Finite Group Databasebeta

← #7648465

Subgroups — #7648465

Order 512.

7661 conjugacy classes of subgroups.

The subgroup lattice has 2117 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42971C212yesmaximal, complemented
4#42970C212yesmaximal, complemented
5#42952C212yesmaximal, complemented
6#42928C212yesmaximal, complemented
7#41984C214yesmaximal, complemented
8#41983C214yesmaximal, complemented
9#39742C212yesmaximal, complemented
10#39359C212yesmaximal, complemented
11#39165C212yesmaximal, complemented
12#38950C212yesmaximal, complemented
13#38077C214yesmaximal, complemented
14#37673C214yesmaximal, complemented
15#37620C212yesmaximal, complemented
16#37554C212yesmaximal, complemented
17#37280C212yesmaximal, complemented
18#37277C212yesmaximal, complemented
19#37276C212yesmaximal, complemented
20#37276C212yesmaximal, complemented
21#35519C211yesmaximal, characteristic, complemented
22#35518C211yesmaximal, characteristic, complemented
23#35515C211yesmaximal, characteristic, complemented
24#35514C211yesmaximal, characteristic, complemented
25#35273C212yesmaximal, complemented
26#35257C211yesmaximal, characteristic, complemented
27#35256C211yesmaximal, characteristic, complemented
28#35253C211yesmaximal, characteristic, complemented
29#35252C211yesmaximal, characteristic, complemented
30#35252C211yesmaximal, characteristic, complemented
31#35223C211yesmaximal, characteristic, complemented
32#35130C212yesmaximal, complemented
33#34737C211yesmaximal, characteristic, complemented
34C2×#2416C211yesmaximal, characteristic, complemented
35C2×#2317C211yesmaximal, characteristic, complemented
36#3494—216no—
37#3475—216no—
38C2×#556C2211yescharacteristic, complemented
39C2×#555C2212yescomplemented
40C2×#555C2211yescharacteristic, complemented
41C2×#554C2211yescharacteristic, complemented
42C2×#553C2211yescharacteristic, complemented
43C2×#553C2212yescomplemented
44C2×#553C2212yescomplemented
45C2×#553C2211yescharacteristic, complemented
46C2×#552C2212yes—
47C2×#552C2211yescharacteristic, complemented
48C2×#552C2211yescharacteristic, complemented
49C2×#551C2214yes—
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×#547C2212yescomplemented
53C2×#547C2211yescharacteristic, complemented
54C2×#546C2212yes—
55C2×#546C2214yes—
56C2×#544C2211yescharacteristic
57C2×#542C2212yescomplemented
58C2×#540C2212yescomplemented
59C2×#537C2211yescharacteristic
60C2×#537C2214yescomplemented
61C2×#535C2211yescharacteristic
62C2×#535C2211yescharacteristic
63C2×#533C2211yescharacteristic
64C2×#532C2212yescomplemented
65C2×#529C2212yescomplemented
66C2×#529C2212yescomplemented
67C2×#529C2212yescomplemented
68C2×#529C2212yescomplemented
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C2×#525C2211yescharacteristic
72C2×#525C2211yescharacteristic
73C22×#121C2211yescharacteristic
74C22×#121C2212yes—
75C22×#121C2211yescharacteristic
76C2×#520C2211yescharacteristic
77C2×#518C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic
79C2×C4×#41C2212yescomplemented
80C22×C4×D4C2211yescharacteristic
81C22×#117C2211yescharacteristic
82C22×#117C2211yescharacteristic
83C22×#117C2211yescharacteristic
84C23×C4⋊C4C2211yescharacteristic
85#2857C2212yescomplemented
86#2857C2212yescomplemented
87#2856C2212yescomplemented
88#2856C2212yescomplemented
89#2856C2212yescomplemented
90#2851C2212yescomplemented
91#2851C2212yescomplemented
92#2850C2212yescomplemented
93#2850C2212yescomplemented
94#2850C2212yescomplemented
95#2847C2214yes—
96#2823C2214yescomplemented
97#2823C2214yescomplemented
98#2820C2214yescomplemented
99#2819C2214yescomplemented
100#2727C2214yescomplemented
101#2725C2214yescomplemented
102#2715C2214yescomplemented
103#2712C2214yescomplemented
104#2707C2214yescomplemented
105#2707C2214yescomplemented
106#2705C2214yescomplemented
107#2705C2214yescomplemented
108#2705C2214yescomplemented
109#2704C2214yescomplemented
110#2702C2214yescomplemented
111#2702C2214yescomplemented
112#2695C2214yescomplemented
113#2693C2214yescomplemented
114#2691C2214yescomplemented
115#2691C2214yescomplemented
116#2683C2214yescomplemented
117#2682C2214yescomplemented
118#2682C2214yescomplemented
119#2681C2214yescomplemented
120#2681C2214yescomplemented
121#2681C2214yescomplemented
122#2676C2214yescomplemented
123#2676C2214yescomplemented
124#2676C2214yescomplemented
125#2675C2214yescomplemented
126#2675C2214yescomplemented
127#2672C2214yescomplemented
128#2672C2214yescomplemented
129#2671C2214yescomplemented
130#2671C2214yescomplemented
131#2671C2214yescomplemented
132#2656C2214yescomplemented
133#2639C2214yescomplemented
134#2637C2214yescomplemented
135#2636C2214yescomplemented
136#2636C2214yescomplemented
137#2636C2214yescomplemented
138#2629C2214yescomplemented
139#2629C2212yescomplemented
140#2629C2212yescomplemented
141#2628C2212yescomplemented
142#2628C2212yescomplemented
143#2620C2214yescomplemented
144#2620C2212yescomplemented
145#2620C2212yescomplemented
146#2620C2212yescomplemented
147#2620C2214yescomplemented
148#2620C2214yescomplemented
149#2619C2212yescomplemented
150#2619C2212yescomplemented
151#2619C2212yescomplemented
152#2618C2214yes—
153#2618C2214yescomplemented
