Finite Group Databasebeta

← #154689

Subgroups — #154689

Order 512.

3542 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#391C211yesmaximal, characteristic
2C22×#391C211yesmaximal, characteristic
3C2×#1446C211yesmaximal, characteristic
4C2×#1444C211yesmaximal, characteristic
5C2×#1441C211yesmaximal, characteristic
6C2×#1436C211yesmaximal, characteristic
7C2×C4⋊#95C211yesmaximal, characteristic
8#7557C211yesmaximal, characteristic
9#7557C211yesmaximal, characteristic
10#7557C211yesmaximal, characteristic
11#7557C211yesmaximal, characteristic
12#7557C211yesmaximal, characteristic
13#7556C211yesmaximal, characteristic
14#7554C211yesmaximal, characteristic
15#7554C211yesmaximal, characteristic
16C24×Q8C2211yescharacteristic
17C23×C4⋊C4C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C4⋊C4C2211yescharacteristic
22C23×C42C2211yescharacteristic
23C23×C42C2211yescharacteristic
24C2×#391—24no—
25C2×#391—24no—
26C2×#391—24no—
27C2×#391—24no—
28C2×#391—24no—
29C2×#391C418yescomplemented
30C22×#95C2211yescharacteristic
31C22×#95C2211yescharacteristic
32C22×#95C2211yescharacteristic
33C22×#95C2211yescharacteristic
34C22×#95C2211yescharacteristic
35C22×#95C2211yescharacteristic
36C22×#95C2211yescharacteristic
37C22×#95C2211yescharacteristic
38C22×#95C2211yescharacteristic
39C22×#95C2211yescharacteristic
40C22×#95C2211yescharacteristic
41C22×#95C2211yescharacteristic
42C22×#95C2211yescharacteristic
43C22×#95C2211yescharacteristic
44C22×#95C2211yescharacteristic
45C22×#95C2211yescharacteristic
46C22×#95C2211yescharacteristic
47C22×#95C2211yescharacteristic
48C22×#95C2211yescharacteristic
49C22×#95C2211yescharacteristic
50C22×#95C2211yescharacteristic
51C22×#95C2211yescharacteristic
52C22×#95C2211yescharacteristic
53C22×#95C2211yescharacteristic
54C22×#95C2211yescharacteristic
55C22×#95C2211yescharacteristic
56C22×#95C2211yescharacteristic
57#1446—24no—
58#1444—24no—
59#1441—24no—
60#1436—24no—
61C4⋊#95—24no—
62C23×Q8—22no—
63C23×Q8—22no—
64C23×Q8—22no—
65C23×Q8—22no—
66C23×Q8—22no—
67C23×Q8—22no—
68C23×Q8—22no—
69C23×Q8—22no—
70C23×Q8—41no—
71C23×Q8—41no—
72C23×Q8—41no—
73C23×Q8—41no—
74C23×Q8C2×C414yes—
75C23×Q8D414yes—
76C23×Q8Q814yes—
77C24×C4C2311yescharacteristic
78C24×C4C2311yescharacteristic
79C24×C4C2311yescharacteristic
80C24×C4C2311yescharacteristic
81C24×C4C2311yescharacteristic
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C22×C4⋊C4—22no—
93C22×C4⋊C4—22no—
94C22×C4⋊C4—22no—
95C22×C4⋊C4—22no—
96C22×C4⋊C4—22no—
97C22×C4⋊C4—22no—
98C22×C4⋊C4—22no—
99C22×C4⋊C4—22no—
100C22×C4⋊C4—22no—
101C22×C4⋊C4—22no—
102C22×C4⋊C4—22no—
103C22×C4⋊C4—22no—
104C22×C4⋊C4—22no—
105C22×C4⋊C4—22no—
106C22×C4⋊C4—22no—
107C22×C4⋊C4—22no—
108C22×C4⋊C4—22no—
109C22×C4⋊C4—22no—
110C22×C4⋊C4—22no—
111C22×C4⋊C4—22no—
112C22×C4⋊C4—22no—
113C22×C4⋊C4—41no—
114C22×C4⋊C4—41no—
115C22×C4⋊C4—41no—
116C22×C4⋊C4—41no—
117C22×C4⋊C4—41no—
118C22×C4⋊C4—41no—
119C22×C4⋊C4—41no—
120C22×C4⋊C4—41no—
121C22×C4⋊C4—41no—
122C22×C4⋊C4—41no—
123C22×C4⋊C4—41no—
124C22×C4⋊C4—41no—
125C22×C4⋊C4C2×C414yes—
126C22×C4⋊C4Q814yescomplemented
127C22×C42—22no—
128C22×C42—22no—
129C22×C42—22no—
130C22×C42—22no—
131C22×C42—22no—
132C22×C42—22no—
133C22×C42—22no—
134C22×C42—22no—
135C22×C42—22no—
136C22×C42—41no—
137C22×C42—41no—
138C22×C42—41no—
139C22×C42—41no—
140C22×C42C2×C414yes—
141#391—232no—
142#391—232no—
143C2×#95—22no—
144C2×#95—22no—
145C2×#95—22no—
146C2×#95—22no—
147C2×#95—22no—
148C2×#95—22no—
149C2×#95—22no—
150C2×#95—22no—
151C2×#95—22no—
152C2×#95—22no—
153C2×#95—22no—
154C2×#95—22no—
155C2×#95—22no—
156C2×#95—22no—
157C2×#95—22no—
158C2×#95—22no—
159C2×#95—22no—
160C2×#95—22no—
161C2×#95—22no—
162C2×#95—22no—
163C2×#95—22no—
164C2×#95—22no—
165C2×#95—22no—
166C2×#95—22no—
167C2×#95—22no—
168C2×#95—22no—
169C2×#95—22no—
170C2×#95—22no—
171C2×#95—22no—
172C2×#95—22no—
173C2×#95—22no—
174C2×#95—22no—
175C2×#95—22no—
176C2×#95—22no—
177C2×#95—22no—
178C2×#95—22no—
179C2×#95—22no—
180C2×#95—22no—
181C2×#95—22no—
182C2×#95—22no—
183C2×#95—22no—
184C2×#95—22no—
185C2×#95—22no—
186C2×#95—22no—
187C2×#95—22no—
188C2×#95—22no—
189C2×#95—22no—
190C2×#95—22no—
191C2×#95—22no—
192C2×#95—41no—
193C2×#95—41no—
194C2×#95—41no—
195C2×#95—41no—
196C2×#95—41no—
197C2×#95—41no—
198C2×#95—41no—
199C2×#95—41no—
200C2×#95—41no—
201C2×#95—41no—
202C2×#95—41no—
203C2×#95—41no—
204C2×#95—41no—
205C2×#95—41no—
206C2×#95—41no—
207C2×#95—41no—
208C2×#95—41no—
209C2×#95—41no—
