Finite Group Databasebeta

← #11097449

Subgroups — #11097449

Order 768.

3136 conjugacy classes of subgroups.

The subgroup lattice has 2016 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5490C211yesmaximal, characteristic, complemented
2C2×#5493C211yesmaximal, characteristic, complemented
3C3×#2342C211yesmaximal, characteristic, complemented
4#82286C211yesmaximal, characteristic, complemented
5#82276C211yesmaximal, characteristic, complemented
6#82127C211yesmaximal, characteristic, complemented
7C2×#4960C211yesmaximal, characteristic, complemented
8#75927C211yesmaximal, characteristic, complemented
9#75927C211yesmaximal, characteristic, complemented
10#75916C211yesmaximal, characteristic, complemented
11#75913C211yesmaximal, characteristic, complemented
12#75912C211yesmaximal, characteristic, complemented
13#75912C211yesmaximal, characteristic, complemented
14#75690C211yesmaximal, characteristic, complemented
15#75687C211yesmaximal, characteristic, complemented
16#74605C211yesmaximal, characteristic, complemented
17#74601C211yesmaximal, characteristic, complemented
18#74410C211yesmaximal, characteristic, complemented
19#74406C211yesmaximal, characteristic, complemented
20#74144C211yesmaximal, characteristic, complemented
21#74137C211yesmaximal, characteristic, complemented
22#74046C211yesmaximal, characteristic, complemented
23#74030C211yesmaximal, characteristic, complemented
24#73855C211yesmaximal, characteristic, complemented
25#73852C211yesmaximal, characteristic, complemented
26#73611C211yesmaximal, characteristic, complemented
27#73597C211yesmaximal, characteristic, complemented
28#73594C211yesmaximal, characteristic, complemented
29#73587C211yesmaximal, characteristic, complemented
30#73586C211yesmaximal, characteristic, complemented
31#73504C211yesmaximal, characteristic, complemented
32#40485—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C23×#67C2211yescharacteristic
36C22×#235C2211yescharacteristic, complemented
37C23×D12C2211yescharacteristic, complemented
38C2×C3×#117C2211yescharacteristic, complemented
39C22×C3×C22⋊C4C2211yescharacteristic
40C22×C3×C22⋊C4C2211yescharacteristic
41C2×#953C2211yescharacteristic
42C2×#930C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#930C2211yescharacteristic, complemented
45C2×#930C2211yescharacteristic, complemented
46C2×#930C2211yescharacteristic, complemented
47C2×#930C2211yescharacteristic, complemented
48C2×#930C2211yescharacteristic, complemented
49C2×#929C2211yescharacteristic, complemented
50C2×C4×#67C2211yescharacteristic, complemented
51C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53C2×#895C2211yescharacteristic, complemented
54C2×#895C2211yescharacteristic, complemented
55C2×#895C2211yescharacteristic, complemented
56#5493—28no—
57C2×#886C2211yescharacteristic
58C2×#886C2211yescharacteristic
59C2×#886C2211yescharacteristic, complemented
60C2×#886C2211yescharacteristic, complemented
61C2×#886C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic, complemented
63#5490—28no—
64C2×#884C2211yescharacteristic, complemented
65C2×#884C2211yescharacteristic, complemented
66C2×#883C2211yescharacteristic, complemented
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic, complemented
74C2×#882C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×#882C2211yescharacteristic, complemented
77C2×#882C2211yescharacteristic, complemented
78C2×#67⋊C4C2211yescharacteristic, complemented
79C2×D3×C22⋊C4C2211yescharacteristic, complemented
80C2×#878C2211yescharacteristic, complemented
81C2×#875C2211yescharacteristic, complemented
82C2×#874C2211yescharacteristic, complemented
83C2×#874C2211yescharacteristic, complemented
84C3×#388C2211yescharacteristic, complemented
85C3×#388C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic, complemented
88C3×#385C2211yescharacteristic, complemented
89C3×#385C2211yescharacteristic, complemented
90C3×#381C2211yescharacteristic, complemented
91C3×#380C2211yescharacteristic, complemented
92C3×#379C2211yescharacteristic
93C3×C4×C22⋊C4C2211yescharacteristic, complemented
94C3×C4×C22⋊C4C2211yescharacteristic, complemented
95C3×C4×C22⋊C4C2211yescharacteristic, complemented
96#5213C2211yescharacteristic
97#5213C2211yescharacteristic
98C2×C3⋊#95C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4991C2211yescharacteristic, complemented
102#4991C2211yescharacteristic, complemented
103#4991C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4988C2211yescharacteristic, complemented
108#4987C2211yescharacteristic, complemented
109#4987C2211yescharacteristic, complemented
110#4987C2211yescharacteristic, complemented
111#4984C2211yescharacteristic, complemented
112#4961C2211yescharacteristic, complemented