154#2618C2214yescomplemented
155#2609C2214yescomplemented
156#2609C2214yescomplemented
157#2582C2212yescomplemented
158#2581C2212yescomplemented
159#2580C2212yescomplemented
160#2580C2212yescomplemented
161#2580C2212yescomplemented
162#2538C2214yescomplemented
163#2538C2212yescomplemented
164#2538C2212yescomplemented
165#2538C2212yescomplemented
166#2538C2212yescomplemented
167#2537C2212yescomplemented
168#2537C2212yescomplemented
169#2537C2212yescomplemented
170#2537C2214yescomplemented
171#2536C2212yescomplemented
172#2535C2212yescomplemented
173#2535C2212yescomplemented
174#2535C2212yescomplemented
175#2498C2214yescomplemented
176#2454C2212yescomplemented
177#2454C2212yescomplemented
178#2454C2212yescomplemented
179#2453C2212yescomplemented
180#2452C2212yescomplemented
181#2452C2212yescomplemented
182#2452C2212yescomplemented
183#2451C2212yescomplemented
184#2450C2214yes—
185#2450C2214yes—
186#2449C2214yes—
187#2449C2214yes—
188#2442C2212yescomplemented
189#2442C2212yescomplemented
190#2441C2212yescomplemented
191#2441C2212yescomplemented
192#2440C2212yescomplemented
193#2440C2212yescomplemented
194#2439C2212yescomplemented
195#2439C2212yescomplemented
196#2438C2214yes—
197#2437C2214yes—
198#2437C2214yes—
199#2437C2214yes—
200#2430C2214yescomplemented
201#2430C2214yescomplemented
202#2430C2214yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2427C2212yescomplemented
208#2427C2212yescomplemented
209#2426C2212yescomplemented
210#2426C2212yescomplemented
211#2425C2214yes—
212#2424C2214yes—
213#2424C2214yes—
214#2424C2214yes—
215#2417C2212yescomplemented
216#2417C2212yescomplemented
217#2417C2211yescharacteristic, complemented
218#2417C2212yescomplemented
219#2417C2212yescomplemented
220#2417C2212yescomplemented
221#2417C2211yescharacteristic, complemented
222#2417C2214yescomplemented
223#2416C2212yes—
224#2416C2212yes—
225#2416C2212yes—
226#2416C2212yes—
227#2416C2212yes—
228#2416C2212yes—
229#2416C2212yes—
230#2416C2212yes—
231#2416C2214yescomplemented
232#2416C2214yescomplemented
233#2416C2212yescomplemented
234#2416C2212yescomplemented
235#2416C2214yescomplemented
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2416C2212yescomplemented
239#2416C2211yescharacteristic, complemented
240#2416C2211yescharacteristic, complemented
241#2416C2212yescomplemented
242#2416C2212yescomplemented
243#2416C2212yescomplemented
244#2416C2212yescomplemented
245#2415C2211yescharacteristic, complemented
246#2415C2211yescharacteristic, complemented
247#2415C2212yescomplemented
248#2414C2212yescomplemented
249#2414C2212yescomplemented
250#2414C2212yescomplemented
251#2414C2211yescharacteristic, complemented
252#2414C2211yescharacteristic, complemented
253#2414C2212yescomplemented
254#2414C2212yescomplemented
255#2413C2212yes—
256#2412C2214yes—
257#2412C2212yes—
258#2411C2214yes—
259#2411C2214yes—
260#2411C2212yes—
261#2410C2212yes—
262#2410C2214yes—
263#2410C2214yes—
264#2410C2214yes—
265#2392C2212yescomplemented
266#2392C2212yescomplemented
267C2×#396C2212yes—
268C2×#394C2212yes—
269#2325C2214yescomplemented
270#2325C2214yescomplemented
271#2317C2214yes—
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2317C2211yescharacteristic
276#2317C2211yescharacteristic
277#2317C2212yescomplemented
278#2317C2212yescomplemented
279#2317C2212yescomplemented
280#2317C2212yescomplemented
281#2316C2211yescharacteristic
282#2311C2211yescharacteristic
283#2311C2211yescharacteristic
284#2311C2211yescharacteristic
285#2311C2214yescomplemented
286#2309C2211yescharacteristic
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289#2297C2211yescharacteristic
290#2296C2211yescharacteristic
291C2×#390C2211yescharacteristic
292C2×#389C2211yescharacteristic
293C2×#389C2212yescomplemented
294C2×#389C2212yescomplemented
295C2×#386C2212yes—
296C2×#385C2214yes—
297C2×#384C2212yescomplemented
298C2×#382C2212yescomplemented
299#2280C2211yescharacteristic
300C2×#380C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2314yes—
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2312yes—
309C24×C4C2311yescharacteristic
310C24×C4C2311yescharacteristic
311C24×C4C2312yes—
312#556—28no—
313#555—28no—
314#555—216no—
315#554—28no—
316#553—28no—
317#553—216no—
318#553—28no—
319#553—216no—
320#552—216no—
321#552—28no—
322#552—28no—
323#551—216no—
324#551—232no—
325#551—216no—
326#547—28no—
327#547—216no—
328#546—216no—
329#546—232no—
330#544—28no—
331#542—216no—
332#540—216no—
333#537—44no—
334#537—416no—
335#535—28no—
336#535—44no—
337#533—28no—
338#532—216no—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×#127C2312yes—
344C2×#127C2312yes—
345#529—216no—
346#529—216no—
347#529—216no—
348#529—216no—
349C2×#126C2312yes—
350C2×#126C2312yes—
351C2×#126C2314yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#124C2312yes—
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371#525—28no—
372#525—28no—
373#525—28no—
374#525—44no—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×#121—28no—
412C2×#121—44no—
413C2×#121—48no—
414C2×#121C2314yes—
415C2×#121C2312yes—
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2311yescharacteristic
440C2×#121C2314yes—
