Finite Group Databasebeta

← C22×#481415 #72319806

Subgroups — C22×#481415 #72319806

Order 2048.

48464 conjugacy classes of subgroups.

The subgroup lattice has 2005 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#61431C211yesmaximal, characteristic
2C22×#33484C211yesmaximal, characteristic, complemented
3C22×#11598C211yesmaximal, characteristic, complemented
4C22×#11666C211yesmaximal, characteristic, complemented
5C22×#11677C212yesmaximal, complemented
6C22×#11651C212yesmaximal, complemented
7C22×#11680C211yesmaximal, characteristic, complemented
8C2×#481415C2148yesmaximal, direct product factor
9C22×#17826C211yesmaximal, characteristic, complemented
10C22×#11663C212yesmaximal, complemented
11C22×#11654C211yesmaximal, characteristic, complemented
12C23×#1333C212yesmaximal, complemented
13C22×#3481—21no—
14C2×#61431—212no—
15C2×#61431—212no—
16C2×#61431C4124yes—
17C2×#61431C22124yes—
18C22×#3396C411yescharacteristic
19C22×#3338C411yescharacteristic
20C22×#3339C412yes—
21C22×#3361—21no—
22C22×#3297—22no—
23C22×#3295—21no—
24C22×#3380C411yescharacteristic
25C22×#3280C412yes—
26C22×D4×D8C411yescharacteristic
27C22×#3169C2211yescharacteristic
28C22×#3168C2212yes—
29C22×#3106—21no—
30C22×#3105—22no—
31C22×C8×#41C2211yescharacteristic
32C22×C4×#135C2211yescharacteristic
33C23×C4×D8C2212yes—
34C22×#2906—21no—
35C2×#33484—212no—
36C2×#33484C22124yescomplemented
37C22×#2183—21no—
38C22×#2168—22no—
39C22×D4×C16—21no—
40C22×#2163C2211yescharacteristic, complemented
41C22×#2163C2212yescomplemented
42C22×C4×M32C2211yescharacteristic, complemented
43C23×#346C2212yescomplemented
44C2×#17826—212no—
45C2×#17826C22124yescomplemented
46C22×#1570—22no—
47C22×#1570—21no—
48C22×#1566C2212yescomplemented
49C22×#1566C2211yescharacteristic, complemented
50C23×#334C2211yescharacteristic, complemented
51C23×#334C2212yescomplemented
52#481415C221256yesdirect product factor
53C2×#11680C22124yescomplemented
54C2×#11677C22148yescomplemented
55C2×#11654C22124yescomplemented
56C2×#11651C22148yescomplemented
57C2×#11666C22124yescomplemented
58C2×#11663C22148yescomplemented
59C2×#11598C22124yescomplemented
60C22×#1334C2211yescharacteristic, complemented
61C22×#1334C2212yescomplemented
62C22×#1334C2211yescharacteristic, complemented
63C22×#1333C2211yescharacteristic
64C22×#1333C2212yes—
65C22×#1333C2211yescharacteristic
66C22×#1333C2212yescomplemented
67C22×#1333C2212yescomplemented
68C22×#1333C2212yescomplemented
69C22×#1333C2212yescomplemented
70C22×#1333C22148yescomplemented
71C23×#135C2×C411yescharacteristic
72C24×D8C2×C412yes—
73C23×#131—41no—
74C2×#3481—224no—
75C2×#3481—224no—
76C2×#3481—412no—
77C2×#3481—412no—
78C22×#559—21no—
79C22×#553—22no—
80C22×#553—41no—
81C22×#551—42no—
82C22×#554—21no—
83C22×#554—21no—
84C22×#546—22no—
85C22×#546—41no—
86C22×D42—21no—
87C22×#532—21no—
88C22×#529—22no—
89C22×#529—41no—
90C22×#525—42no—
91C22×C4×#41—21no—
92C22×C4×#41D411yescharacteristic
93C23×C4×D4—22no—
94C23×C4×D4—41no—
95C23×M32—21no—
96C24×C16—22no—
97#61431—2192no—
98#61431—296no—
99#61431—296no—
100#61431C2×C41192yes—
101#61431C23164yes—
102C2×#3396—212no—
103C2×#3396C2×C4124yes—
104C2×#3380—212no—
105C2×#3380C2×C4124yes—
106C2×#3361—224no—
107C2×#3361—224no—
108C2×#3339—224no—
109C2×#3339C2×C4148yes—
110C2×#3338—212no—
111C2×#3338C2×C4124yes—
112C2×#3297—248no—
113C2×#3297—248no—
114C2×#3295—224no—
115C2×#3295—224no—
116C2×#3280—224no—
117C2×#3280C2×C4148yes—
118C2×D4×D8—212no—
119C2×D4×D8C2×C4124yes—
120C2×#3169—26no—
121C2×#3169—26no—
122C2×#3169C2×C4112yes—
123C2×#3169C23112yes—
124C2×#3168—212no—
125C2×#3168—212no—
126C2×#3168C2×C4124yes—
127C2×#3168C23124yes—
128C22×#500C2×C411yescharacteristic
129C22×#499C2×C412yes—
130C22×#495C2×C412yes—
131C22×#493C2×C411yescharacteristic
132C22×#488—22no—
133C22×#486—21no—
134C2×#3106—224no—
135C2×#3106—224no—
136C2×#3105—248no—
137C2×#3105—248no—
138C22×#484—22no—
139C22×#481—22no—
140C22×#482—22no—
141C22×#477—21no—
142C22×#478—22no—
143C22×#478—22no—
144C22×#476—21no—
145C22×#467C2×C412yes—
146C22×#466—21no—
147C22×#466C2×C412yes—
148C22×#466C2×C412yes—
149C22×#465—22no—
150C22×#460—21no—
151C22×#463—22no—
152C22×#463—22no—
153C22×#459—21no—
154C22×#449—22no—
155C22×#450—22no—
156C22×#447—22no—
157C2×C8×#41C2×C4112yes—
158C2×C8×#41D4112yes—
159C2×C8×#41D4112yes—
160C2×C8×#41C23112yes—
161C22×C8×Q8C2×C411yescharacteristic
162C22×C8×Q8D411yescharacteristic
163C2×C4×#135—26no—
164C2×C4×#135—26no—
165C2×C4×#135C2×C4112yes—
166C2×C4×#135C23112yes—
167C22×C4×Q16C2×C411yescharacteristic
168C22×C4×Q16C2311yescharacteristic
169C22×C4×SD16—21no—
170C22×C4×SD16—21no—
171C22×C4×SD16—22no—
172C22×C4×D8—22no—
173C22×C4×D8—212no—
174C22×C4×D8—212no—
175C22×C4×D8—22no—
176C22×C4×D8—21no—
177C22×C4×D8C2×C412yes—
178C22×C4×D8C2×C412yes—
179C22×C4×D8C2×C4124yes—
180C22×C4×D8C2×C411yescharacteristic
181C22×C4×D8C2311yescharacteristic
182C22×C4×D8C2312yes—
183C22×C4×D8C23124yes—
184C22×C8×D4C2×C411yescharacteristic
185C22×C8×D4C2×C412yes—
186C22×C8×D4D411yescharacteristic
187C22×C8×D4D412yes—
188C22×#431D412yes—
189C22×#431D411yescharacteristic
190C22×#427C2×C411yescharacteristic
191C23×#107C2×C412yes—
192C2×#2906—224no—
193C2×#2906—412no—
194C22×#424—42no—
195C22×#424—41no—
196C22×#423—22no—
197C22×#423—21no—
198C23×C4⋊C8—22no—
199C23×C4⋊C8—21no—
200C22×#416—21no—
201C23×#102—22no—
202C23×C4×C8C2312yes—
203C23×C4×C8C2311yescharacteristic
204#33484—296no—
205#33484C23164yescomplemented
206C2×#2183—224no—
207C2×#2168—248no—
208C2×D4×C16—224no—
209C2×#2163—212no—
