Finite Group Databasebeta

← #11675397

Subgroups — #11675397

Order 768.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1646 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86983C211yesmaximal, characteristic, complemented
2#86949C211yesmaximal, characteristic, complemented
3C3×#3376C211yesmaximal, characteristic, complemented
4#83669C211yesmaximal, characteristic, complemented
5#83644C211yesmaximal, characteristic, complemented
6#81739C211yesmaximal, characteristic, complemented
7#81732C211yesmaximal, characteristic, complemented
8#81681C211yesmaximal, characteristic, complemented
9#81670C211yesmaximal, characteristic, complemented
10#81639C211yesmaximal, characteristic, complemented
11#81632C211yesmaximal, characteristic, complemented
12#81232C211yesmaximal, characteristic, complemented
13#81219C211yesmaximal, characteristic, complemented
14#81165C211yesmaximal, characteristic, complemented
15#81154C211yesmaximal, characteristic, complemented
16#81037C211yesmaximal, characteristic, complemented
17#81013C211yesmaximal, characteristic, complemented
18#80537C211yesmaximal, characteristic
19#80537C211yesmaximal, characteristic
20#80518C211yesmaximal, characteristic, complemented
21#80516C211yesmaximal, characteristic, complemented
22D3×#461C211yesmaximal, characteristic, complemented
23#80418C211yesmaximal, characteristic, complemented
24#79972C211yesmaximal, characteristic, complemented
25#79961C211yesmaximal, characteristic, complemented
26#79865C211yesmaximal, characteristic
27#79854C211yesmaximal, characteristic, complemented
28#79777C211yesmaximal, characteristic, complemented
29#79755C211yesmaximal, characteristic, complemented
30#79649C211yesmaximal, characteristic, complemented
31#79619C211yesmaximal, characteristic, complemented
32#61340—31nomaximal, Sylow
33C3×#556C2211yescharacteristic, complemented
34C3×#554C2211yescharacteristic
35C2×D3×SD16C2211yescharacteristic
36C2×D3×SD16C2211yescharacteristic
37C2×#911C2211yescharacteristic
38#5729C2211yescharacteristic
39#5727C2211yescharacteristic
40D3×C4⋊Q8C2211yescharacteristic
41#5721C2211yescharacteristic, complemented
42#5708—21no—
43#5708—21no—
44#5701—21no—
45#5701—21no—
46#5690C2211yescharacteristic
47#5690C2211yescharacteristic
48#5689C2211yescharacteristic
49#5688C2211yescharacteristic
50#5675C2211yescharacteristic
51#5675C2211yescharacteristic
52#5671C2211yescharacteristic, complemented
53#5671C2211yescharacteristic, complemented
54#5639—21no—
55#5636—21no—
56#5636—21no—
57#5634—21no—
58#5634—21no—
59#5632—21no—
60D3×C22⋊Q8—21no—
61#5622—21no—
62#5579C2211yescharacteristic
63#5578C2211yescharacteristic
64#5572C2211yescharacteristic
65#5572C2211yescharacteristic
66#5570C2211yescharacteristic, complemented
67#5567C2211yescharacteristic, complemented
68#5567C2211yescharacteristic, complemented
69#5545C2211yescharacteristic
70#5545C2211yescharacteristic
71C4×D3×D4C2211yescharacteristic
72#5542C2211yescharacteristic, complemented
73#5539C2211yescharacteristic
74#5539C2211yescharacteristic
75D4×Dic6C2211yescharacteristic
76C4×#237C2211yescharacteristic
77#5529—21no—
78#5517—21no—
79#5511—21no—
80C2×#896—21no—
81C3×#491C2211yescharacteristic, complemented
82C3×#489C2211yescharacteristic, complemented
83C3×#488C2211yescharacteristic, complemented
84C3×#479C2211yescharacteristic, complemented
85C3×#478C2211yescharacteristic, complemented
86C3×#475C2211yescharacteristic, complemented
87C3×#463C2211yescharacteristic
88C3×#463C2211yescharacteristic
89C3×#461C2211yescharacteristic
90C3×#446C2211yescharacteristic, complemented
91C3×#442C2211yescharacteristic
92C3×#440C2211yescharacteristic
93C3×C4×SD16C2211yescharacteristic
94#5164C2211yescharacteristic
95#5162C2211yescharacteristic
96#5162C2211yescharacteristic
97#5162C2211yescharacteristic
98#5162C2211yescharacteristic
99Dic3×SD16C2211yescharacteristic
100#5153C2211yescharacteristic
101#5153C2211yescharacteristic
102Dic3×D8C2211yescharacteristic
103#5093C2211yescharacteristic, complemented
104#5091C2211yescharacteristic, complemented
105#5083C2211yescharacteristic
106#5082C2211yescharacteristic, complemented
107#5069C2211yescharacteristic, complemented
108#5069C2211yescharacteristic, complemented
109#5063C2211yescharacteristic, complemented
110#5063C2211yescharacteristic, complemented
111#5057C2211yescharacteristic
112#5057C2211yescharacteristic
113#5056C2211yescharacteristic, complemented
114#5055C2211yescharacteristic, complemented
115#5026C2211yescharacteristic
116C4×#215C2211yescharacteristic
117#5024C2211yescharacteristic, complemented
118#5022C2211yescharacteristic, complemented
119#5020C2211yescharacteristic, complemented
120#5019C2211yescharacteristic
121#5019C2211yescharacteristic
122#5019C2211yescharacteristic
123#5018C2211yescharacteristic
124#5018C2211yescharacteristic
125C4×#214C2211yescharacteristic
126#5014C2211yescharacteristic
