Finite Group Databasebeta

← #7683259

Subgroups — #7683259

Order 512.

8158 conjugacy classes of subgroups.

The subgroup lattice has 2013 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3500C211yesmaximal, characteristic, complemented
2C2×#3507C211yesmaximal, characteristic, complemented
3#59813C212yesmaximal, complemented
4#59807C212yesmaximal, complemented
5#59755C212yesmaximal, complemented
6#59650C212yesmaximal, complemented
7#59148C212yesmaximal, complemented
8#59147C212yesmaximal, complemented
9#59091C214yesmaximal, complemented
10#59087C214yesmaximal, complemented
11#59078C212yesmaximal, complemented
12#59049C212yesmaximal, complemented
13#45417C212yesmaximal, complemented
14#45404C212yesmaximal, complemented
15#45323C212yesmaximal, complemented
16#45265C212yesmaximal, complemented
17#45240C212yesmaximal, complemented
18#45023C212yesmaximal, complemented
19#44957C212yesmaximal, complemented
20#44955C212yesmaximal, complemented
21#44022C214yesmaximal, complemented
22#43998C214yesmaximal, complemented
23#35677C211yesmaximal, characteristic, complemented
24#35660C211yesmaximal, characteristic, complemented
25#35556C211yesmaximal, characteristic, complemented
26#35533C211yesmaximal, characteristic, complemented
27#35517C211yesmaximal, characteristic, complemented
28#35513C211yesmaximal, characteristic, complemented
29#34937C211yesmaximal, characteristic, complemented
30#34745C211yesmaximal, characteristic, complemented
31C2×#2448C211yesmaximal, characteristic, complemented
32#34268C211yesmaximal, characteristic, complemented
33#34267C211yesmaximal, characteristic, complemented
34#34258C211yesmaximal, characteristic, complemented
35#34257C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C22×H(5,𝔽2)C2211yescharacteristic
38#3507—216no—
39#3500—216no—
40C2×#559C2212yescomplemented
41C2×#557C2212yescomplemented
42C2×#556C2212yescomplemented
43C2×#556C2212yescomplemented
44C2×#556C2212yescomplemented
45C2×#554C2212yescomplemented
46C2×#552C2212yescomplemented
47C2×#552C2212yescomplemented
48C2×#548C2212yes—
49C2×#548C2212yes—
50C2×#546C2212yes—
51C2×#546C2212yes—
52C2×#546C2214yes—
53C2×#546C2214yes—
54C2×#539C2214yescomplemented
55C2×#537C2211yescharacteristic
56C2×#536C2212yes—
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic, complemented
59C2×#535C2212yes—
60C2×#535C2211yescharacteristic
61C2×#535C2211yescharacteristic
62C2×#533C2211yescharacteristic, complemented
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic, complemented
67C2×#529C2214yescomplemented
68C22×#124C2212yes—
69C22×#124C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic, complemented
72C2×#519C2211yescharacteristic, complemented
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic, complemented
76#2715C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2712C2214yescomplemented
80#2711C2214yescomplemented
81#2711C2214yescomplemented
82#2710C2214yescomplemented
83#2707C2214yescomplemented
84#2705C2214yescomplemented
85#2704C2214yescomplemented
86#2703C2214yescomplemented
87#2702C2214yescomplemented
88#2700C2214yescomplemented
89#2696C2214yescomplemented
90#2694C2214yescomplemented
91#2692C2214yescomplemented
92#2691C2214yescomplemented
93#2690C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2678C2214yescomplemented
97#2672C2214yescomplemented
98#2671C2214yescomplemented
99#2670C2214yescomplemented
100#2592C2212yescomplemented
101#2592C2212yescomplemented
102#2560C2214yescomplemented
103#2559C2214yescomplemented
104#2558C2214yescomplemented
105#2557C2214yescomplemented
106#2556C2214yescomplemented
107#2555C2214yescomplemented
108#2554C2214yescomplemented
109#2548C2212yescomplemented
110#2548C2212yescomplemented
111#2548C2211yescharacteristic, complemented
112#2548C2212yescomplemented
113#2548C2212yescomplemented
114#2548C2212yescomplemented
115#2547C2211yescharacteristic, complemented
116#2546C2211yescharacteristic, complemented
117#2545C2212yescomplemented
118#2545C2212yescomplemented
119#2545C2212yescomplemented
120#2545C2211yescharacteristic, complemented
121#2545C2211yescharacteristic, complemented
122#2544C2211yescharacteristic, complemented
123#2544C2212yescomplemented
124#2544C2211yescharacteristic, complemented
125#2543C2212yescomplemented
126#2543C2212yescomplemented
127#2541C2211yescharacteristic, complemented
128#2541C2212yescomplemented
129#2540C2214yescomplemented
130#2539C2214yescomplemented
131#2521C2214yescomplemented
132#2491C2212yescomplemented