210C2×#2163—26no—
211C2×#2163C23124yescomplemented
212C2×#2163C23112yescomplemented
213C22×C4⋊C16—21no—
214C22×C4⋊C16—22no—
215C22×C22⋊C16—22no—
216C22×C22⋊C16—21no—
217C2×C4×M32—26no—
218C2×C4×M32C23112yescomplemented
219C22×#346—22no—
220C22×#346—212no—
221C22×#346C2311yescharacteristic
222C22×#346C2312yes—
223C22×#346C2311yescharacteristic
224C22×#346C23124yescomplemented
225C22×C4×C16—21no—
226#17826—296no—
227#17826C23164yescomplemented
228C2×#1570—248no—
229C2×#1570—224no—
230C2×#1566—212no—
231C2×#1566—26no—
232C2×#1566C23124yescomplemented
233C2×#1566C23112yescomplemented
234C22×#334—21no—
235C22×#334—22no—
236C22×#334—212no—
237C22×#334—26no—
238C22×#334—22no—
239C22×#334—21no—
240C22×#334C2311yescharacteristic
241C22×#334C2311yescharacteristic
242C22×#334C2312yes—
243C22×#334C23124yescomplemented
244C22×#334C23112yescomplemented
245#11680C23164yescomplemented
246#11677C231128yescomplemented
247#11666C23164yescomplemented
248#11663C231128yescomplemented
249#11654C23164yescomplemented
250#11651C231128yescomplemented
251#11598C23164yescomplemented
252C2×#1334C23112yescomplemented
253C2×#1334C23124yescomplemented
254C2×#1334C23112yescomplemented
255C2×#1333C23112yes—
256C2×#1333C23124yes—
257C2×#1333C23112yes—
258C2×#1333C23124yescomplemented
259C2×#1333C23124yescomplemented
260C2×#1333C23124yescomplemented
261C2×#1333C23124yescomplemented
262C2×#1333C231128yescomplemented
263C23×#41—21no—
264C23×#41—41no—
265C23×#41D811yescharacteristic
266C24×D4—22no—
267C24×D4—41no—
268C25×C4—42no—
269C22×#135—28no—
270C22×#135—26no—
271C22×#135—44no—
272C22×#135C22×C4112yes—
273C23×Q16C22×C411yescharacteristic
274C23×SD16—21no—
275C23×SD16—22no—
276C23×D8—216no—
277C23×D8—212no—
278C23×D8—22no—
279C23×D8—21no—
280C23×D8—48no—
281C23×D8C22×C412yes—
282C23×D8C22×C4124yes—
283C23×D8C22×C411yescharacteristic
284C22×#131—424no—
285C22×#131—816no—
286C23×M16—42no—
287C23×M16—41no—
288C24×C8—42no—
289C24×C8—41no—
290C24×C8C22×C411yescharacteristic
291C24×C8C22×C412yes—
292C24×C8C2×D412yes—
293C24×C8C2×D411yescharacteristic
294#3481—2192no—
295#3481—264no—
296#3481—4192no—
297#3481—496no—
298#3481—496no—
299C2×#559—224no—
300C2×#559—412no—
301C2×#554—224no—
302C2×#554—224no—
303C2×#554—412no—
304C2×#554—412no—
305C2×#553—248no—
306C2×#553—424no—
307C2×#553—424no—
308C2×#553—424no—
309C2×#551—448no—
310C2×#551—448no—
311C2×#546—248no—
312C2×#546—424no—
313C2×#546—424no—
314C2×#546—424no—
315C2×D42—224no—
316C2×D42—412no—
317C2×#532—212no—
318C2×#532—212no—
319C2×#532—46no—
320C2×#532—46no—
321C22×C4⋊Q8—21no—
322C22×#127—21no—
323C2×#529—224no—
324C2×#529—224no—
325C2×#529—412no—
326C2×#529—412no—
327C2×#529—424no—
328C2×#529—424no—
329C22×#126—42no—
330C22×#126—42no—
331C22×#125—22no—
332C22×#125—41no—
333C22×#124—22no—
334C22×#124—41no—
335C22×#124—41no—
336C2×#525—448no—
337C2×#525—448no—
338C22×#123—42no—
339C22×#123—42no—
340C22×#123—42no—
341C22×#123—42no—
342C22×C22⋊Q8—22no—
343C22×C22⋊Q8—41no—
344C22×C22⋊Q8—42no—
345C22×C22⋊Q8—42no—
346C22×#121—22no—
347C22×#121—22no—
348C22×#121—42no—
349C22×#121—41no—
350C22×#121—41no—
351C22×#121—42no—
352C22×#120—42no—
353C22×#120—42no—
354C2×C4×#41—212no—
355C2×C4×#41—212no—
356C2×C4×#41—46no—
357C2×C4×#41—46no—
358C2×C4×#41C22⋊C4112yes—
359C2×C4×#41D8112yes—
360C2×C4×#41SD16112yes—
361C2×C4×#41C2×D4112yes—
362C22×C4×Q8—21no—
363C22×C4×Q8—21no—
364C22×C4×Q8C22⋊C411yescharacteristic
365C22×C4×Q8SD1611yescharacteristic
366C22×C4×D4—21no—
367C22×C4×D4—22no—
368C22×C4×D4—22no—
369C22×C4×D4—224no—
370C22×C4×D4—224no—
371C22×C4×D4—21no—
372C22×C4×D4—22no—
373C22×C4×D4—42no—
374C22×C4×D4—412no—
375C22×C4×D4—42no—
376C22×C4×D4—412no—
377C22×C4×D4—41no—
378C22×C4×D4—41no—
379C22×C4×D4—41no—
380C22×C4×D4—42no—
381C22×C4×D4—41no—
382C22×C4×D4—424no—
383C22×C4×D4—424no—
384C22×C4×D4—41no—
385C22×C4×D4—42no—
386C22×C4×D4C22⋊C411yescharacteristic
387C22×C4×D4C22⋊C412yes—
388C22×C4×D4SD1611yescharacteristic
389C22×C4×D4SD1612yes—
390C22×#117—21no—
391C22×#117—41no—
392C22×#117—42no—
393C22×#117D812yes—
394C22×#117D811yescharacteristic
395C23×C4⋊C4—22no—
396C23×C4⋊C4—41no—
397C23×C22⋊C4—42no—
398C23×C22⋊C4—42no—
399C23×C42—41no—
400C23×C42C2×D412yes—
401C23×C42C2×D411yescharacteristic
402C22×M32—212no—
403C22×M32—48no—
404C23×C16—21no—
405C23×C16—21no—
406C23×C16—22no—
407C23×C16—224no—
408C23×C16—416no—
409#3396—296no—
410#3396C22×C4164yes—
411#3380—296no—
412#3380C22×C4164yes—
413#3361—2192no—
414#3361—264no—
415#3339—2192no—
416#3339C22×C41128yes—
417#3338—296no—
418#3338C22×C4164yes—
419#3297—2384no—
420#3297—2128no—
421#3295—2192no—
422#3295—264no—
423#3280—2192no—
424#3280C22×C41128yes—
425D4×D8—296no—
426D4×D8C22×C4164yes—
427#3169—248no—
428#3169—224no—
429#3169—224no—
430#3169C22×C4148yes—
431#3169C24116yes—
432#3168—296no—
433#3168—248no—
434#3168—248no—
435#3168C22×C4196yes—
436#3168C24132yes—
437C2×#500—26no—
438C2×#500C22×C4112yes—
439C2×#499—212no—
440C2×#499C22×C4124yes—
441C2×#495—212no—
442C2×#495C22×C4124yes—
443C2×#493—26no—
444C2×#493C22×C4112yes—
445C2×#488—224no—
446C2×#488—224no—
447C2×#486—212no—
448C2×#486—212no—
449#3106—2192no—
450#3106—264no—
451#3105—2384no—
452#3105—2128no—
453C2×#484—248no—
454C2×#481—248no—
455C2×#482—248no—
456C2×#477—224no—
457C2×#478—248no—
458C2×#478—248no—
459C2×#476—224no—
460C2×#467—212no—
461C2×#467C22×C4124yes—
462C2×#466—212no—
463C2×#466—212no—
464C2×#466—212no—
465C2×#466—212no—
466C2×#466C22×C4124yes—
467C2×#466C22×C4124yes—
468C2×#465—224no—
469C2×#465—224no—
470C2×#460—224no—
471C2×#463—248no—
