116yescomplemented
127C2×#391C2211yescharacteristic, complemented
128C2×#391C2211yescharacteristic, complemented
129C2×#391C2211yescharacteristic, complemented
130C2×#390C2211yescharacteristic
131C2×#390C2211yescharacteristic
132C2×#390C2211yescharacteristic, complemented
133C2×#390C2211yescharacteristic, complemented
134C2×#388C2211yescharacteristic, complemented
135C2×#388C2211yescharacteristic, complemented
136C2×#388C2211yescharacteristic, complemented
137C2×#388C2211yescharacteristic, complemented
138C2×#388C2211yescharacteristic, complemented
139C2×#388C2211yescharacteristic, complemented
140C2×#388C2211yescharacteristic, complemented
141C2×#388C2211yescharacteristic, complemented
142C2×#388C2211yescharacteristic, complemented
143C2×#388C2211yescharacteristic, complemented
144C2×#387C2211yescharacteristic, complemented
145C2×#387C2211yescharacteristic, complemented
146C2×#387C2211yescharacteristic, complemented
147C2×#387C2211yescharacteristic, complemented
148C2×#387C2211yescharacteristic, complemented
149C2×#386C2211yescharacteristic
150C2×#386C2211yescharacteristic
151C2×#386C2211yescharacteristic
152C2×#386C2211yescharacteristic
153C2×#386C2211yescharacteristic
154C2×#386C2211yescharacteristic
155C2×#386C2211yescharacteristic
156C2×#386C2211yescharacteristic
157C2×#386C2211yescharacteristic
158C2×#386C2211yescharacteristic
159C2×#386C2211yescharacteristic
160C2×#386C2211yescharacteristic
161C2×#386C2211yescharacteristic
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#386C2211yescharacteristic
165C2×#386C22116yescomplemented
166C2×#386C2211yescharacteristic, complemented
167C2×#386C2211yescharacteristic, complemented
168C2×#386C2211yescharacteristic, complemented
169C2×#386C2211yescharacteristic, complemented
170C2×#386C2211yescharacteristic, complemented
171C2×#386C2211yescharacteristic, complemented
172C2×#386C2211yescharacteristic, complemented
173C2×#386C2211yescharacteristic, complemented
174C2×#386C2211yescharacteristic, complemented
175C2×#386C2211yescharacteristic, complemented
176C2×#386C2211yescharacteristic, complemented
177C2×#386C2211yescharacteristic, complemented
178C2×#386C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic, complemented
181C2×#386C2211yescharacteristic, complemented
182C2×#385C2211yescharacteristic
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, complemented
190C2×#385C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic, complemented
194C2×#383C2211yescharacteristic, complemented
195C2×#383C2211yescharacteristic, complemented
196C2×#381C2211yescharacteristic
197C2×#381C2211yescharacteristic
198C2×#381C2211yescharacteristic
199C2×#381C2211yescharacteristic, complemented
200C2×#381C2211yescharacteristic, complemented
201C2×#381C2211yescharacteristic, complemented
202C2×#381C2211yescharacteristic, complemented
203C2×#381C2211yescharacteristic, complemented
204C2×#380C2211yescharacteristic
205C2×#380C2211yescharacteristic, complemented
206C2×#380C2211yescharacteristic, complemented
207C2×#379C2211yescharacteristic
208C2×#379C2211yescharacteristic
209C2×#379C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic, complemented
