Finite Group Databasebeta

← #7679707

Subgroups — #7679707

Order 512.

8345 conjugacy classes of subgroups.

The subgroup lattice has 2052 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3500C211yesmaximal, characteristic, complemented
2C2×#3494C211yesmaximal, characteristic, complemented
3#59812C212yesmaximal, complemented
4#59806C212yesmaximal, complemented
5#59803C214yesmaximal, complemented
6#59568C212yesmaximal, complemented
7#59409C212yesmaximal, complemented
8#59311C214yesmaximal, complemented
9#45385C212yesmaximal, complemented
10#45353C212yesmaximal, complemented
11#45136C212yesmaximal, complemented
12#45010C212yesmaximal, complemented
13#43525C214yesmaximal, complemented
14#43096C214yesmaximal, complemented
15#39418C212yesmaximal, complemented
16#39416C212yesmaximal, complemented
17#37750C212yesmaximal, complemented
18#37748C212yesmaximal, complemented
19#37700C212yesmaximal, complemented
20#37696C212yesmaximal, complemented
21#36149C212yesmaximal, complemented
22#36111C212yesmaximal, complemented
23#35659C211yesmaximal, characteristic, complemented
24#35626C211yesmaximal, characteristic, complemented
25#35517C211yesmaximal, characteristic, complemented
26#35512C211yesmaximal, characteristic, complemented
27#35312C211yesmaximal, characteristic, complemented
28#35306C211yesmaximal, characteristic, complemented
29#35257C211yesmaximal, characteristic, complemented
30#34743C211yesmaximal, characteristic, complemented
31C2×#2427C211yesmaximal, characteristic, complemented
32#34259C211yesmaximal, characteristic, complemented
33#34256C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C22×H(5,𝔽2)C2211yescharacteristic
38#3500—216no—
39#3494—216no—
40C2×#555C2212yescomplemented
41C2×#553C2212yescomplemented
42C2×#553C2212yescomplemented
43C2×#551C2214yescomplemented
44C2×#548C2212yescomplemented
45C2×#548C2212yescomplemented
46C2×#547C2212yescomplemented
47C2×#546C2214yes—
48C2×#546C2214yes—
49C2×#546C2212yescomplemented
50C2×#546C2214yescomplemented
51C2×#546C2212yescomplemented
52C2×#544C2211yescharacteristic, complemented
53C2×#542C2212yescomplemented
54C2×#540C2212yescomplemented
55C2×#536C2211yescharacteristic
56C2×#536C2212yescomplemented
57C2×#535C2211yescharacteristic
58C2×#535C2212yescomplemented
59C2×#532C2211yescharacteristic
60C2×#532C2212yescomplemented
61C2×#532C2212yescomplemented
62C2×#529C2212yescomplemented
63C22×#124C2211yescharacteristic
64C22×#124C2212yescomplemented
65C2×#525C2211yescharacteristic
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic, complemented
68C22×C22⋊Q8C2211yescharacteristic, complemented
69C22×#121C2211yescharacteristic
70C2×#520C2211yescharacteristic, complemented
71C2×#518C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×D4C2211yescharacteristic
75C22×#117C2211yescharacteristic, complemented
76#2862C2212yescomplemented
77#2861C2212yescomplemented
78#2857C2212yescomplemented
79#2857C2212yescomplemented
80#2851C2212yescomplemented
81#2850C2212yescomplemented
82#2715C2214yescomplemented
83#2712C2214yescomplemented
84#2710C2214yescomplemented
85#2708C2214yescomplemented
86#2708C2214yescomplemented
87#2706C2214yescomplemented
88#2701C2214yescomplemented
89#2700C2214yescomplemented
90#2700C2214yescomplemented
91#2699C2214yescomplemented
92#2698C2214yescomplemented
93#2697C2214yescomplemented
94#2695C2214yescomplemented
95#2693C2214yescomplemented
96#2689C2214yescomplemented
97#2688C2214yescomplemented
98#2688C2214yescomplemented
99#2688C2214yescomplemented
100#2687C2214yescomplemented
101#2687C2214yescomplemented
102#2686C2214yescomplemented
103#2684C2214yescomplemented
104#2678C2214yescomplemented
105#2668C2214yescomplemented
106#2642C2212yescomplemented
107#2640C2212yescomplemented
108#2629C2212yescomplemented
109#2628C2212yescomplemented
110#2621C2212yescomplemented
111#2620C2212yescomplemented
112#2557C2214yescomplemented
113#2557C2214yescomplemented
114#2553C2214yescomplemented
115#2549C2214yescomplemented
116#2543C2214yescomplemented
117#2535C2214yescomplemented
118#2534C2214yescomplemented
119#2521C2214yescomplemented
120#2492C2212yescomplemented
121#2492C2212yescomplemented
122#2489C2212yescomplemented
123#2489C2212yescomplemented
124#2488C2214yescomplemented
125#2488C2214yescomplemented
126#2488C2214yescomplemented
127#2487C2212yescomplemented
128#2486C2212yescomplemented
129#2485C2212yescomplemented
130#2485C2212yescomplemented
131#2483C2214yescomplemented
132#2483C2214yescomplemented
133#2480C2214yescomplemented
134#2480C2214yescomplemented
135#2474C2214yescomplemented
136#2472C2214yescomplemented
137#2470C2214yescomplemented
138#2459C2214yescomplemented
139#2457C2214yescomplemented
140#2454C2212yescomplemented
141#2453C2212yescomplemented
142#2452C2212yescomplemented
143#2451C2212yescomplemented
144#2450C2214yescomplemented
