Finite Group Databasebeta

← C2×#10577535 #72315700

Subgroups — C2×#10577535 #72315700

Order 1024.

68577 conjugacy classes of subgroups.

The subgroup lattice has 2149 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#62773C212yesmaximal, complemented
2#10577535C2164yesmaximal, direct product factor
3C2×#62252C214yesmaximal, complemented
4C2×#62251C214yesmaximal, complemented
5C2×#62250C218yesmaximal, complemented
6C2×#62249C212yesmaximal, complemented
7C2×#62248C212yesmaximal, complemented
8C2×#62247C214yesmaximal, complemented
9C2×#62244C214yesmaximal, complemented
10C2×#62246C211yesmaximal, characteristic, complemented
11C2×#62245C211yesmaximal, characteristic, complemented
12C2×#62243C212yesmaximal, complemented
13C2×#61234C214yesmaximal, complemented
14C2×#61124C218yesmaximal, complemented
15C2×D4×#135C214yesmaximal, complemented
16C2×#60900C212yesmaximal, complemented
17C2×#60734C214yesmaximal, complemented
18C2×#60673C212yesmaximal, complemented
19C22×#3050C214yesmaximal, complemented
20C23×C8×D4C211yesmaximal, characteristic, complemented
21C23×#135C2214yescomplemented
22C25×C8C2212yescomplemented
23#62773—232no—
24#62773C22164yescomplemented
25C2×#3520C2218yescomplemented
26C2×#3519C2218yescomplemented
27C2×#3513—28no—
28C2×#3506C2214yescomplemented
29C2×#3492—22no—
30C2×#3505C2218yescomplemented
31C2×#3490—24no—
32C2×#3501C2212yes—
33C2×#3496C2212yes—
34C2×#3484—22no—
35C2×#3481—28no—
36C2×#3475C2218yescomplemented
37C2×D4×#41C2218yescomplemented
38C2×#3460—22no—
39C2×#3459—24no—
40C2×#3444C2214yescomplemented
41C22×#525C2218yescomplemented
42C2×C4×H(5,𝔽2)—22no—
43C23×C4×D4C2211yescharacteristic
44#62252C221128yescomplemented
45#62251C221128yescomplemented
46#62250C221256yescomplemented
47#62249C22164yescomplemented
48#62248C22164yescomplemented
49#62247C221128yescomplemented
50#62246C22132yescomplemented
51#62245C22132yescomplemented
52#62244C221128yescomplemented
53#62243C22164yescomplemented
54#61234C221128yescomplemented
55C2×#3342C2214yescomplemented
56C2×#3341C2214yescomplemented
57C2×#3340C2218yescomplemented
58C2×#3339C2218yescomplemented
59C2×#3338C2214yescomplemented
60C2×#3337C22116yescomplemented
61C2×#3336C2218yescomplemented
62C2×#3335C2218yescomplemented
63C2×#3334C2214yescomplemented
64#61124C221256yescomplemented
65C2×#3305C2218yescomplemented
66C2×#3304C2218yescomplemented
67C2×#3303C2218yescomplemented
68C2×#3302C2218yescomplemented
69C2×#3301C22116yescomplemented
70C2×#3300C22116yescomplemented
71C2×#3299C2218yescomplemented
72C2×#3298C2218yescomplemented
73C2×#3297C22116yescomplemented
74C2×#3296C22116yescomplemented
75C2×#3295C2218yescomplemented
76C2×#3294C2218yescomplemented
77D4×#135C221128yescomplemented
78C2×#3287C2214yescomplemented
79C2×D4×Q16C2214yescomplemented
80C2×#3285C2218yescomplemented
81C2×#3284C2218yescomplemented
82C2×#3283C2214yescomplemented
83C2×#3282C22116yescomplemented
84C2×D4×SD16C2218yescomplemented
85C2×#3280C2218yescomplemented
86C2×D4×D8C2214yescomplemented
87#60900C22164yescomplemented
88C2×#3250C2218yescomplemented
89C2×#3249C2212yescomplemented
90C2×#3248C2218yescomplemented
91C2×#3247C2218yescomplemented
92C2×#3246C2214yescomplemented
93C2×#3245C2212yescomplemented
94#60734C221128yescomplemented
95C2×#3191C2218yescomplemented
96C2×#3191C2218yescomplemented
97C2×#3190C22116yescomplemented
98C2×#3189C2214yescomplemented
99C2×#3188C22116yescomplemented
100C2×#3187C2218yescomplemented
101C2×#3186C2214yescomplemented
102#60673C22164yescomplemented
103C2×#3170C2212yescomplemented
104C2×#3170C2212yescomplemented
105C2×#3169C2212yescomplemented
106C2×#3169C2212yescomplemented
107C2×#3168C2214yescomplemented
108C2×#3168C2214yescomplemented
109C2×#3168C2214yescomplemented
110C2×#3168C2214yescomplemented
111C2×#3167C2214yescomplemented
112C2×#3167C2214yescomplemented
113C2×#3160C2212yescomplemented
114C2×#3147C2212yescomplemented
115C2×#3131C2214yescomplemented
116C2×#3091C22116yescomplemented
117C2×#3076C2218yescomplemented
118C2×#3050C2214yescomplemented
119C2×#3050C2218yescomplemented
120C2×#3050C2214yescomplemented
121C2×#3050C2218yescomplemented
122C2×#3050C2218yescomplemented
123C2×#3050C2218yescomplemented
124C2×#3050C2218yescomplemented
125C2×#3050C2218yescomplemented
126C2×#3050C2218yescomplemented
127C2×#3050C221128yescomplemented
128C22×#467C2214yescomplemented
129C22×#467C2214yescomplemented
130C22×#466C2214yescomplemented
131C22×#466C2214yescomplemented
132C22×#465C2218yescomplemented
133C22×#465C2218yescomplemented
134C2×#3035C2218yescomplemented
135C2×#3002C22116yescomplemented
136C2×C4×#135C2214yescomplemented
137C2×C4×#135C2214yescomplemented
138C22×C8×D4C2211yescharacteristic
139C22×C8×D4C2211yescharacteristic
140C22×C8×D4C2212yescomplemented
141C22×C8×D4C2212yescomplemented
142C22×C8×D4C2211yescharacteristic, complemented
143C22×C8×D4C2211yescharacteristic, complemented
144C22×C8×D4C2214yescomplemented
145C22×C8×D4C2214yescomplemented
146C22×C8×D4C2214yescomplemented
147C22×C8×D4C2214yescomplemented
148C22×C8×D4C22132yescomplemented
149C22×#427C2214yescomplemented
150C23×C4⋊C8C2211yescharacteristic, complemented
151C22×#416C2218yescomplemented
152C23×C22⋊C8C2212yescomplemented
153C23×C4×C8C2211yescharacteristic, complemented
154C22×H(5,𝔽2)—22no—
155C23×#41C2318yes—
156C24×D4D411yescharacteristic
157C25×C4C2312yes—
158C22×#135—432no—
159C22×#135C2314yes—
160C22×#135C2318yes—
161C22×#135C2314yes—
162C22×#135C2318yescomplemented
163C22×#135C2318yescomplemented
164C22×#135C23164yescomplemented
165C23×Q16C2314yescomplemented
166C23×SD16C2318yescomplemented
167C23×D8C2314yescomplemented
168C24×C8—416no—
169C24×C8C2311yescharacteristic
170C24×C8C2314yes—
171C24×C8C2312yes—
172C24×C8C2314yes—
173C24×C8C2312yes—
174C24×C8C2314yes—
175C24×C8C2312yes—
176C24×C8C2312yes—
177C24×C8C2312yes—
178C24×C8C2311yescharacteristic
179C24×C8C2314yes—
180C24×C8C23132yescomplemented
181#3520—264no—
182#3520C231128yescomplemented
183#3519—264no—
184#3519C231128yescomplemented
185#3513—2256no—
186#3506—232no—
187#3506C23164yescomplemented
188#3505—264no—
189#3505C231128yescomplemented
190#3501—216no—
191#3501C23132yes—
192#3496—216no—
193#3496C23132yes—
194#3492—264no—
195#3490—2128no—
196#3484—264no—
197#3481—2256no—
198C2×#559—28no—
199#3475—264no—
200#3475C231128yescomplemented
201C2×#556C2318yes—
202C2×#555C2318yes—
203C2×#554—28no—
204C2×#554—28no—
205C2×#554C2318yes—
206C2×#553—216no—
207C2×#553—28no—
208C2×#553—28no—
209C2×#553C23116yes—
210C2×#552—28no—
211C2×#552C23116yes—
212C2×#551—216no—
213C2×#551—216no—
214C2×#551—216no—
215D4×#41—264no—
216D4×#41C231128yescomplemented
217C2×#550C2318yes—
218C2×D4×Q8C2318yes—
219C2×#548C23116yes—
220C2×#547—28no—
221C2×#547C2318yes—
222C2×#547C2318yes—
223C2×#546—28no—
224C2×#546—28no—
225C2×#546—28no—
226C2×#546—216no—
227C2×#546—216no—
228C2×#546C23116yes—
229C2×D42—28no—
230C2×D42—28no—
231C2×D42C2318yes—
232#3460—264no—
233#3459—2128no—
234C2×#544—22no—
235C2×#543—24no—
236C2×#542—28no—
237C2×#540—28no—
238C2×#539—216no—
239C2×#539—28no—
240C2×#538—216no—
241C2×#538—28no—
242C2×#538—28no—
243C2×#537—22no—
244C2×#535—24no—
245C2×#534—28no—
246C2×#534—24no—
247#3444—232no—
248#3444C23164yescomplemented
249C2×#533C2314yes—
250C2×#533C2314yes—
251C2×#533C2314yes—
252C2×#532—28no—
253C2×#532C2314yes—
254C2×#532C2314yes—
