Finite Group Databasebeta

← #158334

Subgroups — #158334

Order 512.

4072 conjugacy classes of subgroups.

The subgroup lattice has 2087 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#395C211yesmaximal, characteristic, complemented
2C22×#393C211yesmaximal, characteristic
3C2×#1446C211yesmaximal, characteristic, complemented
4C2×#1442C211yesmaximal, characteristic, complemented
5C2×#1439C211yesmaximal, characteristic
6C2×#1439C211yesmaximal, characteristic
7C2×#1439C211yesmaximal, characteristic
8C2×#1439C211yesmaximal, characteristic
9C2×#1437C211yesmaximal, characteristic
10C2×C4⋊#95C211yesmaximal, characteristic, complemented
11#7557C211yesmaximal, characteristic, complemented
12#7557C211yesmaximal, characteristic, complemented
13#7556C211yesmaximal, characteristic, complemented
14#7555C211yesmaximal, characteristic
15#7554C211yesmaximal, characteristic, complemented
16C24×Q8C2211yescharacteristic
17C23×C4⋊C4C2211yescharacteristic
18C23×C4⋊C4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C23×C22⋊C4C2211yescharacteristic
22C23×C22⋊C4C2211yescharacteristic
23C23×C22⋊C4C2211yescharacteristic
24C23×C22⋊C4C2211yescharacteristic
25C23×C22⋊C4C2211yescharacteristic
26C23×C22⋊C4C2211yescharacteristic
27C23×C22⋊C4C2211yescharacteristic
28C23×C42C2211yescharacteristic
29C2×#395—24no—
30C2×#395—24no—
31C2×#395—24no—
32C2×#393—24no—
33C2×#393—24no—
34C2×#393—24no—
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#1442—24no—
59#1439—24no—
60#1439—24no—
61#1439—24no—
62#1439—24no—
63#1437—24no—
64C4⋊#95—24no—
65C26C2311yescharacteristic
66C23×Q8—22no—
67C23×Q8—22no—
68C23×Q8—22no—
69C23×Q8—22no—
70C23×Q8—22no—
71C23×Q8—22no—
72C23×Q8—22no—
73C23×Q8—22no—
74C23×Q8—22no—
75C23×Q8—41no—
76C23×Q8—41no—
77C23×Q8—41no—
78C23×Q8—41no—
79C23×Q8—41no—
80C23×Q8—41no—
81C24×C4C2311yescharacteristic
82C24×C4C2311yescharacteristic
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2311yescharacteristic
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2311yescharacteristic
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
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—22no—
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⋊C4D414yes—
123C22×C22⋊C4—22no—
124C22×C22⋊C4—22no—
125C22×C22⋊C4—22no—
126C22×C22⋊C4—22no—
127C22×C22⋊C4—22no—
128C22×C22⋊C4—22no—
129C22×C22⋊C4—22no—
130C22×C22⋊C4—22no—
131C22×C22⋊C4—22no—
132C22×C22⋊C4—22no—
133C22×C22⋊C4—22no—
134C22×C22⋊C4—22no—
135C22×C22⋊C4—22no—
136C22×C22⋊C4—22no—
137C22×C22⋊C4—22no—
138C22×C22⋊C4—22no—
139C22×C22⋊C4—22no—
140C22×C22⋊C4—22no—
141C22×C22⋊C4—22no—
142C22×C22⋊C4—22no—
143C22×C22⋊C4—22no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4—22no—
146C22×C22⋊C4—22no—
147C22×C22⋊C4—22no—
148C22×C22⋊C4—22no—
149C22×C22⋊C4—22no—
150C22×C22⋊C4—22no—
151C22×C22⋊C4—22no—
152C22×C22⋊C4—22no—
153C22×C22⋊C4—22no—
154C22×C22⋊C4—22no—
155C22×C22⋊C4—41no—
156C22×C22⋊C4—41no—
157C22×C22⋊C4—41no—
158C22×C22⋊C4—41no—
159C22×C22⋊C4—41no—
160C22×C22⋊C4—41no—
161C22×C22⋊C4—41no—
162C22×C22⋊C4—41no—
163C22×C22⋊C4—41no—
164C22×C22⋊C4—41no—
165C22×C22⋊C4—41no—
166C22×C22⋊C4—41no—
167C22×C22⋊C4—41no—
168C22×C22⋊C4—41no—
169C22×C22⋊C4D414yes—
170C22×C22⋊C4Q814yescomplemented
171C22×C22⋊C4Q814yescomplemented
172C22×C42—22no—
173C22×C42—22no—
174C22×C42—22no—
175C22×C42—22no—
176C22×C42—22no—
177C22×C42—41no—
178C22×C42—41no—
179#395—232no—
180#393—232no—
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—22no—
193C2×#95—22no—
194C2×#95—22no—
195C2×#95—22no—
196C2×#95—22no—
197C2×#95—22no—
198C2×#95—22no—
199C2×#95—22no—
200C2×#95—22no—
201C2×#95—22no—
202C2×#95—22no—
203C2×#95—22no—
204C2×#95—22no—
205C2×#95—22no—
206C2×#95—22no—
207C2×#95—22no—
208C2×#95—22no—
209C2×#95—22no—
210C2×#95—22no—
211C2×#95—22no—
212C2×#95—22no—
213C2×#95—22no—
214C2×#95—22no—
215C2×#95—22no—
216C2×#95—22no—
217C2×#95—22no—
218C2×#95—22no—
219C2×#95—22no—
220C2×#95—22no—
221C2×#95—22no—
222C2×#95—22no—
223C2×#95—22no—
224C2×#95—22no—
225C2×#95—22no—
226C2×#95—22no—
227C2×#95—22no—
