Finite Group Databasebeta

← C2×#11661935 #72270876

Subgroups — C2×#11661935 #72270876

Order 1536.

46784 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#87568C211yesmaximal, characteristic, complemented
2C2×#85919C213yesmaximal, complemented
3#11661935C2132yesmaximal, direct product factor
4C2×#80305C214yesmaximal, complemented
5C2×#78686C213yesmaximal, complemented
6C2×#84110C211yesmaximal, characteristic, complemented
7C2×#80307C214yesmaximal, complemented
8C2×#80304C214yesmaximal, complemented
9C22×#5032C213yesmaximal, complemented
10C2×D3×B(4,𝔽2)C214yesmaximal, complemented
11C2×#78688C213yesmaximal, complemented
12C22×C3×B(4,𝔽2)C211yesmaximal, characteristic, complemented
13C2×#60399—31nomaximal, Sylow
14C22×C3×H(5,𝔽2)C2211yescharacteristic, complemented
15C24×#67C2211yescharacteristic, complemented
16#87568—224no—
17#87568C22116yescomplemented
18C2×D3×H(5,𝔽2)—26no—
19C2×D3×H(5,𝔽2)C2214yescomplemented
20C2×#5966—26no—
21C2×#5966C2214yescomplemented
22C2×#5964—26no—
23C22×#1004—26no—
24C22×#1004C2213yes—
25C22×#1004C2213yescomplemented
26C22×C3×#120C2213yescomplemented
27C22×#953C2213yescomplemented
28C2×D4×#67—26no—
29C2×#5804C2213yescomplemented
30#85919—224no—
31#85919C22148yescomplemented
32C2×#5591—26no—
33C2×#5590—26no—
34C2×#5589C2216yescomplemented
35C2×D3×#120C2216yescomplemented
36C2×#5592C2216yescomplemented
37C2×#5586C2216yescomplemented
38C2×#5490—26no—
39C2×#5493C2213yescomplemented
40C2×#5486C2213yescomplemented
41C2×C3×B(4,𝔽2)C2214yescomplemented
42C2×C3×B(4,𝔽2)C2214yescomplemented
43C2×C3×B(4,𝔽2)C22116yescomplemented
44C22×C3×#99C2213yescomplemented
45#84110C22116yescomplemented
46C2×#5244C2214yescomplemented
47C2×#5243C2214yescomplemented
48C22×#834C2213yescomplemented
49C2×#5032C22112yescomplemented
50C2×#5032C22112yescomplemented
51C2×#5032C22148yescomplemented
52C22×#806C2216yescomplemented
53#80307C22164yescomplemented
54D3×B(4,𝔽2)C22164yescomplemented
55#80305C22164yescomplemented
56#80304C22164yescomplemented
57#78688C22148yescomplemented
58C2×D3×#99C22112yescomplemented
59#78686C22148yescomplemented
60C2×#4742C22112yescomplemented
61C2×#4741C22112yescomplemented
62C2×#4740C22112yescomplemented
63C2×H(7,𝔽2)—31no—
64C2×#3484—33no—
65#60399—332no—
66C2×#3027—34no—
67C2×#3026—34no—
68C2×#3026—33no—
69C2×#3026—31no—
70C2×#3025—34no—
71C22×B(4,𝔽2)—34no—
72C22×B(4,𝔽2)—33no—
73C22×B(4,𝔽2)D311yescharacteristic, complemented
74C2×#2883—33no—
75C26×C3C2311yescharacteristic, complemented
76C25×D3C2311yescharacteristic, complemented
77C2×C3×H(5,𝔽2)—26no—
78C2×C3×H(5,𝔽2)—212no—
79C2×C3×H(5,𝔽2)C2314yes—
80C2×C3×H(5,𝔽2)C2318yescomplemented
81C22×C3×#41—23no—
82C23×C3×D4—23no—
83C23×C3×D4—23no—
84C23×C3×D4C2313yes—
85C23×#67—24no—
86C23×#67—23no—
87C23×#67—26no—
88C23×#67—212no—
89C23×#67—26no—
90C23×#67—23no—
91C23×#67D416yescomplemented
92C23×#67C2313yes—
93C23×#67C2311yescharacteristic
94C23×#67C2311yescharacteristic, complemented
95C23×#67C2311yescharacteristic, complemented
96C23×#67C2311yescharacteristic, complemented
97C23×#67C2318yescomplemented
98C24×Dic3C2311yescharacteristic, complemented
99#5966—296no—
100#5966—296no—
101#5966—248no—
102#5966C23132yescomplemented
103D3×H(5,𝔽2)—296no—
104D3×H(5,𝔽2)—296no—
105D3×H(5,𝔽2)—248no—
106D3×H(5,𝔽2)C23132yescomplemented
107#5964—296no—
108#5964—296no—
109C2×#1010—212no—
110C2×#1010—212no—
111C2×#1009—212no—
112C2×#1009—212no—
113C2×D3×#41—224no—
114C2×D3×#41—212no—
115C2×D3×#41—212no—
116C2×#1007—24no—
117C2×#1004—212no—
118C2×#1004—224no—
119C2×#1004—296no—
120C2×#1004—26no—
121C2×#1004—212no—
122C2×#1004—212no—
123C2×#1004—212no—
124C2×#1004—224no—
125C2×#1004—212no—
126C2×#1004—212no—
127C2×#1004—212no—
128C2×#1004—296no—
129C2×#1004—224no—
130C2×#1004D4124yescomplemented
131C2×#1004C23112yes—
132C2×#1004C23124yes—
133C2×#1004C23124yescomplemented
134C22×#237—212no—
135C22×#237—212no—
136C22×#237—26no—
137C22×#237D416yescomplemented
138C22×#237C2316yes—
139C22×D3×D4—212no—
140C22×D3×D4—212no—
141C22×D3×D4—26no—
142C22×D3×D4—26no—
143C22×D3×D4D416yescomplemented
144C22×D3×D4C2316yes—
145C22×#235—212no—
146C22×#235—23no—
147C22×#235D416yescomplemented
148C2×C3×#120—26no—
149C2×C3×#120—212no—
150C2×C3×#120C2316yescomplemented
151C2×C3×#120C2316yescomplemented
152C2×C3×#120C23124yescomplemented
153C22×C3×C22⋊C4—23no—
154C22×C3×C22⋊C4C2313yescomplemented
155C2×#953—212no—
156C2×#953—26no—
157C2×#953—23no—
158C2×#953C2316yescomplemented
159C2×#953C2316yescomplemented
160C2×#953C23124yescomplemented
161C22×#217—23no—
162C22×#217C2313yescomplemented
163#5804—212no—
164#5804C23124yescomplemented
165C2×#940—26no—
166C2×#939—26no—
167C2×#939—26no—
168C2×#939—26no—
169D4×#67—296no—
170C2×#938—26no—
171C2×#937—26no—
172C2×#937—26no—
173C2×#937C2316yescomplemented
174C2×#935C2316yescomplemented
175C2×D4×Dic3—26no—
176C2×#930—26no—
177C2×#929—23no—
178C2×C4×#67—26no—
179#5592—224no—
180#5592C23148yescomplemented
181#5591—296no—
182#5590—296no—
183#5589—224no—
184#5589C23148yescomplemented
185D3×#120—224no—
186D3×#120C23148yescomplemented
187#5586—224no—
188#5586C23148yescomplemented
189#5493—212no—
190#5493C23124yescomplemented
191C2×#886—23no—
192C2×#886C2316yescomplemented
193C2×#885—26no—
194#5490—296no—
195C2×#884—26no—
196C2×#884—26no—
197C2×#883—26no—
198C2×#882—23no—
199C2×#882—26no—