133#2491C2212yescomplemented
134#2490C2214yescomplemented
135#2490C2212yescomplemented
136#2490C2212yescomplemented
137#2487C2212yescomplemented
138#2486C2212yescomplemented
139#2485C2212yescomplemented
140#2485C2212yescomplemented
141#2480C2214yescomplemented
142#2480C2214yescomplemented
143#2477C2214yescomplemented
144#2476C2214yescomplemented
145#2474C2214yescomplemented
146#2472C2214yescomplemented
147#2472C2214yescomplemented
148#2472C2214yescomplemented
149#2472C2214yescomplemented
150#2471C2214yescomplemented
151#2467C2214yescomplemented
152#2467C2214yescomplemented
153#2465C2214yescomplemented
154#2464C2214yescomplemented
155#2460C2214yescomplemented
156#2460C2214yescomplemented
157#2459C2214yescomplemented
158#2458C2214yescomplemented
159#2454C2211yescharacteristic, complemented
160#2454C2211yescharacteristic, complemented
161#2454C2214yescomplemented
162#2453C2211yescharacteristic, complemented
163#2453C2211yescharacteristic, complemented
164#2452C2211yescharacteristic, complemented
165#2452C2211yescharacteristic, complemented
166#2451C2211yescharacteristic, complemented
167#2451C2211yescharacteristic, complemented
168#2450C2212yescomplemented
169#2450C2212yescomplemented
170#2449C2212yescomplemented
171#2449C2212yescomplemented
172#2448C2212yescomplemented
173#2448C2212yescomplemented
174#2448C2212yescomplemented
175#2448C2212yescomplemented
176#2448C2212yescomplemented
177#2448C2212yescomplemented
178#2448C2212yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2447C2212yescomplemented
182#2446C2212yescomplemented
183#2445C2212yescomplemented
184#2444C2214yescomplemented
185#2443C2214yescomplemented
186#2437C2214yescomplemented
187#2436C2212yescomplemented
188#2435C2212yes—
189#2434C2212yescomplemented
190#2433C2212yes—
191#2432C2212yes—
192#2432C2212yescomplemented
193#2431C2212yes—
194#2431C2212yescomplemented
195#2430C2214yescomplemented
196#2430C2214yescomplemented
197#2427C2214yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2426C2214yescomplemented
201#2426C2212yescomplemented
202#2426C2212yescomplemented
203#2424C2214yescomplemented
204#2424C2214yescomplemented
205#2424C2214yescomplemented
206#2418C2214yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2214yescomplemented
214#2412C2214yescomplemented
215#2411C2214yescomplemented
216#2411C2214yescomplemented
217#2411C2214yescomplemented
218#2410C2214yes—
219#2410C2214yes—
220#2409C2212yescomplemented
221#2409C2212yescomplemented
222#2408C2212yes—
223#2408C2212yes—
224#2407C2212yes—
225#2407C2212yes—
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2396C2212yescomplemented
229#2396C2212yescomplemented
230C2×#399C2212yescomplemented
231#2392C2212yescomplemented
232#2392C2212yescomplemented
233C2×#397C2212yescomplemented
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2367C2214yescomplemented
237#2365C2212yescomplemented
238#2365C2212yescomplemented
239#2364C2214yescomplemented
240#2363C2212yescomplemented
241#2363C2214yescomplemented
242#2362C2212yescomplemented
243#2361C2212yescomplemented
244#2361C2214yescomplemented
245#2360C2212yescomplemented
246#2359C2214yescomplemented
247#2359C2214yescomplemented
248#2358C2214yescomplemented
249#2342C2214yescomplemented
250#2341C2212yes—
251#2341C2212yes—
252#2341C2212yescomplemented
253#2341C2212yescomplemented
254#2341C2212yescomplemented
255#2341C2212yescomplemented
256Q8×C22⋊C4C2212yescomplemented
257Q8×C22⋊C4C2212yescomplemented
258Q8×C22⋊C4C2212yescomplemented
259Q8×C22⋊C4C2212yescomplemented
260D4×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262D4×C22⋊C4C2214yes—
263D4×C22⋊C4C2214yes—
264#2324C2212yescomplemented
265#2323C2212yescomplemented
266#2323C2212yescomplemented
267#2323C2212yescomplemented
268#2311C2212yes—
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic, complemented
272#2311C2211yescharacteristic, complemented
273#2311C2214yescomplemented
274#2309C2212yes—
275#2309C2211yescharacteristic
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284#2297C2211yescharacteristic
285#2297C2212yes—
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic, complemented
288#2297C2211yescharacteristic, complemented
289#2297C2214yescomplemented
290#2296C2211yescharacteristic, complemented
291#2296C2211yescharacteristic, complemented
292C2×#391C2211yescharacteristic, complemented
293C2×#390C2212yes—
294C2×#390C2211yescharacteristic
295C2×#390C2211yescharacteristic
296C2×#389C2211yescharacteristic, complemented