113#4961C2211yescharacteristic, complemented
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4960C2211yescharacteristic
119#4960C2211yescharacteristic
120#4960C2211yescharacteristic
121#4960C2211yescharacteristic
122#4960C2211yescharacteristic, complemented
123#4960C2211yescharacteristic, complemented
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4960C2211yescharacteristic, complemented
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4958C2211yescharacteristic
137#4958C2211yescharacteristic
138#4958C2211yescharacteristic, complemented
139#4958C2211yescharacteristic, complemented
140#4958C2211yescharacteristic, complemented
141#4955C2211yescharacteristic, complemented
142#4955C2211yescharacteristic, complemented
143#4950C2211yescharacteristic, complemented
144#4943C2211yescharacteristic, complemented
145#4940C2211yescharacteristic, complemented
146#4940C2211yescharacteristic, complemented
147#4940C2211yescharacteristic, complemented
148#4940C2211yescharacteristic, complemented
149#4939C2211yescharacteristic, complemented
150#4939C2211yescharacteristic, complemented
151#4939C2211yescharacteristic, complemented
152#4939C2211yescharacteristic, complemented
153#4939C2211yescharacteristic, complemented
154#4939C2211yescharacteristic, complemented
155#4939C2211yescharacteristic, complemented
156#4936C2211yescharacteristic, complemented
157#4929C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4677C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4674C2211yescharacteristic, complemented
163#4674C2211yescharacteristic, complemented
164#4674C2211yescharacteristic, complemented
165#4673C2211yescharacteristic, complemented
166#4673C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4672C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4671C2211yescharacteristic, complemented
171#4671C2211yescharacteristic, complemented
172#4671C2211yescharacteristic, complemented
173#4671C2211yescharacteristic, complemented
174#4671C2211yescharacteristic, complemented
175#4671C2211yescharacteristic, complemented
176#4671C2211yescharacteristic, complemented
177#4671C2211yescharacteristic, complemented
178#4671C2211yescharacteristic, complemented
179#4670C2211yescharacteristic, complemented
180#4670C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4661C2211yescharacteristic, complemented
188#4659C2211yescharacteristic, complemented
189#4659C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#534—31no—
192#2815—31no—
193#2813—31no—
194#2710—31no—
195#2706—31no—
196#2703—31no—
197#2703—31no—
198#2678—31no—
199#2670—31no—
200#2669—31no—
201#2669—31no—
202#2661—31no—
203#2635—31no—
204#2619—31no—
205#2615—31no—
206#2613—31no—
207#2539—31no—
208#2488—31no—
209#2472—31no—
210#2433—31no—
211#2431—31no—
212#2425—31no—
213#2424—31no—
214#2414—31no—
215#2412—31no—
216#2410—31no—
217#2410—31no—
218#2403—31no—
219C2×#392—31no—
220#2342D311yescharacteristic, complemented
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67—24no—
230C22×#67—24no—
231C22×#67—24no—
232C22×#67—42no—
233C22×#67—42no—
234C22×#67—42no—
235C22×#67—42no—
236C22×#67—42no—
237C22×#67—42no—
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C22×#67C2311yescharacteristic
248C22×#67C2311yescharacteristic
249C22×#67C2311yescharacteristic
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C2×#235—24no—
257C2×#235—42no—
258C2×#235—42no—
259C22×D12—42no—
260C22×D12—42no—
261C22×D12—42no—
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×D12C2311yescharacteristic
268C22×D12C2311yescharacteristic
269C22×D12C2311yescharacteristic
270C22×D12C2311yescharacteristic
271C22×D12C2311yescharacteristic
272C22×D12C2311yescharacteristic
273C22×D12C2311yescharacteristic
274C22×D12C2311yescharacteristic
275C22×D12C2311yescharacteristic
276C22×D12C2311yescharacteristic
277C22×D12C2311yescharacteristic
278C22×D12C2311yescharacteristic
279C22×D12C2311yescharacteristic
280C22×C4×D3C2311yescharacteristic
281C22×C4×D3C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×Dic6C2311yescharacteristic
284C3×#117—42no—
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4—42no—
290C2×C3×C22⋊C4D418yescomplemented
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C22⋊C4C2311yescharacteristic
305C2×C3×C42C2311yescharacteristic
306C2×C3×C42C2311yescharacteristic
307C2×C3×C42C2311yescharacteristic
308C2×C3×C42C2311yescharacteristic
309#953—24no—
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313#930—24no—
314#930—24no—
315#930—24no—
316#930—24no—
317#930—24no—
318#930—42no—
319#930—42no—
320#929—24no—
321C4×#67—24no—
322C2×(C2×D3)⋊C4—42no—
323C2×(C2×D3)⋊C4—42no—
324C2×(C2×D3)⋊C4C2311yescharacteristic
325C2×(C2×D3)⋊C4C2311yescharacteristic
326C2×(C2×D3)⋊C4C2311yescharacteristic