228C2×#95—22no—
229C2×#95—22no—
230C2×#95—41no—
231C2×#95—41no—
232C2×#95—41no—
233C2×#95—41no—
234C2×#95—41no—
235C2×#95—41no—
236C2×#95—41no—
237C2×#95—41no—
238C2×#95—41no—
239C2×#95—41no—
240C2×#95—41no—
241C2×#95—41no—
242C2×#95D414yes—
243C2×#95D414yes—
244C2×#95D414yes—
245C2×#95D414yes—
246C2×#95D414yes—
247C25—21no—
248C25—21no—
249C25—21no—
250C25—21no—
251C25—21no—
252C25—21no—
253C25—21no—
254C25—21no—
255C25—21no—
256C25—21no—
257C25—21no—
258C25—21no—
259C25—21no—
260C25—21no—
261C25—21no—
262C25—21no—
263C25—21no—
264C25—21no—
265C25—21no—
266C25—21no—
267C25—21no—
268C25—21no—
269C25—21no—
270C25—21no—
271C25—21no—
272C25—21no—
273C25—21no—
274C25—21no—
275C25C2×D412yes—
276C25C2×Q812yes—
277C25C2×Q812yes—
278C25C2411yescharacteristic
279C22×Q8—28no—
280C22×Q8—28no—
281C22×Q8—28no—
282C22×Q8—44no—
283C22×Q8—44no—
284C22×Q8—44no—
285C22×Q8—44no—
286C22×Q8—44no—
287C22×Q8—44no—
288C22×Q8—44no—
289C22×Q8—44no—
290C22×Q8—44no—
291C22×Q8—44no—
292C22×Q8—44no—
293C22×Q8—44no—
294C22×Q8—44no—
295C22×Q8—44no—
296C22×Q8—44no—
297C22×Q8—44no—
298C22×Q8—44no—
299C22×Q8—44no—
300C22×Q8—44no—
301C22×Q8—44no—
302C22×Q8—44no—
303C22×Q8—44no—
304C22×Q8—44no—
305C22×Q8—44no—
306C22×Q8—44no—
307C22×Q8—44no—
308C22×Q8—44no—
309C22×Q8—44no—
310C22×Q8—44no—
311C22×Q8—44no—
312C22×Q8—44no—
313C22×Q8—44no—
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×C4—21no—
443C23×C4—21no—
444C23×C4—21no—
445C23×C4—21no—
446C23×C4—21no—
447C23×C4—21no—
448C23×C4—21no—
449C23×C4—21no—
450C23×C4—21no—
451C23×C4—21no—
452C23×C4—21no—
453C23×C4—21no—
454C23×C4—21no—
455C23×C4—21no—
456C23×C4—21no—
457C23×C4—21no—
458C23×C4—21no—
459C23×C4—21no—
460C23×C4—21no—
461C23×C4—21no—
462C23×C4—21no—
463C23×C4—21no—
464C23×C4—21no—
465C23×C4—21no—
466C23×C4—21no—
467C23×C4—21no—
468C23×C4—21no—
469C23×C4—21no—
470C23×C4—21no—
471C23×C4—21no—
472C23×C4—21no—
473C23×C4—21no—
474C23×C4—21no—
475C23×C4—21no—
476C23×C4—21no—
477C23×C4—21no—
478C23×C4—21no—
479C23×C4—21no—
480C23×C4—21no—
481C23×C4—21no—
482C23×C4—21no—
483C23×C4—21no—
484C23×C4—21no—
485C23×C4—21no—
486C23×C4—21no—
487C23×C4—21no—
488C23×C4—21no—
489C23×C4—21no—
490C23×C4C2×D412yes—
491C23×C4C2×D412yes—
492C23×C4C2×D412yes—
493C23×C4C2×D412yes—
494C23×C4C2×D412yes—
495C23×C4C2×D412yes—
496C23×C4C2×D412yes—
497C23×C4C2×D412yes—
498C23×C4C2×D412yes—
499C23×C4C2×D412yes—
500C23×C4C2×D412yes—
501C23×C4C2×D412yes—
502C23×C4C2×D412yes—
503C23×C4C2×D412yes—
504C23×C4C2×D412yes—
505C23×C4C2×D412yes—
506C23×C4C2×D412yes—
507C23×C4C2×D412yes—
508C23×C4C2×D412yes—
509C23×C4C2×D412yes—
510C23×C4C2×Q812yes—
511C23×C4C2×Q812yes—
512C23×C4C2×Q812yes—
513C23×C4C2×Q812yes—
514C23×C4#4112yes—
515C23×C4#4112yes—
516C23×C4#4112yes—
517C23×C4#4112yes—
518C23×C4#4112yes—
519C23×C4#4112yes—
520C23×C4#4112yes—
521C23×C4#4112yes—
522C23×C4#4112yes—
523C23×C4#4112yes—
524C2×C4⋊C4—28no—
525C2×C4⋊C4—28no—
526C2×C4⋊C4—28no—
527C2×C4⋊C4—28no—
528C2×C4⋊C4—28no—
529C2×C4⋊C4—44no—
530C2×C4⋊C4—44no—
531C2×C4⋊C4—44no—
532C2×C4⋊C4—44no—
533C2×C4⋊C4—44no—
534C2×C4⋊C4—44no—
535C2×C4⋊C4—44no—
536C2×C4⋊C4—44no—
537C2×C4⋊C4—44no—
538C2×C4⋊C4—44no—
539C2×C4⋊C4—44no—
540C2×C4⋊C4—44no—
541C2×C4⋊C4—44no—
542C2×C4⋊C4—44no—
543C2×C4⋊C4—44no—
544C2×C4⋊C4—44no—
545C2×C4⋊C4—44no—
546C2×C4⋊C4—44no—
547C2×C4⋊C4—44no—
548C2×C4⋊C4—44no—
549C2×C4⋊C4—44no—
550C2×C4⋊C4—44no—
551C2×C4⋊C4—44no—
552C2×C22⋊C4—28no—
553C2×C22⋊C4—28no—
554C2×C22⋊C4—28no—
555C2×C22⋊C4—28no—
556C2×C22⋊C4—28no—
557C2×C22⋊C4—28no—
558C2×C22⋊C4—28no—
559C2×C22⋊C4—28no—
560C2×C22⋊C4—28no—
561C2×C22⋊C4—28no—
562C2×C22⋊C4—44no—
563C2×C22⋊C4—44no—
564C2×C22⋊C4—44no—
565C2×C22⋊C4—44no—
566C2×C22⋊C4—44no—
567C2×C22⋊C4—44no—
568C2×C22⋊C4—44no—
569C2×C22⋊C4—44no—
570C2×C22⋊C4—44no—
571C2×C22⋊C4—44no—
572C2×C22⋊C4—44no—
573C2×C22⋊C4—44no—
574C2×C22⋊C4—44no—
575C2×C22⋊C4—44no—
576C2×C22⋊C4—44no—
577C2×C22⋊C4—44no—
578C2×C22⋊C4—44no—
579C2×C22⋊C4—44no—
580C2×C22⋊C4—44no—
581C2×C22⋊C4—44no—
582C2×C22⋊C4—44no—
583C2×C22⋊C4—44no—
584C2×C22⋊C4—44no—
585C2×C22⋊C4—44no—
586C2×C22⋊C4—44no—
