Finite Group Databasebeta

← #11708284

Subgroups — #11708284

Order 768.

7428 conjugacy classes of subgroups.

The subgroup lattice has 2456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3551C211yesmaximal, characteristic, complemented
2#87135C214yesmaximal, complemented
3#87083C212yesmaximal, complemented
4D3×#560C212yesmaximal, complemented
5#86966C214yesmaximal, complemented
6#86895C212yesmaximal, complemented
7#86888C212yesmaximal, complemented
8#86866C212yesmaximal, complemented
9#86834C212yesmaximal, complemented
10#86820C212yesmaximal, complemented
11#86818C212yesmaximal, complemented
12#86732C212yesmaximal, complemented
13#86713C212yesmaximal, complemented
14#86662C212yesmaximal, complemented
15#86653C212yesmaximal, complemented
16#86491C214yesmaximal, complemented
17#86490C214yesmaximal, complemented
18#86421C214yesmaximal, complemented
19#86418C214yesmaximal, complemented
20#86382C212yesmaximal, complemented
21#86372C212yesmaximal, complemented
22#86354C211yesmaximal, characteristic, complemented
23#86345C211yesmaximal, characteristic, complemented
24#86334C211yesmaximal, characteristic, complemented
25#86330C211yesmaximal, characteristic, complemented
26#86248C211yesmaximal, characteristic, complemented
27#86242C211yesmaximal, characteristic, complemented
28#86172C212yesmaximal, complemented
29#86169C212yesmaximal, complemented
30#63041—31nomaximal, Sylow
31C2×#1009C2211yescharacteristic, complemented
32C2×#1009C2212yescomplemented
33C2×#1009C2211yescharacteristic, complemented
34C22×#239C2211yescharacteristic, complemented
35C22×D3×D4C2211yescharacteristic, complemented
36C3×#563C2212yescomplemented
37C3×#560C2212yescomplemented
38C3×#555C2212yescomplemented
39C3×#553C2212yescomplemented
40C3×#552C2212yescomplemented
41C3×#551C2212yescomplemented
42C3×#548C2212yescomplemented
43C3×#546C2212yescomplemented
44C3×#540C2214yescomplemented
45C3×#538C2214yescomplemented
46C3×#537C2212yescomplemented
47C3×#536C2211yescharacteristic, complemented
48C3×#535C2211yescharacteristic, complemented
49C3×#532C2211yescharacteristic, complemented
50C3×#529C2212yescomplemented
51#5834C2212yescomplemented
52#5832C2212yescomplemented
53#5832C2212yescomplemented
54#5830C2211yescharacteristic, complemented
55#5830C2211yescharacteristic, complemented
56#5829C2212yescomplemented
57#5828C2211yescharacteristic, complemented
58#5828C2211yescharacteristic, complemented
59#5817C2212yescomplemented
60#5816C2211yescharacteristic, complemented
61#5805C2211yescharacteristic, complemented
62D4×#67C2212yescomplemented
63#5735C2212yescomplemented
64#5733C2214yescomplemented
65#5726C2214yescomplemented
66#5725C2212yescomplemented
67#5720C2211yescharacteristic, complemented
68#5720C2211yescharacteristic, complemented
69#5720C2212yescomplemented
70#5717C2214yescomplemented
71#5717C2212yescomplemented
72D3×#127C2212yescomplemented
73#5711C2214yescomplemented
74#5711C2214yescomplemented
75#5711C2214yescomplemented
76#5709C2214yescomplemented
77#5707C2214yescomplemented
78#5706C2214yescomplemented
79#5705C2214yescomplemented
80#5705C2214yescomplemented
81#5704C2214yescomplemented
82#5704C2214yescomplemented
83#5704C2214yescomplemented
84D3×#126C2214yescomplemented
85#5697C2212yescomplemented
86#5697C2212yescomplemented
87#5695C2214yescomplemented
88#5695C2214yescomplemented
89#5694C2212yescomplemented
90#5692C2214yescomplemented
91#5692C2214yescomplemented
92#5690C2212yescomplemented
93#5684C2212yescomplemented
94#5684C2214yescomplemented
95#5683C2211yescharacteristic, complemented
96#5683C2212yescomplemented
97#5679C2212yescomplemented
98#5678C2214yescomplemented
99#5678C2214yescomplemented
100#5676C2214yescomplemented
101#5676C2212yescomplemented
102#5676C2214yescomplemented
103#5676C2214yescomplemented
104#5674C2212yescomplemented
105#5674C2214yescomplemented
106#5674C2212yescomplemented
107#5674C2212yescomplemented
108#5674C2212yescomplemented
109#5672C2211yescharacteristic, complemented
110#5671C2212yescomplemented
111#5667C2214yescomplemented
112#5666C2212yescomplemented
113#5666C2214yescomplemented
114#5664C2212yescomplemented
115#5663C2214yescomplemented
116#5661C2214yescomplemented
117#5660C2214yescomplemented
118#5657C2214yescomplemented
119#5657C2214yescomplemented
120#5657C2214yescomplemented
121#5657C2214yescomplemented
122#5654C2214yescomplemented
123#5654C2214yescomplemented
124#5654C2214yescomplemented
125#5653C2214yescomplemented
126#5653C2214yescomplemented
127#5653C2212yescomplemented
128#5653C2214yescomplemented
129#5653C2214yescomplemented
130#5653C2212yescomplemented
131D3×#123C2212yescomplemented
132D3×#123C2214yescomplemented
133D3×#123C2212yescomplemented
134#5644C2214yescomplemented
135#5643C2212yescomplemented
136#5641C2212yescomplemented
137#5640C2214yescomplemented
138#5638C2214yescomplemented
139#5637C2214yescomplemented
140#5631C2212yescomplemented
141#5631C2214yescomplemented
142#5631C2212yescomplemented
143#5631C2212yescomplemented
144#5630C2212yescomplemented
145#5630C2214yescomplemented
146#5630C2214yescomplemented
147#5630C2212yescomplemented
148#5630C2212yescomplemented
149#5630C2212yescomplemented
150#5629C2212yescomplemented
151#5629C2214yescomplemented
152#5627C2212yescomplemented
153#5624C2212yescomplemented
154#5621C2212yescomplemented
155#5621C2212yescomplemented
156#5620C2212yescomplemented
157#5620C2212yescomplemented
158#5620C2214yescomplemented
159#5620C2214yescomplemented
160#5620C2214yescomplemented
161#5620C2214yescomplemented
162#5620C2214yescomplemented
163#5619C2212yescomplemented
164#5615C2214yescomplemented
165#5614C2212yescomplemented
166#5613C2214yescomplemented
167#5612C2212yescomplemented
168#5612C2212yescomplemented
169#5612C2212yescomplemented
170#5612C2214yescomplemented
171#5610C2214yescomplemented
172#5610C2214yescomplemented
173#5609C2212yescomplemented
174#5609C2212yescomplemented
175#5609C2212yescomplemented
176#5609C2214yescomplemented
177#5609C2214yescomplemented
178#5609C2214yescomplemented
179#5609C2214yescomplemented
180#5609C2214yescomplemented
181#5609C2212yescomplemented
182#5608C2214yescomplemented
183#5607C2212yescomplemented
184#5607C2214yescomplemented
185#5607C2214yescomplemented
186#5605C2214yescomplemented
187#5605C2214yescomplemented
188#5605C2214yescomplemented
189D3×#121C2214yescomplemented
190D3×#121C2214yescomplemented
191D3×#121C2214yescomplemented
192D3×#121C2214yescomplemented
193D3×#121C2212yescomplemented
194#5599C2214yescomplemented
195#5596C2212yescomplemented
196#5595C2212yescomplemented
197#5595C2214yescomplemented
198#5592C2214yescomplemented
199#5590C2214yescomplemented
200#5590C2212yescomplemented
201#5589C2212yescomplemented
202#5589C2212yescomplemented
203#5589C2214yescomplemented
204D3×#120C2212yescomplemented
205D3×#120C2214yescomplemented
206D3×#120C2212yescomplemented
207#5585C2212yescomplemented
208#5583C2212yescomplemented
209#5577C2212yescomplemented
210#5574C2212yescomplemented
211#5562C2214yescomplemented
212#5561C2212yescomplemented
213#5560C2214yescomplemented
214#5558C2214yescomplemented
215#5558C2214yescomplemented
216#5556C2214yescomplemented
217#5554C2214yescomplemented
218#5553C2212yescomplemented
219#5553C2212yescomplemented
220#5553C2212yescomplemented
221#5550C2214yescomplemented
222#5550C2214yescomplemented
223D4×D12C2212yescomplemented
224D4×D12C2212yescomplemented
225D4×D12C2212yescomplemented
226D4×D12C2214yescomplemented
227D4×D12C2214yescomplemented
228#5547C2212yescomplemented
229#5547C2212yescomplemented
230#5547C2214yescomplemented
231#5547C2214yescomplemented
232#5545C2212yescomplemented
233#5538C2212yescomplemented
234#5538C2212yescomplemented
235#5535C2214yescomplemented
236#5535C2214yescomplemented
237#5532C2212yescomplemented
238#5530C2214yescomplemented
239#5530C2212yescomplemented
240#5529C2214yescomplemented
241#5527C2214yescomplemented
242#5527C2214yescomplemented
243#5525C2214yescomplemented
244#5524C2211yescharacteristic, complemented
245#5524C2214yescomplemented
246#5524C2211yescharacteristic, complemented
247#5521C2211yescharacteristic, complemented
248#5521C2211yescharacteristic, complemented
