Finite Group Databasebeta

← #11635884

Subgroups — #11635884

Order 768.

2998 conjugacy classes of subgroups.

The subgroup lattice has 1658 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5632C211yesmaximal, characteristic, complemented
2C2×#5632C211yesmaximal, characteristic, complemented
3C2×D4×Dic6C211yesmaximal, characteristic, complemented
4C22×#888C211yesmaximal, characteristic, complemented
5C3×#2449C211yesmaximal, characteristic, complemented
6#82791C211yesmaximal, characteristic, complemented
7#82763C211yesmaximal, characteristic, complemented
8#82340C211yesmaximal, characteristic
9#82173C211yesmaximal, characteristic, complemented
10#78061C211yesmaximal, characteristic, complemented
11#78037C211yesmaximal, characteristic, complemented
12#77968C211yesmaximal, characteristic, complemented
13#77785C211yesmaximal, characteristic, complemented
14#77290C211yesmaximal, characteristic, complemented
15#77287C211yesmaximal, characteristic, complemented
16#77186C211yesmaximal, characteristic, complemented
17#77173C211yesmaximal, characteristic, complemented
18#76064C211yesmaximal, characteristic, complemented
19#75996C211yesmaximal, characteristic, complemented
20#75390C211yesmaximal, characteristic, complemented
21#74967C211yesmaximal, characteristic, complemented
22#74710C211yesmaximal, characteristic, complemented
23#74689C211yesmaximal, characteristic, complemented
24#74676C211yesmaximal, characteristic
25#74660C211yesmaximal, characteristic
26#74425C211yesmaximal, characteristic, complemented
27#74422C211yesmaximal, characteristic, complemented
28#74416C211yesmaximal, characteristic, complemented
29#74412C211yesmaximal, characteristic, complemented
30#74405C211yesmaximal, characteristic, complemented
31#74381C211yesmaximal, characteristic, complemented
32#59127—31nomaximal, Sylow
33C22×D3×Q8C2211yescharacteristic
34C23×Dic6C2211yescharacteristic
35C23×Dic6C2211yescharacteristic
36C23×Dic6C2211yescharacteristic
37C2×C3×C22⋊Q8C2211yescharacteristic
38C2×C3×C22⋊Q8C2211yescharacteristic
39C2×C3×C4×D4C2211yescharacteristic
40C22×C3×C4⋊C4C2211yescharacteristic
41C2×#944C2211yescharacteristic
42C2×#944C2211yescharacteristic
43C2×#939C2211yescharacteristic
44C2×D4×Dic3C2211yescharacteristic
45C2×D4×Dic3C2211yescharacteristic
46C2×C4×#67C2211yescharacteristic
47C2×C4×#67C2211yescharacteristic
48C22×C4⋊Dic3C2211yescharacteristic
49C2×#924C2211yescharacteristic
50C2×#924C2211yescharacteristic
51C22×Dic3⋊C4C2211yescharacteristic
52C22×Dic3⋊C4C2211yescharacteristic
53C22×C4×Dic3C2211yescharacteristic
54#5632—28no—
55#5632—28no—
56D4×Dic6—28no—
57C2×#897C2211yescharacteristic
58C2×#897C2211yescharacteristic
59C2×#896C2211yescharacteristic
60C2×#896C2211yescharacteristic
61C2×#896C2211yescharacteristic
62C2×#896C2211yescharacteristic
63C2×#896C2211yescharacteristic
64C2×#888—28no—
65C2×#888C2211yescharacteristic
66C2×#888C2211yescharacteristic
67C2×#888C2211yescharacteristic
68C2×#888C2211yescharacteristic
69C2×#888C2211yescharacteristic
70C2×#888C2211yescharacteristic
71C2×#888C2211yescharacteristic
72C2×#888C2211yescharacteristic
73C2×#888C2211yescharacteristic
74C2×#888C2211yescharacteristic
75C2×#888C2211yescharacteristic
76C2×#888C2211yescharacteristic
77C2×#888C2211yescharacteristic
78C2×#887C2211yescharacteristic
79C2×#887C2211yescharacteristic
80C2×#67⋊C4C2211yescharacteristic
81C2×#67⋊C4C2211yescharacteristic
82C2×#67⋊C4C2211yescharacteristic
83C2×#67⋊C4C2211yescharacteristic
84C2×#878C2211yescharacteristic
85C2×#878C2211yescharacteristic
86C2×#878C2211yescharacteristic
87C2×#878C2211yescharacteristic
88C2×#878C2211yescharacteristic
89C2×#878C2211yescharacteristic
90C2×#878C2211yescharacteristic
91C2×#878C2211yescharacteristic
92C2×#869C2211yescharacteristic
93C2×C4×Dic6C2211yescharacteristic
94C3×#399C2211yescharacteristic
95C3×#398C2211yescharacteristic
96C3×#396C2211yescharacteristic
97C3×#395C2211yescharacteristic
98C3×#389C2211yescharacteristic
99C3×#387C2211yescharacteristic
100C3×#386C2211yescharacteristic
101C3×#386C2211yescharacteristic
102C3×#385C2211yescharacteristic
103C3×#385C2211yescharacteristic
104C3×#385C2211yescharacteristic