587C2×C22⋊C4—44no—
588C2×C22⋊C4—44no—
589C2×C22⋊C4—44no—
590C2×C22⋊C4—44no—
591C2×C22⋊C4—44no—
592C2×C22⋊C4—44no—
593C2×C22⋊C4—44no—
594C2×C22⋊C4—44no—
595C2×C22⋊C4—44no—
596C2×C22⋊C4—44no—
597C2×C22⋊C4—44no—
598C2×C22⋊C4—44no—
599C2×C22⋊C4—44no—
600C2×C22⋊C4—44no—
601C2×C42—28no—
602C2×C42—44no—
603C2×C42—44no—
604C2×C42—44no—
605C2×C42—44no—
606C2×C42—44no—
607C2×C42—44no—
608#95—28no—
609#95—28no—
610#95—28no—
611#95—28no—
612#95—28no—
613#95—28no—
614#95—28no—
615#95—44no—
616#95—44no—
617#95—44no—
618#95—44no—
619#95—44no—
620#95—44no—
621#95—44no—
622#95—44no—
623#95—44no—
624#95—44no—
625#95—44no—
626#95—44no—
627#95—44no—
628#95—44no—
629#95—44no—
630C24—22no—
631C24—22no—
632C24—22no—
633C24—22no—
634C24—22no—
635C24—22no—
636C24—22no—
637C24—22no—
638C24—22no—
639C24—22no—
640C24—22no—
641C24—22no—
642C24—22no—
643C24—22no—
644C24—22no—
645C24—22no—
646C24—22no—
647C24—22no—
648C24—22no—
649C24—22no—
650C24—22no—
651C24—22no—
652C24—22no—
653C24—22no—
654C24—22no—
655C24—22no—
656C24—22no—
657C24—22no—
658C24—22no—
659C24—22no—
660C24—22no—
661C24—22no—
662C24—22no—
663C24—22no—
664C24—22no—
665C24—22no—
666C24—22no—
667C24—22no—
668C24—22no—
669C24—22no—
670C24—22no—
671C24—22no—
672C24—41no—
673C24—41no—
674C24—41no—
675C24—41no—
676C24—41no—
677C24—41no—
678C24—41no—
679C24—41no—
680C24—41no—
681C24—41no—
682C24—41no—
683C24—41no—
684C24—41no—
685C24—41no—
686C24—41no—
687C24—41no—
688C24—41no—
689C24—41no—
690C24—41no—
691C24—41no—
692C24—41no—
693C24—41no—
694C24—41no—
695C24—41no—
696C24—41no—
697C24—41no—
698C24—41no—
699C24—41no—
700C24—41no—
701C24—41no—
702C24—41no—
703C24—41no—
704C24—41no—
705C24—41no—
706C24—41no—
707C24—41no—
708C24—41no—
709C24—41no—
710C24—41no—
711C24—41no—
712C24—41no—
713C24—41no—
714C24—41no—
715C24—41no—
716C24—41no—
717C24—41no—
718C24—41no—
719C24—41no—
720C24—41no—
721C24—41no—
722C24—41no—
723C24—41no—
724C24—41no—
725C24—41no—
726C24—41no—
727C24—41no—
728C24—41no—
729C24—41no—
730C24—41no—
731C24—41no—
732C24—41no—
733C24—41no—
734C24—41no—
735C24—41no—
736C24—41no—
737C24—41no—
738C24—41no—
739C24—41no—
740C24—41no—
741C24—41no—
742C24—41no—
743C24—41no—
744C24—41no—
745C24—41no—
746C24—41no—
747C24—41no—
748C24—41no—
749C24—41no—
750C24—41no—
751C24—41no—
752C24—41no—
753C24—41no—
754C24—41no—
755C24—41no—
756C24—41no—
757C24—41no—
758C24—41no—
759C24—41no—
760C24—41no—
761C24—41no—
762C24—41no—
763C24—41no—
764C24—41no—
765C24—41no—
766C24—41no—
767C24—41no—
768C24—41no—
769C24—41no—
770C24—41no—
771C24—41no—
772C24—41no—
773C24—41no—
774C24—41no—
775C24—41no—
776C24—41no—
777C24—41no—
778C24—41no—
779C24—41no—
780C24—41no—
781C24—41no—
782C24—41no—
783C24—41no—
784C24C4⋊Q814yes—
785C24C22×D411yescharacteristic
786C24C22×D411yescharacteristic
787C24C22×D411yescharacteristic
788C24C22×D411yescharacteristic
789C24C22×D411yescharacteristic
790C24C22×D411yescharacteristic
791C24C22×D411yescharacteristic
792C24C22×Q811yescharacteristic
793C24C22×Q811yescharacteristic
794C24C2×#4111yescharacteristic
795C24C2×#4111yescharacteristic
796C24C2×#4111yescharacteristic
797C24C2×#4111yescharacteristic
798C24C2×#4111yescharacteristic
799C24C2×#4111yescharacteristic
800C24C2×#4111yescharacteristic
801C24C2×#4111yescharacteristic
802C24C2×#4111yescharacteristic
803C24C2×#4111yescharacteristic
804C24H(5,𝔽2)11yescharacteristic
805C24H(5,𝔽2)11yescharacteristic
806C24H(5,𝔽2)11yescharacteristic
807C24H(5,𝔽2)11yescharacteristic
808C24H(5,𝔽2)11yescharacteristic
809C24H(5,𝔽2)11yescharacteristic
810C24H(5,𝔽2)11yescharacteristic
811C242−1+411yescharacteristic
812C242−1+411yescharacteristic
813C242−1+411yescharacteristic
814C242−1+411yescharacteristic
815C242−1+411yescharacteristic
816C2×Q8—416no—
817C2×Q8—416no—
818C2×Q8—416no—
819C2×Q8—416no—
820C2×Q8—416no—
821C2×Q8—416no—
822C2×Q8—416no—
823C2×Q8—416no—
824C2×Q8—416no—
825C2×Q8—416no—
826C2×Q8—416no—
827C2×Q8—416no—
828C2×Q8—416no—
829C2×Q8—416no—
830C2×Q8—416no—
831C22×C4—22no—
832C22×C4—22no—
833C22×C4—22no—
834C22×C4—22no—