297C2×#388C2212yescomplemented
298C2×#388C2212yescomplemented
299#2274C2211yescharacteristic, complemented
300C2×C4×C4⋊C4C2211yescharacteristic, complemented
301C2×2−1+4—28no—
302C2×2−1+4—28no—
303C2×2−1+4—44no—
304C2×H(5,𝔽2)—28no—
305C2×H(5,𝔽2)—28no—
306C2×H(5,𝔽2)—44no—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2312yes—
310C22×#41C2314yes—
311C22×#41C2312yes—
312C22×#41C2312yes—
313C22×#41C2312yes—
314C22×#41C2311yescharacteristic
315C22×#41C2311yescharacteristic
316C23×Q8C2312yes—
317C23×Q8C2312yes—
318C23×Q8C2311yescharacteristic
319C23×D4C2311yescharacteristic
320C23×D4C2312yes—
321C23×D4C2314yes—
322C23×D4C2312yes—
323#559—216no—
324#557—216no—
325#556—216no—
326#556—216no—
327#556—216no—
328#554—216no—
329#552—216no—
330#552—216no—
331#548—216no—
332#548—216no—
333#546—232no—
334#546—232no—
335#546—216no—
336#546—216no—
337#539—232no—
338#537—28no—
339#536—28no—
340#536—216no—
341#536D4116yescomplemented
342#535—216no—
343#535—28no—
344#535—44no—
345#533—28no—
346#532—28no—
347#532—28no—
348#532—216no—
349#532—44no—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2311yescharacteristic
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2311yescharacteristic
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2311yescharacteristic
356C2×C4⋊Q8C2312yes—
357C2×#127C2311yescharacteristic
358C2×#127C2312yes—
359C2×#127C2311yescharacteristic
360C2×#127C2311yescharacteristic
361C2×#127C2312yes—
362#529—232no—
363C2×#126C2314yes—
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#126C2314yes—
367C2×#125C2314yes—
368C2×#125C2311yescharacteristic
369C2×#125C2311yescharacteristic
370C2×#125C2314yes—
371C2×#125C2314yes—
372C2×#124—28no—
373C2×#124—216no—
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2314yes—
382C2×#124C2314yes—
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#124C2314yes—
388C2×#124C2311yescharacteristic
389C2×#124C2311yescharacteristic
390C2×#124C2312yes—
391C2×#124C2314yes—
392C2×#124C2312yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441#520—28no—
442#520—28no—
443#519—44no—
444C4×#41—28no—
445C4×#41—44no—
446C2×C4×Q8—28no—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2314yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2314yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2314yes—
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2312yes—
491C2×#117C2314yes—
492C2×#117C2312yes—
493C2×#117C2314yes—
494C2×#117C2312yes—
495C2×#117C2314yes—
496C2×#117C2311yescharacteristic
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2311yescharacteristic
503C22×C4⋊C4C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C22⋊C4C2314yes—
506C22×C22⋊C4C2314yes—
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2314yes—
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2312yes—
512C22×C22⋊C4C2314yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C42C2312yes—
516C22×C42C2311yescharacteristic
517C22×C42C2311yescharacteristic
518C22×C42C2312yes—
519C22×C42C2311yescharacteristic
520C22×C42C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2314yes—
524#399C2314yes—
525#399C2314yes—
526#399C2314yes—
527#399C2314yes—
528#399C2312yes—
529#399C2312yes—
530#399C2314yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2312yes—
545#397C2312yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#396C2312yes—
550#396C2312yes—
551#396C2312yes—
552#396C2312yes—
553#396C2312yes—
554#396C2312yes—
555#396C2312yes—
556#396C2312yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#395C2312yes—
564#395C2312yes—
565#395C2314yes—
566#395C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#393C2312yes—
597#393C2312yes—
598#393C2314yes—
599#392C2312yes—
600#392C2312yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#391C2314yes—
610#391C2312yes—
611#391C2311yescharacteristic
612#391C2312yes—
613#391C2312yes—
614#391C2314yes—
615#391C2312yes—
616#391C2312yes—
617#391C2311yescharacteristic
618#391C2311yescharacteristic
619#391C2311yescharacteristic
620#391C2311yescharacteristic
621#391C2311yescharacteristic
622#391C2314yes—
623#391C2314yes—
624#391C2312yes—
625#391C2312yes—
626#391C2312yes—
627#391C2312yes—
628#391C2311yescharacteristic
629#391C2312yes—
630#391C2311yescharacteristic
631#390C2314yes—
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2314yes—
640#390C2314yes—
641#390C2312yes—
642#390C2314yes—
643#390C2314yes—
644#390C2312yes—
645#390C2312yes—
646#390C2311yescharacteristic
647#390C2314yes—
648#390C2312yes—