249#5514C2212yescomplemented
250#5510C2212yescomplemented
251#5507C2212yescomplemented
252C2×#893C2212yescomplemented
253#5494C2214yescomplemented
254#5490C2214yescomplemented
255#5490C2214yescomplemented
256C2×#882C2214yescomplemented
257#5479C2212yescomplemented
258C2×#874C2211yescharacteristic, complemented
259C4×#235C2211yescharacteristic, complemented
260#3562—32no—
261#3560—34no—
262#3551D311yescharacteristic, complemented
263#3546—32no—
264#3546—32no—
265#3543—32no—
266#3543—32no—
267#3542—34no—
268#3542—32no—
269#3540—31no—
270#3539—32no—
271#3537—34no—
272#3537—31no—
273#3534—34no—
274#3534—34no—
275#3533—32no—
276#3532—32no—
277#3532—34no—
278#3529—31no—
279C2×#560—32no—
280#3521—32no—
281#3519—32no—
282#3513—32no—
283#3498—31no—
284#3496—32no—
285#3488—32no—
286#3485—31no—
287#3484—32no—
288#3484—31no—
289C24×D3C2312yes—
290C2×C3×#41C2311yescharacteristic
291C2×C3×#41C2312yes—
292C2×C3×#41C2311yescharacteristic, complemented
293C22×C3×Q8C2311yescharacteristic, complemented
294C22×C3×D4C2311yescharacteristic
295C22×#67C2312yes—
296C22×#67C2314yes—
297#1009—44no—
298#1009—44no—
299#1009—48no—
300C2×#239—44no—
301C2×#239C2312yes—
302C2×#239C2312yes—
303C2×#239C2312yes—
304C2×#239C2314yescomplemented
305C2×#239C2312yescomplemented
306C2×#239C2312yescomplemented
307C2×#237C2314yescomplemented
308C2×D3×D4—44no—
309C2×D3×D4C2312yes—
310C2×D3×D4C2312yes—
311C2×D3×D4C2312yes—
312C2×D3×D4C2314yes—
313C2×D3×D4C2312yes—
314C2×D3×D4C2312yes—
315C2×D3×D4C2314yes—
316C2×D3×D4C2312yes—
317C2×D3×D4C2314yes—
318C2×D3×D4C2314yes—
319C2×D3×D4C2314yes—
320C2×D3×D4C2314yes—
321C2×D3×D4C2314yes—
322C2×D3×D4C2312yescomplemented
323C2×D3×D4C2314yescomplemented
324C2×D3×D4C2314yescomplemented
325C2×D3×D4C2314yescomplemented
326C2×D3×D4C2314yescomplemented
327C2×#235C2311yescharacteristic
328C2×#235C2314yes—
329C2×#235C2312yes—
330C2×#235C2311yescharacteristic
331C2×#235C2311yescharacteristic
332C2×#235C2312yescomplemented
333C2×#235C2314yescomplemented
334C2×#235C2314yescomplemented
335C22×D12C2311yescharacteristic
336C22×D12C2311yescharacteristic
337C22×D12C2312yes—
338C22×D12C2314yes—
339C22×D12C2311yescharacteristic
340C22×D12C2314yes—
341C22×D12C2312yescomplemented
342C22×D12C2311yescharacteristic, complemented
343C22×D12C2314yescomplemented
344C22×C4×D3C2311yescharacteristic
345C22×C4×D3C2312yescomplemented
346C22×C4×D3C2311yescharacteristic, complemented
347C22×C4×D3C2314yescomplemented
348C3×C4⋊Q8C2311yescharacteristic, complemented
349C3×C4⋊Q8C2312yescomplemented
350C3×#127C2311yescharacteristic
351C3×#127C2312yes—
352C3×#126C2314yes—
353C3×#126C2314yescomplemented
354C3×#126C2314yescomplemented
355C3×#125C2314yescomplemented
356C3×#125C2312yescomplemented
357C3×#124C2312yes—
358C3×#124C2312yes—
359C3×#124C2311yescharacteristic
360C3×#124C2312yes—
361C3×#124C2311yescharacteristic, complemented
362C3×#124C2314yescomplemented
363C3×#123C2312yes—
364C3×#123C2314yes—
365C3×#123C2314yes—
366C3×#123C2312yescomplemented
367C3×#123C2314yescomplemented
368C3×#123C2314yescomplemented
369C3×C22⋊Q8C2312yes—
370C3×C22⋊Q8C2314yescomplemented
371C3×C22⋊Q8C2314yescomplemented
372C3×C22⋊Q8C2312yescomplemented
373C3×C22⋊Q8C2312yescomplemented
374C3×#121C2312yes—
375C3×#121C2312yes—
376C3×#121C2312yes—
377C3×#121C2314yes—
378C3×#121C2312yes—
379C3×#121C2314yescomplemented
380C3×#121C2314yescomplemented
381C3×#121C2314yescomplemented
382C3×#121C2314yescomplemented
383C3×#121C2312yescomplemented
384C3×#121C2314yescomplemented
385C3×#120C2312yes—
386C3×#120C2314yes—
387C3×#120C2312yes—
388C3×C4×Q8C2312yescomplemented
389C3×C4×D4C2312yes—
390C3×C4×D4C2312yes—
391C3×C4×D4C2312yescomplemented
392C3×C4×D4C2314yescomplemented
393C3×C4×D4C2314yescomplemented
394C3×C4×D4C2314yescomplemented
395C3×#117C2311yescharacteristic
396C3×#117C2311yescharacteristic, complemented
397C3×#117C2314yescomplemented
398C3×#117C2314yescomplemented
399C2×C3×C4⋊C4C2312yescomplemented
400C2×C3×C22⋊C4C2314yes—
401C2×C3×C42C2311yescharacteristic, complemented
402#953C2312yes—
403#953C2314yes—
404#953C2312yes—
405#947C2314yes—
406#947C2312yes—
407#947C2312yes—
408#947C2312yescomplemented
409#947C2312yescomplemented
410#947C2312yescomplemented
411#946C2312yes—
412#946C2312yes—
413#946C2314yescomplemented
414#946C2314yescomplemented
415#946C2312yescomplemented
416Q8×Dic3C2312yescomplemented
417#944C2312yescomplemented
418#944C2312yescomplemented
419#940C2314yes—
420#940C2312yes—
421#940C2312yes—
422#940C2312yes—
423#940C2314yes—
424#940C2312yes—
425#940C2312yescomplemented
426#940C2314yescomplemented
427#940C2314yescomplemented
428#939C2312yes—
429#939C2314yes—
430#939C2312yes—
431#939C2312yes—
432#939C2314yes—
433#939C2312yes—
434#939C2312yes—
435#939C2312yes—
436#939C2314yescomplemented
437#939C2314yescomplemented
438#939C2314yescomplemented
439#939C2312yescomplemented
440#939C2314yescomplemented
441#939C2314yescomplemented
442#939C2312yescomplemented
443#938C2312yes—
444#938C2314yes—
445#938C2314yes—
446#938C2314yes—
447#938C2312yes—
448#938C2312yes—
449#938C2314yescomplemented
450#938C2314yescomplemented
451#938C2314yescomplemented
452#938C2314yescomplemented
453#937C2311yescharacteristic
454#937C2314yes—
455#937C2314yes—
456#937C2314yes—
457#937C2314yes—
458#937C2314yes—
459#937C2311yescharacteristic
460#937C2312yes—
461#937C2314yes—
462#937C2312yes—
463#937C2311yescharacteristic
464#937C2314yes—
465#937C2314yes—
466#937C2311yescharacteristic, complemented
467#937C2314yescomplemented
468#937C2312yescomplemented
469#937C2312yescomplemented
470#937C2314yescomplemented
471#937C2314yescomplemented
472#936C2312yes—
473#936C2312yescomplemented
474#935C2311yescharacteristic
475#935C2312yes—
476#935C2311yescharacteristic
477#935C2311yescharacteristic
478#935C2311yescharacteristic, complemented
479#935C2314yescomplemented
480#935C2312yescomplemented
481D4×Dic3C2312yes—
482#930C2312yes—
483#930C2312yes—
484#930C2314yes—
485#930C2314yes—
486#930C2314yes—
487#930C2314yes—
488#930C2312yes—
489#930C2314yescomplemented
490#930C2314yescomplemented
491#930C2314yescomplemented
492#930C2312yescomplemented
493#930C2312yescomplemented
494#929C2314yes—
495#929C2312yes—
496#929C2312yescomplemented
497#929C2312yescomplemented
498#929C2314yescomplemented
499#929C2312yescomplemented
500#929C2314yescomplemented
501C4×#67C2312yes—
502C4×#67C2314yes—
503C4×#67C2312yes—
504C4×#67C2312yes—
505C4×#67C2312yes—
506C4×#67C2314yescomplemented
507C4×#67C2314yescomplemented
508C4×#67C2314yescomplemented
509C4×#67C2314yescomplemented
510C4×#67C2314yescomplemented
511C4×#67C2314yescomplemented
512C4×#67C2312yescomplemented
513C4×#67C2312yescomplemented
514C2×(C2×D3)⋊C4C2314yes—
515C2×(C2×D3)⋊C4C2314yes—
516C2×(C2×D3)⋊C4C2314yescomplemented
517#926C2311yescharacteristic
518#926C2311yescharacteristic, complemented
519#926C2311yescharacteristic, complemented
520#924C2312yescomplemented
521#924C2314yescomplemented
522C2×C4×Dic3C2312yescomplemented
523#898C2312yes—
524#898C2314yes—
525#898C2314yes—
526#898C2314yes—
527#898C2314yescomplemented
528#898C2314yescomplemented
529#898C2314yescomplemented
530#898C2312yescomplemented
531#897C2312yes—
532#897C2314yescomplemented
533#897C2314yescomplemented
534#897C2314yescomplemented
535#897C2312yescomplemented
536#896C2312yes—
537#896C2314yescomplemented
538#896C2314yescomplemented
539#896C2314yescomplemented
540#896C2314yescomplemented
541#896C2312yescomplemented
542#895C2314yes—
543#895C2314yes—
544#895C2314yes—
545#895C2314yes—
546#895C2314yes—
547#895C2314yes—
548#895C2314yes—
549#895C2314yes—
550#895C2312yes—
551#895C2312yes—
552#895C2312yes—
553#895C2314yescomplemented
554#895C2314yescomplemented
555#895C2314yescomplemented
556#895C2314yescomplemented
557#895C2314yescomplemented
558#895C2312yescomplemented
559#895C2314yescomplemented
560#894C2314yes—
561#894C2314yes—
562#894C2314yes—
563#894C2312yes—
564#894C2314yes—
565#894C2314yes—
566#894C2312yes—
567#894C2314yescomplemented
568#894C2314yescomplemented
569#894C2314yescomplemented
570#894C2314yescomplemented
571#894C2314yescomplemented
572#894C2314yescomplemented
573#894C2314yescomplemented