835C22×C4—22no—
836C22×C4—22no—
837C22×C4—22no—
838C22×C4—22no—
839C22×C4—22no—
840C22×C4—22no—
841C22×C4—22no—
842C22×C4—22no—
843C22×C4—22no—
844C22×C4—22no—
845C22×C4—22no—
846C22×C4—22no—
847C22×C4—22no—
848C22×C4—22no—
849C22×C4—22no—
850C22×C4—22no—
851C22×C4—22no—
852C22×C4—22no—
853C22×C4—22no—
854C22×C4—22no—
855C22×C4—22no—
856C22×C4—22no—
857C22×C4—22no—
858C22×C4—22no—
859C22×C4—22no—
860C22×C4—22no—
861C22×C4—22no—
862C22×C4—22no—
863C22×C4—22no—
864C22×C4—22no—
865C22×C4—22no—
866C22×C4—22no—
867C22×C4—22no—
868C22×C4—22no—
869C22×C4—22no—
870C22×C4—22no—
871C22×C4—22no—
872C22×C4—22no—
873C22×C4—22no—
874C22×C4—22no—
875C22×C4—22no—
876C22×C4—22no—
877C22×C4—22no—
878C22×C4—22no—
879C22×C4—22no—
880C22×C4—22no—
881C22×C4—22no—
882C22×C4—22no—
883C22×C4—22no—
884C22×C4—22no—
885C22×C4—22no—
886C22×C4—22no—
887C22×C4—22no—
888C22×C4—22no—
889C22×C4—22no—
890C22×C4—22no—
891C22×C4—22no—
892C22×C4—22no—
893C22×C4—22no—
894C22×C4—22no—
895C22×C4—22no—
896C22×C4—22no—
897C22×C4—22no—
898C22×C4—22no—
899C22×C4—22no—
900C22×C4—22no—
901C22×C4—22no—
902C22×C4—22no—
903C22×C4—22no—
904C22×C4—22no—
905C22×C4—22no—
906C22×C4—22no—
907C22×C4—22no—
908C22×C4—22no—
909C22×C4—22no—
910C22×C4—22no—
911C22×C4—22no—
912C22×C4—22no—
913C22×C4—22no—
914C22×C4—22no—
915C22×C4—22no—
916C22×C4—22no—
917C22×C4—22no—
918C22×C4—22no—
919C22×C4—22no—
920C22×C4—22no—
921C22×C4—22no—
922C22×C4—22no—
923C22×C4—22no—
924C22×C4—22no—
925C22×C4—22no—
926C22×C4—22no—
927C22×C4—22no—
928C22×C4—22no—
929C22×C4—22no—
930C22×C4—22no—
931C22×C4—22no—
932C22×C4—22no—
933C22×C4—22no—
934C22×C4—22no—
935C22×C4—22no—
936C22×C4—22no—
937C22×C4—22no—
938C22×C4—22no—
939C22×C4—22no—
940C22×C4—22no—
941C22×C4—22no—
942C22×C4—22no—
943C22×C4—22no—
944C22×C4—22no—
945C22×C4—22no—
946C22×C4—22no—
947C22×C4—22no—
948C22×C4—22no—
949C22×C4—22no—
950C22×C4—22no—
951C22×C4—22no—
952C22×C4—22no—
953C22×C4—22no—
954C22×C4—22no—
955C22×C4—22no—
956C22×C4—22no—
957C22×C4—22no—
958C22×C4—22no—
959C22×C4—22no—
960C22×C4—22no—
961C22×C4—22no—
962C22×C4—22no—
963C22×C4—22no—
964C22×C4—22no—
965C22×C4—22no—
966C22×C4—22no—
967C22×C4—22no—
968C22×C4—22no—
969C22×C4—22no—
970C22×C4—22no—
971C22×C4—22no—
972C22×C4—22no—
973C22×C4—22no—
974C22×C4—22no—
975C22×C4—22no—
976C22×C4—22no—
977C22×C4—22no—
978C22×C4—22no—
979C22×C4—22no—
980C22×C4—22no—
981C22×C4—22no—
982C22×C4—22no—
983C22×C4—22no—
984C22×C4—22no—
985C22×C4—22no—
986C22×C4—22no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—22no—
1011C22×C4—22no—
1012C22×C4—22no—
1013C22×C4—22no—
1014C22×C4—22no—
1015C22×C4—22no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—22no—
1019C22×C4—22no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
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×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4#12014yes—
1308C22×C4#12014yes—
1309C22×C4#12114yes—
1310C22×C4#12114yes—
1311C22×C4C22⋊Q814yes—
1312C22×C4C22⋊Q814yes—
1313C22×C4C22⋊Q814yes—
1314C22×C4C22⋊Q814yes—
1315C22×C4C22⋊Q814yes—
1316C22×C4#12414yes—
1317C22×C4#12414yes—
1318C22×C4#12414yes—
1319C22×C4#12414yes—
1320C22×C4#12714yes—
1321C4⋊C4—416no—
1322C4⋊C4—416no—
1323C4⋊C4—416no—
1324C4⋊C4—416no—
1325C22⋊C4—416no—
1326C22⋊C4—416no—
1327C22⋊C4—416no—
1328C22⋊C4—416no—
1329C22⋊C4—416no—
1330C22⋊C4—416no—
1331C22⋊C4—416no—
1332C42—416no—
1333C23—24no—
1334C23—24no—
1335C23—24no—
1336C23—24no—
1337C23—24no—
1338C23—24no—
1339C23—24no—
1340C23—42no—
1341C23—42no—
1342C23—42no—
1343C23—42no—
1344C23—42no—
1345C23—42no—
1346C23—42no—
1347C23—42no—
1348C23—42no—
1349C23—42no—
1350C23—42no—
1351C23—42no—
1352C23—42no—
1353C23—42no—
1354C23—42no—
1355C23—42no—
1356C23—42no—
1357C23—42no—
1358C23—42no—
1359C23—42no—
1360C23—42no—
1361C23—42no—
1362C23—42no—
1363C23—42no—
1364C23—42no—
1365C23—42no—
1366C23—42no—
1367C23—42no—
1368C23—42no—
1369C23—42no—
1370C23—42no—
1371C23—42no—
1372C23—42no—
1373C23—42no—
1374C23—42no—
1375C23—42no—
1376C23—42no—
1377C23—42no—
1378C23—42no—
1379C23—42no—
1380C23—42no—