210C2×#95—41no—
211C2×#95—41no—
212C2×#95—41no—
213C2×#95—41no—
214C2×#95C2×C414yes—
215C2×#95C2×C414yes—
216C2×#95C2×C414yes—
217C2×#95C2×C414yes—
218C2×#95D414yes—
219C2×#95D414yes—
220C2×#95D414yes—
221C2×#95D414yes—
222C2×#95Q814yescomplemented
223C2×#95Q814yescomplemented
224C25C2411yescharacteristic
225C22×Q8—28no—
226C22×Q8—28no—
227C22×Q8—28no—
228C22×Q8—28no—
229C22×Q8—28no—
230C22×Q8—28no—
231C22×Q8—28no—
232C22×Q8—28no—
233C22×Q8—28no—
234C22×Q8—28no—
235C22×Q8—28no—
236C22×Q8—28no—
237C22×Q8—44no—
238C22×Q8—44no—
239C22×Q8—44no—
240C22×Q8—44no—
241C22×Q8—44no—
242C22×Q8—44no—
243C22×Q8—44no—
244C22×Q8—44no—
245C22×Q8—44no—
246C22×Q8—44no—
247C22×Q8—44no—
248C22×Q8—44no—
249C22×Q8—44no—
250C22×Q8—44no—
251C22×Q8—44no—
252C22×Q8—44no—
253C22×Q8—44no—
254C22×Q8—44no—
255C22×Q8—44no—
256C22×Q8—44no—
257C22×Q8—44no—
258C22×Q8—44no—
259C22×Q8C4⋊C4116yescomplemented
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—21no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—21no—
274C23×C4—21no—
275C23×C4—21no—
276C23×C4—21no—
277C23×C4—21no—
278C23×C4—21no—
279C23×C4—21no—
280C23×C4—21no—
281C23×C4—21no—
282C23×C4—21no—
283C23×C4—21no—
284C23×C4—21no—
285C23×C4—21no—
286C23×C4—21no—
287C23×C4—21no—
288C23×C4—21no—
289C23×C4—21no—
290C23×C4—21no—
291C23×C4—21no—
292C23×C4—21no—
293C23×C4—21no—
294C23×C4—21no—
295C23×C4—21no—
296C23×C4—21no—
297C23×C4—21no—
298C23×C4—21no—
299C23×C4—21no—
300C23×C4—21no—
301C23×C4—21no—
302C23×C4—21no—
303C23×C4—21no—
304C23×C4—21no—
305C23×C4—21no—
306C23×C4—21no—
307C23×C4—21no—
308C23×C4—21no—
309C23×C4—21no—
310C23×C4—21no—
311C23×C4—21no—
312C23×C4—21no—
313C23×C4—21no—
314C23×C4—21no—
315C23×C4—21no—
316C23×C4—21no—
317C23×C4—21no—
318C23×C4—21no—
319C23×C4—21no—
320C23×C4—21no—
321C23×C4—21no—
322C23×C4—21no—
323C23×C4—21no—
324C23×C4—21no—
325C23×C4—21no—
326C23×C4—21no—
327C23×C4—21no—
328C23×C4—21no—
329C23×C4—21no—
330C23×C4—21no—
331C23×C4—21no—
332C23×C4—21no—
333C23×C4—21no—
334C23×C4—21no—
335C23×C4—21no—
336C23×C4—21no—
337C23×C4—21no—
338C23×C4—21no—
339C23×C4—21no—
340C23×C4—21no—
341C23×C4—21no—
342C23×C4—21no—
343C23×C4—21no—
344C23×C4—21no—
345C23×C4—21no—
346C23×C4—21no—
347C23×C4—21no—
348C23×C4—21no—
349C23×C4—21no—
350C23×C4—21no—
351C23×C4—21no—
352C23×C4—21no—
353C23×C4—21no—
354C23×C4—21no—
355C23×C4—21no—
356C23×C4—21no—
357C23×C4—21no—
358C23×C4—21no—
359C23×C4—21no—
360C23×C4—21no—
361C23×C4—21no—
362C23×C4—21no—
363C23×C4—21no—
364C23×C4—21no—
365C23×C4—21no—
366C23×C4—21no—
367C23×C4—21no—
368C23×C4—21no—
369C23×C4—21no—
370C23×C4—21no—
371C23×C4—21no—
372C23×C4—21no—
373C23×C4—21no—
374C23×C4—21no—
375C23×C4—21no—
376C23×C4—21no—
377C23×C4—21no—
378C23×C4—21no—
379C23×C4—21no—
380C23×C4—21no—
381C23×C4—21no—
382C23×C4—21no—
383C23×C4—21no—
384C23×C4—21no—
385C23×C4—21no—
386C23×C4—21no—
387C23×C4—21no—
388C23×C4—21no—
389C23×C4—21no—
390C23×C4—21no—
391C23×C4—21no—
392C23×C4—21no—
393C23×C4—21no—
394C23×C4—21no—
395C23×C4—21no—
396C23×C4—21no—
397C23×C4—21no—
398C23×C4—21no—
399C23×C4—21no—
400C23×C4—21no—
401C23×C4—21no—
402C23×C4—21no—
403C23×C4—21no—
404C23×C4—21no—
405C23×C4—21no—
406C23×C4—21no—
407C23×C4—21no—
408C23×C4—21no—
409C23×C4—21no—
410C23×C4—21no—
411C23×C4—21no—
412C23×C4—21no—
413C23×C4—21no—
414C23×C4—21no—
415C23×C4—21no—
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—21no—
419C23×C4—21no—
420C23×C4—21no—
421C23×C4—21no—
422C23×C4—21no—
423C23×C4—21no—
424C23×C4—21no—
425C23×C4—21no—
426C23×C4—21no—
427C23×C4—21no—
428C23×C4—21no—
429C23×C4—21no—
430C23×C4—21no—
431C23×C4—21no—
432C23×C4—21no—
433C23×C4—21no—
434C23×C4—21no—
435C23×C4—21no—
436C23×C4—21no—
437C23×C4—21no—
438C23×C4—21no—
439C23×C4—21no—
440C23×C4—21no—
441C23×C4—21no—
442C23×C4C22×C412yes—
443C23×C4C22×C412yes—
444C23×C4C22×C412yes—
445C23×C4C22×C412yes—
446C23×C4C22×C412yes—
447C23×C4C22×C412yes—
448C23×C4C22×C412yes—
449C23×C4C2×D412yes—
450C23×C4C2×D412yes—
451C23×C4C2×D412yes—
452C23×C4C2×D412yes—
453C23×C4C2×D412yes—
454C23×C4C2×D412yes—
455C23×C4C2×D412yes—
456C23×C4C2×D412yes—
457C23×C4C2×D412yes—
458C23×C4C2×D412yes—
459C23×C4C2×D412yes—
460C23×C4C2×D412yes—
461C23×C4C2×D412yes—
462C23×C4C2×D412yes—
463C23×C4C2×D412yes—
464C23×C4C2×Q812yes—
465C23×C4C2×Q812yes—
466C23×C4C2×Q812yes—
467C23×C4C2×Q812yes—
468C23×C4C2×Q812yes—
469C23×C4C2×Q812yes—
470C23×C4C2×Q812yes—
471C23×C4C2×Q812yes—
472C23×C4C2×Q812yes—
473C23×C4C2×Q812yes—