145#2450C2214yescomplemented
146#2449C2214yescomplemented
147#2448C2212yescomplemented
148#2447C2214yescomplemented
149#2447C2212yescomplemented
150#2447C2212yescomplemented
151#2447C2212yescomplemented
152#2447C2212yescomplemented
153#2447C2212yescomplemented
154#2447C2212yescomplemented
155#2447C2212yescomplemented
156#2447C2212yescomplemented
157#2447C2212yescomplemented
158#2446C2212yescomplemented
159#2445C2212yescomplemented
160#2444C2214yescomplemented
161#2444C2214yescomplemented
162#2444C2214yescomplemented
163#2444C2214yescomplemented
164#2443C2214yescomplemented
165#2438C2214yescomplemented
166#2437C2214yescomplemented
167#2430C2214yescomplemented
168#2429C2211yescharacteristic, complemented
169#2429C2211yescharacteristic, complemented
170#2428C2211yescharacteristic, complemented
171#2428C2211yescharacteristic, complemented
172#2427C2212yescomplemented
173#2427C2212yescomplemented
174#2427C2212yescomplemented
175#2427C2211yescharacteristic, complemented
176#2427C2214yescomplemented
177#2427C2212yescomplemented
178#2427C2211yescharacteristic, complemented
179#2427C2212yescomplemented
180#2427C2212yescomplemented
181#2427C2212yescomplemented
182#2427C2212yescomplemented
183#2426C2211yescharacteristic, complemented
184#2426C2211yescharacteristic, complemented
185#2425C2212yescomplemented
186#2425C2214yescomplemented
187#2425C2212yescomplemented
188#2424C2212yescomplemented
189#2424C2212yescomplemented
190#2424C2214yescomplemented
191#2420C2214yescomplemented
192#2420C2214yescomplemented
193#2419C2214yescomplemented
194#2419C2214yescomplemented
195#2418C2214yescomplemented
196#2418C2214yescomplemented
197#2417C2212yescomplemented
198#2417C2212yescomplemented
199#2415C2212yescomplemented
200#2415C2212yescomplemented
201#2413C2214yescomplemented
202#2412C2214yescomplemented
203#2412C2214yescomplemented
204#2409C2212yescomplemented
205#2409C2212yescomplemented
206#2409C2212yescomplemented
207#2409C2212yescomplemented
208#2408C2212yes—
209#2408C2212yes—
210#2408C2212yes—
211#2408C2212yes—
212#2407C2212yes—
213#2407C2212yes—
214#2407C2212yes—
215#2407C2212yes—
216#2407C2214yescomplemented
217#2407C2212yescomplemented
218#2407C2212yescomplemented
219#2407C2212yescomplemented
220#2407C2212yescomplemented
221#2406C2214yescomplemented
222#2405C2214yes—
223#2404C2214yescomplemented
224#2404C2214yescomplemented
225#2403C2214yes—
226#2392C2212yescomplemented
227#2392C2212yescomplemented
228C2×#397C2212yescomplemented
229C2×#394C2212yescomplemented
230#2363C2211yescharacteristic, complemented
231#2363C2211yescharacteristic, complemented
232#2362C2211yescharacteristic, complemented
233#2362C2211yescharacteristic, complemented
234#2361C2211yescharacteristic, complemented
235#2361C2211yescharacteristic, complemented
236#2360C2211yescharacteristic, complemented
237#2360C2211yescharacteristic, complemented
238#2359C2212yescomplemented
239#2359C2212yescomplemented
240#2358C2214yescomplemented
241#2358C2212yescomplemented
242#2358C2212yescomplemented
243#2349C2214yescomplemented
244#2342C2214yescomplemented
245Q8×C22⋊C4C2212yescomplemented
246Q8×C22⋊C4C2212yescomplemented
247#2339C2214yescomplemented
248#2339C2214yescomplemented
249#2339C2212yescomplemented
250#2339C2212yescomplemented
251#2339C2212yescomplemented
252#2339C2212yescomplemented
253#2339C2212yescomplemented
254#2339C2212yescomplemented
255#2339C2214yescomplemented
256D4×C22⋊C4C2212yescomplemented
257D4×C22⋊C4C2212yescomplemented
258D4×C22⋊C4C2212yescomplemented
259D4×C22⋊C4C2212yescomplemented
260#2328C2212yescomplemented
261#2326C2212yescomplemented
262#2324C2212yescomplemented
263#2324C2212yescomplemented
264#2321C2214yescomplemented
265#2317C2211yescharacteristic, complemented
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic, complemented
271#2311C2212yescomplemented
272#2310C2211yescharacteristic, complemented
273#2310C2211yescharacteristic, complemented
274#2310C2212yescomplemented
275#2309C2211yescharacteristic
276#2308C2214yes—
277C4×#127C2212yescomplemented
278C4×#124C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2212yescomplemented
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#120C2214yescomplemented
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2212yescomplemented
287#2296C2211yescharacteristic, complemented
288#2296C2211yescharacteristic, complemented
289C2×#391C2212yescomplemented
290C2×#391C2211yescharacteristic, complemented
291#2293C2212yescomplemented
292C2×#389C2211yescharacteristic, complemented
293#2290C2212yescomplemented
294#2290C2212yescomplemented
295C2×#386C2214yes—
296C2×#386C2212yescomplemented
297C2×#380C2212yescomplemented
298C42×D4C2212yescomplemented
299C4×#117C2211yescharacteristic, complemented
300C2×C4×C22⋊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×#41C2312yes—
309C22×#41C2312yes—