105#5230C2211yescharacteristic
106#5220C2211yescharacteristic
107#5213C2211yescharacteristic
108#5213C2211yescharacteristic
109#5210C2211yescharacteristic
110#5210C2211yescharacteristic
111#5210C2211yescharacteristic
112#4994C2211yescharacteristic
113#4994C2211yescharacteristic
114#4993C2211yescharacteristic
115#4989C2211yescharacteristic
116#4989C2211yescharacteristic
117#4984C2211yescharacteristic
118#4983C2211yescharacteristic
119#4983C2211yescharacteristic
120#4982C2211yescharacteristic
121#4981C2211yescharacteristic
122#4981C2211yescharacteristic
123#4980C2211yescharacteristic
124#4979C2211yescharacteristic
125#4979C2211yescharacteristic
126#4979C2211yescharacteristic
127#4979C2211yescharacteristic
128#4979C2211yescharacteristic
129#4978C2211yescharacteristic
130#4976C2211yescharacteristic
131#4976C2211yescharacteristic
132#4976C2211yescharacteristic
133#4976C2211yescharacteristic
134#4976C2211yescharacteristic
135#4975C2211yescharacteristic
136#4975C2211yescharacteristic
137Dic3×C4⋊C4C2211yescharacteristic
138#4958C2211yescharacteristic
139#4957C2211yescharacteristic
140#4957C2211yescharacteristic
141#4957C2211yescharacteristic
142#4950C2211yescharacteristic
143#4950C2211yescharacteristic
144#4949C2211yescharacteristic
145#4948C2211yescharacteristic
146#4947C2211yescharacteristic
147#4947C2211yescharacteristic
148#4946C2211yescharacteristic
149#4946C2211yescharacteristic
150#4945C2211yescharacteristic
151#4944C2211yescharacteristic
152#4944C2211yescharacteristic
153#4942C2211yescharacteristic
154#4942C2211yescharacteristic
155Dic3×C22⋊C4C2211yescharacteristic
156Dic3×C22⋊C4C2211yescharacteristic
157Dic3×C22⋊C4C2211yescharacteristic
158#4940C2211yescharacteristic
159C4×Dic3⋊C4C2211yescharacteristic
160#4677C2211yescharacteristic
161#4673C2211yescharacteristic
162#4673C2211yescharacteristic
163#4670C2211yescharacteristic
164#4669C2211yescharacteristic
165#4668C2211yescharacteristic
166#4668C2211yescharacteristic
167#4666C2211yescharacteristic
168#4661C2211yescharacteristic
169#4657C2211yescharacteristic
170#4656C2211yescharacteristic
171#4656C2211yescharacteristic
172#4656C2211yescharacteristic
173#4656C2211yescharacteristic
174#4656C2211yescharacteristic
175#4654C2211yescharacteristic
176#4653C2211yescharacteristic
177#4653C2211yescharacteristic
178#4649C2211yescharacteristic
179#4649C2211yescharacteristic
180#4649C2211yescharacteristic
181#4649C2211yescharacteristic
182#4647C2211yescharacteristic
183#4647C2211yescharacteristic
184#4647C2211yescharacteristic
185#4647C2211yescharacteristic
186#4647C2211yescharacteristic
187#4646C2211yescharacteristic
188#4646C2211yescharacteristic
189#4646C2211yescharacteristic
190#4646C2211yescharacteristic
191#4646C2211yescharacteristic
192C2×D4×Q8—31no—
193C2×D4×Q8—31no—
194C2×D4×Q8—31no—
195C22×C4⋊Q8—31no—
196#2677—31no—
197#2677—31no—
198#2677—31no—
199#2677—31no—
200#2551—31no—
201#2551—31no—
202#2546—31no—
203#2542—31no—
204#2452—31no—
205#2452—31no—
206#2449—31no—
207#2449—31no—
208#2449—31no—
209#2449D311yescharacteristic, complemented
210#2440—31no—
211#2440—31no—
212#2434—31no—
213#2434—31no—
214#2429—31no—
215#2429—31no—
216#2409—31no—
217#2409—31no—
218#2365—31no—
219#2361—31no—
220#2361—31no—
221C4×C22⋊Q8—31no—
222C4×#121—31no—
223C22×C3×Q8C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C23×Dic3C2311yescharacteristic
232C23×Dic3C2311yescharacteristic
233C23×Dic3C2311yescharacteristic
234C23×Dic3C2311yescharacteristic
235C23×Dic3C2311yescharacteristic
236C23×Dic3C2311yescharacteristic
237C2×D3×Q8—24no—
238C2×D3×Q8—24no—
239C2×D3×Q8—42no—
240C22×C4×D3C2311yescharacteristic
241C22×C4×D3C2311yescharacteristic
242C22×C4×D3C2311yescharacteristic
243C22×Dic6—24no—
244C22×Dic6—24no—
245C22×Dic6—24no—
246C22×Dic6—24no—
247C22×Dic6—24no—
248C22×Dic6—24no—
249C22×Dic6—42no—
250C22×Dic6—42no—
251C22×Dic6—42no—
252C22×Dic6C2311yescharacteristic
253C22×Dic6C2311yescharacteristic
254C22×Dic6C2311yescharacteristic
255C22×Dic6C2311yescharacteristic
256C22×Dic6C2311yescharacteristic
257C22×Dic6C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C22×Dic6C2311yescharacteristic
260C22×Dic6C2311yescharacteristic
261C22×Dic6C2311yescharacteristic
