Finite Group Databasebeta

← #157141

Subgroups — #157141

Order 512.

3020 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#391C211yesmaximal, characteristic
2C2×#1446C211yesmaximal, characteristic
3C2×#1446C211yesmaximal, characteristic
4C2×#1443C211yesmaximal, characteristic
5C2×#1442C211yesmaximal, characteristic
6C2×#1436C211yesmaximal, characteristic
7#7557C211yesmaximal, characteristic
8#7557C211yesmaximal, characteristic
9#7557C211yesmaximal, characteristic
10#7556C211yesmaximal, characteristic
11#7556C211yesmaximal, characteristic
12#7556C211yesmaximal, characteristic
13#7556C211yesmaximal, characteristic
14#7556C211yesmaximal, characteristic
15#7554C211yesmaximal, characteristic
16C24×Q8C2211yescharacteristic
17C23×C4⋊C4C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C23×C42C2211yescharacteristic
20C2×#391—24no—
21C2×#391—24no—
22C2×#391—24no—
23C22×#95C2211yescharacteristic
24C22×#95C2211yescharacteristic
25C22×#95C2211yescharacteristic
26C22×#95C2211yescharacteristic
27C22×#95C2211yescharacteristic
28C22×#95C2211yescharacteristic
29C22×#95C2211yescharacteristic
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
54#1446—24no—
55#1446—24no—
56#1443—24no—
57#1442—24no—
58#1436—24no—
59C23×Q8—22no—
60C23×Q8—22no—
61C23×Q8—22no—
62C23×Q8—22no—
63C23×Q8—22no—
64C23×Q8—22no—
65C23×Q8—22no—
66C23×Q8—22no—
67C23×Q8—22no—
68C23×Q8—22no—
69C23×Q8—41no—
70C23×Q8—41no—
71C23×Q8—41no—
72C23×Q8—41no—
73C23×Q8D414yes—
74C24×C4C2311yescharacteristic
75C24×C4C2311yescharacteristic
76C24×C4C2311yescharacteristic
77C24×C4C2311yescharacteristic
78C24×C4C2311yescharacteristic
79C24×C4C2311yescharacteristic
80C24×C4C2311yescharacteristic
81C24×C4C2311yescharacteristic
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C22×C4⋊C4—22no—
90C22×C4⋊C4—22no—
91C22×C4⋊C4—22no—
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—41no—
100C22×C4⋊C4—41no—
101C22×C4⋊C4—41no—
102C22×C4⋊C4—41no—
103C22×C42—22no—
104C22×C42—22no—
105C22×C42—22no—
106C22×C42—22no—
107C22×C42—22no—
108C22×C42—41no—
109C22×C42—41no—
110#391—232no—
111C2×#95—22no—
112C2×#95—22no—
113C2×#95—22no—
114C2×#95—22no—
115C2×#95—22no—
116C2×#95—22no—
117C2×#95—22no—
118C2×#95—22no—
119C2×#95—22no—
120C2×#95—22no—
121C2×#95—22no—
122C2×#95—22no—
123C2×#95—22no—
124C2×#95—22no—
125C2×#95—22no—
126C2×#95—22no—
127C2×#95—22no—
128C2×#95—22no—
129C2×#95—22no—
130C2×#95—22no—
131C2×#95—22no—
132C2×#95—22no—
133C2×#95—22no—
134C2×#95—22no—
135C2×#95—22no—
136C2×#95—22no—
137C2×#95—22no—
138C2×#95—22no—
139C2×#95—22no—
140C2×#95—22no—
141C2×#95—22no—
142C2×#95—22no—
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—41no—
174C2×#95—41no—
175C2×#95—41no—
176C2×#95—41no—
177C2×#95—41no—
178C2×#95—41no—
179C2×#95—41no—
180C2×#95—41no—
181C2×#95—41no—
182C2×#95—41no—
183C2×#95—41no—
184C2×#95—41no—
185C2×#95—41no—
186C2×#95—41no—
187C2×#95—41no—
188C2×#95—41no—
189C2×#95—41no—
190C2×#95—41no—