310C22×#41C2312yes—
311C22×#41C2314yes—
312C22×#41C2312yes—
313C22×#41C2311yescharacteristic
314C22×#41C2311yescharacteristic
315C22×#41C2314yes—
316C23×Q8C2311yescharacteristic
317C23×Q8C2312yes—
318C23×Q8C2312yes—
319C23×D4C2314yes—
320C23×D4C2312yes—
321C23×D4C2312yes—
322C23×D4C2311yescharacteristic
323C23×D4C2312yes—
324C24×C4C2311yescharacteristic
325C24×C4C2312yes—
326#555—216no—
327#553—216no—
328#553—216no—
329#551—232no—
330#548—216no—
331#548—216no—
332#547—216no—
333#546—216no—
334#546—216no—
335#546—232no—
336#546—232no—
337#546—232no—
338#544—28no—
339#542—216no—
340#540—216no—
341#536—216no—
342#536—28no—
343#535—216no—
344#535D4116yescomplemented
345#532—28no—
346#532—216no—
347#532—216no—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2312yes—
352C2×#127C2311yescharacteristic
353C2×#127C2312yes—
354#529—216no—
355C2×#126C2314yes—
356C2×#126C2314yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#124—28no—
360C2×#124—216no—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2311yescharacteristic
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2311yescharacteristic
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373#525—28no—
374#525—28no—
375#525—44no—
376C2×#123C2312yes—
377C2×#123C2312yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×C22⋊Q8—44no—
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×#121—28no—
406C2×#121C2311yescharacteristic
407C2×#121C2311yescharacteristic
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#120C2312yes—
430C2×#120C2312yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2312yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437#520—28no—
438#518—28no—
439C4×#41—28no—
440C4×#41—44no—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2311yescharacteristic
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×D4—44no—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2314yes—
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2312yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×#117—28no—
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2311yescharacteristic
485C2×#117C2311yescharacteristic
486C2×#117C2312yes—
487C2×#117C2314yes—
488C2×#117C2312yes—
489C2×#117C2311yescharacteristic
490C2×#117C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2311yescharacteristic
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2311yescharacteristic
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2311yescharacteristic
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2312yes—
502C22×C22⋊C4C2314yes—
503C22×C22⋊C4C2314yes—
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2314yes—
506C22×C22⋊C4C2312yes—
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2311yescharacteristic
512C22×C22⋊C4C2311yescharacteristic
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2314yes—
515C22×C42C2312yes—
516C22×C42C2312yes—
517C22×C42C2311yescharacteristic
518C22×C42C2311yescharacteristic
519C22×C42C2312yes—
520#400C2314yes—
521#400C2314yes—
522#400C2314yes—
523#400C2314yes—
524#400C2314yes—
525#400C2314yes—
526#399C2314yes—
527#399C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2312yes—
533#398C2312yes—
534#398C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2312yes—
544#397C2312yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2312yes—
561#396C2312yes—
562#396C2312yes—
563#396C2312yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#393C2314yes—
592#392C2312yes—
593#392C2312yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#391C2311yescharacteristic
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2314yes—
608#391C2314yes—
609#391C2312yes—
610#391C2312yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2311yescharacteristic
618#391C2311yescharacteristic
619#391C2311yescharacteristic
620#391C2312yes—
621#391C2312yes—
622#391C2314yes—
623#391C2314yes—
624#391C2314yes—
625#391C2314yes—
626#391C2314yes—
627#391C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2311yescharacteristic
640#390C2311yescharacteristic
641#390C2311yescharacteristic
642#390C2311yescharacteristic
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2312yes—
656#389C2312yes—
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2312yes—
742#386C2314yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2314yes—
761#385C2312yes—
762#385C2312yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2312yes—
768#385C2312yes—
769#385C2314yes—
770#384C2312yes—
771#382C2312yes—
772#382C2314yes—
773#382C2314yes—
774#381C2314yes—
775#381C2314yes—
776#381C2314yes—
777#381C2314yes—
778#381C2314yes—
779#381C2314yes—
780#381C2314yes—
781#381C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2314yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2312yes—
802#380C2314yes—
803#380C2312yes—
804#380C2314yes—
805#380C2314yes—
806#379C2314yes—