472C2×#463—248no—
473C2×#459—224no—
474C2×#449—248no—
475C2×#450—248no—
476C2×#447—248no—
477C8×#41C22⋊C4196yes—
478C8×#41C22×C4148yes—
479C8×#41C2×D4148yes—
480C8×#41C2×D4148yes—
481C8×#41C24116yes—
482C2×C8×Q8C22⋊C4112yes—
483C2×C8×Q8C22⋊C4112yes—
484C2×C8×Q8C22×C4112yes—
485C2×C8×Q8C2×D4112yes—
486C4×#135—248no—
487C4×#135—224no—
488C4×#135—224no—
489C4×#135C22×C4148yes—
490C4×#135C24116yes—
491C2×C4×Q16—26no—
492C2×C4×Q16—23no—
493C2×C4×Q16—23no—
494C2×C4×Q16C22×C4112yes—
495C2×C4×Q16C22×C416yes—
496C2×C4×Q16C2416yes—
497C2×C4×SD16—212no—
498C2×C4×SD16—212no—
499C2×C4×SD16—224no—
500C2×C4×SD16—212no—
501C2×C4×SD16—212no—
502C2×C4×SD16—224no—
503C2×C4×D8—212no—
504C2×C4×D8—26no—
505C2×C4×D8—212no—
506C2×C4×D8—224no—
507C2×C4×D8—212no—
508C2×C4×D8—224no—
509C2×C4×D8—296no—
510C2×C4×D8—224no—
511C2×C4×D8—212no—
512C2×C4×D8—224no—
513C2×C4×D8—23no—
514C2×C4×D8—23no—
515C2×C4×D8—248no—
516C2×C4×D8—248no—
517C2×C4×D8—26no—
518C2×C4×D8—26no—
519C2×C4×D8C22×C4124yes—
520C2×C4×D8C22×C4112yes—
521C2×C4×D8C22×C4124yes—
522C2×C4×D8C22×C416yes—
523C2×C4×D8C22×C4196yes—
524C2×C4×D8C22×C4112yes—
525C2×C4×D8C2416yes—
526C2×C4×D8C24112yes—
527C2×C4×D8C24132yes—
528C2×C8×D4C22⋊C4112yes—
529C2×C8×D4C22⋊C4124yes—
530C2×C8×D4C22⋊C4112yes—
531C2×C8×D4C22⋊C4124yes—
532C2×C8×D4C22×C4112yes—
533C2×C8×D4C22×C4124yes—
534C2×C8×D4C2×D4112yes—
535C2×C8×D4C2×D4124yes—
536C2×#431C22⋊C4124yes—
537C2×#431C22⋊C4112yes—
538C2×#431C2×D4124yes—
539C2×#431C2×D4112yes—
540C2×#427—26no—
541C2×#427C22×C4112yes—
542C22×#107—21no—
543C22×#107—212no—
544C22×#107—22no—
545C22×#107C22×C411yescharacteristic
546C22×#107C22×C412yes—
547C22×#107C22×C4124yes—
548C22×#107C22×C411yescharacteristic
549C22×#106—22no—
550C22×#106—21no—
551#2906—264no—
552#2906—496no—
553C2×#424—448no—
554C2×#424—424no—
555C2×#423—224no—
556C2×#423—212no—
557C2×#423—412no—
558C2×#423—46no—
559C22×C4⋊C8—21no—
560C22×C4⋊C8—21no—
561C22×C4⋊C8—22no—
562C22×C4⋊C8—224no—
563C22×C4⋊C8—212no—
564C22×C4⋊C8—41no—
565C22×C4⋊C8—42no—
566C22×C4⋊C8—412no—
567C22×C4⋊C8—46no—
568C22×C4⋊C8—41no—
569C22×C4⋊C8—42no—
570C22×C4⋊C8C22⋊C411yescharacteristic
571C22×C4⋊C8C22⋊C412yes—
572C22×C4⋊C8C22⋊C412yes—
573C22×C4⋊C8C22⋊C411yescharacteristic
574C2×#416—212no—
575C2×#416—212no—
576C22×#103—22no—
577C22×#103—21no—
578C22×#103—21no—
579C22×#102—22no—
580C22×#102—22no—
581C22×#102—22no—
582C22×#102—21no—
583C22×#102—22no—
584C22×#102—224no—
585C22×#102—22no—
586C22×#102—21no—
587C22×#102—224no—
588C22×C22⋊C8C22⋊C412yes—
589C22×C22⋊C8C22⋊C412yes—
590C22×C22⋊C8C22⋊C412yes—
591C22×C4×C8C22×C411yescharacteristic
592C22×C4×C8C22×C412yes—
593C22×C4×C8C22×C4112yes—
594C22×C4×C8C22×C416yes—
595C22×C4×C8C2×D4112yes—
596C22×C4×C8C2×D416yes—
597C22×C4×C8C2×D412yes—
598C22×C4×C8C2×D411yescharacteristic
599C22×C4×C8C2×D411yescharacteristic
600C22×C4×C8C2×D412yes—
601C22×C4×C8C2×D4112yes—
602C22×C4×C8C2×D416yes—
603C22×C4×C8C24112yes—
604C22×C4×C8C2416yes—
605C22×C4×C8C2411yescharacteristic
606#2183—264no—
607#2168—2128no—
608D4×C16—264no—
609#2163—224no—
610#2163—248no—
611#2163C24132yescomplemented
612#2163C24116yescomplemented
613C2×C4⋊C16—212no—
614C2×C4⋊C16—224no—
615C2×C22⋊C16—224no—
616C2×C22⋊C16—212no—
617C4×M32—224no—
618C4×M32C24116yescomplemented
619C2×#346—23no—
620C2×#346—26no—
621C2×#346—224no—
622C2×#346—248no—
623C2×#346—23no—
624C2×#346C2416yes—
625C2×#346C24112yes—
626C2×#346C2416yes—
627C2×#346C24132yescomplemented
628C2×C4×C16—212no—
629#1570—2128no—
630#1570—264no—
631#1566—248no—
632#1566—224no—
633#1566C24132yescomplemented
634#1566C24116yescomplemented
635C2×#334—23no—
636C2×#334—26no—
637C2×#334—23no—
638C2×#334—224no—
639C2×#334—212no—
640C2×#334—248no—
641C2×#334—224no—
642C2×#334—224no—
643C2×#334—212no—
644C2×#334C2416yes—
645C2×#334C24112yes—
646C2×#334C2416yes—
647C2×#334C24132yescomplemented
648C2×#334C24116yescomplemented
649#1334C24116yescomplemented
650#1334C24116yescomplemented
651#1334C24132yescomplemented
652#1333C24116yes—
653#1333C24132yes—
654#1333C24116yes—
655#1333C24132yescomplemented
656#1333C24132yescomplemented
657#1333C24132yescomplemented
658#1333C24132yescomplemented
659C26—42no—
660C22×#41—216no—
661C22×#41—212no—
662C22×#41—48no—
663C22×#41—412no—
664C22×#41—46no—
665C22×#41—412no—
666C22×#41—84no—
667C22×#41—168no—
668C22×#41#102112yes—
669C22×#41C2×D8112yes—
670C23×Q8—21no—
671C23×Q8—41no—
672C23×Q8#10211yescharacteristic
673C23×D4—21no—
674C23×D4—22no—
675C23×D4—224no—
676C23×D4—416no—
677C23×D4—42no—
678C23×D4—41no—
679C23×D4—42no—
680C23×D4—424no—
681C23×D4—42no—
682C23×D4—412no—
683C23×D4—41no—
684C23×D4—41no—
685C23×D4—88no—
686C23×D4—816no—
687C23×D4#10212yes—
688C23×D4#10211yescharacteristic
689C24×C4—42no—
690C24×C4—41no—
691C24×C4—42no—
692C24×C4—41no—
693C24×C4—41no—
694C24×C4—424no—
695C24×C4—42no—
696C24×C4—42no—
697C24×C4—424no—
698C24×C4—1616no—
699C24×C4C2×C22⋊C412yes—
700C24×C4C2×C22⋊C411yescharacteristic
701C24×C4C2×D812yes—
702C24×C4C2×D811yescharacteristic
703C24×C4C2×SD1612yes—
704C24×C4C2×SD1611yescharacteristic
705C2×#135—248no—
706C2×#135—224no—
707C2×#135—424no—
708C2×#135—448no—
709C2×#135C23×C4116yes—
710C22×Q16—23no—
711C22×Q16—24no—
712C22×Q16—24no—
713C22×Q16C23×C416yes—
714C22×SD16—212no—
715C22×SD16—224no—
716C22×SD16—48no—
717C22×SD16—88no—
718C22×D8—296no—
719C22×D8—23no—
720C22×D8—26no—
721C22×D8—224no—
722C22×D8—248no—
723C22×D8—212no—
724C22×D8—28no—
725C22×D8—24no—
726C22×D8—28no—
727C22×D8—448no—
728C22×D8—496no—
729C22×D8—416no—
730C22×D8—84no—
731C22×D8#13118yescomplemented
732C22×D8C23×C4112yes—