213C2×C4×C22⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C22×#95C2211yescharacteristic
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C22×#41—28no—
222C22×#41—44no—
223C22×#41—44no—
224C22×#41C2318yes—
225C23×Q8C2311yescharacteristic
226C23×Q8C2311yescharacteristic
227C23×D4—28no—
228C23×D4—44no—
229C23×D4—44no—
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2318yes—
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C24×C4—44no—
247C24×C4—44no—
248C24×C4—44no—
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2318yes—
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C2×#124—44no—
266C2×#124C2318yescomplemented
267C2×#123—44no—
268C2×#123—44no—
269C2×#123C2318yescomplemented
270C2×#123C2318yescomplemented
271C2×C22⋊Q8—44no—
272C2×C22⋊Q8C2318yes—
273C2×#121—28no—
274C2×#121—28no—
275C2×#121—44no—
276C2×#121—44no—
277C2×#121C2318yes—
278C2×#121C2318yes—
279C2×#121C2318yes—
280C2×#121C2318yes—
281C2×#120—28no—
282C2×#120—28no—
283C2×#120—44no—
284C2×#120—44no—
285C2×#120C2318yes—
286C2×#120C2318yes—
287C2×#120C2318yes—
288C2×#120C2318yes—
289C2×C4×D4—44no—
290C2×C4×D4—44no—
291C2×C4×D4—44no—
292C2×C4×D4—44no—
293C2×C4×D4—44no—
294C2×C4×D4C2318yes—
295C2×C4×D4C2318yes—
296C2×C4×D4C2318yescomplemented
297C2×C4×D4C2318yescomplemented
298C2×C4×D4C2318yescomplemented
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C22⋊C4—44no—
315C22×C22⋊C4—44no—
316C22×C22⋊C4—44no—
317C22×C22⋊C4—44no—
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2318yes—
338C22×C22⋊C4C2318yes—
339C22×C22⋊C4C2318yes—
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2318yes—
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382#401C2318yescomplemented
383#401C2318yescomplemented
384#400C2318yescomplemented
385#400C2318yescomplemented
386#400C2318yescomplemented
387#400C2318yescomplemented
388#400C2318yescomplemented
389#398C2318yescomplemented
390#397C2318yescomplemented
391#397C2318yescomplemented
392#397C2318yescomplemented
393#397C2318yescomplemented
394#397C2318yescomplemented
395#397C2318yescomplemented
396#397C2318yescomplemented
397#397C2318yescomplemented
398#397C2318yescomplemented
399#396C2318yescomplemented
400#394C2318yes—
401#394C2318yes—
402#394C2318yes—
403#394C2318yes—
404#394C2318yescomplemented
405#394C2318yescomplemented
406#393C2318yescomplemented
407#393C2318yescomplemented
408#393C2318yescomplemented
409#393C2318yescomplemented
410#393C2318yescomplemented
411#393C2318yescomplemented
412#393C2318yescomplemented
413#393C2318yescomplemented
414#392C2318yes—
415#392C2318yes—
416#392C2318yes—
417#392C2318yes—
418#392C2318yescomplemented
419#392C2318yescomplemented
420#392C2318yescomplemented
421#392C2318yescomplemented
422#391C2318yescomplemented
423#391C2318yescomplemented
424#391C2318yescomplemented
425#390C2318yes—
426#390C2318yes—
427#390C2318yescomplemented
428#390C2318yescomplemented
429#388C2318yescomplemented
430#388C2318yescomplemented
431#388C2318yescomplemented
432#388C2318yescomplemented
433#388C2318yescomplemented
434#388C2318yescomplemented
435#388C2318yescomplemented
436#388C2318yescomplemented
437#388C2318yescomplemented
438#388C2318yescomplemented
439#387C2318yescomplemented
440#387C2318yescomplemented