200C2×#882C2316yescomplemented
201#5486—212no—
202#5486C23124yescomplemented
203C2×#67⋊C4—26no—
204C2×#67⋊C4—26no—
205C2×D3×C22⋊C4—26no—
206C2×D3×C22⋊C4C2316yescomplemented
207C2×#878—26no—
208C2×#877C2316yescomplemented
209C3×B(4,𝔽2)C23132yescomplemented
210C3×B(4,𝔽2)C23132yescomplemented
211C2×C3×#99C23112yescomplemented
212C2×C3×#99C23124yescomplemented
213#5244C23132yescomplemented
214#5243C23132yescomplemented
215C2×#834C23112yescomplemented
216C2×#834C23124yescomplemented
217#5032C23196yescomplemented
218#5032C23196yescomplemented
219C2×#806C23124yescomplemented
220C2×#806C23148yescomplemented
221D3×#99C23196yescomplemented
222#4742C23196yescomplemented
223#4741C23196yescomplemented
224#4740C23196yescomplemented
225H(7,𝔽2)—316no—
226H(7,𝔽2)—624no—
227C2×#585—34no—
228C2×#585—66no—
229C2×#585—66no—
230C22×H(5,𝔽2)—33no—
231C22×H(5,𝔽2)—34no—
232C22×H(5,𝔽2)—33no—
233C22×H(5,𝔽2)—66no—
234C22×H(5,𝔽2)—66no—
235C22×H(5,𝔽2)C2×D311yescharacteristic, complemented
236C24×D4—31no—
237#3484—348no—
238#3484—624no—
239C2×#546—66no—
240C2×#546—66no—
241C2×D42—66no—
242C2×D42—66no—
243C2×#535—36no—
244C2×#534—33no—
245C2×#534—36no—
246C2×#534—33no—
247C2×#525—36no—
248C22×#120—33no—
249C22×#120—36no—
250C22×#120C2×D313yescomplemented
251C2×#518—33no—
252#3027—364no—
253#3026—364no—
254#3026—348no—
255#3026—316no—
256#3025—364no—
257C2×#458—312no—
258C2×#458—34no—
259C2×B(4,𝔽2)—364no—
260C2×B(4,𝔽2)—312no—
261C2×B(4,𝔽2)—34no—
262C2×B(4,𝔽2)—312no—
263C2×B(4,𝔽2)—312no—
264C2×B(4,𝔽2)—348no—
265C2×B(4,𝔽2)C2×D314yescomplemented
266C2×B(4,𝔽2)C2×D314yescomplemented
267C2×B(4,𝔽2)C2×D3116yescomplemented
268#2883—348no—
269C2×#410—312no—
270C22×#99—312no—
271C22×#99—33no—
272C22×#99—36no—
273C22×#99C2×D313yescomplemented
274C25×C3—21no—
275C25×C3—23no—
276C25×C3—23no—
277C25×C3—26no—
278C25×C3—84no—
279C25×C3C2×D413yescomplemented
280C25×C3C2411yescharacteristic
281C25×C3C2411yescharacteristic
282C25×C3C2411yescharacteristic
283C25×C3C2414yescomplemented
284C24×D3—23no—
285C24×D3—24no—
286C24×D3—26no—
287C24×D3—26no—
288C24×D3—84no—
289C24×D3C2×D416yescomplemented
290C24×D3C2×D413yescomplemented
291C24×D3C2411yescharacteristic
292C24×D3C2411yescharacteristic
293C24×D3C2414yescomplemented
294C3×H(5,𝔽2)—248no—
295C3×H(5,𝔽2)—224no—
296C3×H(5,𝔽2)—248no—
297C3×H(5,𝔽2)C24116yes—
298C2×C3×#41—212no—
299C2×C3×#41—224no—
300C2×C3×#41—212no—
301C2×C3×#41—224no—
302C22×C3×Q8—21no—
303C22×C3×D4—212no—
304C22×C3×D4—23no—
305C22×C3×D4—224no—
306C22×C3×D4—212no—
307C22×C3×D4—26no—
308C22×C3×D4—26no—
309C22×C3×D4—212no—
310C22×C3×D4—224no—
311C22×C3×D4—26no—
312C22×C3×D4—26no—
313C22×C3×D4—224no—
314C22×C3×D4—812no—
315C22×C3×D4C2×D416yescomplemented
316C22×C3×D4C2×D4112yescomplemented
317C22×C3×D4C2416yes—
318C22×C3×D4C24112yes—
319C23×C3×C4—23no—
320C23×C3×C4—23no—
321C23×C3×C4C2×D413yescomplemented
322C22×#67—212no—
323C22×#67—212no—
324C22×#67—26no—
325C22×#67—212no—
326C22×#67—224no—
327C22×#67—264no—
328C22×#67—26no—
329C22×#67—26no—
330C22×#67—212no—
331C22×#67—212no—
332C22×#67—224no—
333C22×#67—212no—
334C22×#67—212no—
335C22×#67—224no—
336C22×#67—23no—
337C22×#67—26no—
338C22×#67—23no—
339C22×#67—26no—
340C22×#67—26no—
341C22×#67—26no—
342C22×#67—26no—
343C22×#67—26no—
344C22×#67—224no—
345C22×#67—248no—
346C22×#67—248no—
347C22×#67—26no—
348C22×#67—26no—
349C22×#67—44no—
350C22×#67—412no—
351C22×#67—424no—
352C22×#67—424no—
353C22×#67—812no—
354C22×#67C2×D416yes—
355C22×#67C2×D416yes—
356C22×#67C2×D4112yes—
357C22×#67C2×D416yescomplemented
358C22×#67C2×D416yescomplemented
359C22×#67C2×D416yescomplemented
360C22×#67C2×D4112yescomplemented
361C22×#67C2×D4148yescomplemented
362C22×#67C2416yes—
363C22×#67C24112yes—
364C22×#67C2414yes—
365C22×#67C2414yescomplemented
366C22×#67C2414yescomplemented
367C22×#67C2414yescomplemented
368C23×Dic3—23no—
369C23×Dic3—24no—
370C23×Dic3—23no—
371C23×Dic3—26no—
372C23×Dic3—26no—
373C23×Dic3C2×D413yescomplemented
374C23×Dic3C2×D416yescomplemented
375C23×Dic3C2411yescharacteristic
376C23×Dic3C2411yescharacteristic
377C23×Dic3C2414yescomplemented
378#1010—2192no—
379#1010—296no—
380#1010—296no—
381#1009—2192no—
382#1009—296no—
383#1009—296no—
384D3×#41—2384no—
385D3×#41—296no—
386D3×#41—296no—
387D3×#41—296no—
388D3×#41—296no—
389#1007—264no—
390C2×#239—212no—
391C2×#239—24no—
392C2×D3×Q8—24no—
393C2×D3×Q8—212no—
394#1004—296no—
395#1004—2192no—
396#1004—248no—
397#1004—296no—
398#1004—2384no—
399#1004—296no—
400#1004—224no—
401#1004—248no—
402#1004—296no—
403#1004—296no—
404#1004—296no—
405#1004—248no—
406#1004—296no—
407#1004—296no—
408#1004—296no—
409#1004—296no—
410#1004C24148yes—
411C2×#237—224no—
412C2×#237—212no—
413C2×#237—212no—
414C2×#237—224no—
415C2×#237—248no—
416C2×#237—2192no—
417C2×#237—296no—
418C2×#237—224no—
419C2×#237—224no—
420C2×#237—224no—
421C2×#237—224no—
422C2×#237—224no—
423C2×#237—296no—
424C2×#237—248no—
425C2×#237C2×D4124yescomplemented
426C2×#237C2×D4148yescomplemented
427C2×#237C24124yes—
428C2×D3×D4—224no—
429C2×D3×D4—224no—
430C2×D3×D4—212no—
431C2×D3×D4—212no—
432C2×D3×D4—248no—
433C2×D3×D4—296no—
434C2×D3×D4—2192no—
435C2×D3×D4—224no—
436C2×D3×D4—224no—
437C2×D3×D4—224no—
438C2×D3×D4—296no—
439C2×D3×D4—248no—
440C2×D3×D4—224no—
441C2×D3×D4—224no—
442C2×D3×D4—248no—
443C2×D3×D4—824no—
444C2×D3×D4C2×D4124yescomplemented
445C2×D3×D4C2×D4148yescomplemented