262C22×Dic6C2311yescharacteristic
263C22×Dic6C2311yescharacteristic
264C3×C22⋊Q8—24no—
265C3×C22⋊Q8—24no—
266C3×C4×D4—24no—
267C2×C3×C4⋊C4—24no—
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4C2311yescharacteristic
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C42C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293C2×#217C2311yescharacteristic
294C2×#217C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297#944—24no—
298#944—24no—
299#939Q818yescomplemented
300D4×Dic3—24no—
301D4×Dic3—24no—
302C4×#67—24no—
303C4×#67—24no—
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×C4⋊Dic3—24no—
315C2×C4⋊Dic3C2311yescharacteristic
316C2×C4⋊Dic3C2311yescharacteristic
317C2×C4⋊Dic3C2311yescharacteristic
318C2×C4⋊Dic3C2311yescharacteristic
319C2×C4⋊Dic3C2311yescharacteristic
320C2×C4⋊Dic3C2311yescharacteristic
321C2×C4⋊Dic3C2311yescharacteristic
322C2×C4⋊Dic3C2311yescharacteristic
323C2×C4⋊Dic3C2311yescharacteristic
324C2×C4⋊Dic3C2311yescharacteristic
325C2×C4⋊Dic3C2311yescharacteristic
326C2×C4⋊Dic3C2311yescharacteristic
327#924—24no—
328#924—24no—
329C2×Dic3⋊C4—24no—
330C2×Dic3⋊C4—24no—
331C2×Dic3⋊C4C2311yescharacteristic
332C2×Dic3⋊C4C2311yescharacteristic
333C2×Dic3⋊C4C2311yescharacteristic
334C2×Dic3⋊C4C2311yescharacteristic
335C2×Dic3⋊C4C2311yescharacteristic
336C2×Dic3⋊C4C2311yescharacteristic
337C2×Dic3⋊C4C2311yescharacteristic
338C2×Dic3⋊C4C2311yescharacteristic
339C2×Dic3⋊C4C2311yescharacteristic
340C2×Dic3⋊C4C2311yescharacteristic
341C2×Dic3⋊C4C2311yescharacteristic
342C2×Dic3⋊C4C2311yescharacteristic
343C2×Dic3⋊C4C2311yescharacteristic
344C2×Dic3⋊C4C2311yescharacteristic
345C2×Dic3⋊C4C2311yescharacteristic
346C2×Dic3⋊C4C2311yescharacteristic
347C2×Dic3⋊C4C2311yescharacteristic
348C2×Dic3⋊C4C2311yescharacteristic
349C2×Dic3⋊C4C2311yescharacteristic
350C2×Dic3⋊C4C2311yescharacteristic
351C2×Dic3⋊C4C2311yescharacteristic
352C2×Dic3⋊C4C2311yescharacteristic
353C2×Dic3⋊C4C2311yescharacteristic
354C2×Dic3⋊C4C2311yescharacteristic
355C2×Dic3⋊C4C2311yescharacteristic
356C2×Dic3⋊C4C2311yescharacteristic
357C2×Dic3⋊C4C2311yescharacteristic
358C2×Dic3⋊C4C2311yescharacteristic
359C2×Dic3⋊C4C2311yescharacteristic
360C2×Dic3⋊C4C2311yescharacteristic
361C2×C4×Dic3—24no—
362C2×C4×Dic3C2311yescharacteristic
363C2×C4×Dic3C2311yescharacteristic
364C2×C4×Dic3C2311yescharacteristic
365C2×C4×Dic3C2311yescharacteristic
366C2×C4×Dic3C2311yescharacteristic
367C2×C4×Dic3C2311yescharacteristic
368C2×C4×Dic3C2311yescharacteristic
369C2×C4×Dic3C2311yescharacteristic
370C2×C4×Dic3C2311yescharacteristic
371C2×C4×Dic3C2311yescharacteristic
372C2×C4×Dic3C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375#897—24no—
376#897—24no—
377#896—24no—
378#896—24no—
379#896—24no—
380#896—24no—
381#896—42no—
382#888—24no—
383#888—24no—
384#888—24no—
385#888—24no—
386#888—24no—
387#888—24no—
388#888—24no—
389#888—24no—
390#888—24no—
391#888—24no—
392#888—24no—
393#888—24no—
394#888D418yescomplemented
395#887—24no—
396#887—24no—
397#67⋊C4—24no—
398#67⋊C4—24no—
399#67⋊C4—24no—
400#67⋊C4—24no—
401#878—24no—
402#878—24no—
403#878—24no—
404#878—24no—
405#878—24no—
406#878—24no—
407#878—42no—
408#878D418yescomplemented
409#869—24no—
410C4×Dic6—24no—
411C3×#95C2311yescharacteristic
412C3×#95C2311yescharacteristic
413C3×#95C2311yescharacteristic
414C3×#95C2311yescharacteristic
415C3×#95C2311yescharacteristic
416C3×#95C2311yescharacteristic
417C3×#95C2311yescharacteristic
418C3×#95C2311yescharacteristic
419C3⋊#95C2311yescharacteristic
420C3⋊#95C2311yescharacteristic
421C3⋊#95C2311yescharacteristic
422C3⋊#95C2311yescharacteristic
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C3⋊#95C2311yescharacteristic
433C3⋊#95C2311yescharacteristic
434C3⋊#95C2311yescharacteristic
435C3⋊#95C2311yescharacteristic
436C3⋊#95C2311yescharacteristic
437C3⋊#95C2311yescharacteristic
438C3⋊#95C2311yescharacteristic
439C3⋊#95C2311yescharacteristic
440C3⋊#95C2311yescharacteristic
441C3⋊#95C2311yescharacteristic
442C3⋊#95C2311yescharacteristic
443C23×Q8—31no—
444C23×Q8—31no—
445C23×Q8—31no—
446C23×Q8—31no—
447D4×Q8—68no—
448D4×Q8—68no—
449D4×Q8—68no—
450C2×C4⋊Q8—31no—
451C2×C4⋊Q8—31no—