649#390C2312yes—
650#390C2314yes—
651#390C2314yes—
652#390C2312yes—
653#390C2312yes—
654#390C2311yescharacteristic
655#390C2311yescharacteristic
656#390C2314yes—
657#390C2314yes—
658#390C2311yescharacteristic
659#390C2311yescharacteristic
660#390C2314yes—
661#390C2312yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2312yes—
666#390C2312yes—
667#390C2311yescharacteristic
668#390C2314yes—
669#390C2312yes—
670#390C2314yes—
671#390C2312yes—
672#390C2314yes—
673#390C2311yescharacteristic
674#389C2311yescharacteristic
675#389C2311yescharacteristic
676#389C2312yes—
677#389C2314yes—
678#389C2314yes—
679#389C2314yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2311yescharacteristic
684#389C2311yescharacteristic
685#389C2312yes—
686#389C2312yes—
687#389C2311yescharacteristic
688#389C2311yescharacteristic
689#389C2311yescharacteristic
690#389C2311yescharacteristic
691#389C2312yes—
692#389C2312yes—
693#388C2312yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2312yes—
724#388C2312yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2312yes—
734#387C2312yes—
735#387C2312yes—
736#387C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#386C2312yes—
750#386C2314yes—
751#386C2312yes—
752#386C2314yes—
753#386C2314yes—
754#386C2312yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2312yes—
759#386C2314yes—
760#386C2314yes—
761#386C2312yes—
762#386C2312yes—
763#386C2312yes—
764#386C2314yes—
765#386C2312yes—
766#386C2314yes—
767#386C2312yes—
768#385C2314yes—
769#385C2312yes—
770#385C2314yes—
771#385C2312yes—
772#385C2314yes—
773#385C2312yes—
774#385C2312yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2312yes—
784#385C2312yes—
785#385C2312yes—
786#385C2312yes—
787#381C2314yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#380C2312yes—
796#380C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#379C2314yes—
807#379C2314yes—
808#379C2314yes—
809#379C2314yes—
810#379C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2311yescharacteristic
853C2×#95C2311yescharacteristic
854C25C2412yes—
855C25C2414yes—
8562−1+4—464no—
857H(5,𝔽2)—464no—
858C2×#41—28no—
859C2×#41—28no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—216no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—216no—
868C2×#41—28no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—28no—
872C2×#41—28no—
873C2×#41—24no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—24no—
878C2×#41—48no—
879C2×#41—44no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41C2×D418yes—
884C2×#41#4118yes—
885C22×Q8—28no—
886C22×Q8—28no—
887C22×Q8—28no—
888C22×Q8—24no—
889C22×Q8—28no—
890C22×Q8—24no—
891C22×Q8—44no—
892C22×Q8—44no—
893C22×Q8C2×D418yes—
894C22×Q8C2411yescharacteristic
895C22×Q8C2411yescharacteristic
896C22×Q8C2412yes—
897C22×Q8C2414yes—
898C22×Q8C2412yes—
899C22×Q8C2412yes—
900C22×Q8C2411yescharacteristic
901C22×Q8C2411yescharacteristic
902C22×Q8C2412yes—
903C22×D4—28no—
904C22×D4—216no—
905C22×D4—28no—
906C22×D4—216no—
907C22×D4—24no—
908C22×D4—28no—
909C22×D4—28no—
910C22×D4—24no—
911C22×D4—24no—
912C22×D4—44no—
913C22×D4—44no—
914C22×D4—48no—
915C22×D4C2412yes—
916C22×D4C2411yescharacteristic
917C22×D4C2412yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C22×D4C2411yescharacteristic
921C22×D4C2412yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2412yes—
926C22×D4C2411yescharacteristic
927C22×D4C2412yes—
928C22×D4C2411yescharacteristic
929C22×D4C2414yes—
930C22×D4C2412yes—
931C22×D4C2412yes—
932C22×D4C2414yes—
933C22×D4C2414yes—
934C22×D4C2412yes—
935C22×D4C2412yes—
936C22×D4C2412yes—
937C22×D4C2414yes—
938C22×D4C2414yes—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2414yes—
944C23×C4C2414yes—
945C23×C4C2414yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2411yescharacteristic
951C23×C4C2411yescharacteristic
952C23×C4C2412yes—
953C23×C4C2414yes—
954C23×C4C2411yescharacteristic
955C23×C4C2412yes—
956C23×C4C2412yes—
957C23×C4C2411yescharacteristic
958C23×C4C2412yes—
959C23×C4C2414yes—
960C23×C4C2412yes—
961C23×C4C2411yescharacteristic
962C4⋊Q8—24no—
963C4⋊Q8—24no—
964C4⋊Q8—28no—
965C4⋊Q8—24no—
966C4⋊Q8—24no—
967C4⋊Q8—42no—
968C4⋊Q8C2×D4116yes—
969#127—24no—
970#127—24no—
971#127—28no—
972#127—42no—
973#127—44no—
974#126—216no—
975#126—216no—
976#126—216no—
977#126—216no—
978#125—216no—
979#125—24no—
980#125—24no—
981#125—216no—
982#125—216no—
983#124—28no—
984#124—28no—
985#124—28no—
986#124—28no—
987#124—24no—
988#124—24no—
989#124—28no—
990#124—24no—