441C2×#121C2312yes—
442C2×#121C2314yes—
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2311yescharacteristic
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2314yes—
451C2×#121C2312yes—
452C2×#121C2314yes—
453C2×#121C2314yes—
454C2×#121C2312yes—
455C2×#121C2314yes—
456C2×#121C2314yes—
457C2×#121C2314yes—
458C2×#121C2314yes—
459C2×#121C2314yes—
460C2×#120C2312yes—
461C2×#120C2312yes—
462C2×#120C2312yes—
463C2×#120C2314yes—
464C2×#120C2312yes—
465C2×#120C2314yes—
466#520—28no—
467#518—28no—
468C4×#41—28no—
469C4×#41—216no—
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×D4—28no—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2314yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×#117—28no—
509C2×#117—44no—
510C2×#117D4116yescomplemented
511C2×#117C2311yescharacteristic
512C2×#117C2311yescharacteristic
513C2×#117C2311yescharacteristic
514C2×#117C2312yes—
515C2×#117C2311yescharacteristic
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2314yes—
519C2×#117C2312yes—
520C2×#117C2312yes—
521C2×#117C2312yes—
522C2×#117C2311yescharacteristic
523C2×#117C2311yescharacteristic
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2311yescharacteristic
528C2×#117C2311yescharacteristic
529C2×#117C2311yescharacteristic
530C2×#117C2311yescharacteristic
531C2×#117C2312yes—
532C2×#117C2312yes—
533C2×#117C2311yescharacteristic
534C2×#117C2311yescharacteristic
535C22×C4⋊C4—44no—
536C22×C4⋊C4C2311yescharacteristic
537C22×C4⋊C4C2311yescharacteristic
538C22×C4⋊C4C2311yescharacteristic
539C22×C4⋊C4C2311yescharacteristic
540C22×C4⋊C4C2311yescharacteristic
541C22×C4⋊C4C2311yescharacteristic
542C22×C4⋊C4C2312yes—
543C22×C4⋊C4C2314yes—
544C22×C4⋊C4C2312yes—
545C22×C4⋊C4C2312yes—
546C22×C4⋊C4C2312yes—
547C22×C4⋊C4C2312yes—
548C22×C4⋊C4C2312yes—
549C22×C4⋊C4C2312yes—
550C22×C4⋊C4C2311yescharacteristic
551C22×C4⋊C4C2311yescharacteristic
552C22×C4⋊C4C2314yes—
553C22×C4⋊C4C2311yescharacteristic
554C22×C4⋊C4C2311yescharacteristic
555C22×C22⋊C4C2311yescharacteristic
556C22×C22⋊C4C2312yes—
557C22×C22⋊C4C2312yes—
558C22×C22⋊C4C2311yescharacteristic
559C22×C22⋊C4C2314yes—
560C22×C22⋊C4C2312yes—
561C22×C22⋊C4C2312yes—
562C22×C22⋊C4C2312yes—
563C22×C22⋊C4C2312yes—
564C22×C22⋊C4C2312yes—
565C22×C22⋊C4C2312yes—
566C22×C42C2312yes—
567C22×C42C2312yes—
568C22×C42C2311yescharacteristic
569C22×C42C2312yes—
570C22×C42C2312yes—
571#400C2314yes—
572#400C2314yes—
573#400C2314yes—
574#399C2314yes—
575#399C2314yes—
576#399C2314yes—
577#399C2314yes—
578#399C2314yes—
579#398C2312yes—
580#398C2314yes—
581#398C2314yes—
582#398C2314yes—
583#398C2314yes—
584#398C2314yes—
585#398C2312yes—
586#398C2314yes—
587#398C2314yes—
588#398C2314yes—
589#398C2314yes—
590#397C2314yes—
591#397C2314yes—
592#397C2314yes—
593#397C2312yes—
594#397C2312yes—
595#396C2312yes—
596#396C2314yes—
597#396C2314yes—
598#396C2314yes—
599#396C2312yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2312yes—
611#396C2314yes—
612#396C2314yes—
613#396C2314yes—
614#396C2314yes—
615#396C2314yes—
616#396C2314yes—
617#396C2314yes—
618#396C2312yes—
619#396C2314yes—
620#396C2314yes—
621#396C2314yes—
622#396C2314yes—
623#396C2314yes—
624#396C2314yes—
625#395C2314yes—
626#395C2314yes—
627#395C2314yes—
628#394C2312yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2312yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#393C2314yes—
660#393C2314yes—
661#393C2314yes—
662#393C2314yes—
663#393C2314yes—
664#392C2314yes—
665#392C2314yes—
666#392C2314yes—
667#392C2314yes—
668#392C2314yes—
669#392C2314yes—
670#392C2314yes—
671#392C2314yes—
672#392C2314yes—
673#392C2312yes—
674#392C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2314yes—
679#391C2314yes—
680#391C2311yescharacteristic
681#391C2311yescharacteristic
682#391C2314yes—
683#390C2312yes—
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2314yes—
691#390C2314yes—
692#390C2311yescharacteristic
693#390C2312yes—
694#390C2312yes—
695#390C2311yescharacteristic
696#390C2314yes—
697#390C2314yes—
698#390C2314yes—
699#390C2314yes—
700#390C2314yes—
701#390C2312yes—
702#390C2312yes—
703#390C2312yes—
704#390C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2312yes—
712#389C2312yes—
713#389C2314yes—
714#389C2314yes—
715#389C2312yes—
716#389C2312yes—
717#389C2314yes—
718#389C2314yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2311yescharacteristic
724#389C2311yescharacteristic
725#389C2312yes—
726#389C2312yes—
727#389C2314yes—
728#389C2311yescharacteristic
729#389C2314yes—
730#389C2314yes—
731#389C2311yescharacteristic
732#389C2314yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2312yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2312yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2312yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2312yes—
780#386C2312yes—
781#386C2312yes—
782#386C2314yes—
783#386C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#385C2314yes—
798#385C2314yes—
799#385C2314yes—
800#385C2314yes—
801#385C2314yes—
802#385C2314yes—
803#385C2312yes—
804#385C2312yes—
805#384C2314yes—
806#384C2312yes—
807#384C2312yes—
808#384C2312yes—
809#384C2314yes—
810#384C2312yes—
811#384C2312yes—
812#382C2314yes—