127#5009C2211yescharacteristic, complemented
128#4889C2211yescharacteristic
129#4880C2211yescharacteristic
130#4877C2211yescharacteristic, complemented
131#4875C2211yescharacteristic, complemented
132#4861C2211yescharacteristic
133#4860C2211yescharacteristic
134#4857C2211yescharacteristic, complemented
135#4854C2211yescharacteristic, complemented
136#4854C2211yescharacteristic, complemented
137#4854C2211yescharacteristic, complemented
138#4852C2211yescharacteristic
139#4852C2211yescharacteristic
140#4850C2211yescharacteristic, complemented
141#4841C2211yescharacteristic
142#4841C2211yescharacteristic
143#4841C2211yescharacteristic
144#4839C2211yescharacteristic
145#4839C2211yescharacteristic
146D3×C4⋊C8C2211yescharacteristic
147#4830C2211yescharacteristic, complemented
148#4829C2211yescharacteristic, complemented
149#4829C2211yescharacteristic, complemented
150#4828C2211yescharacteristic, complemented
151#4828C2211yescharacteristic, complemented
152#4818C2211yescharacteristic
153#4818C2211yescharacteristic
154#4818C2211yescharacteristic
155#4818C2211yescharacteristic
156#4817C2211yescharacteristic
157#4802C2211yescharacteristic
158#4802C2211yescharacteristic
159#4802C2211yescharacteristic
160#4802C2211yescharacteristic
161D3×#103C2211yescharacteristic
162D3×#103C2211yescharacteristic
163#4799C2211yescharacteristic, complemented
164#4797C2211yescharacteristic, complemented
165#4797C2211yescharacteristic, complemented
166#4796C2211yescharacteristic, complemented
167#4793C2211yescharacteristic, complemented
168#4793C2211yescharacteristic, complemented
169#4792C2211yescharacteristic, complemented
170#4792C2211yescharacteristic, complemented
171#4792C2211yescharacteristic, complemented
172#4792C2211yescharacteristic, complemented
173#4792C2211yescharacteristic, complemented
174#4792C2211yescharacteristic, complemented
175#4788C2211yescharacteristic
176#4787C2211yescharacteristic
177#4787C2211yescharacteristic
178#4772C2211yescharacteristic
179#4772C2211yescharacteristic
180#4771C2211yescharacteristic
181#4770C2211yescharacteristic
182#4768C2211yescharacteristic, complemented
183#4768C2211yescharacteristic, complemented
184#4765C2211yescharacteristic, complemented
185#4765C2211yescharacteristic, complemented
186#4761C2211yescharacteristic, complemented
187#4759C2211yescharacteristic, complemented
188#4758C2211yescharacteristic
189#4758C2211yescharacteristic
190#4757C2211yescharacteristic
191#4756C2211yescharacteristic
192#4710C2211yescharacteristic
193#4710C2211yescharacteristic
194#4708C2211yescharacteristic
195#4707C2211yescharacteristic
196#4703C2211yescharacteristic, complemented
197#4703C2211yescharacteristic, complemented
198#4701C2211yescharacteristic, complemented
199#4701C2211yescharacteristic, complemented
200C4×#204C2211yescharacteristic
201#4689C2211yescharacteristic
202#4681C2211yescharacteristic, complemented
203C8×Dic6C2211yescharacteristic, complemented
204#3509—31no—
205#3501—31no—
206#3376—31no—
207#3376—31no—
208#3376—31no—
209#3376D311yescharacteristic, complemented
210#3372—31no—
211#3372—31no—
212#3372—31no—
213#3372—31no—
214#3372—31no—
215#3372—31no—
216#3367—31no—
217#3367—31no—
218#3360—31no—
219#3360—31no—
220#3359—31no—
221#3359—31no—
222#3139—31no—
223#3137—31no—
224#3137—31no—
225#3082—31no—
226#3082—31no—
227#3076—31no—
228#3042—31no—
229#3042—31no—
230C2×#461—31no—
231#2962—31no—
232#2949—31no—
233#2949—31no—
234C4×AGL(1,ℤ/8)—31no—
235C2×D3×Q8—21no—
236C2×D3×Q8C2311yescharacteristic
237C2×D3×Q8C2311yescharacteristic
238C2×#237C2311yescharacteristic
239C2×D3×D4C2311yescharacteristic
240C22×C4×D3—21no—
241C22×Dic6—21no—
242C2×C3×SD16C2311yescharacteristic
243C2×C3×SD16C2311yescharacteristic
244C2×C3×D8C2311yescharacteristic
245C3×C4⋊Q8C2311yescharacteristic
246C3×C4⋊Q8C2311yescharacteristic
247C3×#126—21no—
248C3×#126—21no—
249C3×#125C2311yescharacteristic
250C3×#125C2311yescharacteristic
251C3×#124C2311yescharacteristic
252C3×#124C2311yescharacteristic
253C3×C22⋊Q8—21no—
254C3×C22⋊Q8—21no—
255C3×C22⋊Q8—21no—
256C3×C22⋊Q8—21no—
257C3×C4×Q8C2311yescharacteristic
258C3×C4×Q8C2311yescharacteristic
259C3×C4×Q8C2311yescharacteristic
260C3×C4×D4C2311yescharacteristic
261C3×C4×D4C2311yescharacteristic
262C3×C4×D4C2311yescharacteristic
263C3×C4×D4C2311yescharacteristic
264C3×#117—21no—
265C2×C3×C4⋊C4—21no—
266#946—21no—
267#946—21no—
268#946—21no—
269#946D411yescharacteristic
270Q8×Dic3—21no—
271Q8×Dic3C2311yescharacteristic
272Q8×Dic3C2311yescharacteristic
273#944—21no—
274#944D411yescharacteristic
275#944C2311yescharacteristic
276#944C2311yescharacteristic
277#944C2311yescharacteristic
278#944C2311yescharacteristic
279C2×#215C2311yescharacteristic
280C2×#215C2311yescharacteristic
281#936C2311yescharacteristic
282#936C2311yescharacteristic
283D4×Dic3C2311yescharacteristic
284D4×Dic3C2311yescharacteristic
285D4×Dic3C2311yescharacteristic