1381C23—42no—
1382C23—42no—
1383C23—42no—
1384C23—42no—
1385C23—42no—
1386C23—42no—
1387C23—42no—
1388C23—42no—
1389C23—42no—
1390C23—42no—
1391C23—42no—
1392C23—42no—
1393C23—42no—
1394C23—42no—
1395C23—42no—
1396C23—42no—
1397C23—42no—
1398C23—42no—
1399C23—42no—
1400C23—42no—
1401C23—42no—
1402C23—42no—
1403C23—42no—
1404C23—42no—
1405C23—42no—
1406C23—42no—
1407C23—42no—
1408C23—42no—
1409C23—42no—
1410C23—42no—
1411C23—42no—
1412C23—42no—
1413C23—42no—
1414C23—42no—
1415C23—42no—
1416C23—42no—
1417C23—42no—
1418C23—42no—
1419C23—42no—
1420C23—42no—
1421C23—42no—
1422C23—42no—
1423C23—42no—
1424C23—81no—
1425C23—81no—
1426C23—81no—
1427C23—81no—
1428C23—81no—
1429C23—81no—
1430C23—81no—
1431C23—81no—
1432C23—81no—
1433C23—81no—
1434C23—81no—
1435C23—81no—
1436C23—81no—
1437C23—81no—
1438C23—81no—
1439C23—81no—
1440C23—81no—
1441C23—81no—
1442C23—81no—
1443C23—81no—
1444C23—81no—
1445C23—81no—
1446C23—81no—
1447C23—81no—
1448C23—81no—
1449C23—81no—
1450C23—81no—
1451C23—81no—
1452C23—81no—
1453C23—81no—
1454C23—81no—
1455C23—81no—
1456C23—81no—
1457C23—81no—
1458C23—81no—
1459C23—81no—
1460C23—81no—
1461C23—81no—
1462C23—81no—
1463C23—81no—
1464C23—81no—
1465C23—81no—
1466C23—81no—
1467C23—81no—
1468C23—81no—
1469C23—81no—
1470C23—81no—
1471C23—81no—
1472C23—81no—
1473C23—81no—
1474C23—81no—
1475C23—81no—
1476C23—81no—
1477C23—81no—
1478C23—81no—
1479C23—81no—
1480C23—81no—
1481C23—81no—
1482C23—81no—
1483C23—81no—
1484C23—81no—
1485C23—81no—
1486C23—81no—
1487C23—81no—
1488C23C2×#12011yescharacteristic
1489C23C2×#12011yescharacteristic
1490C23C2×#12111yescharacteristic
1491C23C2×#12111yescharacteristic
1492C23C2×C22⋊Q811yescharacteristic
1493C23C2×C22⋊Q811yescharacteristic
1494C23C2×C22⋊Q811yescharacteristic
1495C23C2×C22⋊Q811yescharacteristic
1496C23C2×C22⋊Q811yescharacteristic
1497C23#52511yescharacteristic
1498C23#52511yescharacteristic
1499C23#52511yescharacteristic
1500C23#52511yescharacteristic
1501C23#52511yescharacteristic
1502C23C2×#12411yescharacteristic
1503C23C2×#12411yescharacteristic
1504C23C2×#12411yescharacteristic
1505C23C2×#12411yescharacteristic
1506C23#52911yescharacteristic
1507C23#52911yescharacteristic
1508C23#52911yescharacteristic
1509C23C2×#12711yescharacteristic
1510C23C2×C4⋊Q811yescharacteristic
1511C23#53211yescharacteristic
1512C23#53211yescharacteristic
1513C23#53211yescharacteristic
1514C23#53211yescharacteristic
1515C23#53211yescharacteristic
1516C23#53211yescharacteristic
1517C23#53211yescharacteristic
1518C23#53311yescharacteristic
1519C23#53311yescharacteristic
1520C23#53311yescharacteristic
1521C23#53411yescharacteristic
1522C23#53411yescharacteristic
1523C23#53411yescharacteristic
1524C23#53511yescharacteristic
1525C23#53511yescharacteristic
1526C23#53511yescharacteristic
1527C23#53511yescharacteristic
1528C23#53611yescharacteristic
1529C23#53611yescharacteristic
1530C23#53611yescharacteristic
1531C23#53611yescharacteristic
1532C23#53611yescharacteristic
1533C23#53711yescharacteristic
1534C23#53711yescharacteristic
1535C23#53811yescharacteristic
1536C23#53811yescharacteristic
1537C23#53811yescharacteristic
1538C23#53811yescharacteristic
1539C23#53811yescharacteristic
1540C23#53911yescharacteristic
1541C23#53911yescharacteristic
1542C23#53911yescharacteristic
1543C23#53911yescharacteristic
1544C23#53911yescharacteristic
1545C23#54111yescharacteristic
1546C23#54211yescharacteristic
1547C23#54211yescharacteristic
1548C23#54211yescharacteristic
1549C23#54211yescharacteristic
1550C23#54211yescharacteristic
1551C23#54211yescharacteristic
1552C23#54211yescharacteristic
1553C23#54211yescharacteristic
1554C23#54211yescharacteristic
1555C23#54211yescharacteristic
1556C23#54211yescharacteristic
1557C23#54211yescharacteristic
1558C23#54211yescharacteristic
1559C23#54311yescharacteristic
1560C23#54411yescharacteristic
1561C23#54411yescharacteristic
1562C23#54411yescharacteristic
1563C23D4211yescharacteristic
1564C23D4211yescharacteristic
1565C23D4211yescharacteristic
1566C23D4211yescharacteristic