327C2×(C2×D3)⋊C4C2311yescharacteristic
328C2×(C2×D3)⋊C4C2311yescharacteristic
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×C4⋊Dic3C2311yescharacteristic
372C2×C4⋊Dic3C2311yescharacteristic
373C2×C4⋊Dic3C2311yescharacteristic
374C2×C4⋊Dic3C2311yescharacteristic
375C2×C4⋊Dic3C2311yescharacteristic
376C2×C4⋊Dic3C2311yescharacteristic
377C2×C4⋊Dic3C2311yescharacteristic
378C2×Dic3⋊C4C2311yescharacteristic
379C2×Dic3⋊C4C2311yescharacteristic
380C2×Dic3⋊C4C2311yescharacteristic
381C2×C4×Dic3C2311yescharacteristic
382#895—42no—
383#895—42no—
384#895—42no—
385#886—24no—
386#886—24no—
387#886—24no—
388#886—24no—
389#886—42no—
390#885—24no—
391#884—24no—
392#884—24no—
393#883—24no—
394#882—24no—
395#882—24no—
396#882—24no—
397#882—24no—
398#882—24no—
399#882—42no—
400#882—42no—
401#882—42no—
402#882—42no—
403#882—42no—
404#882—42no—
405#67⋊C4—24no—
406D3×C22⋊C4—24no—
407#878—24no—
408#875—42no—
409#874—42no—
410#874—42no—
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
435C22×#41—31no—
436C23×D4—31no—
437C23×D4—31no—
438C23×D4—31no—
439C23×D4—31no—
440#546—68no—
441#534—68no—
442C2×#127—31no—
443C2×#127—31no—
444C2×#124—31no—
445C2×#124—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#123—31no—
450C2×#123—31no—
451C2×#123—31no—
452C2×#123—31no—
453C2×C22⋊Q8—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#121—31no—
459C2×#121—31no—
460C2×#121—31no—
461C2×#121—31no—
462C2×#121—31no—
463C2×#121—31no—
464C2×#121—31no—
465C2×#121—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×#120—31no—
469C2×#120—31no—
470C2×#120—31no—
471C2×#120—31no—
472C2×#120—31no—
473C2×#120—31no—
474C2×#120—31no—
475C2×#120—31no—
476C2×#120—31no—
477C2×#120—31no—
478C2×C4×D4—31no—
479C2×C4×D4—31no—
480C2×#117C2×D311yescharacteristic, complemented
481C22×C22⋊C4—31no—
482C22×C22⋊C4—31no—
483C22×C22⋊C4—31no—
484C22×C22⋊C4C2×D311yescharacteristic
485C22×C22⋊C4C2×D311yescharacteristic
486#400—31no—
487#400—31no—
488#399—31no—
489#399—31no—
490#398—31no—
491#397—31no—
492#397—31no—
493#397—31no—
494#397—31no—
495#397—31no—
496#396—31no—
497#396—31no—
498#394—31no—
499#394—31no—
500#394—31no—
501#394—31no—
502#394—31no—
503#394—31no—
504#394—31no—
505#394—31no—
506#394—31no—
507#394—31no—
508#394—31no—
509#394—31no—
510#394—31no—
511#394—31no—
512#394—31no—
513#393—31no—
514#393—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#392—31no—
525#392—31no—
526#392—31no—
527#392—31no—
528#392—31no—
529#392—31no—
530#392—31no—
531#392—31no—
532#392—31no—
533#392—31no—
534#392—31no—
535#392—31no—
536#392—31no—
537#392—31no—
538#392—31no—
539#392—31no—
540#392—31no—
541#392—31no—
542#391—31no—
543#390—31no—
544#390—31no—
545#390—31no—
546#390—31no—
547#390—31no—
548#390—31no—
549#390—31no—
550#390—31no—
551#389—31no—
552#388—31no—
553#388—31no—
554#388—31no—
555#388—31no—
556#388—31no—
557#388—31no—
558#388C2×D311yescharacteristic, complemented
559#388C2×D311yescharacteristic, complemented
560#388C2×D311yescharacteristic, complemented
561#388C2×D311yescharacteristic, complemented
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386—31no—
570#386—31no—
571#386—31no—
572#386—31no—
573#386—31no—
574#386—31no—
575#385—31no—
576#385C2×D311yescharacteristic, complemented
577#385C2×D311yescharacteristic, complemented
578#382—31no—
579#381—31no—
580#381C2×D311yescharacteristic, complemented
581#380—31no—
582#380—31no—
583#380—31no—
584#380C2×D311yescharacteristic, complemented
585#379—31no—
586#379—31no—
587#379C2×D311yescharacteristic
588C4×C22⋊C4C2×D311yescharacteristic, complemented
589C4×C22⋊C4C2×D311yescharacteristic, complemented
590C4×C22⋊C4C2×D311yescharacteristic, complemented
591C2×#95—31no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—41no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3C2×D414yes—
599C24×C3C2411yescharacteristic
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C23×D3—22no—
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—41no—
611C23×D3—41no—
612C23×D3—41no—
613C23×D3—41no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3—41no—
622C23×D3—41no—
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C23×D3C2411yescharacteristic
627C23×D3C2411yescharacteristic
628C23×D3C2411yescharacteristic
629C23×D3C2411yescharacteristic
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4C2×D414yescomplemented
641C22×C3×C4C2×D414yescomplemented
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—22no—
667C2×#67—22no—
668C2×#67—22no—
669C2×#67—22no—
670C2×#67—22no—
671C2×#67—22no—
672C2×#67—22no—
673C2×#67—22no—
674C2×#67—22no—
675C2×#67—22no—
676C2×#67—22no—
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—41no—
680C2×#67—41no—
681C2×#67—41no—
682C2×#67—41no—
683C2×#67—41no—
684C2×#67—41no—
685C2×#67—41no—