286D4×Dic3C2311yescharacteristic
287C2×#214C2311yescharacteristic
288C2×#214C2311yescharacteristic
289C2×#214C2311yescharacteristic
290C2×#213C2311yescharacteristic
291C4×#67—21no—
292C4×#67—21no—
293C4×#67—21no—
294C4×#67—21no—
295C2×(C2×D3)⋊C4—21no—
296C2×(C2×D3)⋊C4—21no—
297#926—21no—
298#924—21no—
299#924—21no—
300#924—21no—
301#924—21no—
302C2×Dic3⋊C4—21no—
303C2×Dic3⋊C4—21no—
304C2×C4×Dic3—21no—
305D3×SD16—24no—
306D3×SD16—24no—
307#911—24no—
308C2×#204C2311yescharacteristic
309C2×#204C2311yescharacteristic
310C2×#204C2311yescharacteristic
311C2×ΓL(1,𝔽25)C2311yescharacteristic
312C2×ΓL(1,𝔽25)C2311yescharacteristic
313C2×D3×C8C2311yescharacteristic
314C2×D3×C8C2311yescharacteristic
315#897—21no—
316#897—21no—
317#897—21no—
318#897D411yescharacteristic
319#896—21no—
320#896—21no—
321#896—21no—
322#896—21no—
323#896—21no—
324#896—21no—
325#896—21no—
326#896—21no—
327#896—21no—
328#896—21no—
329#896—21no—
330#896—21no—
331#896D411yescharacteristic
332#896D411yescharacteristic
333#893C2311yescharacteristic
334#893C2311yescharacteristic
335#893C2311yescharacteristic
336#892—21no—
337#892—21no—
338#892C2311yescharacteristic
339#892C2311yescharacteristic
340#892C2311yescharacteristic
341D3×C4⋊C4—21no—
342D3×C4⋊C4—21no—
343D3×C4⋊C4—21no—
344D3×C4⋊C4—21no—
345D3×C4⋊C4—21no—
346D3×C4⋊C4C2311yescharacteristic
347#890—21no—
348#890—21no—
349#890—21no—
350#890—21no—
351#890C2311yescharacteristic
352#890C2311yescharacteristic
353#889—21no—
354#889—21no—
355#889—21no—
356#889—21no—
357#889—21no—
358#889—21no—
359#889—21no—
360#889—21no—
361#889D411yescharacteristic
362#889D411yescharacteristic
363#888—21no—
364#888—21no—
365#888—21no—
366#888D411yescharacteristic
367#888C2311yescharacteristic
368#888C2311yescharacteristic
369#888C2311yescharacteristic
370#888C2311yescharacteristic
371#887—21no—
372#887—21no—
373#887—21no—
374#887—21no—
375#887—21no—
376#887C2311yescharacteristic
377#887C2311yescharacteristic
378#887C2311yescharacteristic
379#883—21no—
380#883—21no—
381#883—21no—
382#883—21no—
383#67⋊C4—21no—
384#67⋊C4—21no—
385#67⋊C4—21no—
386#67⋊C4—21no—
387D3×C22⋊C4—21no—
388D3×C22⋊C4—21no—
389D3×C22⋊C4—21no—
390#879—21no—
391#879—21no—
392#879—21no—
393#879—21no—
394#879—21no—
395#879—21no—
396#878—21no—
397#878—21no—
398#878—21no—
399#878—21no—
400#878—21no—
401#878—21no—
402#878—21no—
403#878—21no—
404#878—21no—
405#878—21no—
406#878—21no—
407#878—21no—
408#877—21no—
409#877—21no—
410#877—21no—
411C4×D12C2311yescharacteristic
412C4×D12C2311yescharacteristic
413C4×D12C2311yescharacteristic
414#872—21no—
415#872—21no—
416#872C2311yescharacteristic
417#872C2311yescharacteristic
418C42×D3C2311yescharacteristic
419#870—21no—
420#870—21no—
421#870C2311yescharacteristic
422#870C2311yescharacteristic
423#869C2311yescharacteristic
424#869C2311yescharacteristic
425#869C2311yescharacteristic
426#869C2311yescharacteristic
427C4×Dic6—21no—
428C4×Dic6—21no—
429C4×Dic6—21no—
430C4×Dic6—21no—
431C4×Dic6C2311yescharacteristic
432C4×Dic6C2311yescharacteristic
433C4×Dic6C2311yescharacteristic
434C4×Dic6C2311yescharacteristic
435C4×Dic6C2311yescharacteristic
436C4×Dic6C2311yescharacteristic
437C3×#107C2311yescharacteristic
438C3×#106C2311yescharacteristic
439C3×#106C2311yescharacteristic
440C3×C4⋊C8C2311yescharacteristic
441C3×C4⋊C8C2311yescharacteristic
442C3×C4⋊C8C2311yescharacteristic
443C3×#103C2311yescharacteristic
444C3×#103C2311yescharacteristic
445C3×#103C2311yescharacteristic
446C3×#103C2311yescharacteristic
447C3×#103C2311yescharacteristic
448C3×#103C2311yescharacteristic
449C3×#102C2311yescharacteristic
450C3×#102C2311yescharacteristic
451C3×#102C2311yescharacteristic
452C3×#102C2311yescharacteristic
453C3×#97C2311yescharacteristic
454C3×#97C2311yescharacteristic
455C3×C4×C8C2311yescharacteristic
456#835C2311yescharacteristic
457#835C2311yescharacteristic
458#835C2311yescharacteristic
459#835C2311yescharacteristic
460#835C2311yescharacteristic
461#835C2311yescharacteristic
462#832C2311yescharacteristic
463#832C2311yescharacteristic
464#832C2311yescharacteristic
465#832C2311yescharacteristic
466#821C2311yescharacteristic
467#818C2311yescharacteristic
468#818C2311yescharacteristic
469#817C2311yescharacteristic
470#816C2311yescharacteristic
471#816C2311yescharacteristic
472#816C2311yescharacteristic
473#816C2311yescharacteristic
474#816C2311yescharacteristic
475#816C2311yescharacteristic
476#816C2311yescharacteristic
477#816C2311yescharacteristic
478#816C2311yescharacteristic
479#815C2311yescharacteristic
480#815C2311yescharacteristic
481Dic3⋊C8C2311yescharacteristic
482Dic3⋊C8C2311yescharacteristic
483Dic3⋊C8C2311yescharacteristic
484Dic3⋊C8C2311yescharacteristic
485Dic3⋊C8C2311yescharacteristic
486Dic3⋊C8C2311yescharacteristic
487C8×Dic3C2311yescharacteristic
488C8×Dic3C2311yescharacteristic
489C8×Dic3C2311yescharacteristic
490C8×Dic3C2311yescharacteristic