991#124—24no—
992#124—216no—
993#124—216no—
994#124—216no—
995#124—28no—
996#124—42no—
997#124—42no—
998#124—44no—
999#124—48no—
1000#124—84no—
1001#124C2×D4116yes—
1002#123—216no—
1003#123—216no—
1004#123—216no—
1005#123—216no—
1006#123—216no—
1007#123—84no—
1008#123C2×D4132yes—
1009C22⋊Q8—28no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—28no—
1013C22⋊Q8—216no—
1014C22⋊Q8—216no—
1015C22⋊Q8—216no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—216no—
1019C22⋊Q8—44no—
1020C22⋊Q8—44no—
1021C22⋊Q8C2×D4116yes—
1022C22⋊Q8C2×D4116yes—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—216no—
1029#121—28no—
1030#121—216no—
1031#121—216no—
1032#121—28no—
1033#121—28no—
1034#121—216no—
1035#121—216no—
1036#121—48no—
1037#121—44no—
1038#121—44no—
1039#121—44no—
1040#121—44no—
1041#121—44no—
1042#121—44no—
1043#121—84no—
1044#120—216no—
1045#120—216no—
1046#120—216no—
1047#120—48no—
1048#120—48no—
1049#120—84no—
1050C4×Q8—28no—
1051C4×Q8—28no—
1052C4×Q8—28no—
1053C4×Q8—28no—
1054C4×Q8—28no—
1055C4×Q8—24no—
1056C4×Q8—24no—
1057C4×Q8—216no—
1058C4×Q8—28no—
1059C4×Q8—28no—
1060C4×Q8—28no—
1061C4×Q8—42no—
1062C4×Q8—42no—
1063C4×Q8—44no—
1064C4×Q8—44no—
1065C4×Q8—44no—
1066C4×Q8—44no—
1067C4×D4—216no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—24no—
1074C4×D4—24no—
1075C4×D4—216no—
1076C4×D4—216no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—216no—
1080C4×D4—216no—
1081C4×D4—28no—
1082C4×D4—42no—
1083C4×D4—42no—
1084C4×D4—44no—
1085C4×D4—44no—
1086C4×D4—44no—
1087C4×D4—44no—
1088C4×D4—84no—
1089#117—24no—
1090#117—28no—
1091#117—24no—
1092#117—24no—
1093#117—28no—
1094#117—216no—
1095#117—216no—
1096#117—28no—
1097#117—44no—
1098#117—48no—
1099#117C2×D418yes—
1100C2×C4⋊C4—24no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4—24no—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—42no—
1106C2×C4⋊C4—42no—
1107C2×C4⋊C4—82no—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—216no—
1168C2×C22⋊C4—216no—
1169C2×C22⋊C4—44no—
1170C2×C22⋊C4—48no—
1171C2×C22⋊C4—44no—
1172C2×C22⋊C4—84no—
1173C2×C22⋊C4—82no—
1174C2×C22⋊C4—82no—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C42—28no—
1248C2×C42—24no—
1249C2×C42—24no—
1250C2×C42—24no—
1251C2×C42—28no—
1252C2×C42—44no—
1253C2×C42C2411yescharacteristic
1254C2×C42C2414yes—
1255C2×C42C2414yes—
1256C2×C42C2414yes—
1257C2×C42C2412yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2411yescharacteristic
1268C2×C42C2414yes—
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2414yes—
1275C2×C42C2414yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2414yes—
1279C2×C42C2414yes—
1280C2×C42C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2411yescharacteristic
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2414yes—
1328#95C2414yes—
1329C24—28no—
1330C24—24no—
1331C24—28no—
1332C24—24no—
1333C24—24no—
1334C24—44no—
1335C24—42no—
1336C24—42no—
1337C24—42no—
1338C24—42no—
1339C24—44no—
1340C24—44no—
1341C24—44no—
1342C24—44no—
1343C24C2514yes—
1344C24C2512yes—
1345C24C2512yes—
1346C24C2512yes—
1347C24C2512yes—
1348C24C2511yescharacteristic
1349#41—232no—
1350#41—232no—
1351#41—464no—
1352#41—432no—
1353#41—432no—
1354#41—432no—
1355#41—432no—
1356#41—416no—
1357#41—416no—
1358C2×Q8—232no—
1359C2×Q8—22no—
1360C2×Q8—24no—
1361C2×Q8—22no—
1362C2×Q8—28no—
1363C2×Q8—22no—
1364C2×Q8—24no—
1365C2×Q8—24no—
1366C2×Q8—24no—
1367C2×Q8—22no—
1368C2×Q8—22no—
1369C2×Q8—28no—
1370C2×Q8—22no—
1371C2×Q8—24no—
1372C2×Q8—24no—
1373C2×Q8—22no—
1374C2×Q8—22no—
1375C2×Q8—22no—
1376C2×Q8—22no—
1377C2×Q8—24no—
1378C2×Q8—44no—
1379C2×Q8—42no—
1380C2×Q8—42no—
1381C2×Q8—42no—
1382C2×Q8—432no—
1383C2×Q8—432no—
1384C2×Q8C22×D418yes—
1385C2×Q8C22×D418yes—
1386C2×Q8C22×D414yes—
1387C2×Q8C2×#4114yes—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—28no—
1396C2×D4—24no—
1397C2×D4—28no—
1398C2×D4—28no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—28no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—28no—
1409C2×D4—28no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—22no—
1413C2×D4—28no—
1414C2×D4—28no—
1415C2×D4—22no—
1416C2×D4—22no—
1417C2×D4—28no—
1418C2×D4—24no—
1419C2×D4—24no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—24no—
1424C2×D4—22no—
1425C2×D4—24no—
1426C2×D4—22no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—432no—
1430C2×D4—432no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—42no—