813#382C2312yes—
814#382C2312yes—
815#382C2312yes—
816#382C2312yes—
817#382C2314yes—
818#382C2312yes—
819#381C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2312yes—
826#380C2314yes—
827#380C2314yes—
828#380C2314yes—
829#380C2314yes—
830#380C2314yes—
831#380C2312yes—
832#380C2314yes—
833#380C2314yes—
834#380C2311yescharacteristic
835#380C2312yes—
836#380C2311yescharacteristic
837#380C2314yes—
838#380C2314yes—
839#380C2312yes—
840#380C2311yescharacteristic
841#380C2312yes—
842#380C2311yescharacteristic
843#380C2314yes—
844#380C2314yes—
845#380C2312yes—
846#380C2312yes—
847#379C2314yes—
848#379C2312yes—
849C4×C4⋊C4C2312yes—
850C4×C4⋊C4C2312yes—
851C4×C22⋊C4C2312yes—
852C4×C22⋊C4C2312yes—
853C4×C22⋊C4C2312yes—
854C4×C22⋊C4C2312yes—
855C2×#95C2314yes—
856C2×#95C2312yes—
857C2×#95C2312yes—
858C2×#95C2314yes—
859C25C2411yescharacteristic
860C25C2411yescharacteristic
861C25C2412yes—
862C2×#41—28no—
863C2×#41—24no—
864C2×#41—28no—
865C2×#41—24no—
866C2×#41—216no—
867C2×#41—24no—
868C2×#41—24no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—44no—
872C2×#41—48no—
873C2×#41—48no—
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2412yes—
878C22×Q8C2414yes—
879C22×D4—24no—
880C22×D4—28no—
881C22×D4—24no—
882C22×D4—24no—
883C22×D4—24no—
884C22×D4—24no—
885C22×D4—44no—
886C22×D4—42no—
887C22×D4—44no—
888C22×D4—44no—
889C22×D4—44no—
890C22×D4—82no—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2411yescharacteristic
898C22×D4C2411yescharacteristic
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2411yescharacteristic
903C22×D4C2411yescharacteristic
904C22×D4C2411yescharacteristic
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2414yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2412yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C23×C4—24no—
919C23×C4—24no—
920C23×C4—24no—
921C23×C4—24no—
922C23×C4—24no—
923C23×C4—44no—
924C23×C4—44no—
925C23×C4—82no—
926C23×C4C2×D418yes—
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2412yes—
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2411yescharacteristic
938C23×C4C2412yes—
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2412yes—
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2414yes—
951C23×C4C2414yes—
952C23×C4C2414yes—
953C23×C4C2414yes—
954C23×C4C2412yes—
955C23×C4C2414yes—
956C23×C4C2412yes—
957C23×C4C2411yescharacteristic
958C4⋊Q8—24no—
959C4⋊Q8—24no—
960C4⋊Q8—28no—
961C4⋊Q8—28no—
962#127—28no—
963#127—44no—
964#126—28no—
965#126—28no—
966#126—216no—
967#126—28no—
968#126—28no—
969#126—216no—
970#126—28no—
971#126—28no—
972#125—28no—
973#125—28no—
974#125—24no—
975#125—24no—
976#125—28no—
977#125—28no—
978#125—28no—
979#124—28no—
980#124—28no—
981#124—216no—
982#124—28no—
983#124—28no—
984#124—216no—
985#124—44no—
986#123—28no—
987#123—28no—
988#123—216no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—216no—
994#123—216no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—216no—
999#123—44no—
1000C22⋊Q8—24no—
1001C22⋊Q8—24no—
1002C22⋊Q8—24no—
1003C22⋊Q8—24no—
1004C22⋊Q8—28no—
1005C22⋊Q8—24no—
1006C22⋊Q8—24no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—216no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—216no—
1013C22⋊Q8—48no—
1014C22⋊Q8—48no—
1015C22⋊Q8—48no—
1016C22⋊Q8—48no—
1017C22⋊Q8—42no—
1018C22⋊Q8—42no—
1019C22⋊Q8—44no—
1020C22⋊Q8—44no—
1021C22⋊Q8—84no—
1022#121—216no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—24no—
1029#121—24no—
1030#121—24no—
1031#121—24no—
1032#121—28no—
1033#121—216no—
1034#121—24no—
1035#121—24no—
1036#121—28no—
1037#121—28no—
1038#121—28no—
1039#121—28no—
1040#121—216no—
1041#121—216no—
1042#121—48no—
1043#121—48no—
1044#121—48no—
1045#121—48no—
1046#121—48no—
1047#121—44no—
1048#121—44no—
1049#121—44no—
1050#121—44no—
1051#121—42no—
1052#121—42no—
1053#121—44no—
1054#121—44no—
1055#121—44no—
1056#121—44no—
1057#121—48no—
1058#121—44no—
1059#121—48no—
1060#121—48no—
1061#121—48no—
1062#121—48no—
1063#121—48no—
1064#121—84no—
1065#121—84no—
1066#121—84no—
1067#121—84no—
1068#120—28no—
1069#120—28no—
1070#120—28no—
1071#120—216no—
1072#120—44no—
1073#120—48no—
1074C4×Q8—24no—
1075C4×Q8—24no—
1076C4×Q8—28no—
1077C4×Q8—28no—
1078C4×Q8—28no—
1079C4×Q8—28no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—24no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—28no—
1092C4×D4—28no—
1093C4×D4—28no—
1094C4×D4—216no—
1095C4×D4—24no—
1096C4×D4—24no—
1097C4×D4—28no—
1098C4×D4—28no—
1099C4×D4—28no—
1100C4×D4—28no—
1101C4×D4—216no—
1102C4×D4—28no—
1103C4×D4—28no—
1104C4×D4—28no—
1105C4×D4—28no—
1106C4×D4—28no—
1107C4×D4—28no—
1108C4×D4—216no—
1109C4×D4—44no—
1110C4×D4—44no—
1111#117—24no—
1112#117—28no—
1113#117—24no—
1114#117—24no—
1115#117—24no—
1116#117—24no—
1117#117—24no—
1118#117—28no—
1119#117—28no—
1120#117—28no—
1121#117—28no—
1122#117—28no—
1123#117—28no—
1124#117—216no—
1125#117—44no—
1126#117—44no—
1127#117—42no—
1128#117—42no—
1129#117C2×D418yes—
1130#117C2×D418yes—
1131#117C2×D4116yes—
1132#117C2×D4116yescomplemented
1133#117C2×D418yescomplemented
1134#117C2×D418yescomplemented
1135C2×C4⋊C4—24no—
1136C2×C4⋊C4—24no—
1137C2×C4⋊C4—24no—
1138C2×C4⋊C4—24no—
1139C2×C4⋊C4—24no—