446C2×D3×D4C24124yes—
447C2×#235—212no—
448C2×#235—224no—
449C2×#235—224no—
450C2×#235—224no—
451C2×#235—2192no—
452C2×#235—212no—
453C2×#235—224no—
454C2×#235—212no—
455C2×#235—212no—
456C2×#235—224no—
457C2×#235C2×D4148yescomplemented
458C22×D12—23no—
459C22×D12—212no—
460C22×D12—26no—
461C22×D12C2×D416yescomplemented
462C22×C4×D3—26no—
463C22×C4×D3—212no—
464C22×C4×D3—212no—
465C22×C4×D3—26no—
466C22×C4×D3C2×D416yescomplemented
467C22×C4×D3C2×D416yescomplemented
468C22×Dic6—23no—
469C22×Dic6—212no—
470C22×Dic6C2×D416yescomplemented
471C3×#120—212no—
472C3×#120—212no—
473C3×#120—248no—
474C3×#120C24124yescomplemented
475C3×#120C24124yescomplemented
476C2×C3×C22⋊C4—23no—
477C2×C3×C22⋊C4—26no—
478C2×C3×C22⋊C4—26no—
479C2×C3×C22⋊C4—26no—
480C2×C3×C22⋊C4—224no—
481C2×C3×C22⋊C4C2416yes—
482C2×C3×C22⋊C4C24112yescomplemented
483#953—224no—
484#953—212no—
485#953—212no—
486#953—248no—
487#953C24124yescomplemented
488#953C24124yescomplemented
489C2×#217—26no—
490C2×#217—23no—
491C2×#217—26no—
492C2×#217—26no—
493C2×#217—26no—
494C2×#217—224no—
495C2×#217C2416yes—
496C2×#217C24112yescomplemented
497#940—248no—
498#939—248no—
499#939—248no—
500#939—248no—
501#938—248no—
502#937—248no—
503#937—212no—
504#937—248no—
505#937C24124yescomplemented
506#935—212no—
507#935C24124yescomplemented
508D4×Dic3—248no—
509#930—248no—
510#929—224no—
511C4×#67—248no—
512C2×(C2×D3)⋊C4—26no—
513C2×(C2×D3)⋊C4—26no—
514C2×(C2×D3)⋊C4—26no—
515C2×(C2×D3)⋊C4—26no—
516C2×C4⋊Dic3—26no—
517C2×Dic3⋊C4—26no—
518C2×Dic3⋊C4—26no—
519C2×C4×Dic3—26no—
520#886—212no—
521#886—224no—
522#886C24124yescomplemented
523#885—248no—
524#884—248no—
525#884—248no—
526#883—248no—
527#882—224no—
528#882—212no—
529#882—248no—
530#882C24124yescomplemented
531#67⋊C4—248no—
532#67⋊C4—248no—
533D3×C22⋊C4—212no—
534D3×C22⋊C4—248no—
535D3×C22⋊C4C24124yescomplemented
536#878—248no—
537#877—212no—
538#877C24124yescomplemented
539C3×#99C24148yescomplemented
540#834C24148yescomplemented
541#806C24196yescomplemented
542C26—31no—
543C26C22×D311yescharacteristic, complemented
544#585—332no—
545#585—696no—
546#585—696no—
547#585—648no—
548#585—696no—
549#585—696no—
550C2×2−1+4—64no—
551C2×2−1+4—612no—
552C2×2−1+4—612no—
553C2×H(5,𝔽2)—26no—
554C2×H(5,𝔽2)—212no—
555C2×H(5,𝔽2)—324no—
556C2×H(5,𝔽2)—324no—
557C2×H(5,𝔽2)—332no—
558C2×H(5,𝔽2)—312no—
559C2×H(5,𝔽2)—324no—
560C2×H(5,𝔽2)—612no—
561C2×H(5,𝔽2)—612no—
562C2×H(5,𝔽2)—612no—
563C2×H(5,𝔽2)—612no—
564C2×H(5,𝔽2)—624no—
565C2×H(5,𝔽2)—624no—
566C2×H(5,𝔽2)—612no—
567C2×H(5,𝔽2)—696no—
568C2×H(5,𝔽2)—612no—
569C2×H(5,𝔽2)—624no—
570C2×H(5,𝔽2)—696no—
571C2×H(5,𝔽2)—612no—
572C2×H(5,𝔽2)—648no—
573C2×H(5,𝔽2)—696no—
574C2×H(5,𝔽2)—612no—
575C2×H(5,𝔽2)—696no—
576C2×H(5,𝔽2)—66no—
577C2×H(5,𝔽2)—612no—
578C2×H(5,𝔽2)C22×D314yes—
579C2×H(5,𝔽2)C22×D318yescomplemented
580C22×#41—23no—
581C22×#41—36no—
582C22×#41—36no—
583C22×#41—36no—
584C22×#41—612no—
585C22×#41—66no—
586C22×#41—612no—
587C22×#41—612no—
588C22×#41—612no—
589C22×#41—612no—
590C22×#41—624no—
591C22×#41—63no—
592C23×D4—23no—
593C23×D4—23no—
594C23×D4—31no—
595C23×D4—36no—
596C23×D4—33no—
597C23×D4—36no—
598C23×D4—36no—
599C23×D4—31no—
600C23×D4—31no—
601C23×D4—31no—
602C23×D4—38no—
603C23×D4—612no—
604C23×D4—66no—
605C23×D4—612no—
606C23×D4—66no—
607C23×D4—66no—
608C23×D4—66no—
609C23×D4—612no—
610C23×D4—64no—
611C23×D4—63no—
612C23×D4—63no—
613C23×D4C22×D313yes—
614C24×C4—31no—
615#546—696no—
616#546—696no—
617D42—696no—
618D42—696no—
619#535—348no—
620#535—624no—
621#534—324no—
622#534—348no—
623#534—324no—
624#534—612no—
625#534—624no—
626#534—612no—
627C2×#127—66no—
628C2×#124—66no—
629#525—348no—
630#525—624no—
631C2×#123—36no—
632C2×#123—36no—
633C2×#123—66no—
634C2×#123—63no—
635C2×#123—63no—
636C2×C22⋊Q8—66no—
637C2×#121—66no—
638C2×#121—66no—
639C2×#121—66no—
640C2×#121—66no—
641C2×#121—66no—
642C2×#121—66no—
643C2×#121—66no—
644C2×#120—26no—
645C2×#120—212no—
646C2×#120—36no—
647C2×#120—36no—
648C2×#120—324no—
649C2×#120—36no—
650C2×#120—348no—
651C2×#120—36no—
652C2×#120—66no—
653C2×#120—63no—
654C2×#120—624no—
655C2×#120—66no—
656C2×#120—66no—
657C2×#120—66no—
658C2×#120—612no—
659C2×#120—63no—
660C2×#120C22×D316yescomplemented
661C2×#120C22×D316yescomplemented
662C2×#120C22×D3124yescomplemented
663#518—324no—
664#518—612no—
665C2×C4×D4—66no—
666C2×C4×D4—66no—
667C2×C4×D4—66no—
668C2×C4×D4—66no—
669C2×#117—36no—
670C22×C22⋊C4—23no—
671C22×C22⋊C4—33no—
672C22×C22⋊C4—36no—
673C22×C22⋊C4—66no—
674C22×C22⋊C4—63no—
675C22×C22⋊C4C22×D313yescomplemented
676#458—332no—
677#458—396no—
678B(4,𝔽2)—332no—
679B(4,𝔽2)—396no—
680B(4,𝔽2)—396no—
681B(4,𝔽2)—396no—
682B(4,𝔽2)C22×D3132yescomplemented
683B(4,𝔽2)C22×D3132yescomplemented
684#410—396no—
685C2×#99—312no—
686C2×#99—324no—
687C2×#99—324no—
688C2×#99—348no—
689C2×#99—396no—
690C2×#99C22×D3112yescomplemented
691C2×#99C22×D3124yescomplemented
692C24×C3—24no—
693C24×C3—28no—
694C24×C3—23no—
695C24×C3—23no—
696C24×C3—23no—
697C24×C3—26no—
698C24×C3—23no—
699C24×C3—23no—
700C24×C3—212no—
701C24×C3—212no—
702C24×C3—23no—
703C24×C3—44no—
704C24×C3—412no—
705C24×C3—412no—
706C24×C3—43no—
707C24×C3—41no—
708C24×C3—46no—
709C24×C3—46no—
710C24×C3—82no—
711C24×C3—82no—
712C24×C3—88no—
713C24×C3—86no—
714C24×C3—86no—
715C24×C3—824no—
716C24×C3—86no—
717C24×C3—162no—
718C24×C3C22×D416yes—