686C2×#67—41no—
687C2×#67—41no—
688C2×#67—41no—
689C2×#67—41no—
690C2×#67—41no—
691C2×#67—41no—
692C2×#67—41no—
693C2×#67—41no—
694C2×#67—41no—
695C2×#67—41no—
696C2×#67—41no—
697C2×#67—41no—
698C2×#67—41no—
699C2×#67—416no—
700C2×#67—416no—
701C2×#67—416no—
702C22×Dic3—22no—
703C22×Dic3—22no—
704C22×Dic3—22no—
705C22×Dic3—22no—
706C22×Dic3—22no—
707C22×Dic3—22no—
708C22×Dic3—41no—
709C22×Dic3—41no—
710C22×Dic3—41no—
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720#235—416no—
721C2×D12—22no—
722C2×D12—22no—
723C2×D12—22no—
724C2×D12—22no—
725C2×D12—22no—
726C2×D12—22no—
727C2×D12—22no—
728C2×D12—22no—
729C2×D12—22no—
730C2×D12—22no—
731C2×D12—22no—
732C2×D12—22no—
733C2×D12—22no—
734C2×D12—22no—
735C2×D12—41no—
736C2×D12—41no—
737C2×D12—41no—
738C2×D12—41no—
739C2×D12—41no—
740C2×D12—41no—
741C2×D12—41no—
742C2×D12—41no—
743C2×D12—41no—
744C2×D12—416no—
745C2×D12—41no—
746C2×D12—41no—
747C2×D12—41no—
748C2×D12—41no—
749C2×D12—41no—
750C2×D12—41no—
751C2×D12—41no—
752C2×D12—41no—
753C2×D12—41no—
754C2×D12—41no—
755C2×D12—41no—
756C2×D12—41no—
757C2×D12—41no—
758C2×D12—41no—
759C2×D12—41no—
760C2×D12—41no—
761C2×D12—41no—
762C2×D12—41no—
763C2×D12—41no—
764C2×D12—41no—
765C2×D12—41no—
766C2×D12—41no—
767C2×D12—41no—
768C2×D12—41no—
769C2×D12—41no—
770C2×D12—41no—
771C2×D12—41no—
772C2×D12—41no—
773C2×D12—41no—
774C2×D12—41no—
775C2×D12—41no—
776C2×C4×D3—22no—
777C2×C4×D3—22no—
778C2×C4×D3—22no—
779C2×C4×D3—22no—
780C2×C4×D3—22no—
781C2×C4×D3—41no—
782C2×C4×D3—41no—
783C2×C4×D3—41no—
784C2×C4×D3—41no—
785C2×Dic6—22no—
786C2×Dic6—22no—
787C2×Dic6—41no—
788C3×C4⋊C4—22no—
789C3×C4⋊C4—41no—
790C3×C4⋊C4—41no—
791C3×C4⋊C4—41no—
792C3×C22⋊C4—22no—
793C3×C22⋊C4—22no—
794C3×C22⋊C4—22no—
795C3×C22⋊C4—22no—
796C3×C22⋊C4—41no—
797C3×C22⋊C4—41no—
798C3×C22⋊C4—41no—
799C3×C22⋊C4—41no—
800C3×C22⋊C4—41no—
801C3×C22⋊C4—41no—
802C3×C22⋊C4C2×D414yes—
803C3×C22⋊C4C2×D414yes—
804C3×C22⋊C4C2×D414yescomplemented
805C3×C22⋊C4C2×D414yescomplemented
806C3×C42—22no—
807C3×C42—41no—
808C3×C42—41no—
809C3×C42—41no—
810#217—22no—
811#217—22no—
812#217—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—22no—
830(C2×D3)⋊C4—22no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4—41no—
848(C2×D3)⋊C4—41no—
849(C2×D3)⋊C4—41no—
850(C2×D3)⋊C4—41no—
851(C2×D3)⋊C4—41no—
852(C2×D3)⋊C4—41no—
853(C2×D3)⋊C4—41no—
854(C2×D3)⋊C4—41no—
855(C2×D3)⋊C4—41no—
856(C2×D3)⋊C4—41no—
857(C2×D3)⋊C4—41no—
858C4⋊Dic3—22no—
859C4⋊Dic3—22no—
860C4⋊Dic3—22no—
861C4⋊Dic3—22no—
862C4⋊Dic3—22no—
863C4⋊Dic3—41no—
864C4⋊Dic3—41no—
865C4⋊Dic3—41no—
866C4⋊Dic3—41no—
867Dic3⋊C4—22no—
868Dic3⋊C4—22no—
869Dic3⋊C4—22no—
870C4×Dic3—22no—
871C25—31no—
872C25—31no—
873C25—31no—
874C25C22×D311yescharacteristic
875C2×#41—64no—
876C2×#41—122no—
877C2×#41—122no—
878C22×Q8—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—31no—
892C22×D4—31no—
893C22×D4—31no—
894C22×D4—31no—
895C22×D4—31no—
896C22×D4—31no—
897C22×D4—31no—
898C22×D4—31no—
899C22×D4—31no—
900C22×D4—31no—
901C22×D4—31no—
902C22×D4—31no—
903C22×D4—31no—
904C22×D4—31no—
905C22×D4—31no—
906C22×D4—31no—
907C22×D4—31no—
908C22×D4—31no—
909C22×D4—31no—
910C22×D4—31no—
911C22×D4—31no—
912C22×D4—64no—
913C22×D4—64no—
914C22×D4—64no—
915C22×D4—122no—
916C22×D4—122no—
917C22×D4—122no—
918C22×D4—122no—
919C22×D4—122no—
920C22×D4—122no—
921C22×D4—122no—
922C22×D4—122no—
923C22×D4—122no—
924C23×C4—31no—
925C23×C4—31no—
926C23×C4—31no—
927C23×C4—31no—
928C23×C4—31no—
929C23×C4—31no—
930C23×C4C22×D311yescharacteristic
931C23×C4C22×D311yescharacteristic
932C23×C4C22×D311yescharacteristic
933C23×C4C22×D311yescharacteristic
934#127—122no—
935#127—122no—
936#124—64no—
937#124—122no—
938#123—64no—
939#123—64no—
940#123—64no—
941#123—64no—
942#123—64no—
943#123—64no—
944#123—122no—
945C22⋊Q8—64no—
946#121—64no—
947#121—64no—
948#121—64no—
949#121—64no—
950#121—64no—
951#121—64no—
952#121—64no—
953#121—122no—
954#121—122no—
955#121—122no—
956#121—122no—
957#121—122no—
958#120—64no—
959#120—64no—
960#120—64no—
961#120—64no—
962#120—64no—
963#120—64no—
964#120—122no—
965#120—122no—
966#120—122no—
967#120—122no—
968#120—122no—
969#120—122no—
970C4×D4—64no—
971C4×D4—64no—
972#117—42no—
973C2×C4⋊C4—31no—
974C2×C4⋊C4—31no—
975C2×C4⋊C4—31no—
976C2×C4⋊C4—31no—
977C2×C4⋊C4—31no—
978C2×C4⋊C4—31no—
979C2×C4⋊C4—31no—
980C2×C4⋊C4—31no—
981C2×C4⋊C4—31no—
982C2×C4⋊C4—31no—
983C2×C4⋊C4—31no—
984C2×C4⋊C4—31no—
985C2×C4⋊C4C22×D311yescharacteristic
986C2×C4⋊C4C22×D311yescharacteristic
987C2×C4⋊C4C22×D311yescharacteristic
988C2×C4⋊C4C22×D311yescharacteristic
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—31no—
1020C2×C22⋊C4—31no—
1021C2×C22⋊C4—31no—
1022C2×C22⋊C4—31no—
1023C2×C22⋊C4—31no—
1024C2×C22⋊C4—31no—
1025C2×C22⋊C4—31no—
1026C2×C22⋊C4—31no—