1567C23D4211yescharacteristic
1568C23D4211yescharacteristic
1569C23D4211yescharacteristic
1570C23D4211yescharacteristic
1571C23D4211yescharacteristic
1572C23D4211yescharacteristic
1573C23#54611yescharacteristic
1574C23#54611yescharacteristic
1575C23#54611yescharacteristic
1576C23#54611yescharacteristic
1577C23#54611yescharacteristic
1578C23#54611yescharacteristic
1579C23#54611yescharacteristic
1580C23#54611yescharacteristic
1581C23#54611yescharacteristic
1582C23#54611yescharacteristic
1583C23#54611yescharacteristic
1584C23#54611yescharacteristic
1585C23#54611yescharacteristic
1586C23#54711yescharacteristic
1587C23#54711yescharacteristic
1588C23#54711yescharacteristic
1589C23#54711yescharacteristic
1590C23#54711yescharacteristic
1591C23#54711yescharacteristic
1592C23#54711yescharacteristic
1593C23#54711yescharacteristic
1594C23#54711yescharacteristic
1595C23#54811yescharacteristic
1596C23#54811yescharacteristic
1597C23#54811yescharacteristic
1598C23#54811yescharacteristic
1599C23#54811yescharacteristic
1600C23#54811yescharacteristic
1601C23#54811yescharacteristic
1602C23D4×Q811yescharacteristic
1603C23D4×Q811yescharacteristic
1604C23D4×Q811yescharacteristic
1605C23D4×Q811yescharacteristic
1606C23D4×Q811yescharacteristic
1607C23D4×Q811yescharacteristic
1608C23D4×Q811yescharacteristic
1609C23#55111yescharacteristic
1610C23#55111yescharacteristic
1611C23#55111yescharacteristic
1612C23#55111yescharacteristic
1613C23#55111yescharacteristic
1614C23#55211yescharacteristic
1615C23#55211yescharacteristic
1616C23#55411yescharacteristic
1617C23#55411yescharacteristic
1618C23#55411yescharacteristic
1619C23#55411yescharacteristic
1620C23#55411yescharacteristic
1621C23#55411yescharacteristic
1622C23#55411yescharacteristic
1623C23#55411yescharacteristic
1624C23#55411yescharacteristic
1625C23#55511yescharacteristic
1626C23#55511yescharacteristic
1627C23#55511yescharacteristic
1628C23#55511yescharacteristic
1629C23#55511yescharacteristic
1630C23#55611yescharacteristic
1631C23#55611yescharacteristic
1632C23#55611yescharacteristic
1633C23#55611yescharacteristic
1634C23#55611yescharacteristic
1635C23#56011yescharacteristic
1636C23H(3,𝔽4)11yescharacteristic
1637C23#56211yescharacteristic
1638C23#56211yescharacteristic
1639C23#56311yescharacteristic
1640C23#56311yescharacteristic
1641C23#56311yescharacteristic
1642C23#56311yescharacteristic
1643Q8—464no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—42no—
1682C2×C4—42no—
1683C2×C4—42no—
1684C2×C4—42no—
1685C2×C4—42no—
1686C2×C4—42no—
1687C2×C4—42no—
1688C2×C4—42no—
1689C2×C4—42no—
1690C2×C4—42no—
1691C2×C4—42no—
1692C2×C4—42no—
1693C2×C4—42no—
1694C2×C4—42no—
1695C2×C4—42no—
1696C2×C4—42no—
1697C2×C4—42no—
1698C2×C4—42no—
1699C2×C4—42no—
1700C2×C4—42no—
1701C2×C4—42no—
1702C2×C4—42no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—42no—
1709C2×C4—42no—
1710C2×C4—42no—
1711C2×C4—42no—
1712C2×C4—42no—
1713C2×C4—42no—
1714C2×C4—42no—
1715C2×C4—42no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—42no—
1721C2×C4—42no—
1722C2×C4—42no—
1723C2×C4—42no—
1724C2×C4—42no—
1725C2×C4—42no—
1726C2×C4—42no—
1727C2×C4—42no—
1728C2×C4—42no—
1729C2×C4—42no—
1730C2×C4—42no—
1731C2×C4—42no—
1732C2×C4—42no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—42no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—42no—
1745C2×C4—42no—
1746C2×C4—42no—
1747C2×C4—42no—
1748C2×C4—42no—
1749C2×C4—42no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—42no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—42no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—42no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—42no—
1785C2×C4—42no—
1786C2×C4—42no—
1787C2×C4—42no—
1788C2×C4—42no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—42no—
1792C2×C4—42no—
1793C2×C4—42no—
1794C2×C4—42no—
1795C2×C4—42no—
1796C2×C4—42no—
1797C2×C4—42no—
1798C2×C4—42no—
1799C2×C4—42no—
1800C2×C4—42no—
1801C2×C4—42no—
1802C2×C4—42no—
1803C2×C4—42no—
1804C2×C4—42no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—81no—