474C23×C4C2×Q812yes—
475C23×C4C2×Q812yes—
476C23×C4#4112yes—
477C23×C4#4112yes—
478C23×C4#4112yes—
479C23×C4#4112yes—
480C23×C4#4112yes—
481C23×C4#4112yes—
482C23×C4#4112yes—
483C23×C4#4112yes—
484C23×C4#4112yes—
485C2×C4⋊C4—28no—
486C2×C4⋊C4—28no—
487C2×C4⋊C4—28no—
488C2×C4⋊C4—28no—
489C2×C4⋊C4—28no—
490C2×C4⋊C4—28no—
491C2×C4⋊C4—44no—
492C2×C4⋊C4—44no—
493C2×C4⋊C4—44no—
494C2×C4⋊C4—44no—
495C2×C4⋊C4—44no—
496C2×C4⋊C4—44no—
497C2×C4⋊C4—44no—
498C2×C4⋊C4—44no—
499C2×C4⋊C4—44no—
500C2×C4⋊C4—44no—
501C2×C4⋊C4—44no—
502C2×C4⋊C4—44no—
503C2×C4⋊C4—44no—
504C2×C4⋊C4—44no—
505C2×C4⋊C4—44no—
506C2×C4⋊C4—44no—
507C2×C4⋊C4—44no—
508C2×C4⋊C4—44no—
509C2×C4⋊C4—44no—
510C2×C4⋊C4—44no—
511C2×C4⋊C4—44no—
512C2×C4⋊C4—44no—
513C2×C4⋊C4—44no—
514C2×C4⋊C4—44no—
515C2×C4⋊C4—44no—
516C2×C4⋊C4—44no—
517C2×C4⋊C4—44no—
518C2×C4⋊C4—44no—
519C2×C4⋊C4—44no—
520C2×C42—28no—
521C2×C42—28no—
522C2×C42—28no—
523C2×C42—44no—
524C2×C42—44no—
525C2×C42—44no—
526C2×C42—44no—
527C2×C42—44no—
528C2×C42—44no—
529C2×C42—44no—
530C2×C42—44no—
531C2×C42—44no—
532C2×C42—44no—
533C2×C42—44no—
534#95—28no—
535#95—28no—
536#95—28no—
537#95—28no—
538#95—28no—
539#95—28no—
540#95—28no—
541#95—28no—
542#95—44no—
543#95—44no—
544#95—44no—
545#95—44no—
546#95—44no—
547#95—44no—
548#95—44no—
549#95—44no—
550#95—44no—
551#95—44no—
552#95—44no—
553#95—44no—
554#95—44no—
555#95—44no—
556#95—44no—
557#95—44no—
558#95—44no—
559#95—44no—
560#95C22⋊C4116yes—
561C24C23×C411yescharacteristic
562C24C22×D411yescharacteristic
563C24C22×D411yescharacteristic
564C24C22×D411yescharacteristic
565C24C22×D411yescharacteristic
566C24C22×D411yescharacteristic
567C24C22×Q811yescharacteristic
568C24C22×Q811yescharacteristic
569C24C22×Q811yescharacteristic
570C24C22×Q811yescharacteristic
571C24C2×#4111yescharacteristic
572C24C2×#4111yescharacteristic
573C24C2×#4111yescharacteristic
574C24C2×#4111yescharacteristic
575C24C2×#4111yescharacteristic
576C24C2×#4111yescharacteristic
577C24C2×#4111yescharacteristic
578C24C2×#4111yescharacteristic
579C24C2×#4111yescharacteristic
580C24H(5,𝔽2)11yescharacteristic
581C24H(5,𝔽2)11yescharacteristic
582C24H(5,𝔽2)11yescharacteristic
583C24H(5,𝔽2)11yescharacteristic
584C24H(5,𝔽2)11yescharacteristic
585C24H(5,𝔽2)11yescharacteristic
586C24H(5,𝔽2)11yescharacteristic
587C242−1+411yescharacteristic
588C242−1+411yescharacteristic
589C242−1+411yescharacteristic
590C242−1+411yescharacteristic
591C242−1+411yescharacteristic
592C2×Q8—232no—
593C2×Q8—232no—
594C2×Q8—416no—
595C2×Q8—416no—
596C2×Q8—416no—
597C2×Q8—416no—
598C2×Q8—416no—
599C2×Q8—416no—
600C2×Q8—416no—
601C2×Q8—416no—
602C2×Q8—416no—
603C2×Q8—416no—
604C2×Q8—416no—
605C2×Q8—416no—
606C2×Q8—416no—
607C22×C4—22no—
608C22×C4—22no—
609C22×C4—22no—
610C22×C4—22no—
611C22×C4—22no—
612C22×C4—22no—
613C22×C4—22no—
614C22×C4—22no—
615C22×C4—22no—
616C22×C4—22no—
617C22×C4—22no—
618C22×C4—22no—
619C22×C4—22no—
620C22×C4—22no—
621C22×C4—22no—
622C22×C4—22no—
623C22×C4—22no—
624C22×C4—22no—
625C22×C4—22no—
626C22×C4—22no—
627C22×C4—22no—
628C22×C4—22no—
629C22×C4—22no—
630C22×C4—22no—
631C22×C4—22no—
632C22×C4—22no—
633C22×C4—22no—
634C22×C4—22no—
635C22×C4—22no—
636C22×C4—22no—
637C22×C4—22no—
638C22×C4—22no—
639C22×C4—22no—
640C22×C4—22no—
641C22×C4—22no—
642C22×C4—22no—
643C22×C4—22no—
644C22×C4—22no—
645C22×C4—22no—
646C22×C4—22no—
647C22×C4—22no—
648C22×C4—22no—
649C22×C4—22no—
650C22×C4—22no—
651C22×C4—22no—
652C22×C4—22no—
653C22×C4—22no—
654C22×C4—22no—
655C22×C4—22no—
656C22×C4—22no—
657C22×C4—22no—
658C22×C4—22no—
659C22×C4—22no—
660C22×C4—22no—
661C22×C4—22no—
662C22×C4—22no—
663C22×C4—22no—
664C22×C4—22no—
665C22×C4—22no—
666C22×C4—22no—
667C22×C4—22no—
668C22×C4—22no—
669C22×C4—22no—
670C22×C4—22no—
671C22×C4—22no—
672C22×C4—22no—
673C22×C4—22no—
674C22×C4—22no—
675C22×C4—22no—
676C22×C4—22no—
677C22×C4—22no—
678C22×C4—22no—
679C22×C4—22no—
680C22×C4—22no—
681C22×C4—22no—
682C22×C4—22no—
683C22×C4—22no—
684C22×C4—22no—
685C22×C4—22no—
686C22×C4—22no—
687C22×C4—22no—
688C22×C4—22no—
689C22×C4—22no—
690C22×C4—22no—
691C22×C4—22no—
692C22×C4—22no—
693C22×C4—22no—
694C22×C4—22no—
695C22×C4—22no—
696C22×C4—22no—
697C22×C4—22no—
698C22×C4—22no—
699C22×C4—22no—
700C22×C4—22no—
701C22×C4—22no—
702C22×C4—22no—
703C22×C4—22no—
704C22×C4—22no—
705C22×C4—22no—
706C22×C4—22no—
707C22×C4—22no—
708C22×C4—22no—
709C22×C4—22no—
710C22×C4—22no—
711C22×C4—22no—
712C22×C4—22no—
713C22×C4—22no—
714C22×C4—22no—