491#810C2311yescharacteristic
492#810C2311yescharacteristic
493#810C2311yescharacteristic
494#810C2311yescharacteristic
495#810C2311yescharacteristic
496#810C2311yescharacteristic
497#810C2311yescharacteristic
498#810C2311yescharacteristic
499#810C2311yescharacteristic
500#809C2311yescharacteristic
501#808C2311yescharacteristic
502#808C2311yescharacteristic
503#808C2311yescharacteristic
504#807C2311yescharacteristic
505#807C2311yescharacteristic
506#807C2311yescharacteristic
507C4⋊(C3⋊C8)C2311yescharacteristic
508C4⋊(C3⋊C8)C2311yescharacteristic
509C4⋊(C3⋊C8)C2311yescharacteristic
510#803C2311yescharacteristic
511#803C2311yescharacteristic
512C4×C3⋊C8C2311yescharacteristic
513C2×AGL(1,ℤ/8)—31no—
514C22×SD16—31no—
515C22×SD16—31no—
516#557—31no—
517#557—31no—
518#557—31no—
519#557—31no—
520#556—31no—
521#556—31no—
522#556—31no—
523#556C2×D311yescharacteristic, complemented
524#554—31no—
525#554—31no—
526#554—31no—
527#554—31no—
528#554—31no—
529#554—61no—
530#554—61no—
531#554—61no—
532#554C2×D311yescharacteristic
533#552—61no—
534#552—61no—
535#552—61no—
536#552—61no—
537D4×Q8—31no—
538D4×Q8—31no—
539D4×Q8—61no—
540#544—31no—
541#544—31no—
542#543—61no—
543#543—61no—
544#541—61no—
545#541—61no—
546#536—31no—
547#536—31no—
548#533—31no—
549#533—31no—
550#533—61no—
551#533—61no—
552C2×C4⋊Q8—31no—
553C2×C22⋊Q8—61no—
554C2×C22⋊Q8—61no—
555#519—31no—
556#519—31no—
557#518—31no—
558#518—31no—
559C4×#41—31no—
560C2×C4×D4—31no—
561#491—31no—
562#491—31no—
563#491—31no—
564#491—31no—
565#491—31no—
566#491—31no—
567#491—31no—
568#491C2×D311yescharacteristic, complemented
569#489—31no—
570#489—31no—
571#489—31no—
572#489C2×D311yescharacteristic, complemented
573#488—31no—
574#488—31no—
575#488—31no—
576#488C2×D311yescharacteristic, complemented
577#487—31no—
578#487—31no—
579#487—31no—
580#487—31no—
581#487—31no—
582#487—31no—
583#487—31no—
584#487—31no—
585#479—31no—
586#479—31no—
587#479—31no—
588#479—31no—
589#479—31no—
590#479—31no—
591#479—31no—
592#479—31no—
593#479—31no—
594#479C2×D311yescharacteristic, complemented
595#478—31no—
596#478C2×D311yescharacteristic, complemented
597#477—31no—
598#477—31no—
599#477—31no—
600#477—31no—
601#477—31no—
602#476—31no—
603#475—31no—
604#475—31no—
605#475—31no—
606#475—31no—
607#475C2×D311yescharacteristic, complemented
608#474—31no—
609#463—31no—
610#463—31no—
611#463—31no—
612#463—31no—
613#463—31no—
614#463—31no—
615#463C2×D311yescharacteristic
616#463C2×D311yescharacteristic
617#461—31no—
618#461—31no—
619#461—31no—
620#461—31no—
621#461—31no—
622#461—31no—
623#461—31no—
624#461—31no—
625#461—31no—
626#461—31no—
627#461—31no—
628#461—31no—
629#461—31no—
630#461—31no—
631#461—31no—
632#461C2×D311yescharacteristic
633#446—31no—
634#446—31no—
635#446—31no—
636#446—31no—
637#446—31no—
638#446C2×D311yescharacteristic, complemented
639C8×Q8—31no—
640C8×Q8—31no—
641#442—31no—
642#442C2×D311yescharacteristic
643#440—31no—
644#440—31no—
645#440—31no—
646#440—31no—
647#440—31no—
648#440—31no—
649#440—31no—
650#440—31no—
651#440—31no—
652#440C2×D311yescharacteristic
653C4×SD16—31no—
654C4×SD16—31no—
655C4×SD16—31no—
656C4×SD16—31no—
657C4×SD16—31no—
658C4×SD16—31no—
659C4×SD16—31no—
660C4×SD16—31no—
661C4×SD16—31no—
662C4×SD16C2×D311yescharacteristic
663C4×D8—31no—
664C4×D8—31no—
665#428—31no—
666#427—31no—
667#427—31no—
668#424—31no—
669#424—31no—
670C2×C4⋊C8—31no—
671#419—31no—
672#419—31no—
673#419—31no—
674#419—31no—
675#418—31no—
676#417—31no—
677#416—31no—
678#416—31no—
679C2×#103—31no—
680C2×#103—31no—
681#405—31no—
682#405—31no—
683C4×M16—31no—
684C23×D3—21no—
685C2×C3×Q8—21no—
686C2×C3×Q8C2×D411yescharacteristic
687C2×C3×Q8C2411yescharacteristic
688C2×C3×Q8C2411yescharacteristic
689C2×C3×D4C2411yescharacteristic
690C2×C3×D4C2411yescharacteristic
691C22×C3×C4—21no—
692C22×C3×C4—21no—
693C22×C3×C4—21no—
694C22×C3×C4—21no—
695C2×#67—21no—
696C2×#67—21no—
697C22×Dic3—21no—
698C22×Dic3—21no—
699C22×Dic3—21no—
700C22×Dic3—21no—
701C22×Dic3—21no—
702D3×Q8—22no—
703D3×Q8—22no—
704D3×Q8—22no—
705D3×Q8—22no—
706D3×Q8—82no—
707#237—22no—
708#237—22no—
709D3×D4—22no—
710D3×D4#4114yes—
711C2×D12C2411yescharacteristic
712C2×C4×D3—21no—
713C2×C4×D3—21no—
714C2×C4×D3—21no—
715C2×C4×D3—21no—
716C2×C4×D3—21no—
717C2×C4×D3—21no—
718C2×C4×D3—21no—
719C2×C4×D3—21no—
720C2×C4×D3—21no—
721C2×C4×D3—82no—
722C2×C4×D3C2×D411yescharacteristic
723C2×C4×D3C2×D411yescharacteristic
724C2×C4×D3C2411yescharacteristic
725C2×Dic6—21no—
726C2×Dic6—21no—
727C2×Dic6—21no—
728C2×Dic6—21no—
729C2×Dic6—21no—
730C2×Dic6—21no—
731C2×Dic6—21no—
732C2×Dic6—82no—
733C2×Dic6C2×D411yescharacteristic
734C2×Dic6C2×D411yescharacteristic
735C2×Dic6C2×D411yescharacteristic
736C2×Dic6C2411yescharacteristic
737C2×Dic6C2411yescharacteristic
738C2×Dic6C2411yescharacteristic
739C3×SD16—22no—
740C3×SD16—22no—
741C3×D8—22no—
742C2×C3×C8C2411yescharacteristic