574#894C2314yescomplemented
575#894C2314yescomplemented
576#894C2314yescomplemented
577#894C2314yescomplemented
578#894C2314yescomplemented
579#893C2314yes—
580#893C2312yes—
581#893C2312yes—
582#893C2312yes—
583#893C2314yescomplemented
584#893C2312yescomplemented
585#893C2314yescomplemented
586#893C2314yescomplemented
587#893C2314yescomplemented
588#893C2314yescomplemented
589#893C2312yescomplemented
590#893C2312yescomplemented
591#892C2312yes—
592#892C2314yescomplemented
593#892C2314yescomplemented
594D3×C4⋊C4C2314yescomplemented
595D3×C4⋊C4C2314yescomplemented
596D3×C4⋊C4C2314yescomplemented
597D3×C4⋊C4C2314yescomplemented
598D3×C4⋊C4C2314yescomplemented
599D3×C4⋊C4C2312yescomplemented
600#890C2314yescomplemented
601#890C2312yescomplemented
602#889C2312yescomplemented
603#889C2314yescomplemented
604#889C2312yescomplemented
605#888C2312yescomplemented
606#887C2314yescomplemented
607#886C2312yes—
608#886C2312yes—
609#886C2314yescomplemented
610#886C2312yescomplemented
611#886C2314yescomplemented
612#886C2312yescomplemented
613#885C2314yes—
614#885C2314yes—
615#885C2314yes—
616#885C2312yes—
617#885C2312yes—
618#885C2314yescomplemented
619#885C2314yescomplemented
620#885C2314yescomplemented
621#884C2314yes—
622#884C2314yes—
623#884C2314yes—
624#884C2314yes—
625#884C2314yes—
626#884C2314yes—
627#884C2314yes—
628#884C2314yes—
629#884C2314yes—
630#884C2314yes—
631#884C2312yes—
632#884C2314yes—
633#884C2314yes—
634#884C2312yes—
635#884C2314yescomplemented
636#884C2314yescomplemented
637#884C2314yescomplemented
638#884C2314yescomplemented
639#884C2314yescomplemented
640#884C2314yescomplemented
641#884C2314yescomplemented
642#884C2314yescomplemented
643#884C2314yescomplemented
644#884C2314yescomplemented
645#884C2314yescomplemented
646#883C2314yes—
647#883C2314yes—
648#883C2314yes—
649#883C2314yes—
650#883C2314yes—
651#883C2314yes—
652#883C2312yes—
653#883C2314yescomplemented
654#883C2314yescomplemented
655#883C2314yescomplemented
656#883C2314yescomplemented
657#883C2312yescomplemented
658#882C2314yes—
659#882C2314yes—
660#882C2314yes—
661#882C2312yes—
662#882C2314yes—
663#882C2314yes—
664#882C2314yes—
665#882C2314yes—
666#882C2314yes—
667#882C2314yes—
668#882C2314yes—
669#882C2314yes—
670#882C2312yes—
671#882C2314yes—
672#882C2314yes—
673#882C2314yes—
674#882C2312yes—
675#882C2312yescomplemented
676#882C2314yescomplemented
677#882C2314yescomplemented
678#882C2314yescomplemented
679#882C2314yescomplemented
680#882C2314yescomplemented
681#882C2314yescomplemented
682#882C2314yescomplemented
683#67⋊C4C2314yes—
684#67⋊C4C2314yes—
685#67⋊C4C2314yescomplemented
686#67⋊C4C2314yescomplemented
687#67⋊C4C2314yescomplemented
688D3×C22⋊C4C2314yes—
689D3×C22⋊C4C2314yes—
690D3×C22⋊C4C2312yes—
691D3×C22⋊C4C2314yes—
692D3×C22⋊C4C2312yes—
693D3×C22⋊C4C2314yes—
694D3×C22⋊C4C2314yes—
695D3×C22⋊C4C2312yescomplemented
696D3×C22⋊C4C2312yescomplemented
697D3×C22⋊C4C2314yescomplemented
698D3×C22⋊C4C2314yescomplemented
699D3×C22⋊C4C2314yescomplemented
700D3×C22⋊C4C2314yescomplemented
701D3×C22⋊C4C2314yescomplemented
702#879C2312yes—
703#879C2314yescomplemented
704#879C2314yescomplemented
705#879C2314yescomplemented
706#879C2312yescomplemented
707#879C2314yescomplemented
708#879C2314yescomplemented
709#878C2312yes—
710#878C2314yescomplemented
711#878C2312yescomplemented
712#878C2312yescomplemented
713#878C2312yescomplemented
714#877C2314yescomplemented
715#876C2314yes—
716#876C2312yes—
717#876C2314yescomplemented
718#876C2312yescomplemented
719#875C2312yes—
720#875C2314yes—
721#875C2314yescomplemented
722#874C2312yes—
723#874C2314yes—
724#874C2312yescomplemented
725#874C2312yescomplemented
726#874C2312yescomplemented
727C4×D12C2312yes—
728C4×D12C2314yes—
729C4×D12C2314yes—
730C4×D12C2312yes—
731C4×D12C2314yescomplemented
732C4×D12C2314yescomplemented
733C4×D12C2314yescomplemented
734C4×D12C2314yescomplemented
735C4×D12C2314yescomplemented
736C4×D12C2314yescomplemented
737#872C2312yes—
738#872C2312yescomplemented
739#872C2312yescomplemented
740#872C2314yescomplemented
741#872C2314yescomplemented
742C42×D3C2312yescomplemented
743#870C2312yescomplemented
744#870C2314yescomplemented
745C4×Dic6C2312yescomplemented
746C4×Dic6C2312yescomplemented
747C2×H(5,𝔽2)—31no—
748C2×H(5,𝔽2)—32no—
749C2×H(5,𝔽2)—31no—
750C22×#41—31no—
751C23×D4—31no—
752#563—32no—
753#563—31no—
754#563C2×D312yescomplemented
755#562—32no—
756#562—34no—
757#562—34no—
758#562—32no—
759#562—32no—
760H(3,𝔽4)—31no—
761H(3,𝔽4)—32no—
762#560—31no—
763#560—31no—
764#560—32no—
765#560—34no—
766#560—34no—
767#560—34no—
768#560—34no—
769#560—32no—
770#560—32no—
771#560—34no—
772#560—34no—
773#560—34no—
774#560—34no—
775#560—32no—
776#560—34no—
777#560—32no—
778#560—34no—
779#560C2×D312yescomplemented
780#559—32no—
781#559—32no—
782#556—32no—
783#556—32no—
784#555—32no—
785#555C2×D312yescomplemented
786#554—32no—
787#553—34no—
788#553—34no—
789#553—34no—
790#553—34no—
791#553—32no—
792#553—34no—
793#553—34no—
794#553—32no—
795#553—34no—
796#553—32no—
797#553C2×D312yescomplemented
798#552—32no—
799#552—34no—
800#552C2×D312yescomplemented
801#551—34no—
802#551—34no—
803#551—32no—
804#551—34no—
805#551—34no—
806#551—34no—
807#551—34no—
808#551C2×D312yescomplemented
809#550—32no—
810#550—34no—
811#550—32no—
812#550—32no—
813#550—32no—
814#550—32no—
815#548—32no—
816#548C2×D312yescomplemented
817#547—34no—
818#547—32no—
819#547—32no—
820#547—34no—
821#547—32no—
822#547—32no—
823#546—32no—
824#546—32no—
825#546—34no—
826#546—34no—
827#546—34no—
828#546—34no—
829#546—34no—
830#546—34no—
831#546—32no—
832#546—32no—
833#546—32no—
834#546—34no—
835#546—34no—
836#546—32no—
837#546—32no—
838#546—32no—
839#546—32no—
840#546—34no—
841#546—34no—
842#546—34no—
843#546—34no—
844#546—34no—
845#546—34no—
846#546—34no—
847#546—34no—
848#546C2×D312yescomplemented
849D42—32no—
850D42—34no—
851D42—32no—
852D42—32no—
853D42—32no—
854D42—34no—
855D42—32no—
856D42—32no—
857D42—34no—
858D42—34no—
859D42—34no—
860D42—34no—
861D42—34no—
862D42—32no—
863D42—32no—
864D42—32no—
865D42—32no—
866D42—34no—
867D42—34no—
868#542—34no—
869#542—32no—
870#542—34no—
871#542—32no—
872#541—32no—
873#540—32no—
874#540—32no—
875#540—34no—
876#540—32no—
877#540—34no—
878#540—34no—
879#540—34no—
880#540—34no—
881#540C2×D314yescomplemented
882#539—34no—
883#539—34no—
884#539—34no—
885#539—34no—
886#539—34no—
887#538—34no—
888#538—34no—
889#538—34no—
890#538—34no—
891#538—34no—
892#538—34no—
893#538—34no—
894#538—34no—
895#538—34no—
896#538—34no—
897#538—34no—
898#538—34no—
899#538—34no—
900#538C2×D314yescomplemented
901#537—34no—
902#537—32no—
903#537—34no—
904#537—32no—
905#537C2×D312yescomplemented
906#536—31no—
907#536C2×D311yescharacteristic, complemented
908#535—31no—
909#535—31no—
910#535—31no—
911#535—32no—
912#535—32no—
913#535—32no—
914#535—34no—
915#535—32no—
916#535—32no—
917#535—34no—
918#535—34no—
919#535—34no—
920#535—34no—
921#535C2×D311yescharacteristic, complemented
922#534—34no—
923#534—32no—
924#534—32no—
925#534—34no—
926#534—34no—
927#534—34no—
928#534—34no—
929#534—34no—
930#534—34no—
931#534—32no—
932#534—32no—
933#534—34no—
934#532—32no—
935#532—32no—
936#532—32no—
937#532—32no—
938#532C2×D311yescharacteristic, complemented
939C2×#127—32no—
940C2×#127—31no—
941#529—34no—
942#529—32no—
943#529—32no—
944#529—32no—
945#529—32no—
946#529C2×D312yescomplemented
947C2×#126—34no—
948#525—31no—
949#525—31no—
950#525—32no—
951#525—32no—
952#525—32no—
953#525—34no—
954#525—34no—
955#525—31no—
956#525—31no—
957#525—34no—
958C2×#123—32no—
959C2×#123—34no—
960C2×#123—32no—
961C2×#121—32no—
962C2×#121—34no—
963C2×#121—34no—
964C2×#121—34no—
965C2×#121—34no—
966C2×#120—34no—
967C2×#120—32no—
968C2×#120—32no—
969C2×#120—34no—
970#520—32no—
971#518—32no—
972#518—31no—
973#518—31no—
974C4×#41—31no—
975C2×C4×D4—32no—
976C24×C3C2412yes—
977C23×D3—44no—
978C23×D3—84no—
979C23×D3C2412yes—
980C23×D3C2414yes—
981C23×D3C2412yes—
982C23×D3C2414yes—
983C23×D3C2414yes—
984C23×D3C2412yes—
985C23×D3C2414yes—
986C23×D3C2412yes—
987C23×D3C2411yescharacteristic
988C23×D3C2411yescharacteristic
989C3×#41—42no—
990C3×#41—42no—
991C3×#41—44no—