191C2×#95—41no—
192C2×#95—41no—
193C2×#95—41no—
194C2×#95—41no—
195C2×#95—41no—
196C2×#95—41no—
197C2×#95—41no—
198C2×#95—41no—
199C2×#95D414yes—
200C2×#95D414yes—
201C2×#95D414yes—
202C2×#95Q814yescomplemented
203C2×#95Q814yescomplemented
204C25C2411yescharacteristic
205C22×Q8—28no—
206C22×Q8—28no—
207C22×Q8—28no—
208C22×Q8—28no—
209C22×Q8—28no—
210C22×Q8—28no—
211C22×Q8—28no—
212C22×Q8—28no—
213C22×Q8—28no—
214C22×Q8—44no—
215C22×Q8—44no—
216C22×Q8—44no—
217C22×Q8—44no—
218C22×Q8—44no—
219C22×Q8—44no—
220C22×Q8—44no—
221C22×Q8—44no—
222C22×Q8—44no—
223C22×Q8—44no—
224C22×Q8—44no—
225C22×Q8—44no—
226C22×Q8—44no—
227C22×Q8—44no—
228C22×Q8—44no—
229C22×Q8—44no—
230C22×Q8—44no—
231C22×Q8—44no—
232C22×Q8—44no—
233C22×Q8—44no—
234C22×Q8—44no—
235C22×Q8—44no—
236C22×Q8—44no—
237C22×Q8—44no—
238C22×Q8—44no—
239C22×Q8—44no—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—21no—
244C23×C4—21no—
245C23×C4—21no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
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×C4C2×D412yes—
435C23×C4C2×D412yes—
436C23×C4C2×D412yes—
437C23×C4C2×D412yes—
438C23×C4C2×D412yes—
439C23×C4C2×D412yes—
440C23×C4C2×D412yes—
441C23×C4C2×D412yes—
442C23×C4C2×D412yes—
443C23×C4C2×D412yes—
444C23×C4C2×D412yes—
445C23×C4C2×D412yes—
446C23×C4C2×Q812yes—
447C23×C4C2×Q812yes—
448C23×C4C2×Q812yes—
449C23×C4C2×Q812yes—
450C23×C4C2×Q812yes—
451C23×C4C2×Q812yes—
452C23×C4#4112yes—
453C23×C4#4112yes—
454C23×C4#4112yes—
455C23×C4#4112yes—
456C23×C4#4112yes—
457C23×C4#4112yes—
458C23×C4#4112yes—
459C23×C4#4112yes—
460C23×C4#4112yes—
461C23×C4#4112yes—
462C23×C4#4112yes—
463C23×C4#4112yes—
464C23×C4#4112yes—
465C2×C4⋊C4—28no—
466C2×C4⋊C4—28no—
467C2×C4⋊C4—44no—
468C2×C4⋊C4—44no—
469C2×C4⋊C4—44no—
470C2×C4⋊C4—44no—
471C2×C4⋊C4—44no—
472C2×C4⋊C4—44no—
473C2×C4⋊C4—44no—
474C2×C4⋊C4—44no—
475C2×C4⋊C4—44no—
476C2×C4⋊C4—44no—
477C2×C4⋊C4—44no—
478C2×C4⋊C4—44no—
479C2×C42—28no—
480C2×C42—44no—
481C2×C42—44no—
482C2×C42—44no—
483C2×C42—44no—
484C2×C42—44no—
485C2×C42—44no—
486#95—28no—
487#95—28no—
488#95—28no—
489#95—28no—
490#95—28no—
491#95—28no—
492#95—28no—
493#95—28no—
494#95—44no—
495#95—44no—
496#95—44no—
497#95—44no—
498#95—44no—
499#95—44no—
500#95—44no—
501#95—44no—
502#95—44no—
503#95—44no—
504#95—44no—
505#95—44no—
506#95—44no—
507#95—44no—
508#95—44no—
509#95—44no—
510#95—44no—
511#95—44no—
512#95—44no—
513#95—44no—
514#95—44no—
515#95—44no—
516#95—44no—
517C24C22×D411yescharacteristic
518C24C22×D411yescharacteristic
519C24C22×D411yescharacteristic
520C24C22×D411yescharacteristic
521C24C22×Q811yescharacteristic
522C24C22×Q811yescharacteristic
523C24C2×#4111yescharacteristic
524C24C2×#4111yescharacteristic
525C24C2×#4111yescharacteristic
526C24C2×#4111yescharacteristic
527C24C2×#4111yescharacteristic
528C24C2×#4111yescharacteristic
529C24C2×#4111yescharacteristic
530C24C2×#4111yescharacteristic
531C24C2×#4111yescharacteristic