743C2×C3×C8C2411yescharacteristic
744C2×C3×C8C2411yescharacteristic
745C2×C3×C8C2411yescharacteristic
746C3×C4⋊C4—21no—
747C3×C4⋊C4—21no—
748C3×C4⋊C4—21no—
749C3×C4⋊C4—21no—
750C3×C4⋊C4—21no—
751C3×C4⋊C4—21no—
752C3×C4⋊C4—21no—
753C3×C4⋊C4—21no—
754C3×C4⋊C4—21no—
755C3×C4⋊C4C2×D411yescharacteristic
756C3×C4⋊C4C2×D411yescharacteristic
757C3×C4⋊C4C2×D411yescharacteristic
758C3×C4⋊C4C2411yescharacteristic
759C3×C4⋊C4C2411yescharacteristic
760C3×C4⋊C4C2411yescharacteristic
761C3×C4⋊C4C2411yescharacteristic
762C3×C22⋊C4—21no—
763C3×C22⋊C4—21no—
764C3×C22⋊C4—21no—
765C3×C22⋊C4—21no—
766C3×C22⋊C4—21no—
767C3×C22⋊C4—21no—
768C3×C22⋊C4—21no—
769C3×C22⋊C4—21no—
770C3×C42—21no—
771C3×C42—21no—
772C3×C42C2411yescharacteristic
773C3×C42C2411yescharacteristic
774C3×C42C2411yescharacteristic
775#217—21no—
776#217—21no—
777#217—21no—
778#217—21no—
779#217—21no—
780#217—21no—
781#217—21no—
782#217—21no—
783#215—22no—
784#215—22no—
785#214—22no—
786#214—22no—
787#214—22no—
788#213—22no—
789(C2×D3)⋊C4—21no—
790(C2×D3)⋊C4—21no—
791(C2×D3)⋊C4—21no—
792(C2×D3)⋊C4—21no—
793(C2×D3)⋊C4—21no—
794(C2×D3)⋊C4—21no—
795(C2×D3)⋊C4—21no—
796(C2×D3)⋊C4—21no—
797(C2×D3)⋊C4—21no—
798(C2×D3)⋊C4C2×D411yescharacteristic
799(C2×D3)⋊C4C2×D411yescharacteristic
800(C2×D3)⋊C4C2×D411yescharacteristic
801(C2×D3)⋊C4C2×D411yescharacteristic
802C4⋊Dic3—21no—
803C4⋊Dic3—21no—
804C4⋊Dic3—21no—
805C4⋊Dic3—21no—
806C4⋊Dic3—21no—
807C4⋊Dic3—21no—
808C4⋊Dic3—21no—
809C4⋊Dic3—21no—
810C4⋊Dic3—21no—
811C4⋊Dic3—21no—
812C4⋊Dic3—21no—
813C4⋊Dic3C2×D411yescharacteristic
814C4⋊Dic3C2×D411yescharacteristic
815C4⋊Dic3C2×D411yescharacteristic
816C4⋊Dic3C2411yescharacteristic
817C4⋊Dic3C2411yescharacteristic
818C4⋊Dic3C2411yescharacteristic
819C4⋊Dic3C2411yescharacteristic
820Dic3⋊C4—21no—
821Dic3⋊C4—21no—
822Dic3⋊C4—21no—
823Dic3⋊C4—21no—
824Dic3⋊C4—21no—
825Dic3⋊C4—21no—
826Dic3⋊C4—21no—
827Dic3⋊C4—21no—
828Dic3⋊C4—21no—
829Dic3⋊C4—21no—
830Dic3⋊C4—21no—
831Dic3⋊C4—21no—
832Dic3⋊C4—21no—
833Dic3⋊C4—21no—
834Dic3⋊C4—21no—
835Dic3⋊C4—21no—
836Dic3⋊C4—21no—
837Dic3⋊C4—21no—
838Dic3⋊C4—21no—
839Dic3⋊C4—21no—
840Dic3⋊C4—21no—
841Dic3⋊C4—21no—
842Dic3⋊C4—21no—
843Dic3⋊C4—21no—
844Dic3⋊C4—21no—
845Dic3⋊C4C2×D411yescharacteristic
846Dic3⋊C4C2×D411yescharacteristic
847Dic3⋊C4C2×D411yescharacteristic
848Dic3⋊C4C2×D411yescharacteristic
849Dic3⋊C4C2×D411yescharacteristic
850Dic3⋊C4C2×D411yescharacteristic
851Dic3⋊C4C2×D411yescharacteristic
852Dic3⋊C4C2×D411yescharacteristic
853Dic3⋊C4C2×D411yescharacteristic
854Dic3⋊C4C2×D411yescharacteristic
855C4×Dic3—21no—
856C4×Dic3—21no—
857C4×Dic3—21no—
858C4×Dic3—21no—
859C4×Dic3—21no—
860C4×Dic3—21no—
861C4×Dic3—21no—
862C4×Dic3—21no—
863C4×Dic3—21no—
864C4×Dic3—21no—
865C4×Dic3—21no—
866C4×Dic3C2×D411yescharacteristic
867C4×Dic3C2×D411yescharacteristic
868C4×Dic3C2411yescharacteristic
869C4×Dic3C2411yescharacteristic
870C4×Dic3C2411yescharacteristic
871C2×C3⋊C8C2411yescharacteristic
872C2×C3⋊C8C2411yescharacteristic
873C2×C3⋊C8C2411yescharacteristic
874C2×C3⋊C8C2411yescharacteristic
875#204—22no—
876#204—22no—
877#204—22no—
878ΓL(1,𝔽25)—22no—
879ΓL(1,𝔽25)—22no—
880D3×C8—22no—
881D3×C8—22no—
882C2×#41—31no—
883C22×Q8—31no—
884C22×Q8—31no—
885C22×Q8—61no—
886C22×Q8—61no—
887C22×D4—31no—
888C23×C4—61no—
889AGL(1,ℤ/8)—64no—
890C2×SD16—31no—
891C2×SD16—31no—
892C2×SD16—31no—
893C2×SD16—31no—
894C2×SD16—31no—
895C2×SD16—31no—
896C2×SD16—31no—
897C2×SD16—31no—
898C2×SD16—64no—
899C2×SD16—64no—
900C2×SD16C22×D311yescharacteristic
901C2×SD16C22×D311yescharacteristic
902C2×D8—31no—
903C2×D8C22×D311yescharacteristic
904C2×M16—31no—
905C2×M16—31no—
906C22×C8—31no—
907C22×C8—31no—
908C4⋊Q8—31no—
909C4⋊Q8—31no—
910C4⋊Q8—31no—
911C4⋊Q8—31no—
912C4⋊Q8—31no—
913C4⋊Q8—31no—
914C4⋊Q8—31no—
915C4⋊Q8—31no—
916C4⋊Q8—31no—
917C4⋊Q8—31no—
918C4⋊Q8—31no—
919C4⋊Q8—31no—
920C4⋊Q8—31no—
921C4⋊Q8—31no—
922C4⋊Q8—61no—
923C4⋊Q8—61no—
924C4⋊Q8—61no—
925C4⋊Q8—61no—
926C4⋊Q8C22×D311yescharacteristic
927C4⋊Q8C22×D311yescharacteristic
928#126—21no—
929#126—21no—
930#126—61no—
931#126—61no—
932#126—61no—
933#126—61no—
934#126—61no—
935#126—61no—
936#125—31no—
937#125—31no—
938#125—31no—
939#125—31no—
940#125—31no—
941#125—31no—
942#125—61no—
943#125—61no—
944#125—61no—
945#125—61no—
946#125—61no—
947#125—61no—
948#125—61no—
949#125—61no—
950#125—61no—
951#125—61no—
952#125—61no—
953#125—61no—
954#125—61no—
955#125—61no—
956#125C22×D311yescharacteristic
957#125C22×D311yescharacteristic
958#124—31no—
959#124—31no—
960#124C22×D311yescharacteristic
961#124C22×D311yescharacteristic
962#123—61no—
963#123—61no—
964#123—61no—
965#123—61no—
966C22⋊Q8—21no—
967C22⋊Q8—21no—
968C22⋊Q8—21no—
969C22⋊Q8—21no—
970C22⋊Q8—31no—
971C22⋊Q8—31no—
972C22⋊Q8—31no—
973C22⋊Q8—31no—
974C22⋊Q8—61no—
975C22⋊Q8—61no—
976C22⋊Q8—61no—
977C22⋊Q8—61no—
978C22⋊Q8—61no—
979C22⋊Q8—61no—
980C22⋊Q8—61no—
981C22⋊Q8—61no—
982C22⋊Q8—61no—
983C22⋊Q8—61no—