733C22×D8C23×C4132yes—
734C22×D8C23×C416yes—
735C2×#131—464no—
736C2×#131—8192no—
737C22×M16—424no—
738C22×M16—412no—
739C22×M16—816no—
740C22×M16—88no—
741C23×C8—28no—
742C23×C8—24no—
743C23×C8—28no—
744C23×C8—24no—
745C23×C8—48no—
746C23×C8—44no—
747C23×C8—41no—
748C23×C8—41no—
749C23×C8—42no—
750C23×C8—424no—
751C23×C8—412no—
752C23×C8—816no—
753C23×C8—88no—
754C23×C8C2×C22⋊C412yes—
755C23×C8C2×C22⋊C411yescharacteristic
756C23×C8C2×C22⋊C411yescharacteristic
757C23×C8C2×C22⋊C412yes—
758C23×C8C2×C22⋊C4112yes—
759C23×C8C2×C22⋊C416yes—
760C23×C8C2×C22⋊C4112yes—
761C23×C8C2×C22⋊C416yes—
762C23×C8C23×C4112yes—
763C23×C8C23×C416yes—
764C23×C8C23×C411yescharacteristic
765C23×C8C22×D411yescharacteristic
766C23×C8C22×D4112yes—
767C23×C8C22×D416yes—
768#559—264no—
769#559—496no—
770#554—264no—
771#554—264no—
772#554—496no—
773#554—496no—
774#553—2128no—
775#553—4192no—
776#553—464no—
777#553—4192no—
778#551—4128no—
779#551—4384no—
780#546—2128no—
781#546—464no—
782#546—4192no—
783#546—4192no—
784D42—264no—
785D42—496no—
786#532—248no—
787#532—216no—
788#532—424no—
789#532—424no—
790#532—448no—
791C2×C4⋊Q8—212no—
792C2×C4⋊Q8—46no—
793C2×#127—212no—
794C2×#127—46no—
795#529—296no—
796#529—232no—
797#529—464no—
798#529—4192no—
799#529—448no—
800#529—448no—
801#529—496no—
802C2×#126—448no—
803C2×#126—424no—
804C2×#126—424no—
805C2×#125—224no—
806C2×#125—424no—
807C2×#125—412no—
808C2×#124—224no—
809C2×#124—424no—
810C2×#124—412no—
811C2×#124—412no—
812C2×#124—412no—
813#525—4128no—
814#525—4384no—
815C2×#123—424no—
816C2×#123—424no—
817C2×#123—448no—
818C2×#123—448no—
819C2×#123—448no—
820C2×C22⋊Q8—224no—
821C2×C22⋊Q8—424no—
822C2×C22⋊Q8—412no—
823C2×C22⋊Q8—448no—
824C2×C22⋊Q8—448no—
825C2×#121—224no—
826C2×#121—224no—
827C2×#121—448no—
828C2×#121—412no—
829C2×#121—412no—
830C2×#121—412no—
831C2×#121—412no—
832C2×#121—424no—
833C2×#121—448no—
834C2×#120—448no—
835C2×#120—448no—
836C4×#41—248no—
837C4×#41—216no—
838C4×#41—424no—
839C4×#41—424no—
840C4×#41—448no—
841C4×#41#102196yes—
842C4×#41C2×C22⋊C4148yes—
843C4×#41C2×D8148yes—
844C4×#41C2×SD16148yes—
845C4×#41C22×D4116yes—
846C2×C4×Q8—212no—
847C2×C4×Q8—26no—
848C2×C4×Q8—26no—
849C2×C4×Q8—43no—
850C2×C4×Q8—43no—
851C2×C4×Q8—46no—
852C2×C4×Q8#102112yes—
853C2×C4×Q8#102112yes—
854C2×C4×Q8C2×C22⋊C4112yes—
855C2×C4×Q8C2×SD16112yes—
856C2×C4×D4—224no—
857C2×C4×D4—224no—
858C2×C4×D4—296no—
859C2×C4×D4—26no—
860C2×C4×D4—212no—
861C2×C4×D4—212no—
862C2×C4×D4—232no—
863C2×C4×D4—26no—
864C2×C4×D4—212no—
865C2×C4×D4—424no—
866C2×C4×D4—412no—
867C2×C4×D4—424no—
868C2×C4×D4—412no—
869C2×C4×D4—424no—
870C2×C4×D4—412no—
871C2×C4×D4—412no—
872C2×C4×D4—464no—
873C2×C4×D4—4192no—
874C2×C4×D4—424no—
875C2×C4×D4—448no—
876C2×C4×D4—43no—
877C2×C4×D4—46no—
878C2×C4×D4—424no—
879C2×C4×D4—448no—
880C2×C4×D4—43no—
881C2×C4×D4—424no—
882C2×C4×D4—46no—
883C2×C4×D4—448no—
884C2×C4×D4—412no—
885C2×C4×D4—424no—
886C2×C4×D4—412no—
887C2×C4×D4—424no—
888C2×C4×D4—412no—
889C2×C4×D4—496no—
890C2×C4×D4—46no—
891C2×C4×D4—412no—
892C2×C4×D4#102112yes—
893C2×C4×D4#102112yes—
894C2×C4×D4#102124yes—
895C2×C4×D4#102124yes—
896C2×C4×D4C2×C22⋊C4112yes—
897C2×C4×D4C2×C22⋊C4124yes—
898C2×C4×D4C2×SD16112yes—
899C2×C4×D4C2×SD16124yes—
900C2×#117—212no—
901C2×#117—46no—
902C2×#117—412no—
903C2×#117—424no—
904C2×#117—412no—
905C2×#117—424no—
906C2×#117#102124yes—
907C2×#117#102112yes—
908C2×#117C2×D8124yes—
909C2×#117C2×D8112yes—
910C22×C4⋊C4—224no—
911C22×C4⋊C4—21no—
912C22×C4⋊C4—21no—
913C22×C4⋊C4—22no—
914C22×C4⋊C4—41no—
915C22×C4⋊C4—42no—
916C22×C4⋊C4—412no—
917C22×C4⋊C4—41no—
918C22×C4⋊C4—42no—
919C22×C4⋊C4—41no—
920C22×C4⋊C4—42no—
921C22×C4⋊C4—42no—
922C22×C4⋊C4—424no—
923C22×C4⋊C4#10211yescharacteristic
924C22×C4⋊C4#10211yescharacteristic
925C22×C4⋊C4#10212yes—
926C22×C4⋊C4#10212yes—
927C22×C22⋊C4—42no—
928C22×C22⋊C4—41no—
929C22×C22⋊C4—41no—
930C22×C22⋊C4—42no—
931C22×C22⋊C4—424no—
932C22×C22⋊C4—42no—
933C22×C22⋊C4—42no—
934C22×C22⋊C4—424no—
935C22×C22⋊C4—42no—
936C22×C22⋊C4—42no—
937C22×C22⋊C4—41no—
938C22×C22⋊C4—42no—
939C22×C22⋊C4—42no—
940C22×C22⋊C4—448no—
941C22×C22⋊C4#10212yes—
942C22×C22⋊C4#10212yes—
943C22×C22⋊C4#10212yes—
944C22×C42—41no—
945C22×C42—41no—
946C22×C42—41no—
947C22×C42—412no—
948C22×C42—412no—
949C22×C42C2×C22⋊C412yes—
950C22×C42C2×C22⋊C411yescharacteristic
951C22×C42C2×C22⋊C4112yes—
952C22×C42C2×C22⋊C416yes—
953C22×C42C2×D811yescharacteristic
954C22×C42C2×D812yes—
955C22×C42C2×D8112yes—
956C22×C42C2×D816yes—
957C22×C42C2×SD1611yescharacteristic
958C22×C42C2×SD1612yes—
959C22×C42C2×SD16112yes—
960C22×C42C2×SD1616yes—
961C22×C42C22×D411yescharacteristic
962C22×C42C22×D4112yes—
963C22×C42C22×D416yes—
964C2×M32—216no—
965C2×M32—448no—
966C22×C16—28no—
967C22×C16—26no—
968C22×C16—26no—
969C22×C16—212no—
970C22×C16—232no—
971C22×C16—496no—
972C22×C16—48no—
973C22×C16—44no—
974#500—224no—
975#500C23×C4116yes—
976#499—248no—
977#499C23×C4132yes—
978#495—248no—
979#495C23×C4132yes—
980#493—224no—
981#493C23×C4116yes—
982#488—296no—
983#488—232no—
984#486—248no—
985#486—216no—
986#484—2128no—
987#482—2128no—
988#481—2128no—
989#478—2128no—
990#478—2128no—
991#477—264no—
992#476—264no—
993#467—248no—
994#467C23×C4132yes—
995#466—248no—
996#466—248no—
997#466—248no—
998#466—216no—
999#466C23×C4132yes—
1000#466C23×C4132yes—
1001#465—296no—
1002#465—232no—
1003#463—2128no—
1004#463—2128no—
1005#460—264no—
1006#459—264no—
1007#450—2128no—
1008#449—2128no—
1009#447—2128no—
1010C8×Q8C2×C22⋊C4148yes—
1011C8×Q8C2×C22⋊C4148yes—
1012C8×Q8C23×C4116yes—
1013C8×Q8C22×D4116yes—