452C2×C4⋊Q8—31no—
453C2×C4⋊Q8—31no—
454C2×C4⋊Q8—31no—
455C2×C4⋊Q8—31no—
456C2×C4⋊Q8—31no—
457C2×C4⋊Q8—31no—
458C2×C4⋊Q8—31no—
459C2×C4⋊Q8—31no—
460C2×C4⋊Q8—31no—
461C2×C4⋊Q8—31no—
462C2×C4⋊Q8—31no—
463C2×C4⋊Q8—31no—
464C2×C4⋊Q8—31no—
465C2×C4⋊Q8—31no—
466C2×C4⋊Q8—68no—
467C2×C22⋊Q8—31no—
468C2×C22⋊Q8—31no—
469C2×C22⋊Q8—31no—
470C2×C22⋊Q8—31no—
471C2×C22⋊Q8—31no—
472C2×C22⋊Q8—31no—
473C2×C22⋊Q8—31no—
474C2×C22⋊Q8—31no—
475C2×C22⋊Q8—31no—
476C2×C22⋊Q8—31no—
477C2×C22⋊Q8—31no—
478C2×C22⋊Q8—31no—
479C2×C22⋊Q8—31no—
480C2×C22⋊Q8—31no—
481C2×C22⋊Q8—31no—
482C2×C22⋊Q8—31no—
483C2×C22⋊Q8—31no—
484C2×C22⋊Q8C2×D311yescharacteristic
485C2×C22⋊Q8C2×D311yescharacteristic
486C2×#121—31no—
487C2×C4×Q8—31no—
488C2×C4×Q8—31no—
489C2×C4×Q8—31no—
490C2×C4×D4—31no—
491C2×C4×D4—31no—
492C2×C4×D4—31no—
493C2×C4×D4—31no—
494C2×C4×D4—31no—
495C2×C4×D4—31no—
496C2×C4×D4—31no—
497C2×C4×D4—31no—
498C2×C4×D4C2×D311yescharacteristic
499C22×C4⋊C4—31no—
500C22×C4⋊C4—31no—
501C22×C4⋊C4—31no—
502C22×C4⋊C4C2×D311yescharacteristic
503C22×C42—31no—
504#399—31no—
505#399—31no—
506#399—31no—
507#399C2×D311yescharacteristic
508#398—31no—
509#398—31no—
510#398—31no—
511#398—31no—
512#398—31no—
513#398—31no—
514#398—31no—
515#398C2×D311yescharacteristic
516#396—31no—
517#396—31no—
518#396—31no—
519#396C2×D311yescharacteristic
520#395—31no—
521#395—31no—
522#395—31no—
523#395—31no—
524#395—31no—
525#395—31no—
526#395—31no—
527#395—31no—
528#395—31no—
529#395—31no—
530#395—31no—
531#395C2×D311yescharacteristic
532#393—31no—
533#393—31no—
534#393—31no—
535#393—31no—
536#391—31no—
537#391—31no—
538#391—31no—
539#391—31no—
540#391—31no—
541#390—31no—
542#390—31no—
543#390—31no—
544#389—31no—
545#389—31no—
546#389—31no—
547#389—31no—
548#389—31no—
549#389—31no—
550#389—31no—
551#389—31no—
552#389—31no—
553#389—31no—
554#389—31no—
555#389C2×D311yescharacteristic
556#388—31no—
557#388—31no—
558#388—31no—
559#388—31no—
560#388—31no—
561#388—31no—
562#387—31no—
563#387—31no—
564#387—31no—
565#387—31no—
566#387—31no—
567#387C2×D311yescharacteristic
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386C2×D311yescharacteristic
573#386C2×D311yescharacteristic
574#385—31no—
575#385—31no—
576#385—31no—
577#385—31no—
578#385—31no—
579#385—31no—
580#385—31no—
581#385—31no—
582#385—31no—
583#385—31no—
584#385—31no—
585#385C2×D311yescharacteristic
586#385C2×D311yescharacteristic
587#385C2×D311yescharacteristic
588#384—31no—
589#384—31no—
590#380—31no—
591#380—31no—
592C4×C4⋊C4—31no—
593C4×C4⋊C4—31no—
594C4×C4⋊C4—31no—
595C4×C4⋊C4—31no—
596C4×C4⋊C4—31no—
597C4×C4⋊C4—31no—
598C4×C22⋊C4—31no—
599C4×C22⋊C4—31no—
600C4×C22⋊C4—31no—
601C4×C22⋊C4—31no—
602C24×C3C2411yescharacteristic
603C24×C3C2411yescharacteristic
604C23×D3C2411yescharacteristic
605C2×C3×Q8—22no—
606C2×C3×Q8—22no—
607C2×C3×Q8—41no—
608C2×C3×D4—22no—
609C2×C3×D4—22no—
610C2×C3×D4C2×Q814yescomplemented
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—22no—
619C22×C3×C4—22no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67C2×Q814yescomplemented
641C2×#67C2×Q814yescomplemented
642C22×Dic3—22no—
643C22×Dic3—22no—
644C22×Dic3—22no—
645C22×Dic3—22no—
646C22×Dic3—22no—
647C22×Dic3—22no—
648C22×Dic3—22no—
649C22×Dic3—22no—
650C22×Dic3—22no—
651C22×Dic3—22no—
652C22×Dic3—22no—
653C22×Dic3—22no—
654C22×Dic3—22no—
655C22×Dic3—41no—
656C22×Dic3—41no—
657C22×Dic3—41no—
658C22×Dic3C2×D414yes—
659C22×Dic3C2×Q814yescomplemented
660C22×Dic3C2411yescharacteristic
661C22×Dic3C2411yescharacteristic
662C22×Dic3C2411yescharacteristic
663C22×Dic3C2411yescharacteristic
664C22×Dic3C2411yescharacteristic
665C22×Dic3C2411yescharacteristic
666C22×Dic3C2411yescharacteristic
667C22×Dic3C2411yescharacteristic
668C22×Dic3C2411yescharacteristic
669C22×Dic3C2411yescharacteristic
670C22×Dic3C2411yescharacteristic
671C22×Dic3C2411yescharacteristic
672C22×Dic3C2411yescharacteristic
673C22×Dic3C2411yescharacteristic
674C22×Dic3C2411yescharacteristic
675D3×Q8—416no—
676C2×C4×D3—22no—
677C2×C4×D3—22no—
678C2×C4×D3—22no—
679C2×C4×D3—22no—
680C2×C4×D3—22no—
681C2×C4×D3—22no—
682C2×C4×D3—22no—
683C2×C4×D3—41no—
684C2×C4×D3—41no—
685C2×Dic6—22no—
686C2×Dic6—22no—
687C2×Dic6—22no—
688C2×Dic6—22no—