1027C2×C22⋊C4—31no—
1028C2×C22⋊C4—31no—
1029C2×C22⋊C4—31no—
1030C2×C22⋊C4—31no—
1031C2×C22⋊C4—31no—
1032C2×C22⋊C4—31no—
1033C2×C22⋊C4—31no—
1034C2×C22⋊C4—31no—
1035C2×C22⋊C4—31no—
1036C2×C22⋊C4—31no—
1037C2×C22⋊C4—42no—
1038C2×C22⋊C4—64no—
1039C2×C22⋊C4—122no—
1040C2×C22⋊C4—122no—
1041C2×C22⋊C4D1218yescomplemented
1042C2×C22⋊C4C22×D311yescharacteristic
1043C2×C22⋊C4C22×D311yescharacteristic
1044C2×C22⋊C4C22×D311yescharacteristic
1045C2×C22⋊C4C22×D311yescharacteristic
1046C2×C22⋊C4C22×D311yescharacteristic
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic
1049C2×C22⋊C4C22×D311yescharacteristic
1050C2×C22⋊C4C22×D311yescharacteristic
1051C2×C22⋊C4C22×D311yescharacteristic
1052C2×C22⋊C4C22×D311yescharacteristic
1053C2×C22⋊C4C22×D311yescharacteristic
1054C2×C22⋊C4C22×D311yescharacteristic
1055C2×C22⋊C4C22×D311yescharacteristic
1056C2×C42—31no—
1057C2×C42C22×D311yescharacteristic
1058C2×C42C22×D311yescharacteristic
1059C2×C42C22×D311yescharacteristic
1060C2×C42C22×D311yescharacteristic
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95—31no—
1077#95C22×D311yescharacteristic
1078#95C22×D311yescharacteristic
1079#95C22×D311yescharacteristic
1080#95C22×D311yescharacteristic
1081#95C22×D311yescharacteristic
1082#95C22×D311yescharacteristic
1083#95C22×D311yescharacteristic
1084#95C22×D311yescharacteristic
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—28no—
1102C23×C3—44no—
1103C23×C3—44no—
1104C23×C3—82no—
1105C23×C3—82no—
1106C23×C3—82no—
1107C23×C3—82no—
1108C23×C3C22×D412yes—
1109C23×C3C22×D412yes—
1110C23×C3C22×D412yes—
1111C23×C3H(5,𝔽2)12yes—
1112C23×C3H(5,𝔽2)12yes—
1113C23×C3C2511yescharacteristic
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—21no—
1147C22×D3—21no—
1148C22×D3—21no—
1149C22×D3—21no—
1150C22×D3—21no—
1151C22×D3—21no—
1152C22×D3—21no—
1153C22×D3—21no—
1154C22×D3—21no—
1155C22×D3—21no—
1156C22×D3—21no—
1157C22×D3—21no—
1158C22×D3—21no—
1159C22×D3—21no—
1160C22×D3—21no—
1161C22×D3—21no—
1162C22×D3—44no—
1163C22×D3—44no—
1164C22×D3—44no—
1165C22×D3—44no—
1166C22×D3—44no—
1167C22×D3—44no—
1168C22×D3—44no—
1169C22×D3—44no—
1170C22×D3—82no—
1171C22×D3—82no—
1172C22×D3—82no—
1173C22×D3—82no—
1174C22×D3—82no—
1175C22×D3—82no—
1176C22×D3—82no—
1177C22×D3—82no—
1178C22×D3—82no—
1179C22×D3—82no—
1180C22×D3—82no—
1181C22×D3—82no—
1182C22×D3—82no—
1183C22×D3H(5,𝔽2)12yes—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—21no—
1190C2×C3×C4—21no—
1191C2×C3×C4—21no—
1192C2×C3×C4—21no—
1193C2×C3×C4—21no—
1194C2×C3×C4—21no—
1195C2×C3×C4—21no—
1196C2×C3×C4—21no—
1197C2×C3×C4—21no—
1198C2×C3×C4—21no—
1199C2×C3×C4—21no—
1200C2×C3×C4—21no—
1201C2×C3×C4—21no—
1202C2×C3×C4—21no—
1203C2×C3×C4—21no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—21no—
1214C2×C3×C4—21no—
1215C2×C3×C4—44no—
1216C2×C3×C4—44no—
1217C2×C3×C4—44no—
1218C2×C3×C4—82no—
1219C2×C3×C4C22×D412yes—
1220C2×C3×C4C22×D412yes—
1221C2×C3×C4C22×D412yes—
1222C2×C3×C4C22×D412yes—
1223C2×C3×C4H(5,𝔽2)12yes—
1224#67—28no—
1225#67—44no—
1226#67—44no—
1227#67—44no—
1228#67—44no—
1229#67—44no—
1230#67—44no—
1231#67—44no—
1232#67—44no—
1233#67—44no—
1234#67—44no—
1235#67—44no—
1236#67—44no—
1237#67—44no—
1238#67—82no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—44no—
1266C2×Dic3—44no—
1267C2×Dic3—44no—
1268C2×Dic3H(5,𝔽2)12yes—
1269D12—44no—
1270D12—44no—
1271D12—44no—
1272D12—44no—
1273D12—44no—
1274D12—82no—
1275D12—82no—
1276D12—82no—
1277D12—82no—
1278D12—82no—
1279D12—82no—
1280D12—82no—
1281D12—82no—
1282D12—82no—
1283D12—82no—
1284D12—82no—
1285D12—82no—
1286D12—82no—
1287C4×D3—44no—
1288C4×D3—44no—
1289C4×D3—82no—
1290Dic6—44no—
1291C24—22no—
1292C24—22no—
1293C24—31no—
1294C24—31no—
1295C24—31no—
1296C24—31no—
1297C24—31no—
1298C24—31no—
1299C24—31no—
1300C24—41no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24—62no—
1305C24—62no—
1306C24—62no—
1307C24—62no—
1308C24—62no—
1309C24—62no—
1310C24—62no—
1311C24—62no—
1312C24—121no—
1313C24—121no—
1314C24—121no—
1315C24—121no—
1316C24—121no—
1317C24—121no—
1318C24—121no—
1319C24—121no—
1320C24—121no—
1321C24—121no—
1322C24—121no—
1323C24—121no—
1324C24—121no—
1325C24C2×D1214yes—
1326C24C23×D311yescharacteristic
1327C24C23×D311yescharacteristic
1328C24C23×D311yescharacteristic
1329#41—1216no—
1330C2×Q8—62no—
1331C2×Q8—62no—
1332C2×Q8—121no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—62no—
1352C2×D4—62no—
1353C2×D4—62no—
1354C2×D4—62no—
1355C2×D4—62no—
1356C2×D4—62no—
1357C2×D4—62no—
1358C2×D4—62no—
1359C2×D4—62no—
1360C2×D4—62no—
1361C2×D4—62no—
1362C2×D4—62no—
1363C2×D4—62no—
1364C2×D4—62no—
1365C2×D4—62no—
1366C2×D4—62no—
1367C2×D4—62no—
1368C2×D4—62no—
1369C2×D4—62no—
1370C2×D4—62no—
1371C2×D4—62no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—121no—
1377C2×D4—121no—