984C22⋊Q8—61no—
985C22⋊Q8—61no—
986C22⋊Q8—61no—
987C22⋊Q8—61no—
988C22⋊Q8—61no—
989C22⋊Q8—61no—
990C22⋊Q8—61no—
991C22⋊Q8—61no—
992C22⋊Q8—61no—
993C22⋊Q8—61no—
994C22⋊Q8—61no—
995C22⋊Q8—61no—
996C22⋊Q8—61no—
997C22⋊Q8—61no—
998C22⋊Q8—61no—
999C22⋊Q8—61no—
1000C22⋊Q8—61no—
1001C22⋊Q8—61no—
1002C22⋊Q8—61no—
1003C22⋊Q8—61no—
1004C22⋊Q8—61no—
1005C22⋊Q8—61no—
1006C22⋊Q8—61no—
1007C22⋊Q8—61no—
1008C4×Q8—31no—
1009C4×Q8—31no—
1010C4×Q8—31no—
1011C4×Q8—31no—
1012C4×Q8—31no—
1013C4×Q8—31no—
1014C4×Q8—31no—
1015C4×Q8—31no—
1016C4×Q8—31no—
1017C4×Q8—31no—
1018C4×Q8—31no—
1019C4×Q8—61no—
1020C4×Q8—61no—
1021C4×Q8—61no—
1022C4×Q8—61no—
1023C4×Q8—61no—
1024C4×Q8—61no—
1025C4×Q8—61no—
1026C4×Q8—61no—
1027C4×Q8—61no—
1028C4×Q8—61no—
1029C4×Q8C22×D311yescharacteristic
1030C4×Q8C22×D311yescharacteristic
1031C4×Q8C22×D311yescharacteristic
1032C4×D4—31no—
1033C4×D4—31no—
1034C4×D4—31no—
1035C4×D4—31no—
1036C4×D4—31no—
1037C4×D4—31no—
1038C4×D4—31no—
1039C4×D4—31no—
1040C4×D4—31no—
1041C4×D4—31no—
1042C4×D4—61no—
1043C4×D4—61no—
1044C4×D4—61no—
1045C4×D4—61no—
1046C4×D4—61no—
1047C4×D4—61no—
1048C4×D4—61no—
1049C4×D4—61no—
1050C4×D4C22×D311yescharacteristic
1051C4×D4C22×D311yescharacteristic
1052C4×D4C22×D311yescharacteristic
1053C4×D4C22×D311yescharacteristic
1054#117—21no—
1055#117—31no—
1056#117—31no—
1057#117—31no—
1058#117—31no—
1059#117—31no—
1060#117—61no—
1061#117—61no—
1062#117—61no—
1063#117—61no—
1064#117—61no—
1065#117—61no—
1066#117—61no—
1067#117—61no—
1068C2×C4⋊C4—21no—
1069C2×C4⋊C4—31no—
1070C2×C4⋊C4—61no—
1071C2×C4⋊C4—61no—
1072C2×C4⋊C4—61no—
1073C2×C4⋊C4—61no—
1074C2×C4⋊C4—61no—
1075C2×C4⋊C4—61no—
1076C2×C4⋊C4—61no—
1077C2×C22⋊C4—61no—
1078C2×C22⋊C4—61no—
1079C2×C22⋊C4—61no—
1080C2×C22⋊C4—61no—
1081C2×C22⋊C4—61no—
1082C2×C42—31no—
1083C2×C42—61no—
1084#107—31no—
1085#107—31no—
1086#107—31no—
1087#107—31no—
1088#107—31no—
1089#107C22×D311yescharacteristic
1090#106—31no—
1091#106—31no—
1092#106—31no—
1093#106—31no—
1094#106C22×D311yescharacteristic
1095#106C22×D311yescharacteristic
1096C4⋊C8—31no—
1097C4⋊C8—31no—
1098C4⋊C8—31no—
1099C4⋊C8—31no—
1100C4⋊C8—31no—
1101C4⋊C8—31no—
1102C4⋊C8—31no—
1103C4⋊C8—31no—
1104C4⋊C8—31no—
1105C4⋊C8C22×D311yescharacteristic
1106C4⋊C8C22×D311yescharacteristic
1107C4⋊C8C22×D311yescharacteristic
1108#103—31no—
1109#103—31no—
1110#103—31no—
1111#103—31no—
1112#103—31no—
1113#103—31no—
1114#103—31no—
1115#103—31no—
1116#103—31no—
1117#103—31no—
1118#103—31no—
1119#103—31no—
1120#103—31no—
1121#103—31no—
1122#103—31no—
1123#103—31no—
1124#103—31no—
1125#103—31no—
1126#103—31no—
1127#103—31no—
1128#103—31no—
1129#103—31no—
1130#103—31no—
1131#103—31no—
1132#103C22×D311yescharacteristic
1133#103C22×D311yescharacteristic
1134#103C22×D311yescharacteristic
1135#103C22×D311yescharacteristic
1136#103C22×D311yescharacteristic
1137#103C22×D311yescharacteristic
1138#102—31no—
1139#102—31no—
1140#102—31no—
1141#102—31no—
1142#102—31no—
1143#102—31no—
1144#102C22×D311yescharacteristic
1145#102C22×D311yescharacteristic
1146#102C22×D311yescharacteristic
1147#102C22×D311yescharacteristic
1148#97—31no—
1149#97—31no—
1150#97—31no—
1151#97—31no—
1152#97C22×D311yescharacteristic
1153#97C22×D311yescharacteristic
1154C4×C8—31no—
1155C4×C8—31no—
1156C4×C8—31no—
1157C4×C8—31no—
1158C4×C8—31no—
1159C4×C8C22×D311yescharacteristic
1160C23×C3—21no—
1161C23×C3—21no—
1162C22×D3—21no—
1163C22×D3—24no—
1164C22×D3—81no—
1165C22×D3—81no—
1166C22×D3C22×D411yescharacteristic
1167C3×Q8—21no—
1168C3×Q8—21no—
1169C3×Q8—21no—
1170C3×Q8—21no—
1171C3×Q8—41no—
1172C3×Q8—81no—
1173C3×D4—21no—
1174C3×D4—21no—
1175C3×D4—21no—
1176C3×D4C2×#4112yes—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—42no—
1184C2×C3×C4—81no—
1185C2×C3×C4—81no—
1186C2×C3×C4—81no—
1187C2×C3×C4C22×D411yescharacteristic
1188C2×C3×C4C22×D411yescharacteristic
1189C2×C3×C4C22×D411yescharacteristic
1190C2×C3×C4C22×D411yescharacteristic
1191C2×C3×C4C22×D411yescharacteristic
1192C2×C3×C4C22×D411yescharacteristic
1193C2×C3×C4C2511yescharacteristic
1194#67—24no—
1195#67—42no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—42no—
1204C2×Dic3—42no—
1205C2×Dic3—42no—
1206C2×Dic3—81no—
1207C2×Dic3—81no—
1208C2×Dic3C22×D411yescharacteristic
1209C2×Dic3C22×D411yescharacteristic
1210C2×Dic3C22×D411yescharacteristic
1211C2×Dic3C22×D411yescharacteristic
1212C2×Dic3C22×D411yescharacteristic
1213C2×Dic3C22×D411yescharacteristic
1214C2×Dic3C22×D411yescharacteristic
1215D12—21no—
1216D12C2×#4112yes—
1217C4×D3—22no—
1218C4×D3—41no—
1219C4×D3—42no—
1220C4×D3—42no—
1221C4×D3—42no—
1222C4×D3—81no—
1223C4×D3—81no—
1224C4×D3—81no—
1225C4×D3—81no—
1226C4×D3—81no—
1227C4×D3—81no—
1228C4×D3C2×#4112yes—
1229C4×D32−1+412yes—
1230Dic6—22no—
1231Dic6—22no—
1232Dic6—21no—
1233Dic6—21no—
1234Dic6—21no—
1235Dic6—21no—
1236Dic6—21no—
1237Dic6—21no—
1238Dic6—41no—
1239Dic6—42no—
1240Dic6—42no—
1241Dic6—42no—
1242Dic6—81no—