689C2×Dic6—22no—
690C2×Dic6—22no—
691C2×Dic6—22no—
692C2×Dic6—22no—
693C2×Dic6—22no—
694C2×Dic6—22no—
695C2×Dic6—22no—
696C2×Dic6—22no—
697C2×Dic6—22no—
698C2×Dic6—22no—
699C2×Dic6—22no—
700C2×Dic6—22no—
701C2×Dic6—22no—
702C2×Dic6—22no—
703C2×Dic6—22no—
704C2×Dic6—22no—
705C2×Dic6—22no—
706C2×Dic6—22no—
707C2×Dic6—22no—
708C2×Dic6—22no—
709C2×Dic6—22no—
710C2×Dic6—22no—
711C2×Dic6—416no—
712C2×Dic6—416no—
713C2×Dic6—416no—
714C2×Dic6—41no—
715C2×Dic6—41no—
716C2×Dic6—41no—
717C2×Dic6—41no—
718C2×Dic6—41no—
719C2×Dic6—41no—
720C2×Dic6—41no—
721C2×Dic6C2×D414yes—
722C2×Dic6C2×D414yes—
723C2×Dic6C2×D414yes—
724C3×C4⋊C4—22no—
725C3×C4⋊C4—22no—
726C3×C4⋊C4—22no—
727C3×C4⋊C4—22no—
728C3×C4⋊C4—22no—
729C3×C4⋊C4—22no—
730C3×C4⋊C4—22no—
731C3×C4⋊C4—22no—
732C3×C4⋊C4—22no—
733C3×C4⋊C4—22no—
734C3×C4⋊C4—41no—
735C3×C4⋊C4C2×D414yes—
736C3×C22⋊C4—22no—
737C3×C22⋊C4—22no—
738C3×C22⋊C4—22no—
739C3×C22⋊C4—22no—
740C3×C22⋊C4—22no—
741C3×C22⋊C4—22no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4C2×D414yes—
744C3×C42—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750#217—41no—
751#217C2×D414yes—
752#217C2×Q814yescomplemented
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—41no—
761(C2×D3)⋊C4—41no—
762(C2×D3)⋊C4C2×Q814yescomplemented
763C4⋊Dic3—22no—
764C4⋊Dic3—22no—
765C4⋊Dic3—22no—
766C4⋊Dic3—22no—
767C4⋊Dic3—22no—
768C4⋊Dic3—22no—
769C4⋊Dic3—22no—
770C4⋊Dic3—22no—
771C4⋊Dic3—22no—
772C4⋊Dic3—41no—
773C4⋊Dic3C2×D414yes—
774C4⋊Dic3C2×D414yes—
775Dic3⋊C4—22no—
776Dic3⋊C4—22no—
777Dic3⋊C4—22no—
778Dic3⋊C4—22no—
779Dic3⋊C4—22no—
780Dic3⋊C4—22no—
781Dic3⋊C4—22no—
782Dic3⋊C4—22no—
783Dic3⋊C4—22no—
784Dic3⋊C4—22no—
785Dic3⋊C4—22no—
786Dic3⋊C4—22no—
787Dic3⋊C4—22no—
788Dic3⋊C4—22no—
789Dic3⋊C4—22no—
790Dic3⋊C4—22no—
791Dic3⋊C4—22no—
792Dic3⋊C4—22no—
793Dic3⋊C4—22no—
794Dic3⋊C4—22no—
795Dic3⋊C4—22no—
796Dic3⋊C4—22no—
797Dic3⋊C4—22no—
798Dic3⋊C4—41no—
799Dic3⋊C4—41no—
800Dic3⋊C4C2×D414yes—
801Dic3⋊C4C2×D414yes—
802Dic3⋊C4C2×D414yes—
803Dic3⋊C4C2×D414yes—
804Dic3⋊C4C2×Q814yescomplemented
805C4×Dic3—22no—
806C4×Dic3—22no—
807C4×Dic3—22no—
808C4×Dic3—22no—
809C4×Dic3—22no—
810C4×Dic3—22no—
811C4×Dic3—22no—
812C4×Dic3—22no—
813C4×Dic3—22no—
814C4×Dic3—22no—
815C4×Dic3—22no—
816C4×Dic3—22no—
817C4×Dic3C2×D414yes—
818C22×Q8—31no—
819C22×Q8—31no—
820C22×Q8—31no—
821C22×Q8—31no—
822C22×Q8—31no—
823C22×Q8—31no—
824C22×Q8—31no—
825C22×Q8—31no—
826C22×Q8—31no—
827C22×Q8—31no—
828C22×Q8—31no—
829C22×Q8—31no—
830C22×Q8—64no—
831C22×Q8—64no—
832C22×Q8—64no—
833C22×Q8—64no—
834C22×Q8—64no—
835C22×Q8—64no—
836C22×Q8—64no—
837C22×Q8—64no—
838C22×Q8—122no—
839C22×Q8—122no—
840C22×Q8—122no—
841C22×Q8—122no—
842C22×Q8C22×D311yescharacteristic
843C22×D4—31no—
844C22×D4—31no—
845C22×D4C22×D311yescharacteristic
846C23×C4—31no—
847C23×C4—31no—
848C23×C4—31no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4—31no—
855C23×C4C22×D311yescharacteristic
856C23×C4C22×D311yescharacteristic
857C23×C4C22×D311yescharacteristic
858C23×C4C22×D311yescharacteristic
859C4⋊Q8—38no—
860C4⋊Q8—64no—
861C4⋊Q8—64no—
862C4⋊Q8—64no—
863C4⋊Q8—64no—
864C4⋊Q8—64no—
865C4⋊Q8—64no—
866C4⋊Q8—64no—
867C4⋊Q8—64no—
868C4⋊Q8—64no—
869C4⋊Q8—64no—
870C4⋊Q8—64no—
871C4⋊Q8—64no—
872C4⋊Q8—64no—
873C4⋊Q8—64no—
874C4⋊Q8—64no—
875C22⋊Q8—24no—
876C22⋊Q8—24no—
877C22⋊Q8—38no—
878C22⋊Q8—64no—
879C22⋊Q8—64no—
880C22⋊Q8—64no—
881C22⋊Q8—64no—
882C22⋊Q8—64no—
883C22⋊Q8—64no—
884C22⋊Q8—64no—
885C22⋊Q8—64no—
886C22⋊Q8—64no—
887C22⋊Q8—64no—
888C22⋊Q8—64no—
889C22⋊Q8—64no—
890C22⋊Q8—64no—
891C22⋊Q8—64no—
892C22⋊Q8—122no—
893C22⋊Q8—122no—
894#121—38no—
895C4×Q8—64no—
896C4×Q8—64no—
897C4×Q8—64no—
898C4×D4—24no—
899C4×D4—64no—
900C4×D4—64no—
901C4×D4—64no—
902C4×D4—64no—
903C4×D4—64no—
904C4×D4—64no—
905C4×D4—64no—
906C4×D4—64no—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—31no—
918C2×C4⋊C4—31no—
919C2×C4⋊C4—31no—
920C2×C4⋊C4—31no—
921C2×C4⋊C4—31no—
922C2×C4⋊C4—31no—
923C2×C4⋊C4—31no—
924C2×C4⋊C4—31no—
925C2×C4⋊C4—31no—
926C2×C4⋊C4—31no—
927C2×C4⋊C4—31no—
928C2×C4⋊C4—31no—
929C2×C4⋊C4—31no—
930C2×C4⋊C4—31no—
931C2×C4⋊C4—31no—
932C2×C4⋊C4—31no—
933C2×C4⋊C4—31no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
950C2×C4⋊C4—64no—