441#387C2318yescomplemented
442#387C2318yescomplemented
443#387C2318yescomplemented
444#386C2318yes—
445#386C2318yes—
446#386C2318yes—
447#386C2318yes—
448#386C2318yes—
449#386C2318yes—
450#386C2318yes—
451#386C2318yes—
452#386C2318yes—
453#386C2318yes—
454#386C2318yes—
455#386C2318yes—
456#386C2318yes—
457#386C2318yes—
458#386C2318yes—
459#386C2318yes—
460#386C2318yescomplemented
461#386C2318yescomplemented
462#386C2318yescomplemented
463#386C2318yescomplemented
464#386C2318yescomplemented
465#386C2318yescomplemented
466#386C2318yescomplemented
467#386C2318yescomplemented
468#386C2318yescomplemented
469#386C2318yescomplemented
470#386C2318yescomplemented
471#386C2318yescomplemented
472#386C2318yescomplemented
473#386C2318yescomplemented
474#386C2318yescomplemented
475#386C2318yescomplemented
476#385C2318yes—
477#385C2318yes—
478#385C2318yes—
479#385C2318yes—
480#385C2318yescomplemented
481#385C2318yescomplemented
482#385C2318yescomplemented
483#385C2318yescomplemented
484#385C2318yescomplemented
485#385C2318yescomplemented
486#385C2318yescomplemented
487#385C2318yescomplemented
488#383C2318yescomplemented
489#383C2318yescomplemented
490#381C2318yes—
491#381C2318yes—
492#381C2318yes—
493#381C2318yescomplemented
494#381C2318yescomplemented
495#381C2318yescomplemented
496#381C2318yescomplemented
497#381C2318yescomplemented
498#380C2318yes—
499#380C2318yescomplemented
500#380C2318yescomplemented
501#379C2318yes—
502#379C2318yes—
503#379C2318yes—
504C4×C22⋊C4C2318yes—
505C4×C22⋊C4C2318yes—
506C4×C22⋊C4C2318yescomplemented
507C4×C22⋊C4C2318yescomplemented
508C4×C22⋊C4C2318yescomplemented
509C4×C22⋊C4C2318yescomplemented
510C2×#95C2318yes—
511C2×#95C2311yescharacteristic
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2318yes—
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2318yescomplemented
559C25—24no—
560C25—24no—
561C25—24no—
562C25—24no—
563C25—24no—
564C25—24no—
565C25—24no—
566C25—24no—
567C25—24no—
568C25—42no—
569C25—42no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2411yescharacteristic
578C25C2411yescharacteristic
579C25C2414yes—
580C25C2414yes—
581C25C2411yescharacteristic
582C2×#41—232no—
583C2×#41—416no—
584C2×#41—416no—
585C2×#41—464no—
586C22×Q8—24no—
587C22×Q8—42no—
588C22×Q8—42no—
589C22×Q8—42no—
590C22×Q8—42no—
591C22×Q8—42no—
592C22×Q8C2414yes—
593C22×Q8C2414yes—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—24no—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—24no—
610C22×D4—24no—
611C22×D4—24no—
612C22×D4—24no—
613C22×D4—24no—
614C22×D4—232no—
615C22×D4—24no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4—42no—
620C22×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—42no—
624C22×D4—416no—
625C22×D4—42no—
626C22×D4—42no—
627C22×D4—42no—
628C22×D4—42no—
629C22×D4—42no—
630C22×D4—42no—
631C22×D4—42no—
632C22×D4—42no—
633C22×D4—42no—
634C22×D4—42no—
635C22×D4—42no—
636C22×D4—42no—
637C22×D4—42no—
638C22×D4—42no—
639C22×D4—416no—
640C22×D4—464no—
641C22×D4#4118yes—
642C22×D4#4118yescomplemented
643C22×D4C2414yes—
644C22×D4C2414yes—
645C22×D4C2414yes—
646C22×D4C2414yes—
647C22×D4C2414yes—
648C22×D4C2414yes—
649C22×D4C2414yes—
650C22×D4C2414yes—
651C22×D4C2414yes—