1434C2×D4—44no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—44no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—42no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—42no—
1451C2×D4—42no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—464no—
1459C2×D4—416no—
1460C2×D4C22×D418yes—
1461C2×D4C22×D414yes—
1462C2×D4C2×#4118yes—
1463C2×D4C2×#4114yes—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—22no—
1471C22×C4—28no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—28no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—28no—
1481C22×C4—24no—
1482C22×C4—28no—
1483C22×C4—24no—
1484C22×C4—28no—
1485C22×C4—24no—
1486C22×C4—28no—
1487C22×C4—28no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—28no—
1496C22×C4—24no—
1497C22×C4—41no—
1498C22×C4—41no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—42no—
1508C22×C4—41no—
1509C22×C4—41no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—44no—
1513C22×C4—41no—
1514C22×C4—41no—
1515C22×C4—41no—
1516C22×C4—41no—
1517C22×C4—42no—
1518C22×C4—44no—
1519C22×C4—42no—
1520C22×C4—44no—
1521C22×C4—42no—
1522C22×C4—42no—
1523C22×C4—42no—
1524C22×C4—42no—
1525C22×C4—41no—
1526C22×C4—41no—
1527C22×C4C22×D418yes—
1528C22×C4C22×D418yes—
1529C22×C4C22×D414yes—
1530C22×C4C2×#4118yes—
1531C22×C4C2×#4114yes—
1532C22×C4H(5,𝔽2)14yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2514yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2512yes—
1539C22×C4C2512yes—
1540C22×C4C2511yescharacteristic
1541C22×C4C2512yes—
1542C22×C4C2512yes—
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2514yes—
1547C22×C4C2512yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2511yescharacteristic
1550C22×C4C2511yescharacteristic
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2514yes—
1555C22×C4C2512yes—
1556C22×C4C2512yes—
1557C22×C4C2512yes—
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—28no—
1566C4⋊C4—28no—
1567C4⋊C4—28no—
1568C4⋊C4—28no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—28no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—28no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—28no—
1587C4⋊C4—22no—
1588C4⋊C4—22no—
1589C4⋊C4—22no—
1590C4⋊C4—22no—
1591C4⋊C4—22no—
1592C4⋊C4—22no—
1593C4⋊C4—22no—
1594C4⋊C4—22no—
1595C4⋊C4—24no—
1596C4⋊C4—41no—
1597C4⋊C4—41no—
1598C4⋊C4—41no—
1599C4⋊C4—41no—
1600C4⋊C4—44no—
1601C4⋊C4—44no—
1602C4⋊C4—42no—
1603C4⋊C4—42no—
1604C4⋊C4—42no—
1605C4⋊C4—42no—
1606C4⋊C4—44no—
1607C4⋊C4—44no—
1608C4⋊C4—42no—
1609C4⋊C4—42no—
1610C4⋊C4—42no—
1611C4⋊C4—42no—
1612C4⋊C4—42no—
1613C4⋊C4—42no—
1614C4⋊C4—42no—
1615C4⋊C4C22×D414yes—
1616C4⋊C4C22×D414yes—
1617C4⋊C4C22×D4116yes—
1618C4⋊C4C22×D4116yes—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—28no—
1629C22⋊C4—28no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—28no—
1638C22⋊C4—28no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—28no—
1643C22⋊C4—28no—
1644C22⋊C4—28no—
1645C22⋊C4—24no—
1646C22⋊C4—28no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—42no—
1661C22⋊C4—44no—
1662C22⋊C4—42no—
1663C22⋊C4—42no—
1664C22⋊C4—42no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—42no—
1676C22⋊C4—44no—
1677C22⋊C4—42no—
1678C22⋊C4—44no—
1679C22⋊C4—42no—
1680C22⋊C4—42no—
1681C22⋊C4—44no—
1682C22⋊C4—42no—
1683C22⋊C4—42no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—42no—
1688C22⋊C4C22×D4116yes—
1689C22⋊C4C22×D4116yes—
1690C22⋊C4C22×D418yes—
1691C42—22no—
1692C42—28no—
1693C42—22no—
1694C42—24no—
1695C42—24no—
1696C42—22no—
1697C42—22no—
1698C42—22no—
1699C42—22no—
1700C42—28no—
1701C42—22no—
1702C42—22no—
1703C42—28no—
1704C42—28no—
1705C42—24no—
1706C42—22no—
1707C42—22no—
1708C42—22no—
1709C42—22no—
1710C42—24no—
1711C42—24no—
1712C42—42no—
1713C42—42no—
1714C42—44no—
1715C42—44no—
1716C42—44no—
1717C42—44no—
1718C42C22×D418yes—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—24no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—24no—
1741C23—22no—
1742C23—22no—
1743C23—24no—
1744C23—22no—
1745C23—24no—
1746C23—24no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—24no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—24no—
1756C23—416no—
1757C23—48no—
1758C23—84no—
1759C23—84no—
1760C23—84no—
1761C23—84no—
1762C23—84no—
1763C23—84no—
1764C23—88no—
1765C23—88no—
1766C23—88no—
1767C23—88no—
1768C23—164no—
1769C23—164no—
1770C23C23×D414yes—
1771C23C23×D412yes—
1772C23C22×#4114yes—
1773C23C22×#4112yes—
1774C23C2×H(5,𝔽2)12yes—
1775C23C2611yescharacteristic
1776Q8—216no—
1777Q8—216no—
1778Q8—28no—
1779Q8—28no—
1780Q8—48no—
1781Q8—416no—
1782Q8—44no—