951C2×C4⋊C4—64no—
952C2×C4⋊C4—64no—
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C4⋊C4C22×D311yescharacteristic
955C2×C4⋊C4C22×D311yescharacteristic
956C2×C4⋊C4C22×D311yescharacteristic
957C2×C4⋊C4C22×D311yescharacteristic
958C2×C4⋊C4C22×D311yescharacteristic
959C2×C4⋊C4C22×D311yescharacteristic
960C2×C4⋊C4C22×D311yescharacteristic
961C2×C4⋊C4C22×D311yescharacteristic
962C2×C4⋊C4C22×D311yescharacteristic
963C2×C4⋊C4C22×D311yescharacteristic
964C2×C4⋊C4C22×D311yescharacteristic
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994C2×C42—31no—
995C2×C42—31no—
996C2×C42—31no—
997C2×C42—31no—
998C2×C42—31no—
999C2×C42—31no—
1000C2×C42—31no—
1001C2×C42—31no—
1002C2×C42—31no—
1003C2×C42—31no—
1004C2×C42—64no—
1005C2×C42C22×D311yescharacteristic
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95—31no—
1015#95—31no—
1016#95—31no—
1017#95—31no—
1018#95—31no—
1019#95—31no—
1020#95—31no—
1021#95—31no—
1022#95—31no—
1023#95—31no—
1024#95—31no—
1025#95—31no—
1026#95—31no—
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95C22×D311yescharacteristic
1031#95C22×D311yescharacteristic
1032#95C22×D311yescharacteristic
1033#95C22×D311yescharacteristic
1034#95C22×D311yescharacteristic
1035#95C22×D311yescharacteristic
1036#95C22×D311yescharacteristic
1037#95C22×D311yescharacteristic
1038C23×C3—21no—
1039C23×C3—21no—
1040C23×C3—21no—
1041C23×C3—21no—
1042C23×C3—21no—
1043C23×C3—21no—
1044C23×C3—21no—
1045C23×C3—21no—
1046C23×C3—21no—
1047C23×C3—21no—
1048C23×C3C22×D412yes—
1049C23×C3C22×Q812yes—
1050C23×C3C22×Q812yes—
1051C23×C32−1+412yes—
1052C23×C3C2511yescharacteristic
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3C22×Q812yes—
1060C3×Q8—44no—
1061C3×D4—28no—
1062C2×C3×C4—28no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—44no—
1096C2×C3×C4—44no—
1097C2×C3×C4—44no—
1098C2×C3×C4C22×D412yes—
1099C2×C3×C4C22×D412yes—
1100C2×C3×C4C22×D412yes—
1101C2×C3×C4C22×D412yes—
1102C2×C3×C4C22×D412yes—
1103C2×C3×C4C22×Q812yes—
1104C2×C3×C42−1+412yes—
1105#67—28no—
1106#67—28no—
1107C2×Dic3—21no—
1108C2×Dic3—21no—
1109C2×Dic3—21no—
1110C2×Dic3—21no—
1111C2×Dic3—21no—
1112C2×Dic3—21no—
1113C2×Dic3—21no—
1114C2×Dic3—21no—
1115C2×Dic3—21no—
1116C2×Dic3—21no—
1117C2×Dic3—21no—
1118C2×Dic3—21no—
1119C2×Dic3—21no—
1120C2×Dic3—21no—
1121C2×Dic3—28no—
1122C2×Dic3—28no—
1123C2×Dic3—21no—
1124C2×Dic3—21no—
1125C2×Dic3—21no—
1126C2×Dic3—21no—
1127C2×Dic3—21no—
1128C2×Dic3—21no—
1129C2×Dic3—21no—
1130C2×Dic3—21no—
1131C2×Dic3—21no—
1132C2×Dic3—21no—
1133C2×Dic3—21no—
1134C2×Dic3—21no—
1135C2×Dic3—21no—
1136C2×Dic3—21no—
1137C2×Dic3—21no—
1138C2×Dic3—21no—
1139C2×Dic3—21no—
1140C2×Dic3—21no—
1141C2×Dic3—44no—
1142C2×Dic3—44no—
1143C2×Dic3—44no—
1144C2×Dic3—44no—
1145C2×Dic3C22×D412yes—
1146C2×Dic3C22×D412yes—
1147C2×Dic3C22×D412yes—
1148C2×Dic3C22×D412yes—
1149C2×Dic3C22×D412yes—
1150C2×Dic3C22×D412yes—
1151C2×Dic3C22×D412yes—
1152C2×Dic3C22×D412yes—
1153C2×Dic3C22×Q812yes—
1154C2×Dic3C22×Q812yes—
1155C2×Dic3C22×Q812yes—
1156C2×Dic3H(5,𝔽2)12yes—
1157C2×Dic32−1+412yes—
1158C4×D3—44no—
1159C4×D3—44no—
1160C4×D3—44no—
1161Dic6—28no—
1162Dic6—28no—
1163Dic6—28no—
1164Dic6—44no—
1165Dic6—44no—
1166Dic6—44no—
1167Dic6—44no—
1168Dic6—44no—
1169Dic6—44no—
1170Dic6—44no—
1171Dic6—44no—
1172Dic6—44no—
1173C24—31no—
1174C24C23×D311yescharacteristic
1175C24C23×D311yescharacteristic
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—34no—
1179C2×Q8—34no—
1180C2×Q8—34no—
1181C2×Q8—41no—
1182C2×Q8—62no—
1183C2×Q8—62no—
1184C2×Q8—62no—
1185C2×Q8—62no—
1186C2×Q8—62no—
1187C2×Q8—62no—
1188C2×Q8—62no—
1189C2×Q8—62no—
1190C2×Q8—62no—
1191C2×Q8—62no—
1192C2×Q8—62no—
1193C2×Q8—62no—
1194C2×Q8—62no—
1195C2×Q8—62no—
1196C2×Q8—62no—
1197C2×Q8—62no—
1198C2×Q8—62no—
1199C2×Q8—62no—
1200C2×Q8—62no—
1201C2×Q8—62no—
1202C2×Q8—62no—
1203C2×Q8—62no—
1204C2×Q8—62no—
1205C2×Q8—62no—
1206C2×Q8—62no—
1207C2×Q8—62no—
1208C2×Q8—121no—
1209C2×Q8—121no—
1210C2×Q8—121no—
1211C2×Q8—121no—
1212C2×Q8—121no—
1213C2×Q8—121no—
1214C2×Q8—121no—
1215C2×Q8—1216no—
1216C2×Q8—1216no—
1217C2×Q8—1216no—
1218C2×Q8—1216no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—34no—
1222C2×D4—34no—
1223C2×D4—62no—
1224C2×D4—62no—