652C22×D4C2414yes—
653C22×D4C2414yes—
654C22×D4C2414yes—
655C22×D4C2414yes—
656C22×D4C2414yes—
657C22×D4C2414yes—
658C23×C4—24no—
659C23×C4—24no—
660C23×C4—24no—
661C23×C4—24no—
662C23×C4—24no—
663C23×C4—24no—
664C23×C4—24no—
665C23×C4—24no—
666C23×C4—24no—
667C23×C4—24no—
668C23×C4—24no—
669C23×C4—24no—
670C23×C4—24no—
671C23×C4—24no—
672C23×C4—24no—
673C23×C4—24no—
674C23×C4—24no—
675C23×C4—24no—
676C23×C4—416no—
677C23×C4—42no—
678C23×C4—42no—
679C23×C4—42no—
680C23×C4—42no—
681C23×C4—42no—
682C23×C4—42no—
683C23×C4—42no—
684C23×C4—42no—
685C23×C4—416no—
686C23×C4—42no—
687C23×C4—42no—
688C23×C4—42no—
689C23×C4—416no—
690C23×C4—42no—
691C23×C4—42no—
692C23×C4—42no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4—42no—
706C23×C4—464no—
707C23×C4C2414yes—
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2414yes—
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2414yes—
736C23×C4C2414yes—
737C23×C4C2414yes—
738C23×C4C2414yes—
739C23×C4C2414yes—
740C23×C4C2414yes—
741C23×C4C2414yes—
742C23×C4C2414yes—
743C23×C4C2414yes—
744C23×C4C2414yes—
745C23×C4C2414yes—
746#124—416no—
747#123—416no—
748#123—416no—
749C22⋊Q8—416no—
750#121—232no—
751#121—232no—
752#121—416no—
753#121—416no—
754#120—232no—
755#120—232no—
756#120—416no—
757#120—416no—
758C4×D4—416no—
759C4×D4—416no—
760C4×D4—416no—
761C4×D4—416no—
762C4×D4—416no—
763C2×C4⋊C4—24no—
764C2×C4⋊C4—24no—
765C2×C4⋊C4—24no—
766C2×C4⋊C4—42no—
767C2×C4⋊C4—42no—
768C2×C4⋊C4—42no—
769C2×C4⋊C4—42no—
770C2×C4⋊C4—42no—
771C2×C4⋊C4—42no—
772C2×C4⋊C4—42no—
773C2×C4⋊C4—42no—
774C2×C4⋊C4—42no—
775C2×C4⋊C4—42no—
776C2×C4⋊C4—42no—
777C2×C4⋊C4—42no—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2414yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2414yes—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C22⋊C4—24no—
794C2×C22⋊C4—24no—
795C2×C22⋊C4—24no—
796C2×C22⋊C4—24no—
797C2×C22⋊C4—24no—
798C2×C22⋊C4—24no—
799C2×C22⋊C4—24no—
800C2×C22⋊C4—24no—
801C2×C22⋊C4—24no—
802C2×C22⋊C4—24no—
803C2×C22⋊C4—24no—
804C2×C22⋊C4—24no—
805C2×C22⋊C4—24no—
806C2×C22⋊C4—24no—
807C2×C22⋊C4—24no—
808C2×C22⋊C4—24no—
809C2×C22⋊C4—24no—
810C2×C22⋊C4—24no—
811C2×C22⋊C4—24no—
812C2×C22⋊C4—416no—
813C2×C22⋊C4—416no—
814C2×C22⋊C4—42no—
815C2×C22⋊C4—42no—
816C2×C22⋊C4—42no—
817C2×C22⋊C4—42no—
818C2×C22⋊C4—42no—
819C2×C22⋊C4—42no—
820C2×C22⋊C4—42no—
821C2×C22⋊C4—42no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—42no—
824C2×C22⋊C4—42no—
825C2×C22⋊C4—42no—
826C2×C22⋊C4—416no—
827C2×C22⋊C4—416no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—42no—
839C2×C22⋊C4—42no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—42no—
842C2×C22⋊C4—42no—
843C2×C22⋊C4—42no—
844C2×C22⋊C4—42no—
845C2×C22⋊C4—42no—
846C2×C22⋊C4—42no—
847C2×C22⋊C4—42no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C42—24no—
906C2×C42—42no—
907C2×C42—42no—
908C2×C42—42no—
909C2×C42—42no—
910C2×C42—42no—
911C2×C42C2414yes—
912C2×C42C2414yes—
913C2×C42C2414yes—
914C2×C42C2414yes—
915C2×C42C2414yes—
916C2×C42C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—232no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—28no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—28no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—28no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—22no—