1783Q8—44no—
1784Q8—84no—
1785D4—216no—
1786D4—216no—
1787D4—28no—
1788D4—28no—
1789D4—48no—
1790D4—416no—
1791D4—416no—
1792D4—416no—
1793D4—48no—
1794D4—48no—
1795D4—48no—
1796D4—48no—
1797D4—44no—
1798D4—44no—
1799D4—88no—
1800D4—88no—
1801D4—84no—
1802D4—84no—
1803D4—84no—
1804D4—84no—
1805D4—88no—
1806D4—84no—
1807D4—164no—
1808D4—164no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—216no—
1824C2×C4—216no—
1825C2×C4—216no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—24no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—21no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—24no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—24no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—24no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—24no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—22no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—416no—
1887C2×C4—416no—
1888C2×C4—44no—
1889C2×C4—44no—
1890C2×C4—416no—
1891C2×C4—48no—
1892C2×C4—48no—
1893C2×C4—84no—
1894C2×C4—84no—
1895C2×C4—88no—
1896C2×C4—84no—
1897C2×C4—82no—
1898C2×C4—84no—
1899C2×C4—88no—
1900C2×C4—82no—
1901C2×C4—82no—
1902C2×C4—84no—
1903C2×C4—82no—
1904C2×C4—84no—
1905C2×C4#546116yes—
1906C2×C4C23×D414yes—
1907C2×C4C23×D418yes—
1908C2×C4C23×D414yes—
1909C2×C4C23×D414yes—
1910C2×C4C23×D412yes—
1911C2×C4C23×D412yes—
1912C2×C4C22×#4114yes—
1913C2×C4C22×#4112yes—
1914C2×C4C22×#4112yes—
1915C2×C4C2×H(5,𝔽2)12yes—
1916C2×C4C2×H(5,𝔽2)12yes—
1917C2×C4#58512yes—
1918C2×C4#58512yes—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—22no—
1923C22—22no—
1924C22—22no—
1925C22—24no—
1926C22—24no—
1927C22—24no—
1928C22—24no—
1929C22—24no—
1930C22—24no—
1931C22—42no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—42no—
1941C22—44no—
1942C22—42no—
1943C22—42no—
1944C22—44no—
1945C22—42no—
1946C22—42no—
1947C22—44no—
1948C22—42no—
1949C22—42no—
1950C22—44no—
1951C22—42no—
1952C22—42no—
1953C22—44no—
1954C22—42no—
1955C22—42no—
1956C22—44no—
1957C22—42no—
1958C22—44no—
1959C22—42no—
1960C22—168no—
1961C22—1616no—
1962C22C2×#54614yes—
1963C22C24×D411yescharacteristic
1964C22C23×#4111yescharacteristic
1965C22C22×H(5,𝔽2)11yescharacteristic
1966C22C2×#58511yescharacteristic
1967C22C2×#58511yescharacteristic
1968C22H(7,𝔽2)11yescharacteristic
1969C222−1+611yescharacteristic
1970C4—22no—
1971C4—24no—
1972C4—24no—
1973C4—22no—
1974C4—24no—
1975C4—24no—
1976C4—28no—
1977C4—41no—
1978C4—41no—
1979C4—41no—
1980C4—42no—
1981C4—41no—
1982C4—44no—
1983C4—42no—
1984C4—41no—
1985C4—41no—
1986C4—41no—
1987C4—44no—
1988C4—41no—
1989C4—42no—
1990C4—42no—
1991C4—42no—
1992C4—41no—
1993C4—41no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4C2×#54614yes—
1998C4C2×#54614yes—
1999C2—24no—
2000C2—44no—
2001C2—44no—
2002C2—82no—
2003C2—82no—
2004C2—84no—
2005C2C22×#54611yescharacteristic
2006C2#6283011yescharacteristic
2007C2#6287811yescharacteristic
2008C2#6299511yescharacteristic
2009C2#6300211yescharacteristic
2010C2#6300311yescharacteristic
2011C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3500C2semidirect
2. C2×#3507C2semidirect
3. #59813C2semidirect
4. #59807C2semidirect
5. #59755C2semidirect
6. #59650C2semidirect
7. #59148C2semidirect
8. #59147C2semidirect
9. #59091C2semidirect
10. #59087C2semidirect
11. #59078C2semidirect
12. #59049C2semidirect
13. #45417C2semidirect
14. #45404C2semidirect
15. #45323C2semidirect
16. #45265C2semidirect
17. #45240C2semidirect
18. #45023C2semidirect
19. #44957C2semidirect
20. #44955C2semidirect
21. #44022C2semidirect
22. #43998C2semidirect
23. #35677C2semidirect
24. #35660C2semidirect
25. #35556C2semidirect
26. #35533C2semidirect
27. #35517C2semidirect
28. #35513C2semidirect
29. #34937C2semidirect
30. #34745C2semidirect
31. C2×#2448C2semidirect
32. #34268C2semidirect
33. #34267C2semidirect
34. #34258C2semidirect
35. #34257C2semidirect
40. C2×#559C22semidirect
41. C2×#557C22semidirect
42. C2×#556C22semidirect
43. C2×#556C22semidirect
44. C2×#556C22semidirect
45. C2×#554C22semidirect
46. C2×#552C22semidirect
47. C2×#552C22semidirect
54. C2×#539C22semidirect
58. C2×#536C22semidirect
62. C2×#533C22semidirect
66. C2×#532C22semidirect
67. C2×#529C22semidirect
71. C2×#520C22semidirect
72. C2×#519C22semidirect
75. C22×C4×Q8C22semidirect
76. #2715C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2712C22semidirect
80. #2711C22semidirect
81. #2711C22semidirect
82. #2710C22semidirect
83. #2707C22semidirect
84. #2705C22semidirect
85. #2704C22semidirect