719C24×C3C22×D413yes—
720C24×C3C22×D413yes—
721C24×C3C22×D416yes—
722C24×C3C22×D4112yescomplemented
723C24×C3C2512yes—
724C24×C3C2512yes—
725C24×C3C2511yescharacteristic
726C24×C3C2512yes—
727C23×D3—212no—
728C23×D3—26no—
729C23×D3—224no—
730C23×D3—232no—
731C23×D3—26no—
732C23×D3—212no—
733C23×D3—212no—
734C23×D3—23no—
735C23×D3—23no—
736C23×D3—224no—
737C23×D3—424no—
738C23×D3—44no—
739C23×D3—412no—
740C23×D3—82no—
741C23×D3—82no—
742C23×D3—88no—
743C23×D3—812no—
744C23×D3—824no—
745C23×D3—812no—
746C23×D3—86no—
747C23×D3—168no—
748C23×D3—166no—
749C23×D3C22×D416yes—
750C23×D3C22×D416yes—
751C23×D3C22×D416yes—
752C23×D3C22×D4112yescomplemented
753C23×D3C22×D4124yescomplemented
754C23×D3C2512yes—
755C23×D3C2512yes—
756C3×#41—248no—
757C3×#41—296no—
758C3×#41—248no—
759C2×C3×Q8—24no—
760C2×C3×Q8—28no—
761C2×C3×D4—212no—
762C2×C3×D4—248no—
763C2×C3×D4—296no—
764C2×C3×D4—224no—
765C2×C3×D4—212no—
766C2×C3×D4—212no—
767C2×C3×D4—224no—
768C2×C3×D4—224no—
769C2×C3×D4—212no—
770C2×C3×D4—248no—
771C2×C3×D4—212no—
772C2×C3×D4—224no—
773C2×C3×D4—224no—
774C2×C3×D4—224no—
775C2×C3×D4—224no—
776C2×C3×D4—424no—
777C2×C3×D4—812no—
778C2×C3×D4—848no—
779C2×C3×D4C22×D4112yes—
780C2×C3×D4C22×D4124yescomplemented
781C2×C3×D4C25112yes—
782C22×C3×C4—212no—
783C22×C3×C4—224no—
784C22×C3×C4—23no—
785C22×C3×C4—23no—
786C22×C3×C4—26no—
787C22×C3×C4—26no—
788C22×C3×C4—212no—
789C22×C3×C4—86no—
790C22×C3×C4C22×D416yes—
791C22×C3×C4C22×D4112yescomplemented
792C2×#67—224no—
793C2×#67—296no—
794C2×#67—248no—
795C2×#67—296no—
796C2×#67—248no—
797C2×#67—296no—
798C2×#67—26no—
799C2×#67—26no—
800C2×#67—212no—
801C2×#67—224no—
802C2×#67—224no—
803C2×#67—212no—
804C2×#67—224no—
805C2×#67—212no—
806C2×#67—224no—
807C2×#67—248no—
808C2×#67—212no—
809C2×#67—212no—
810C2×#67—296no—
811C2×#67—296no—
812C2×#67—212no—
813C2×#67—212no—
814C2×#67—224no—
815C2×#67—224no—
816C2×#67—224no—
817C2×#67—224no—
818C2×#67—212no—
819C2×#67—212no—
820C2×#67—224no—
821C2×#67—424no—
822C2×#67—43no—
823C2×#67—41no—
824C2×#67—46no—
825C2×#67—46no—
826C2×#67—44no—
827C2×#67—412no—
828C2×#67—432no—
829C2×#67—496no—
830C2×#67—44no—
831C2×#67—412no—
832C2×#67—812no—
833C2×#67—812no—
834C2×#67—848no—
835C2×#67#12014yes—
836C2×#67#120112yes—
837C2×#67#120124yes—
838C2×#67#120124yes—
839C2×#67C22×D4112yes—
840C2×#67C22×D4124yes—
841C2×#67C22×D4124yes—
842C2×#67C22×D4124yescomplemented
843C2×#67C22×D4124yescomplemented
844C2×#67C22×D4124yescomplemented
845C2×#67C25112yes—
846C22×Dic3—212no—
847C22×Dic3—224no—
848C22×Dic3—232no—
849C22×Dic3—26no—
850C22×Dic3—26no—
851C22×Dic3—212no—
852C22×Dic3—212no—
853C22×Dic3—23no—
854C22×Dic3—26no—
855C22×Dic3—23no—
856C22×Dic3—212no—
857C22×Dic3—224no—
858C22×Dic3—44no—
859C22×Dic3—412no—
860C22×Dic3—86no—
861C22×Dic3C22×D416yes—
862C22×Dic3C22×D416yes—
863C22×Dic3C22×D416yes—
864C22×Dic3C22×D4112yescomplemented
865C22×Dic3C22×D4124yescomplemented
866C22×Dic3C2512yes—
867C22×Dic3C2512yes—
868#239—296no—
869#239—232no—
870D3×Q8—232no—
871D3×Q8—296no—
872#237—296no—
873#237—2192no—
874#237—296no—
875#237—296no—
876#237—2192no—
877#237—2192no—
878#237—296no—
879#237—296no—
880#237—296no—
881D3×D4—296no—
882D3×D4—2192no—
883D3×D4—2192no—
884D3×D4—296no—
885D3×D4—296no—
886D3×D4—296no—
887D3×D4—296no—
888D3×D4—296no—
889D3×D4—2192no—
890D3×D4—896no—
891#235—296no—
892#235—248no—
893#235—2192no—
894#235—2192no—
895#235—248no—
896#235—296no—
897#235—296no—
898C2×D12—212no—
899C2×D12—224no—
900C2×D12—296no—
901C2×D12—212no—
902C2×D12—212no—
903C2×D12—224no—
904C2×D12—812no—
905C2×D12C22×D4124yescomplemented
906C2×C4×D3—224no—
907C2×C4×D3—248no—
908C2×C4×D3—296no—
909C2×C4×D3—296no—
910C2×C4×D3—212no—
911C2×C4×D3—212no—
912C2×C4×D3—212no—
913C2×C4×D3—212no—
914C2×C4×D3—224no—
915C2×C4×D3—812no—
916C2×C4×D3C22×D4124yescomplemented
917C2×C4×D3C22×D4124yescomplemented
918C2×Dic6—212no—
919C2×Dic6—224no—
920C2×Dic6—296no—
921C2×Dic6—212no—
922C2×Dic6—212no—
923C2×Dic6C22×D4124yescomplemented
924C3×C22⋊C4—26no—
925C3×C22⋊C4—212no—
926C3×C22⋊C4—224no—
927C3×C22⋊C4—224no—
928C3×C22⋊C4C25112yes—
929#217—26no—
930#217—212no—
931#217—224no—
932#217—224no—
933#217—224no—
934#217C25112yes—
935(C2×D3)⋊C4—224no—
936(C2×D3)⋊C4—224no—
937(C2×D3)⋊C4—224no—
938(C2×D3)⋊C4—224no—
939C4⋊Dic3—224no—
940Dic3⋊C4—224no—
941Dic3⋊C4—224no—
942C4×Dic3—224no—
943C25—21no—
944C25—23no—
945C25—23no—
946C25—26no—
947C25—31no—
948C25—36no—
949C25—33no—
950C25—31no—
951C25—34no—
952C25—66no—
953C25—66no—
954C25—64no—
955C25—63no—
956C25—84no—
957C25—244no—
958C25D3×D413yescomplemented
959C25C23×D311yescharacteristic
960C25C23×D311yescharacteristic
961C25C23×D311yescharacteristic
962C25C23×D314yescomplemented
9632−1+4—664no—
9642−1+4—696no—
9652−1+4—696no—
9662−1+4—6192no—
967H(5,𝔽2)—248no—
968H(5,𝔽2)—224no—
969H(5,𝔽2)—248no—
970H(5,𝔽2)—348no—
971H(5,𝔽2)—696no—
972H(5,𝔽2)—696no—
973H(5,𝔽2)—696no—
974H(5,𝔽2)—696no—
975H(5,𝔽2)—648no—
976H(5,𝔽2)—696no—
977H(5,𝔽2)—696no—
978H(5,𝔽2)—696no—
979H(5,𝔽2)—6192no—
980H(5,𝔽2)—696no—
981H(5,𝔽2)—6384no—
982H(5,𝔽2)—696no—
983H(5,𝔽2)—696no—
984H(5,𝔽2)—648no—
985H(5,𝔽2)—696no—
986H(5,𝔽2)—696no—
987H(5,𝔽2)—6192no—
988H(5,𝔽2)—624no—
989H(5,𝔽2)—648no—
990H(5,𝔽2)C23×D3116yes—
991C2×#41—212no—
992C2×#41—224no—
993C2×#41—212no—
994C2×#41—224no—
995C2×#41—324no—
996C2×#41—348no—
997C2×#41—324no—
998C2×#41—348no—