1808C2×C4—81no—
1809C2×C4—81no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4—81no—
1813C2×C4—81no—
1814C2×C4—81no—
1815C2×C4—81no—
1816C2×C4—81no—
1817C2×C4—81no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—81no—
1824C2×C4—81no—
1825C2×C4—81no—
1826C2×C4—81no—
1827C2×C4—81no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—81no—
1831C2×C4—81no—
1832C2×C4—81no—
1833C2×C4—81no—
1834C2×C4—81no—
1835C2×C4—81no—
1836C2×C4—81no—
1837C2×C4—81no—
1838C2×C4—81no—
1839C2×C4—81no—
1840C2×C4—81no—
1841C2×C4—81no—
1842C2×C4—81no—
1843C2×C4—81no—
1844C2×C4—81no—
1845C2×C4—81no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—81no—
1849C2×C4—81no—
1850C2×C4—81no—
1851C2×C4—81no—
1852C2×C4—81no—
1853C2×C4#39318yescomplemented
1854C22—44no—
1855C22—44no—
1856C22—44no—
1857C22—44no—
1858C22—44no—
1859C22—44no—
1860C22—44no—
1861C22—82no—
1862C22—82no—
1863C22—82no—
1864C22—82no—
1865C22—82no—
1866C22—82no—
1867C22—82no—
1868C22—82no—
1869C22—82no—
1870C22—82no—
1871C22—82no—
1872C22—82no—
1873C22—82no—
1874C22—82no—
1875C22—82no—
1876C22—82no—
1877C22—82no—
1878C22—82no—
1879C22—82no—
1880C22—82no—
1881C22—82no—
1882C22—82no—
1883C22—82no—
1884C22—82no—
1885C22C2×#39311yescharacteristic
1886C22#238811yescharacteristic
1887C22#239611yescharacteristic
1888C22#240611yescharacteristic
1889C22#240811yescharacteristic
1890C22#240811yescharacteristic
1891C22#240911yescharacteristic
1892C22#241011yescharacteristic
1893C22#241011yescharacteristic
1894C22#241511yescharacteristic
1895C22#241711yescharacteristic
1896C22#242411yescharacteristic
1897C22#242411yescharacteristic
1898C22#242711yescharacteristic
1899C22#242911yescharacteristic
1900C22#243011yescharacteristic
1901C22#243011yescharacteristic
1902C22#243311yescharacteristic
1903C22#243311yescharacteristic
1904C22#243411yescharacteristic
1905C22#243611yescharacteristic
1906C22#243711yescharacteristic
1907C22#243911yescharacteristic
1908C22#243911yescharacteristic
1909C22#243911yescharacteristic
1910C22#244011yescharacteristic
1911C22#244011yescharacteristic
1912C22#244011yescharacteristic
1913C22#244911yescharacteristic
1914C22#244911yescharacteristic
1915C22#244911yescharacteristic
1916C22#244911yescharacteristic
1917C22#245011yescharacteristic
1918C22#245011yescharacteristic
1919C22#245211yescharacteristic
1920C22#245211yescharacteristic
1921C22#245211yescharacteristic
1922C22#245211yescharacteristic
1923C22#245211yescharacteristic
1924C22#245211yescharacteristic
1925C22#246111yescharacteristic
1926C22#246111yescharacteristic
1927C22#246111yescharacteristic
1928C22#246111yescharacteristic
1929C22#246511yescharacteristic
1930C22#246511yescharacteristic
1931C22#246511yescharacteristic
1932C22#246911yescharacteristic
1933C22#247211yescharacteristic
1934C22#247211yescharacteristic
1935C22#247211yescharacteristic
1936C22#247411yescharacteristic
1937C22#247411yescharacteristic
1938C22#247411yescharacteristic
1939C22#248811yescharacteristic
1940C22#248811yescharacteristic
1941C22#248811yescharacteristic
1942C22#249111yescharacteristic
1943C22#249111yescharacteristic
1944C22#249111yescharacteristic
1945C22#249111yescharacteristic
1946C22#249111yescharacteristic
1947C22#249111yescharacteristic
1948C22#249111yescharacteristic
1949C22#249211yescharacteristic
1950C22#249211yescharacteristic
1951C22#249211yescharacteristic
1952C22#252111yescharacteristic
1953C22#252111yescharacteristic
1954C22#252111yescharacteristic
1955C22#253911yescharacteristic
1956C22#254011yescharacteristic
1957C22#254211yescharacteristic
1958C22#254211yescharacteristic
1959C22#254511yescharacteristic
1960C22#254711yescharacteristic
1961C22#254911yescharacteristic
1962C22#255511yescharacteristic
1963C22#255511yescharacteristic
1964C22#255611yescharacteristic
1965C22#255611yescharacteristic
1966C22#255611yescharacteristic
1967C22#256011yescharacteristic
1968C22#256311yescharacteristic
1969C22#256311yescharacteristic
1970C22#256411yescharacteristic
1971C22#256411yescharacteristic