255C2×#532C2314yes—
256C2×#529—24no—
257C2×#529—24no—
258C2×#529—24no—
259C2×#529—24no—
260C2×#529—216no—
261C2×#529—28no—
262C2×#529C2318yes—
263C2×#529C2318yes—
264C2×#525—24no—
265C2×#525—24no—
266C2×#525—28no—
267C2×#525—28no—
268C2×#525—264no—
269C2×#525—28no—
270C2×#525—28no—
271C2×#525—216no—
272C2×#525C2318yes—
273C2×#525C23116yes—
274C2×#525C23116yes—
275C2×#525C23116yes—
276C2×#525C231128yescomplemented
277C22×#123—28no—
278C22×C22⋊Q8C2318yes—
279C22×C22⋊Q8C2318yes—
280C22×#121C2318yes—
281C22×#121C2318yes—
282C22×#120—28no—
283C4×H(5,𝔽2)—264no—
284C2×#520—28no—
285C2×#520—24no—
286C2×#518—22no—
287C2×#518—28no—
288C2×#518—28no—
289C2×C4×#41—24no—
290C2×C4×#41—24no—
291C2×C4×#41—28no—
292C2×C4×#41C2318yes—
293C22×C4×D4—28no—
294C22×C4×D4—28no—
295C22×C4×D4—28no—
296C22×C4×D4D414yes—
297C22×C4×D4D4116yes—
298C22×C4×D4D411yescharacteristic
299C22×C4×D4D412yes—
300C22×C4×D4D411yescharacteristic
301C22×C4×D4D414yes—
302C22×C4×D4C2311yescharacteristic
303C22×C4×D4C2312yes—
304C22×C4×D4C2311yescharacteristic
305C22×C4×D4C2314yes—
306C22×C4×D4C23116yes—
307C22×C4×D4C2314yes—
308C22×#117C2318yes—
309C23×C4⋊C4D411yescharacteristic
310C23×C22⋊C4D412yes—
311C23×C42C2311yescharacteristic
312#3342C23164yescomplemented
313#3341C23164yescomplemented
314#3340C231128yescomplemented
315#3339C231128yescomplemented
316#3338C23164yescomplemented
317#3337C231256yescomplemented
318#3336C231128yescomplemented
319#3335C231128yescomplemented
320#3334C23164yescomplemented
321#3305C231128yescomplemented
322#3304C231128yescomplemented
323#3303C231128yescomplemented
324#3302C231128yescomplemented
325#3301C231256yescomplemented
326#3300C231256yescomplemented
327#3299C231128yescomplemented
328#3298C231128yescomplemented
329#3297C231256yescomplemented
330#3296C231256yescomplemented
331#3295C231128yescomplemented
332#3294C231128yescomplemented
333#3287C23164yescomplemented
334D4×Q16C23164yescomplemented
335#3285C231128yescomplemented
336#3284C231128yescomplemented
337#3283C23164yescomplemented
338#3282C231256yescomplemented
339D4×SD16C231128yescomplemented
340#3280C231128yescomplemented
341D4×D8C23164yescomplemented
342#3250C231128yescomplemented
343#3249C23132yescomplemented
344#3248C231128yescomplemented
345#3247C231128yescomplemented
346#3246C23164yescomplemented
347#3245C23132yescomplemented
348#3191C231128yescomplemented
349#3191C231128yescomplemented
350#3190C231256yescomplemented
351#3189C23164yescomplemented
352#3188C231256yescomplemented
353#3187C231128yescomplemented
354#3186C23164yescomplemented
355#3170C23132yescomplemented
356#3170C23132yescomplemented
357#3169C23132yescomplemented
358#3169C23132yescomplemented
359#3168C23164yescomplemented
360#3168C23164yescomplemented
361#3168C23164yescomplemented
362#3168C23164yescomplemented
363#3167C23164yescomplemented
364#3167C23164yescomplemented
365#3160C23132yescomplemented
366C2×#500C2312yescomplemented
367C2×#500C2312yescomplemented
368C2×#499C2314yescomplemented
369C2×#499C2314yescomplemented
370C2×#498C2314yescomplemented
371#3147C23132yescomplemented
372C2×#495C2314yescomplemented
373C2×#495C2314yescomplemented
374C2×#494C2312yescomplemented
375C2×#493C2312yescomplemented
376C2×#492C2314yescomplemented
377#3131C23164yescomplemented
378C2×#488C2318yescomplemented
379C2×#488C2318yescomplemented
380C2×#487C2314yescomplemented
381C2×#487C2314yescomplemented
382C2×#486C2314yescomplemented
383C2×#486C2314yescomplemented
384#3091C231256yescomplemented
385C2×#484C23116yescomplemented
386C2×#481C23116yescomplemented
387C2×#485C23116yescomplemented
388C2×#485C23116yescomplemented
389C2×#482C23116yescomplemented
390C2×#482C23116yescomplemented
391C2×#483C23116yescomplemented
392C2×#480C23116yescomplemented
393#3076C231128yescomplemented
394C2×#479C23116yescomplemented
395C2×#477C2318yescomplemented
396C2×#475C2318yescomplemented
397C2×#478C23116yescomplemented
398C2×#476C2318yescomplemented
399C2×#474C2318yescomplemented
400#3050C23164yescomplemented
401#3050C23164yescomplemented
402#3050C231128yescomplemented
403#3050C231128yescomplemented
404#3050C231128yescomplemented
405#3050C231128yescomplemented
406#3050C231128yescomplemented
407#3050C231128yescomplemented
408#3050C231128yescomplemented
409C2×#467C2314yes—
410C2×#467C2314yes—
411C2×#467C2314yes—
412C2×#467C2314yes—
413C2×#467C2318yes—
414C2×#467C2318yes—
415C2×#467C2318yescomplemented
416C2×#467C2318yescomplemented
417C2×#467C2318yescomplemented
418C2×#467C2318yescomplemented
419C2×#467C23164yescomplemented
420C2×#467C23164yescomplemented
421C2×#466C2314yes—
422C2×#466C2314yes—
423C2×#466C2318yes—
424C2×#466C2318yes—
425C2×#466C2314yes—
426C2×#466C2314yes—
427C2×#466C2318yescomplemented
428C2×#466C2318yescomplemented
429C2×#466C2318yescomplemented
430C2×#466C2318yescomplemented
431C2×#466C23164yescomplemented
432C2×#466C23164yescomplemented
433C2×#465C2318yes—
434C2×#465C2318yes—
435C2×#465C23116yes—
436C2×#465C23116yes—
437C2×#465C2318yes—
438C2×#465C2318yes—
439C2×#465C23116yescomplemented
440C2×#465C23116yescomplemented
441C2×#465C23116yescomplemented
442C2×#465C23116yescomplemented
443C2×#465C231128yescomplemented
444C2×#465C231128yescomplemented
445#3035C231128yescomplemented
446C2×#464C23116yescomplemented
447C2×#462C2318yescomplemented
448C2×#460C2318yescomplemented
449C2×#463C23116yescomplemented
450C2×#461C2318yescomplemented
451C2×#459C2318yescomplemented
452#3002C231256yescomplemented
453C2×#452C23116yescomplemented
454C2×#452C23116yescomplemented
455C2×#449C23116yescomplemented
456C2×#449C23116yescomplemented
457C2×#451C23116yescomplemented
458C2×#448C23116yescomplemented
459C2×#450C23116yescomplemented
460C2×#447C23116yescomplemented
461C4×#135C23164yescomplemented
462C4×#135C23164yescomplemented
463C2×C4×Q16C2314yescomplemented
464C2×C4×Q16C2314yescomplemented
465C2×C4×Q16C2314yescomplemented
466C2×C4×Q16C2314yescomplemented
467C2×C4×SD16C2318yescomplemented
468C2×C4×SD16C2318yescomplemented
469C2×C4×SD16C2318yescomplemented
470C2×C4×SD16C2318yescomplemented
471C2×C4×D8C2314yescomplemented
472C2×C4×D8C2314yescomplemented
473C2×C4×D8C2314yescomplemented
474C2×C4×D8C2314yescomplemented
475C2×C8×D4C23116yes—
476C2×C8×D4C23116yes—
477C2×C8×D4C2314yes—
478C2×C8×D4C2314yes—
479C2×C8×D4C2318yes—
480C2×C8×D4C2318yes—
481C2×C8×D4C2314yes—
482C2×C8×D4C2314yes—
483C2×C8×D4C2314yes—
484C2×C8×D4C2314yes—
485C2×C8×D4C2318yes—
486C2×C8×D4C2318yes—
487C2×C8×D4C2314yes—
488C2×C8×D4C2314yes—
489C2×C8×D4C23132yescomplemented
490C2×C8×D4C23132yescomplemented
491C2×C8×D4C23116yescomplemented
492C2×C8×D4C23116yescomplemented
493C2×C8×D4C23164yescomplemented
494C2×C8×D4C23164yescomplemented
495C2×C8×D4C23164yescomplemented
496C2×C8×D4C23164yescomplemented
497C2×#427C2314yes—
498C2×#427C2318yes—
499C2×#427C2314yes—
500C2×#427C2318yescomplemented
501C2×#427C2318yescomplemented
502C2×#427C23164yescomplemented
503C22×#107C2314yescomplemented
504C22×#107C2314yescomplemented
505C22×#106C2318yescomplemented
506C22×C4⋊C8C2314yes—
507C22×C4⋊C8C2311yescharacteristic
508C22×C4⋊C8C2311yescharacteristic
509C22×C4⋊C8C2314yes—
510C22×C4⋊C8C2312yes—
511C22×C4⋊C8C23116yescomplemented
512C2×#416C2318yes—
513C2×#416C23116yes—
514C2×#416C2318yes—
515C2×#416C23116yescomplemented
516C2×#416C23116yescomplemented
517C2×#416C231128yescomplemented