1140C2×C4⋊C4—24no—
1141C2×C4⋊C4—28no—
1142C2×C4⋊C4—44no—
1143C2×C4⋊C4—44no—
1144C2×C4⋊C4—44no—
1145C2×C4⋊C4—44no—
1146C2×C4⋊C4—42no—
1147C2×C4⋊C4—42no—
1148C2×C4⋊C4—44no—
1149C2×C4⋊C4—44no—
1150C2×C4⋊C4—48no—
1151C2×C4⋊C4—84no—
1152C2×C4⋊C4C2×D418yescomplemented
1153C2×C4⋊C4C2×D418yescomplemented
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2414yes—
1195C2×C4⋊C4C2414yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2414yes—
1199C2×C4⋊C4C2414yes—
1200C2×C4⋊C4C2414yes—
1201C2×C4⋊C4C2414yes—
1202C2×C4⋊C4C2414yes—
1203C2×C4⋊C4C2414yes—
1204C2×C4⋊C4C2414yes—
1205C2×C4⋊C4C2414yes—
1206C2×C4⋊C4C2414yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2414yes—
1210C2×C4⋊C4C2414yes—
1211C2×C4⋊C4C2414yes—
1212C2×C4⋊C4C2414yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2414yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2411yescharacteristic
1218C2×C4⋊C4C2411yescharacteristic
1219C2×C4⋊C4C2411yescharacteristic
1220C2×C4⋊C4C2411yescharacteristic
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C22⋊C4—24no—
1224C2×C22⋊C4—24no—
1225C2×C22⋊C4—28no—
1226C2×C22⋊C4—28no—
1227C2×C22⋊C4—216no—
1228C2×C22⋊C4—44no—
1229C2×C22⋊C4—44no—
1230C2×C22⋊C4—44no—
1231C2×C22⋊C4—44no—
1232C2×C22⋊C4—82no—
1233C2×C22⋊C4C2×D4116yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2411yescharacteristic
1236C2×C22⋊C4C2411yescharacteristic
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2411yescharacteristic
1246C2×C22⋊C4C2411yescharacteristic
1247C2×C22⋊C4C2411yescharacteristic
1248C2×C22⋊C4C2411yescharacteristic
1249C2×C22⋊C4C2411yescharacteristic
1250C2×C22⋊C4C2411yescharacteristic
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2412yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2412yes—
1274C2×C22⋊C4C2412yes—
1275C2×C22⋊C4C2414yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2414yes—
1279C2×C22⋊C4C2414yes—
1280C2×C22⋊C4C2414yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2412yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2414yes—
1286C2×C22⋊C4C2414yes—
1287C2×C22⋊C4C2414yes—
1288C2×C22⋊C4C2414yes—
1289C2×C22⋊C4C2414yes—
1290C2×C22⋊C4C2414yes—
1291C2×C22⋊C4C2414yes—
1292C2×C22⋊C4C2414yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2414yes—
1296C2×C22⋊C4C2414yes—
1297C2×C22⋊C4C2414yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2414yes—
1301C2×C22⋊C4C2414yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2414yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C42—24no—
1310C2×C42—28no—
1311C2×C42—28no—
1312C2×C42—44no—
1313C2×C42C2×D4116yescomplemented
1314C2×C42C2412yes—
1315C2×C42C2411yescharacteristic
1316C2×C42C2412yes—
1317C2×C42C2414yes—
1318C2×C42C2412yes—
1319C2×C42C2412yes—
1320C2×C42C2412yes—
1321C2×C42C2412yes—
1322C2×C42C2412yes—
1323C2×C42C2411yescharacteristic
1324C2×C42C2411yescharacteristic
1325C2×C42C2412yes—
1326C2×C42C2411yescharacteristic
1327C2×C42C2412yes—
1328C2×C42C2412yes—
1329C2×C42C2412yes—
1330C2×C42C2412yes—
1331C2×C42C2412yes—
1332C2×C42C2412yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343#95C2414yes—
1344#95C2414yes—
1345#95C2412yes—
1346#95C2412yes—
1347#95C2412yes—
1348#95C2412yes—
1349#95C2412yes—
1350#95C2412yes—
1351#95C2412yes—
1352#95C2412yes—
1353#95C2412yes—
1354#95C2412yes—
1355#95C2412yes—
1356#95C2412yes—
1357#95C2414yes—
1358#95C2414yes—
1359#95C2414yes—
1360#95C2414yes—
1361#95C2414yes—
1362#95C2414yes—
1363#95C2414yes—
1364#95C2414yes—
1365#95C2414yes—
1366#95C2414yes—
1367C24—22no—
1368C24—22no—
1369C24—22no—
1370C24—22no—
1371C24—22no—
1372C24—22no—
1373C24—22no—
1374C24—22no—
1375C24—24no—
1376C24—24no—
1377C24—24no—
1378C24—41no—
1379C24—41no—
1380C24—41no—
1381C24—41no—
1382C24—41no—
1383C24—42no—
1384C24—42no—
1385C24—42no—
1386C24—42no—
1387C24C22×D414yes—
1388C24C2511yescharacteristic
1389C24C2514yes—
1390C24C2512yes—
1391C24C2512yes—
1392C24C2511yescharacteristic
1393C24C2511yescharacteristic
1394C24C2511yescharacteristic
1395C24C2511yescharacteristic
1396#41—432no—
1397#41—416no—
1398#41—416no—
1399#41—832no—
1400C2×Q8—22no—
1401C2×Q8—22no—
1402C2×Q8—24no—
1403C2×Q8—24no—
1404C2×Q8—28no—
1405C2×Q8—24no—
1406C2×Q8—22no—
1407C2×Q8—22no—
1408C2×Q8—22no—
1409C2×Q8—22no—
1410C2×Q8—42no—
1411C2×Q8—44no—
1412C2×Q8—42no—
1413C2×Q8—42no—
1414C2×Q8—44no—
1415C2×D4—22no—
1416C2×D4—22no—
1417C2×D4—24no—
1418C2×D4—24no—
1419C2×D4—24no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—24no—
1424C2×D4—28no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—28no—
1428C2×D4—24no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—22no—
1436C2×D4—24no—
1437C2×D4—28no—
1438C2×D4—24no—
1439C2×D4—24no—
1440C2×D4—24no—
1441C2×D4—28no—
1442C2×D4—24no—
1443C2×D4—28no—
1444C2×D4—24no—
1445C2×D4—24no—
1446C2×D4—22no—
1447C2×D4—24no—
1448C2×D4—22no—
1449C2×D4—24no—
1450C2×D4—28no—
1451C2×D4—28no—
1452C2×D4—22no—
1453C2×D4—24no—
1454C2×D4—22no—
1455C2×D4—24no—
1456C2×D4—22no—
1457C2×D4—24no—
1458C2×D4—24no—
1459C2×D4—22no—
1460C2×D4—22no—
1461C2×D4—41no—
1462C2×D4—41no—
1463C2×D4—42no—
1464C2×D4—42no—
1465C2×D4—42no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—42no—
1472C2×D4—44no—
1473C2×D4—42no—
1474C2×D4—42no—
1475C2×D4—42no—