997C24—28no—
998C24—22no—
999C24—28no—
1000C24—22no—
1001C24—22no—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—28no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—28no—
1013C24—28no—
1014C24—28no—
1015C24—44no—
1016C24—44no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—416no—
1021C24—416no—
1022C24—416no—
1023C24—416no—
1024C24—416no—
1025C24—416no—
1026C24—416no—
1027C24—416no—
1028C24—416no—
1029C24—416no—
1030C24—88no—
1031C24—88no—
1032C24—88no—
1033C24C2×#4114yes—
1034C24C2×#4114yes—
1035C24C2×#4114yes—
1036C24C2×#4114yes—
1037C24H(5,𝔽2)14yes—
1038C24H(5,𝔽2)14yes—
1039C24H(5,𝔽2)14yes—
1040C24C2512yes—
1041C24C2512yes—
1042C24C2512yes—
1043C24C2512yes—
1044C24C2512yes—
1045C24C2512yes—
1046C24C2512yes—
1047C24C2511yescharacteristic
1048#41—4128no—
1049C2×Q8—28no—
1050C2×Q8—44no—
1051C2×Q8—44no—
1052C2×Q8—44no—
1053C2×Q8—44no—
1054C2×Q8—44no—
1055C2×Q8—416no—
1056C2×Q8—88no—
1057C2×D4—232no—
1058C2×D4—28no—
1059C2×D4—28no—
1060C2×D4—28no—
1061C2×D4—28no—
1062C2×D4—28no—
1063C2×D4—28no—
1064C2×D4—28no—
1065C2×D4—28no—
1066C2×D4—28no—
1067C2×D4—28no—
1068C2×D4—28no—
1069C2×D4—28no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—28no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—416no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—416no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—416no—
1104C2×D4—416no—
1105C2×D4—416no—
1106C2×D4—416no—
1107C2×D4—4128no—
1108C2×D4—416no—
1109C2×D4—416no—
1110C2×D4—416no—
1111C2×D4—88no—
1112C2×D4—88no—
1113C2×D4—88no—
1114C2×D4—88no—
1115C2×D4—88no—
1116C2×D4C2×#41116yes—
1117C2×D4C2×#41116yescomplemented
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—28no—
1139C22×C4—28no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—28no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—28no—
1171C22×C4—28no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—28no—
1185C22×C4—28no—
1186C22×C4—28no—
1187C22×C4—28no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—28no—
1197C22×C4—28no—
1198C22×C4—28no—
1199C22×C4—28no—
1200C22×C4—28no—
1201C22×C4—28no—
1202C22×C4—28no—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—416no—
1233C22×C4—416no—
1234C22×C4—416no—
1235C22×C4—416no—
1236C22×C4—416no—
1237C22×C4—416no—
1238C22×C4—416no—
1239C22×C4—416no—
1240C22×C4—4128no—
1241C22×C4—416no—
1242C22×C4—416no—
1243C22×C4—88no—
1244C22×C4—88no—
1245C22×C4—88no—
1246C22×C4—88no—
1247C22×C4—88no—
1248C22×C4C2×#4114yes—
1249C22×C4C2×#4114yes—
1250C22×C4H(5,𝔽2)14yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C4⋊C4—28no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
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—28no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
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—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C42—28no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—28no—
1355C23—28no—
1356C23—28no—
1357C23—28no—
1358C23—28no—
1359C23—28no—
1360C23—232no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—28no—
1386C23—28no—
1387C23—28no—
1388C23—28no—
1389C23—28no—