518C22×#103C2318yescomplemented
519C22×#103C2318yescomplemented
520C22×#102C2318yescomplemented
521C22×#102C2318yescomplemented
522C22×C22⋊C8C2312yes—
523C22×C22⋊C8C2312yes—
524C22×C22⋊C8C2318yes—
525C22×C22⋊C8C2312yes—
526C22×C22⋊C8C2312yes—
527C22×C22⋊C8C2318yes—
528C22×C22⋊C8C23132yescomplemented
529C22×C4×C8C2311yescharacteristic
530C22×C4×C8C2312yes—
531C22×C4×C8C2312yes—
532C22×C4×C8C2312yes—
533C22×C4×C8C2311yescharacteristic
534C22×C4×C8C2312yes—
535C22×C4×C8C2311yescharacteristic
536C22×C4×C8C2311yescharacteristic
537C22×C4×C8C23116yescomplemented
538C26C2×D412yes—
539C2×H(5,𝔽2)—232no—
540C2×H(5,𝔽2)—432no—
541C22×#41—28no—
542C22×#41—24no—
543C22×#41—28no—
544C22×#41—28no—
545C22×#41—232no—
546C22×#41—24no—
547C22×#41—432no—
548C22×#41—432no—
549C22×#41C2418yes—
550C22×#41C24116yes—
551C22×#41C24164yes—
552C23×Q8C2418yes—
553C23×D4—216no—
554C23×D4—28no—
555C23×D4—28no—
556C23×D4—28no—
557C23×D4—28no—
558C23×D4C2×D412yes—
559C23×D4C2×D411yescharacteristic
560C23×D4C2×D414yes—
561C23×D4C2×D414yes—
562C23×D4C2×D4116yes—
563C23×D4C2×D411yescharacteristic
564C23×D4C2418yes—
565C24×C4—28no—
566C24×C4—48no—
567C24×C4—48no—
568C24×C4C2×D411yescharacteristic
569C24×C4C2×D412yes—
570C24×C4C2×D412yes—
571C24×C4C2×D414yes—
572C24×C4C2×D414yes—
573C24×C4C2×D4116yes—
574C24×C4C2×D412yes—
575C24×C4C2×D411yescharacteristic
576C24×C4C2411yescharacteristic
577C24×C4C2414yes—
578C24×C4C2412yes—
579C24×C4C2414yes—
580C24×C4C2412yes—
581C24×C4C24116yes—
582C2×#135—232no—
583C2×#135—432no—
584C2×#135—432no—
585C2×#135—4256no—
586C2×#135—432no—
587C2×#135—416no—
588C2×#135C24132yes—
589C2×#135C24132yes—
590C2×#135C24164yes—
591C2×#135C24164yescomplemented
592C2×#135C24164yescomplemented
593C22×Q16—416no—
594C22×Q16C2414yes—
595C22×Q16C2414yes—
596C22×Q16C2418yes—
597C22×Q16C24132yescomplemented
598C22×SD16—432no—
599C22×SD16C2418yes—
600C22×SD16C2418yes—
601C22×SD16C24116yes—
602C22×SD16C24164yescomplemented
603C22×D8—416no—
604C22×D8C2414yes—
605C22×D8C2414yes—
606C22×D8C2418yes—
607C22×D8C24132yescomplemented
608C23×C8—28no—
609C23×C8—232no—
610C23×C8—48no—
611C23×C8—416no—
612C23×C8—48no—
613C23×C8—416no—
614C23×C8—48no—
615C23×C8—48no—
616C23×C8—4128no—
617C23×C8—416no—
618C23×C8—48no—
619C23×C8—44no—
620C23×C8C2412yes—
621C23×C8C2411yescharacteristic
622C23×C8C2411yescharacteristic
623C23×C8C2411yescharacteristic
624C23×C8C2411yescharacteristic
625C23×C8C2411yescharacteristic
626C23×C8C2418yes—
627C23×C8C2414yes—
628C23×C8C2414yes—
629C23×C8C2414yes—
630C23×C8C2414yes—
631C23×C8C2414yes—
632C23×C8C24132yes—
633C23×C8C2411yescharacteristic
634C23×C8C2412yes—
635C23×C8C2411yescharacteristic
636C23×C8C2418yes—
637C23×C8C2412yes—
638C23×C8C2414yes—
639C23×C8C2412yes—
640C23×C8C24116yes—
641C23×C8C2414yes—
642C23×C8C2414yes—
643C23×C8C2414yes—
644C23×C8C2414yes—
645C23×C8C24132yes—
646C23×C8C24116yes—
647C23×C8C24116yes—
648C23×C8C24132yes—
649C23×C8C24132yes—
650C23×C8C24116yes—
651C23×C8C24116yes—
652C23×C8C2411yescharacteristic
653#559—2128no—
654#556—232no—
655#556C24164yes—
656#555—232no—
657#555C24164yes—
658#554—2128no—
659#554—232no—
660#554—2128no—
661#554C24164yes—
662#553—2256no—
663#553—2128no—
664#553—264no—
665#553—2128no—
666#553C241128yes—
667#552—264no—
668#552—2128no—
669#552C241128yes—
670#551—2256no—
671#551—2256no—
672#551—2256no—
673#550—232no—
674#550C24164yes—
675D4×Q8—232no—
676D4×Q8C24164yes—
677#548—264no—
678#548C241128yes—
679#547—232no—
680#547—232no—
681#547—2128no—
682#547C24164yes—
683#547C24164yes—
684#546—2128no—
685#546—2128no—
686#546—2128no—
687#546—264no—
688#546—2256no—
689#546—2256no—
690#546C241128yes—
691D42—2128no—
692D42—2128no—
693D42—232no—
694D42C24164yes—
695#544—232no—
696#543—264no—
697#542—2128no—
698#540—2128no—
699#539—2256no—
700#539—2128no—
701#538—2256no—
702#538—2128no—
703#538—2128no—
704#537—232no—
705#535—264no—
706#534—2128no—
707#534—264no—
708#533—216no—
709#533—216no—
710#533—216no—
711#533C24132yes—
712#533C24132yes—
713#533C24132yes—
714#532—2128no—
715#532—216no—
716#532—216no—
717#532—216no—
718#532C24132yes—
719#532C24132yes—
720#532C24132yes—
721C2×C4⋊Q8—28no—
722C2×C4⋊Q8C2414yes—
723C2×C4⋊Q8C2414yes—
724C2×C4⋊Q8C2414yes—
725C2×#127—28no—
726C2×#127C2414yes—
727#529—2256no—
728#529—2128no—
729#529—264no—
730#529—264no—
731#529—264no—
732#529—264no—
733#529—232no—
734#529—232no—
735#529C24164yes—
736#529C24164yes—
737C2×#126—216no—
738C2×#126—216no—
739C2×#126—216no—
740C2×#126—28no—
741C2×#126—28no—
742C2×#125—216no—
743C2×#125—28no—
744C2×#125—24no—
745C2×#125—24no—
746C2×#125C2418yes—
747C2×#124—28no—
748C2×#124—216no—
749C2×#124—216no—
750C2×#124—24no—
751C2×#124—24no—
752C2×#124C2418yes—
753#525—232no—
754#525—264no—
755#525—264no—
756#525—264no—
757#525—2128no—
758#525—2128no—
759#525—2128no—
760#525—2128no—
761#525—264no—
762#525—264no—
763#525—2256no—
764#525C241128yes—
765#525C24164yes—
766#525C241128yes—
767#525C241128yes—
768C2×#123—216no—
769C2×#123—28no—
770C2×#123—216no—
771C2×#123—216no—
772C2×#123—216no—
773C2×#123—2128no—
774C2×#123—28no—
775C2×#123—28no—
776C2×#123—216no—
777C2×#123—216no—
778C2×#123—216no—
779C2×#123—216no—
780C2×C22⋊Q8—28no—
781C2×C22⋊Q8—28no—
782C2×C22⋊Q8—28no—
783C2×C22⋊Q8—28no—
784C2×C22⋊Q8—232no—
785C2×C22⋊Q8—232no—
786C2×C22⋊Q8—24no—
787C2×C22⋊Q8—24no—
788C2×C22⋊Q8—24no—
789C2×C22⋊Q8—24no—
790C2×C22⋊Q8—216no—
791C2×C22⋊Q8—28no—
792C2×C22⋊Q8—216no—
793C2×C22⋊Q8—216no—
794C2×C22⋊Q8C24116yes—
795C2×C22⋊Q8C24116yes—
796C2×C22⋊Q8C2418yes—
797C2×C22⋊Q8C2418yes—
798C2×C22⋊Q8C24164yes—
799C2×C22⋊Q8C24164yes—
800C2×#121—216no—
801C2×#121—216no—
802C2×#121—28no—
803C2×#121—28no—
804C2×#121—28no—
805C2×#121—28no—
806C2×#121—28no—
807C2×#121—28no—
808C2×#121—232no—
809C2×#121—232no—
810C2×#121—24no—
811C2×#121—24no—
812C2×#121—24no—
813C2×#121—24no—
814C2×#121—28no—
815C2×#121—216no—
816C2×#121—216no—
817C2×#121C24116yes—
818C2×#121C24116yes—
819C2×#121C2418yes—
820C2×#121C2418yes—
821C2×#121C24164yes—
822C2×#121C24164yes—
823C2×#120—28no—
824C2×#120—216no—
825C2×#120—216no—
826C2×#120—216no—
827C2×#120—2128no—
828C2×#120—216no—
829C2×#120—216no—
830#520—2128no—
831#520—264no—
832#518—232no—
833#518—2128no—
834#518—2128no—
835C4×#41—2128no—
836C4×#41—264no—
837C4×#41—264no—
838C4×#41—232no—
839C4×#41C24164yes—
840C2×C4×Q8—28no—
841C2×C4×Q8—24no—
842C2×C4×Q8—24no—
843C2×C4×Q8—24no—
844C2×C4×Q8—24no—
845C2×C4×Q8C2418yes—
846C2×C4×Q8C2418yes—
847C2×C4×D4—28no—
848C2×C4×D4—28no—
849C2×C4×D4—28no—
850C2×C4×D4—28no—
851C2×C4×D4—216no—
852C2×C4×D4—216no—
853C2×C4×D4—216no—
854C2×C4×D4—2128no—
855C2×C4×D4—216no—
856C2×C4×D4—216no—
857C2×C4×D4—216no—
858C2×C4×D4—2128no—
859C2×C4×D4—28no—
860C2×C4×D4—28no—
861C2×C4×D4—28no—
862C2×C4×D4—28no—
863C2×C4×D4—2128no—
864C2×C4×D4—28no—
865C2×C4×D4—216no—
866C2×C4×D4—216no—
867C2×C4×D4—24no—
868C2×C4×D4—24no—
869C2×C4×D4—24no—
870C2×C4×D4—24no—
871C2×C4×D4C2×D414yes—
872C2×C4×D4C2×D414yes—
873C2×C4×D4C2×D4116yes—
874C2×C4×D4C2×D418yes—
875C2×C4×D4C2×D414yes—
876C2×C4×D4C2×D418yes—
877C2×C4×D4C2×D414yes—
878C2×C4×D4C2×D4132yes—
879C2×C4×D4C2×D4116yes—
880C2×C4×D4C2×D414yes—
881C2×C4×D4C2×D4132yes—
882C2×C4×D4C2×D418yes—
883C2×C4×D4C2×D414yes—
884C2×C4×D4C2×D4164yes—
885C2×C4×D4C2×D418yes—
886C2×C4×D4C2×D4116yes—
887C2×C4×D4C2×D418yes—
888C2×C4×D4C2×D4164yes—
889C2×C4×D4C2×D4132yes—
890C2×C4×D4C2418yes—