1243Dic6—81no—
1244Dic6—81no—
1245Dic6—81no—
1246C3×C8—21no—
1247C3×C8—21no—
1248C3×C8—21no—
1249C3×C8—21no—
1250C3⋊C8—21no—
1251C3⋊C8—21no—
1252C3⋊C8—21no—
1253C3⋊C8—21no—
1254C24—61no—
1255#41—62no—
1256#41—62no—
1257C2×Q8—21no—
1258C2×Q8—31no—
1259C2×Q8—31no—
1260C2×Q8—31no—
1261C2×Q8—31no—
1262C2×Q8—31no—
1263C2×Q8—31no—
1264C2×Q8—61no—
1265C2×Q8—61no—
1266C2×Q8—61no—
1267C2×Q8—61no—
1268C2×Q8—61no—
1269C2×Q8—61no—
1270C2×Q8—62no—
1271C2×Q8—62no—
1272C2×Q8—62no—
1273C2×Q8—62no—
1274C2×Q8—61no—
1275C2×Q8—242no—
1276C2×Q8—242no—
1277C2×Q8D3×D411yescharacteristic
1278C2×Q8C23×D311yescharacteristic
1279C2×Q8C23×D311yescharacteristic
1280C2×D4—34no—
1281C2×D4—31no—
1282C2×D4—62no—
1283C2×D4—61no—
1284C2×D4—61no—
1285C2×D4C23×D311yescharacteristic
1286C2×D4C23×D311yescharacteristic
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—31no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—61no—
1295C22×C4—61no—
1296C22×C4—61no—
1297C22×C4—61no—
1298C22×C4—61no—
1299C22×C4—61no—
1300C22×C4—61no—
1301C22×C4—61no—
1302C22×C4—61no—
1303C22×C4—61no—
1304C22×C4—61no—
1305C22×C4—61no—
1306C22×C4—61no—
1307C22×C4—61no—
1308C22×C4—242no—
1309SD16—22no—
1310SD16—22no—
1311SD16—62no—
1312SD16—62no—
1313SD16—62no—
1314SD16—62no—
1315SD16—62no—
1316SD16—62no—
1317SD16—62no—
1318SD16—62no—
1319D8—22no—
1320D8—62no—
1321M16—62no—
1322M16—62no—
1323C2×C8—31no—
1324C2×C8—31no—
1325C2×C8—31no—
1326C2×C8—31no—
1327C2×C8—62no—
1328C2×C8—62no—
1329C2×C8C23×D311yescharacteristic
1330C2×C8C23×D311yescharacteristic
1331C2×C8C23×D311yescharacteristic
1332C2×C8C23×D311yescharacteristic
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—31no—
1343C4⋊C4—31no—
1344C4⋊C4—31no—
1345C4⋊C4—31no—
1346C4⋊C4—31no—
1347C4⋊C4—31no—
1348C4⋊C4—31no—
1349C4⋊C4—31no—
1350C4⋊C4—31no—
1351C4⋊C4—31no—
1352C4⋊C4—31no—
1353C4⋊C4—31no—
1354C4⋊C4—31no—
1355C4⋊C4—31no—
1356C4⋊C4—31no—
1357C4⋊C4—31no—
1358C4⋊C4—31no—
1359C4⋊C4—61no—
1360C4⋊C4—61no—
1361C4⋊C4—61no—
1362C4⋊C4—61no—
1363C4⋊C4—61no—
1364C4⋊C4—61no—
1365C4⋊C4—61no—
1366C4⋊C4—61no—
1367C4⋊C4—61no—
1368C4⋊C4—61no—
1369C4⋊C4—61no—
1370C4⋊C4—61no—
1371C4⋊C4—61no—
1372C4⋊C4—61no—
1373C4⋊C4—61no—
1374C4⋊C4—61no—
1375C4⋊C4—61no—
1376C4⋊C4—61no—
1377C4⋊C4—61no—
1378C4⋊C4—61no—
1379C4⋊C4—61no—
1380C4⋊C4—61no—
1381C4⋊C4—61no—
1382C4⋊C4—61no—
1383C4⋊C4—61no—
1384C4⋊C4—61no—
1385C4⋊C4—61no—
1386C4⋊C4—61no—
1387C4⋊C4—61no—
1388C4⋊C4—61no—
1389C4⋊C4—61no—
1390C4⋊C4—61no—
1391C4⋊C4—61no—
1392C4⋊C4—61no—
1393C4⋊C4—61no—
1394C4⋊C4—61no—
1395C4⋊C4D3×D411yescharacteristic
1396C4⋊C4D3×D411yescharacteristic
1397C4⋊C4D3×D411yescharacteristic
1398C4⋊C4C23×D311yescharacteristic
1399C4⋊C4C23×D311yescharacteristic
1400C4⋊C4C23×D311yescharacteristic
1401C4⋊C4C23×D311yescharacteristic
1402C22⋊C4—21no—
1403C22⋊C4—21no—
1404C22⋊C4—21no—
1405C22⋊C4—21no—
1406C22⋊C4—21no—
1407C22⋊C4—21no—
1408C22⋊C4—21no—
1409C22⋊C4—21no—
1410C22⋊C4—31no—
1411C22⋊C4—31no—
1412C22⋊C4—31no—
1413C22⋊C4—31no—
1414C22⋊C4—61no—
1415C22⋊C4—61no—
1416C22⋊C4—61no—
1417C22⋊C4—61no—
1418C22⋊C4—61no—
1419C22⋊C4—61no—
1420C22⋊C4—61no—
1421C22⋊C4—61no—
1422C22⋊C4—61no—
1423C22⋊C4—61no—
1424C22⋊C4—61no—
1425C22⋊C4—61no—
1426C22⋊C4—61no—
1427C22⋊C4—61no—
1428C22⋊C4—61no—
1429C22⋊C4—61no—
1430C22⋊C4—61no—
1431C42—21no—
1432C42—21no—
1433C42—31no—
1434C42—31no—
1435C42—31no—
1436C42—31no—
1437C42—31no—
1438C42—61no—
1439C42—61no—
1440C42—61no—
1441C42—61no—
1442C42—61no—
1443C42—61no—
1444C42—61no—
1445C42—61no—
1446C42—61no—
1447C42—61no—
1448C42—61no—
1449C42C23×D311yescharacteristic
1450C42C23×D311yescharacteristic
1451C42C23×D311yescharacteristic
1452C22×C3—22no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3C23×D411yescharacteristic
1459C2×D3—21no—
1460C2×D3—21no—
1461C2×D3—22no—
1462C2×D3—41no—
1463C2×D3—41no—
1464C2×D3—84no—
1465C2×D3#54812yes—
1466C3×C4—21no—
1467C3×C4—21no—
1468C3×C4—21no—
1469C3×C4—21no—
1470C3×C4—21no—
1471C3×C4—21no—
1472C3×C4—41no—
1473C3×C4—41no—
1474C3×C4—41no—
1475C3×C4—41no—
1476C3×C4—41no—
1477C3×C4—41no—
1478C3×C4C22×#4111yescharacteristic
1479C3×C4C2×2−1+411yescharacteristic
1480Dic3—21no—
1481Dic3—21no—
1482Dic3—21no—
1483Dic3—21no—
1484Dic3—21no—
1485Dic3—41no—
1486Dic3—41no—
1487Dic3—41no—
1488Dic3—41no—
1489Dic3—41no—
1490Dic3—41no—
1491Dic3—41no—
1492Dic3#54812yes—
1493Dic3#57712yes—
1494C23—21no—
1495C23—21no—
1496C23—31no—
1497C23—64no—
1498C23—61no—
1499C23—241no—
1500C23—241no—
1501Q8—21no—
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—41no—
1506Q8—62no—
1507Q8—62no—
1508Q8—61no—
1509Q8—61no—
1510Q8—61no—
1511Q8—61no—
1512Q8—61no—
1513Q8—61no—
1514Q8—81no—
1515Q8—121no—
1516Q8—122no—
1517Q8—122no—
1518Q8—122no—
1519Q8—241no—
1520Q8—241no—
1521Q8—241no—
1522Q8—241no—
1523D4—21no—
1524D4—21no—
1525D4—21no—
1526D4—32no—
1527D4—64no—
1528D4—61no—
1529D4—122no—
1530D4D3×#4112yes—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—31no—