532C24C2×#4111yescharacteristic
533C24C2×#4111yescharacteristic
534C24C2×#4111yescharacteristic
535C24C2×#4111yescharacteristic
536C24H(5,𝔽2)11yescharacteristic
537C24H(5,𝔽2)11yescharacteristic
538C24H(5,𝔽2)11yescharacteristic
539C24H(5,𝔽2)11yescharacteristic
540C24H(5,𝔽2)11yescharacteristic
541C24H(5,𝔽2)11yescharacteristic
542C242−1+411yescharacteristic
543C242−1+411yescharacteristic
544C242−1+411yescharacteristic
545C242−1+411yescharacteristic
546C242−1+411yescharacteristic
547C242−1+411yescharacteristic
548C2×Q8—232no—
549C2×Q8—416no—
550C2×Q8—416no—
551C2×Q8—416no—
552C2×Q8—416no—
553C2×Q8—416no—
554C2×Q8—416no—
555C2×Q8—416no—
556C2×Q8—416no—
557C2×Q8—416no—
558C2×Q8—416no—
559C2×Q8—416no—
560C2×Q8—416no—
561C2×Q8—416no—
562C2×Q8—416no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—22no—
566C22×C4—22no—
567C22×C4—22no—
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—22no—
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—22no—
578C22×C4—22no—
579C22×C4—22no—
580C22×C4—22no—
581C22×C4—22no—
582C22×C4—22no—
583C22×C4—22no—
584C22×C4—22no—
585C22×C4—22no—
586C22×C4—22no—
587C22×C4—22no—
588C22×C4—22no—
589C22×C4—22no—
590C22×C4—22no—
591C22×C4—22no—
592C22×C4—22no—
593C22×C4—22no—
594C22×C4—22no—
595C22×C4—22no—
596C22×C4—22no—
597C22×C4—22no—
598C22×C4—22no—
599C22×C4—22no—
600C22×C4—22no—
601C22×C4—22no—
602C22×C4—22no—
603C22×C4—22no—
604C22×C4—22no—
605C22×C4—22no—
606C22×C4—22no—
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—41no—
745C22×C4—41no—
746C22×C4—41no—
747C22×C4—41no—
748C22×C4—41no—
749C22×C4—41no—
750C22×C4—41no—
751C22×C4—41no—
752C22×C4—41no—
753C22×C4—41no—
754C22×C4—41no—
755C22×C4—41no—
756C22×C4—41no—
757C22×C4—41no—
758C22×C4—41no—
759C22×C4—41no—
760C22×C4—41no—
761C22×C4—41no—
762C22×C4—41no—
763C22×C4—41no—
764C22×C4—41no—
765C22×C4—41no—
766C22×C4—41no—
767C22×C4—41no—
768C22×C4—41no—
769C22×C4—41no—
770C22×C4—41no—
771C22×C4—41no—
772C22×C4—41no—
773C22×C4—41no—
774C22×C4—41no—
775C22×C4—41no—
776C22×C4—41no—
777C22×C4—41no—
778C22×C4—41no—
779C22×C4—41no—
780C22×C4—41no—
781C22×C4—41no—
782C22×C4—41no—
783C22×C4—41no—
784C22×C4—41no—
785C22×C4—41no—
786C22×C4—41no—
787C22×C4—41no—
788C22×C4—41no—
789C22×C4—41no—
790C22×C4—41no—
791C22×C4—41no—
792C22×C4—41no—
793C22×C4—41no—
794C22×C4—41no—
795C22×C4—41no—
796C22×C4—41no—
797C22×C4—41no—
798C22×C4—41no—
799C22×C4—41no—
800C22×C4—41no—
801C22×C4—41no—
802C22×C4—41no—
803C22×C4—41no—
804C22×C4—41no—
805C22×C4—41no—
806C22×C4—41no—
807C22×C4—41no—
808C22×C4—41no—
809C22×C4—41no—
810C22×C4—41no—
811C22×C4—41no—
812C22×C4—41no—
813C22×C4—41no—
814C22×C4—41no—
815C22×C4—41no—
816C22×C4—41no—
817C22×C4—41no—
818C22×C4—41no—
819C22×C4—41no—
820C22×C4—41no—
821C22×C4—41no—
822C22×C4—41no—
823C22×C4—41no—
824C22×C4—41no—
825C22×C4—41no—
826C22×C4—41no—
827C22×C4—41no—
828C22×C4—41no—
829C22×C4—41no—
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#12014yes—