1378C2×D4—121no—
1379C2×D4—121no—
1380C2×D4—121no—
1381C2×D4—121no—
1382C2×D4—121no—
1383C2×D4—121no—
1384C2×D4—121no—
1385C2×D4—121no—
1386C2×D4—121no—
1387C2×D4—121no—
1388C2×D4—121no—
1389C2×D4—121no—
1390C2×D4—121no—
1391C2×D4—121no—
1392C2×D4—121no—
1393C2×D4—121no—
1394C2×D4—121no—
1395C2×D4—121no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—121no—
1405C2×D4—121no—
1406C2×D4—121no—
1407C2×D4—121no—
1408C2×D4—121no—
1409C2×D4—121no—
1410C2×D4—121no—
1411C2×D4—121no—
1412C2×D4—1216no—
1413C2×D4—121no—
1414C2×D4—121no—
1415C2×D4—121no—
1416C2×D4—121no—
1417C2×D4—121no—
1418C2×D4—121no—
1419C2×D4—121no—
1420C2×D4—121no—
1421C2×D4—121no—
1422C2×D4—121no—
1423C2×D4—121no—
1424C2×D4—121no—
1425C2×D4—121no—
1426C2×D4—121no—
1427C2×D4—121no—
1428C2×D4—121no—
1429C2×D4—121no—
1430C2×D4—121no—
1431C2×D4—121no—
1432C2×D4—121no—
1433C2×D4—1216no—
1434C2×D4—1216no—
1435C2×D4—1216no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—31no—
1440C22×C4—31no—
1441C22×C4—31no—
1442C22×C4—31no—
1443C22×C4—31no—
1444C22×C4—31no—
1445C22×C4—31no—
1446C22×C4—31no—
1447C22×C4—31no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—62no—
1456C22×C4—62no—
1457C22×C4—62no—
1458C22×C4—62no—
1459C22×C4—62no—
1460C22×C4—62no—
1461C22×C4—62no—
1462C22×C4—62no—
1463C22×C4—62no—
1464C22×C4—62no—
1465C22×C4—62no—
1466C22×C4—121no—
1467C22×C4—121no—
1468C22×C4—121no—
1469C22×C4—121no—
1470C22×C4—121no—
1471C22×C4—121no—
1472C22×C4—121no—
1473C22×C4C2×D1214yescomplemented
1474C22×C4C2×D1214yescomplemented
1475C22×C4C23×D311yescharacteristic
1476C22×C4C23×D311yescharacteristic
1477C22×C4C23×D311yescharacteristic
1478C22×C4C23×D311yescharacteristic
1479C22×C4C23×D311yescharacteristic
1480C22×C4C23×D311yescharacteristic
1481C22×C4C23×D311yescharacteristic
1482C22×C4C23×D311yescharacteristic
1483C22×C4C23×D311yescharacteristic
1484C22×C4C23×D311yescharacteristic
1485C22×C4C23×D311yescharacteristic
1486C22×C4C23×D311yescharacteristic
1487C4⋊C4—22no—
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—41no—
1491C4⋊C4—62no—
1492C4⋊C4—62no—
1493C4⋊C4—62no—
1494C4⋊C4—62no—
1495C4⋊C4—62no—
1496C4⋊C4—62no—
1497C4⋊C4—62no—
1498C4⋊C4—62no—
1499C4⋊C4—121no—
1500C4⋊C4—121no—
1501C4⋊C4—121no—
1502C4⋊C4—121no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—62no—
1514C22⋊C4—62no—
1515C22⋊C4—62no—
1516C22⋊C4—62no—
1517C22⋊C4—62no—
1518C22⋊C4—62no—
1519C22⋊C4—62no—
1520C22⋊C4—62no—
1521C22⋊C4—62no—
1522C22⋊C4—62no—
1523C22⋊C4—62no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—62no—
1527C22⋊C4—62no—
1528C22⋊C4—62no—
1529C22⋊C4—62no—
1530C22⋊C4—62no—
1531C22⋊C4—62no—
1532C22⋊C4—62no—
1533C22⋊C4—62no—
1534C22⋊C4—121no—
1535C22⋊C4—121no—
1536C22⋊C4—121no—
1537C22⋊C4—121no—
1538C22⋊C4—121no—
1539C22⋊C4—121no—
1540C22⋊C4—121no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4—121no—
1547C22⋊C4—121no—
1548C22⋊C4—121no—
1549C22⋊C4—121no—
1550C22⋊C4—121no—
1551C22⋊C4—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4—121no—
1555C22⋊C4—121no—
1556C22⋊C4—121no—
1557C22⋊C4—121no—
1558C22⋊C4—121no—
1559C22⋊C4—121no—
1560C22⋊C4—121no—
1561C22⋊C4C2×D1214yes—
1562C22⋊C4C2×D1214yes—
1563C22⋊C4C2×D1214yescomplemented
1564C22⋊C4C2×D1214yescomplemented
1565C42—22no—
1566C42—41no—
1567C42—41no—
1568C42—41no—
1569C42—62no—
1570C22×C3—22no—
1571C22×C3—22no—
1572C22×C3—22no—
1573C22×C3—22no—
1574C22×C3—22no—
1575C22×C3—22no—
1576C22×C3—22no—
1577C22×C3—22no—
1578C22×C3—22no—
1579C22×C3—22no—
1580C22×C3—22no—
1581C22×C3—22no—
1582C22×C3—41no—
1583C22×C3—41no—
1584C22×C3—41no—
1585C22×C3—41no—
1586C22×C3—41no—
1587C22×C3—41no—
1588C22×C3—41no—
1589C22×C3—41no—
1590C22×C3—88no—
1591C22×C3#53514yes—
1592C22×C3C23×D411yescharacteristic
1593C22×C3C2×H(5,𝔽2)11yescharacteristic
1594C22×C3C2×H(5,𝔽2)11yescharacteristic
1595C22×C3C2×H(5,𝔽2)11yescharacteristic
1596C22×C3C2×H(5,𝔽2)11yescharacteristic
1597C22×C3C2×H(5,𝔽2)11yescharacteristic
1598C22×C3#58511yescharacteristic
1599C2×D3—22no—
1600C2×D3—22no—
1601C2×D3—22no—
1602C2×D3—41no—
1603C2×D3—41no—
1604C2×D3—41no—
1605C2×D3—41no—
1606C2×D3—41no—
1607C2×D3—41no—
1608C2×D3—41no—
1609C2×D3—41no—
1610C2×D3—41no—
1611C2×D3—41no—
1612C2×D3—41no—
1613C2×D3—41no—
1614C2×D3—41no—
1615C2×D3—41no—
1616C2×D3—41no—
1617C2×D3—41no—
1618C2×D3—41no—
1619C2×D3—41no—
1620C2×D3—41no—
1621C2×D3—41no—
1622C2×D3—41no—
1623C2×D3—41no—
1624C2×D3—41no—
1625C2×D3—41no—
1626C2×D3—41no—
1627C2×D3—41no—
1628C2×D3—41no—
1629C2×D3—41no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—41no—
1643C2×D3—41no—
1644C2×D3—41no—
1645C2×D3—41no—
1646C2×D3—41no—
1647C2×D3—41no—
1648C2×D3—88no—
1649C2×D3—88no—
1650C2×D3—88no—
1651C3×C4—22no—
1652C3×C4—22no—
1653C3×C4—22no—
1654C3×C4—22no—
1655C3×C4—22no—
1656C3×C4—41no—
1657C3×C4—41no—
1658C3×C4—41no—