891C2×C4×D4C2418yes—
892C2×C4×D4C2414yes—
893C2×C4×D4C2418yes—
894C2×C4×D4C2414yes—
895C2×C4×D4C2418yes—
896C2×C4×D4C24132yes—
897C2×C4×D4C24116yes—
898C2×C4×D4C2418yes—
899C2×C4×D4C24132yes—
900C2×#117—28no—
901C2×#117—28no—
902C2×#117—232no—
903C2×#117—24no—
904C2×#117—24no—
905C2×#117—28no—
906C2×#117—216no—
907C2×#117—28no—
908C2×#117—28no—
909C2×#117—28no—
910C2×#117C24116yes—
911C2×#117C24164yes—
912C2×#117C2418yes—
913C22×C4⋊C4—28no—
914C22×C4⋊C4—28no—
915C22×C4⋊C4—28no—
916C22×C4⋊C4C2×D411yescharacteristic
917C22×C4⋊C4C2×D411yescharacteristic
918C22×C4⋊C4C2×D412yes—
919C22×C4⋊C4C2×D414yes—
920C22×C4⋊C4C2×D414yes—
921C22×C4⋊C4C2×D4116yes—
922C22×C4⋊C4C2418yes—
923C22×C4⋊C4C2418yes—
924C22×C22⋊C4—28no—
925C22×C22⋊C4—28no—
926C22×C22⋊C4—28no—
927C22×C22⋊C4—28no—
928C22×C22⋊C4—28no—
929C22×C22⋊C4—216no—
930C22×C22⋊C4C2×D412yes—
931C22×C22⋊C4C2×D412yes—
932C22×C22⋊C4C2×D412yes—
933C22×C22⋊C4C2×D412yes—
934C22×C22⋊C4C2×D418yes—
935C22×C22⋊C4C2×D418yes—
936C22×C22⋊C4C2×D4132yes—
937C22×C42—28no—
938C22×C42—28no—
939C22×C42C2×D411yescharacteristic
940C22×C42C2×D412yes—
941C22×C42C2×D412yes—
942C22×C42C2×D411yescharacteristic
943C22×C42C2×D418yes—
944C22×C42C2412yes—
945C22×C42C2411yescharacteristic
946C22×C42C2412yes—
947C22×C42C2411yescharacteristic
948C22×C42C2418yes—
949#500C24116yescomplemented
950#500C24116yescomplemented
951#499C24132yescomplemented
952#499C24132yescomplemented
953#498C24132yescomplemented
954#495C24132yescomplemented
955#495C24132yescomplemented
956#494C24116yescomplemented
957#493C24116yescomplemented
958#492C24132yescomplemented
959#488C24164yescomplemented
960#488C24164yescomplemented
961#487C24132yescomplemented
962#487C24132yescomplemented
963#486C24132yescomplemented
964#486C24132yescomplemented
965#485C241128yescomplemented
966#485C241128yescomplemented
967#484C241128yescomplemented
968#483C241128yescomplemented
969#482C241128yescomplemented
970#482C241128yescomplemented
971#481C241128yescomplemented
972#480C241128yescomplemented
973#479C241128yescomplemented
974#478C241128yescomplemented
975#477C24164yescomplemented
976#476C24164yescomplemented
977#475C24164yescomplemented
978#474C24164yescomplemented
979#467C24132yes—
980#467C24132yes—
981#467C24132yes—
982#467C24132yes—
983#467C24164yes—
984#467C24164yes—
985#467C24164yescomplemented
986#467C24164yescomplemented
987#467C24164yescomplemented
988#467C24164yescomplemented
989#466C24132yes—
990#466C24132yes—
991#466C24132yes—
992#466C24132yes—
993#466C24164yes—
994#466C24164yes—
995#466C24164yescomplemented
996#466C24164yescomplemented
997#466C24164yescomplemented
998#466C24164yescomplemented
999#465C24164yes—
1000#465C24164yes—
1001#465C24164yes—
1002#465C24164yes—
1003#465C241128yes—
1004#465C241128yes—
1005#465C241128yescomplemented
1006#465C241128yescomplemented
1007#465C241128yescomplemented
1008#465C241128yescomplemented
1009#464C241128yescomplemented
1010#463C241128yescomplemented
1011#462C24164yescomplemented
1012#461C24164yescomplemented
1013#460C24164yescomplemented
1014#459C24164yescomplemented
1015#452C241128yescomplemented
1016#452C241128yescomplemented
1017#451C241128yescomplemented
1018#450C241128yescomplemented
1019#449C241128yescomplemented
1020#449C241128yescomplemented
1021#448C241128yescomplemented
1022#447C241128yescomplemented
1023C4×Q16C24132yescomplemented
1024C4×Q16C24132yescomplemented
1025C4×Q16C24132yescomplemented
1026C4×Q16C24132yescomplemented
1027C4×SD16C24164yescomplemented
1028C4×SD16C24164yescomplemented
1029C4×SD16C24164yescomplemented
1030C4×SD16C24164yescomplemented
1031C4×D8C24132yescomplemented
1032C4×D8C24132yescomplemented
1033C4×D8C24132yescomplemented
1034C4×D8C24132yescomplemented
1035C8×D4C24132yes—
1036C8×D4C24132yes—
1037C8×D4C24164yes—
1038C8×D4C24164yes—
1039C8×D4C24132yes—
1040C8×D4C24132yes—
1041C8×D4C24132yes—
1042C8×D4C24132yes—
1043C8×D4C24164yes—
1044C8×D4C24164yes—
1045C8×D4C24132yes—
1046C8×D4C24132yes—
1047#427C24164yes—
1048#427C24132yes—
1049#427C24132yes—
1050#427C24164yescomplemented
1051#427C24164yescomplemented
1052C2×#107C2418yes—
1053C2×#107C2418yes—
1054C2×#107C2414yes—
1055C2×#107C2414yes—
1056C2×#107C2414yes—
1057C2×#107C2414yes—
1058C2×#107C24132yescomplemented
1059C2×#107C24132yescomplemented
1060C2×#106C24116yes—
1061C2×#106C2418yes—
1062C2×#106C2418yes—
1063C2×#106C24164yescomplemented
1064C2×C4⋊C8C2418yes—
1065C2×C4⋊C8C2414yes—
1066C2×C4⋊C8C2414yes—
1067C2×C4⋊C8C24132yes—
1068C2×C4⋊C8C2418yes—
1069C2×C4⋊C8C2418yes—
1070C2×C4⋊C8C24132yes—
1071C2×C4⋊C8C24116yes—
1072#416C241128yes—
1073#416C24164yes—
1074#416C24164yes—
1075#416C241128yescomplemented
1076#416C241128yescomplemented
1077C2×#103C24116yes—
1078C2×#103C24116yes—
1079C2×#103C2418yes—
1080C2×#103C2418yes—
1081C2×#103C2418yes—
1082C2×#103C2418yes—
1083C2×#103C24164yescomplemented
1084C2×#103C24164yescomplemented
1085C2×#102C24116yes—
1086C2×#102C24116yes—
1087C2×#102C2418yes—
1088C2×#102C2418yes—
1089C2×#102C2418yes—
1090C2×#102C2418yes—
1091C2×#102C24164yescomplemented
1092C2×#102C24164yescomplemented
1093C2×C22⋊C8C2418yes—
1094C2×C22⋊C8C2418yes—
1095C2×C22⋊C8C2418yes—
1096C2×C22⋊C8C2418yes—
1097C2×C22⋊C8C24164yes—
1098C2×C22⋊C8C24116yes—
1099C2×C22⋊C8C24116yes—
1100C2×C22⋊C8C24164yes—
1101C2×C22⋊C8C24116yes—
1102C2×C22⋊C8C24116yes—
1103C2×C4×C8C2412yes—
1104C2×C4×C8C2412yes—
1105C2×C4×C8C2412yes—
1106C2×C4×C8C2412yes—
1107C2×C4×C8C2412yes—
1108C2×C4×C8C2412yes—
1109C2×C4×C8C2412yes—
1110C2×C4×C8C2412yes—
1111C2×C4×C8C24116yes—
1112C2×C4×C8C24116yes—
1113C2×C4×C8C2418yes—
1114C2×C4×C8C24116yes—
1115C2×C4×C8C2418yes—
1116C2×C4×C8C2418yes—
1117C2×C4×C8C24116yes—
1118C2×C4×C8C2418yes—
1119C25—216no—
1120C25—28no—
1121C25—48no—
1122C25—48no—
1123C25C22×D411yescharacteristic
1124C25C22×D414yes—
1125C25C22×D414yes—
1126C25C22×D412yes—
1127C25C22×D4116yes—
1128C25C22×D412yes—
1129H(5,𝔽2)—4256no—
1130C2×#41—264no—
1131C2×#41—232no—
1132C2×#41—216no—
1133C2×#41—232no—
1134C2×#41—264no—
1135C2×#41—264no—
1136C2×#41—232no—
1137C2×#41—232no—
1138C2×#41—232no—
1139C2×#41—432no—
1140C2×#41—432no—
1141C2×#41—4128no—
1142C2×#41—4128no—
1143C2×#41—464no—
1144C2×#41—432no—
1145C2×#41—832no—
1146C2×#41—816no—
1147C2×#41—832no—
1148C2×#41—8128no—
1149C2×#41C25132yes—
1150C2×#41C25164yes—
1151C22×Q8—24no—
1152C22×Q8—24no—
1153C22×Q8—28no—
1154C22×Q8—216no—
1155C22×Q8—416no—
1156C22×Q8—416no—
1157C22×Q8C2518yes—
1158C22×Q8C25132yes—
1159C22×D4—216no—
1160C22×D4—232no—
1161C22×D4—232no—
1162C22×D4—2128no—
1163C22×D4—28no—
1164C22×D4—28no—
1165C22×D4—216no—
1166C22×D4—264no—
1167C22×D4—28no—
1168C22×D4—216no—
1169C22×D4—264no—
1170C22×D4—216no—
1171C22×D4—264no—
1172C22×D4—264no—
1173C22×D4—28no—
1174C22×D4—24no—
1175C22×D4—24no—
1176C22×D4—28no—
1177C22×D4—216no—
1178C22×D4—416no—
1179C22×D4—416no—
1180C22×D4—464no—
1181C22×D4—464no—
1182C22×D4—832no—
1183C22×D4—832no—
1184C22×D4#135116yescomplemented
1185C22×D4C22×D418yes—
1186C22×D4C22×D414yes—
1187C22×D4C22×D4116yes—
1188C22×D4C22×D418yes—
1189C22×D4C22×D4132yes—
1190C22×D4C22×D4132yes—
1191C22×D4C22×D414yes—
1192C22×D4C22×D418yes—
1193C22×D4C2518yes—
1194C22×D4C25132yes—
1195C23×C4—28no—
1196C23×C4—24no—
1197C23×C4—216no—
1198C23×C4—24no—
1199C23×C4—216no—
1200C23×C4—28no—
1201C23×C4—28no—
1202C23×C4—28no—
1203C23×C4—28no—
1204C23×C4—28no—
1205C23×C4—28no—
1206C23×C4—216no—