1077C22×C4#12114yes—
1078C22×C4C22⋊Q814yes—
1079C22×C4#12314yes—
1080C22×C4#12314yes—
1081C22×C4#12314yes—
1082C22×C4#12314yes—
1083C22×C4#12414yes—
1084C22×C4#12414yes—
1085C22×C4#12614yes—
1086C22×C4#12614yes—
1087C22×C4C4⋊Q814yes—
1088C4⋊C4—416no—
1089C4⋊C4—416no—
1090C42—416no—
1091C23C2×#12011yescharacteristic
1092C23C2×#12111yescharacteristic
1093C23C2×C22⋊Q811yescharacteristic
1094C23C2×#12311yescharacteristic
1095C23C2×#12311yescharacteristic
1096C23C2×#12311yescharacteristic
1097C23C2×#12311yescharacteristic
1098C23#52511yescharacteristic
1099C23#52511yescharacteristic
1100C23#52511yescharacteristic
1101C23#52511yescharacteristic
1102C23#52511yescharacteristic
1103C23#52511yescharacteristic
1104C23#52511yescharacteristic
1105C23C2×#12411yescharacteristic
1106C23C2×#12411yescharacteristic
1107C23C2×#12611yescharacteristic
1108C23C2×#12611yescharacteristic
1109C23#52911yescharacteristic
1110C23#52911yescharacteristic
1111C23#52911yescharacteristic
1112C23#52911yescharacteristic
1113C23#52911yescharacteristic
1114C23#52911yescharacteristic
1115C23#52911yescharacteristic
1116C23C2×C4⋊Q811yescharacteristic
1117C23#53311yescharacteristic
1118C23#53311yescharacteristic
1119C23#53311yescharacteristic
1120C23#53311yescharacteristic
1121C23#53311yescharacteristic
1122C23#53311yescharacteristic
1123C23#53311yescharacteristic
1124C23#53411yescharacteristic
1125C23#53411yescharacteristic
1126C23#53611yescharacteristic
1127C23#53611yescharacteristic
1128C23#53611yescharacteristic
1129C23#53711yescharacteristic
1130C23#53711yescharacteristic
1131C23#53711yescharacteristic
1132C23#53811yescharacteristic
1133C23#53811yescharacteristic
1134C23#53811yescharacteristic
1135C23#53811yescharacteristic
1136C23#53811yescharacteristic
1137C23#53811yescharacteristic
1138C23#53811yescharacteristic
1139C23#53911yescharacteristic
1140C23#53911yescharacteristic
1141C23#53911yescharacteristic
1142C23#54111yescharacteristic
1143C23#54111yescharacteristic
1144C23#54111yescharacteristic
1145C23#54111yescharacteristic
1146C23#54111yescharacteristic
1147C23#54111yescharacteristic
1148C23#54111yescharacteristic
1149C23#54211yescharacteristic
1150C23#54211yescharacteristic
1151C23#54211yescharacteristic
1152C23#54211yescharacteristic
1153C23#54211yescharacteristic
1154C23#54211yescharacteristic
1155C23#54211yescharacteristic
1156C23#54211yescharacteristic
1157C23#54211yescharacteristic
1158C23#54211yescharacteristic
1159C23#54211yescharacteristic
1160C23#54211yescharacteristic
1161C23#54211yescharacteristic
1162C23#54311yescharacteristic
1163C23#54411yescharacteristic
1164C23#54411yescharacteristic
1165C23#54411yescharacteristic
1166C23D4211yescharacteristic
1167C23D4211yescharacteristic
1168C23#54611yescharacteristic
1169C23#54611yescharacteristic
1170C23#54611yescharacteristic
1171C23#54611yescharacteristic
1172C23#54611yescharacteristic