1659C3×C4—41no—
1660C3×C4—41no—
1661C3×C4—41no—
1662C3×C4—41no—
1663Dic3—22no—
1664Dic3—41no—
1665Dic3—41no—
1666Dic3—41no—
1667Dic3—41no—
1668Dic3—41no—
1669Dic3—41no—
1670Dic3—41no—
1671Dic3—41no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—28no—
1689C23—32no—
1690C23—44no—
1691C23—44no—
1692C23—61no—
1693C23—61no—
1694C23—61no—
1695C23—61no—
1696C23—61no—
1697C23—61no—
1698C23—61no—
1699C23—61no—
1700C23—61no—
1701C23—61no—
1702C23—61no—
1703C23—61no—
1704C23—61no—
1705C23—61no—
1706C23—61no—
1707C23—61no—
1708C23—61no—
1709C23—61no—
1710C23—61no—
1711C23—61no—
1712C23—61no—
1713C23—61no—
1714C23—61no—
1715C23—61no—
1716C23—61no—
1717C23—61no—
1718C23—61no—
1719C23—61no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—61no—
1736C23—61no—
1737C23—61no—
1738C23—61no—
1739C23—61no—
1740C23—82no—
1741C23—82no—
1742C23—82no—
1743C23—82no—
1744C23—124no—
1745C23—124no—
1746C23—124no—
1747C23—124no—
1748C23—124no—
1749C23—124no—
1750C23—124no—
1751C23—124no—
1752C23—242no—
1753C23—242no—
1754C23—242no—
1755C23—242no—
1756C23—242no—
1757C23—242no—
1758C23—242no—
1759C23—242no—
1760C23—242no—
1761C23—242no—
1762C23—242no—
1763C23—242no—
1764C23—242no—
1765C23C22×D1212yes—
1766C23C22×D1212yes—
1767C23C22×D1212yes—
1768C23#100912yes—
1769C23#100912yes—
1770C23C24×D311yescharacteristic
1771Q8—124no—
1772D4—68no—
1773D4—124no—
1774D4—124no—
1775D4—124no—
1776D4—124no—
1777D4—124no—
1778D4—124no—
1779D4—124no—
1780D4—124no—
1781D4—124no—
1782D4—124no—
1783D4—124no—
1784D4—124no—
1785D4—124no—
1786D4—124no—
1787D4—124no—
1788D4—124no—
1789D4—124no—
1790D4—124no—
1791D4—242no—
1792D4—242no—
1793D4—242no—
1794D4—242no—
1795D4—242no—
1796D4—242no—
1797D4—242no—
1798D4—242no—
1799D4—242no—
1800D4—242no—
1801D4—242no—
1802D4—242no—
1803D4—242no—
1804D4—242no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—32no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—61no—
1841C2×C4—61no—
1842C2×C4—61no—
1843C2×C4—61no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—61no—
1849C2×C4—61no—
1850C2×C4—61no—
1851C2×C4—61no—
1852C2×C4—61no—
1853C2×C4—61no—
1854C2×C4—61no—
1855C2×C4—61no—
1856C2×C4—61no—
1857C2×C4—61no—
1858C2×C4—61no—
1859C2×C4—61no—
1860C2×C4—61no—
1861C2×C4—61no—
1862C2×C4—61no—
1863C2×C4—61no—
1864C2×C4—61no—
1865C2×C4—61no—
1866C2×C4—82no—
1867C2×C4—124no—
1868C2×C4—124no—
1869C2×C4—124no—
1870C2×C4—124no—
1871C2×C4—124no—
1872C2×C4—242no—
1873C2×C4C22×D1212yes—
1874C2×C4C22×D1212yes—
1875C2×C4C22×D1212yes—
1876C2×C4C22×D1212yes—
1877C2×C4#100412yes—
1878C2×C3—24no—
1879C2×C3—42no—
1880C2×C3—42no—
1881C2×C3C2×#53511yescharacteristic
1882C2×C3#348411yescharacteristic
1883C2×C3#349611yescharacteristic
1884C2×C3#353211yescharacteristic
1885C2×C3#353411yescharacteristic
1886C2×C3#354211yescharacteristic
1887C2×C3#354311yescharacteristic
1888D3—42no—
1889D3—81no—
1890D3—81no—
1891D3—81no—
1892D3—81no—
1893D3—81no—
1894D3—81no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—62no—
1916C22—62no—
1917C22—62no—
1918C22—88no—
1919C22—121no—
1920C22—121no—
1921C22—121no—
1922C22—121no—
1923C22—121no—
1924C22—121no—
1925C22—121no—
1926C22—121no—
1927C22—121no—
1928C22—121no—
1929C22—121no—
1930C22—121no—
1931C22—121no—
1932C22—121no—
1933C22—121no—
1934C22—121no—
1935C22—121no—
1936C22—121no—
1937C22—121no—
1938C22—121no—
1939C22—121no—
1940C22—121no—
1941C22—121no—
1942C22—121no—
1943C22—121no—
1944C22—121no—
1945C22—121no—
1946C22—121no—
1947C22—121no—
1948C22—121no—
1949C22—121no—
1950C22—121no—
1951C22—121no—
1952C22—121no—
1953C22—121no—
1954C22—121no—
1955C22—121no—
1956C22—121no—
1957C22—121no—
1958C22—121no—
1959C22—121no—
1960C22—121no—
1961C22—121no—
1962C22—121no—
1963C22—121no—
1964C22—121no—
1965C22—248no—
1966C22—248no—
1967C22—248no—
1968C22#552514yes—
1969C22C23×D1211yescharacteristic
1970C22C2×#100411yescharacteristic
1971C22C2×#100911yescharacteristic
1972C22C2×#100911yescharacteristic
1973C22#596411yescharacteristic
1974C22D3×H(5,𝔽2)11yescharacteristic
1975C22D3×H(5,𝔽2)11yescharacteristic
1976C4—22no—
1977C4—22no—
1978C4—22no—
1979C4—22no—
1980C4—22no—
1981C4—41no—
1982C4—41no—
1983C4—41no—
1984C4—41no—
1985C4—41no—
1986C4—41no—
1987C4—41no—
1988C4—62no—
1989C4—121no—
1990C4—121no—
1991C4—121no—
1992C4—121no—
1993C4—121no—
1994C4—121no—
1995C4—121no—
1996C4—121no—
1997C3#4048511yescharacteristic, complemented, Sylow
1998C2—24no—
1999C2—42no—
2000C2—42no—
2001C2—122no—
2002C2—241no—
2003C2—241no—
2004C2—241no—
2005C2—241no—
2006C2—241no—
2007C2—241no—
2008C2C2×#552511yescharacteristic
2009C2#8578611yescharacteristic
2010C2#8586711yescharacteristic
2011C2#8665111yescharacteristic
2012C2#8666711yescharacteristic
2013C2#8680111yescharacteristic
2014C2#8680511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2342C2