1225C2×D4—62no—
1226C2×D4—62no—
1227C2×D4D3×Q814yescomplemented
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—31no—
1238C22×C4—31no—
1239C22×C4—34no—
1240C22×C4—34no—
1241C22×C4—31no—
1242C22×C4—31no—
1243C22×C4—31no—
1244C22×C4—31no—
1245C22×C4—31no—
1246C22×C4—31no—
1247C22×C4—31no—
1248C22×C4—31no—
1249C22×C4—31no—
1250C22×C4—31no—
1251C22×C4—31no—
1252C22×C4—31no—
1253C22×C4—31no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—62no—
1258C22×C4—62no—
1259C22×C4—62no—
1260C22×C4—62no—
1261C22×C4—62no—
1262C22×C4—62no—
1263C22×C4—62no—
1264C22×C4—62no—
1265C22×C4—62no—
1266C22×C4—62no—
1267C22×C4—62no—
1268C22×C4—62no—
1269C22×C4—62no—
1270C22×C4—62no—
1271C22×C4—62no—
1272C22×C4—62no—
1273C22×C4—62no—
1274C22×C4—62no—
1275C22×C4—62no—
1276C22×C4—62no—
1277C22×C4—121no—
1278C22×C4—121no—
1279C22×C4—121no—
1280C22×C4—121no—
1281C22×C4—121no—
1282C22×C4C23×D311yescharacteristic
1283C22×C4C23×D311yescharacteristic
1284C22×C4C23×D311yescharacteristic
1285C22×C4C23×D311yescharacteristic
1286C22×C4C23×D311yescharacteristic
1287C22×C4C23×D311yescharacteristic
1288C22×C4C23×D311yescharacteristic
1289C22×C4C23×D311yescharacteristic
1290C22×C4C23×D311yescharacteristic
1291C22×C4C23×D311yescharacteristic
1292C22×C4C23×D311yescharacteristic
1293C22×C4C23×D311yescharacteristic
1294C22×C4C23×D311yescharacteristic
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—34no—
1306C4⋊C4—34no—
1307C4⋊C4—34no—
1308C4⋊C4—34no—
1309C4⋊C4—34no—
1310C4⋊C4—34no—
1311C4⋊C4—34no—
1312C4⋊C4—41no—
1313C4⋊C4—62no—
1314C4⋊C4—62no—
1315C4⋊C4—62no—
1316C4⋊C4—62no—
1317C4⋊C4—62no—
1318C4⋊C4—62no—
1319C4⋊C4—62no—
1320C4⋊C4—62no—
1321C4⋊C4—62no—
1322C4⋊C4—62no—
1323C4⋊C4—62no—
1324C4⋊C4—62no—
1325C4⋊C4—62no—
1326C4⋊C4—62no—
1327C4⋊C4—62no—
1328C4⋊C4—62no—
1329C4⋊C4—62no—
1330C4⋊C4—62no—
1331C4⋊C4—62no—
1332C4⋊C4—62no—
1333C4⋊C4—62no—
1334C4⋊C4—62no—
1335C4⋊C4—62no—
1336C4⋊C4—62no—
1337C4⋊C4—62no—
1338C4⋊C4—62no—
1339C4⋊C4—62no—
1340C4⋊C4—62no—
1341C4⋊C4—62no—
1342C4⋊C4—62no—
1343C4⋊C4—62no—
1344C4⋊C4—62no—
1345C4⋊C4—121no—
1346C4⋊C4—121no—
1347C4⋊C4—121no—
1348C4⋊C4D3×D414yes—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—34no—
1356C22⋊C4—34no—
1357C22⋊C4—34no—
1358C22⋊C4—41no—
1359C22⋊C4—62no—
1360C22⋊C4—62no—
1361C22⋊C4—62no—
1362C22⋊C4—62no—
1363C22⋊C4—62no—
1364C22⋊C4—62no—
1365C22⋊C4—62no—
1366C22⋊C4—62no—
1367C22⋊C4—62no—
1368C22⋊C4—62no—
1369C22⋊C4—62no—
1370C22⋊C4—62no—
1371C22⋊C4—121no—
1372C22⋊C4—121no—
1373C22⋊C4—121no—
1374C22⋊C4D3×D414yes—
1375C42—22no—
1376C42—34no—
1377C42—62no—
1378C42—62no—
1379C42—62no—
1380C42—62no—
1381C42—62no—
1382C42—62no—
1383C42—62no—
1384C42—62no—
1385C42—62no—
1386C42—62no—
1387C42—62no—
1388C42—62no—
1389C22×C3—22no—
1390C22×C3—22no—
1391C22×C3—22no—
1392C22×C3—22no—
1393C22×C3—22no—
1394C22×C3—22no—
1395C22×C3—22no—
1396C22×C3—22no—
1397C22×C3—22no—
1398C22×C3—41no—
1399C22×C3—41no—
1400C22×C3—41no—
1401C22×C3—41no—
1402C22×C3D4×Q814yescomplemented
1403C22×C3C23×D411yescharacteristic
1404C22×C3C23×D411yescharacteristic
1405C22×C3C23×Q811yescharacteristic
1406C22×C3C2×H(5,𝔽2)11yescharacteristic
1407C22×C3C2×2−1+411yescharacteristic
1408C22×C3C2×2−1+411yescharacteristic
1409C22×C3C2×2−1+411yescharacteristic
1410C2×D3—22no—
1411C2×D3—22no—
1412C2×D3—22no—
1413C2×D3—41no—
1414C2×D3—41no—
1415C2×D3—41no—
1416C2×D3—41no—
1417C3×C4—22no—
1418C3×C4—22no—
1419C3×C4—22no—
1420C3×C4—22no—
1421C3×C4—22no—
1422C3×C4—22no—
1423C3×C4—22no—
1424C3×C4—41no—
1425C3×C4—41no—
1426C3×C4—41no—
1427C3×C4—41no—
1428C3×C4—41no—
1429C3×C4—41no—
1430Dic3—22no—
1431Dic3—22no—
1432Dic3—22no—
1433Dic3—22no—
1434Dic3—22no—
1435Dic3—22no—
1436Dic3—22no—
1437Dic3—41no—
1438Dic3—41no—
1439Dic3—41no—
1440Dic3—41no—
1441Dic3—41no—
1442Dic3—41no—
1443Dic3D4214yes—
1444Dic3D4×Q814yescomplemented
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—32no—
1456C23—61no—
1457C23—61no—
1458C23—61no—
1459C23—61no—
1460C23—61no—
1461C23—61no—
1462C23C2×D3×D412yes—
1463C23C2×D3×Q812yes—
1464C23C2×D3×Q812yes—
1465C23#101012yes—
1466C23C24×D311yescharacteristic
1467Q8—44no—
1468Q8—68no—
1469Q8—68no—
1470Q8—68no—
1471Q8—124no—
1472Q8—124no—
1473Q8—124no—
1474Q8—124no—
1475Q8—124no—