1972C22#257411yescharacteristic
1973C22#257411yescharacteristic
1974C22#258311yescharacteristic
1975C22#260411yescharacteristic
1976C22#261011yescharacteristic
1977C22#261011yescharacteristic
1978C22#262811yescharacteristic
1979C22#263211yescharacteristic
1980C22#263911yescharacteristic
1981C22#264011yescharacteristic
1982C22#265011yescharacteristic
1983C22#266211yescharacteristic
1984C22#266311yescharacteristic
1985C22#266311yescharacteristic
1986C22#266511yescharacteristic
1987C22#266911yescharacteristic
1988C22#267011yescharacteristic
1989C22#267011yescharacteristic
1990C22#267211yescharacteristic
1991C22#267411yescharacteristic
1992C22#267411yescharacteristic
1993C22#267711yescharacteristic
1994C22#267711yescharacteristic
1995C22#267811yescharacteristic
1996C22#267811yescharacteristic
1997C22#267911yescharacteristic
1998C22#268011yescharacteristic
1999C22#268011yescharacteristic
2000C22#268111yescharacteristic
2001C22#268111yescharacteristic
2002C22#268311yescharacteristic
2003C22#268611yescharacteristic
2004C22#268611yescharacteristic
2005C22#269211yescharacteristic
2006C22#269211yescharacteristic
2007C22#269611yescharacteristic
2008C22#269811yescharacteristic
2009C22#270011yescharacteristic
2010C22#270011yescharacteristic
2011C22#270211yescharacteristic
2012C22#270411yescharacteristic
2013C22#271511yescharacteristic
2014C22#271611yescharacteristic
2015C22#271611yescharacteristic
2016C22#271711yescharacteristic
2017C22#272011yescharacteristic
2018C22#272011yescharacteristic
2019C22#272011yescharacteristic
2020C22#272311yescharacteristic
2021C22#272311yescharacteristic
2022C22#272911yescharacteristic
2023C22#272911yescharacteristic
2024C22#273111yescharacteristic
2025C22#273711yescharacteristic
2026C22#274211yescharacteristic
2027C22#275911yescharacteristic
2028C22#276311yescharacteristic
2029C22#276311yescharacteristic
2030C22#277511yescharacteristic
2031C22#277511yescharacteristic
2032C22#278411yescharacteristic
2033C22#278511yescharacteristic
2034C22#278811yescharacteristic
2035C22#283211yescharacteristic
2036C22#283811yescharacteristic
2037C22#285011yescharacteristic
2038C22#285711yescharacteristic
2039C22#285811yescharacteristic
2040C4—28no—
2041C4—44no—
2042C4—44no—
2043C4—44no—
2044C4—44no—
2045C4—44no—
2046C4—44no—
2047C4—44no—
2048C4—82no—
2049C4—82no—
2050C4—82no—
2051C4—82no—
2052C4—82no—
2053C4—82no—
2054C2—84no—
2055C2#1475911yescharacteristic
2056C2#1476311yescharacteristic
2057C2#1477011yescharacteristic
2058C2#1478911yescharacteristic
2059C2#1492811yescharacteristic
2060C2#1506511yescharacteristic
2061C2#1507011yescharacteristic
2062C2#1512511yescharacteristic
2063C2#1514411yescharacteristic
2064C2#1526711yescharacteristic
2065C2#1531111yescharacteristic
2066C2#1532211yescharacteristic
2067C2#1532511yescharacteristic
2068C2#1543011yescharacteristic
2069C2#1547511yescharacteristic
2070C2#1547611yescharacteristic
2071C2#1561311yescharacteristic
2072C2#1561411yescharacteristic
2073C2#1562211yescharacteristic
2074C2#1563211yescharacteristic
2075C2#1563311yescharacteristic
2076C2#1566411yescharacteristic
2077C2#1577211yescharacteristic
2078C2#1577211yescharacteristic
2079C2#1582511yescharacteristic
2080C2#1632711yescharacteristic
2081C2#1637511yescharacteristic
2082C2#1648011yescharacteristic
2083C2#1678711yescharacteristic
2084C2#1687811yescharacteristic
2085C2#1688211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC25C24
prime radicalC26C23
LCSG ▷ C25 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C25 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#395C2semidirect
3. C2×#1446C2semidirect
4. C2×#1442C2semidirect
10. C2×C4⋊#95C2semidirect
11. #7557C2semidirect
12. #7557C2semidirect
13. #7556C2semidirect
15. #7554C2semidirect
170. C22×C22⋊C4Q8semidirect
171. C22×C22⋊C4Q8semidirect
1853. C2×C4#393semidirect

Maximal subgroups

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

subgroupindex
C22×#3952
C22×#3932
C2×#14462
C2×#14422
C2×#14392
C2×#14372
C2×C4⋊#952
#75572
#75562
#75552
#75542