715C22×C4—22no—
716C22×C4—22no—
717C22×C4—22no—
718C22×C4—22no—
719C22×C4—22no—
720C22×C4—22no—
721C22×C4—22no—
722C22×C4—22no—
723C22×C4—22no—
724C22×C4—22no—
725C22×C4—22no—
726C22×C4—22no—
727C22×C4—22no—
728C22×C4—22no—
729C22×C4—22no—
730C22×C4—22no—
731C22×C4—22no—
732C22×C4—22no—
733C22×C4—22no—
734C22×C4—22no—
735C22×C4—22no—
736C22×C4—22no—
737C22×C4—22no—
738C22×C4—22no—
739C22×C4—22no—
740C22×C4—22no—
741C22×C4—22no—
742C22×C4—22no—
743C22×C4—22no—
744C22×C4—22no—
745C22×C4—22no—
746C22×C4—22no—
747C22×C4—22no—
748C22×C4—22no—
749C22×C4—22no—
750C22×C4—22no—
751C22×C4—22no—
752C22×C4—22no—
753C22×C4—22no—
754C22×C4—22no—
755C22×C4—22no—
756C22×C4—22no—
757C22×C4—22no—
758C22×C4—22no—
759C22×C4—22no—
760C22×C4—22no—
761C22×C4—22no—
762C22×C4—22no—
763C22×C4—22no—
764C22×C4—22no—
765C22×C4—22no—
766C22×C4—22no—
767C22×C4—22no—
768C22×C4—22no—
769C22×C4—22no—
770C22×C4—22no—
771C22×C4—22no—
772C22×C4—22no—
773C22×C4—22no—
774C22×C4—22no—
775C22×C4—22no—
776C22×C4—22no—
777C22×C4—22no—
778C22×C4—22no—
779C22×C4—22no—
780C22×C4—22no—
781C22×C4—22no—
782C22×C4—22no—
783C22×C4—22no—
784C22×C4—22no—
785C22×C4—22no—
786C22×C4—22no—
787C22×C4—22no—
788C22×C4—22no—
789C22×C4—22no—
790C22×C4—22no—
791C22×C4—22no—
792C22×C4—22no—
793C22×C4—22no—
794C22×C4—22no—
795C22×C4—22no—
796C22×C4—22no—
797C22×C4—22no—
798C22×C4—22no—
799C22×C4—22no—
800C22×C4—22no—
801C22×C4—22no—
802C22×C4—22no—
803C22×C4—22no—
804C22×C4—22no—
805C22×C4—22no—
806C22×C4—22no—
807C22×C4—22no—
808C22×C4—22no—
809C22×C4—22no—
810C22×C4—22no—
811C22×C4—22no—
812C22×C4—22no—
813C22×C4—22no—
814C22×C4—22no—
815C22×C4—22no—
816C22×C4—22no—
817C22×C4—22no—
818C22×C4—22no—
819C22×C4—22no—
820C22×C4—22no—
821C22×C4—22no—
822C22×C4—22no—
823C22×C4—22no—
824C22×C4—22no—
825C22×C4—22no—
826C22×C4—22no—
827C22×C4—22no—
828C22×C4—22no—
829C22×C4—22no—
830C22×C4—41no—
831C22×C4—41no—
832C22×C4—41no—
833C22×C4—41no—
834C22×C4—41no—
835C22×C4—41no—
836C22×C4—41no—
837C22×C4—41no—
838C22×C4—41no—
839C22×C4—41no—
840C22×C4—41no—
841C22×C4—41no—
842C22×C4—41no—
843C22×C4—41no—
844C22×C4—41no—
845C22×C4—41no—
846C22×C4—41no—
847C22×C4—41no—
848C22×C4—41no—
849C22×C4—41no—
850C22×C4—41no—
851C22×C4—41no—
852C22×C4—41no—
853C22×C4—41no—
854C22×C4—41no—
855C22×C4—41no—
856C22×C4—41no—
857C22×C4—41no—
858C22×C4—41no—
859C22×C4—41no—
860C22×C4—41no—
861C22×C4—41no—
862C22×C4—41no—
863C22×C4—41no—
864C22×C4—41no—
865C22×C4—41no—
866C22×C4—41no—
867C22×C4—41no—
868C22×C4—41no—
869C22×C4—41no—
870C22×C4—41no—
871C22×C4—41no—
872C22×C4—41no—
873C22×C4—41no—
874C22×C4—41no—
875C22×C4—41no—
876C22×C4—41no—
877C22×C4—41no—
878C22×C4—41no—
879C22×C4—41no—
880C22×C4—41no—
881C22×C4—41no—
882C22×C4—41no—
883C22×C4—41no—
884C22×C4—41no—
885C22×C4—41no—
886C22×C4—41no—
887C22×C4—41no—
888C22×C4—41no—
889C22×C4—41no—
890C22×C4—41no—
891C22×C4—41no—
892C22×C4—41no—
893C22×C4—41no—
894C22×C4—41no—
895C22×C4—41no—
896C22×C4—41no—
897C22×C4—41no—
898C22×C4—41no—
899C22×C4—41no—
900C22×C4—41no—
901C22×C4—41no—
902C22×C4—41no—
903C22×C4—41no—
904C22×C4—41no—
905C22×C4—41no—
906C22×C4—41no—
907C22×C4—41no—
908C22×C4—41no—
909C22×C4—41no—
910C22×C4—41no—
911C22×C4—41no—
912C22×C4—41no—
913C22×C4—41no—
914C22×C4—41no—
915C22×C4—41no—
916C22×C4—41no—
917C22×C4—41no—
918C22×C4—41no—
919C22×C4—41no—
920C22×C4—41no—
921C22×C4—41no—
922C22×C4—41no—
923C22×C4—41no—
924C22×C4—41no—
925C22×C4—41no—
926C22×C4—41no—
927C22×C4—41no—
928C22×C4—41no—
929C22×C4—41no—
930C22×C4—41no—
931C22×C4—41no—
932C22×C4—41no—
933C22×C4—41no—
934C22×C4—41no—
935C22×C4—41no—
936C22×C4—41no—
937C22×C4—41no—
938C22×C4—41no—
939C22×C4—41no—
940C22×C4—41no—
941C22×C4—41no—
942C22×C4—41no—
943C22×C4—41no—
944C22×C4—41no—
945C22×C4—41no—
946C22×C4—41no—
947C22×C4—41no—
948C22×C4—41no—
949C22×C4—41no—
950C22×C4—41no—
951C22×C4—41no—
952C22×C4—41no—
953C22×C4—41no—
954C22×C4—41no—
955C22×C4—41no—
956C22×C4—41no—
957C22×C4—41no—
958C22×C4—41no—
959C22×C4—41no—
960C22×C4—41no—
961C22×C4—41no—
962C22×C4—41no—
963C22×C4—41no—
964C22×C4—41no—
965C22×C4—41no—
966C22×C4—41no—
967C22×C4—41no—
968C22×C4—41no—
969C22×C4—41no—
970C22×C4—41no—
971C22×C4—41no—
972C22×C4—41no—
973C22×C4—41no—
974C22×C4—41no—
975C22×C4—41no—
976C22×C4—41no—
977C22×C4—41no—
978C22×C4—41no—
979C22×C4—41no—
980C22×C4—41no—
981C22×C4—41no—
982C22×C4—41no—
983C22×C4—41no—
984C22×C4—41no—
985C22×C4—41no—
986C22×C4—41no—
987C22×C4—41no—
988C22×C4—41no—
989C22×C4—41no—