1207C23×C4—264no—
1208C23×C4—44no—
1209C23×C4—48no—
1210C23×C4—44no—
1211C23×C4—432no—
1212C23×C4—48no—
1213C23×C4—416no—
1214C23×C4—48no—
1215C23×C4—464no—
1216C23×C4—44no—
1217C23×C4—48no—
1218C23×C4—44no—
1219C23×C4—432no—
1220C23×C4—416no—
1221C23×C4—48no—
1222C23×C4—44no—
1223C23×C4—832no—
1224C23×C4C22×D412yes—
1225C23×C4C22×D414yes—
1226C23×C4C22×D412yes—
1227C23×C4C22×D412yes—
1228C23×C4C22×D411yescharacteristic
1229C23×C4C22×D418yes—
1230C23×C4C22×D4116yes—
1231C23×C4C22×D411yescharacteristic
1232C23×C4C22×D414yes—
1233C23×C4C22×D414yes—
1234C23×C4C22×D411yescharacteristic
1235C23×C4C22×D411yescharacteristic
1236C23×C4C22×D414yes—
1237C23×C4C22×D414yes—
1238C23×C4C22×D414yes—
1239C23×C4C22×D411yescharacteristic
1240C23×C4C22×D412yes—
1241C23×C4C22×D411yescharacteristic
1242C23×C4C22×D418yes—
1243C23×C4C22×D412yes—
1244C23×C4C22×D414yes—
1245C23×C4C22×D412yes—
1246C23×C4C22×D4116yes—
1247C23×C4C22×D4116yes—
1248C23×C4C22×D414yes—
1249C23×C4C22×D4132yes—
1250C23×C4C22×D418yes—
1251C23×C4C22×D414yes—
1252C23×C4C22×D4116yes—
1253C23×C4C22×D4132yes—
1254C23×C4C22×D4116yes—
1255C23×C4C22×D418yes—
1256C23×C4C22×D411yescharacteristic
1257C23×C4C2514yes—
1258C23×C4C2514yes—
1259C23×C4C25116yes—
1260C23×C4C2511yescharacteristic
1261C23×C4C2511yescharacteristic
1262C23×C4C2514yes—
1263C23×C4C2518yes—
1264C23×C4C25116yes—
1265C23×C4C2518yes—
1266C23×C4C2511yescharacteristic
1267#135—2128no—
1268#135—4128no—
1269#135—4128no—
1270#135—4128no—
1271#135—464no—
1272C2×Q16—216no—
1273C2×Q16—464no—
1274C2×Q16—416no—
1275C2×Q16—48no—
1276C2×Q16C25116yes—
1277C2×Q16C25132yes—
1278C2×Q16C25116yes—
1279C2×SD16—232no—
1280C2×SD16—4128no—
1281C2×SD16—432no—
1282C2×SD16—416no—
1283C2×SD16C25132yes—
1284C2×SD16C25164yes—
1285C2×SD16C25132yes—
1286C2×D8—216no—
1287C2×D8—464no—
1288C2×D8—416no—
1289C2×D8—48no—
1290C2×D8C25116yes—
1291C2×D8C25132yes—
1292C2×D8C25116yes—
1293C22×C8—24no—
1294C22×C8—216no—
1295C22×C8—28no—
1296C22×C8—24no—
1297C22×C8—24no—
1298C22×C8—24no—
1299C22×C8—24no—
1300C22×C8—216no—
1301C22×C8—216no—
1302C22×C8—216no—
1303C22×C8—216no—
1304C22×C8—232no—
1305C22×C8—2128no—
1306C22×C8—432no—
1307C22×C8—464no—
1308C22×C8—432no—
1309C22×C8—464no—
1310C22×C8—432no—
1311C22×C8—432no—
1312C22×C8—48no—
1313C22×C8—48no—
1314C22×C8—48no—
1315C22×C8—48no—
1316C22×C8—464no—
1317C22×C8—44no—
1318C22×C8—48no—
1319C22×C8—44no—
1320C22×C8—432no—
1321C22×C8—42no—
1322C22×C8—44no—
1323C22×C8—42no—
1324C22×C8—416no—
1325C22×C8H(5,𝔽2)18yescomplemented
1326C22×C8C2511yescharacteristic
1327C22×C8C2511yescharacteristic
1328C22×C8C2514yes—
1329C22×C8C2514yes—
1330C22×C8C2514yes—
1331C22×C8C2514yes—
1332C22×C8C2514yes—
1333C22×C8C2514yes—
1334C22×C8C25116yes—
1335C22×C8C2514yes—
1336C22×C8C25116yes—
1337C22×C8C25116yes—
1338C22×C8C25116yes—
1339C22×C8C25116yes—
1340C22×C8C2512yes—
1341C22×C8C2512yes—
1342C22×C8C2518yes—
1343C22×C8C2518yes—
1344C22×C8C25116yes—
1345C22×C8C2518yes—
1346C22×C8C25116yes—
1347C22×C8C25116yes—
1348C22×C8C25116yes—
1349C22×C8C25116yes—
1350C22×C8C2514yes—
1351C22×C8C2518yes—
1352C22×C8C2514yes—
1353C22×C8C2511yescharacteristic
1354C22×C8C2511yescharacteristic
1355C22×C8C2514yes—
1356C4⋊Q8—264no—
1357C4⋊Q8—28no—
1358C4⋊Q8—28no—
1359C4⋊Q8—28no—
1360C4⋊Q8C25116yes—
1361C4⋊Q8C25116yes—
1362C4⋊Q8C25116yes—
1363#127—264no—
1364#127—28no—
1365#127C25116yes—
1366#126—2128no—
1367#126—2128no—
1368#126—2128no—
1369#126—264no—
1370#126—264no—
1371#125—2128no—
1372#125—264no—
1373#125—232no—
1374#125—232no—
1375#125—216no—
1376#125C25132yes—
1377#124—264no—
1378#124—2128no—
1379#124—2128no—
1380#124—232no—
1381#124—232no—
1382#124—216no—
1383#124C25132yes—
1384#123—2128no—
1385#123—264no—
1386#123—2128no—
1387#123—2128no—
1388#123—2128no—
1389#123—264no—
1390#123—264no—
1391#123—2128no—
1392#123—2128no—
1393#123—2128no—
1394#123—2128no—
1395C22⋊Q8—216no—
1396C22⋊Q8—216no—
1397C22⋊Q8—264no—
1398C22⋊Q8—264no—
1399C22⋊Q8—232no—
1400C22⋊Q8—232no—
1401C22⋊Q8—264no—
1402C22⋊Q8—264no—
1403C22⋊Q8—232no—
1404C22⋊Q8—232no—
1405C22⋊Q8—232no—
1406C22⋊Q8—232no—
1407C22⋊Q8—2128no—
1408C22⋊Q8—264no—
1409C22⋊Q8—2128no—
1410C22⋊Q8—2128no—
1411C22⋊Q8C25132yes—
1412C22⋊Q8C25132yes—
1413C22⋊Q8C25164yes—
1414C22⋊Q8C25164yes—
1415#121—2128no—
1416#121—2128no—
1417#121—264no—
1418#121—264no—
1419#121—216no—
1420#121—216no—
1421#121—264no—
1422#121—264no—
1423#121—232no—
1424#121—264no—
1425#121—264no—
1426#121—232no—
1427#121—232no—
1428#121—232no—
1429#121—232no—
1430#121—232no—
1431#121—264no—
1432#121—2128no—
1433#121—2128no—
1434#121C25132yes—
1435#121C25132yes—
1436#121C25164yes—
1437#121C25164yes—
1438#120—264no—
1439#120—2128no—
1440#120—2128no—
1441#120—2128no—
1442#120—2128no—
1443#120—2128no—
1444C4×Q8—264no—
1445C4×Q8—232no—
1446C4×Q8—232no—
1447C4×Q8—232no—
1448C4×Q8—232no—
1449C4×Q8—216no—
1450C4×Q8—216no—
1451C4×Q8C25132yes—
1452C4×Q8C25132yes—
1453C4×D4—264no—
1454C4×D4—264no—
1455C4×D4—2128no—
1456C4×D4—264no—
1457C4×D4—264no—
1458C4×D4—2128no—
1459C4×D4—2128no—
1460C4×D4—2128no—
1461C4×D4—2128no—
1462C4×D4—2128no—
1463C4×D4—264no—
1464C4×D4—264no—
1465C4×D4—264no—
1466C4×D4—264no—
1467C4×D4—264no—
1468C4×D4—2128no—
1469C4×D4—2128no—
1470C4×D4—232no—
1471C4×D4—232no—
1472C4×D4—232no—
1473C4×D4—232no—
1474C4×D4—216no—
1475C4×D4—216no—
1476C4×D4C22×D4132yes—
1477C4×D4C22×D4132yes—
1478C4×D4C22×D4164yes—
1479C4×D4C22×D4132yes—
1480C4×D4C22×D4164yes—
1481C4×D4C22×D4132yes—
1482C4×D4C22×D4116yes—
1483C4×D4C22×D4132yes—
1484C4×D4C22×D4132yes—
1485C4×D4C22×D4116yes—
1486C4×D4C22×D4164yes—
1487C4×D4C22×D4132yes—
1488C4×D4C25132yes—
1489C4×D4C25132yes—
1490C4×D4C25116yes—
1491C4×D4C25132yes—
1492C4×D4C25116yes—
1493#117—216no—
1494#117—264no—
1495#117—264no—
1496#117—232no—
1497#117—232no—
1498#117—232no—
1499#117—264no—
1500#117—2128no—
1501#117—264no—
1502#117—264no—
1503#117—264no—
1504#117C25132yes—
1505#117C25164yes—
1506C2×C4⋊C4—24no—
1507C2×C4⋊C4—216no—
1508C2×C4⋊C4—28no—
1509C2×C4⋊C4—28no—
1510C2×C4⋊C4—264no—
1511C2×C4⋊C4—216no—
1512C2×C4⋊C4—264no—
1513C2×C4⋊C4—28no—
1514C2×C4⋊C4—28no—
1515C2×C4⋊C4—216no—
1516C2×C4⋊C4—216no—
1517C2×C4⋊C4—24no—
1518C2×C4⋊C4—28no—
1519C2×C4⋊C4—28no—
1520C2×C4⋊C4—24no—
1521C2×C4⋊C4—24no—
1522C2×C4⋊C4—28no—
1523C2×C4⋊C4—28no—
1524C2×C4⋊C4—264no—
1525C2×C4⋊C4C22×D414yes—
1526C2×C4⋊C4C22×D418yes—
1527C2×C4⋊C4C22×D414yes—
1528C2×C4⋊C4C22×D418yes—
1529C2×C4⋊C4C22×D418yes—
1530C2×C4⋊C4C22×D4116yes—
1531C2×C4⋊C4C22×D4132yes—
1532C2×C4⋊C4C22×D4132yes—
1533C2×C4⋊C4C2518yes—
1534C2×C4⋊C4C2518yes—
1535C2×C4⋊C4C25132yes—
1536C2×C4⋊C4C25132yes—
1537C2×C22⋊C4—28no—
1538C2×C22⋊C4—28no—
1539C2×C22⋊C4—28no—
1540C2×C22⋊C4—216no—
1541C2×C22⋊C4—216no—
1542C2×C22⋊C4—264no—
1543C2×C22⋊C4—264no—
1544C2×C22⋊C4—216no—
1545C2×C22⋊C4—264no—
1546C2×C22⋊C4—28no—
1547C2×C22⋊C4—216no—
1548C2×C22⋊C4—28no—
1549C2×C22⋊C4—28no—
1550C2×C22⋊C4—264no—
1551C2×C22⋊C4—216no—
1552C2×C22⋊C4—264no—
1553C2×C22⋊C4—28no—
1554C2×C22⋊C4—28no—
1555C2×C22⋊C4—28no—
1556C2×C22⋊C4—2128no—
1557C2×C22⋊C4C22×D418yes—
1558C2×C22⋊C4C22×D4116yes—
1559C2×C22⋊C4C22×D418yes—
1560C2×C22⋊C4C22×D418yes—
1561C2×C22⋊C4C22×D418yes—
1562C2×C22⋊C4C22×D4116yes—
1563C2×C22⋊C4C22×D4116yes—
1564C2×C22⋊C4C22×D4116yes—
1565C2×C22⋊C4C22×D4164yes—
1566C2×C22⋊C4C22×D4164yes—
1567C2×C42—28no—
1568C2×C42—216no—
1569C2×C42—28no—
1570C2×C42—264no—
1571C2×C42—28no—
1572C2×C42—264no—