86. #2703C22semidirect
87. #2702C22semidirect
88. #2700C22semidirect
89. #2696C22semidirect
90. #2694C22semidirect
91. #2692C22semidirect
92. #2691C22semidirect
93. #2690C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2678C22semidirect
97. #2672C22semidirect
98. #2671C22semidirect
99. #2670C22semidirect
100. #2592C22semidirect
101. #2592C22semidirect
102. #2560C22semidirect
103. #2559C22semidirect
104. #2558C22semidirect
105. #2557C22semidirect
106. #2556C22semidirect
107. #2555C22semidirect
108. #2554C22semidirect
109. #2548C22semidirect
110. #2548C22semidirect
111. #2548C22semidirect
112. #2548C22semidirect
113. #2548C22semidirect
114. #2548C22semidirect
115. #2547C22semidirect
116. #2546C22semidirect
117. #2545C22semidirect
118. #2545C22semidirect
119. #2545C22semidirect
120. #2545C22semidirect
121. #2545C22semidirect
122. #2544C22semidirect
123. #2544C22semidirect
124. #2544C22semidirect
125. #2543C22semidirect
126. #2543C22semidirect
127. #2541C22semidirect
128. #2541C22semidirect
129. #2540C22semidirect
130. #2539C22semidirect
131. #2521C22semidirect
132. #2491C22semidirect
133. #2491C22semidirect
134. #2490C22semidirect
135. #2490C22semidirect
136. #2490C22semidirect
137. #2487C22semidirect
138. #2486C22semidirect
139. #2485C22semidirect
140. #2485C22semidirect
141. #2480C22semidirect
142. #2480C22semidirect
143. #2477C22semidirect
144. #2476C22semidirect
145. #2474C22semidirect
146. #2472C22semidirect
147. #2472C22semidirect
148. #2472C22semidirect
149. #2472C22semidirect
150. #2471C22semidirect
151. #2467C22semidirect
152. #2467C22semidirect
153. #2465C22semidirect
154. #2464C22semidirect
155. #2460C22semidirect
156. #2460C22semidirect
157. #2459C22semidirect
158. #2458C22semidirect
159. #2454C22semidirect
160. #2454C22semidirect
161. #2454C22semidirect
162. #2453C22semidirect
163. #2453C22semidirect
164. #2452C22semidirect
165. #2452C22semidirect
166. #2451C22semidirect
167. #2451C22semidirect
168. #2450C22semidirect
169. #2450C22semidirect
170. #2449C22semidirect
171. #2449C22semidirect
172. #2448C22semidirect
173. #2448C22semidirect
174. #2448C22semidirect
175. #2448C22semidirect
176. #2448C22semidirect
177. #2448C22semidirect
178. #2448C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2447C22semidirect
182. #2446C22semidirect
183. #2445C22semidirect
184. #2444C22semidirect
185. #2443C22semidirect
186. #2437C22semidirect
187. #2436C22semidirect
189. #2434C22semidirect
192. #2432C22semidirect
194. #2431C22semidirect
195. #2430C22semidirect
196. #2430C22semidirect
197. #2427C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2424C22semidirect
204. #2424C22semidirect
205. #2424C22semidirect
206. #2418C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2412C22semidirect
215. #2411C22semidirect
216. #2411C22semidirect
217. #2411C22semidirect
220. #2409C22semidirect
221. #2409C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2396C22semidirect
229. #2396C22semidirect
230. C2×#399C22semidirect
231. #2392C22semidirect
232. #2392C22semidirect
233. C2×#397C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2367C22semidirect
237. #2365C22semidirect
238. #2365C22semidirect
239. #2364C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2362C22semidirect
243. #2361C22semidirect
244. #2361C22semidirect
245. #2360C22semidirect
246. #2359C22semidirect
247. #2359C22semidirect
248. #2358C22semidirect
249. #2342C22semidirect
252. #2341C22semidirect
253. #2341C22semidirect
254. #2341C22semidirect
255. #2341C22semidirect
256. Q8×C22⋊C4C22semidirect
257. Q8×C22⋊C4C22semidirect
258. Q8×C22⋊C4C22semidirect
259. Q8×C22⋊C4C22semidirect
264. #2324C22semidirect
265. #2323C22semidirect
266. #2323C22semidirect
267. #2323C22semidirect
271. #2311C22semidirect
272. #2311C22semidirect
273. #2311C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
287. #2297C22semidirect
288. #2297C22semidirect
289. #2297C22semidirect
290. #2296C22semidirect
291. #2296C22semidirect
292. C2×#391C22semidirect
296. C2×#389C22semidirect
297. C2×#388C22semidirect
298. C2×#388C22semidirect
299. #2274C22semidirect
300. C2×C4×C4⋊C4C22semidirect
341. #536D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35002
C2×#35072
#598132
#598072
#597552
#596502
#591482
#591472
#590912
#590872
#590782
#590492
#454172
#454042
#453232
#452652
#452402
#450232
#449572
#449552
#440222
#439982
#356772
#356602
#355562
#355332
#355172
#355132
#349372
#347452
C2×#24482
#342682
#342672
#342582
#342572