999C2×#41—612no—
1000C2×#41—612no—
1001C2×#41—624no—
1002C2×#41—624no—
1003C2×#41—624no—
1004C2×#41—612no—
1005C2×#41—6192no—
1006C2×#41—624no—
1007C2×#41—624no—
1008C2×#41—624no—
1009C2×#41—624no—
1010C2×#41—648no—
1011C2×#41—696no—
1012C2×#41—696no—
1013C2×#41—696no—
1014C2×#41—624no—
1015C2×#41—624no—
1016C2×#41—612no—
1017C2×#41—612no—
1018C2×#41—624no—
1019C2×#41—624no—
1020C2×#41—696no—
1021C2×#41—6192no—
1022C2×#41—648no—
1023C2×#41—64no—
1024C2×#41—612no—
1025C2×#41—696no—
1026C2×#41—696no—
1027C2×#41—6384no—
1028C2×#41—612no—
1029C2×#41—624no—
1030C22×Q8—21no—
1031C22×Q8—36no—
1032C22×Q8—612no—
1033C22×Q8—63no—
1034C22×Q8—612no—
1035C22×Q8—64no—
1036C22×D4—23no—
1037C22×D4—212no—
1038C22×D4—224no—
1039C22×D4—212no—
1040C22×D4—26no—
1041C22×D4—26no—
1042C22×D4—212no—
1043C22×D4—224no—
1044C22×D4—26no—
1045C22×D4—26no—
1046C22×D4—224no—
1047C22×D4—36no—
1048C22×D4—36no—
1049C22×D4—312no—
1050C22×D4—34no—
1051C22×D4—36no—
1052C22×D4—36no—
1053C22×D4—312no—
1054C22×D4—36no—
1055C22×D4—348no—
1056C22×D4—36no—
1057C22×D4—312no—
1058C22×D4—324no—
1059C22×D4—348no—
1060C22×D4—324no—
1061C22×D4—34no—
1062C22×D4—34no—
1063C22×D4—34no—
1064C22×D4—36no—
1065C22×D4—612no—
1066C22×D4—63no—
1067C22×D4—66no—
1068C22×D4—66no—
1069C22×D4—66no—
1070C22×D4—624no—
1071C22×D4—624no—
1072C22×D4—624no—
1073C22×D4—624no—
1074C22×D4—624no—
1075C22×D4—696no—
1076C22×D4—648no—
1077C22×D4—612no—
1078C22×D4—612no—
1079C22×D4—624no—
1080C22×D4—624no—
1081C22×D4—6192no—
1082C22×D4—696no—
1083C22×D4—648no—
1084C22×D4—648no—
1085C22×D4—612no—
1086C22×D4—612no—
1087C22×D4—624no—
1088C22×D4—648no—
1089C22×D4—648no—
1090C22×D4—612no—
1091C22×D4—612no—
1092C22×D4—612no—
1093C22×D4—66no—
1094C22×D4—664no—
1095C22×D4—624no—
1096C22×D4—66no—
1097C22×D4—66no—
1098C22×D4—612no—
1099C22×D4—612no—
1100C22×D4—624no—
1101C22×D4—66no—
1102C22×D4—66no—
1103C22×D4—66no—
1104C22×D4—63no—
1105C22×D4—63no—
1106C22×D4—66no—
1107C22×D4—66no—
1108C22×D4—624no—
1109C22×D4—66no—
1110C22×D4—812no—
1111C22×D4—124no—
1112C22×D4—1212no—
1113C22×D4—1224no—
1114C22×D4—1224no—
1115C22×D4—2424no—
1116C22×D4—2412no—
1117C22×D4D3×D416yescomplemented
1118C22×D4D3×D4112yescomplemented
1119C22×D4C23×D316yes—
1120C22×D4C23×D3112yes—
1121C23×C4—23no—
1122C23×C4—23no—
1123C23×C4—31no—
1124C23×C4—33no—
1125C23×C4—36no—
1126C23×C4—36no—
1127C23×C4—36no—
1128C23×C4—31no—
1129C23×C4—34no—
1130C23×C4—612no—
1131C23×C4—612no—
1132C23×C4—66no—
1133C23×C4—66no—
1134C23×C4—66no—
1135C23×C4—66no—
1136C23×C4—64no—
1137C23×C4—63no—
1138C23×C4—63no—
1139C23×C4D3×D413yescomplemented
1140#127—648no—
1141#124—648no—
1142#123—324no—
1143#123—324no—
1144#123—648no—
1145#123—624no—
1146#123—612no—
1147#123—612no—
1148#123—624no—
1149C22⋊Q8—648no—
1150#121—648no—
1151#121—648no—
1152#121—648no—
1153#121—648no—
1154#121—648no—
1155#121—648no—
1156#121—648no—
1157#120—212no—
1158#120—212no—
1159#120—248no—
1160#120—324no—
1161#120—324no—
1162#120—324no—
1163#120—324no—
1164#120—612no—
1165#120—648no—
1166#120—624no—
1167#120—648no—
1168#120—648no—
1169#120—612no—
1170#120—612no—
1171#120—648no—
1172#120—624no—
1173#120—612no—
1174#120C23×D3124yescomplemented
1175#120C23×D3124yescomplemented
1176C4×D4—648no—
1177C4×D4—648no—
1178C4×D4—648no—
1179C4×D4—648no—
1180#117—324no—
1181#117—612no—
1182C2×C4⋊C4—66no—
1183C2×C4⋊C4—66no—
1184C2×C4⋊C4—66no—
1185C2×C22⋊C4—23no—
1186C2×C22⋊C4—26no—
1187C2×C22⋊C4—26no—
1188C2×C22⋊C4—26no—
1189C2×C22⋊C4—224no—
1190C2×C22⋊C4—36no—
1191C2×C22⋊C4—312no—
1192C2×C22⋊C4—324no—
1193C2×C22⋊C4—648no—
1194C2×C22⋊C4—612no—
1195C2×C22⋊C4—66no—
1196C2×C22⋊C4—66no—
1197C2×C22⋊C4—66no—
1198C2×C22⋊C4—66no—
1199C2×C22⋊C4—66no—
1200C2×C22⋊C4—624no—
1201C2×C22⋊C4—63no—
1202C2×C22⋊C4—66no—
1203C2×C22⋊C4—66no—
1204C2×C22⋊C4—66no—
1205C2×C22⋊C4C23×D316yes—
1206C2×C22⋊C4C23×D3112yescomplemented
1207C2×C42—66no—
1208#99—348no—
1209#99—396no—
1210#99C23×D3148yescomplemented
1211C23×C3—212no—
1212C23×C3—216no—
1213C23×C3—26no—
1214C23×C3—26no—
1215C23×C3—26no—
1216C23×C3—212no—
1217C23×C3—212no—
1218C23×C3—26no—
1219C23×C3—46no—
1220C23×C3—46no—
1221C23×C3—42no—
1222C23×C3—44no—
1223C23×C3—46no—
1224C23×C3—412no—
1225C23×C3—412no—
1226C23×C3—46no—
1227C23×C3—424no—
1228C23×C3—46no—
1229C23×C3—424no—
1230C23×C3—43no—
1231C23×C3—41no—
1232C23×C3—412no—
1233C23×C3—44no—
1234C23×C3—43no—
1235C23×C3—41no—
1236C23×C3—86no—
1237C23×C3—86no—
1238C23×C3—812no—
1239C23×C3—84no—
1240C23×C3—86no—
1241C23×C3—82no—
1242C23×C3—82no—
1243C23×C3—812no—
1244C23×C3—88no—
1245C23×C3—812no—
1246C23×C3—812no—
1247C23×C3—86no—
1248C23×C3—824no—
1249C23×C3—824no—
1250C23×C3—166no—
1251C23×C3—168no—
1252C23×C3C2×#12013yes—
1253C23×C3C2×#12011yescharacteristic
1254C23×C3C2×#12016yes—
1255C23×C3C2×#12016yes—
1256C23×C3C23×D413yes—
1257C23×C3C23×D4112yes—
1258C23×C3C23×D413yes—
1259C23×C3C23×D416yes—
1260C23×C3C23×D416yes—
1261C23×C3C2611yescharacteristic
1262C22×D3—26no—
1263C22×D3—248no—
1264C22×D3—26no—
1265C22×D3—224no—
1266C22×D3—248no—
1267C22×D3—26no—
1268C22×D3—412no—
1269C22×D3—412no—
1270C22×D3—412no—
1271C22×D3—448no—
1272C22×D3—43no—
1273C22×D3—41no—
1274C22×D3—416no—
1275C22×D3—824no—
1276C22×D3—816no—
1277C22×D3—86no—
1278C22×D3—82no—
1279C22×D3—82no—
1280C22×D3—812no—
1281C22×D3—824no—
1282C22×D3—86no—
1283C22×D3—824no—
1284C22×D3—824no—
1285C22×D3—812no—