807#379C2314yes—
808#379C2314yes—
809#379C2314yes—
810#379C2314yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2312yes—
844C2×#95C2314yes—
845C2×#95C2314yes—
846C2×#95C2312yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2312yes—
850C2×#95C2311yescharacteristic
851C2×#95C2311yescharacteristic
852C2×#95C2312yes—
853C43C2312yes—
854C25C2411yescharacteristic
855C25C2414yes—
856C25C2412yes—
8572−1+4—464no—
858H(5,𝔽2)—464no—
859C2×#41—28no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—216no—
863C2×#41—28no—
864C2×#41—216no—
865C2×#41—28no—
866C2×#41—216no—
867C2×#41—24no—
868C2×#41—24no—
869C2×#41—28no—
870C2×#41—24no—
871C2×#41—28no—
872C2×#41—24no—
873C2×#41—28no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—48no—
878C2×#41—48no—
879C2×#41—44no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41—84no—
884C2×#41C2×D418yes—
885C2×#41#4118yescomplemented
886C22×Q8—28no—
887C22×Q8—28no—
888C22×Q8—24no—
889C22×Q8—28no—
890C22×Q8—28no—
891C22×Q8—24no—
892C22×Q8—24no—
893C22×Q8—44no—
894C22×Q8—44no—
895C22×Q8C2412yes—
896C22×Q8C2412yes—
897C22×Q8C2411yescharacteristic
898C22×Q8C2414yes—
899C22×Q8C2411yescharacteristic
900C22×Q8C2411yescharacteristic
901C22×Q8C2414yes—
902C22×D4—216no—
903C22×D4—28no—
904C22×D4—28no—
905C22×D4—28no—
906C22×D4—28no—
907C22×D4—216no—
908C22×D4—24no—
909C22×D4—28no—
910C22×D4—24no—
911C22×D4—44no—
912C22×D4—44no—
913C22×D4—48no—
914C22×D4—44no—
915C22×D4—82no—
916C22×D4C2×D418yes—
917C22×D4C2412yes—
918C22×D4C2411yescharacteristic
919C22×D4C2412yes—
920C22×D4C2412yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2414yes—
924C22×D4C2414yes—
925C22×D4C2412yes—
926C22×D4C2412yes—
927C22×D4C2412yes—
928C22×D4C2411yescharacteristic
929C22×D4C2412yes—
930C22×D4C2411yescharacteristic
931C22×D4C2412yes—
932C22×D4C2412yes—
933C22×D4C2412yes—
934C22×D4C2412yes—
935C22×D4C2412yes—
936C22×D4C2414yes—
937C22×D4C2412yes—
938C22×D4C2414yes—
939C22×D4C2414yes—
940C23×C4—24no—
941C23×C4—24no—
942C23×C4—24no—
943C23×C4—44no—
944C23×C4—44no—
945C23×C4—82no—
946C23×C4C2412yes—
947C23×C4C2411yescharacteristic
948C23×C4C2411yescharacteristic
949C23×C4C2411yescharacteristic
950C23×C4C2411yescharacteristic
951C23×C4C2412yes—
952C23×C4C2411yescharacteristic
953C23×C4C2414yes—
954C23×C4C2412yes—
955C23×C4C2411yescharacteristic
956C23×C4C2414yes—
957C23×C4C2414yes—
958C23×C4C2412yes—
959C23×C4C2412yes—
960C23×C4C2411yescharacteristic
961C23×C4C2411yescharacteristic
962C23×C4C2411yescharacteristic
963C23×C4C2412yes—
964C23×C4C2414yes—
965C23×C4C2412yes—
966C23×C4C2412yes—
967C23×C4C2414yes—
968C23×C4C2412yes—
969C23×C4C2412yes—
970C23×C4C2414yes—
971C23×C4C2414yes—
972C23×C4C2412yes—
973C23×C4C2414yes—
974C23×C4C2412yes—
975C23×C4C2411yescharacteristic
976C4⋊Q8—24no—
977C4⋊Q8—28no—
978C4⋊Q8—28no—
979C4⋊Q8—28no—
980#127—24no—
981#127C2×D4116yes—
982#126—216no—
983#126—216no—
984#125—28no—
985#125—28no—
986#124—24no—
987#124—28no—
988#124—28no—
989#124—28no—
990#124—28no—
991#124—24no—
992#124—216no—
993#124—216no—
994#124—216no—
995#124—216no—
996#124—28no—
997#124C2×D4116yes—
998#123—28no—
999#123—216no—
1000#123—216no—
1001#123—28no—
1002#123—216no—
1003#123—216no—
1004#123—216no—
1005#123—216no—
1006#123—216no—
1007#123—44no—
1008#123—84no—
1009C22⋊Q8—24no—
1010C22⋊Q8—24no—
1011C22⋊Q8—24no—
1012C22⋊Q8—24no—
1013C22⋊Q8—28no—
1014C22⋊Q8—28no—
1015C22⋊Q8—216no—
1016C22⋊Q8—216no—
1017C22⋊Q8—216no—
1018C22⋊Q8—216no—
1019C22⋊Q8—44no—
1020C22⋊Q8—44no—
1021C22⋊Q8—44no—
1022C22⋊Q8—44no—
1023C22⋊Q8—42no—
1024C22⋊Q8—42no—
1025C22⋊Q8—84no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—24no—
1031#121—24no—
1032#121—216no—
1033#121—216no—
1034#121—28no—
1035#121—28no—
1036#121—216no—
1037#121—216no—
1038#121—216no—
1039#121—216no—
1040#121—216no—
1041#121—24no—
1042#121—24no—
1043#121—44no—
1044#121—44no—
1045#121—42no—
1046#121—42no—
1047#121C2×D4116yes—
1048#121C2×D4116yes—
1049#120—28no—
1050#120—216no—
1051#120—216no—
1052#120—28no—
1053#120—44no—
1054#120—48no—
1055#120—84no—
1056#120C2×D4132yes—
1057C4×Q8—28no—
1058C4×Q8—24no—
1059C4×Q8—24no—
1060C4×Q8—42no—
1061C4×Q8—42no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—216no—
1068C4×D4—216no—
1069C4×D4—216no—
1070C4×D4—216no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—24no—
1078C4×D4—24no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—216no—
1082C4×D4—44no—
1083C4×D4—44no—
1084C4×D4—44no—
1085C4×D4—44no—
1086C4×D4—44no—
1087C4×D4—42no—
1088C4×D4—42no—
1089C4×D4—48no—
1090C4×D4—44no—
1091C4×D4—44no—
1092C4×D4—44no—
1093C4×D4—44no—
1094C4×D4—44no—
1095C4×D4—84no—
1096#117—24no—
1097#117—24no—
1098#117—28no—
1099#117—24no—
1100#117—24no—
1101#117—24no—
1102#117—24no—
1103#117—28no—
1104#117—216no—
1105#117—28no—
1106#117—28no—
1107#117—44no—
1108#117C2×D418yes—
1109C2×C4⋊C4—24no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—24no—