992C2×C3×Q8—42no—
993C2×C3×Q8C2412yes—
994C2×C3×Q8C2411yescharacteristic
995C2×C3×Q8C2411yescharacteristic
996C2×C3×Q8C2412yes—
997C2×C3×D4—42no—
998C2×C3×D4C2412yes—
999C2×C3×D4C2411yescharacteristic
1000C2×C3×D4C2411yescharacteristic
1001C2×C3×D4C2412yes—
1002C2×C3×D4C2414yes—
1003C2×C3×D4C2411yescharacteristic
1004C2×C3×D4C2412yes—
1005C2×C3×D4C2412yes—
1006C2×C3×D4C2414yes—
1007C2×C3×D4C2412yes—
1008C2×C3×D4C2414yes—
1009C2×C3×D4C2414yes—
1010C2×C3×D4C2411yescharacteristic
1011C22×C3×C4C2412yes—
1012C22×C3×C4C2411yescharacteristic
1013C22×C3×C4C2411yescharacteristic
1014C22×C3×C4C2411yescharacteristic
1015C22×C3×C4C2414yes—
1016C22×C3×C4C2412yes—
1017C22×C3×C4C2414yes—
1018C22×C3×C4C2414yes—
1019C22×C3×C4C2412yes—
1020C2×#67—44no—
1021C2×#67—84no—
1022C2×#67C2414yes—
1023C2×#67C2412yes—
1024C2×#67C2414yes—
1025C2×#67C2414yes—
1026C2×#67C2414yes—
1027C2×#67C2414yes—
1028C2×#67C2412yes—
1029C2×#67C2414yes—
1030C2×#67C2412yes—
1031C2×#67C2414yes—
1032C2×#67C2412yes—
1033C2×#67C2414yes—
1034C2×#67C2414yes—
1035C2×#67C2414yes—
1036C2×#67C2412yes—
1037C2×#67C2412yes—
1038C2×#67C2412yes—
1039C2×#67C2414yes—
1040C2×#67C2414yes—
1041C2×#67C2412yes—
1042C2×#67C2412yes—
1043C2×#67C2414yes—
1044C2×#67C2412yes—
1045C2×#67C2412yes—
1046C22×Dic3C2414yes—
1047C22×Dic3C2411yescharacteristic
1048C22×Dic3C2411yescharacteristic
1049C22×Dic3C2412yes—
1050C22×Dic3C2412yes—
1051#239—28no—
1052#239—48no—
1053#239—44no—
1054#239—44no—
1055#239—44no—
1056#239—44no—
1057#237—84no—
1058D3×D4—28no—
1059D3×D4—44no—
1060D3×D4—44no—
1061D3×D4—48no—
1062D3×D4—44no—
1063D3×D4—44no—
1064D3×D4—48no—
1065D3×D4—44no—
1066D3×D4—44no—
1067D3×D4—48no—
1068D3×D4—48no—
1069D3×D4—84no—
1070D3×D4—84no—
1071D3×D4—84no—
1072D3×D4—84no—
1073D3×D4—84no—
1074D3×D4—84no—
1075D3×D4—84no—
1076#235—24no—
1077#235—42no—
1078#235—42no—
1079#235—44no—
1080#235—44no—
1081#235—48no—
1082#235—84no—
1083#235—84no—
1084C2×D12—24no—
1085C2×D12—24no—
1086C2×D12—28no—
1087C2×D12—42no—
1088C2×D12—42no—
1089C2×D12—48no—
1090C2×D12—44no—
1091C2×D12—84no—
1092C2×D12—84no—
1093C2×D12C2412yes—
1094C2×D12C2412yes—
1095C2×D12C2414yes—
1096C2×D12C2411yescharacteristic
1097C2×D12C2412yes—
1098C2×D12C2411yescharacteristic
1099C2×D12C2414yes—
1100C2×D12C2412yes—
1101C2×D12C2414yes—
1102C2×D12C2414yes—
1103C2×D12C2414yes—
1104C2×D12C2414yes—
1105C2×D12C2414yes—
1106C2×D12C2414yes—
1107C2×D12C2414yes—
1108C2×D12C2414yes—
1109C2×D12C2412yes—
1110C2×D12C2412yes—
1111C2×D12C2414yes—
1112C2×D12C2414yes—
1113C2×D12C2412yes—
1114C2×D12C2411yescharacteristic
1115C2×C4×D3—42no—
1116C2×C4×D3—42no—
1117C2×C4×D3—44no—
1118C2×C4×D3—84no—
1119C2×C4×D3C2412yes—
1120C2×C4×D3C2412yes—
1121C2×C4×D3C2412yes—
1122C2×C4×D3C2414yes—
1123C2×C4×D3C2414yes—
1124C2×C4×D3C2414yes—
1125C2×C4×D3C2412yes—
1126C2×C4×D3C2412yes—
1127C2×C4×D3C2414yes—
1128C2×C4×D3C2414yes—
1129C2×C4×D3C2412yes—
1130C2×C4×D3C2412yes—
1131C2×C4×D3C2414yes—
1132C2×C4×D3C2414yes—
1133C2×C4×D3C2414yes—
1134C2×C4×D3C2414yes—
1135C2×C4×D3C2414yes—
1136C2×C4×D3C2414yes—
1137C2×C4×D3C2414yes—
1138C2×Dic6C2411yescharacteristic
1139C2×Dic6C2412yes—
1140C2×Dic6C2414yes—
1141C2×Dic6C2412yes—
1142C3×C4⋊C4C2414yes—
1143C3×C4⋊C4C2412yes—
1144C3×C4⋊C4C2414yes—
1145C3×C4⋊C4C2412yes—
1146C3×C4⋊C4C2412yes—
1147C3×C4⋊C4C2412yes—
1148C3×C4⋊C4C2414yes—
1149C3×C4⋊C4C2414yes—
1150C3×C4⋊C4C2414yes—
1151C3×C4⋊C4C2414yes—
1152C3×C4⋊C4C2414yes—
1153C3×C22⋊C4C2414yes—
1154C3×C22⋊C4C2412yes—
1155C3×C22⋊C4C2414yes—
1156C3×C22⋊C4C2412yes—
1157C3×C22⋊C4C2412yes—
1158C3×C22⋊C4C2412yes—
1159C3×C22⋊C4C2414yes—
1160C3×C22⋊C4C2414yes—
1161C3×C22⋊C4C2414yes—
1162C3×C22⋊C4C2412yes—
1163C3×C22⋊C4C2414yes—
1164C3×C22⋊C4C2414yes—
1165C3×C22⋊C4C2412yes—
1166C3×C22⋊C4C2414yes—
1167C3×C22⋊C4C2414yes—
1168C3×C42C2412yes—
1169C3×C42C2411yescharacteristic
1170C3×C42C2414yes—
1171C3×C42C2411yescharacteristic
1172C3×C42C2412yes—
1173C3×C42C2412yes—
1174#217C2414yes—
1175#217C2412yes—
1176#217C2414yes—
1177#217C2412yes—
1178#217C2412yes—
1179#217C2412yes—
1180#217C2411yescharacteristic
1181#217C2414yes—
1182#217C2414yes—
1183#217C2412yes—
1184#217C2411yescharacteristic
1185#217C2412yes—
1186#217C2411yescharacteristic
1187#217C2412yes—
1188#217C2411yescharacteristic
1189(C2×D3)⋊C4C2412yes—
1190(C2×D3)⋊C4C2412yes—
1191(C2×D3)⋊C4C2414yes—
1192(C2×D3)⋊C4C2414yes—
1193(C2×D3)⋊C4C2412yes—
1194(C2×D3)⋊C4C2414yes—
1195(C2×D3)⋊C4C2412yes—
1196(C2×D3)⋊C4C2414yes—
1197(C2×D3)⋊C4C2414yes—
1198(C2×D3)⋊C4C2414yes—
1199(C2×D3)⋊C4C2412yes—
1200(C2×D3)⋊C4C2414yes—
1201(C2×D3)⋊C4C2412yes—
1202(C2×D3)⋊C4C2412yes—
1203(C2×D3)⋊C4C2414yes—
1204(C2×D3)⋊C4C2414yes—
1205(C2×D3)⋊C4C2414yes—
1206(C2×D3)⋊C4C2414yes—
1207(C2×D3)⋊C4C2414yes—
1208(C2×D3)⋊C4C2414yes—
1209(C2×D3)⋊C4C2414yes—
1210(C2×D3)⋊C4C2414yes—
1211(C2×D3)⋊C4C2412yes—
1212(C2×D3)⋊C4C2412yes—
1213(C2×D3)⋊C4C2412yes—
1214(C2×D3)⋊C4C2414yes—
1215(C2×D3)⋊C4C2414yes—
1216(C2×D3)⋊C4C2414yes—
1217(C2×D3)⋊C4C2414yes—
1218(C2×D3)⋊C4C2414yes—
1219(C2×D3)⋊C4C2414yes—
1220(C2×D3)⋊C4C2412yes—
1221(C2×D3)⋊C4C2414yes—
1222(C2×D3)⋊C4C2412yes—
1223(C2×D3)⋊C4C2414yes—
1224C4⋊Dic3C2412yes—
1225C4⋊Dic3C2412yes—
1226C4⋊Dic3C2412yes—
1227C4⋊Dic3C2414yes—
1228C4⋊Dic3C2414yes—
1229C4⋊Dic3C2412yes—
1230C4⋊Dic3C2412yes—
1231C4⋊Dic3C2414yes—
1232C4⋊Dic3C2414yes—
1233Dic3⋊C4C2414yes—
1234Dic3⋊C4C2412yes—
1235Dic3⋊C4C2412yes—
1236Dic3⋊C4C2412yes—
1237Dic3⋊C4C2412yes—
1238Dic3⋊C4C2412yes—
1239Dic3⋊C4C2412yes—
1240Dic3⋊C4C2414yes—
1241Dic3⋊C4C2414yes—
1242Dic3⋊C4C2412yes—
1243Dic3⋊C4C2412yes—
1244Dic3⋊C4C2412yes—
1245Dic3⋊C4C2414yes—
1246Dic3⋊C4C2414yes—
1247Dic3⋊C4C2414yes—
1248Dic3⋊C4C2414yes—
1249Dic3⋊C4C2412yes—
1250Dic3⋊C4C2412yes—
1251Dic3⋊C4C2412yes—
1252C4×Dic3C2414yes—
1253C4×Dic3C2412yes—
1254C4×Dic3C2412yes—
1255C4×Dic3C2412yes—
1256C4×Dic3C2414yes—
1257C4×Dic3C2414yes—
1258C4×Dic3C2412yes—
1259C4×Dic3C2412yes—
1260C25—32no—
1261H(5,𝔽2)—124no—
1262H(5,𝔽2)—124no—
1263H(5,𝔽2)—128no—
1264C2×#41—32no—
1265C2×#41—32no—
1266C2×#41—32no—
1267C2×#41—32no—
1268C2×#41—34no—
1269C2×#41—32no—
1270C2×#41—34no—
1271C2×#41—31no—
1272C2×#41—32no—
1273C2×#41—31no—
1274C2×#41—31no—
1275C2×#41—34no—
1276C2×#41—32no—
1277C2×#41—34no—
1278C2×#41—34no—
1279C2×#41—124no—
1280C2×#41C22×D311yescharacteristic
1281C2×#41C22×D312yes—
1282C2×#41C22×D311yescharacteristic, complemented
1283C22×Q8C22×D311yescharacteristic, complemented
1284C22×D4—32no—
1285C22×D4—34no—
1286C22×D4—32no—
1287C22×D4—34no—
1288C22×D4—32no—
1289C22×D4—32no—
1290C22×D4—32no—
1291C22×D4—34no—
1292C22×D4—34no—
1293C22×D4—32no—
1294C22×D4—32no—
1295C22×D4—34no—
1296C22×D4—32no—
1297C22×D4—34no—
1298C22×D4—34no—
1299C22×D4—34no—
1300C22×D4—34no—
1301C22×D4—34no—
1302C22×D4—34no—
1303C22×D4—34no—
1304C22×D4—32no—
1305C22×D4—31no—
1306C22×D4—31no—
1307C22×D4—34no—
1308C22×D4—31no—
1309C22×D4—31no—
1310C22×D4—32no—
1311C22×D4—34no—
1312C22×D4—34no—
1313C22×D4—124no—
1314C22×D4C22×D311yescharacteristic
1315C23×C4—32no—
1316C23×C4—31no—
1317C23×C4—31no—
1318C23×C4—34no—
1319C4⋊Q8—32no—
1320C4⋊Q8—32no—
1321C4⋊Q8—32no—
1322C4⋊Q8C22×D311yescharacteristic, complemented
1323C4⋊Q8C22×D312yescomplemented
1324#127—32no—
1325#127—32no—
1326#127—34no—
1327#127—34no—
1328#127—32no—
1329#127—32no—
1330#127—32no—
1331#127—34no—
1332#127—34no—
1333#127—32no—
1334#127—32no—
1335#127—32no—
1336#127—32no—
1337#127—34no—
1338#127C22×D311yescharacteristic
1339#127C22×D312yes—
1340#126—34no—
1341#126—34no—
1342#126—34no—
1343#126—34no—
1344#126—32no—
1345#126—32no—
1346#126—34no—
1347#126—34no—
1348#126—34no—
1349#126—34no—
1350#126—34no—
1351#126—32no—
1352#126—32no—
1353#126—34no—
1354#126—34no—
1355#126—32no—
1356#126—32no—
1357#126—34no—
1358#126—34no—
1359#126C22×D314yes—
1360#126C22×D314yescomplemented
1361#126C22×D314yescomplemented
1362#125—34no—
1363#125—32no—
1364#125—32no—
1365#125—32no—
1366#125—34no—
1367#125—32no—
1368#125—34no—
1369#125C22×D312yescomplemented
1370#125C22×D314yescomplemented
1371#124—32no—
1372#124—32no—
1373#124—32no—
1374#124—32no—
1375#124—32no—
1376#124—34no—
1377#124—32no—
1378#124—32no—
1379#124—34no—
1380#124—32no—
1381#124—32no—
1382#124—34no—
1383#124—34no—
1384#124—34no—
1385#124—34no—
1386#124—34no—