1014C4×Q16—224no—
1015C4×Q16—212no—
1016C4×Q16—26no—
1017C4×Q16—26no—
1018C4×Q16C23×C4116yes—
1019C4×Q16C23×C4112yes—
1020C4×Q16C2514yes—
1021C4×SD16—248no—
1022C4×SD16—296no—
1023C4×SD16—248no—
1024C4×SD16—216no—
1025C4×SD16—232no—
1026C4×SD16—216no—
1027C4×D8—248no—
1028C4×D8—248no—
1029C4×D8—296no—
1030C4×D8—296no—
1031C4×D8—248no—
1032C4×D8—224no—
1033C4×D8—224no—
1034C4×D8—212no—
1035C4×D8—216no—
1036C4×D8—232no—
1037C4×D8—232no—
1038C4×D8—212no—
1039C4×D8—212no—
1040C4×D8—26no—
1041C4×D8—26no—
1042C4×D8C23×C4132yes—
1043C4×D8C23×C4132yes—
1044C4×D8C23×C4116yes—
1045C4×D8C23×C4124yes—
1046C4×D8C23×C4112yes—
1047C4×D8C2514yes—
1048C4×D8C2518yes—
1049C8×D4C2×C22⋊C4148yes—
1050C8×D4C2×C22⋊C4196yes—
1051C8×D4C2×C22⋊C4148yes—
1052C8×D4C2×C22⋊C4196yes—
1053C8×D4C23×C4116yes—
1054C8×D4C23×C4132yes—
1055C8×D4C22×D4116yes—
1056C8×D4C22×D4132yes—
1057#431C2×C22⋊C4196yes—
1058#431C2×C22⋊C4148yes—
1059#431C22×D4132yes—
1060#431C22×D4116yes—
1061#427—224no—
1062#427C23×C4116yes—
1063C2×#107—212no—
1064C2×#107—224no—
1065C2×#107—248no—
1066C2×#107—23no—
1067C2×#107—26no—
1068C2×#107—23no—
1069C2×#107C23×C4132yes—
1070C2×#107C23×C416yes—
1071C2×#107C23×C4112yes—
1072C2×#107C23×C416yes—
1073C2×#106—212no—
1074C2×#106—224no—
1075#424—4128no—
1076#424—464no—
1077#423—232no—
1078#423—216no—
1079#423—448no—
1080#423—424no—
1081C2×C4⋊C8—26no—
1082C2×C4⋊C8—212no—
1083C2×C4⋊C8—26no—
1084C2×C4⋊C8—232no—
1085C2×C4⋊C8—216no—
1086C2×C4⋊C8—43no—
1087C2×C4⋊C8—46no—
1088C2×C4⋊C8—43no—
1089C2×C4⋊C8—412no—
1090C2×C4⋊C8—424no—
1091C2×C4⋊C8—448no—
1092C2×C4⋊C8—424no—
1093C2×C4⋊C8—412no—
1094C2×C4⋊C8—424no—
1095C2×C4⋊C8C2×C22⋊C4124yes—
1096C2×C4⋊C8C2×C22⋊C4124yes—
1097C2×C4⋊C8C2×C22⋊C4112yes—
1098C2×C4⋊C8C2×C22⋊C4112yes—
1099#416—248no—
1100#416—216no—
1101C2×#103—224no—
1102C2×#103—212no—
1103C2×#103—26no—
1104C2×#103—26no—
1105C2×#102—212no—
1106C2×#102—224no—
1107C2×#102—224no—
1108C2×#102—224no—
1109C2×#102—224no—
1110C2×#102—212no—
1111C2×#102—26no—
1112C2×#102—296no—
1113C2×#102—212no—
1114C2×#102—26no—
1115C2×#102—232no—
1116C2×C22⋊C8C2×C22⋊C4124yes—
1117C2×C22⋊C8C2×C22⋊C4124yes—
1118C2×C22⋊C8C2×C22⋊C4124yes—
1119C2×C4×C8C2×C22⋊C416yes—
1120C2×C4×C8C2×C22⋊C4112yes—
1121C2×C4×C8C2×C22⋊C416yes—
1122C2×C4×C8C2×C22⋊C4112yes—
1123C2×C4×C8C2×C22⋊C4148yes—
1124C2×C4×C8C2×C22⋊C4124yes—
1125C2×C4×C8C2×C22⋊C4112yes—
1126C2×C4×C8C2×C22⋊C416yes—
1127C2×C4×C8C23×C413yes—
1128C2×C4×C8C23×C416yes—
1129C2×C4×C8C23×C4112yes—
1130C2×C4×C8C23×C4124yes—
1131C2×C4×C8C23×C4112yes—
1132C2×C4×C8C22×D413yes—
1133C2×C4×C8C22×D416yes—
1134C2×C4×C8C22×D4112yes—
1135C2×C4×C8C22×D4124yes—
1136C2×C4×C8C22×D4112yes—
1137C2×C4×C8C22×D413yes—
1138C2×C4×C8C22×D4112yes—
1139C2×C4×C8C22×D416yes—
1140C2×C4×C8C22×D4124yes—
1141C2×C4×C8C22×D4112yes—
1142C2×C4×C8C2513yes—
1143C2×C4×C8C2518yes—
1144C2×C4×C8C2514yes—
1145C4⋊C16—216no—
1146C4⋊C16—232no—
1147C22⋊C16—232no—
1148C22⋊C16—216no—
1149#346—26no—
1150#346—212no—
1151#346—232no—
1152#346—26no—
1153#346C2514yes—
1154#346C2518yes—
1155#346C2514yes—
1156C4×C16—216no—
1157#334—26no—
1158#334—212no—
1159#334—26no—
1160#334—232no—
1161#334—216no—
1162#334—232no—
1163#334—216no—
1164#334C2514yes—
1165#334C2518yes—
1166#334C2514yes—
1167C25—41no—
1168C25—42no—
1169C25—424no—
1170C25—816no—
1171C25—816no—
1172C25—168no—
1173C25C2×#10211yescharacteristic
1174C25C2×#10212yes—
1175C2×#41—296no—
1176C2×#41—296no—
1177C2×#41—216no—
1178C2×#41—448no—
1179C2×#41—424no—
1180C2×#41—448no—
1181C2×#41—416no—
1182C2×#41—824no—
1183C2×#41—848no—
1184C2×#41—1648no—
1185C2×#41—1648no—
1186C2×#41C2×#102148yes—
1187C2×#41C22×D8116yes—
1188C22×Q8—28no—
1189C22×Q8—26no—
1190C22×Q8—43no—
1191C22×Q8—412no—
1192C22×Q8—44no—
1193C22×Q8—44no—
1194C22×Q8—164no—
1195C22×Q8C2×#102112yes—
1196C22×D4—216no—
1197C22×D4—28no—
1198C22×D4—26no—
1199C22×D4—212no—
1200C22×D4—232no—
1201C22×D4—496no—
1202C22×D4—412no—
1203C22×D4—424no—
1204C22×D4—424no—
1205C22×D4—464no—
1206C22×D4—48no—
1207C22×D4—43no—
1208C22×D4—424no—
1209C22×D4—412no—
1210C22×D4—46no—
1211C22×D4—448no—
1212C22×D4—412no—
1213C22×D4—44no—
1214C22×D4—48no—
1215C22×D4—848no—
1216C22×D4—896no—
1217C22×D4—816no—
1218C22×D4—88no—
1219C22×D4—816no—
1220C22×D4—8192no—
1221C22×D4—88no—
1222C22×D4—164no—
1223C22×D4—168no—
1224C22×D4#360116yes—
1225C22×D4C2×#102124yes—
1226C22×D4C2×#102112yes—
1227C23×C4—216no—
1228C23×C4—28no—
1229C23×C4—24no—
1230C23×C4—28no—
1231C23×C4—24no—
1232C23×C4—28no—
1233C23×C4—48no—
1234C23×C4—44no—
1235C23×C4—41no—
1236C23×C4—42no—
1237C23×C4—41no—
1238C23×C4—41no—
1239C23×C4—424no—
1240C23×C4—412no—
1241C23×C4—412no—
1242C23×C4—412no—
1243C23×C4—46no—
1244C23×C4—412no—
1245C23×C4—46no—
1246C23×C4—424no—
1247C23×C4—424no—
1248C23×C4—496no—
1249C23×C4—432no—
1250C23×C4—88no—
1251C23×C4—88no—
1252C23×C4—816no—
1253C23×C4—88no—
1254C23×C4—168no—
1255C23×C4—168no—
1256C23×C4—1696no—
1257C23×C4—1696no—
1258C23×C4—168no—
1259C23×C4C2×#102112yes—
1260C23×C4C2×#102112yes—
1261C23×C4C2×#10216yes—
1262C23×C4C2×#10216yes—
1263C23×C4C2×#10212yes—
1264C23×C4C2×#10211yescharacteristic
1265C23×C4C2×#10212yes—
1266C23×C4C2×#10212yes—
1267C23×C4C2×#10211yescharacteristic
1268C23×C4C2×#102112yes—
1269C23×C4C2×#10216yes—
1270C23×C4C2×#10211yescharacteristic
1271C23×C4C22×C22⋊C4112yes—
1272C23×C4C22×C22⋊C416yes—
1273C23×C4C22×C22⋊C411yescharacteristic
1274C23×C4C22×D8112yes—
1275C23×C4C22×D816yes—
1276C23×C4C22×D811yescharacteristic
1277C23×C4C22×SD1611yescharacteristic
1278C23×C4C22×SD16112yes—
1279C23×C4C22×SD1616yes—
1280#135—232no—
1281#135—416no—