1112C2×C4⋊C4—24no—
1113C2×C4⋊C4—24no—
1114C2×C4⋊C4—44no—
1115C2×C4⋊C4—82no—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C22⋊C4—216no—
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—216no—
1170C2×C22⋊C4—216no—
1171C2×C22⋊C4—48no—
1172C2×C22⋊C4—42no—
1173C2×C22⋊C4—42no—
1174C2×C22⋊C4—44no—
1175C2×C22⋊C4—44no—
1176C2×C22⋊C4—84no—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2411yescharacteristic
1223C2×C22⋊C4C2411yescharacteristic
1224C2×C22⋊C4C2411yescharacteristic
1225C2×C22⋊C4C2411yescharacteristic
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C42—24no—
1252C2×C42—24no—
1253C2×C42—28no—
1254C2×C42—28no—
1255C2×C42—44no—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2414yes—
1259C2×C42C2412yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2412yes—
1262C2×C42C2411yescharacteristic
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2412yes—
1269C2×C42C2411yescharacteristic
1270C2×C42C2411yescharacteristic
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2411yescharacteristic
1292#95C2411yescharacteristic
1293#95C2411yescharacteristic
1294#95C2411yescharacteristic
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2412yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334C24—24no—
1335C24—24no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—28no—
1341C24—28no—
1342C24—41no—
1343C24—42no—
1344C24—42no—
1345C24—42no—
1346C24—41no—
1347C24—42no—
1348C24—41no—
1349C24—44no—
1350C24—44no—
1351C24—44no—
1352C24—44no—
1353C24—44no—
1354C24C22×D418yes—
1355C24C2512yes—
1356C24C2511yescharacteristic
1357C24C2514yes—
1358C24C2512yes—
1359C24C2512yes—
1360C24C2511yescharacteristic
1361C24C2511yescharacteristic
1362#41—232no—
1363#41—232no—
1364#41—432no—
1365#41—432no—
1366#41—432no—
1367#41—464no—
1368#41—432no—
1369#41—416no—
1370#41—832no—
1371C2×Q8—22no—
1372C2×Q8—28no—
1373C2×Q8—24no—
1374C2×Q8—24no—
1375C2×Q8—22no—
1376C2×Q8—28no—
1377C2×Q8—22no—
1378C2×Q8—28no—
1379C2×Q8—24no—
1380C2×Q8—24no—
1381C2×Q8—22no—
1382C2×Q8—22no—
1383C2×Q8—22no—
1384C2×Q8—24no—
1385C2×Q8—24no—
1386C2×Q8—22no—
1387C2×Q8—44no—
1388C2×Q8—44no—
1389C2×Q8—44no—
1390C2×Q8—432no—
1391C2×Q8—432no—
1392C2×Q8—416no—
1393C2×Q8C22×D414yes—
1394C2×Q8C2×#4114yes—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—28no—
1401C2×D4—28no—
1402C2×D4—28no—
1403C2×D4—24no—
1404C2×D4—28no—
1405C2×D4—24no—
1406C2×D4—28no—
1407C2×D4—24no—
1408C2×D4—28no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—28no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—28no—
1417C2×D4—24no—
1418C2×D4—24no—
1419C2×D4—232no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—24no—
1423C2×D4—24no—
1424C2×D4—22no—
1425C2×D4—28no—
1426C2×D4—22no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—432no—
1433C2×D4—44no—
1434C2×D4—42no—
1435C2×D4—44no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—42no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—42no—
1447C2×D4—44no—
1448C2×D4—42no—
1449C2×D4—42no—
1450C2×D4—42no—
1451C2×D4—42no—
1452C2×D4—42no—
1453C2×D4—44no—
1454C2×D4—42no—
1455C2×D4—42no—
1456C2×D4—42no—
1457C2×D4—42no—
1458C2×D4—432no—
1459C2×D4—464no—
1460C2×D4—816no—
1461C2×D4C22×D418yes—
1462C2×D4C22×D418yes—
1463C2×D4C22×D418yes—
1464C2×D4C22×D414yes—
1465C2×D4C22×D4116yes—
1466C2×D4C22×D4116yes—
1467C2×D4C2×#4118yes—
1468C2×D4C2×#4114yes—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—22no—
1474C22×C4—24no—
1475C22×C4—28no—
1476C22×C4—28no—
1477C22×C4—22no—
1478C22×C4—28no—
1479C22×C4—24no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—24no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—24no—
1488C22×C4—28no—
1489C22×C4—28no—
1490C22×C4—28no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—24no—
1494C22×C4—28no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—24no—
1499C22×C4—22no—
1500C22×C4—22no—
1501C22×C4—22no—
1502C22×C4—22no—
1503C22×C4—28no—
1504C22×C4—24no—
1505C22×C4—28no—
1506C22×C4—22no—
1507C22×C4—22no—
1508C22×C4—24no—
1509C22×C4—22no—
1510C22×C4—22no—
1511C22×C4—22no—
1512C22×C4—24no—
1513C22×C4—24no—
1514C22×C4—24no—
1515C22×C4—28no—
1516C22×C4—24no—
1517C22×C4—42no—
1518C22×C4—42no—
1519C22×C4—41no—
1520C22×C4—44no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—42no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—41no—
1527C22×C4—44no—
1528C22×C4—41no—
1529C22×C4—41no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—41no—
1533C22×C4—42no—
1534C22×C4—44no—
1535C22×C4—44no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—42no—
1539C22×C4—42no—
1540C22×C4—44no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—44no—
1544C22×C4—44no—
1545C22×C4—42no—
1546C22×C4—42no—
1547C22×C4—41no—
1548C22×C4—42no—
1549C22×C4—44no—
1550C22×C4—41no—
1551C22×C4—42no—
1552C22×C4—44no—
1553C22×C4—44no—
1554C22×C4—416no—