1573C2×C42C22×D412yes—
1574C2×C42C22×D412yes—
1575C2×C42C22×D412yes—
1576C2×C42C22×D418yes—
1577C2×C42C22×D4116yes—
1578C2×C42C22×D418yes—
1579C2×C42C22×D412yes—
1580C2×C42C22×D418yes—
1581C2×C42C22×D4116yes—
1582C2×C42C22×D414yes—
1583C2×C42C22×D418yes—
1584C2×C42C22×D414yes—
1585C2×C42C22×D412yes—
1586C2×C42C22×D412yes—
1587C2×C42C2512yes—
1588C2×C42C2512yes—
1589C2×C42C2518yes—
1590C2×C42C2514yes—
1591C2×C42C2518yes—
1592C2×C42C2514yes—
1593#107C25116yes—
1594#107C25116yes—
1595#107C25132yes—
1596#107C25132yes—
1597#107C25116yes—
1598#107C25116yes—
1599#106C25132yes—
1600#106C25164yes—
1601#106C25132yes—
1602C4⋊C8C25116yes—
1603C4⋊C8C25116yes—
1604C4⋊C8C25132yes—
1605#103C25132yes—
1606#103C25132yes—
1607#103C25164yes—
1608#103C25164yes—
1609#103C25132yes—
1610#103C25132yes—
1611#102C25132yes—
1612#102C25132yes—
1613#102C25164yes—
1614#102C25164yes—
1615#102C25132yes—
1616#102C25132yes—
1617C22⋊C8C25132yes—
1618C22⋊C8C25132yes—
1619C22⋊C8C25132yes—
1620C22⋊C8C25132yes—
1621C4×C8C2518yes—
1622C4×C8C2518yes—
1623C4×C8C2518yes—
1624C4×C8C2518yes—
1625C4×C8C2518yes—
1626C4×C8C2518yes—
1627C4×C8C2518yes—
1628C4×C8C2518yes—
1629C24—24no—
1630C24—24no—
1631C24—24no—
1632C24—216no—
1633C24—216no—
1634C24—216no—
1635C24—216no—
1636C24—28no—
1637C24—264no—
1638C24—28no—
1639C24—232no—
1640C24—44no—
1641C24—48no—
1642C24—432no—
1643C24—44no—
1644C24—44no—
1645C24—48no—
1646C24—432no—
1647C24—44no—
1648C24—4128no—
1649C24—432no—
1650C24—816no—
1651C24—816no—
1652C24C2×#135116yescomplemented
1653C24C23×D414yes—
1654C24C23×D414yes—
1655C24C23×D4116yes—
1656C24C23×D4116yes—
1657C24C23×D411yescharacteristic
1658C24C23×D411yescharacteristic
1659C24C23×D411yescharacteristic
1660C24C23×D414yes—
1661C24C23×D418yes—
1662C24C23×D418yes—
1663#41—264no—
1664#41—264no—
1665#41—464no—
1666#41—464no—
1667#41—4256no—
1668#41—464no—
1669#41—4128no—
1670#41—8128no—
1671#41—8128no—
1672#41—864no—
1673#41—864no—
1674C2×Q8—216no—
1675C2×Q8—28no—
1676C2×Q8—216no—
1677C2×Q8—232no—
1678C2×Q8—216no—
1679C2×Q8—216no—
1680C2×Q8—432no—
1681C2×Q8—432no—
1682C2×Q8—416no—
1683C2×Q8—816no—
1684C2×Q8—88no—
1685C2×Q8—832no—
1686C2×Q8C26116yes—
1687C2×D4—232no—
1688C2×D4—264no—
1689C2×D4—2128no—
1690C2×D4—2128no—
1691C2×D4—232no—
1692C2×D4—264no—
1693C2×D4—232no—
1694C2×D4—232no—
1695C2×D4—264no—
1696C2×D4—264no—
1697C2×D4—216no—
1698C2×D4—28no—
1699C2×D4—216no—
1700C2×D4—232no—
1701C2×D4—216no—
1702C2×D4—216no—
1703C2×D4—216no—
1704C2×D4—232no—
1705C2×D4—432no—
1706C2×D4—432no—
1707C2×D4—432no—
1708C2×D4—432no—
1709C2×D4—432no—
1710C2×D4—464no—
1711C2×D4—4256no—
1712C2×D4—4256no—
1713C2×D4—416no—
1714C2×D4—832no—
1715C2×D4—816no—
1716C2×D4—88no—
1717C2×D4—832no—
1718C2×D4—832no—
1719C2×D4—8128no—
1720C2×D4—8128no—
1721C2×D4C2×#135132yescomplemented
1722C2×D4C2×#135164yescomplemented
1723C2×D4C23×D4132yes—
1724C2×D4C23×D4116yes—
1725C2×D4C23×D4116yes—
1726C2×D4C26116yes—
1727C22×C4—28no—
1728C22×C4—24no—
1729C22×C4—216no—
1730C22×C4—24no—
1731C22×C4—22no—
1732C22×C4—22no—
1733C22×C4—28no—
1734C22×C4—28no—
1735C22×C4—28no—
1736C22×C4—232no—
1737C22×C4—22no—
1738C22×C4—22no—
1739C22×C4—28no—
1740C22×C4—28no—
1741C22×C4—28no—
1742C22×C4—232no—
1743C22×C4—24no—
1744C22×C4—24no—
1745C22×C4—216no—
1746C22×C4—216no—
1747C22×C4—216no—
1748C22×C4—264no—
1749C22×C4—28no—
1750C22×C4—28no—
1751C22×C4—232no—
1752C22×C4—28no—
1753C22×C4—28no—
1754C22×C4—28no—
1755C22×C4—232no—
1756C22×C4—232no—
1757C22×C4—232no—
1758C22×C4—232no—
1759C22×C4—232no—
1760C22×C4—232no—
1761C22×C4—264no—
1762C22×C4—48no—
1763C22×C4—416no—
1764C22×C4—48no—
1765C22×C4—432no—
1766C22×C4—464no—
1767C22×C4—416no—
1768C22×C4—432no—
1769C22×C4—432no—
1770C22×C4—416no—
1771C22×C4—48no—
1772C22×C4—416no—
1773C22×C4—48no—
1774C22×C4—48no—
1775C22×C4—48no—
1776C22×C4—48no—
1777C22×C4—48no—
1778C22×C4—464no—
1779C22×C4—44no—
1780C22×C4—48no—
1781C22×C4—44no—
1782C22×C4—432no—
1783C22×C4—42no—
1784C22×C4—44no—
1785C22×C4—42no—
1786C22×C4—416no—
1787C22×C4—432no—
1788C22×C4—432no—
1789C22×C4—432no—
1790C22×C4—8128no—
1791C22×C4—832no—
1792C22×C4—816no—
1793C22×C4—816no—
1794C22×C4—816no—
1795C22×C4C2×#13518yescomplemented
1796C22×C4C23×D412yes—
1797C22×C4C23×D414yes—
1798C22×C4C23×D4116yes—
1799C22×C4C23×D411yescharacteristic
1800C22×C4C23×D411yescharacteristic
1801C22×C4C23×D414yes—
1802C22×C4C23×D414yes—
1803C22×C4C23×D412yes—
1804C22×C4C23×D412yes—
1805C22×C4C23×D414yes—
1806C22×C4C23×D412yes—
1807C22×C4C23×D412yes—
1808C22×C4C23×D418yes—
1809C22×C4C23×D418yes—
1810C22×C4C23×D418yes—
1811C22×C4C23×D414yes—
1812C22×C4C23×D414yes—
1813C22×C4C23×D4116yes—
1814C22×C4C23×D418yes—
1815C22×C4C23×D4116yes—
1816C22×C4C23×D418yes—
1817C22×C4C23×D414yes—
1818C22×C4C23×D418yes—
1819C22×C4C23×D414yes—
1820C22×C4C23×D4116yes—
1821C22×C4C23×D4116yes—
1822C22×C4C23×D418yes—
1823C22×C4C23×D4116yes—
1824C22×C4C23×D418yes—
1825C22×C4C23×D4116yes—
1826C22×C4C23×D4116yes—
1827C22×C4C23×D412yes—
1828C22×C4C23×D412yes—
1829C22×C4C23×D414yes—
1830C22×C4C23×D411yescharacteristic
1831C22×C4C2×H(5,𝔽2)14yes—
1832C22×C4#58514yes—
1833C22×C4C2618yes—
1834C22×C4C2618yes—
1835C22×C4C2612yes—
1836C22×C4C2612yes—
1837C22×C4C2611yescharacteristic
1838C22×C4C2612yes—
1839Q16—232no—
1840Q16—432no—
1841Q16—416no—
1842SD16—264no—
1843SD16—464no—
1844SD16—432no—
1845D8—232no—
1846D8—432no—
1847D8—416no—
1848C2×C8—22no—
1849C2×C8—22no—
1850C2×C8—28no—
1851C2×C8—28no—
1852C2×C8—28no—
1853C2×C8—232no—
1854C2×C8—24no—
1855C2×C8—24no—
1856C2×C8—216no—
1857C2×C8—28no—
1858C2×C8—28no—
1859C2×C8—28no—
1860C2×C8—28no—
1861C2×C8—232no—
1862C2×C8—232no—
1863C2×C8—232no—
1864C2×C8—232no—
1865C2×C8—416no—
1866C2×C8—416no—
1867C2×C8—416no—
1868C2×C8—416no—
1869C2×C8—48no—
1870C2×C8—416no—
1871C2×C8—48no—
1872C2×C8—44no—
1873C2×C8—48no—
1874C2×C8—44no—
1875C2×C8C2×H(5,𝔽2)14yes—
1876C2×C8C2×H(5,𝔽2)14yes—
1877C2×C8C2×H(5,𝔽2)116yescomplemented
1878C2×C8C2614yes—
1879C2×C8C2614yes—
1880C2×C8C2612yes—
1881C2×C8C2612yes—
1882C2×C8C2618yes—
1883C2×C8C2618yes—
1884C2×C8C2612yes—
1885C2×C8C2612yes—
1886C4⋊C4—216no—
1887C4⋊C4—264no—
1888C4⋊C4—232no—
1889C4⋊C4—232no—
1890C4⋊C4—28no—
1891C4⋊C4—28no—
1892C4⋊C4—264no—
1893C4⋊C4—232no—
1894C4⋊C4—232no—
1895C4⋊C4—216no—
1896C4⋊C4—232no—
1897C4⋊C4—232no—
1898C4⋊C4—216no—
1899C4⋊C4—216no—
1900C4⋊C4—232no—
1901C4⋊C4—232no—
1902C4⋊C4C23×D4116yes—
1903C4⋊C4C23×D4116yes—
1904C4⋊C4C23×D4132yes—
1905C4⋊C4C26116yes—
1906C4⋊C4C26116yes—
1907C22⋊C4—232no—
1908C22⋊C4—232no—
1909C22⋊C4—264no—
1910C22⋊C4—232no—
1911C22⋊C4—264no—
1912C22⋊C4—264no—
1913C22⋊C4—232no—
1914C22⋊C4—264no—
1915C22⋊C4—232no—
1916C22⋊C4—232no—
1917C22⋊C4—264no—
1918C22⋊C4—232no—
1919C22⋊C4—232no—
1920C22⋊C4—232no—
1921C22⋊C4C23×D4132yes—
1922C22⋊C4C23×D4132yes—
1923C22⋊C4C23×D4132yes—
1924C22⋊C4C23×D4132yes—
1925C42—232no—
1926C42—232no—
1927C42—264no—
1928C42—232no—
1929C42C23×D418yes—
1930C42C23×D418yes—
1931C42C23×D418yes—
1932C42C23×D418yes—
1933C42C23×D414yes—
1934C42C23×D418yes—
1935C42C23×D414yes—
1936C42C23×D418yes—
1937C42C2614yes—
1938C42C2614yes—
1939C23—232no—
1940C23—28no—
1941C23—22no—
1942C23—22no—
1943C23—28no—
1944C23—28no—
1945C23—22no—
1946C23—22no—
1947C23—28no—
1948C23—22no—
1949C23—22no—
1950C23—28no—
1951C23—232no—
1952C23—28no—
1953C23—232no—
1954C23—232no—
1955C23—216no—
1956C23—28no—
1957C23—232no—
1958C23—28no—
1959C23—216no—
1960C23—48no—