1476Q8—124no—
1477Q8—124no—
1478Q8—124no—
1479Q8—124no—
1480D4—28no—
1481D4—68no—
1482D4—68no—
1483C2×C4—28no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—32no—
1517C2×C4—32no—
1518C2×C4—32no—
1519C2×C4—32no—
1520C2×C4—32no—
1521C2×C4—32no—
1522C2×C4—32no—
1523C2×C4—32no—
1524C2×C4—32no—
1525C2×C4—32no—
1526C2×C4—32no—
1527C2×C4—32no—
1528C2×C4—32no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—68no—
1533C2×C4—68no—
1534C2×C4—61no—
1535C2×C4—61no—
1536C2×C4—61no—
1537C2×C4—61no—
1538C2×C4—61no—
1539C2×C4—61no—
1540C2×C4—61no—
1541C2×C4—61no—
1542C2×C4—61no—
1543C2×C4—61no—
1544C2×C4—61no—
1545C2×C4—61no—
1546C2×C4—61no—
1547C2×C4—61no—
1548C2×C4—61no—
1549C2×C4—61no—
1550C2×C4—61no—
1551C2×C4—61no—
1552C2×C4—61no—
1553C2×C4—61no—
1554C2×C4—61no—
1555C2×C4—61no—
1556C2×C4—61no—
1557C2×C4—61no—
1558C2×C4—61no—
1559C2×C4—61no—
1560C2×C4—61no—
1561C2×C4—61no—
1562C2×C4—61no—
1563C2×C4—61no—
1564C2×C4—61no—
1565C2×C4—61no—
1566C2×C4—124no—
1567C2×C4—124no—
1568C2×C4—124no—
1569C2×C4—124no—
1570C2×C4—124no—
1571C2×C4—124no—
1572C2×C4—124no—
1573C2×C4C2×D3×D412yes—
1574C2×C4C2×D3×D412yes—
1575C2×C4C2×D3×D412yes—
1576C2×C4C2×D3×D412yes—
1577C2×C4C2×D3×D412yes—
1578C2×C4C2×D3×Q812yes—
1579C2×C4#101012yes—
1580C2×C3—24no—
1581C2×C3—42no—
1582C2×C3C2×D4211yescharacteristic
1583C2×C3C2×D4×Q811yescharacteristic
1584C2×C3C2×D4×Q811yescharacteristic
1585C2×C3#348611yescharacteristic
1586C2×C3#349911yescharacteristic
1587C2×C3#350311yescharacteristic
1588C2×C3#355211yescharacteristic
1589D3—42no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—62no—
1604C22—62no—
1605C22—62no—
1606C22—121no—
1607C22—121no—
1608C22—121no—
1609C22—121no—
1610C22#563214yescomplemented
1611C22C22×D3×D411yescharacteristic
1612C22C22×D3×D411yescharacteristic
1613C22C22×D3×Q811yescharacteristic
1614C22C2×#101011yescharacteristic
1615C22C2×#101011yescharacteristic
1616C22D3×H(5,𝔽2)11yescharacteristic
1617C22D3×2−1+411yescharacteristic
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—22no—
1625C4—34no—
1626C4—34no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—62no—
1634C4—62no—
1635C4—62no—
1636C4—62no—
1637C4—62no—
1638C4—62no—
1639C4—62no—
1640C4—121no—
1641C4—121no—
1642C4—121no—
1643C4—121no—
1644C4—121no—
1645C4—121no—
1646C3#5912711yescharacteristic, complemented, Sylow
1647C2—24no—
1648C2—42no—
1649C2—122no—
1650C2C2×#563211yescharacteristic
1651C2#8602211yescharacteristic
1652C2#8643811yescharacteristic
1653C2D3×D4211yescharacteristic
1654C2#8667911yescharacteristic
1655C2D3×D4×Q811yescharacteristic
1656C2#8692611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2449C2
prime radicalC2×#939C22
hypercenter#2449D3
hypocenterC3#59127
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#5632C2semidirect
2. C2×#5632C2semidirect
3. C2×D4×Dic6C2semidirect
4. C22×#888C2semidirect
5. C3×#2449C2semidirect
6. #82791C2semidirect
7. #82763C2semidirect
9. #82173C2semidirect
10. #78061C2semidirect
11. #78037C2semidirect
12. #77968C2semidirect
13. #77785C2semidirect
14. #77290C2semidirect
15. #77287C2semidirect
16. #77186C2semidirect
17. #77173C2semidirect
18. #76064C2semidirect
19. #75996C2semidirect
20. #75390C2semidirect
21. #74967C2semidirect
22. #74710C2semidirect
23. #74689C2semidirect
26. #74425C2semidirect
27. #74422C2semidirect
28. #74416C2semidirect
29. #74412C2semidirect
30. #74405C2semidirect
31. #74381C2semidirect
209. #2449D3semidirect
299. #939Q8semidirect
394. #888D4semidirect
408. #878D4semidirect
610. C2×C3×D4C2×Q8semidirect
640. C2×#67C2×Q8semidirect
641. C2×#67C2×Q8semidirect
659. C22×Dic3C2×Q8semidirect
752. #217C2×Q8semidirect
762. (C2×D3)⋊C4C2×Q8semidirect
804. Dic3⋊C4C2×Q8semidirect
1227. C2×D4D3×Q8semidirect
1402. C22×C3D4×Q8semidirect
1444. Dic3D4×Q8semidirect
1610. C22#5632semidirect
1646. C3#59127semidirect

Maximal subgroups

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

subgroupindex
C2×#56322
C2×D4×Dic62
C22×#8882
C3×#24492
#827912
#827632
#823402
#821732
#780612
#780372
#779682
#777852
#772902
#772872
#771862
#771732
#760642
#759962
#753902
#749672
#747102
#746892
#746762
#746602
#744252
#744222
#744162
#744122
#744052
#743812
#591273