1555C22×C4—816no—
1556C22×C4C22×D418yes—
1557C22×C4C22×D414yes—
1558C22×C4C2×#4118yes—
1559C22×C4C2×#4114yes—
1560C22×C4H(5,𝔽2)14yes—
1561C22×C4C2511yescharacteristic
1562C22×C4C2511yescharacteristic
1563C22×C4C2512yes—
1564C22×C4C2512yes—
1565C22×C4C2512yes—
1566C22×C4C2514yes—
1567C22×C4C2512yes—
1568C22×C4C2511yescharacteristic
1569C22×C4C2511yescharacteristic
1570C22×C4C2512yes—
1571C22×C4C2511yescharacteristic
1572C22×C4C2512yes—
1573C22×C4C2512yes—
1574C22×C4C2512yes—
1575C22×C4C2514yes—
1576C22×C4C2514yes—
1577C22×C4C2512yes—
1578C22×C4C2511yescharacteristic
1579C22×C4C2511yescharacteristic
1580C22×C4C2511yescharacteristic
1581C22×C4C2511yescharacteristic
1582C22×C4C2512yes—
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2512yes—
1586C22×C4C2511yescharacteristic
1587C22×C4C2511yescharacteristic
1588C22×C4C2511yescharacteristic
1589C4⋊C4—22no—
1590C4⋊C4—24no—
1591C4⋊C4—22no—
1592C4⋊C4—24no—
1593C4⋊C4—24no—
1594C4⋊C4—24no—
1595C4⋊C4—28no—
1596C4⋊C4—24no—
1597C4⋊C4—22no—
1598C4⋊C4—22no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—28no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—28no—
1605C4⋊C4—28no—
1606C4⋊C4—28no—
1607C4⋊C4—28no—
1608C4⋊C4—24no—
1609C4⋊C4—22no—
1610C4⋊C4—22no—
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—22no—
1616C4⋊C4—22no—
1617C4⋊C4—44no—
1618C4⋊C4—44no—
1619C4⋊C4—44no—
1620C4⋊C4—44no—
1621C4⋊C4—42no—
1622C4⋊C4—42no—
1623C4⋊C4—42no—
1624C4⋊C4—42no—
1625C4⋊C4—44no—
1626C4⋊C4—42no—
1627C4⋊C4—42no—
1628C4⋊C4—42no—
1629C4⋊C4—42no—
1630C4⋊C4—44no—
1631C4⋊C4—42no—
1632C4⋊C4—42no—
1633C4⋊C4—42no—
1634C4⋊C4—42no—
1635C4⋊C4C22×D414yes—
1636C4⋊C4C22×D414yes—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—28no—
1640C22⋊C4—28no—
1641C22⋊C4—28no—
1642C22⋊C4—28no—
1643C22⋊C4—28no—
1644C22⋊C4—28no—
1645C22⋊C4—28no—
1646C22⋊C4—28no—
1647C22⋊C4—28no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—22no—
1657C22⋊C4—22no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—28no—
1663C22⋊C4—28no—
1664C22⋊C4—24no—
1665C22⋊C4—24no—
1666C22⋊C4—24no—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—22no—
1673C22⋊C4—22no—
1674C22⋊C4—41no—
1675C22⋊C4—41no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—41no—
1679C22⋊C4—41no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—42no—
1685C22⋊C4—42no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—42no—
1689C22⋊C4—44no—
1690C22⋊C4—42no—
1691C22⋊C4—42no—
1692C22⋊C4—42no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—42no—
1696C22⋊C4—42no—
1697C22⋊C4—42no—
1698C22⋊C4—42no—
1699C22⋊C4—42no—
1700C22⋊C4—44no—
1701C22⋊C4—44no—
1702C22⋊C4—44no—
1703C22⋊C4—44no—
1704C22⋊C4—44no—
1705C22⋊C4—44no—
1706C22⋊C4—44no—
1707C22⋊C4—42no—
1708C22⋊C4C22×D418yes—
1709C22⋊C4C22×D4116yes—
1710C22⋊C4C22×D4116yes—
1711C42—22no—
1712C42—24no—
1713C42—24no—
1714C42—24no—
1715C42—22no—
1716C42—24no—
1717C42—24no—
1718C42—22no—
1719C42—22no—
1720C42—28no—
1721C42—24no—
1722C42—24no—
1723C42—22no—
1724C42—22no—
1725C42—22no—
1726C42—22no—
1727C42—24no—
1728C42—24no—
1729C42—42no—
1730C42—42no—
1731C42—42no—
1732C42—42no—
1733C42—42no—
1734C42C22×D418yes—
1735C23—21no—
1736C23—21no—
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—22no—
1741C23—21no—
1742C23—22no—
1743C23—24no—
1744C23—21no—
1745C23—22no—
1746C23—24no—
1747C23—22no—
1748C23—22no—
1749C23—21no—
1750C23—22no—
1751C23—22no—
1752C23—24no—
1753C23—24no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—24no—
1758C23—21no—
1759C23—24no—
1760C23—22no—
1761C23—21no—
1762C23—22no—
1763C23—216no—
1764C23—21no—
1765C23—22no—
1766C23—21no—
1767C23—22no—
1768C23—21no—
1769C23—22no—
1770C23—22no—
1771C23—21no—
1772C23—22no—
1773C23—21no—
1774C23—22no—
1775C23—21no—
1776C23—22no—
1777C23—21no—
1778C23—48no—
1779C23—48no—
1780C23—44no—
1781C23—44no—
1782C23—44no—
1783C23—416no—
1784C23—44no—
1785C23—84no—
1786C23—82no—
1787C23—84no—
1788C23—82no—
1789C23—84no—
1790C23—82no—
1791C23—84no—
1792C23—88no—
1793C23—88no—
1794C23—88no—
1795C23—88no—
1796C23—164no—
1797C23—164no—
1798C23C23×D418yes—
1799C23C23×D414yes—
1800C23C23×D412yes—
1801C23C22×#4114yes—
1802C23C22×#4112yes—
1803C23C2×H(5,𝔽2)12yes—
1804C23#58512yes—
1805C23C2611yescharacteristic
1806Q8—28no—
1807Q8—28no—
1808Q8—416no—
1809Q8—48no—
1810Q8—48no—
1811Q8—44no—
1812Q8—88no—
1813D4—216no—
1814D4—216no—
1815D4—216no—
1816D4—216no—
1817D4—28no—
1818D4—28no—
1819D4—416no—
1820D4—416no—
1821D4—416no—
1822D4—48no—
1823D4—416no—
1824D4—416no—
1825D4—416no—
1826D4—48no—
1827D4—48no—
1828D4—44no—
1829D4—84no—
1830D4—84no—
1831D4—84no—
1832D4—84no—
1833D4—84no—
1834D4—88no—
1835D4—84no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—21no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—216no—
1847C2×C4—216no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—24no—
1858C2×C4—21no—