1538C2×C4—31no—
1539C2×C4—32no—
1540C2×C4—32no—
1541C2×C4—31no—
1542C2×C4—31no—
1543C2×C4—31no—
1544C2×C4—31no—
1545C2×C4—31no—
1546C2×C4—42no—
1547C2×C4—62no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—81no—
1556C2×C4—81no—
1557C2×C4—81no—
1558C2×C4—121no—
1559C2×C4—122no—
1560C2×C4—122no—
1561C2×C4—122no—
1562C2×C4—122no—
1563C2×C4—122no—
1564C2×C4—122no—
1565C2×C4—241no—
1566C2×C4—241no—
1567C2×C4—241no—
1568C2×C4—241no—
1569C2×C4—241no—
1570C2×C4—241no—
1571C2×C4—241no—
1572C2×C4—241no—
1573C2×C4C2×D3×D411yescharacteristic
1574C2×C4C2×D3×D411yescharacteristic
1575C2×C4C2×D3×D411yescharacteristic
1576C2×C4C2×D3×D411yescharacteristic
1577C2×C4C2×D3×D411yescharacteristic
1578C2×C4C2×D3×D411yescharacteristic
1579C2×C4C24×D311yescharacteristic
1580C8—21no—
1581C8—21no—
1582C8—21no—
1583C8—21no—
1584C8—61no—
1585C8—61no—
1586C8—61no—
1587C8—61no—
1588C2×C3—42no—
1589C2×C3—81no—
1590C2×C3C2×#54811yescharacteristic
1591C2×C3C2×#57711yescharacteristic
1592C2×C3#358611yescharacteristic
1593D3—22no—
1594D3—42no—
1595C22—22no—
1596C22—32no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—61no—
1603C22—61no—
1604C22—62no—
1605C22—121no—
1606C22—121no—
1607C22—244no—
1608C22C22×D3×D411yescharacteristic
1609C4—21no—
1610C4—21no—
1611C4—21no—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—32no—
1616C4—32no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—61no—
1624C4—61no—
1625C4—61no—
1626C4—61no—
1627C4—61no—
1628C4—121no—
1629C4—121no—
1630C4—121no—
1631C4—121no—
1632C4—121no—
1633C4—121no—
1634C4—121no—
1635C4C2×D3×#4111yescharacteristic
1636C4D3×2−1+411yescharacteristic
1637C3#6134011yescharacteristic, complemented, Sylow
1638C2—42no—
1639C2—62no—
1640C2—81no—
1641C2—122no—
1642C2D3×#54811yescharacteristic
1643C2#8720111yescharacteristic
1644C2D3×#57711yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3376C2
socleC22×C3C23×D4
prime radicalC2×#911C22
hypercenter#3376D3
hypocenterC3#61340
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3376

Complements

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

NH ≅ G/Ntype
1. #86983C2semidirect
2. #86949C2semidirect
3. C3×#3376C2semidirect
4. #83669C2semidirect
5. #83644C2semidirect
6. #81739C2semidirect
7. #81732C2semidirect
8. #81681C2semidirect
9. #81670C2semidirect
10. #81639C2semidirect
11. #81632C2semidirect
12. #81232C2semidirect
13. #81219C2semidirect
14. #81165C2semidirect
15. #81154C2semidirect
16. #81037C2semidirect
17. #81013C2semidirect
20. #80518C2semidirect
21. #80516C2semidirect
22. D3×#461C2semidirect
23. #80418C2semidirect
24. #79972C2semidirect
25. #79961C2semidirect
27. #79854C2semidirect
28. #79777C2semidirect
29. #79755C2semidirect
30. #79649C2semidirect
31. #79619C2semidirect
33. C3×#556C22semidirect
41. #5721C22semidirect
52. #5671C22semidirect
53. #5671C22semidirect
66. #5570C22semidirect
67. #5567C22semidirect
68. #5567C22semidirect
72. #5542C22semidirect
81. C3×#491C22semidirect
82. C3×#489C22semidirect
83. C3×#488C22semidirect
84. C3×#479C22semidirect
85. C3×#478C22semidirect
86. C3×#475C22semidirect
90. C3×#446C22semidirect
103. #5093C22semidirect
104. #5091C22semidirect
106. #5082C22semidirect
107. #5069C22semidirect
108. #5069C22semidirect
109. #5063C22semidirect
110. #5063C22semidirect
113. #5056C22semidirect
114. #5055C22semidirect
117. #5024C22semidirect
118. #5022C22semidirect
119. #5020C22semidirect
127. #5009C22semidirect
130. #4877C22semidirect
131. #4875C22semidirect
134. #4857C22semidirect
135. #4854C22semidirect
136. #4854C22semidirect
137. #4854C22semidirect
140. #4850C22semidirect
147. #4830C22semidirect
148. #4829C22semidirect
149. #4829C22semidirect
150. #4828C22semidirect
151. #4828C22semidirect
163. #4799C22semidirect
164. #4797C22semidirect
165. #4797C22semidirect
166. #4796C22semidirect
167. #4793C22semidirect
168. #4793C22semidirect
169. #4792C22semidirect
170. #4792C22semidirect
171. #4792C22semidirect
172. #4792C22semidirect
173. #4792C22semidirect
174. #4792C22semidirect
182. #4768C22semidirect
183. #4768C22semidirect
184. #4765C22semidirect
185. #4765C22semidirect
186. #4761C22semidirect
187. #4759C22semidirect
196. #4703C22semidirect
197. #4703C22semidirect
198. #4701C22semidirect
199. #4701C22semidirect
202. #4681C22semidirect
203. C8×Dic6C22semidirect
209. #3376D3semidirect
523. #556C2×D3semidirect
568. #491C2×D3semidirect
572. #489C2×D3semidirect
576. #488C2×D3semidirect
594. #479C2×D3semidirect
596. #478C2×D3semidirect
607. #475C2×D3semidirect
638. #446C2×D3semidirect
1637. C3#61340semidirect

Maximal subgroups

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

subgroupindex
#869832
#869492
C3×#33762
#836692
#836442
#817392
#817322
#816812
#816702
#816392
#816322
#812322
#812192
#811652
#811542
#810372
#810132
#805372
#805182
#805162
D3×#4612
#804182
#799722
#799612
#798652
#798542
#797772
#797552
#796492
#796192
#613403