1476C2×D4—42no—
1477C2×D4—44no—
1478C2×D4—44no—
1479C2×D4—44no—
1480C2×D4—44no—
1481C2×D4—42no—
1482C2×D4—42no—
1483C2×D4—42no—
1484C2×D4—42no—
1485C2×D4—44no—
1486C2×D4—44no—
1487C2×D4—44no—
1488C2×D4—44no—
1489C2×D4—44no—
1490C2×D4—44no—
1491C2×D4—44no—
1492C2×D4—44no—
1493C2×D4—44no—
1494C2×D4—44no—
1495C2×D4—416no—
1496C2×D4—416no—
1497C2×D4—816no—
1498C2×D4—816no—
1499C2×D4H(5,𝔽2)14yes—
1500C22×C4—22no—
1501C22×C4—24no—
1502C22×C4—22no—
1503C22×C4—24no—
1504C22×C4—232no—
1505C22×C4—22no—
1506C22×C4—22no—
1507C22×C4—22no—
1508C22×C4—22no—
1509C22×C4—22no—
1510C22×C4—22no—
1511C22×C4—22no—
1512C22×C4—22no—
1513C22×C4—22no—
1514C22×C4—22no—
1515C22×C4—22no—
1516C22×C4—24no—
1517C22×C4—24no—
1518C22×C4—22no—
1519C22×C4—22no—
1520C22×C4—24no—
1521C22×C4—24no—
1522C22×C4—24no—
1523C22×C4—28no—
1524C22×C4—24no—
1525C22×C4—22no—
1526C22×C4—24no—
1527C22×C4—24no—
1528C22×C4—24no—
1529C22×C4—22no—
1530C22×C4—24no—
1531C22×C4—22no—
1532C22×C4—22no—
1533C22×C4—22no—
1534C22×C4—22no—
1535C22×C4—22no—
1536C22×C4—24no—
1537C22×C4—22no—
1538C22×C4—22no—
1539C22×C4—24no—
1540C22×C4—24no—
1541C22×C4—22no—
1542C22×C4—22no—
1543C22×C4—22no—
1544C22×C4—22no—
1545C22×C4—24no—
1546C22×C4—24no—
1547C22×C4—24no—
1548C22×C4—24no—
1549C22×C4—28no—
1550C22×C4—28no—
1551C22×C4—28no—
1552C22×C4—42no—
1553C22×C4—42no—
1554C22×C4—42no—
1555C22×C4—42no—
1556C22×C4—41no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—41no—
1564C22×C4—42no—
1565C22×C4—44no—
1566C22×C4—44no—
1567C22×C4—42no—
1568C22×C4—44no—
1569C22×C4—44no—
1570C22×C4—44no—
1571C22×C4—44no—
1572C22×C4—42no—
1573C22×C4—42no—
1574C22×C4—44no—
1575C22×C4—44no—
1576C22×C4—42no—
1577C22×C4—42no—
1578C22×C4—44no—
1579C22×C4—42no—
1580C22×C4—41no—
1581C22×C4—42no—
1582C22×C4—44no—
1583C22×C4—44no—
1584C22×C4—416no—
1585C22×C4—816no—
1586C22×C4C22×D414yes—
1587C22×C4C22×D418yes—
1588C22×C4C22×D414yes—
1589C22×C4C22×D414yes—
1590C22×C4C22×D414yes—
1591C22×C4C22×D414yes—
1592C22×C4C22×D418yes—
1593C22×C4C22×D414yes—
1594C22×C4H(5,𝔽2)14yes—
1595C22×C42−1+414yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2514yes—
1599C22×C4C2511yescharacteristic
1600C22×C4C2511yescharacteristic
1601C22×C4C2511yescharacteristic
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2514yes—
1608C22×C4C2511yescharacteristic
1609C22×C4C2514yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2511yescharacteristic
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2511yescharacteristic
1619C22×C4C2511yescharacteristic
1620C22×C4C2511yescharacteristic
1621C22×C4C2511yescharacteristic
1622C22×C4C2511yescharacteristic
1623C4⋊C4—24no—
1624C4⋊C4—22no—
1625C4⋊C4—22no—
1626C4⋊C4—22no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—22no—
1630C4⋊C4—22no—
1631C4⋊C4—22no—
1632C4⋊C4—24no—
1633C4⋊C4—28no—
1634C4⋊C4—24no—
1635C4⋊C4—22no—
1636C4⋊C4—22no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—28no—
1645C4⋊C4—28no—
1646C4⋊C4—28no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—22no—
1658C4⋊C4—22no—
1659C4⋊C4—22no—
1660C4⋊C4—22no—
1661C4⋊C4—28no—
1662C4⋊C4—24no—
1663C4⋊C4—44no—
1664C4⋊C4—44no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—44no—
1668C4⋊C4—44no—
1669C4⋊C4—44no—
1670C4⋊C4—44no—
1671C4⋊C4—44no—
1672C4⋊C4—44no—
1673C4⋊C4—44no—
1674C4⋊C4—44no—
1675C4⋊C4—44no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—44no—
1681C4⋊C4—44no—
1682C4⋊C4—44no—
1683C4⋊C4—44no—
1684C4⋊C4—44no—
1685C4⋊C4—42no—
1686C4⋊C4C22×D414yes—
1687C4⋊C4C22×D414yes—
1688C4⋊C4C22×D414yes—
1689C4⋊C4C22×D414yes—
1690C4⋊C4C22×D418yes—
1691C4⋊C4C22×D418yes—
1692C22⋊C4—24no—
1693C22⋊C4—22no—
1694C22⋊C4—24no—
1695C22⋊C4—22no—
1696C22⋊C4—22no—
1697C22⋊C4—22no—
1698C22⋊C4—24no—
1699C22⋊C4—24no—
1700C22⋊C4—24no—
1701C22⋊C4—24no—
1702C22⋊C4—24no—
1703C22⋊C4—24no—
1704C22⋊C4—28no—
1705C22⋊C4—24no—
1706C22⋊C4—22no—
1707C22⋊C4—24no—
1708C22⋊C4—24no—
1709C22⋊C4—28no—
1710C22⋊C4—28no—
1711C22⋊C4—28no—
1712C22⋊C4—22no—
1713C22⋊C4—22no—
1714C22⋊C4—22no—
1715C22⋊C4—28no—
1716C22⋊C4—24no—
1717C22⋊C4—28no—
1718C22⋊C4—24no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—24no—
1722C22⋊C4—28no—
1723C22⋊C4—24no—
1724C22⋊C4—28no—
1725C22⋊C4—24no—
1726C22⋊C4—24no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—28no—
1730C22⋊C4—24no—
1731C22⋊C4—42no—
1732C22⋊C4—42no—
1733C22⋊C4—44no—
1734C22⋊C4—44no—
1735C22⋊C4—44no—
1736C22⋊C4—44no—
1737C22⋊C4—44no—
1738C22⋊C4—44no—
1739C22⋊C4—44no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—44no—
1747C22⋊C4—44no—
1748C22⋊C4—44no—
1749C22⋊C4—44no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—44no—
1753C22⋊C4—44no—
1754C22⋊C4—44no—
1755C22⋊C4—44no—
1756C22⋊C4—44no—
1757C22⋊C4—44no—
1758C22⋊C4—42no—
1759C22⋊C4—44no—
1760C22⋊C4—42no—
1761C22⋊C4—44no—
1762C22⋊C4—44no—
1763C22⋊C4C22×D418yes—
1764C22⋊C4C22×D418yes—
1765C22⋊C4C22×D418yes—
1766C22⋊C4C22×D418yes—
1767C42—22no—
1768C42—24no—
1769C42—22no—
1770C42—24no—
1771C42—24no—
1772C42—24no—
1773C42—22no—
1774C42—22no—
1775C42—24no—
1776C42—28no—
1777C42—24no—
1778C42—24no—
1779C42—24no—
1780C42—42no—
1781C42—42no—
1782C42C22×D418yes—
1783C42C22×D418yes—
1784C42C22×D418yes—
1785C42C22×D418yes—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—21no—