1390C23—28no—
1391C23—28no—
1392C23—28no—
1393C23—28no—
1394C23—28no—
1395C23—28no—
1396C23—28no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—416no—
1412C23—416no—
1413C23—416no—
1414C23—416no—
1415C23—416no—
1416C23—416no—
1417C23—416no—
1418C23—4128no—
1419C23—416no—
1420C23—416no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—44no—
1438C23—416no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—88no—
1453C23—88no—
1454C23—88no—
1455C23—864no—
1456C23#538116yes—
1457C23C22×#4114yes—
1458C23C22×#4114yes—
1459C23C22×#4114yes—
1460C23C22×#4114yes—
1461C23C22×#4112yes—
1462C23C22×#4112yes—
1463C23C2×H(5,𝔽2)14yes—
1464C23C2×H(5,𝔽2)14yes—
1465C23C2×H(5,𝔽2)14yes—
1466C23C2×H(5,𝔽2)12yes—
1467C23C2×H(5,𝔽2)12yes—
1468C23C2×H(5,𝔽2)12yes—
1469C23C2×H(5,𝔽2)12yes—
1470C23#58512yes—
1471C23C2611yescharacteristic
1472Q8—416no—
1473Q8—88no—
1474D4—232no—
1475D4—416no—
1476D4—416no—
1477D4—416no—
1478D4—416no—
1479D4—416no—
1480D4—416no—
1481D4—416no—
1482D4—416no—
1483D4—416no—
1484D4—88no—
1485D4—88no—
1486D4—88no—
1487D4—88no—
1488D4—88no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—28no—
1496C2×C4—28no—
1497C2×C4—28no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—416no—
1562C2×C4—416no—
1563C2×C4—416no—
1564C2×C4—416no—
1565C2×C4—416no—
1566C2×C4—416no—
1567C2×C4—416no—
1568C2×C4—416no—
1569C2×C4—416no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—416no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—88no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4—88no—
1596C2×C4—88no—
1597C2×C4C22×#4114yes—
1598C2×C4C22×#4114yes—
1599C2×C4C2×H(5,𝔽2)14yes—
1600C22—24no—
1601C22—24no—
1602C22—24no—
1603C22—232no—
1604C22—24no—
1605C22—24no—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—24no—
1610C22—24no—
1611C22—24no—
1612C22—24no—
1613C22—24no—
1614C22—24no—
1615C22—24no—
1616C22—24no—
1617C22—24no—
1618C22—24no—
1619C22—464no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—416no—
1626C22—416no—
1627C22—416no—
1628C22—416no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—832no—
1655C22—88no—
1656C22—88no—
1657C22C2×#53818yes—
1658C22C2×#53814yes—
1659C22#348114yes—
1660C22#349014yes—
1661C22#351314yes—
1662C22#351314yes—
1663C22#353214yes—
1664C22#354214yes—
1665C22C23×#4111yescharacteristic
1666C22C23×#4111yescharacteristic
1667C22C22×H(5,𝔽2)11yescharacteristic
1668C22C22×H(5,𝔽2)11yescharacteristic
1669C22C22×H(5,𝔽2)11yescharacteristic
1670C22C22×H(5,𝔽2)11yescharacteristic
1671C22C2×#58511yescharacteristic
1672C4—24no—
1673C4—24no—
1674C4—24no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C2—28no—
1697C2—44no—
1698C2—44no—
1699C2—44no—
1700C2—44no—
1701C2—82no—
1702C2—82no—
1703C2#3850018yesdirect product factor
1704C2C22×#53811yescharacteristic
1705C2C2×#348111yescharacteristic
1706C2C2×#353211yescharacteristic
1707C2C2×#354211yescharacteristic
1708C2C2×#349011yescharacteristic
1709C2C2×#351311yescharacteristic
1710C2C2×#351311yescharacteristic
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. C2×#2804C2semidirect
2. C2×#2778C2semidirect
3. C2×#2760C2semidirect
4. C2×#2751C2semidirect
5. C2×#2749C2semidirect
6. C2×#2708C2semidirect
7. C2×#2703C2semidirect