1282#135—496no—
1283C2×Q16—26no—
1284C2×Q16—212no—
1285C2×Q16—212no—
1286C2×Q16—412no—
1287C2×Q16C24×C414yes—
1288C2×SD16—216no—
1289C2×SD16—232no—
1290C2×SD16—448no—
1291C2×SD16—848no—
1292C2×D8—264no—
1293C2×D8—224no—
1294C2×D8—26no—
1295C2×D8—232no—
1296C2×D8—212no—
1297C2×D8—216no—
1298C2×D8—224no—
1299C2×D8—212no—
1300C2×D8—224no—
1301C2×D8—432no—
1302C2×D8—4192no—
1303C2×D8—496no—
1304C2×D8—424no—
1305C2×D8—824no—
1306C2×D8C2×#131124yescomplemented
1307C2×D8C24×C418yes—
1308C2×D8C24×C414yes—
1309#131—8256no—
1310C2×M16—432no—
1311C2×M16—416no—
1312C2×M16—896no—
1313C2×M16—848no—
1314C22×C8—28no—
1315C22×C8—24no—
1316C22×C8—24no—
1317C22×C8—24no—
1318C22×C8—28no—
1319C22×C8—248no—
1320C22×C8—224no—
1321C22×C8—224no—
1322C22×C8—212no—
1323C22×C8—224no—
1324C22×C8—212no—
1325C22×C8—412no—
1326C22×C8—424no—
1327C22×C8—424no—
1328C22×C8—412no—
1329C22×C8—46no—
1330C22×C8—412no—
1331C22×C8—46no—
1332C22×C8—432no—
1333C22×C8—416no—
1334C22×C8—84no—
1335C22×C8—88no—
1336C22×C8—84no—
1337C22×C8—896no—
1338C22×C8—848no—
1339C22×C8C22×C22⋊C413yes—
1340C22×C8C22×C22⋊C4112yes—
1341C22×C8C22×C22⋊C4124yes—
1342C22×C8C22×C22⋊C416yes—
1343C22×C8C22×C22⋊C4112yes—
1344C22×C8C22×C22⋊C416yes—
1345C22×C8C22×C22⋊C4112yes—
1346C22×C8C22×C22⋊C4124yes—
1347C22×C8C22×C22⋊C4112yes—
1348C22×C8C22×C22⋊C413yes—
1349C22×C8C2×#13114yes—
1350C22×C8#56814yes—
1351C22×C8C24×C418yes—
1352C22×C8C24×C414yes—
1353C22×C8C24×C413yes—
1354C22×C8C23×D413yes—
1355C22×C8C23×D418yes—
1356C22×C8C23×D414yes—
1357C4⋊Q8—216no—
1358C4⋊Q8—424no—
1359#127—216no—
1360#127—424no—
1361#126—4128no—
1362#126—496no—
1363#126—432no—
1364#125—232no—
1365#125—464no—
1366#125—448no—
1367#124—232no—
1368#124—464no—
1369#124—448no—
1370#124—448no—
1371#124—416no—
1372#123—496no—
1373#123—432no—
1374#123—4128no—
1375#123—4128no—
1376#123—4128no—
1377C22⋊Q8—232no—
1378C22⋊Q8—464no—
1379C22⋊Q8—448no—
1380C22⋊Q8—4128no—
1381C22⋊Q8—4128no—
1382#121—232no—
1383#121—232no—
1384#121—4128no—
1385#121—448no—
1386#121—448no—
1387#121—448no—
1388#121—416no—
1389#121—464no—
1390#121—4128no—
1391#120—4128no—
1392#120—4128no—
1393C4×Q8—24no—
1394C4×Q8—212no—
1395C4×Q8—216no—
1396C4×Q8—412no—
1397C4×Q8—424no—
1398C4×Q8—46no—
1399C4×Q8—46no—
1400C4×Q8C2×#102148yes—
1401C4×Q8C2×#102148yes—
1402C4×Q8C22×C22⋊C4116yes—
1403C4×Q8C22×SD16116yes—
1404C4×D4—24no—
1405C4×D4—28no—
1406C4×D4—212no—
1407C4×D4—224no—
1408C4×D4—232no—
1409C4×D4—232no—
1410C4×D4—216no—
1411C4×D4—464no—
1412C4×D4—496no—
1413C4×D4—448no—
1414C4×D4—448no—
1415C4×D4—416no—
1416C4×D4—432no—
1417C4×D4—416no—
1418C4×D4—464no—
1419C4×D4—4128no—
1420C4×D4—412no—
1421C4×D4—496no—
1422C4×D4—424no—
1423C4×D4—448no—
1424C4×D4—496no—
1425C4×D4—448no—
1426C4×D4—424no—
1427C4×D4—448no—
1428C4×D4—46no—
1429C4×D4—412no—
1430C4×D4—432no—
1431C4×D4—46no—
1432C4×D4—432no—
1433C4×D4—412no—
1434C4×D4—416no—
1435C4×D4C2×#102148yes—
1436C4×D4C2×#102148yes—
1437C4×D4C2×#102196yes—
1438C4×D4C2×#102196yes—
1439C4×D4C22×C22⋊C4116yes—
1440C4×D4C22×C22⋊C4132yes—
1441C4×D4C22×SD16116yes—
1442C4×D4C22×SD16132yes—
1443#117—216no—
1444#117—424no—
1445#117—448no—
1446#117—496no—
1447#117—416no—
1448#117—432no—
1449#117C2×#102196yes—
1450#117C2×#102148yes—
1451#117C22×D8132yes—
1452#117C22×D8116yes—
1453C2×C4⋊C4—26no—
1454C2×C4⋊C4—212no—
1455C2×C4⋊C4—232no—
1456C2×C4⋊C4—26no—
1457C2×C4⋊C4—43no—
1458C2×C4⋊C4—46no—
1459C2×C4⋊C4—424no—
1460C2×C4⋊C4—448no—
1461C2×C4⋊C4—43no—
1462C2×C4⋊C4—412no—
1463C2×C4⋊C4—424no—
1464C2×C4⋊C4—412no—
1465C2×C4⋊C4—46no—
1466C2×C4⋊C4—424no—
1467C2×C4⋊C4—424no—
1468C2×C4⋊C4—46no—
1469C2×C4⋊C4—464no—
1470C2×C4⋊C4C2×#102112yes—
1471C2×C4⋊C4C2×#102112yes—
1472C2×C4⋊C4C2×#102124yes—
1473C2×C4⋊C4C2×#102124yes—
1474C2×C22⋊C4—424no—
1475C2×C22⋊C4—412no—
1476C2×C22⋊C4—46no—
1477C2×C22⋊C4—424no—
1478C2×C22⋊C4—424no—
1479C2×C22⋊C4—412no—
1480C2×C22⋊C4—496no—
1481C2×C22⋊C4—424no—
1482C2×C22⋊C4—424no—
1483C2×C22⋊C4—412no—
1484C2×C22⋊C4—424no—
1485C2×C22⋊C4—424no—
1486C2×C22⋊C4—46no—
1487C2×C22⋊C4—412no—
1488C2×C22⋊C4—432no—
1489C2×C22⋊C4—4128no—
1490C2×C22⋊C4C2×#102124yes—
1491C2×C22⋊C4C2×#102124yes—
1492C2×C22⋊C4C2×#102124yes—
1493C2×C42—412no—
1494C2×C42—46no—
1495C2×C42—412no—
1496C2×C42—46no—
1497C2×C42—448no—
1498C2×C42—416no—
1499C2×C42C2×#10216yes—
1500C2×C42C2×#102112yes—
1501C2×C42C2×#102112yes—
1502C2×C42C2×#102112yes—
1503C2×C42C2×#10216yes—
1504C2×C42C2×#102148yes—
1505C2×C42C2×#10216yes—
1506C2×C42C2×#102124yes—
1507C2×C42C22×C22⋊C413yes—
1508C2×C42C22×C22⋊C4112yes—
1509C2×C42C22×C22⋊C4124yes—
1510C2×C42C22×C22⋊C416yes—
1511C2×C42C22×C22⋊C4112yes—
1512C2×C42C22×D816yes—
1513C2×C42C22×D8112yes—
1514C2×C42C22×D813yes—
1515C2×C42C22×D8124yes—
1516C2×C42C22×D8112yes—
1517C2×C42C22×SD16112yes—
1518C2×C42C22×SD1613yes—
1519C2×C42C22×SD1616yes—
1520C2×C42C22×SD16124yes—
1521C2×C42C22×SD16112yes—
1522C2×C42C23×D413yes—
1523C2×C42C23×D418yes—
1524C2×C42C23×D414yes—
1525M32—432no—
1526C2×C16—224no—
1527C2×C16—24no—
1528C2×C16—24no—
1529C2×C16—28no—
1530C2×C16—464no—
1531C2×C16—424no—
1532C2×C16—412no—
1533#107—26no—
1534#107—212no—
1535#107—232no—
1536#107—216no—
1537#107—26no—
1538#107C24×C414yes—
1539#107C24×C418yes—
1540#107C24×C414yes—
1541#106—216no—
1542#106—232no—
1543C4⋊C8—24no—
1544C4⋊C8—28no—
1545C4⋊C8—24no—
1546C4⋊C8—46no—
1547C4⋊C8—412no—
1548C4⋊C8—46no—
1549C4⋊C8—416no—
1550C4⋊C8—432no—
1551C4⋊C8—416no—
1552C4⋊C8—432no—
1553C4⋊C8C22×C22⋊C4116yes—
1554C4⋊C8C22×C22⋊C4132yes—
1555C4⋊C8C22×C22⋊C4116yes—
1556C4⋊C8C22×C22⋊C4132yes—
1557#103—24no—
1558#103—216no—
1559#103—212no—