1286C22×D3—848no—
1287C22×D3—1612no—
1288C22×D3—166no—
1289C22×D3—1632no—
1290C22×D3—1624no—
1291C22×D3C2×#12014yes—
1292C22×D3C2×#120112yes—
1293C22×D3C23×D4112yes—
1294C22×D3C23×D4112yes—
1295C3×Q8—216no—
1296C3×D4—248no—
1297C3×D4—224no—
1298C3×D4—224no—
1299C3×D4—248no—
1300C3×D4—448no—
1301C3×D4—824no—
1302C2×C3×C4—248no—
1303C2×C3×C4—26no—
1304C2×C3×C4—26no—
1305C2×C3×C4—212no—
1306C2×C3×C4—212no—
1307C2×C3×C4—212no—
1308C2×C3×C4—412no—
1309C2×C3×C4—812no—
1310C2×C3×C4C23×D4112yes—
1311#67—296no—
1312#67—224no—
1313#67—224no—
1314#67—224no—
1315#67—224no—
1316#67—248no—
1317#67—248no—
1318#67—448no—
1319#67—412no—
1320#67—44no—
1321#67—416no—
1322#67—416no—
1323#67—824no—
1324#67—824no—
1325#67C2×#120116yes—
1326#67C2×#120148yes—
1327C2×Dic3—248no—
1328C2×Dic3—26no—
1329C2×Dic3—26no—
1330C2×Dic3—224no—
1331C2×Dic3—248no—
1332C2×Dic3—212no—
1333C2×Dic3—26no—
1334C2×Dic3—412no—
1335C2×Dic3—43no—
1336C2×Dic3—41no—
1337C2×Dic3—416no—
1338C2×Dic3—812no—
1339C2×Dic3C2×#12014yes—
1340C2×Dic3C2×#120112yes—
1341C2×Dic3C23×D4112yes—
1342C2×Dic3C23×D4112yes—
1343D12—248no—
1344D12—248no—
1345D12—824no—
1346C4×D3—296no—
1347C4×D3—248no—
1348C4×D3—248no—
1349C4×D3—824no—
1350Dic6—248no—
1351Dic6—248no—
1352C24—24no—
1353C24—28no—
1354C24—23no—
1355C24—23no—
1356C24—23no—
1357C24—26no—
1358C24—23no—
1359C24—23no—
1360C24—212no—
1361C24—212no—
1362C24—23no—
1363C24—36no—
1364C24—36no—
1365C24—32no—
1366C24—36no—
1367C24—324no—
1368C24—312no—
1369C24—32no—
1370C24—44no—
1371C24—412no—
1372C24—412no—
1373C24—46no—
1374C24—46no—
1375C24—41no—
1376C24—43no—
1377C24—612no—
1378C24—612no—
1379C24—624no—
1380C24—612no—
1381C24—632no—
1382C24—624no—
1383C24—66no—
1384C24—66no—
1385C24—63no—
1386C24—63no—
1387C24—82no—
1388C24—82no—
1389C24—88no—
1390C24—86no—
1391C24—86no—
1392C24—824no—
1393C24—86no—
1394C24—1224no—
1395C24—124no—
1396C24—1212no—
1397C24—162no—
1398C24—242no—
1399C24—242no—
1400C24—248no—
1401C24—2412no—
1402C24—2424no—
1403C24—246no—
1404C24—2412no—
1405C24—486no—
1406C24—488no—
1407C24C2×D3×D416yes—
1408C24C2×D3×D413yes—
1409C24C2×D3×D413yes—
1410C24C2×D3×D416yes—
1411C24C2×D3×D4112yescomplemented
1412C24C24×D312yes—
1413C24C24×D312yes—
1414C24C24×D311yescharacteristic
1415C24C24×D312yes—
1416#41—248no—
1417#41—296no—
1418#41—248no—
1419#41—696no—
1420#41—696no—
1421#41—6192no—
1422#41—6192no—
1423#41—696no—
1424#41—648no—
1425#41—696no—
1426#41—696no—
1427#41—696no—
1428#41—6192no—
1429#41—696no—
1430#41—696no—
1431#41—6192no—
1432#41—696no—
1433#41—6192no—
1434#41—632no—
1435#41—696no—
1436#41—648no—
1437C2×Q8—24no—
1438C2×Q8—28no—
1439C2×Q8—324no—
1440C2×Q8—612no—
1441C2×Q8—612no—
1442C2×Q8—612no—
1443C2×Q8—696no—
1444C2×Q8—624no—
1445C2×Q8—696no—
1446C2×Q8—632no—
1447C2×D4—212no—
1448C2×D4—224no—
1449C2×D4—248no—
1450C2×D4—296no—
1451C2×D4—212no—
1452C2×D4—224no—
1453C2×D4—248no—
1454C2×D4—212no—
1455C2×D4—224no—
1456C2×D4—212no—
1457C2×D4—224no—
1458C2×D4—212no—
1459C2×D4—224no—
1460C2×D4—224no—
1461C2×D4—224no—
1462C2×D4—324no—
1463C2×D4—324no—
1464C2×D4—34no—
1465C2×D4—312no—
1466C2×D4—324no—
1467C2×D4—324no—
1468C2×D4—312no—
1469C2×D4—324no—
1470C2×D4—324no—
1471C2×D4—324no—
1472C2×D4—312no—
1473C2×D4—324no—
1474C2×D4—424no—
1475C2×D4—612no—
1476C2×D4—612no—
1477C2×D4—612no—
1478C2×D4—696no—
1479C2×D4—624no—
1480C2×D4—624no—
1481C2×D4—612no—
1482C2×D4—612no—
1483C2×D4—624no—
1484C2×D4—6192no—
1485C2×D4—696no—
1486C2×D4—696no—
1487C2×D4—696no—
1488C2×D4—696no—
1489C2×D4—696no—
1490C2×D4—6192no—
1491C2×D4—696no—
1492C2×D4—6192no—
1493C2×D4—696no—
1494C2×D4—696no—
1495C2×D4—612no—
1496C2×D4—612no—
1497C2×D4—624no—
1498C2×D4—696no—
1499C2×D4—696no—
1500C2×D4—696no—
1501C2×D4—648no—
1502C2×D4—648no—
1503C2×D4—612no—
1504C2×D4—612no—
1505C2×D4—624no—
1506C2×D4—624no—
1507C2×D4—648no—
1508C2×D4—66no—
1509C2×D4—66no—
1510C2×D4—612no—
1511C2×D4—624no—
1512C2×D4—624no—
1513C2×D4—624no—
1514C2×D4—624no—
1515C2×D4—612no—
1516C2×D4—612no—
1517C2×D4—624no—
1518C2×D4—624no—
1519C2×D4—812no—
1520C2×D4—848no—
1521C2×D4—1212no—
1522C2×D4—124no—
1523C2×D4—1232no—
1524C2×D4—1296no—
1525C2×D4—1224no—
1526C2×D4—1212no—
1527C2×D4—124no—
1528C2×D4—126no—
1529C2×D4—126no—
1530C2×D4—121no—
1531C2×D4—123no—
1532C2×D4—2412no—
1533C2×D4—2412no—
1534C2×D4—2412no—
1535C2×D4—2496no—
1536C2×D4—2448no—
1537C2×D4C2×D3×D4112yes—
1538C2×D4C2×D3×D4124yescomplemented
1539C2×D4C24×D3112yes—
1540C22×C4—212no—
1541C22×C4—224no—
1542C22×C4—23no—
1543C22×C4—23no—
1544C22×C4—26no—
1545C22×C4—26no—
1546C22×C4—212no—
1547C22×C4—36no—
1548C22×C4—36no—
1549C22×C4—32no—
1550C22×C4—36no—
1551C22×C4—312no—
1552C22×C4—324no—
1553C22×C4—324no—
1554C22×C4—324no—
1555C22×C4—32no—
1556C22×C4—612no—
1557C22×C4—612no—
1558C22×C4—612no—
1559C22×C4—612no—
1560C22×C4—624no—
1561C22×C4—696no—
1562C22×C4—696no—
1563C22×C4—648no—
1564C22×C4—624no—
1565C22×C4—612no—
1566C22×C4—612no—
1567C22×C4—624no—
1568C22×C4—612no—
1569C22×C4—632no—
1570C22×C4—624no—
1571C22×C4—66no—
1572C22×C4—66no—
1573C22×C4—66no—
1574C22×C4—63no—
1575C22×C4—63no—
1576C22×C4—612no—
1577C22×C4—86no—
1578C22×C4—1212no—
1579C22×C4—124no—
1580C22×C4—2412no—
1581C22×C4—246no—
1582C22×C4C2×D3×D416yes—
1583C22×C4C2×D3×D4112yescomplemented
1584C4⋊C4—624no—
1585C4⋊C4—624no—
1586C4⋊C4—624no—
1587C22⋊C4—26no—
1588C22⋊C4—212no—
1589C22⋊C4—224no—
1590C22⋊C4—224no—