1173C23#54611yescharacteristic
1174C23#54611yescharacteristic
1175C23#54611yescharacteristic
1176C23#54611yescharacteristic
1177C23#54611yescharacteristic
1178C23#54611yescharacteristic
1179C23#54711yescharacteristic
1180C23#54711yescharacteristic
1181C23#54711yescharacteristic
1182C23#54811yescharacteristic
1183C23#54811yescharacteristic
1184C23#54811yescharacteristic
1185C23#54811yescharacteristic
1186C23#54811yescharacteristic
1187C23#54811yescharacteristic
1188C23#54811yescharacteristic
1189C23D4×Q811yescharacteristic
1190C23D4×Q811yescharacteristic
1191C23D4×Q811yescharacteristic
1192C23D4×Q811yescharacteristic
1193C23D4×Q811yescharacteristic
1194C23#55011yescharacteristic
1195C23#55011yescharacteristic
1196C23#55111yescharacteristic
1197C23#55111yescharacteristic
1198C23#55111yescharacteristic
1199C23#55111yescharacteristic
1200C23#55111yescharacteristic
1201C23#55111yescharacteristic
1202C23#55111yescharacteristic
1203C23#55111yescharacteristic
1204C23#55211yescharacteristic
1205C23#55211yescharacteristic
1206C23#55211yescharacteristic
1207C23#55211yescharacteristic
1208C23#55211yescharacteristic
1209C23#55211yescharacteristic
1210C23#55411yescharacteristic
1211C23#55411yescharacteristic
1212C23#55411yescharacteristic
1213C23#55411yescharacteristic
1214C23#55411yescharacteristic
1215C23#55411yescharacteristic
1216C23#55411yescharacteristic
1217C23#55511yescharacteristic
1218C23#55511yescharacteristic
1219C23#55611yescharacteristic
1220C23#55611yescharacteristic
1221C23#55611yescharacteristic
1222C23#55611yescharacteristic
1223C23#55611yescharacteristic
1224C23#55611yescharacteristic
1225C23#55611yescharacteristic
1226C23#55611yescharacteristic
1227C23#55611yescharacteristic
1228C23#55611yescharacteristic
1229C23#55611yescharacteristic
1230C23#55711yescharacteristic
1231C23#55711yescharacteristic
1232C23#55711yescharacteristic
1233C23#55711yescharacteristic
1234C23#55911yescharacteristic
1235C23#55911yescharacteristic
1236C23#55911yescharacteristic
1237C23#55911yescharacteristic
1238C23H(3,𝔽4)11yescharacteristic
1239C23#56211yescharacteristic
1240C23#56211yescharacteristic
1241C23#56311yescharacteristic
1242C23#56311yescharacteristic
1243C23#56311yescharacteristic
1244C23#56311yescharacteristic
1245C23#56311yescharacteristic
1246Q8—464no—
1247C2×C4—24no—
1248C2×C4—24no—
1249C2×C4—24no—
1250C2×C4—24no—
1251C2×C4—24no—
1252C2×C4—24no—
1253C2×C4—24no—
1254C2×C4—24no—
1255C2×C4—24no—
1256C2×C4—24no—
1257C2×C4—24no—
1258C2×C4—24no—
1259C2×C4—24no—
1260C2×C4—24no—
1261C2×C4—24no—
1262C2×C4—24no—
1263C2×C4—24no—
1264C2×C4—24no—
1265C2×C4—24no—
1266C2×C4—24no—
1267C2×C4—24no—
1268C2×C4—24no—
1269C2×C4—24no—
1270C2×C4—24no—
1271C2×C4—24no—
1272C2×C4—24no—
1273C2×C4—24no—
1274C2×C4—24no—
1275C2×C4—24no—
1276C2×C4—42no—
1277C2×C4—42no—
1278C2×C4—42no—
1279C2×C4—42no—
1280C2×C4—42no—
1281C2×C4—42no—
1282C2×C4—42no—
1283C2×C4—42no—
1284C2×C4—42no—
1285C2×C4—42no—