1560#103—232no—
1561#102—24no—
1562#102—28no—
1563#102—212no—
1564#102—232no—
1565#102—232no—
1566#102—224no—
1567#102—216no—
1568#102—232no—
1569#102—232no—
1570C22⋊C8C22×C22⋊C4132yes—
1571C22⋊C8C22×C22⋊C4132yes—
1572C22⋊C8C22×C22⋊C4132yes—
1573C4×C8C22×C22⋊C416yes—
1574C4×C8C22×C22⋊C4124yes—
1575C4×C8C22×C22⋊C4112yes—
1576C4×C8C22×C22⋊C4124yes—
1577C4×C8C22×C22⋊C4124yes—
1578C4×C8C22×C22⋊C4112yes—
1579C4×C8C22×C22⋊C4112yes—
1580C4×C8C24×C413yes—
1581C4×C8C24×C418yes—
1582C4×C8C24×C414yes—
1583C4×C8C23×D413yes—
1584C4×C8C23×D418yes—
1585C4×C8C23×D414yes—
1586C4×C8C23×D414yes—
1587C4×C8C23×D413yes—
1588C4×C8C23×D418yes—
1589C4×C8C2611yescharacteristic
1590C24—28no—
1591C24—28no—
1592C24—24no—
1593C24—24no—
1594C24—24no—
1595C24—48no—
1596C24—46no—
1597C24—412no—
1598C24—432no—
1599C24—896no—
1600C24—84no—
1601C24—84no—
1602C24—88no—
1603C24—896no—
1604C24—88no—
1605C24—88no—
1606C24—1648no—
1607C24—16128no—
1608C24C2×#360116yes—
1609C24C22×#10216yes—
1610C24C22×#102112yes—
1611C24C22×#10211yescharacteristic
1612#41—264no—
1613#41—2192no—
1614#41—432no—
1615#41—816no—
1616#41—896no—
1617#41—1696no—
1618#41—1632no—
1619C2×Q8—248no—
1620C2×Q8—24no—
1621C2×Q8—46no—
1622C2×Q8—416no—
1623C2×Q8—412no—
1624C2×Q8—412no—
1625C2×Q8—812no—
1626C2×Q8—1624no—
1627C2×Q8C22×#102116yes—
1628C2×D4—296no—
1629C2×D4—224no—
1630C2×D4—24no—
1631C2×D4—28no—
1632C2×D4—464no—
1633C2×D4—416no—
1634C2×D4—432no—
1635C2×D4—432no—
1636C2×D4—424no—
1637C2×D4—424no—
1638C2×D4—46no—
1639C2×D4—432no—
1640C2×D4—416no—
1641C2×D4—412no—
1642C2×D4—416no—
1643C2×D4—412no—
1644C2×D4—424no—
1645C2×D4—832no—
1646C2×D4—8192no—
1647C2×D4—896no—
1648C2×D4—848no—
1649C2×D4—896no—
1650C2×D4—8256no—
1651C2×D4—824no—
1652C2×D4—848no—
1653C2×D4—1624no—
1654C2×D4—1648no—
1655C2×D4C2×#360196yes—
1656C2×D4C22×#102132yes—
1657C2×D4C22×#102116yes—
1658C22×C4—24no—
1659C22×C4—28no—
1660C22×C4—24no—
1661C22×C4—248no—
1662C22×C4—28no—
1663C22×C4—248no—
1664C22×C4—24no—
1665C22×C4—28no—
1666C22×C4—24no—
1667C22×C4—248no—
1668C22×C4—224no—
1669C22×C4—224no—
1670C22×C4—224no—
1671C22×C4—224no—
1672C22×C4—212no—
1673C22×C4—224no—
1674C22×C4—212no—
1675C22×C4—424no—
1676C22×C4—424no—
1677C22×C4—412no—
1678C22×C4—412no—
1679C22×C4—46no—
1680C22×C4—46no—
1681C22×C4—46no—
1682C22×C4—412no—
1683C22×C4—432no—
1684C22×C4—44no—
1685C22×C4—48no—
1686C22×C4—416no—
1687C22×C4—416no—
1688C22×C4—412no—
1689C22×C4—424no—
1690C22×C4—432no—
1691C22×C4—432no—
1692C22×C4—848no—
1693C22×C4—824no—
1694C22×C4—824no—
1695C22×C4—848no—
1696C22×C4—848no—
1697C22×C4—84no—
1698C22×C4—84no—
1699C22×C4—84no—
1700C22×C4—88no—
1701C22×C4—848no—
1702C22×C4—1648no—
1703C22×C4—1648no—
1704C22×C4—16192no—
1705C22×C4—1664no—
1706C22×C4—1648no—
1707C22×C4C2×#36018yes—
1708C22×C4#288014yes—
1709C22×C4C22×#10213yes—
1710C22×C4C22×#10216yes—
1711C22×C4C22×#102112yes—
1712C22×C4C22×#10216yes—
1713C22×C4C22×#10213yes—
1714C22×C4C22×#102112yes—
1715C22×C4C22×#102124yes—
1716C22×C4C22×#102112yes—
1717C22×C4C22×#102112yes—
1718C22×C4C22×#102124yes—
1719C22×C4C22×#102112yes—
1720C22×C4C22×#102124yes—
1721C22×C4C22×#102112yes—
1722C22×C4C22×#10213yes—
1723C22×C4C22×#10216yes—
1724C22×C4#290114yes—
1725C22×C4C23×C22⋊C418yes—
1726C22×C4C23×C22⋊C414yes—
1727C22×C4C23×C22⋊C413yes—
1728C22×C4C23×D813yes—
1729C22×C4C23×D818yes—
1730C22×C4C23×D814yes—
1731C22×C4C23×SD1613yes—
1732C22×C4C23×SD1618yes—
1733C22×C4C23×SD1614yes—
1734Q16—24no—
1735Q16—24no—
1736Q16—412no—
1737SD16—432no—
1738SD16—832no—
1739D8—28no—
1740D8—24no—
1741D8—28no—
1742D8—224no—
1743D8—464no—
1744D8—424no—
1745D8—816no—
1746D8C22×#13118yescomplemented
1747M16—864no—
1748M16—832no—
1749C2×C8—224no—
1750C2×C8—212no—
1751C2×C8—26no—
1752C2×C8—26no—
1753C2×C8—212no—
1754C2×C8—224no—
1755C2×C8—28no—
1756C2×C8—24no—
1757C2×C8—28no—
1758C2×C8—24no—
1759C2×C8—248no—
1760C2×C8—224no—
1761C2×C8—48no—
1762C2×C8—44no—
1763C2×C8—412no—
1764C2×C8—424no—
1765C2×C8—44no—
1766C2×C8—44no—
1767C2×C8—48no—
1768C2×C8—812no—
1769C2×C8—824no—
1770C2×C8—812no—
1771C2×C8—864no—
1772C2×C8—832no—
1773C2×C8#2880112yes—
1774C2×C8C23×C22⋊C413yes—
1775C2×C8C23×C22⋊C418yes—
1776C2×C8C23×C22⋊C414yes—
1777C2×C8C23×C22⋊C414yes—
1778C2×C8C23×C22⋊C418yes—
1779C2×C8C23×C22⋊C413yes—
1780C2×C8C22×#13116yes—
1781C2×C8C2×#56816yes—
1782C2×C8C25×C411yescharacteristic
1783C2×C8C24×D411yescharacteristic
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—28no—
1787C4⋊C4—44no—
1788C4⋊C4—46no—
1789C4⋊C4—412no—
1790C4⋊C4—432no—
1791C4⋊C4—46no—
1792C4⋊C4—416no—
1793C4⋊C4—432no—
1794C4⋊C4—416no—
1795C4⋊C4—412no—
1796C4⋊C4—432no—
1797C4⋊C4—432no—
1798C4⋊C4C22×#102116yes—
1799C4⋊C4C22×#102116yes—
1800C4⋊C4C22×#102132yes—
1801C4⋊C4C22×#102132yes—
1802C22⋊C4—432no—
1803C22⋊C4—416no—
1804C22⋊C4—44no—
1805C22⋊C4—48no—
1806C22⋊C4—412no—
1807C22⋊C4—432no—
1808C22⋊C4—432no—
1809C22⋊C4—424no—
1810C22⋊C4—432no—
1811C22⋊C4—432no—
1812C22⋊C4—416no—
1813C22⋊C4—432no—
1814C22⋊C4—432no—
1815C22⋊C4C22×#102132yes—
1816C22⋊C4C22×#102132yes—
1817C22⋊C4C22×#102132yes—
1818C42—44no—
1819C42—416no—
1820C42—412no—
1821C42—416no—
1822C42C22×#102112yes—
1823C42C22×#10216yes—
1824C42C22×#102112yes—
1825C42C22×#102124yes—
1826C42C22×#102124yes—
1827C42C22×#102124yes—
1828C42C22×#102112yes—
1829C42C23×C22⋊C413yes—
1830C42C23×C22⋊C418yes—
1831C42C23×C22⋊C414yes—
1832C42C23×D813yes—
1833C42C23×D814yes—
1834C42C23×D818yes—
1835C42C23×SD1614yes—
1836C42C23×SD1613yes—
1837C42C23×SD1618yes—
1838C42C24×D411yescharacteristic
1839C16—28no—
1840C16—48no—
1841C16—44no—
1842C23—224no—
1843C23—224no—