1859C2×C4—24no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—24no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—24no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—24no—
1877C2×C4—22no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—22no—
1888C2×C4—24no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—24no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—21no—
1897C2×C4—24no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—24no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—21no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—44no—
1912C2×C4—416no—
1913C2×C4—416no—
1914C2×C4—416no—
1915C2×C4—48no—
1916C2×C4—48no—
1917C2×C4—44no—
1918C2×C4—48no—
1919C2×C4—44no—
1920C2×C4—44no—
1921C2×C4—44no—
1922C2×C4—44no—
1923C2×C4—48no—
1924C2×C4—84no—
1925C2×C4—84no—
1926C2×C4—84no—
1927C2×C4—84no—
1928C2×C4—88no—
1929C2×C4—82no—
1930C2×C4—88no—
1931C2×C4—82no—
1932C2×C4—82no—
1933C2×C4—84no—
1934C2×C4—88no—
1935C2×C4—88no—
1936C2×C4—84no—
1937C2×C4—88no—
1938C2×C4#546116yes—
1939C2×C4C23×D414yes—
1940C2×C4C23×D414yes—
1941C2×C4C23×D414yes—
1942C2×C4C23×D412yes—
1943C2×C4C23×D412yes—
1944C2×C4C22×#4114yes—
1945C2×C4C22×#4112yes—
1946C2×C4C22×#4112yes—
1947C2×C4C2×H(5,𝔽2)12yes—
1948C2×C4C2×H(5,𝔽2)12yes—
1949C2×C4#58512yes—
1950C22—22no—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—24no—
1958C22—28no—
1959C22—28no—
1960C22—24no—
1961C22—22no—
1962C22—24no—
1963C22—24no—
1964C22—24no—
1965C22—24no—
1966C22—28no—
1967C22—22no—
1968C22—42no—
1969C22—41no—
1970C22—42no—
1971C22—42no—
1972C22—44no—
1973C22—42no—
1974C22—41no—
1975C22—44no—
1976C22—44no—
1977C22—42no—
1978C22—41no—
1979C22—42no—
1980C22—41no—
1981C22—42no—
1982C22—44no—
1983C22—42no—
1984C22—41no—
1985C22—42no—
1986C22—41no—
1987C22—42no—
1988C22—41no—
1989C22—42no—
1990C22—41no—
1991C22—42no—
1992C22—41no—
1993C22—42no—
1994C22—41no—
1995C22—42no—
1996C22—42no—
1997C22—41no—
1998C22—816no—
1999C22—88no—
2000C22—1616no—
2001C22C2×#54614yes—
2002C22C24×D411yescharacteristic
2003C22C23×#4111yescharacteristic
2004C22C22×H(5,𝔽2)11yescharacteristic
2005C22C2×#58511yescharacteristic
2006C22C2×#58511yescharacteristic
2007C22H(7,𝔽2)11yescharacteristic
2008C222−1+611yescharacteristic
2009C4—24no—
2010C4—24no—
2011C4—22no—
2012C4—24no—
2013C4—24no—
2014C4—42no—
2015C4—41no—
2016C4—44no—
2017C4—42no—
2018C4—41no—
2019C4—41no—
2020C4—42no—
2021C4—42no—
2022C4—41no—
2023C4—42no—
2024C4—42no—
2025C4—44no—
2026C4—41no—
2027C4—42no—
2028C4—41no—
2029C4—41no—
2030C4—42no—
2031C4—44no—
2032C4—41no—
2033C4—41no—
2034C4—42no—
2035C4C2×#54614yes—
2036C4C2×#54614yes—
2037C2—24no—
2038C2—44no—
2039C2—42no—
2040C2—48no—
2041C2—44no—
2042C2—81no—
2043C2—82no—
2044C2C22×#54611yescharacteristic
2045C2#6281011yescharacteristic
2046C2#6285711yescharacteristic
2047C2#6292411yescharacteristic
2048C2#6295411yescharacteristic
2049C2#6298711yescharacteristic
2050C2#6298811yescharacteristic
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×#3494C2semidirect
3. #59812C2semidirect
4. #59806C2semidirect
5. #59803C2semidirect
6. #59568C2semidirect
7. #59409C2semidirect
8. #59311C2semidirect
9. #45385C2semidirect
10. #45353C2semidirect
11. #45136C2semidirect
12. #45010C2semidirect
13. #43525C2semidirect
14. #43096C2semidirect
15. #39418C2semidirect
16. #39416C2semidirect
17. #37750C2semidirect
18. #37748C2semidirect
19. #37700C2semidirect
20. #37696C2semidirect
21. #36149C2semidirect
22. #36111C2semidirect
23. #35659C2semidirect
24. #35626C2semidirect
25. #35517C2semidirect
26. #35512C2semidirect
27. #35312C2semidirect
28. #35306C2semidirect
29. #35257C2semidirect
30. #34743C2semidirect
31. C2×#2427C2semidirect
32. #34259C2semidirect
33. #34256C2semidirect
34. #34136C2semidirect
35. C4×#535C2semidirect
40. C2×#555C22semidirect
41. C2×#553C22semidirect
42. C2×#553C22semidirect
43. C2×#551C22semidirect
44. C2×#548C22semidirect
45. C2×#548C22semidirect
46. C2×#547C22semidirect
49. C2×#546C22semidirect
50. C2×#546C22semidirect
51. C2×#546C22semidirect
52. C2×#544C22semidirect
53. C2×#542C22semidirect
54. C2×#540C22semidirect
56. C2×#536C22semidirect
58. C2×#535C22semidirect
60. C2×#532C22semidirect
61. C2×#532C22semidirect
62. C2×#529C22semidirect
64. C22×#124C22semidirect
67. C2×#525C22semidirect
68. C22×C22⋊Q8C22semidirect
70. C2×#520C22semidirect
73. C2×C4×#41C22semidirect
75. C22×#117C22semidirect
76. #2862C22semidirect
77. #2861C22semidirect
78. #2857C22semidirect
79. #2857C22semidirect
80. #2851C22semidirect
81. #2850C22semidirect
82. #2715C22semidirect
83. #2712C22semidirect
84. #2710C22semidirect
85. #2708C22semidirect
86. #2708C22semidirect
87. #2706C22semidirect
88. #2701C22semidirect
89. #2700C22semidirect
90. #2700C22semidirect
91. #2699C22semidirect
92. #2698C22semidirect
93. #2697C22semidirect
94. #2695C22semidirect
95. #2693C22semidirect
96. #2689C22semidirect