990C22×C4—41no—
991C22×C4—41no—
992C22×C4—41no—
993C22×C4—41no—
994C22×C4—41no—
995C22×C4—41no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—41no—
1003C22×C4—41no—
1004C22×C4—41no—
1005C22×C4—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—41no—
1010C22×C4—41no—
1011C22×C4—41no—
1012C22×C4—41no—
1013C22×C4—41no—
1014C22×C4—41no—
1015C22×C4—41no—
1016C22×C4—41no—
1017C22×C4—41no—
1018C22×C4—41no—
1019C22×C4—41no—
1020C22×C4—41no—
1021C22×C4—41no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—41no—
1027C22×C4—41no—
1028C22×C4—41no—
1029C22×C4—41no—
1030C22×C4—41no—
1031C22×C4—41no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—41no—
1036C22×C4—41no—
1037C22×C4—41no—
1038C22×C4—41no—
1039C22×C4—41no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—41no—
1043C22×C4—41no—
1044C22×C4—41no—
1045C22×C4—41no—
1046C22×C4—41no—
1047C22×C4—41no—
1048C22×C4—41no—
1049C22×C4—41no—
1050C22×C4—41no—
1051C22×C4—41no—
1052C22×C4—41no—
1053C22×C4—41no—
1054C22×C4—41no—
1055C22×C4—41no—
1056C22×C4—41no—
1057C22×C4—41no—
1058C22×C4—41no—
1059C22×C4—41no—
1060C22×C4—41no—
1061C22×C4—41no—
1062C22×C4—41no—
1063C22×C4—41no—
1064C22×C4—41no—
1065C22×C4—41no—
1066C22×C4—41no—
1067C22×C4—41no—
1068C22×C4—41no—
1069C22×C4—41no—
1070C22×C4—41no—
1071C22×C4—41no—
1072C22×C4—41no—
1073C22×C4—41no—
1074C22×C4—41no—
1075C22×C4—41no—
1076C22×C4—41no—
1077C22×C4—41no—
1078C22×C4—41no—
1079C22×C4—41no—
1080C22×C4—41no—
1081C22×C4—41no—
1082C22×C4—41no—
1083C22×C4—41no—
1084C22×C4—41no—
1085C22×C4—41no—
1086C22×C4—41no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—41no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4C2×C22⋊C414yes—
1107C22×C4C2×C22⋊C414yes—
1108C22×C4C2×C22⋊C414yes—
1109C22×C4C2×C4⋊C414yes—
1110C22×C4C2×C4⋊C414yes—
1111C22×C4C2×C4⋊C414yes—
1112C22×C4#11714yes—
1113C22×C4C4×D414yes—
1114C22×C4C4×D414yes—
1115C22×C4C4×Q814yes—
1116C22×C4C4×Q814yes—
1117C22×C4C4×Q814yes—
1118C22×C4#12014yes—
1119C22×C4#12114yes—
1120C22×C4#12114yes—
1121C22×C4C22⋊Q814yes—
1122C22×C4C22⋊Q814yes—
1123C22×C4C22⋊Q814yes—
1124C22×C4C22⋊Q814yes—
1125C22×C4C22⋊Q814yes—
1126C22×C4C22⋊Q814yes—
1127C22×C4C22⋊Q814yes—
1128C22×C4#12314yes—
1129C22×C4#12414yes—
1130C22×C4C4⋊Q814yes—
1131C22×C4C4⋊Q814yes—
1132C4⋊C4—416no—
1133C4⋊C4—416no—
1134C4⋊C4—416no—
1135C4⋊C4—416no—
1136C4⋊C4—416no—
1137C42—416no—
1138C42—416no—
1139C23C22×C22⋊C411yescharacteristic
1140C23C22×C4⋊C411yescharacteristic
1141C23C2×#11711yescharacteristic
1142C23C2×C4×D411yescharacteristic
1143C23C2×C4×D411yescharacteristic
1144C23C2×C4×Q811yescharacteristic
1145C23C2×C4×Q811yescharacteristic
1146C23C2×C4×Q811yescharacteristic
1147C23C4×#4111yescharacteristic
1148C23#51811yescharacteristic
1149C23#51811yescharacteristic
1150C23#51911yescharacteristic
1151C23#52011yescharacteristic
1152C23#52011yescharacteristic
1153C23#52011yescharacteristic
1154C23C2×#12011yescharacteristic
1155C23C2×#12111yescharacteristic
1156C23C2×#12111yescharacteristic
1157C23C2×C22⋊Q811yescharacteristic
1158C23C2×C22⋊Q811yescharacteristic
1159C23C2×C22⋊Q811yescharacteristic
1160C23C2×C22⋊Q811yescharacteristic
1161C23C2×C22⋊Q811yescharacteristic
1162C23C2×C22⋊Q811yescharacteristic
1163C23C2×C22⋊Q811yescharacteristic
1164C23C2×#12311yescharacteristic
1165C23#52511yescharacteristic
1166C23C2×#12411yescharacteristic
1167C23#52911yescharacteristic
1168C23#52911yescharacteristic
1169C23#52911yescharacteristic
1170C23C2×C4⋊Q811yescharacteristic
1171C23C2×C4⋊Q811yescharacteristic
1172C23#53211yescharacteristic
1173C23#53311yescharacteristic
1174C23#53311yescharacteristic
1175C23#53311yescharacteristic
1176C23#53311yescharacteristic
1177C23#53311yescharacteristic
1178C23#53411yescharacteristic
1179C23#53411yescharacteristic
1180C23#53511yescharacteristic
1181C23#53511yescharacteristic
1182C23#53611yescharacteristic
1183C23#53611yescharacteristic
1184C23#53611yescharacteristic
1185C23#53711yescharacteristic
1186C23#53711yescharacteristic
1187C23#53711yescharacteristic
1188C23#53811yescharacteristic
1189C23#53811yescharacteristic
1190C23#53811yescharacteristic
1191C23#53811yescharacteristic
1192C23#53911yescharacteristic
1193C23#53911yescharacteristic
1194C23#54111yescharacteristic
1195C23#54111yescharacteristic
1196C23#54111yescharacteristic
1197C23#54211yescharacteristic
1198C23#54211yescharacteristic
1199C23#54211yescharacteristic
1200C23#54211yescharacteristic
1201C23#54211yescharacteristic