1791C23—21no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—28no—
1807C23—28no—
1808C23—21no—
1809C23—22no—
1810C23—24no—
1811C23—22no—
1812C23—22no—
1813C23—24no—
1814C23—22no—
1815C23—22no—
1816C23—21no—
1817C23—24no—
1818C23—21no—
1819C23—22no—
1820C23—21no—
1821C23—22no—
1822C23—22no—
1823C23—24no—
1824C23—22no—
1825C23—21no—
1826C23—22no—
1827C23—24no—
1828C23—24no—
1829C23—22no—
1830C23—22no—
1831C23—21no—
1832C23—24no—
1833C23—22no—
1834C23—22no—
1835C23—21no—
1836C23—44no—
1837C23—44no—
1838C23—44no—
1839C23—44no—
1840C23—44no—
1841C23—44no—
1842C23—44no—
1843C23—44no—
1844C23—44no—
1845C23—48no—
1846C23—82no—
1847C23—82no—
1848C23—82no—
1849C23—84no—
1850C23—84no—
1851C23—84no—
1852C23—84no—
1853C23—84no—
1854C23—84no—
1855C23C23×D412yes—
1856C23C23×D412yes—
1857C23C23×D412yes—
1858C23C2×H(5,𝔽2)12yes—
1859C23C2×H(5,𝔽2)12yes—
1860C23C2×H(5,𝔽2)12yes—
1861C23C2×2−1+412yes—
1862C23#58512yes—
1863C23C2611yescharacteristic
1864Q8—48no—
1865Q8—44no—
1866Q8—44no—
1867Q8—84no—
1868Q8—88no—
1869D4—28no—
1870D4—44no—
1871D4—48no—
1872D4—44no—
1873D4—48no—
1874D4—48no—
1875D4—44no—
1876D4—416no—
1877D4—48no—
1878D4—48no—
1879D4—48no—
1880D4—48no—
1881D4—44no—
1882D4—44no—
1883D4—88no—
1884D4—84no—
1885D4—88no—
1886D4—84no—
1887D4—84no—
1888D4—84no—
1889D4—88no—
1890D4—88no—
1891D4—84no—
1892D4—88no—
1893D4—164no—
1894D4—164no—
1895D4—164no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—21no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—28no—
1911C2×C4—216no—
1912C2×C4—28no—
1913C2×C4—28no—
1914C2×C4—28no—
1915C2×C4—28no—
1916C2×C4—21no—
1917C2×C4—21no—
1918C2×C4—22no—
1919C2×C4—21no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—21no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—24no—
1927C2×C4—21no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—24no—
1933C2×C4—22no—
1934C2×C4—24no—
1935C2×C4—22no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—24no—
1944C2×C4—24no—
1945C2×C4—24no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—21no—
1953C2×C4—22no—
1954C2×C4—24no—
1955C2×C4—22no—
1956C2×C4—21no—
1957C2×C4—22no—
1958C2×C4—21no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—24no—
1963C2×C4—24no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—21no—
1968C2×C4—22no—
1969C2×C4—21no—
1970C2×C4—48no—
1971C2×C4—48no—
1972C2×C4—44no—
1973C2×C4—48no—
1974C2×C4—48no—
1975C2×C4—44no—
1976C2×C4—44no—
1977C2×C4—44no—
1978C2×C4—44no—
1979C2×C4—44no—
1980C2×C4—48no—
1981C2×C4—48no—
1982C2×C4—84no—
1983C2×C4—84no—
1984C2×C4—88no—
1985C2×C4—88no—
1986C2×C4—88no—
1987C2×C4—82no—
1988C2×C4—84no—
1989C2×C4—84no—
1990C2×C4—88no—
1991C2×C4—84no—
1992C2×C4—84no—
1993C2×C4—88no—
1994C2×C4#537116yescomplemented
1995C2×C4C23×D414yes—
1996C2×C4C23×D414yes—
1997C2×C4C23×D414yes—
1998C2×C4C23×D412yes—
1999C2×C4C23×D414yes—
2000C2×C4C23×D412yes—
2001C2×C4C23×D412yes—
2002C2×C4C23×D412yes—
2003C2×C4C2×H(5,𝔽2)12yes—
2004C2×C4C2×H(5,𝔽2)12yes—
2005C2×C4C2×H(5,𝔽2)12yes—
2006C2×C4C2×2−1+412yes—
2007C2×C4C2×2−1+412yes—
2008C22—22no—
2009C22—22no—
2010C22—22no—
2011C22—22no—
2012C22—22no—
2013C22—22no—
2014C22—22no—
2015C22—22no—
2016C22—22no—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—22no—
2022C22—22no—
2023C22—22no—
2024C22—22no—
2025C22—22no—
2026C22—416no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—41no—
2031C22—41no—
2032C22—41no—
2033C22—41no—
2034C22—41no—
2035C22—42no—
2036C22—42no—
2037C22—44no—
2038C22—41no—
2039C22—42no—
2040C22—44no—
2041C22—42no—
2042C22—41no—
2043C22—41no—
2044C22—44no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—41no—
2050C22—44no—
2051C22—41no—
2052C22—42no—
2053C22—42no—
2054C22—44no—
2055C22—41no—
2056C22—42no—
2057C22—42no—
2058C22—44no—
2059C22—42no—
2060C22—42no—
2061C22—41no—
2062C22—44no—
2063C22—88no—
2064C22—168no—
2065C22C2×#53714yes—
2066C22#348814yes—
2067C22C24×D411yescharacteristic
2068C22C22×H(5,𝔽2)11yescharacteristic
2069C22C22×H(5,𝔽2)11yescharacteristic
2070C22C22×2−1+411yescharacteristic
2071C22C2×#58511yescharacteristic
2072C22H(7,𝔽2)11yescharacteristic
2073C222−1+611yescharacteristic
2074C4—24no—
2075C4—24no—
2076C4—22no—
2077C4—24no—
2078C4—24no—
2079C4—22no—
2080C4—22no—
2081C4—41no—
2082C4—42no—
2083C4—44no—
2084C4—42no—
2085C4—41no—
2086C4—42no—
2087C4—42no—
2088C4—41no—
2089C4—44no—
2090C4—44no—
2091C4—42no—
2092C4—42no—
2093C4—41no—
2094C4—41no—
2095C4—42no—
2096C4—42no—
2097C4—42no—
2098C4—42no—
2099C4C2×#53714yes—
2100C4C2×#53714yes—
2101C2—24no—
2102C2—24no—
2103C2—42no—
2104C2—42no—
2105C2—82no—
2106C2—82no—
2107C2—81no—
2108C2—84no—
2109C2C22×#53711yescharacteristic
2110C2C2×#348811yescharacteristic
2111C2#6285311yescharacteristic
2112C2#6291211yescharacteristic
2113C2#6291511yescharacteristic
2114C2#6295411yescharacteristic
2115C2#6295811yescharacteristic
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×#3494C2semidirect
2. C2×#3475C2semidirect
3. #42971C2semidirect
4. #42970C2semidirect
5. #42952C2semidirect
6. #42928C2semidirect
7. #41984C2semidirect
8. #41983C2semidirect
9. #39742C2semidirect
10. #39359C2semidirect
11. #39165C2semidirect
12. #38950C2semidirect
13. #38077C2semidirect