1286C2×C4—42no—
1287C2×C4—42no—
1288C2×C4—42no—
1289C2×C4—42no—
1290C2×C4—42no—
1291C2×C4—42no—
1292C2×C4—42no—
1293C2×C4—42no—
1294C2×C4—42no—
1295C2×C4—42no—
1296C2×C4—42no—
1297C2×C4—42no—
1298C2×C4—42no—
1299C2×C4—42no—
1300C2×C4—42no—
1301C2×C4—42no—
1302C2×C4—42no—
1303C2×C4—42no—
1304C2×C4—42no—
1305C2×C4—42no—
1306C2×C4—42no—
1307C2×C4—42no—
1308C2×C4—42no—
1309C2×C4—42no—
1310C2×C4—42no—
1311C2×C4—42no—
1312C2×C4—42no—
1313C2×C4—42no—
1314C2×C4—42no—
1315C2×C4—42no—
1316C2×C4—42no—
1317C2×C4—42no—
1318C2×C4—42no—
1319C2×C4—42no—
1320C2×C4—42no—
1321C2×C4—42no—
1322C2×C4—42no—
1323C2×C4—42no—
1324C2×C4—42no—
1325C2×C4—42no—
1326C2×C4—42no—
1327C2×C4—42no—
1328C2×C4—42no—
1329C2×C4—42no—
1330C2×C4—42no—
1331C2×C4—42no—
1332C2×C4—42no—
1333C2×C4—42no—
1334C2×C4—42no—
1335C2×C4—42no—
1336C2×C4—42no—
1337C2×C4—42no—
1338C2×C4—42no—
1339C2×C4—42no—
1340C2×C4—42no—
1341C2×C4—42no—
1342C2×C4—42no—
1343C2×C4—42no—
1344C2×C4—42no—
1345C2×C4—42no—
1346C2×C4—42no—
1347C2×C4—42no—
1348C2×C4—42no—
1349C2×C4—42no—
1350C2×C4—42no—
1351C2×C4—42no—
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—81no—
1400C2×C4—81no—
1401C2×C4—81no—
1402C2×C4—81no—
1403C2×C4—81no—
1404C2×C4—81no—
1405C2×C4—81no—
1406C2×C4—81no—
1407C2×C4—81no—
1408C2×C4—81no—
1409C2×C4—81no—
1410C2×C4—81no—
1411C2×C4—81no—
1412C2×C4—81no—
1413C2×C4—81no—
1414C2×C4—81no—
1415C2×C4—81no—
1416C2×C4—81no—
1417C2×C4—81no—
1418C2×C4—81no—
1419C2×C4—81no—
1420C2×C4—81no—
1421C2×C4—81no—
1422C2×C4—81no—
1423C2×C4—81no—
1424C2×C4—81no—
1425C2×C4—81no—
1426C2×C4—81no—
1427C2×C4—81no—
1428C2×C4—81no—
1429C2×C4—81no—
1430C2×C4—81no—
1431C2×C4—81no—
1432C2×C4—81no—
1433C2×C4—81no—
1434C2×C4—81no—
1435C2×C4—81no—
1436C2×C4—81no—
1437C2×C4—81no—
1438C2×C4—81no—
1439C2×C4—81no—
1440C2×C4—81no—
1441C2×C4—81no—
1442C2×C4—81no—
1443C2×C4—81no—
1444C2×C4—81no—
1445C2×C4—81no—
1446C2×C4—81no—
1447C2×C4—81no—
1448C2×C4—81no—
1449C2×C4—81no—
1450C2×C4—81no—
1451C2×C4—81no—
1452C2×C4—81no—
1453C2×C4—81no—
1454C2×C4—81no—
1455C2×C4—81no—
1456C2×C4—81no—
1457C2×C4—81no—
1458C2×C4—81no—
1459C2×C4—81no—
1460C2×C4—81no—
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#39718yes—
1472C22C2×#39711yescharacteristic
1473C22#239811yescharacteristic
1474C22#239911yescharacteristic
1475C22#240511yescharacteristic
1476C22#240711yescharacteristic
1477C22#240711yescharacteristic
1478C22#241011yescharacteristic
1479C22#241211yescharacteristic
1480C22#241811yescharacteristic
1481C22#241811yescharacteristic
1482C22#242111yescharacteristic
1483C22#242111yescharacteristic
1484C22#242311yescharacteristic
1485C22#242311yescharacteristic
1486C22#242611yescharacteristic
1487C22#242911yescharacteristic
1488C22#243411yescharacteristic
1489C22#243611yescharacteristic
1490C22#243911yescharacteristic
1491C22#244011yescharacteristic
1492C22#244611yescharacteristic
1493C22#244611yescharacteristic
1494C22#244611yescharacteristic