1202C23#54211yescharacteristic
1203C23#54211yescharacteristic
1204C23#54211yescharacteristic
1205C23#54211yescharacteristic
1206C23#54311yescharacteristic
1207C23#54311yescharacteristic
1208C23#54311yescharacteristic
1209C23#54311yescharacteristic
1210C23#54411yescharacteristic
1211C23#54411yescharacteristic
1212C23#54411yescharacteristic
1213C23#54411yescharacteristic
1214C23D4211yescharacteristic
1215C23D4211yescharacteristic
1216C23D4211yescharacteristic
1217C23D4211yescharacteristic
1218C23#54611yescharacteristic
1219C23#54611yescharacteristic
1220C23#54611yescharacteristic
1221C23#54611yescharacteristic
1222C23#54611yescharacteristic
1223C23#54611yescharacteristic
1224C23#54611yescharacteristic
1225C23#54611yescharacteristic
1226C23#54611yescharacteristic
1227C23#54611yescharacteristic
1228C23#54611yescharacteristic
1229C23#54611yescharacteristic
1230C23#54611yescharacteristic
1231C23#54711yescharacteristic
1232C23#54711yescharacteristic
1233C23#54711yescharacteristic
1234C23#54811yescharacteristic
1235C23#54811yescharacteristic
1236C23#54811yescharacteristic
1237C23#54811yescharacteristic
1238C23#54811yescharacteristic
1239C23D4×Q811yescharacteristic
1240C23D4×Q811yescharacteristic
1241C23D4×Q811yescharacteristic
1242C23D4×Q811yescharacteristic
1243C23D4×Q811yescharacteristic
1244C23D4×Q811yescharacteristic
1245C23D4×Q811yescharacteristic
1246C23D4×Q811yescharacteristic
1247C23#55011yescharacteristic
1248C23#55011yescharacteristic
1249C23#55011yescharacteristic
1250C23#55111yescharacteristic
1251C23#55111yescharacteristic
1252C23#55111yescharacteristic
1253C23#55111yescharacteristic
1254C23#55111yescharacteristic
1255C23#55111yescharacteristic
1256C23#55211yescharacteristic
1257C23#55211yescharacteristic
1258C23#55411yescharacteristic
1259C23#55411yescharacteristic
1260C23#55411yescharacteristic
1261C23#55411yescharacteristic
1262C23#55411yescharacteristic
1263C23#55411yescharacteristic
1264C23#55411yescharacteristic
1265C23#55411yescharacteristic
1266C23#55511yescharacteristic
1267C23#55611yescharacteristic
1268C23#55611yescharacteristic
1269C23#55611yescharacteristic
1270C23#55611yescharacteristic
1271C23#55711yescharacteristic
1272C23#55711yescharacteristic
1273C23#55711yescharacteristic
1274C23#55711yescharacteristic
1275C23#55711yescharacteristic
1276C23#55711yescharacteristic
1277C23#55711yescharacteristic
1278C23#55711yescharacteristic
1279C23Q8211yescharacteristic
1280C23Q8211yescharacteristic
1281C23Q8211yescharacteristic
1282C23Q8211yescharacteristic
1283C23#55911yescharacteristic
1284C23#55911yescharacteristic
1285C23#55911yescharacteristic
1286C23H(3,𝔽4)11yescharacteristic
1287C23#56211yescharacteristic
1288C23#56211yescharacteristic
1289C23#56211yescharacteristic
1290C23#56211yescharacteristic
1291C23#56311yescharacteristic
1292C23#56311yescharacteristic
1293C23#56311yescharacteristic
1294Q8—464no—
1295C2×C4—24no—
1296C2×C4—24no—
1297C2×C4—24no—
1298C2×C4—24no—
1299C2×C4—24no—
1300C2×C4—24no—
1301C2×C4—24no—
1302C2×C4—24no—
1303C2×C4—24no—
1304C2×C4—24no—
1305C2×C4—24no—
1306C2×C4—24no—
1307C2×C4—24no—
1308C2×C4—24no—
1309C2×C4—24no—
1310C2×C4—24no—
1311C2×C4—24no—
1312C2×C4—24no—
1313C2×C4—24no—
1314C2×C4—24no—
1315C2×C4—24no—
1316C2×C4—24no—
1317C2×C4—24no—
1318C2×C4—24no—
1319C2×C4—24no—
1320C2×C4—24no—
1321C2×C4—24no—
1322C2×C4—24no—
1323C2×C4—24no—
1324C2×C4—24no—
1325C2×C4—24no—
1326C2×C4—24no—
1327C2×C4—24no—
1328C2×C4—24no—
1329C2×C4—24no—
1330C2×C4—24no—
1331C2×C4—24no—
1332C2×C4—24no—
1333C2×C4—24no—
1334C2×C4—24no—
1335C2×C4—24no—
1336C2×C4—24no—
1337C2×C4—24no—
1338C2×C4—24no—
1339C2×C4—24no—
1340C2×C4—24no—
1341C2×C4—24no—
1342C2×C4—24no—
1343C2×C4—24no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—24no—
1351C2×C4—24no—
1352C2×C4—42no—
1353C2×C4—42no—
1354C2×C4—42no—
1355C2×C4—42no—
1356C2×C4—42no—
1357C2×C4—42no—
1358C2×C4—42no—
1359C2×C4—42no—
1360C2×C4—42no—
1361C2×C4—42no—
1362C2×C4—42no—
1363C2×C4—42no—
1364C2×C4—42no—
1365C2×C4—42no—
1366C2×C4—42no—
1367C2×C4—42no—
1368C2×C4—42no—
1369C2×C4—42no—
1370C2×C4—42no—
1371C2×C4—42no—
1372C2×C4—42no—
1373C2×C4—42no—
1374C2×C4—42no—
1375C2×C4—42no—
1376C2×C4—42no—
1377C2×C4—42no—
1378C2×C4—42no—
1379C2×C4—42no—
1380C2×C4—42no—
1381C2×C4—42no—
1382C2×C4—42no—
1383C2×C4—42no—
1384C2×C4—42no—
1385C2×C4—42no—
1386C2×C4—42no—
1387C2×C4—42no—
1388C2×C4—42no—
1389C2×C4—42no—
1390C2×C4—42no—
1391C2×C4—42no—
1392C2×C4—42no—