1387#124—32no—
1388#124—34no—
1389#124—34no—
1390#124C22×D312yes—
1391#124C22×D311yescharacteristic
1392#124C22×D312yes—
1393#124C22×D312yes—
1394#124C22×D311yescharacteristic, complemented
1395#124C22×D314yescomplemented
1396#123—31no—
1397#123—31no—
1398#123—32no—
1399#123—31no—
1400#123—31no—
1401#123—32no—
1402#123—34no—
1403#123—32no—
1404#123—32no—
1405#123—34no—
1406#123—32no—
1407#123—32no—
1408#123—34no—
1409#123—34no—
1410#123—34no—
1411#123—34no—
1412#123—34no—
1413#123—34no—
1414#123—34no—
1415#123—32no—
1416#123—34no—
1417#123—34no—
1418#123—32no—
1419#123—34no—
1420#123—34no—
1421#123—34no—
1422#123—34no—
1423#123—34no—
1424#123—34no—
1425#123—34no—
1426#123—34no—
1427#123—34no—
1428#123—34no—
1429#123—32no—
1430#123—34no—
1431#123—34no—
1432#123—34no—
1433#123—34no—
1434#123—34no—
1435#123—32no—
1436#123—32no—
1437#123—32no—
1438#123—34no—
1439#123—34no—
1440#123—32no—
1441#123—34no—
1442#123—32no—
1443#123—34no—
1444#123—34no—
1445#123—34no—
1446#123—34no—
1447#123C22×D312yes—
1448#123C22×D314yes—
1449#123C22×D314yes—
1450#123C22×D312yescomplemented
1451#123C22×D314yescomplemented
1452#123C22×D314yescomplemented
1453C22⋊Q8—32no—
1454C22⋊Q8—32no—
1455C22⋊Q8—32no—
1456C22⋊Q8—34no—
1457C22⋊Q8—34no—
1458C22⋊Q8—32no—
1459C22⋊Q8—34no—
1460C22⋊Q8—34no—
1461C22⋊Q8—32no—
1462C22⋊Q8—34no—
1463C22⋊Q8—32no—
1464C22⋊Q8—32no—
1465C22⋊Q8—34no—
1466C22⋊Q8—34no—
1467C22⋊Q8—32no—
1468C22⋊Q8—34no—
1469C22⋊Q8—34no—
1470C22⋊Q8—34no—
1471C22⋊Q8—32no—
1472C22⋊Q8—32no—
1473C22⋊Q8—32no—
1474C22⋊Q8—32no—
1475C22⋊Q8—34no—
1476C22⋊Q8C22×D312yes—
1477C22⋊Q8C22×D312yescomplemented
1478C22⋊Q8C22×D312yescomplemented
1479C22⋊Q8C22×D314yescomplemented
1480C22⋊Q8C22×D314yescomplemented
1481#121—32no—
1482#121—34no—
1483#121—32no—
1484#121—32no—
1485#121—32no—
1486#121—34no—
1487#121—34no—
1488#121—34no—
1489#121—32no—
1490#121—34no—
1491#121—34no—
1492#121—34no—
1493#121—32no—
1494#121—32no—
1495#121—32no—
1496#121—32no—
1497#121—34no—
1498#121—32no—
1499#121—32no—
1500#121—34no—
1501#121—34no—
1502#121—34no—
1503#121—34no—
1504#121—34no—
1505#121—34no—
1506#121—34no—
1507#121—34no—
1508#121—32no—
1509#121—34no—
1510#121—34no—
1511#121—32no—
1512#121—32no—
1513#121—32no—
1514#121—32no—
1515#121—34no—
1516#121—34no—
1517#121—34no—
1518#121—34no—
1519#121—34no—
1520#121—34no—
1521#121—32no—
1522#121—34no—
1523#121—34no—
1524#121—34no—
1525#121—32no—
1526#121—32no—
1527#121—32no—
1528#121—34no—
1529#121—34no—
1530#121—34no—
1531#121—34no—
1532#121—34no—
1533#121—34no—
1534#121—34no—
1535#121—34no—
1536#121—34no—
1537#121—34no—
1538#121—34no—
1539#121—34no—
1540#121—34no—
1541#121—34no—
1542#121—34no—
1543#121—34no—
1544#121—34no—
1545#121—34no—
1546#121—34no—
1547#121—32no—
1548#121—32no—
1549#121—34no—
1550#121—34no—
1551#121—34no—
1552#121—34no—
1553#121—34no—
1554#121—34no—
1555#121—34no—
1556#121—34no—
1557#121—34no—
1558#121—34no—
1559#121—34no—
1560#121—34no—
1561#121C22×D312yes—
1562#121C22×D312yes—
1563#121C22×D312yes—
1564#121C22×D312yes—
1565#121C22×D314yes—
1566#121C22×D314yescomplemented
1567#121C22×D314yescomplemented
1568#121C22×D314yescomplemented
1569#121C22×D314yescomplemented
1570#121C22×D312yescomplemented
1571#121C22×D314yescomplemented
1572#120—32no—
1573#120—32no—
1574#120—34no—
1575#120—32no—
1576#120—31no—
1577#120—31no—
1578#120—34no—
1579#120—34no—
1580#120—34no—
1581#120—34no—
1582#120—34no—
1583#120—31no—
1584#120—31no—
1585#120—34no—
1586#120—32no—
1587#120—34no—
1588#120—32no—
1589#120—34no—
1590#120—34no—
1591#120—34no—
1592#120—34no—
1593#120—32no—
1594#120—32no—
1595#120—34no—
1596#120—32no—
1597#120—34no—
1598#120—34no—
1599#120—34no—
1600#120—34no—
1601#120—34no—
1602#120—34no—
1603#120—34no—
1604#120—34no—
1605#120—34no—
1606#120—34no—
1607#120—32no—
1608#120—32no—
1609#120—34no—
1610#120—34no—
1611#120—34no—
1612#120—34no—
1613#120—34no—
1614#120—34no—
1615#120—34no—
1616#120—34no—
1617#120—34no—
1618#120—34no—
1619#120C22×D312yes—
1620#120C22×D312yes—
1621#120C22×D314yes—
1622C4×Q8—32no—
1623C4×Q8—34no—
1624C4×Q8—32no—
1625C4×Q8—32no—
1626C4×Q8C22×D312yescomplemented
1627C4×D4—32no—
1628C4×D4—34no—
1629C4×D4—34no—
1630C4×D4—32no—
1631C4×D4—32no—
1632C4×D4—32no—
1633C4×D4—32no—
1634C4×D4—32no—
1635C4×D4—32no—
1636C4×D4—34no—
1637C4×D4—34no—
1638C4×D4—34no—
1639C4×D4—34no—
1640C4×D4—34no—
1641C4×D4—32no—
1642C4×D4—32no—
1643C4×D4—34no—
1644C4×D4—34no—
1645C4×D4—32no—
1646C4×D4—32no—
1647C4×D4—32no—
1648C4×D4—32no—
1649C4×D4—34no—
1650C4×D4—34no—
1651C4×D4—34no—
1652C4×D4—34no—
1653C4×D4—34no—
1654C4×D4—34no—
1655C4×D4—34no—
1656C4×D4—34no—
1657C4×D4—34no—
1658C4×D4—32no—
1659C4×D4—34no—
1660C4×D4—34no—
1661C4×D4—34no—
1662C4×D4—32no—
1663C4×D4—34no—
1664C4×D4—34no—
1665C4×D4—34no—
1666C4×D4—34no—
1667C4×D4—34no—
1668C4×D4C22×D312yes—
1669C4×D4C22×D312yes—
1670C4×D4C22×D312yescomplemented
1671C4×D4C22×D314yescomplemented
1672C4×D4C22×D314yescomplemented
1673C4×D4C22×D314yescomplemented
1674#117—31no—
1675#117—31no—
1676#117—31no—
1677#117—32no—
1678#117—34no—
1679#117—34no—
1680#117—34no—
1681#117—32no—
1682#117—32no—
1683#117—32no—
1684#117—34no—
1685#117—34no—
1686#117C22×D311yescharacteristic
1687#117C22×D311yescharacteristic, complemented
1688#117C22×D314yescomplemented
1689#117C22×D314yescomplemented
1690C2×C4⋊C4—34no—
1691C2×C4⋊C4—32no—
1692C2×C4⋊C4—34no—
1693C2×C4⋊C4—34no—
1694C2×C4⋊C4—34no—
1695C2×C4⋊C4—34no—
1696C2×C4⋊C4C22×D312yescomplemented
1697C2×C22⋊C4—34no—
1698C2×C22⋊C4—34no—
1699C2×C22⋊C4—34no—
1700C2×C22⋊C4—34no—
1701C2×C22⋊C4—32no—
1702C2×C22⋊C4—32no—
1703C2×C22⋊C4—32no—
1704C2×C22⋊C4—32no—
1705C2×C22⋊C4—34no—
1706C2×C22⋊C4—34no—
1707C2×C22⋊C4—34no—
1708C2×C22⋊C4—34no—
1709C2×C22⋊C4—34no—
1710C2×C22⋊C4—34no—
1711C2×C22⋊C4—34no—
1712C2×C22⋊C4—34no—
1713C2×C22⋊C4—34no—
1714C2×C22⋊C4C22×D314yes—
1715C2×C42—32no—
1716C2×C42—32no—
1717C2×C42C22×D311yescharacteristic, complemented
1718C23×C3—42no—
1719C23×C3—44no—
1720C23×C3C2511yescharacteristic
1721C23×C3C2511yescharacteristic
1722C23×C3C2514yes—
1723C23×C3C2511yescharacteristic
1724C23×C3C2512yes—
1725C22×D3—24no—
1726C22×D3—28no—
1727C22×D3—24no—
1728C22×D3—28no—
1729C22×D3—41no—
1730C22×D3—42no—
1731C22×D3—41no—
1732C22×D3—44no—
1733C22×D3—44no—
1734C22×D3—44no—
1735C22×D3—44no—
1736C22×D3—44no—
1737C22×D3—42no—
1738C22×D3—44no—
1739C22×D3—44no—
1740C22×D3—44no—
1741C22×D3—44no—
1742C22×D3—44no—
1743C22×D3—42no—
1744C22×D3—42no—
1745C22×D3—44no—
1746C22×D3—44no—
1747C22×D3—44no—
1748C22×D3—44no—
1749C22×D3—816no—
1750C22×D3C2512yes—
1751C22×D3C2512yes—
1752C22×D3C2512yes—
1753C22×D3C2514yes—
1754C22×D3C2512yes—
1755C22×D3C2512yes—
1756C3×Q8—24no—
1757C3×Q8—42no—
1758C3×Q8—41no—
1759C3×Q8—41no—
1760C3×D4—24no—
1761C3×D4—42no—
1762C3×D4—42no—
1763C3×D4—41no—
1764C3×D4—41no—
1765C3×D4—44no—
1766C3×D4—41no—
1767C3×D4—41no—
1768C3×D4—44no—
1769C3×D4—44no—
1770C3×D4—42no—
1771C3×D4—42no—
1772C3×D4—44no—
1773C2×C3×C4—22no—
1774C2×C3×C4—22no—
1775C2×C3×C4—24no—
1776C2×C3×C4—22no—
1777C2×C3×C4—42no—
1778C2×C3×C4—44no—
1779C2×C3×C4—44no—
1780C2×C3×C4—42no—
1781C2×C3×C4—44no—
1782C2×C3×C4C2512yes—
1783C2×C3×C4C2511yescharacteristic
1784C2×C3×C4C2512yes—
1785C2×C3×C4C2514yes—
1786C2×C3×C4C2514yes—
1787C2×C3×C4C2512yes—
1788C2×C3×C4C2511yescharacteristic
1789C2×C3×C4C2514yes—
1790C2×C3×C4C2511yescharacteristic
1791C2×C3×C4C2511yescharacteristic
1792#67—24no—
1793#67—28no—
1794#67—42no—
1795#67—44no—
1796#67—42no—
1797#67—42no—
1798#67—44no—
1799#67—42no—
1800#67—42no—
1801#67—44no—
1802#67—44no—
1803#67—44no—
1804#67—44no—
1805#67—42no—
1806#67—42no—
1807#67—44no—
1808#67—44no—
1809#67—42no—
1810#67—42no—
1811#67—44no—
1812#67—44no—
1813#67—44no—
1814#67—44no—
1815#67—42no—
1816C2×Dic3—41no—
1817C2×Dic3—41no—
1818C2×Dic3—42no—
1819C2×Dic3—42no—
1820C2×Dic3—44no—
1821C2×Dic3C2514yes—
1822C2×Dic3C2512yes—
1823C2×Dic3C2512yes—
1824C2×Dic3C2512yes—
1825C2×Dic3C2512yes—
1826C2×Dic3C2512yes—
1827C2×Dic3C2512yes—
1828C2×Dic3C2512yes—
1829D12—28no—
1830D12—24no—
1831D12—24no—
1832D12—28no—
1833D12—22no—
1834D12—24no—
1835D12—22no—
1836D12—42no—
1837D12—42no—
1838D12—42no—
1839D12—44no—
1840D12—44no—
1841D12—42no—
1842D12—44no—
1843D12—44no—