1961C23—416no—
1962C23—48no—
1963C23—432no—
1964C23—48no—
1965C23—416no—
1966C23—48no—
1967C23—464no—
1968C23—464no—
1969C23—4256no—
1970C23—432no—
1971C23—416no—
1972C23—416no—
1973C23—416no—
1974C23—464no—
1975C23—832no—
1976C23—832no—
1977C23—1664no—
1978C23#349614yes—
1979C23C22×#13514yes—
1980C23C22×#135116yes—
1981C23C22×#135132yescomplemented
1982C23#358414yes—
1983C23C24×D418yes—
1984C23C24×D412yes—
1985C23C24×D412yes—
1986C23C24×D418yes—
1987C23C24×D412yes—
1988C23C24×D411yescharacteristic
1989Q8—216no—
1990Q8—216no—
1991Q8—416no—
1992Q8—432no—
1993Q8—832no—
1994Q8—816no—
1995D4—264no—
1996D4—232no—
1997D4—216no—
1998D4—216no—
1999D4—464no—
2000D4—464no—
2001D4—4128no—
2002D4—464no—
2003D4—416no—
2004D4—432no—
2005D4—832no—
2006D4—816no—
2007D4—864no—
2008D4—864no—
2009D4C22×#135164yescomplemented
2010C2×C4—28no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—28no—
2014C2×C4—28no—
2015C2×C4—232no—
2016C2×C4—28no—
2017C2×C4—24no—
2018C2×C4—24no—
2019C2×C4—24no—
2020C2×C4—216no—
2021C2×C4—28no—
2022C2×C4—28no—
2023C2×C4—24no—
2024C2×C4—24no—
2025C2×C4—232no—
2026C2×C4—216no—
2027C2×C4—216no—
2028C2×C4—232no—
2029C2×C4—216no—
2030C2×C4—216no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—28no—
2034C2×C4—28no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—28no—
2038C2×C4—28no—
2039C2×C4—216no—
2040C2×C4—216no—
2041C2×C4—216no—
2042C2×C4—416no—
2043C2×C4—416no—
2044C2×C4—416no—
2045C2×C4—416no—
2046C2×C4—48no—
2047C2×C4—416no—
2048C2×C4—48no—
2049C2×C4—44no—
2050C2×C4—48no—
2051C2×C4—44no—
2052C2×C4—416no—
2053C2×C4—416no—
2054C2×C4—464no—
2055C2×C4—416no—
2056C2×C4—464no—
2057C2×C4—464no—
2058C2×C4—864no—
2059C2×C4—832no—
2060C2×C4—832no—
2061C2×C4—832no—
2062C2×C4#349614yes—
2063C2×C4#349618yes—
2064C2×C4C22×#13518yes—
2065C2×C4C22×#135116yescomplemented
2066C2×C4C24×D414yes—
2067C2×C4C24×D418yes—
2068C2×C4C24×D412yes—
2069C2×C4C24×D412yes—
2070C2×C4C24×D414yes—
2071C2×C4C24×D414yes—
2072C2×C4C24×D418yes—
2073C2×C4C24×D412yes—
2074C2×C4C24×D411yescharacteristic
2075C2×C4C24×D414yes—
2076C2×C4C22×H(5,𝔽2)12yes—
2077C2×C4C22×H(5,𝔽2)14yes—
2078C2×C4C2×#58512yes—
2079C2×C4C2×#58514yes—
2080C2×C4C2711yescharacteristic
2081C8—22no—
2082C8—22no—
2083C8—28no—
2084C8—28no—
2085C8—24no—
2086C8—24no—
2087C8C22×H(5,𝔽2)14yes—
2088C8C22×H(5,𝔽2)14yes—
2089C22—232no—
2090C22—22no—
2091C22—22no—
2092C22—28no—
2093C22—22no—
2094C22—22no—
2095C22—22no—
2096C22—22no—
2097C22—28no—
2098C22—28no—
2099C22—28no—
2100C22—28no—
2101C22—232no—
2102C22—28no—
2103C22—28no—
2104C22—28no—
2105C22—432no—
2106C22—464no—
2107C22—464no—
2108C22—432no—
2109C22—416no—
2110C22—416no—
2111C22—416no—
2112C22—416no—
2113C22—832no—
2114C22—1664no—
2115C22C2×#349614yes—
2116C22C2×#349612yes—
2117C22C23×#13514yes—
2118C22C23×#135116yes—
2119C22C23×#13512yes—
2120C22C2×#358414yes—
2121C22C2×#358412yes—
2122C22C25×D411yescharacteristic
2123C4—22no—
2124C4—22no—
2125C4—28no—
2126C4—28no—
2127C4—24no—
2128C4—24no—
2129C4—24no—
2130C4—416no—
2131C4—416no—
2132C4—416no—
2133C4C2×#349614yes—
2134C4C2×#349612yes—
2135C4C23×#13518yes—
2136C4C23×H(5,𝔽2)11yescharacteristic
2137C4C22×#58511yescharacteristic
2138C2—24no—
2139C2—24no—
2140C2—24no—
2141C2—216no—
2142C2—48no—
2143C2—816no—
2144C2#1057753514yesdirect product factor
2145C2C22×#349611yescharacteristic
2146C2C24×#13511yescharacteristic
2147C2C22×#358411yescharacteristic
subgroupG/H
centerC22×C4C23×D4
commutator, Frattini, cosocleC2×C4C27
socleC23C24×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C23×C4×D4 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#62773C2semidirect
2. #10577535C2direct (N × H)
3. C2×#62252C2semidirect
4. C2×#62251C2semidirect
5. C2×#62250C2semidirect
6. C2×#62249C2semidirect
7. C2×#62248C2semidirect
8. C2×#62247C2semidirect
9. C2×#62244C2semidirect
10. C2×#62246C2semidirect
11. C2×#62245C2semidirect
12. C2×#62243C2semidirect
13. C2×#61234C2semidirect
14. C2×#61124C2semidirect
15. C2×D4×#135C2semidirect
16. C2×#60900C2semidirect
17. C2×#60734C2semidirect
18. C2×#60673C2semidirect
19. C22×#3050C2semidirect
20. C23×C8×D4C2semidirect
21. C23×#135C22semidirect
22. C25×C8C22semidirect
24. #62773C22semidirect
25. C2×#3520C22semidirect
26. C2×#3519C22semidirect
28. C2×#3506C22semidirect
30. C2×#3505C22semidirect
36. C2×#3475C22semidirect
37. C2×D4×#41C22semidirect
40. C2×#3444C22semidirect
41. C22×#525C22semidirect
44. #62252C22semidirect
45. #62251C22semidirect
46. #62250C22semidirect
47. #62249C22semidirect
48. #62248C22semidirect
49. #62247C22semidirect
50. #62246C22semidirect
51. #62245C22semidirect
52. #62244C22semidirect
53. #62243C22semidirect
54. #61234C22semidirect
55. C2×#3342C22semidirect
56. C2×#3341C22semidirect
57. C2×#3340C22semidirect
58. C2×#3339C22semidirect
59. C2×#3338C22semidirect
60. C2×#3337C22semidirect
61. C2×#3336C22semidirect
62. C2×#3335C22semidirect
63. C2×#3334C22semidirect
64. #61124C22semidirect
65. C2×#3305C22semidirect
66. C2×#3304C22semidirect
67. C2×#3303C22semidirect
68. C2×#3302C22semidirect
69. C2×#3301C22semidirect
70. C2×#3300C22semidirect
71. C2×#3299C22semidirect
72. C2×#3298C22semidirect
73. C2×#3297C22semidirect
74. C2×#3296C22semidirect
75. C2×#3295C22semidirect
76. C2×#3294C22semidirect
77. D4×#135C22semidirect
78. C2×#3287C22semidirect
79. C2×D4×Q16C22semidirect
80. C2×#3285C22semidirect
81. C2×#3284C22semidirect
82. C2×#3283C22semidirect
83. C2×#3282C22semidirect
84. C2×D4×SD16C22semidirect
85. C2×#3280C22semidirect
86. C2×D4×D8C22semidirect
87. #60900C22semidirect
88. C2×#3250C22semidirect
89. C2×#3249C22semidirect
90. C2×#3248C22semidirect
91. C2×#3247C22semidirect
92. C2×#3246C22semidirect
93. C2×#3245C22semidirect
94. #60734C22semidirect
95. C2×#3191C22semidirect
96. C2×#3191C22semidirect
97. C2×#3190C22semidirect
98. C2×#3189C22semidirect
99. C2×#3188C22semidirect
100. C2×#3187C22semidirect
101. C2×#3186C22semidirect
102. #60673C22semidirect
103. C2×#3170C22semidirect
104. C2×#3170C22semidirect
105. C2×#3169C22semidirect
106. C2×#3169C22semidirect
107. C2×#3168C22semidirect
108. C2×#3168C22semidirect
109. C2×#3168C22semidirect
110. C2×#3168C22semidirect
111. C2×#3167C22semidirect
112. C2×#3167C22semidirect
113. C2×#3160C22semidirect
114. C2×#3147C22semidirect
115. C2×#3131C22semidirect
116. C2×#3091C22semidirect
117. C2×#3076C22semidirect
118. C2×#3050C22semidirect
119. C2×#3050C22semidirect
120. C2×#3050C22semidirect
121. C2×#3050C22semidirect
122. C2×#3050C22semidirect
123. C2×#3050C22semidirect
124. C2×#3050C22semidirect
125. C2×#3050C22semidirect
126. C2×#3050C22semidirect
127. C2×#3050C22semidirect
128. C22×#467C22semidirect
129. C22×#467C22semidirect
130. C22×#466C22semidirect
131. C22×#466C22semidirect
132. C22×#465C22semidirect
133. C22×#465C22semidirect
134. C2×#3035C22semidirect
135. C2×#3002C22semidirect
136. C2×C4×#135C22semidirect
137. C2×C4×#135C22semidirect
140. C22×C8×D4C22semidirect
141. C22×C8×D4C22semidirect
142. C22×C8×D4C22semidirect
143. C22×C8×D4C22semidirect
144. C22×C8×D4C22semidirect
145. C22×C8×D4C22semidirect
146. C22×C8×D4C22semidirect
147. C22×C8×D4C22semidirect
148. C22×C8×D4C22semidirect
149. C22×#427C22semidirect
150. C23×C4⋊C8C22semidirect
151. C22×#416C22semidirect
152. C23×C22⋊C8C22semidirect
153. C23×C4×C8C22semidirect
162. C22×#135C23semidirect
163. C22×#135C23semidirect