14. #37673C2semidirect
15. #37620C2semidirect
16. #37554C2semidirect
17. #37280C2semidirect
18. #37277C2semidirect
19. #37276C2semidirect
20. #37276C2semidirect
21. #35519C2semidirect
22. #35518C2semidirect
23. #35515C2semidirect
24. #35514C2semidirect
25. #35273C2semidirect
26. #35257C2semidirect
27. #35256C2semidirect
28. #35253C2semidirect
29. #35252C2semidirect
30. #35252C2semidirect
31. #35223C2semidirect
32. #35130C2semidirect
33. #34737C2semidirect
34. C2×#2416C2semidirect
35. C2×#2317C2semidirect
38. C2×#556C22semidirect
39. C2×#555C22semidirect
40. C2×#555C22semidirect
41. C2×#554C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
52. C2×#547C22semidirect
53. C2×#547C22semidirect
57. C2×#542C22semidirect
58. C2×#540C22semidirect
60. C2×#537C22semidirect
64. C2×#532C22semidirect
65. C2×#529C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
68. C2×#529C22semidirect
79. C2×C4×#41C22semidirect
85. #2857C22semidirect
86. #2857C22semidirect
87. #2856C22semidirect
88. #2856C22semidirect
89. #2856C22semidirect
90. #2851C22semidirect
91. #2851C22semidirect
92. #2850C22semidirect
93. #2850C22semidirect
94. #2850C22semidirect
96. #2823C22semidirect
97. #2823C22semidirect
98. #2820C22semidirect
99. #2819C22semidirect
100. #2727C22semidirect
101. #2725C22semidirect
102. #2715C22semidirect
103. #2712C22semidirect
104. #2707C22semidirect
105. #2707C22semidirect
106. #2705C22semidirect
107. #2705C22semidirect
108. #2705C22semidirect
109. #2704C22semidirect
110. #2702C22semidirect
111. #2702C22semidirect
112. #2695C22semidirect
113. #2693C22semidirect
114. #2691C22semidirect
115. #2691C22semidirect
116. #2683C22semidirect
117. #2682C22semidirect
118. #2682C22semidirect
119. #2681C22semidirect
120. #2681C22semidirect
121. #2681C22semidirect
122. #2676C22semidirect
123. #2676C22semidirect
124. #2676C22semidirect
125. #2675C22semidirect
126. #2675C22semidirect
127. #2672C22semidirect
128. #2672C22semidirect
129. #2671C22semidirect
130. #2671C22semidirect
131. #2671C22semidirect
132. #2656C22semidirect
133. #2639C22semidirect
134. #2637C22semidirect
135. #2636C22semidirect
136. #2636C22semidirect
137. #2636C22semidirect
138. #2629C22semidirect
139. #2629C22semidirect
140. #2629C22semidirect
141. #2628C22semidirect
142. #2628C22semidirect
143. #2620C22semidirect
144. #2620C22semidirect
145. #2620C22semidirect
146. #2620C22semidirect
147. #2620C22semidirect
148. #2620C22semidirect
149. #2619C22semidirect
150. #2619C22semidirect
151. #2619C22semidirect
153. #2618C22semidirect
154. #2618C22semidirect
155. #2609C22semidirect
156. #2609C22semidirect
157. #2582C22semidirect
158. #2581C22semidirect
159. #2580C22semidirect
160. #2580C22semidirect
161. #2580C22semidirect
162. #2538C22semidirect
163. #2538C22semidirect
164. #2538C22semidirect
165. #2538C22semidirect
166. #2538C22semidirect
167. #2537C22semidirect
168. #2537C22semidirect
169. #2537C22semidirect
170. #2537C22semidirect
171. #2536C22semidirect
172. #2535C22semidirect
173. #2535C22semidirect
174. #2535C22semidirect
175. #2498C22semidirect
176. #2454C22semidirect
177. #2454C22semidirect
178. #2454C22semidirect
179. #2453C22semidirect
180. #2452C22semidirect
181. #2452C22semidirect
182. #2452C22semidirect
183. #2451C22semidirect
188. #2442C22semidirect
189. #2442C22semidirect
190. #2441C22semidirect
191. #2441C22semidirect
192. #2440C22semidirect
193. #2440C22semidirect
194. #2439C22semidirect
195. #2439C22semidirect
200. #2430C22semidirect
201. #2430C22semidirect
202. #2430C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2427C22semidirect
208. #2427C22semidirect
209. #2426C22semidirect
210. #2426C22semidirect
215. #2417C22semidirect
216. #2417C22semidirect
217. #2417C22semidirect
218. #2417C22semidirect
219. #2417C22semidirect
220. #2417C22semidirect
221. #2417C22semidirect
222. #2417C22semidirect
231. #2416C22semidirect
232. #2416C22semidirect
233. #2416C22semidirect
234. #2416C22semidirect
235. #2416C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2416C22semidirect
245. #2415C22semidirect
246. #2415C22semidirect
247. #2415C22semidirect
248. #2414C22semidirect
249. #2414C22semidirect
250. #2414C22semidirect
251. #2414C22semidirect
252. #2414C22semidirect
253. #2414C22semidirect
254. #2414C22semidirect
265. #2392C22semidirect
266. #2392C22semidirect
269. #2325C22semidirect
270. #2325C22semidirect
277. #2317C22semidirect
278. #2317C22semidirect
279. #2317C22semidirect
280. #2317C22semidirect
285. #2311C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
293. C2×#389C22semidirect
294. C2×#389C22semidirect
297. C2×#384C22semidirect
298. C2×#382C22semidirect
510. C2×#117D4semidirect
1132. #117C2×D4semidirect
1133. #117C2×D4semidirect
1134. #117C2×D4semidirect
1152. C2×C4⋊C4C2×D4semidirect
1153. C2×C4⋊C4C2×D4semidirect
1313. C2×C42C2×D4semidirect
1994. C2×C4#537semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
C2×#34752
#429712
#429702
#429522
#429282
#419842
#419832
#397422
#393592
#391652
#389502
#380772
#376732
#376202
#375542
#372802
#372772
#372762
#355192
#355182
#355152
#355142
#352732
#352572
#352562
#352532
#352522
#352232
#351302
#347372
C2×#24162
C2×#23172