1844D12—44no—
1845D12—44no—
1846D12—44no—
1847D12—44no—
1848D12—44no—
1849D12—44no—
1850D12H(5,𝔽2)14yes—
1851C4×D3—28no—
1852C4×D3—24no—
1853C4×D3—24no—
1854C4×D3—24no—
1855C4×D3—42no—
1856C4×D3—44no—
1857C4×D3—42no—
1858C4×D3—44no—
1859C4×D3—44no—
1860C4×D3—44no—
1861C4×D3—44no—
1862C4×D3—44no—
1863C4×D3—42no—
1864C4×D3—42no—
1865C4×D3—44no—
1866C4×D3—44no—
1867C4×D3—44no—
1868C4×D3—44no—
1869C4×D3—44no—
1870Dic6—22no—
1871Dic6—42no—
1872Dic6—42no—
1873Dic6—44no—
1874C24—34no—
1875C24—32no—
1876C24—34no—
1877C24—32no—
1878C24—34no—
1879C24—32no—
1880C24—32no—
1881C24—34no—
1882C24—31no—
1883C24—31no—
1884C24—124no—
1885C24—244no—
1886C24C23×D312yes—
1887#41—42no—
1888#41—42no—
1889#41—44no—
1890#41—64no—
1891#41—68no—
1892#41—124no—
1893#41—122no—
1894#41—122no—
1895#41—124no—
1896#41—128no—
1897#41—128no—
1898#41—124no—
1899#41—124no—
1900#41—124no—
1901#41—124no—
1902#41—244no—
1903#41—244no—
1904#41—244no—
1905C2×Q8—31no—
1906C2×Q8—32no—
1907C2×Q8—34no—
1908C2×Q8—32no—
1909C2×Q8—42no—
1910C2×Q8C23×D312yes—
1911C2×Q8C23×D312yes—
1912C2×Q8C23×D311yescharacteristic
1913C2×Q8C23×D311yescharacteristic
1914C2×D4—34no—
1915C2×D4—32no—
1916C2×D4—34no—
1917C2×D4—32no—
1918C2×D4—32no—
1919C2×D4—32no—
1920C2×D4—32no—
1921C2×D4—34no—
1922C2×D4—34no—
1923C2×D4—34no—
1924C2×D4—34no—
1925C2×D4—32no—
1926C2×D4—32no—
1927C2×D4—34no—
1928C2×D4—34no—
1929C2×D4—34no—
1930C2×D4—34no—
1931C2×D4—32no—
1932C2×D4—34no—
1933C2×D4—32no—
1934C2×D4—32no—
1935C2×D4—34no—
1936C2×D4—32no—
1937C2×D4—34no—
1938C2×D4—31no—
1939C2×D4—32no—
1940C2×D4—34no—
1941C2×D4—34no—
1942C2×D4—32no—
1943C2×D4—31no—
1944C2×D4—32no—
1945C2×D4—31no—
1946C2×D4—34no—
1947C2×D4—34no—
1948C2×D4—32no—
1949C2×D4—34no—
1950C2×D4—34no—
1951C2×D4—34no—
1952C2×D4—34no—
1953C2×D4—34no—
1954C2×D4—34no—
1955C2×D4—32no—
1956C2×D4—34no—
1957C2×D4—34no—
1958C2×D4—32no—
1959C2×D4—32no—
1960C2×D4—42no—
1961C2×D4—64no—
1962C2×D4—64no—
1963C2×D4—68no—
1964C2×D4—68no—
1965C2×D4—122no—
1966C2×D4—122no—
1967C2×D4—124no—
1968C2×D4—128no—
1969C2×D4—124no—
1970C2×D4—124no—
1971C2×D4—128no—
1972C2×D4—124no—
1973C2×D4—124no—
1974C2×D4—128no—
1975C2×D4—124no—
1976C2×D4—128no—
1977C2×D4—124no—
1978C2×D4—128no—
1979C2×D4—124no—
1980C2×D4—244no—
1981C2×D4—244no—
1982C2×D4—244no—
1983C2×D4—244no—
1984C2×D4—244no—
1985C2×D4—244no—
1986C2×D4—244no—
1987C2×D4—244no—
1988C2×D4—244no—
1989C2×D4—244no—
1990C2×D4C23×D312yes—
1991C2×D4C23×D312yes—
1992C2×D4C23×D314yes—
1993C2×D4C23×D314yes—
1994C2×D4C23×D314yes—
1995C2×D4C23×D312yes—
1996C2×D4C23×D311yescharacteristic
1997C2×D4C23×D311yescharacteristic
1998C2×D4C23×D311yescharacteristic
1999C2×D4C23×D312yes—
2000C2×D4C23×D312yes—
2001C2×D4C23×D314yes—
2002C2×D4C23×D311yescharacteristic
2003C22×C4—32no—
2004C22×C4—32no—
2005C22×C4—34no—
2006C22×C4—31no—
2007C22×C4—31no—
2008C22×C4—32no—
2009C22×C4—34no—
2010C22×C4—32no—
2011C22×C4—32no—
2012C22×C4—34no—
2013C22×C4—34no—
2014C22×C4—34no—
2015C22×C4—34no—
2016C22×C4—34no—
2017C22×C4—34no—
2018C22×C4—32no—
2019C22×C4—32no—
2020C22×C4—34no—
2021C22×C4—34no—
2022C22×C4—34no—
2023C22×C4—34no—
2024C22×C4—32no—
2025C22×C4—34no—
2026C22×C4—32no—
2027C22×C4—122no—
2028C22×C4—122no—
2029C22×C4—124no—
2030C22×C4—244no—
2031C22×C4C23×D312yes—
2032C22×C4C23×D311yescharacteristic
2033C22×C4C23×D311yescharacteristic
2034C22×C4C23×D311yescharacteristic
2035C22×C4C23×D312yes—
2036C22×C4C23×D314yes—
2037C22×C4C23×D314yes—
2038C22×C4C23×D314yes—
2039C22×C4C23×D312yes—
2040C4⋊C4—34no—
2041C4⋊C4—32no—
2042C4⋊C4—32no—
2043C4⋊C4—34no—
2044C4⋊C4—32no—
2045C4⋊C4—32no—
2046C4⋊C4—34no—
2047C4⋊C4—32no—
2048C4⋊C4—32no—
2049C4⋊C4—34no—
2050C4⋊C4—34no—
2051C4⋊C4—34no—
2052C4⋊C4—34no—
2053C4⋊C4—34no—
2054C4⋊C4—32no—
2055C4⋊C4—32no—
2056C4⋊C4—32no—
2057C4⋊C4—32no—
2058C4⋊C4—32no—
2059C4⋊C4—32no—
2060C4⋊C4—32no—
2061C4⋊C4—34no—
2062C4⋊C4—32no—
2063C4⋊C4—34no—
2064C4⋊C4—32no—
2065C4⋊C4—34no—
2066C4⋊C4—32no—
2067C4⋊C4—32no—
2068C4⋊C4C23×D312yes—
2069C4⋊C4C23×D314yes—
2070C4⋊C4C23×D314yes—
2071C4⋊C4C23×D314yes—
2072C4⋊C4C23×D314yes—
2073C4⋊C4C23×D314yes—
2074C4⋊C4C23×D312yes—
2075C4⋊C4C23×D314yes—
2076C4⋊C4C23×D314yes—
2077C4⋊C4C23×D312yes—
2078C4⋊C4C23×D312yes—
2079C22⋊C4—31no—
2080C22⋊C4—31no—
2081C22⋊C4—31no—
2082C22⋊C4—31no—
2083C22⋊C4—32no—
2084C22⋊C4—34no—
2085C22⋊C4—32no—
2086C22⋊C4—34no—
2087C22⋊C4—32no—
2088C22⋊C4—32no—
2089C22⋊C4—34no—
2090C22⋊C4—34no—
2091C22⋊C4—32no—
2092C22⋊C4—32no—
2093C22⋊C4—32no—
2094C22⋊C4—34no—
2095C22⋊C4—34no—
2096C22⋊C4—32no—
2097C22⋊C4—34no—
2098C22⋊C4—32no—
2099C22⋊C4—34no—
2100C22⋊C4—32no—
2101C22⋊C4—34no—
2102C22⋊C4—32no—
2103C22⋊C4—32no—
2104C22⋊C4—32no—
2105C22⋊C4—34no—
2106C22⋊C4—34no—
2107C22⋊C4—34no—
2108C22⋊C4—32no—
2109C22⋊C4—34no—
2110C22⋊C4—34no—
2111C22⋊C4—34no—
2112C22⋊C4—34no—
2113C22⋊C4—34no—
2114C22⋊C4—34no—
2115C22⋊C4—34no—
2116C22⋊C4—34no—
2117C22⋊C4—34no—
2118C22⋊C4—34no—
2119C22⋊C4—34no—
2120C22⋊C4—32no—
2121C22⋊C4—32no—
2122C22⋊C4—32no—
2123C22⋊C4—34no—
2124C22⋊C4—32no—
2125C22⋊C4—32no—
2126C22⋊C4—34no—
2127C22⋊C4—34no—
2128C22⋊C4—34no—
2129C22⋊C4C23×D312yes—
2130C22⋊C4C23×D312yes—
2131C22⋊C4C23×D314yes—
2132C22⋊C4C23×D314yes—
2133C22⋊C4C23×D314yes—
2134C22⋊C4C23×D314yes—
2135C22⋊C4C23×D314yes—
2136C22⋊C4C23×D314yes—
2137C22⋊C4C23×D314yes—
2138C22⋊C4C23×D314yes—
2139C22⋊C4C23×D312yes—
2140C22⋊C4C23×D314yes—
2141C22⋊C4C23×D312yes—
2142C22⋊C4C23×D312yes—
2143C22⋊C4C23×D312yes—
2144C42—32no—
2145C42—32no—
2146C42—32no—
2147C42—34no—
2148C42—32no—
2149C42—32no—
2150C42—34no—
2151C42—34no—
2152C42C23×D311yescharacteristic
2153C42C23×D311yescharacteristic
2154C42C23×D312yes—
2155C42C23×D312yes—
2156C42C23×D314yes—
2157C42C23×D312yes—
2158C22×C3—21no—
2159C22×C3—21no—
2160C22×C3—21no—
2161C22×C3—24no—
2162C22×C3—22no—
2163C22×C3—22no—
2164C22×C3—22no—
2165C22×C3—24no—
2166C22×C3—24no—
2167C22×C3—22no—
2168C22×C3—22no—
2169C22×C3—22no—
2170C22×C3—84no—
2171C22×C3C2611yescharacteristic
2172C2×D3—24no—
2173C2×D3—22no—
2174C2×D3—22no—
2175C2×D3—22no—
2176C2×D3—24no—
2177C2×D3—22no—
2178C2×D3—22no—
2179C2×D3—24no—
2180C2×D3—24no—
2181C2×D3—24no—
2182C2×D3—24no—
2183C2×D3—22no—
2184C2×D3—22no—
2185C2×D3—22no—
2186C2×D3—44no—
2187C2×D3—84no—
2188C2×D3—88no—
2189C2×D3—88no—
2190C2×D3—84no—
2191C2×D3—82no—
2192C2×D3—88no—
2193C2×D3—162no—
2194C2×D3—164no—
2195C2×D3—162no—
2196C2×D3C2×H(5,𝔽2)14yes—
2197C3×C4—22no—
2198C3×C4—21no—
2199C3×C4—24no—
2200C3×C4—21no—
2201C3×C4—21no—
2202C3×C4—24no—
2203C3×C4—22no—
2204C3×C4—24no—
2205C3×C4—22no—
2206C3×C4C2×H(5,𝔽2)12yes—
2207Dic3—22no—
2208Dic3—22no—
2209Dic3—22no—
2210Dic3—22no—
2211Dic3—22no—
2212Dic3—22no—
2213Dic3—24no—
2214Dic3—22no—
2215C23—32no—
2216C23—32no—
2217C23—32no—
2218C23—32no—
2219C23—34no—
2220C23—32no—
2221C23—42no—
2222C23—44no—
2223C23—64no—
2224C23—68no—
2225C23—64no—
2226C23—68no—
2227C23—121no—
2228C23—122no—
2229C23—121no—
2230C23—124no—
2231C23—124no—
2232C23—124no—
2233C23—124no—
2234C23—122no—
2235C23—124no—
2236C23—124no—
2237C23—124no—
2238C23—124no—
2239C23—124no—
2240C23—122no—
2241C23—122no—
2242C23—124no—
2243C23—124no—
2244C23—124no—
2245C23—124no—
2246C23—124no—
2247C23—2416no—
2248C23C24×D311yescharacteristic
2249C23C24×D311yescharacteristic
2250C23C24×D314yes—
2251C23C24×D311yescharacteristic
2252C23C24×D312yes—
2253Q8—24no—
2254Q8—42no—
2255Q8—41no—
2256Q8—41no—
2257Q8—62no—
2258Q8—122no—
2259Q8—122no—
2260Q8—124no—
2261D4—24no—
2262D4—34no—
2263D4—42no—
2264D4—42no—
2265D4—41no—
2266D4—41no—
2267D4—41no—
2268D4—41no—
2269D4—44no—
2270D4—44no—
2271D4—44no—
2272D4—42no—
2273D4—42no—
2274D4—44no—
2275D4—64no—
2276D4—68no—
2277D4—64no—
2278D4—68no—
2279D4—68no—
2280D4—64no—
2281D4—62no—
2282D4—64no—
2283D4—62no—
2284D4—122no—
2285D4—122no—
2286D4—122no—
2287D4—124no—
2288D4—124no—
2289D4—122no—
2290D4—124no—
2291D4—124no—
2292D4—124no—
2293D4—124no—
2294D4—124no—
2295D4—124no—
2296D4—124no—
2297D4—124no—
2298D4—124no—
2299D4—122no—
2300D4—124no—
2301D4—122no—
2302D4—122no—
2303D4—122no—
2304D4—124no—
2305D4—122no—
2306D4—122no—
2307D4—124no—
2308D4—122no—
2309D4—122no—
2310D4—124no—
2311D4—124no—
2312D4—124no—
2313D4—122no—
2314D4—124no—
2315D4—124no—
2316D4—124no—
2317D4—124no—
2318D4—124no—