1591C22⋊C4—312no—
1592C22⋊C4—624no—
1593C22⋊C4—624no—
1594C22⋊C4—624no—
1595C22⋊C4—624no—
1596C22⋊C4—624no—
1597C22⋊C4—66no—
1598C22⋊C4—612no—
1599C22⋊C4—624no—
1600C22⋊C4—624no—
1601C22⋊C4C24×D3112yes—
1602C42—624no—
1603C22×C3—26no—
1604C22×C3—26no—
1605C22×C3—22no—
1606C22×C3—212no—
1607C22×C3—212no—
1608C22×C3—46no—
1609C22×C3—46no—
1610C22×C3—43no—
1611C22×C3—41no—
1612C22×C3—46no—
1613C22×C3—46no—
1614C22×C3—412no—
1615C22×C3—46no—
1616C22×C3—412no—
1617C22×C3—46no—
1618C22×C3—46no—
1619C22×C3—42no—
1620C22×C3—44no—
1621C22×C3—412no—
1622C22×C3—42no—
1623C22×C3—86no—
1624C22×C3—812no—
1625C22×C3—812no—
1626C22×C3—824no—
1627C22×C3—88no—
1628C22×C3—86no—
1629C22×C3—816no—
1630C22×C3—82no—
1631C22×C3C22×#12016yes—
1632C22×C3C22×#12013yes—
1633C22×C3C22×#12012yes—
1634C22×C3C22×#12011yescharacteristic
1635C22×C3C24×D413yes—
1636C2×D3—28no—
1637C2×D3—212no—
1638C2×D3—412no—
1639C2×D3—412no—
1640C2×D3—412no—
1641C2×D3—412no—
1642C2×D3—412no—
1643C2×D3—42no—
1644C2×D3—848no—
1645C2×D3—832no—
1646C2×D3—86no—
1647C2×D3—824no—
1648C2×D3—848no—
1649C2×D3—86no—
1650C2×D3—82no—
1651C2×D3C22×#12018yes—
1652C3×C4—212no—
1653C3×C4—412no—
1654Dic3—212no—
1655Dic3—412no—
1656Dic3—42no—
1657Dic3C22×#12018yes—
1658C23—212no—
1659C23—216no—
1660C23—26no—
1661C23—26no—
1662C23—212no—
1663C23—26no—
1664C23—212no—
1665C23—26no—
1666C23—34no—
1667C23—312no—
1668C23—312no—
1669C23—312no—
1670C23—46no—
1671C23—46no—
1672C23—42no—
1673C23—44no—
1674C23—46no—
1675C23—412no—
1676C23—412no—
1677C23—46no—
1678C23—424no—
1679C23—46no—
1680C23—424no—
1681C23—43no—
1682C23—41no—
1683C23—44no—
1684C23—412no—
1685C23—43no—
1686C23—41no—
1687C23—648no—
1688C23—648no—
1689C23—66no—
1690C23—66no—
1691C23—624no—
1692C23—66no—
1693C23—86no—
1694C23—86no—
1695C23—84no—
1696C23—812no—
1697C23—86no—
1698C23—82no—
1699C23—82no—
1700C23—812no—
1701C23—812no—
1702C23—812no—
1703C23—86no—
1704C23—88no—
1705C23—824no—
1706C23—824no—
1707C23—1212no—
1708C23—1212no—
1709C23—1212no—
1710C23—1248no—
1711C23—1216no—
1712C23—123no—
1713C23—121no—
1714C23—166no—
1715C23—168no—
1716C23—2412no—
1717C23—2424no—
1718C23—2416no—
1719C23—246no—
1720C23—242no—
1721C23—242no—
1722C23—2412no—
1723C23—2424no—
1724C23—246no—
1725C23—2424no—
1726C23—2424no—
1727C23—2448no—
1728C23—486no—
1729C23—4812no—
1730C23—4824no—
1731C23—4832no—
1732C23D3×#12011yescharacteristic
1733C23D3×#12013yes—
1734C23D3×#12016yes—
1735C23D3×#12016yes—
1736C23C22×D3×D413yes—
1737C23C22×D3×D4112yes—
1738C23C22×D3×D413yes—
1739C23C22×D3×D416yes—
1740C23C22×D3×D416yes—
1741C23C25×D311yescharacteristic
1742Q8—216no—
1743Q8—648no—
1744Q8—648no—
1745D4—248no—
1746D4—224no—
1747D4—224no—
1748D4—248no—
1749D4—316no—
1750D4—348no—
1751D4—448no—
1752D4—648no—
1753D4—648no—
1754D4—648no—
1755D4—648no—
1756D4—696no—
1757D4—624no—
1758D4—624no—
1759D4—624no—
1760D4—624no—
1761D4—824no—
1762D4—1216no—
1763D4—1248no—
1764D4—1216no—
1765D4—124no—
1766D4—1212no—
1767D4—2424no—
1768D4—2424no—
1769D4—2424no—
1770C2×C4—248no—
1771C2×C4—212no—
1772C2×C4—26no—
1773C2×C4—212no—
1774C2×C4—26no—
1775C2×C4—212no—
1776C2×C4—312no—
1777C2×C4—312no—
1778C2×C4—34no—
1779C2×C4—312no—
1780C2×C4—412no—
1781C2×C4—648no—
1782C2×C4—648no—
1783C2×C4—696no—
1784C2×C4—648no—
1785C2×C4—648no—
1786C2×C4—66no—
1787C2×C4—624no—
1788C2×C4—66no—
1789C2×C4—612no—
1790C2×C4—66no—
1791C2×C4—812no—
1792C2×C4—1216no—
1793C2×C4—1212no—
1794C2×C4—123no—
1795C2×C4—121no—
1796C2×C4—2424no—
1797C2×C4—2412no—
1798C2×C4C22×D3×D4112yes—
1799C2×C3—23no—
1800C2×C3—23no—
1801C2×C3—26no—
1802C2×C3—22no—
1803C2×C3—44no—
1804C2×C3—412no—
1805C2×C3—82no—
1806C2×C3#6039912yescomplemented
1807C2×C3C23×#12011yescharacteristic
1808D3—28no—
1809D3—412no—
1810D3—82no—
1811C22—26no—
1812C22—22no—
1813C22—26no—
1814C22—212no—
1815C22—212no—
1816C22—38no—
1817C22—46no—
1818C22—46no—
1819C22—43no—
1820C22—41no—
1821C22—46no—
1822C22—46no—
1823C22—412no—
1824C22—46no—
1825C22—412no—
1826C22—46no—
1827C22—46no—
1828C22—42no—
1829C22—44no—
1830C22—412no—
1831C22—42no—
1832C22—68no—
1833C22—612no—
1834C22—86no—
1835C22—812no—
1836C22—812no—
1837C22—88no—
1838C22—824no—
1839C22—86no—
1840C22—816no—
1841C22—82no—
1842C22—1212no—
1843C22—1212no—
1844C22—1212no—
1845C22—1212no—
1846C22—1212no—
1847C22—122no—
1848C22—246no—
1849C22—2424no—
1850C22—246no—
1851C22—2448no—
1852C22—2432no—
1853C22—2448no—
1854C22—242no—
1855C22C2×D3×#12012yes—
1856C22C2×D3×#12013yes—
1857C22C2×D3×#12016yes—
1858C22C2×D3×#12011yescharacteristic
1859C22C23×D3×D413yes—
1860C4—212no—
1861C4—38no—
1862C4—412no—
1863C4—612no—
1864C4—1212no—
1865C4—122no—
1866C3C2×#6039911yescharacteristic, complemented, Sylow
1867C2—23no—
1868C2—23no—
1869C2—22no—
1870C2—26no—
1871C2—44no—
1872C2—412no—
1873C2—68no—
1874C2—82no—
1875C2—1212no—
1876C2—242no—
1877C2#1166193512yesdirect product factor
1878C2C22×D3×#12011yescharacteristic
subgroupG/H
centerC22C2×D3×#120
commutator, cosocleC23×C3C26
FrattiniC23C25×D3
FittingC22×C3×B(4,𝔽2)C2
socleC22×C3C22×#120
hypercenterC22×B(4,𝔽2)D3
hypocenterC3C2×#60399
LCSG ▷ C23×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C25 ◁ C22×B(4,𝔽2)

Complements

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

NH ≅ G/Ntype
1. C2×#87568C2semidirect
2. C2×#85919C2semidirect
3. #11661935C2direct (N × H)
4. C2×#80305C2semidirect