1495C22#244611yescharacteristic
1496C22#244611yescharacteristic
1497C22#244711yescharacteristic
1498C22#244811yescharacteristic
1499C22#244811yescharacteristic
1500C22#244811yescharacteristic
1501C22#244811yescharacteristic
1502C22#244911yescharacteristic
1503C22#245011yescharacteristic
1504C22#245811yescharacteristic
1505C22#245811yescharacteristic
1506C22#245911yescharacteristic
1507C22#245911yescharacteristic
1508C22#246211yescharacteristic
1509C22#246211yescharacteristic
1510C22#246311yescharacteristic
1511C22#246511yescharacteristic
1512C22#246511yescharacteristic
1513C22#246511yescharacteristic
1514C22#246511yescharacteristic
1515C22#246911yescharacteristic
1516C22#246911yescharacteristic
1517C22#247211yescharacteristic
1518C22#247211yescharacteristic
1519C22#247211yescharacteristic
1520C22#247411yescharacteristic
1521C22#247411yescharacteristic
1522C22#247411yescharacteristic
1523C22#247711yescharacteristic
1524C22#248011yescharacteristic
1525C22#248011yescharacteristic
1526C22#248011yescharacteristic
1527C22#248011yescharacteristic
1528C22#248311yescharacteristic
1529C22#248811yescharacteristic
1530C22#248911yescharacteristic
1531C22#249211yescharacteristic
1532C22#249211yescharacteristic
1533C22#249211yescharacteristic
1534C22#251111yescharacteristic
1535C22#251111yescharacteristic
1536C22#251111yescharacteristic
1537C22#251411yescharacteristic
1538C22#251411yescharacteristic
1539C22#251411yescharacteristic
1540C22#252011yescharacteristic
1541C22#252011yescharacteristic
1542C22#252311yescharacteristic
1543C22#252711yescharacteristic
1544C22#253211yescharacteristic
1545C22#253611yescharacteristic
1546C22#253811yescharacteristic
1547C22#254911yescharacteristic
1548C22#255011yescharacteristic
1549C22#255011yescharacteristic
1550C22#256811yescharacteristic
1551C22#257411yescharacteristic
1552C22#257411yescharacteristic
1553C22#258411yescharacteristic
1554C22#258811yescharacteristic
1555C22#258811yescharacteristic
1556C22#258911yescharacteristic
1557C22#258911yescharacteristic
1558C22#259211yescharacteristic
1559C22#259211yescharacteristic
1560C22#259911yescharacteristic
1561C22#259911yescharacteristic
1562C22#260511yescharacteristic
1563C22#260711yescharacteristic
1564C22#261211yescharacteristic
1565C22#262211yescharacteristic
1566C22#262511yescharacteristic
1567C22#263711yescharacteristic
1568C22#263711yescharacteristic
1569C22#264511yescharacteristic
1570C22#265011yescharacteristic
1571C22#265311yescharacteristic
1572C22#266511yescharacteristic
1573C22#266611yescharacteristic
1574C22#267211yescharacteristic
1575C22#267411yescharacteristic
1576C22#268111yescharacteristic
1577C22#268311yescharacteristic
1578C22#268711yescharacteristic
1579C22#268911yescharacteristic
1580C22#269811yescharacteristic
1581C22#270211yescharacteristic
1582C22#270211yescharacteristic
1583C22#270411yescharacteristic
1584C22#271211yescharacteristic