2319D4—122no—
2320C2×C4—22no—
2321C2×C4—22no—
2322C2×C4—24no—
2323C2×C4—22no—
2324C2×C4—32no—
2325C2×C4—34no—
2326C2×C4—32no—
2327C2×C4—32no—
2328C2×C4—32no—
2329C2×C4—32no—
2330C2×C4—32no—
2331C2×C4—32no—
2332C2×C4—42no—
2333C2×C4—44no—
2334C2×C4—44no—
2335C2×C4—42no—
2336C2×C4—44no—
2337C2×C4—68no—
2338C2×C4—64no—
2339C2×C4—64no—
2340C2×C4—64no—
2341C2×C4—122no—
2342C2×C4—122no—
2343C2×C4—124no—
2344C2×C4—124no—
2345C2×C4—124no—
2346C2×C4—124no—
2347C2×C4—124no—
2348C2×C4—124no—
2349C2×C4—122no—
2350C2×C4—122no—
2351C2×C4—124no—
2352C2×C4—124no—
2353C2×C4—124no—
2354C2×C4—124no—
2355C2×C4—124no—
2356C2×C4—121no—
2357C2×C4—121no—
2358C2×C4—122no—
2359C2×C4—124no—
2360C2×C4—122no—
2361C2×C4C24×D312yes—
2362C2×C4C24×D311yescharacteristic
2363C2×C4C24×D312yes—
2364C2×C4C24×D314yes—
2365C2×C4C24×D314yes—
2366C2×C4C24×D312yes—
2367C2×C4C24×D311yescharacteristic
2368C2×C4C24×D314yes—
2369C2×C4C24×D311yescharacteristic
2370C2×C4C24×D311yescharacteristic
2371C2×C3—41no—
2372C2×C3—41no—
2373C2×C3—44no—
2374C2×C3—42no—
2375C2×C3—41no—
2376C2×C3C22×H(5,𝔽2)11yescharacteristic
2377C2×C3H(7,𝔽2)12yes—
2378D3—24no—
2379D3—42no—
2380D3—42no—
2381D3—42no—
2382D3—42no—
2383D3—44no—
2384C22—21no—
2385C22—21no—
2386C22—21no—
2387C22—22no—
2388C22—24no—
2389C22—22no—
2390C22—22no—
2391C22—24no—
2392C22—22no—
2393C22—24no—
2394C22—22no—
2395C22—22no—
2396C22—34no—
2397C22—64no—
2398C22—62no—
2399C22—62no—
2400C22—62no—
2401C22—64no—
2402C22—62no—
2403C22—64no—
2404C22—62no—
2405C22—64no—
2406C22—64no—
2407C22—64no—
2408C22—62no—
2409C22—62no—
2410C22—62no—
2411C22—84no—
2412C22—124no—
2413C22—244no—
2414C22—248no—
2415C22—244no—
2416C22—248no—
2417C22—248no—
2418C22—242no—
2419C22—484no—
2420C22—482no—
2421C22—482no—
2422C22C25×D311yescharacteristic
2423C4—22no—
2424C4—21no—
2425C4—21no—
2426C4—21no—
2427C4—24no—
2428C4—22no—
2429C4—24no—
2430C4—24no—
2431C4—22no—
2432C4—62no—
2433C4—62no—
2434C4—62no—
2435C4—62no—
2436C4—62no—
2437C4—62no—
2438C4—64no—
2439C4—62no—
2440C4D3×H(5,𝔽2)12yes—
2441C3#6304111yescharacteristic, complemented, Sylow
2442C2—41no—
2443C2—44no—
2444C2—41no—
2445C2—42no—
2446C2—41no—
2447C2—64no—
2448C2—122no—
2449C2—122no—
2450C2—122no—
2451C2—124no—
2452C2—122no—
2453C2C2×D3×H(5,𝔽2)11yescharacteristic
2454C2#8757412yes—
subgroupG/H
center, FrattiniC22C25×D3
commutator, socle, cosocleC22×C3C26
FittingC3×#3551C2
hypercenter#3551D3
hypocenterC3#63041
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ #3551

Complements

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

NH ≅ G/Ntype
1. C3×#3551C2semidirect
2. #87135C2semidirect
3. #87083C2semidirect
4. D3×#560C2semidirect
5. #86966C2semidirect
6. #86895C2semidirect
7. #86888C2semidirect
8. #86866C2semidirect
9. #86834C2semidirect
10. #86820C2semidirect
11. #86818C2semidirect
12. #86732C2semidirect
13. #86713C2semidirect
14. #86662C2semidirect
15. #86653C2semidirect
16. #86491C2semidirect
17. #86490C2semidirect
18. #86421C2semidirect
19. #86418C2semidirect
20. #86382C2semidirect
21. #86372C2semidirect
22. #86354C2semidirect
23. #86345C2semidirect
24. #86334C2semidirect
25. #86330C2semidirect
26. #86248C2semidirect
27. #86242C2semidirect
28. #86172C2semidirect
29. #86169C2semidirect
31. C2×#1009C22semidirect
32. C2×#1009C22semidirect
33. C2×#1009C22semidirect
34. C22×#239C22semidirect
35. C22×D3×D4C22semidirect
36. C3×#563C22semidirect
37. C3×#560C22semidirect
38. C3×#555C22semidirect
39. C3×#553C22semidirect
40. C3×#552C22semidirect
41. C3×#551C22semidirect
42. C3×#548C22semidirect
43. C3×#546C22semidirect
44. C3×#540C22semidirect
45. C3×#538C22semidirect
46. C3×#537C22semidirect
47. C3×#536C22semidirect
48. C3×#535C22semidirect
49. C3×#532C22semidirect
50. C3×#529C22semidirect
51. #5834C22semidirect
52. #5832C22semidirect
53. #5832C22semidirect
54. #5830C22semidirect
55. #5830C22semidirect
56. #5829C22semidirect
57. #5828C22semidirect
58. #5828C22semidirect
59. #5817C22semidirect
60. #5816C22semidirect
61. #5805C22semidirect
62. D4×#67C22semidirect
63. #5735C22semidirect
64. #5733C22semidirect
65. #5726C22semidirect
66. #5725C22semidirect
67. #5720C22semidirect
68. #5720C22semidirect
69. #5720C22semidirect
70. #5717C22semidirect
71. #5717C22semidirect
72. D3×#127C22semidirect
73. #5711C22semidirect
74. #5711C22semidirect
75. #5711C22semidirect
76. #5709C22semidirect
77. #5707C22semidirect
78. #5706C22semidirect
79. #5705C22semidirect
80. #5705C22semidirect
81. #5704C22semidirect
82. #5704C22semidirect
83. #5704C22semidirect
84. D3×#126C22semidirect
85. #5697C22semidirect
86. #5697C22semidirect
87. #5695C22semidirect
88. #5695C22semidirect
89. #5694C22semidirect
90. #5692C22semidirect
91. #5692C22semidirect
92. #5690C22semidirect
93. #5684C22semidirect
94. #5684C22semidirect
95. #5683C22semidirect
96. #5683C22semidirect
97. #5679C22semidirect
98. #5678C22semidirect
99. #5678C22semidirect
100. #5676C22semidirect
101. #5676C22semidirect
102. #5676C22semidirect
103. #5676C22semidirect
104. #5674C22semidirect
105. #5674C22semidirect
106. #5674C22semidirect
107. #5674C22semidirect
108. #5674C22semidirect
109. #5672C22semidirect
110. #5671C22semidirect
111. #5667C22semidirect
112. #5666C22semidirect
113. #5666C22semidirect
114. #5664C22semidirect
115. #5663C22semidirect
116. #5661C22semidirect
117. #5660C22semidirect
118. #5657C22semidirect
119. #5657C22semidirect
120. #5657C22semidirect
121. #5657C22semidirect
122. #5654C22semidirect
123. #5654C22semidirect
124. #5654C22semidirect
125. #5653C22semidirect
126. #5653C22semidirect
127. #5653C22semidirect
128. #5653C22semidirect
129. #5653C22semidirect
130. #5653C22semidirect
131. D3×#123C22semidirect
132. D3×#123C22semidirect
133. D3×#123C22semidirect
134. #5644C22semidirect
135. #5643C22semidirect
136. #5641C22semidirect
137. #5640C22semidirect
138. #5638C22semidirect
139. #5637C22semidirect
140. #5631C22semidirect
141. #5631C22semidirect
142. #5631C22semidirect
143. #5631C22semidirect
144. #5630C22semidirect
145. #5630C22semidirect
146. #5630C22semidirect
147. #5630C22semidirect
148. #5630C22semidirect
149. #5630C22semidirect
150. #5629C22semidirect
151. #5629C22semidirect
152. #5627C22semidirect
153. #5624C22semidirect
154. #5621C22semidirect
155. #5621C22semidirect
156. #5620C22semidirect
157. #5620C22semidirect
158. #5620C22semidirect
159. #5620C22semidirect
160. #5620C22semidirect
161. #5620C22semidirect
162. #5620C22semidirect
163. #5619C22semidirect
164. #5615C22semidirect
165. #5614C22semidirect
166. #5613C22semidirect
167. #5612C22semidirect
168. #5612C22semidirect
169. #5612C22semidirect
170. #5612C22semidirect
171. #5610C22semidirect
172. #5610C22semidirect
173. #5609C22semidirect
174. #5609C22semidirect
175. #5609C22semidirect
176. #5609C22semidirect
177. #5609C22semidirect
178. #5609C22semidirect
179. #5609C22semidirect
180. #5609C22semidirect
181. #5609C22semidirect
182. #5608C22semidirect
183. #5607C22semidirect
184. #5607C22semidirect
185. #5607C22semidirect
186. #5605C22semidirect
187. #5605C22semidirect
188. #5605C22semidirect
189. D3×#121C22semidirect
190. D3×#121C22semidirect
191. D3×#121C22semidirect
192. D3×#121C22semidirect
193. D3×#121C22semidirect
194. #5599C22semidirect
195. #5596C22semidirect
196. #5595C22semidirect
197. #5595C22semidirect
198. #5592C22semidirect
199. #5590C22semidirect
200. #5590C22semidirect
201. #5589C22semidirect
202. #5589C22semidirect
203. #5589C22semidirect
204. D3×#120C22semidirect
205. D3×#120C22semidirect
206. D3×#120C22semidirect
207. #5585C22semidirect
208. #5583C22semidirect
209. #5577C22semidirect
210. #5574C22semidirect
211. #5562C22semidirect
212. #5561C22semidirect
213. #5560C22semidirect
214. #5558C22semidirect
215. #5558C22semidirect
216. #5556C22semidirect
217. #5554C22semidirect
218. #5553C22semidirect
219. #5553C22semidirect
220. #5553C22semidirect
221. #5550C22semidirect
222. #5550C22semidirect
223. D4×D12C22semidirect
224. D4×D12C22semidirect
225. D4×D12C22semidirect
226. D4×D12C22semidirect
227. D4×D12C22semidirect
228. #5547C22semidirect
229. #5547C22semidirect
230. #5547C22semidirect
231. #5547C22semidirect
232. #5545C22semidirect