5. C2×#78686C2semidirect
6. C2×#84110C2semidirect
7. C2×#80307C2semidirect
8. C2×#80304C2semidirect
9. C22×#5032C2semidirect
10. C2×D3×B(4,𝔽2)C2semidirect
11. C2×#78688C2semidirect
12. C22×C3×B(4,𝔽2)C2semidirect
14. C22×C3×H(5,𝔽2)C22semidirect
15. C24×#67C22semidirect
17. #87568C22semidirect
19. C2×D3×H(5,𝔽2)C22semidirect
21. C2×#5966C22semidirect
25. C22×#1004C22semidirect
26. C22×C3×#120C22semidirect
27. C22×#953C22semidirect
29. C2×#5804C22semidirect
31. #85919C22semidirect
34. C2×#5589C22semidirect
35. C2×D3×#120C22semidirect
36. C2×#5592C22semidirect
37. C2×#5586C22semidirect
39. C2×#5493C22semidirect
40. C2×#5486C22semidirect
41. C2×C3×B(4,𝔽2)C22semidirect
42. C2×C3×B(4,𝔽2)C22semidirect
43. C2×C3×B(4,𝔽2)C22semidirect
44. C22×C3×#99C22semidirect
45. #84110C22semidirect
46. C2×#5244C22semidirect
47. C2×#5243C22semidirect
48. C22×#834C22semidirect
49. C2×#5032C22semidirect
50. C2×#5032C22semidirect
51. C2×#5032C22semidirect
52. C22×#806C22semidirect
53. #80307C22semidirect
54. D3×B(4,𝔽2)C22semidirect
55. #80305C22semidirect
56. #80304C22semidirect
57. #78688C22semidirect
58. C2×D3×#99C22semidirect
59. #78686C22semidirect
60. C2×#4742C22semidirect
61. C2×#4741C22semidirect
62. C2×#4740C22semidirect
73. C22×B(4,𝔽2)D3semidirect
75. C26×C3C23semidirect
76. C25×D3C23semidirect
80. C2×C3×H(5,𝔽2)C23semidirect
91. C23×#67D4semidirect
94. C23×#67C23semidirect
95. C23×#67C23semidirect
96. C23×#67C23semidirect
97. C23×#67C23semidirect
98. C24×Dic3C23semidirect
102. #5966C23semidirect
106. D3×H(5,𝔽2)C23semidirect
130. C2×#1004D4semidirect
133. C2×#1004C23semidirect
137. C22×#237D4semidirect
143. C22×D3×D4D4semidirect
147. C22×#235D4semidirect
150. C2×C3×#120C23semidirect
151. C2×C3×#120C23semidirect
152. C2×C3×#120C23semidirect
154. C22×C3×C22⋊C4C23semidirect
158. C2×#953C23semidirect
159. C2×#953C23semidirect
160. C2×#953C23semidirect
162. C22×#217C23semidirect
164. #5804C23semidirect
173. C2×#937C23semidirect
174. C2×#935C23semidirect
180. #5592C23semidirect
184. #5589C23semidirect
186. D3×#120C23semidirect
188. #5586C23semidirect
190. #5493C23semidirect
192. C2×#886C23semidirect
200. C2×#882C23semidirect
202. #5486C23semidirect
206. C2×D3×C22⋊C4C23semidirect
208. C2×#877C23semidirect
209. C3×B(4,𝔽2)C23semidirect
210. C3×B(4,𝔽2)C23semidirect
211. C2×C3×#99C23semidirect
212. C2×C3×#99C23semidirect
213. #5244C23semidirect
214. #5243C23semidirect
215. C2×#834C23semidirect
216. C2×#834C23semidirect
217. #5032C23semidirect
218. #5032C23semidirect
219. C2×#806C23semidirect
220. C2×#806C23semidirect
221. D3×#99C23semidirect
222. #4742C23semidirect
223. #4741C23semidirect
224. #4740C23semidirect
235. C22×H(5,𝔽2)C2×D3semidirect
250. C22×#120C2×D3semidirect
265. C2×B(4,𝔽2)C2×D3semidirect
266. C2×B(4,𝔽2)C2×D3semidirect
267. C2×B(4,𝔽2)C2×D3semidirect
273. C22×#99C2×D3semidirect
279. C25×C3C2×D4semidirect
283. C25×C3C24semidirect
289. C24×D3C2×D4semidirect
290. C24×D3C2×D4semidirect
293. C24×D3C24semidirect
315. C22×C3×D4C2×D4semidirect
316. C22×C3×D4C2×D4semidirect
321. C23×C3×C4C2×D4semidirect
357. C22×#67C2×D4semidirect
358. C22×#67C2×D4semidirect
359. C22×#67C2×D4semidirect
360. C22×#67C2×D4semidirect
361. C22×#67C2×D4semidirect
365. C22×#67C24semidirect
366. C22×#67C24semidirect
367. C22×#67C24semidirect
373. C23×Dic3C2×D4semidirect
374. C23×Dic3C2×D4semidirect
377. C23×Dic3C24semidirect
425. C2×#237C2×D4semidirect
426. C2×#237C2×D4semidirect
444. C2×D3×D4C2×D4semidirect
445. C2×D3×D4C2×D4semidirect
457. C2×#235C2×D4semidirect
461. C22×D12C2×D4semidirect
466. C22×C4×D3C2×D4semidirect
467. C22×C4×D3C2×D4semidirect
470. C22×Dic6C2×D4semidirect
474. C3×#120C24semidirect
475. C3×#120C24semidirect
482. C2×C3×C22⋊C4C24semidirect
487. #953C24semidirect
488. #953C24semidirect
496. C2×#217C24semidirect
505. #937C24semidirect
507. #935C24semidirect
522. #886C24semidirect
530. #882C24semidirect
535. D3×C22⋊C4C24semidirect
538. #877C24semidirect
539. C3×#99C24semidirect
540. #834C24semidirect
541. #806C24semidirect
543. C26C22×D3semidirect
579. C2×H(5,𝔽2)C22×D3semidirect
660. C2×#120C22×D3semidirect
661. C2×#120C22×D3semidirect
662. C2×#120C22×D3semidirect
675. C22×C22⋊C4C22×D3semidirect
682. B(4,𝔽2)C22×D3semidirect
683. B(4,𝔽2)C22×D3semidirect
690. C2×#99C22×D3semidirect
691. C2×#99C22×D3semidirect
722. C24×C3C22×D4semidirect
752. C23×D3C22×D4semidirect
753. C23×D3C22×D4semidirect
780. C2×C3×D4C22×D4semidirect
791. C22×C3×C4C22×D4semidirect
842. C2×#67C22×D4semidirect
843. C2×#67C22×D4semidirect
844. C2×#67C22×D4semidirect
864. C22×Dic3C22×D4semidirect
865. C22×Dic3C22×D4semidirect
905. C2×D12C22×D4semidirect
916. C2×C4×D3C22×D4semidirect
917. C2×C4×D3C22×D4semidirect
923. C2×Dic6C22×D4semidirect
958. C25D3×D4semidirect
962. C25C23×D3semidirect
1117. C22×D4D3×D4semidirect
1118. C22×D4D3×D4semidirect
1139. C23×C4D3×D4semidirect
1174. #120C23×D3semidirect
1175. #120C23×D3semidirect
1206. C2×C22⋊C4C23×D3semidirect
1210. #99C23×D3semidirect
1411. C24C2×D3×D4semidirect
1538. C2×D4C2×D3×D4semidirect
1583. C22×C4C2×D3×D4semidirect
1806. C2×C3#60399semidirect
1866. C3C2×#60399semidirect
1877. C2#11661935direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#875682
C2×#859192
#116619352
C2×#803052
C2×#786862
C2×#841102
C2×#803072
C2×#803042
C22×#50322
C2×D3×B(4,𝔽2)2
C2×#786882
C22×C3×B(4,𝔽2)2
C2×#603993