164. C22×#135C23semidirect
165. C23×Q16C23semidirect
166. C23×SD16C23semidirect
167. C23×D8C23semidirect
180. C24×C8C23semidirect
182. #3520C23semidirect
184. #3519C23semidirect
187. #3506C23semidirect
189. #3505C23semidirect
200. #3475C23semidirect
216. D4×#41C23semidirect
248. #3444C23semidirect
276. C2×#525C23semidirect
312. #3342C23semidirect
313. #3341C23semidirect
314. #3340C23semidirect
315. #3339C23semidirect
316. #3338C23semidirect
317. #3337C23semidirect
318. #3336C23semidirect
319. #3335C23semidirect
320. #3334C23semidirect
321. #3305C23semidirect
322. #3304C23semidirect
323. #3303C23semidirect
324. #3302C23semidirect
325. #3301C23semidirect
326. #3300C23semidirect
327. #3299C23semidirect
328. #3298C23semidirect
329. #3297C23semidirect
330. #3296C23semidirect
331. #3295C23semidirect
332. #3294C23semidirect
333. #3287C23semidirect
334. D4×Q16C23semidirect
335. #3285C23semidirect
336. #3284C23semidirect
337. #3283C23semidirect
338. #3282C23semidirect
339. D4×SD16C23semidirect
340. #3280C23semidirect
341. D4×D8C23semidirect
342. #3250C23semidirect
343. #3249C23semidirect
344. #3248C23semidirect
345. #3247C23semidirect
346. #3246C23semidirect
347. #3245C23semidirect
348. #3191C23semidirect
349. #3191C23semidirect
350. #3190C23semidirect
351. #3189C23semidirect
352. #3188C23semidirect
353. #3187C23semidirect
354. #3186C23semidirect
355. #3170C23semidirect
356. #3170C23semidirect
357. #3169C23semidirect
358. #3169C23semidirect
359. #3168C23semidirect
360. #3168C23semidirect
361. #3168C23semidirect
362. #3168C23semidirect
363. #3167C23semidirect
364. #3167C23semidirect
365. #3160C23semidirect
366. C2×#500C23semidirect
367. C2×#500C23semidirect
368. C2×#499C23semidirect
369. C2×#499C23semidirect
370. C2×#498C23semidirect
371. #3147C23semidirect
372. C2×#495C23semidirect
373. C2×#495C23semidirect
374. C2×#494C23semidirect
375. C2×#493C23semidirect
376. C2×#492C23semidirect
377. #3131C23semidirect
378. C2×#488C23semidirect
379. C2×#488C23semidirect
380. C2×#487C23semidirect
381. C2×#487C23semidirect
382. C2×#486C23semidirect
383. C2×#486C23semidirect
384. #3091C23semidirect
385. C2×#484C23semidirect
386. C2×#481C23semidirect
387. C2×#485C23semidirect
388. C2×#485C23semidirect
389. C2×#482C23semidirect
390. C2×#482C23semidirect
391. C2×#483C23semidirect
392. C2×#480C23semidirect
393. #3076C23semidirect
394. C2×#479C23semidirect
395. C2×#477C23semidirect
396. C2×#475C23semidirect
397. C2×#478C23semidirect
398. C2×#476C23semidirect
399. C2×#474C23semidirect
400. #3050C23semidirect
401. #3050C23semidirect
402. #3050C23semidirect
403. #3050C23semidirect
404. #3050C23semidirect
405. #3050C23semidirect
406. #3050C23semidirect
407. #3050C23semidirect
408. #3050C23semidirect
415. C2×#467C23semidirect
416. C2×#467C23semidirect
417. C2×#467C23semidirect
418. C2×#467C23semidirect
419. C2×#467C23semidirect
420. C2×#467C23semidirect
427. C2×#466C23semidirect
428. C2×#466C23semidirect
429. C2×#466C23semidirect
430. C2×#466C23semidirect
431. C2×#466C23semidirect
432. C2×#466C23semidirect
439. C2×#465C23semidirect
440. C2×#465C23semidirect
441. C2×#465C23semidirect
442. C2×#465C23semidirect
443. C2×#465C23semidirect
444. C2×#465C23semidirect
445. #3035C23semidirect
446. C2×#464C23semidirect
447. C2×#462C23semidirect
448. C2×#460C23semidirect
449. C2×#463C23semidirect
450. C2×#461C23semidirect
451. C2×#459C23semidirect
452. #3002C23semidirect
453. C2×#452C23semidirect
454. C2×#452C23semidirect
455. C2×#449C23semidirect
456. C2×#449C23semidirect
457. C2×#451C23semidirect
458. C2×#448C23semidirect
459. C2×#450C23semidirect
460. C2×#447C23semidirect
461. C4×#135C23semidirect
462. C4×#135C23semidirect
463. C2×C4×Q16C23semidirect
464. C2×C4×Q16C23semidirect
465. C2×C4×Q16C23semidirect
466. C2×C4×Q16C23semidirect
467. C2×C4×SD16C23semidirect
468. C2×C4×SD16C23semidirect
469. C2×C4×SD16C23semidirect
470. C2×C4×SD16C23semidirect
471. C2×C4×D8C23semidirect
472. C2×C4×D8C23semidirect
473. C2×C4×D8C23semidirect
474. C2×C4×D8C23semidirect
489. C2×C8×D4C23semidirect
490. C2×C8×D4C23semidirect
491. C2×C8×D4C23semidirect
492. C2×C8×D4C23semidirect
493. C2×C8×D4C23semidirect
494. C2×C8×D4C23semidirect
495. C2×C8×D4C23semidirect
496. C2×C8×D4C23semidirect
500. C2×#427C23semidirect
501. C2×#427C23semidirect
502. C2×#427C23semidirect
503. C22×#107C23semidirect
504. C22×#107C23semidirect
505. C22×#106C23semidirect
511. C22×C4⋊C8C23semidirect
515. C2×#416C23semidirect
516. C2×#416C23semidirect
517. C2×#416C23semidirect
518. C22×#103C23semidirect
519. C22×#103C23semidirect
520. C22×#102C23semidirect
521. C22×#102C23semidirect
528. C22×C22⋊C8C23semidirect
537. C22×C4×C8C23semidirect
591. C2×#135C24semidirect
592. C2×#135C24semidirect
597. C22×Q16C24semidirect
602. C22×SD16C24semidirect
607. C22×D8C24semidirect
949. #500C24semidirect
950. #500C24semidirect
951. #499C24semidirect
952. #499C24semidirect
953. #498C24semidirect
954. #495C24semidirect
955. #495C24semidirect
956. #494C24semidirect
957. #493C24semidirect
958. #492C24semidirect
959. #488C24semidirect
960. #488C24semidirect
961. #487C24semidirect
962. #487C24semidirect
963. #486C24semidirect
964. #486C24semidirect
965. #485C24semidirect
966. #485C24semidirect
967. #484C24semidirect
968. #483C24semidirect
969. #482C24semidirect
970. #482C24semidirect
971. #481C24semidirect
972. #480C24semidirect
973. #479C24semidirect
974. #478C24semidirect
975. #477C24semidirect
976. #476C24semidirect
977. #475C24semidirect
978. #474C24semidirect
985. #467C24semidirect
986. #467C24semidirect
987. #467C24semidirect
988. #467C24semidirect
995. #466C24semidirect
996. #466C24semidirect
997. #466C24semidirect
998. #466C24semidirect
1005. #465C24semidirect
1006. #465C24semidirect
1007. #465C24semidirect
1008. #465C24semidirect
1009. #464C24semidirect
1010. #463C24semidirect
1011. #462C24semidirect
1012. #461C24semidirect
1013. #460C24semidirect
1014. #459C24semidirect
1015. #452C24semidirect
1016. #452C24semidirect
1017. #451C24semidirect
1018. #450C24semidirect
1019. #449C24semidirect
1020. #449C24semidirect
1021. #448C24semidirect
1022. #447C24semidirect
1023. C4×Q16C24semidirect
1024. C4×Q16C24semidirect
1025. C4×Q16C24semidirect
1026. C4×Q16C24semidirect
1027. C4×SD16C24semidirect
1028. C4×SD16C24semidirect
1029. C4×SD16C24semidirect
1030. C4×SD16C24semidirect
1031. C4×D8C24semidirect
1032. C4×D8C24semidirect
1033. C4×D8C24semidirect
1034. C4×D8C24semidirect
1050. #427C24semidirect
1051. #427C24semidirect
1058. C2×#107C24semidirect
1059. C2×#107C24semidirect
1063. C2×#106C24semidirect
1075. #416C24semidirect
1076. #416C24semidirect
1083. C2×#103C24semidirect
1084. C2×#103C24semidirect
1091. C2×#102C24semidirect
1092. C2×#102C24semidirect
1184. C22×D4#135semidirect
1325. C22×C8H(5,𝔽2)semidirect
1652. C24C2×#135semidirect
1721. C2×D4C2×#135semidirect
1722. C2×D4C2×#135semidirect
1795. C22×C4C2×#135semidirect
1877. C2×C8C2×H(5,𝔽2)semidirect
1981. C23C22×#135semidirect
2009. D4C22×#135semidirect
2065. C2×C4C22×#135semidirect
2144. C2#10577535direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#627732
#105775352
C2×#622522
C2×#622512
C2×#622502
C2×#622492
C2×#622482
C2×#622472
C2×#622442
C2×#622462
C2×#622452
C2×#622432
C2×#612342
C2×#611242
C2×D4×#1352
C2×#609002
C2×#607342
C2×#606732
C22×#30502
C23×C8×D42