hypercenter#2342D3
hypocenterC3#40485
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
1. C2×#5490C2semidirect
2. C2×#5493C2semidirect
3. C3×#2342C2semidirect
4. #82286C2semidirect
5. #82276C2semidirect
6. #82127C2semidirect
7. C2×#4960C2semidirect
8. #75927C2semidirect
9. #75927C2semidirect
10. #75916C2semidirect
11. #75913C2semidirect
12. #75912C2semidirect
13. #75912C2semidirect
14. #75690C2semidirect
15. #75687C2semidirect
16. #74605C2semidirect
17. #74601C2semidirect
18. #74410C2semidirect
19. #74406C2semidirect
20. #74144C2semidirect
21. #74137C2semidirect
22. #74046C2semidirect
23. #74030C2semidirect
24. #73855C2semidirect
25. #73852C2semidirect
26. #73611C2semidirect
27. #73597C2semidirect
28. #73594C2semidirect
29. #73587C2semidirect
30. #73586C2semidirect
31. #73504C2semidirect
36. C22×#235C22semidirect
37. C23×D12C22semidirect
38. C2×C3×#117C22semidirect
44. C2×#930C22semidirect
45. C2×#930C22semidirect
46. C2×#930C22semidirect
47. C2×#930C22semidirect
48. C2×#930C22semidirect
49. C2×#929C22semidirect
50. C2×C4×#67C22semidirect
51. C22×(C2×D3)⋊C4C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
53. C2×#895C22semidirect
54. C2×#895C22semidirect
55. C2×#895C22semidirect
59. C2×#886C22semidirect
60. C2×#886C22semidirect
61. C2×#886C22semidirect
62. C2×#885C22semidirect
64. C2×#884C22semidirect
65. C2×#884C22semidirect
66. C2×#883C22semidirect
71. C2×#882C22semidirect
72. C2×#882C22semidirect
73. C2×#882C22semidirect
74. C2×#882C22semidirect
75. C2×#882C22semidirect
76. C2×#882C22semidirect
77. C2×#882C22semidirect
78. C2×#67⋊C4C22semidirect
79. C2×D3×C22⋊C4C22semidirect
80. C2×#878C22semidirect
81. C2×#875C22semidirect
82. C2×#874C22semidirect
83. C2×#874C22semidirect
84. C3×#388C22semidirect
85. C3×#388C22semidirect
86. C3×#388C22semidirect
87. C3×#388C22semidirect
88. C3×#385C22semidirect
89. C3×#385C22semidirect
90. C3×#381C22semidirect
91. C3×#380C22semidirect
93. C3×C4×C22⋊C4C22semidirect
94. C3×C4×C22⋊C4C22semidirect
95. C3×C4×C22⋊C4C22semidirect
98. C2×C3⋊#95C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
101. #4991C22semidirect
102. #4991C22semidirect
103. #4991C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4988C22semidirect
108. #4987C22semidirect
109. #4987C22semidirect
110. #4987C22semidirect
111. #4984C22semidirect
112. #4961C22semidirect
113. #4961C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
122. #4960C22semidirect
123. #4960C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4960C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4960C22semidirect
138. #4958C22semidirect
139. #4958C22semidirect
140. #4958C22semidirect
141. #4955C22semidirect
142. #4955C22semidirect
143. #4950C22semidirect
144. #4943C22semidirect
145. #4940C22semidirect
146. #4940C22semidirect
147. #4940C22semidirect
148. #4940C22semidirect
149. #4939C22semidirect
150. #4939C22semidirect
151. #4939C22semidirect
152. #4939C22semidirect
153. #4939C22semidirect
154. #4939C22semidirect
155. #4939C22semidirect
156. #4936C22semidirect
157. #4929C22semidirect
158. #4677C22semidirect
159. #4677C22semidirect
160. #4674C22semidirect
161. #4674C22semidirect
162. #4674C22semidirect
163. #4674C22semidirect
164. #4674C22semidirect
165. #4673C22semidirect
166. #4673C22semidirect
167. #4672C22semidirect
168. #4672C22semidirect
169. #4672C22semidirect
170. #4671C22semidirect
171. #4671C22semidirect
172. #4671C22semidirect
173. #4671C22semidirect
174. #4671C22semidirect
175. #4671C22semidirect
176. #4671C22semidirect
177. #4671C22semidirect
178. #4671C22semidirect
179. #4670C22semidirect
180. #4670C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4661C22semidirect
188. #4659C22semidirect
189. #4659C22semidirect
220. #2342D3semidirect
290. C2×C3×C22⋊C4D4semidirect
480. C2×#117C2×D3semidirect
558. #388C2×D3semidirect
559. #388C2×D3semidirect
560. #388C2×D3semidirect
561. #388C2×D3semidirect
576. #385C2×D3semidirect
577. #385C2×D3semidirect
580. #381C2×D3semidirect
584. #380C2×D3semidirect
588. C4×C22⋊C4C2×D3semidirect
589. C4×C22⋊C4C2×D3semidirect
590. C4×C22⋊C4C2×D3semidirect
640. C22×C3×C4C2×D4semidirect
641. C22×C3×C4C2×D4semidirect
804. C3×C22⋊C4C2×D4semidirect
805. C3×C22⋊C4C2×D4semidirect
1041. C2×C22⋊C4D12semidirect
1473. C22×C4C2×D12semidirect
1474. C22×C4C2×D12semidirect
1563. C22⋊C4C2×D12semidirect
1564. C22⋊C4C2×D12semidirect
1997. C3#40485semidirect

Maximal subgroups

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

subgroupindex
C2×#54902
C2×#54932
C3×#23422
#822862
#822762
#821272
C2×#49602
#759272
#759162
#759132
#759122
#756902
#756872
#746052
#746012
#744102
#744062
#741442
#741372
#740462
#740302
#738552
#738522
#736112
#735972
#735942
#735872
#735862
#735042
#404853