1585C22#271211yescharacteristic
1586C22#271211yescharacteristic
1587C22#271311yescharacteristic
1588C22#271311yescharacteristic
1589C22#271311yescharacteristic
1590C22#271511yescharacteristic
1591C22#271511yescharacteristic
1592C22#271611yescharacteristic
1593C22#271611yescharacteristic
1594C22#272811yescharacteristic
1595C22#272911yescharacteristic
1596C22#272911yescharacteristic
1597C22#272911yescharacteristic
1598C22#273011yescharacteristic
1599C22#273111yescharacteristic
1600C22#273211yescharacteristic
1601C22#273311yescharacteristic
1602C22#275111yescharacteristic
1603C22#275411yescharacteristic
1604C22#275511yescharacteristic
1605C22#275811yescharacteristic
1606C22#275811yescharacteristic
1607C22#275911yescharacteristic
1608C22#275911yescharacteristic
1609C22#275911yescharacteristic
1610C22#276211yescharacteristic
1611C22#276311yescharacteristic
1612C22#277411yescharacteristic
1613C22#277511yescharacteristic
1614C22#277511yescharacteristic
1615C22#278811yescharacteristic
1616C22#278911yescharacteristic
1617C22#279811yescharacteristic
1618C22#279811yescharacteristic
1619C22#279911yescharacteristic
1620C22#280411yescharacteristic
1621C22#280511yescharacteristic
1622C22#283211yescharacteristic
1623C22#283311yescharacteristic
1624C22#284911yescharacteristic
1625C22#285511yescharacteristic
1626C22#286311yescharacteristic
1627C4—28no—
1628C4—44no—
1629C4—44no—
1630C4—44no—
1631C4—44no—
1632C4—44no—
1633C4—82no—
1634C4—82no—
1635C4—82no—
1636C4—82no—
1637C4—82no—
1638C4—82no—
1639C4—82no—
1640C4—82no—
1641C4—82no—
1642C2#1472711yescharacteristic
1643C2#1479711yescharacteristic
1644C2#1480011yescharacteristic
1645C2#1487911yescharacteristic
1646C2#1488211yescharacteristic
1647C2#1499211yescharacteristic
1648C2#1501311yescharacteristic
1649C2#1518611yescharacteristic
1650C2#1519211yescharacteristic
1651C2#1527511yescharacteristic
1652C2#1527611yescharacteristic
1653C2#1543711yescharacteristic
1654C2#1545911yescharacteristic
1655C2#1562411yescharacteristic
1656C2#1563611yescharacteristic
1657C2#1569011yescharacteristic
1658C2#1569111yescharacteristic
1659C2#1578311yescharacteristic
1660C2#1585111yescharacteristic
1661C2#1585311yescharacteristic
1662C2#1603711yescharacteristic
1663C2#1606311yescharacteristic
1664C2#1609411yescharacteristic
1665C2#1610811yescharacteristic
1666C2#1610911yescharacteristic
1667C2#1628011yescharacteristic
1668C2#1628111yescharacteristic
1669C2#1638911yescharacteristic
1670C2#1639011yescharacteristic
1671C2#1660911yescharacteristic
1672C2#1661111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, prime radical, cosocleC25C24
LCSG ▷ C25 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C25 ▷ C1

Complements

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

NH ≅ G/Ntype
202. C2×#95Q8semidirect
203. C2×#95Q8semidirect

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×#14432
C2×#14422
C2×#14362
#75572
#75562
#75542