1393C2×C4—42no—
1394C2×C4—42no—
1395C2×C4—42no—
1396C2×C4—42no—
1397C2×C4—42no—
1398C2×C4—42no—
1399C2×C4—42no—
1400C2×C4—42no—
1401C2×C4—42no—
1402C2×C4—42no—
1403C2×C4—42no—
1404C2×C4—42no—
1405C2×C4—42no—
1406C2×C4—42no—
1407C2×C4—42no—
1408C2×C4—42no—
1409C2×C4—42no—
1410C2×C4—42no—
1411C2×C4—42no—
1412C2×C4—42no—
1413C2×C4—42no—
1414C2×C4—42no—
1415C2×C4—42no—
1416C2×C4—42no—
1417C2×C4—42no—
1418C2×C4—42no—
1419C2×C4—42no—
1420C2×C4—42no—
1421C2×C4—42no—
1422C2×C4—42no—
1423C2×C4—42no—
1424C2×C4—42no—
1425C2×C4—42no—
1426C2×C4—42no—
1427C2×C4—42no—
1428C2×C4—42no—
1429C2×C4—42no—
1430C2×C4—42no—
1431C2×C4—42no—
1432C2×C4—42no—
1433C2×C4—42no—
1434C2×C4—42no—
1435C2×C4—42no—
1436C2×C4—42no—
1437C2×C4—42no—
1438C2×C4—42no—
1439C2×C4—42no—
1440C2×C4—42no—
1441C2×C4—42no—
1442C2×C4—42no—
1443C2×C4—42no—
1444C2×C4—42no—
1445C2×C4—42no—
1446C2×C4—42no—
1447C2×C4—42no—
1448C2×C4—42no—
1449C2×C4—42no—
1450C2×C4—42no—
1451C2×C4—42no—
1452C2×C4—42no—
1453C2×C4—42no—
1454C2×C4—42no—
1455C2×C4—42no—
1456C2×C4—42no—
1457C2×C4—42no—
1458C2×C4—42no—
1459C2×C4—42no—
1460C2×C4—42no—
1461C2×C4—81no—
1462C2×C4—81no—
1463C2×C4—81no—
1464C2×C4—81no—
1465C2×C4—81no—
1466C2×C4—81no—
1467C2×C4—81no—
1468C2×C4—81no—
1469C2×C4—81no—
1470C2×C4—81no—
1471C2×C4—81no—
1472C2×C4—81no—
1473C2×C4—81no—
1474C2×C4—81no—
1475C2×C4—81no—
1476C2×C4—81no—
1477C2×C4—81no—
1478C2×C4—81no—
1479C2×C4—81no—
1480C2×C4—81no—
1481C2×C4—81no—
1482C2×C4—81no—
1483C2×C4—81no—
1484C2×C4—81no—
1485C2×C4—81no—
1486C2×C4—81no—
1487C2×C4—81no—
1488C2×C4—81no—
1489C2×C4—81no—
1490C2×C4—81no—
1491C2×C4—81no—
1492C2×C4—81no—
1493C2×C4—81no—
1494C2×C4—81no—
1495C2×C4—81no—
1496C2×C4—81no—
1497C2×C4—81no—
1498C2×C4—81no—
1499C2×C4—81no—
1500C2×C4—81no—
1501C2×C4—81no—
1502C2×C4—81no—
1503C2×C4—81no—
1504C2×C4—81no—
1505C2×C4—81no—
1506C2×C4—81no—
1507C2×C4—81no—
1508C2×C4—81no—
1509C2×C4—81no—
1510C2×C4—81no—
1511C2×C4—81no—
1512C2×C4—81no—
1513C2×C4—81no—
1514C2×C4—81no—
1515C2×C4—81no—
1516C2×C4—81no—
1517C2×C4#38018yes—
1518C2×C4#38518yes—
1519C2×C4#39118yescomplemented
1520C22C2×#38011yescharacteristic
1521C22C2×#38511yescharacteristic
1522C22C2×#39111yescharacteristic
1523C22#229511yescharacteristic
1524C22C4×C22⋊Q811yescharacteristic
1525C22C4×C4⋊Q811yescharacteristic
1526C22#231111yescharacteristic
1527C22#231511yescharacteristic
1528C22#232011yescharacteristic
1529C22#232311yescharacteristic
1530C22#232611yescharacteristic
1531C22#232911yescharacteristic
1532C22#232911yescharacteristic
1533C22#233111yescharacteristic
1534C22#233711yescharacteristic
1535C22D4×C22⋊C411yescharacteristic
1536C22D4×C22⋊C411yescharacteristic
1537C22#233911yescharacteristic
1538C22Q8×C22⋊C411yescharacteristic
1539C22#234211yescharacteristic
1540C22#234211yescharacteristic
1541C22Q8×C4⋊C411yescharacteristic
1542C22Q8×C4⋊C411yescharacteristic
1543C22Q8×C4⋊C411yescharacteristic
1544C22#235111yescharacteristic
1545C22#235511yescharacteristic
1546C22#235511yescharacteristic
1547C22#236011yescharacteristic
1548C22#236011yescharacteristic
1549C22#236511yescharacteristic
1550C22#236711yescharacteristic
1551C22#236811yescharacteristic
1552C22#236911yescharacteristic
1553C22#237811yescharacteristic
1554C22#237911yescharacteristic
1555C22#240711yescharacteristic
1556C22#240911yescharacteristic
1557C22#241011yescharacteristic
1558C22#241011yescharacteristic
1559C22#241211yescharacteristic
1560C22#241211yescharacteristic
1561C22#242311yescharacteristic
1562C22#242311yescharacteristic
1563C22#242611yescharacteristic
1564C22#242611yescharacteristic
1565C22#242911yescharacteristic
1566C22#242911yescharacteristic
1567C22#243111yescharacteristic
1568C22#243411yescharacteristic
1569C22#243711yescharacteristic
1570C22#243711yescharacteristic
1571C22#243711yescharacteristic
1572C22#243711yescharacteristic
1573C22#243711yescharacteristic
1574C22#243811yescharacteristic
1575C22#243911yescharacteristic
1576C22#244011yescharacteristic
1577C22#244011yescharacteristic
1578C22#244611yescharacteristic
1579C22#244811yescharacteristic
1580C22#244911yescharacteristic
1581C22#245011yescharacteristic
1582C22#245011yescharacteristic
1583C22#245111yescharacteristic
1584C22#245111yescharacteristic
1585C22#245111yescharacteristic
1586C22#245111yescharacteristic
1587C22#245111yescharacteristic
1588C22#245111yescharacteristic
1589C22#245111yescharacteristic
1590C22#245211yescharacteristic
1591C22#245311yescharacteristic