97. #2688C22semidirect
98. #2688C22semidirect
99. #2688C22semidirect
100. #2687C22semidirect
101. #2687C22semidirect
102. #2686C22semidirect
103. #2684C22semidirect
104. #2678C22semidirect
105. #2668C22semidirect
106. #2642C22semidirect
107. #2640C22semidirect
108. #2629C22semidirect
109. #2628C22semidirect
110. #2621C22semidirect
111. #2620C22semidirect
112. #2557C22semidirect
113. #2557C22semidirect
114. #2553C22semidirect
115. #2549C22semidirect
116. #2543C22semidirect
117. #2535C22semidirect
118. #2534C22semidirect
119. #2521C22semidirect
120. #2492C22semidirect
121. #2492C22semidirect
122. #2489C22semidirect
123. #2489C22semidirect
124. #2488C22semidirect
125. #2488C22semidirect
126. #2488C22semidirect
127. #2487C22semidirect
128. #2486C22semidirect
129. #2485C22semidirect
130. #2485C22semidirect
131. #2483C22semidirect
132. #2483C22semidirect
133. #2480C22semidirect
134. #2480C22semidirect
135. #2474C22semidirect
136. #2472C22semidirect
137. #2470C22semidirect
138. #2459C22semidirect
139. #2457C22semidirect
140. #2454C22semidirect
141. #2453C22semidirect
142. #2452C22semidirect
143. #2451C22semidirect
144. #2450C22semidirect
145. #2450C22semidirect
146. #2449C22semidirect
147. #2448C22semidirect
148. #2447C22semidirect
149. #2447C22semidirect
150. #2447C22semidirect
151. #2447C22semidirect
152. #2447C22semidirect
153. #2447C22semidirect
154. #2447C22semidirect
155. #2447C22semidirect
156. #2447C22semidirect
157. #2447C22semidirect
158. #2446C22semidirect
159. #2445C22semidirect
160. #2444C22semidirect
161. #2444C22semidirect
162. #2444C22semidirect
163. #2444C22semidirect
164. #2443C22semidirect
165. #2438C22semidirect
166. #2437C22semidirect
167. #2430C22semidirect
168. #2429C22semidirect
169. #2429C22semidirect
170. #2428C22semidirect
171. #2428C22semidirect
172. #2427C22semidirect
173. #2427C22semidirect
174. #2427C22semidirect
175. #2427C22semidirect
176. #2427C22semidirect
177. #2427C22semidirect
178. #2427C22semidirect
179. #2427C22semidirect
180. #2427C22semidirect
181. #2427C22semidirect
182. #2427C22semidirect
183. #2426C22semidirect
184. #2426C22semidirect
185. #2425C22semidirect
186. #2425C22semidirect
187. #2425C22semidirect
188. #2424C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
191. #2420C22semidirect
192. #2420C22semidirect
193. #2419C22semidirect
194. #2419C22semidirect
195. #2418C22semidirect
196. #2418C22semidirect
197. #2417C22semidirect
198. #2417C22semidirect
199. #2415C22semidirect
200. #2415C22semidirect
201. #2413C22semidirect
202. #2412C22semidirect
203. #2412C22semidirect
204. #2409C22semidirect
205. #2409C22semidirect
206. #2409C22semidirect
207. #2409C22semidirect
216. #2407C22semidirect
217. #2407C22semidirect
218. #2407C22semidirect
219. #2407C22semidirect
220. #2407C22semidirect
221. #2406C22semidirect
223. #2404C22semidirect
224. #2404C22semidirect
226. #2392C22semidirect
227. #2392C22semidirect
228. C2×#397C22semidirect
229. C2×#394C22semidirect
230. #2363C22semidirect
231. #2363C22semidirect
232. #2362C22semidirect
233. #2362C22semidirect
234. #2361C22semidirect
235. #2361C22semidirect
236. #2360C22semidirect
237. #2360C22semidirect
238. #2359C22semidirect
239. #2359C22semidirect
240. #2358C22semidirect
241. #2358C22semidirect
242. #2358C22semidirect
243. #2349C22semidirect
244. #2342C22semidirect
245. Q8×C22⋊C4C22semidirect
246. Q8×C22⋊C4C22semidirect
247. #2339C22semidirect
248. #2339C22semidirect
249. #2339C22semidirect
250. #2339C22semidirect
251. #2339C22semidirect
252. #2339C22semidirect
253. #2339C22semidirect
254. #2339C22semidirect
255. #2339C22semidirect
256. D4×C22⋊C4C22semidirect
257. D4×C22⋊C4C22semidirect
258. D4×C22⋊C4C22semidirect
259. D4×C22⋊C4C22semidirect
260. #2328C22semidirect
261. #2326C22semidirect
262. #2324C22semidirect
263. #2324C22semidirect
264. #2321C22semidirect
265. #2317C22semidirect
270. #2311C22semidirect
271. #2311C22semidirect
272. #2310C22semidirect
273. #2310C22semidirect
274. #2310C22semidirect
277. C4×#127C22semidirect
278. C4×#124C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#120C22semidirect
286. #2297C22semidirect
287. #2296C22semidirect
288. #2296C22semidirect
289. C2×#391C22semidirect
290. C2×#391C22semidirect
291. #2293C22semidirect
292. C2×#389C22semidirect
293. #2290C22semidirect
294. #2290C22semidirect
296. C2×#386C22semidirect
297. C2×#380C22semidirect
298. C42×D4C22semidirect
299. C4×#117C22semidirect
300. C2×C4×C22⋊C4C22semidirect
344. #535D4semidirect
885. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35002
C2×#34942
#598122
#598062
#598032
#595682
#594092
#593112
#453852
#453532
#451362
#450102
#435252
#430962
#394182
#394162
#377502
#377482
#377002
#376962
#361492
#361112
#356592
#356262
#355172
#355122
#353122
#353062
#352572
#347432
C2×#24272
#342592
#342562
#341362
C4×#5352