8. C2×#2688C2semidirect
9. #38500C2direct (N × H)
10. C2×#2849C2semidirect
11. C2×#2572C2semidirect
12. C2×#2561C2semidirect
13. C2×#2557C2semidirect
14. C2×#2510C2semidirect
15. C2×#2493C2semidirect
16. C2×#2483C2semidirect
17. C2×#2404C2semidirect
18. C2×#2404C2semidirect
19. C2×#2408C2semidirect
20. C2×#2450C2semidirect
21. C2×#2444C2semidirect
22. C2×#2472C2semidirect
23. C2×#2456C2semidirect
24. C2×#2410C2semidirect
25. C2×#2631C2semidirect
26. C2×#2653C2semidirect
27. C2×#2358C2semidirect
28. C2×#2339C2semidirect
29. C2×#2333C2semidirect
30. C2×#2325C2semidirect
31. C2×C4×#120C2semidirect
32. C22×#386C2semidirect
36. C22×#124C22semidirect
37. C22×#123C22semidirect
38. C22×#123C22semidirect
50. C22×C4×D4C22semidirect
51. C22×C4×D4C22semidirect
52. C22×C4×D4C22semidirect
57. #2849C22semidirect
58. #2804C22semidirect
59. #2778C22semidirect
60. #2760C22semidirect
61. #2751C22semidirect
62. #2749C22semidirect
63. #2708C22semidirect
64. #2703C22semidirect
65. #2688C22semidirect
66. #2653C22semidirect
67. #2631C22semidirect
68. #2572C22semidirect
69. #2561C22semidirect
70. #2557C22semidirect
71. #2510C22semidirect
72. #2493C22semidirect
73. #2483C22semidirect
74. #2472C22semidirect
75. #2456C22semidirect
76. #2450C22semidirect
77. #2444C22semidirect
78. #2410C22semidirect
79. #2408C22semidirect
80. #2404C22semidirect
81. #2404C22semidirect
82. C2×#401C22semidirect
83. C2×#401C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#400C22semidirect
89. C2×#398C22semidirect
90. C2×#397C22semidirect
91. C2×#397C22semidirect
92. C2×#397C22semidirect
93. C2×#397C22semidirect
94. C2×#397C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#397C22semidirect
98. C2×#397C22semidirect
99. C2×#396C22semidirect
104. C2×#394C22semidirect
105. C2×#394C22semidirect
106. C2×#393C22semidirect
107. C2×#393C22semidirect
108. C2×#393C22semidirect
109. C2×#393C22semidirect
110. C2×#393C22semidirect
111. C2×#393C22semidirect
112. C2×#393C22semidirect
113. C2×#393C22semidirect
118. C2×#392C22semidirect
119. C2×#392C22semidirect
120. C2×#392C22semidirect
121. C2×#392C22semidirect
122. #2358C22semidirect
123. #2339C22semidirect
124. #2333C22semidirect
125. #2325C22semidirect
126. C4×#120C22semidirect
127. C2×#391C22semidirect
128. C2×#391C22semidirect
129. C2×#391C22semidirect
132. C2×#390C22semidirect
133. C2×#390C22semidirect
134. C2×#388C22semidirect
135. C2×#388C22semidirect
136. C2×#388C22semidirect
137. C2×#388C22semidirect
138. C2×#388C22semidirect
139. C2×#388C22semidirect
140. C2×#388C22semidirect
141. C2×#388C22semidirect
142. C2×#388C22semidirect
143. C2×#388C22semidirect
144. C2×#387C22semidirect
145. C2×#387C22semidirect
146. C2×#387C22semidirect
147. C2×#387C22semidirect
148. C2×#387C22semidirect
165. C2×#386C22semidirect
166. C2×#386C22semidirect
167. C2×#386C22semidirect
168. C2×#386C22semidirect
169. C2×#386C22semidirect
170. C2×#386C22semidirect
171. C2×#386C22semidirect
172. C2×#386C22semidirect
173. C2×#386C22semidirect
174. C2×#386C22semidirect
175. C2×#386C22semidirect
176. C2×#386C22semidirect
177. C2×#386C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
180. C2×#386C22semidirect
181. C2×#386C22semidirect