1592C22#245311yescharacteristic
1593C22#245311yescharacteristic
1594C22#245911yescharacteristic
1595C22#246511yescharacteristic
1596C22#247211yescharacteristic
1597C22#248811yescharacteristic
1598C22#249111yescharacteristic
1599C22#249211yescharacteristic
1600C22#252011yescharacteristic
1601C22#253211yescharacteristic
1602C22#253811yescharacteristic
1603C22#253811yescharacteristic
1604C22#254611yescharacteristic
1605C22#254811yescharacteristic
1606C22#254911yescharacteristic
1607C22#254911yescharacteristic
1608C22#255011yescharacteristic
1609C22#255011yescharacteristic
1610C22#255111yescharacteristic
1611C22#255711yescharacteristic
1612C22#256011yescharacteristic
1613C22#256511yescharacteristic
1614C22#256711yescharacteristic
1615C22#256711yescharacteristic
1616C22#256811yescharacteristic
1617C22#258111yescharacteristic
1618C22#258211yescharacteristic
1619C22#258211yescharacteristic
1620C22#258211yescharacteristic
1621C22#258611yescharacteristic
1622C22#258811yescharacteristic
1623C22#258911yescharacteristic
1624C22#258911yescharacteristic
1625C22#260511yescharacteristic
1626C22#260711yescharacteristic
1627C22#267011yescharacteristic
1628C22#267211yescharacteristic
1629C22#267411yescharacteristic
1630C22#267611yescharacteristic
1631C22#267611yescharacteristic
1632C22#267711yescharacteristic
1633C22#268111yescharacteristic
1634C22#268311yescharacteristic
1635C22#268911yescharacteristic
1636C22#269011yescharacteristic
1637C22#269211yescharacteristic
1638C22#269211yescharacteristic
1639C22#270011yescharacteristic
1640C22#270011yescharacteristic
1641C22#270211yescharacteristic
1642C22#270411yescharacteristic
1643C22#270411yescharacteristic
1644C22#271011yescharacteristic
1645C22#271011yescharacteristic
1646C22#271211yescharacteristic
1647C22#271211yescharacteristic
1648C22#271311yescharacteristic
1649C22#271311yescharacteristic
1650C22#271511yescharacteristic
1651C22#272911yescharacteristic
1652C22#272911yescharacteristic
1653C22#273011yescharacteristic
1654C22#273011yescharacteristic
1655C22#273211yescharacteristic
1656C22#273211yescharacteristic
1657C22#273311yescharacteristic
1658C22#273411yescharacteristic
1659C22#275411yescharacteristic
1660C22#275511yescharacteristic
1661C22#275511yescharacteristic
1662C22#275911yescharacteristic
1663C22#276211yescharacteristic
1664C22#276311yescharacteristic
1665C22#279811yescharacteristic
1666C22#279911yescharacteristic
1667C22#279911yescharacteristic
1668C22#279911yescharacteristic
1669C22#280611yescharacteristic
1670C22#280611yescharacteristic
1671C22#280611yescharacteristic
1672C22#280611yescharacteristic
1673C22#280911yescharacteristic
1674C22#281111yescharacteristic
1675C4—28no—
1676C4—28no—
1677C4—28no—
1678C4—44no—
1679C4—44no—
1680C4—44no—
1681C4—44no—
1682C4—44no—
1683C4—82no—
1684C4—82no—
1685C4—82no—
1686C4—82no—
1687C4—82no—
1688C4—82no—
1689C4—82no—
1690C2#1387711yescharacteristic
1691C2#1392611yescharacteristic
1692C2#1393511yescharacteristic
1693C2#1397611yescharacteristic
1694C2#1401711yescharacteristic
1695C2#1405211yescharacteristic
1696C2#1405311yescharacteristic
1697C2#1405911yescharacteristic
1698C2#1409111yescharacteristic
1699C2#1436211yescharacteristic
1700C2#1437811yescharacteristic
1701C2#1442111yescharacteristic
1702C2#1443011yescharacteristic
1703C2#1446611yescharacteristic
1704C2#1446711yescharacteristic
1705C2#1527611yescharacteristic
1706C2#1528011yescharacteristic
1707C2#1531711yescharacteristic
1708C2#1531811yescharacteristic
1709C2#1533211yescharacteristic
1710C2#1533311yescharacteristic
1711C2#1533311yescharacteristic
1712C2#1533711yescharacteristic
1713C2#1549911yescharacteristic
1714C2#1550011yescharacteristic
1715C2#1550911yescharacteristic
1716C2#1551011yescharacteristic
1717C2#1585111yescharacteristic
1718C2#1585211yescharacteristic
1719C2#1596311yescharacteristic
1720C2#1596411yescharacteristic
subgroupG/H
center, Frattini, socle, prime radical, cosocleC25C24
commutatorC24C23×C4
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C25 ▷ C1

Complements

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

NH ≅ G/Ntype
29. C2×#391C4semidirect
126. C22×C4⋊C4Q8semidirect
222. C2×#95Q8semidirect
223. C2×#95Q8semidirect
259. C22×Q8C4⋊C4semidirect
1519. C2×C4#391semidirect

Maximal subgroups

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

subgroupindex
C22×#3912
C2×#14462
C2×#14442
C2×#14412
C2×#14362
C2×C4⋊#952
#75572
#75562
#75542