1844C23—264no—
1845C23—212no—
1846C23—212no—
1847C23—212no—
1848C23—416no—
1849C23—424no—
1850C23—44no—
1851C23—48no—
1852C23—864no—
1853C23—812no—
1854C23—812no—
1855C23—832no—
1856C23—864no—
1857C23—824no—
1858C23—824no—
1859C23—824no—
1860C23—1632no—
1861C23—16384no—
1862C23—1632no—
1863C23#1750714yes—
1864C23C22×#360148yes—
1865C23C22×#36014yes—
1866C23#3339214yes—
1867C23C23×#10214yes—
1868C23C23×#10218yes—
1869C23C23×#10213yes—
1870Q8—232no—
1871Q8—44no—
1872Q8—44no—
1873Q8—812no—
1874Q8—1616no—
1875D4—264no—
1876D4—28no—
1877D4—424no—
1878D4—44no—
1879D4—48no—
1880D4—48no—
1881D4—864no—
1882D4—832no—
1883D4—864no—
1884D4—832no—
1885D4—824no—
1886D4—1616no—
1887D4—1632no—
1888D4C22×#360164yes—
1889C2×C4—26no—
1890C2×C4—216no—
1891C2×C4—26no—
1892C2×C4—224no—
1893C2×C4—248no—
1894C2×C4—26no—
1895C2×C4—26no—
1896C2×C4—224no—
1897C2×C4—212no—
1898C2×C4—212no—
1899C2×C4—224no—
1900C2×C4—28no—
1901C2×C4—224no—
1902C2×C4—248no—
1903C2×C4—224no—
1904C2×C4—28no—
1905C2×C4—24no—
1906C2×C4—28no—
1907C2×C4—24no—
1908C2×C4—424no—
1909C2×C4—48no—
1910C2×C4—412no—
1911C2×C4—44no—
1912C2×C4—44no—
1913C2×C4—44no—
1914C2×C4—44no—
1915C2×C4—48no—
1916C2×C4—832no—
1917C2×C4—88no—
1918C2×C4—824no—
1919C2×C4—816no—
1920C2×C4—848no—
1921C2×C4—812no—
1922C2×C4—812no—
1923C2×C4—824no—
1924C2×C4—812no—
1925C2×C4—832no—
1926C2×C4—1632no—
1927C2×C4—1632no—
1928C2×C4—1632no—
1929C2×C4#17507112yes—
1930C2×C4C22×#360124yes—
1931C2×C4C2×#288016yes—
1932C2×C4C23×#10213yes—
1933C2×C4C23×#10214yes—
1934C2×C4C23×#10213yes—
1935C2×C4C23×#10218yes—
1936C2×C4C23×#10214yes—
1937C2×C4C23×#10218yes—
1938C2×C4C23×#10218yes—
1939C2×C4C23×#10214yes—
1940C2×C4C23×#10213yes—
1941C2×C4C2×#290116yes—
1942C2×C4C24×C22⋊C411yescharacteristic
1943C2×C4C24×D811yescharacteristic
1944C2×C4C24×SD1611yescharacteristic
1945C8—21no—
1946C8—23no—
1947C8—24no—
1948C8—28no—
1949C8—28no—
1950C8—24no—
1951C8—84no—
1952C8—88no—
1953C8—84no—
1954C8C2×#288016yes—
1955C8C23×#13111yescharacteristic
1956C8C22×#56811yescharacteristic
1957C22—28no—
1958C22—28no—
1959C22—296no—
1960C22—24no—
1961C22—24no—
1962C22—24no—
1963C22—424no—
1964C22—48no—
1965C22—84no—
1966C22—84no—
1967C22—848no—
1968C22—88no—
1969C22—88no—
1970C22—88no—
1971C22—16128no—
1972C22—1648no—
1973C22#481415116yesdirect product factor
1974C22C2×#1750716yes—
1975C22C23×#360116yes—
1976C22C23×#36016yes—
1977C22C2×#3339216yes—
1978C22C24×#10211yescharacteristic
1979C4—21no—
1980C4—23no—
1981C4—28no—
1982C4—24no—
1983C4—21no—
1984C4—23no—
1985C4—28no—
1986C4—24no—
1987C4—28no—
1988C4—84no—
1989C4—88no—
1990C4—84no—
1991C4—84no—
1992C4C2×#1750716yes—
1993C4C23×#36018yes—
1994C4C22×#290111yescharacteristic
1995C4C22×#288011yescharacteristic
1996C2—216no—
1997C2—44no—
1998C2—88no—
1999C2—168no—
2000C2C22×#3339211yescharacteristic
2001C2C2×#481415112yesdirect product factor
2002C2C22×#1750711yescharacteristic
2003C2C24×#36011yescharacteristic
subgroupG/H
center, socleC24C22×#102
commutatorC2×C8C25×C4
Frattini, cosocleC4×C8C26
prime radicalC22×#61431C2
LCSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×#41 ◁ C22×C8×#41 ◁ G
LECSG ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C22×#33484C2semidirect
3. C22×#11598C2semidirect
4. C22×#11666C2semidirect
5. C22×#11677C2semidirect
6. C22×#11651C2semidirect
7. C22×#11680C2semidirect
8. C2×#481415C2direct (N × H)
9. C22×#17826C2semidirect
10. C22×#11663C2semidirect
11. C22×#11654C2semidirect
12. C23×#1333C2semidirect
36. C2×#33484C22semidirect
40. C22×#2163C22semidirect
41. C22×#2163C22semidirect
42. C22×C4×M32C22semidirect
43. C23×#346C22semidirect
45. C2×#17826C22semidirect
48. C22×#1566C22semidirect
49. C22×#1566C22semidirect
50. C23×#334C22semidirect
51. C23×#334C22semidirect
52. #481415C22direct (N × H)
53. C2×#11680C22semidirect
54. C2×#11677C22semidirect
55. C2×#11654C22semidirect
56. C2×#11651C22semidirect
57. C2×#11666C22semidirect
58. C2×#11663C22semidirect
59. C2×#11598C22semidirect
60. C22×#1334C22semidirect
61. C22×#1334C22semidirect
62. C22×#1334C22semidirect
66. C22×#1333C22semidirect
67. C22×#1333C22semidirect
68. C22×#1333C22semidirect
69. C22×#1333C22semidirect
70. C22×#1333C22semidirect
205. #33484C23semidirect
211. C2×#2163C23semidirect
212. C2×#2163C23semidirect
218. C2×C4×M32C23semidirect
224. C22×#346C23semidirect
227. #17826C23semidirect
232. C2×#1566C23semidirect
233. C2×#1566C23semidirect
243. C22×#334C23semidirect
244. C22×#334C23semidirect
245. #11680C23semidirect
246. #11677C23semidirect
247. #11666C23semidirect
248. #11663C23semidirect
249. #11654C23semidirect
250. #11651C23semidirect
251. #11598C23semidirect
252. C2×#1334C23semidirect
253. C2×#1334C23semidirect
254. C2×#1334C23semidirect
258. C2×#1333C23semidirect
259. C2×#1333C23semidirect
260. C2×#1333C23semidirect
261. C2×#1333C23semidirect
262. C2×#1333C23semidirect
611. #2163C24semidirect
612. #2163C24semidirect
618. C4×M32C24semidirect
627. C2×#346C24semidirect
633. #1566C24semidirect
634. #1566C24semidirect
647. C2×#334C24semidirect
648. C2×#334C24semidirect
649. #1334C24semidirect
650. #1334C24semidirect
651. #1334C24semidirect
655. #1333C24semidirect
656. #1333C24semidirect
657. #1333C24semidirect
658. #1333C24semidirect
731. C22×D8#131semidirect
1306. C2×D8C2×#131semidirect
1746. D8C22×#131semidirect
1973. C22#481415direct (N × H)
2001. C2C2×#481415direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#614312
C22×#334842
C22×#115982
C22×#116662
C22×#116772
C22×#116512
C22×#116802
C2×#4814152
C22×#178262
C22×#116632
C22×#116542
C23×#13332