233. #5538C22semidirect
234. #5538C22semidirect
235. #5535C22semidirect
236. #5535C22semidirect
237. #5532C22semidirect
238. #5530C22semidirect
239. #5530C22semidirect
240. #5529C22semidirect
241. #5527C22semidirect
242. #5527C22semidirect
243. #5525C22semidirect
244. #5524C22semidirect
245. #5524C22semidirect
246. #5524C22semidirect
247. #5521C22semidirect
248. #5521C22semidirect
249. #5514C22semidirect
250. #5510C22semidirect
251. #5507C22semidirect
252. C2×#893C22semidirect
253. #5494C22semidirect
254. #5490C22semidirect
255. #5490C22semidirect
256. C2×#882C22semidirect
257. #5479C22semidirect
258. C2×#874C22semidirect
259. C4×#235C22semidirect
262. #3551D3semidirect
292. C2×C3×#41C23semidirect
293. C22×C3×Q8C23semidirect
304. C2×#239C23semidirect
305. C2×#239C23semidirect
306. C2×#239C23semidirect
307. C2×#237C23semidirect
322. C2×D3×D4C23semidirect
323. C2×D3×D4C23semidirect
324. C2×D3×D4C23semidirect
325. C2×D3×D4C23semidirect
326. C2×D3×D4C23semidirect
332. C2×#235C23semidirect
333. C2×#235C23semidirect
334. C2×#235C23semidirect
341. C22×D12C23semidirect
342. C22×D12C23semidirect
343. C22×D12C23semidirect
345. C22×C4×D3C23semidirect
346. C22×C4×D3C23semidirect
347. C22×C4×D3C23semidirect
348. C3×C4⋊Q8C23semidirect
349. C3×C4⋊Q8C23semidirect
353. C3×#126C23semidirect
354. C3×#126C23semidirect
355. C3×#125C23semidirect
356. C3×#125C23semidirect
361. C3×#124C23semidirect
362. C3×#124C23semidirect
366. C3×#123C23semidirect
367. C3×#123C23semidirect
368. C3×#123C23semidirect
370. C3×C22⋊Q8C23semidirect
371. C3×C22⋊Q8C23semidirect
372. C3×C22⋊Q8C23semidirect
373. C3×C22⋊Q8C23semidirect
379. C3×#121C23semidirect
380. C3×#121C23semidirect
381. C3×#121C23semidirect
382. C3×#121C23semidirect
383. C3×#121C23semidirect
384. C3×#121C23semidirect
388. C3×C4×Q8C23semidirect
391. C3×C4×D4C23semidirect
392. C3×C4×D4C23semidirect
393. C3×C4×D4C23semidirect
394. C3×C4×D4C23semidirect
396. C3×#117C23semidirect
397. C3×#117C23semidirect
398. C3×#117C23semidirect
399. C2×C3×C4⋊C4C23semidirect
401. C2×C3×C42C23semidirect
408. #947C23semidirect
409. #947C23semidirect
410. #947C23semidirect
413. #946C23semidirect
414. #946C23semidirect
415. #946C23semidirect
416. Q8×Dic3C23semidirect
417. #944C23semidirect
418. #944C23semidirect
425. #940C23semidirect
426. #940C23semidirect
427. #940C23semidirect
436. #939C23semidirect
437. #939C23semidirect
438. #939C23semidirect
439. #939C23semidirect
440. #939C23semidirect
441. #939C23semidirect
442. #939C23semidirect
449. #938C23semidirect
450. #938C23semidirect
451. #938C23semidirect
452. #938C23semidirect
466. #937C23semidirect
467. #937C23semidirect
468. #937C23semidirect
469. #937C23semidirect
470. #937C23semidirect
471. #937C23semidirect
473. #936C23semidirect
478. #935C23semidirect
479. #935C23semidirect
480. #935C23semidirect
489. #930C23semidirect
490. #930C23semidirect
491. #930C23semidirect
492. #930C23semidirect
493. #930C23semidirect
496. #929C23semidirect
497. #929C23semidirect
498. #929C23semidirect
499. #929C23semidirect
500. #929C23semidirect
506. C4×#67C23semidirect
507. C4×#67C23semidirect
508. C4×#67C23semidirect
509. C4×#67C23semidirect
510. C4×#67C23semidirect
511. C4×#67C23semidirect
512. C4×#67C23semidirect
513. C4×#67C23semidirect
516. C2×(C2×D3)⋊C4C23semidirect
518. #926C23semidirect
519. #926C23semidirect
520. #924C23semidirect
521. #924C23semidirect
522. C2×C4×Dic3C23semidirect
527. #898C23semidirect
528. #898C23semidirect
529. #898C23semidirect
530. #898C23semidirect
532. #897C23semidirect
533. #897C23semidirect
534. #897C23semidirect
535. #897C23semidirect
537. #896C23semidirect
538. #896C23semidirect
539. #896C23semidirect
540. #896C23semidirect
541. #896C23semidirect
553. #895C23semidirect
554. #895C23semidirect
555. #895C23semidirect
556. #895C23semidirect
557. #895C23semidirect
558. #895C23semidirect
559. #895C23semidirect
567. #894C23semidirect
568. #894C23semidirect
569. #894C23semidirect
570. #894C23semidirect
571. #894C23semidirect
572. #894C23semidirect
573. #894C23semidirect
574. #894C23semidirect
575. #894C23semidirect
576. #894C23semidirect
577. #894C23semidirect
578. #894C23semidirect
583. #893C23semidirect
584. #893C23semidirect
585. #893C23semidirect
586. #893C23semidirect
587. #893C23semidirect
588. #893C23semidirect
589. #893C23semidirect
590. #893C23semidirect
592. #892C23semidirect
593. #892C23semidirect
594. D3×C4⋊C4C23semidirect
595. D3×C4⋊C4C23semidirect
596. D3×C4⋊C4C23semidirect
597. D3×C4⋊C4C23semidirect
598. D3×C4⋊C4C23semidirect
599. D3×C4⋊C4C23semidirect
600. #890C23semidirect
601. #890C23semidirect
602. #889C23semidirect
603. #889C23semidirect
604. #889C23semidirect
605. #888C23semidirect
606. #887C23semidirect
609. #886C23semidirect
610. #886C23semidirect
611. #886C23semidirect
612. #886C23semidirect
618. #885C23semidirect
619. #885C23semidirect
620. #885C23semidirect
635. #884C23semidirect
636. #884C23semidirect
637. #884C23semidirect
638. #884C23semidirect
639. #884C23semidirect
640. #884C23semidirect
641. #884C23semidirect
642. #884C23semidirect
643. #884C23semidirect
644. #884C23semidirect
645. #884C23semidirect
653. #883C23semidirect
654. #883C23semidirect
655. #883C23semidirect
656. #883C23semidirect
657. #883C23semidirect
675. #882C23semidirect
676. #882C23semidirect
677. #882C23semidirect
678. #882C23semidirect
679. #882C23semidirect
680. #882C23semidirect
681. #882C23semidirect
682. #882C23semidirect
685. #67⋊C4C23semidirect
686. #67⋊C4C23semidirect
687. #67⋊C4C23semidirect
695. D3×C22⋊C4C23semidirect
696. D3×C22⋊C4C23semidirect
697. D3×C22⋊C4C23semidirect
698. D3×C22⋊C4C23semidirect
699. D3×C22⋊C4C23semidirect
700. D3×C22⋊C4C23semidirect
701. D3×C22⋊C4C23semidirect
703. #879C23semidirect
704. #879C23semidirect
705. #879C23semidirect
706. #879C23semidirect
707. #879C23semidirect
708. #879C23semidirect
710. #878C23semidirect
711. #878C23semidirect
712. #878C23semidirect
713. #878C23semidirect
714. #877C23semidirect
717. #876C23semidirect
718. #876C23semidirect
721. #875C23semidirect
724. #874C23semidirect
725. #874C23semidirect
726. #874C23semidirect
731. C4×D12C23semidirect
732. C4×D12C23semidirect
733. C4×D12C23semidirect
734. C4×D12C23semidirect
735. C4×D12C23semidirect
736. C4×D12C23semidirect
738. #872C23semidirect
739. #872C23semidirect
740. #872C23semidirect
741. #872C23semidirect
742. C42×D3C23semidirect
743. #870C23semidirect
744. #870C23semidirect
745. C4×Dic6C23semidirect
746. C4×Dic6C23semidirect
754. #563C2×D3semidirect
779. #560C2×D3semidirect
785. #555C2×D3semidirect
797. #553C2×D3semidirect
800. #552C2×D3semidirect
808. #551C2×D3semidirect
816. #548C2×D3semidirect
848. #546C2×D3semidirect
881. #540C2×D3semidirect
900. #538C2×D3semidirect
905. #537C2×D3semidirect
907. #536C2×D3semidirect
921. #535C2×D3semidirect
938. #532C2×D3semidirect
946. #529C2×D3semidirect
1282. C2×#41C22×D3semidirect
1283. C22×Q8C22×D3semidirect
1322. C4⋊Q8C22×D3semidirect
1323. C4⋊Q8C22×D3semidirect
1360. #126C22×D3semidirect
1361. #126C22×D3semidirect
1369. #125C22×D3semidirect
1370. #125C22×D3semidirect
1394. #124C22×D3semidirect
1395. #124C22×D3semidirect
1450. #123C22×D3semidirect
1451. #123C22×D3semidirect
1452. #123C22×D3semidirect
1477. C22⋊Q8C22×D3semidirect
1478. C22⋊Q8C22×D3semidirect
1479. C22⋊Q8C22×D3semidirect
1480. C22⋊Q8C22×D3semidirect
1566. #121C22×D3semidirect
1567. #121C22×D3semidirect
1568. #121C22×D3semidirect
1569. #121C22×D3semidirect
1570. #121C22×D3semidirect
1571. #121C22×D3semidirect
1626. C4×Q8C22×D3semidirect
1670. C4×D4C22×D3semidirect
1671. C4×D4C22×D3semidirect
1672. C4×D4C22×D3semidirect
1673. C4×D4C22×D3semidirect
1687. #117C22×D3semidirect
1688. #117C22×D3semidirect
1689. #117C22×D3semidirect
1696. C2×C4⋊C4C22×D3semidirect
1717. C2×C42C22×D3semidirect
2441. C3#63041semidirect

Maximal subgroups

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

subgroupindex
C3×#35512
#871352
#870832
D3×#5602
#869662
#868952
#868882
#868662
#868342
#868202
#868182
#867322
#867132
#866622
#866532
#864912
#864902
#864212
#864182
#863822
#863722
#863542
#863452
#863342
#863302
#862482
#862422
#861722
#861692
#630413