186. C2×#385C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
190. C2×#385C22semidirect
191. C2×#385C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#383C22semidirect
195. C2×#383C22semidirect
199. C2×#381C22semidirect
200. C2×#381C22semidirect
201. C2×#381C22semidirect
202. C2×#381C22semidirect
203. C2×#381C22semidirect
205. C2×#380C22semidirect
206. C2×#380C22semidirect
212. C2×C4×C22⋊C4C22semidirect
213. C2×C4×C22⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
218. C22×#95C22semidirect
266. C2×#124C23semidirect
269. C2×#123C23semidirect
270. C2×#123C23semidirect
296. C2×C4×D4C23semidirect
297. C2×C4×D4C23semidirect
298. C2×C4×D4C23semidirect
382. #401C23semidirect
383. #401C23semidirect
384. #400C23semidirect
385. #400C23semidirect
386. #400C23semidirect
387. #400C23semidirect
388. #400C23semidirect
389. #398C23semidirect
390. #397C23semidirect
391. #397C23semidirect
392. #397C23semidirect
393. #397C23semidirect
394. #397C23semidirect
395. #397C23semidirect
396. #397C23semidirect
397. #397C23semidirect
398. #397C23semidirect
399. #396C23semidirect
404. #394C23semidirect
405. #394C23semidirect
406. #393C23semidirect
407. #393C23semidirect
408. #393C23semidirect
409. #393C23semidirect
410. #393C23semidirect
411. #393C23semidirect
412. #393C23semidirect
413. #393C23semidirect
418. #392C23semidirect
419. #392C23semidirect
420. #392C23semidirect
421. #392C23semidirect
422. #391C23semidirect
423. #391C23semidirect
424. #391C23semidirect
427. #390C23semidirect
428. #390C23semidirect
429. #388C23semidirect
430. #388C23semidirect
431. #388C23semidirect
432. #388C23semidirect
433. #388C23semidirect
434. #388C23semidirect
435. #388C23semidirect
436. #388C23semidirect
437. #388C23semidirect
438. #388C23semidirect
439. #387C23semidirect
440. #387C23semidirect
441. #387C23semidirect
442. #387C23semidirect
443. #387C23semidirect
460. #386C23semidirect
461. #386C23semidirect
462. #386C23semidirect
463. #386C23semidirect
464. #386C23semidirect
465. #386C23semidirect
466. #386C23semidirect
467. #386C23semidirect
468. #386C23semidirect
469. #386C23semidirect
470. #386C23semidirect
471. #386C23semidirect
472. #386C23semidirect
473. #386C23semidirect
474. #386C23semidirect
475. #386C23semidirect
480. #385C23semidirect
481. #385C23semidirect
482. #385C23semidirect
483. #385C23semidirect
484. #385C23semidirect
485. #385C23semidirect
486. #385C23semidirect
487. #385C23semidirect
488. #383C23semidirect
489. #383C23semidirect
493. #381C23semidirect
494. #381C23semidirect
495. #381C23semidirect
496. #381C23semidirect
497. #381C23semidirect
499. #380C23semidirect
500. #380C23semidirect
506. C4×C22⋊C4C23semidirect
507. C4×C22⋊C4C23semidirect
508. C4×C22⋊C4C23semidirect
509. C4×C22⋊C4C23semidirect
558. C2×#95C23semidirect
642. C22×D4#41semidirect
1117. C2×D4C2×#41semidirect
1703. C2#38500direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28042
C2×#27782
C2×#27602
C2×#27512
C2×#27492
C2×#27082
C2×#27032
C2×#26882
#385002
C2×#28492
C2×#25722
C2×#25612
C2×#25572
C2×#25102
C2×#24932
C2×#24832
C2×#24042
C2×#24082
C2×#24502
C2×#24442
C2×#24722
C2×#24562
C2×#24102
C2×#26312
C2×#26532
C2×#23582
C2×#23392
C2×#23332
C2×#23252
C2×C4×#1202
C22×#3862