Finite Group Databasebeta

← #11098142

Subgroups — #11098142

Order 768.

2850 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5554C211yesmaximal, characteristic, complemented
2C2×#5560C211yesmaximal, characteristic, complemented
3C3×#2352C211yesmaximal, characteristic, complemented
4#82286C211yesmaximal, characteristic, complemented
5#82275C211yesmaximal, characteristic, complemented
6#82193C211yesmaximal, characteristic, complemented
7C2×#4991C211yesmaximal, characteristic, complemented
8#75927C211yesmaximal, characteristic, complemented
9#75913C211yesmaximal, characteristic, complemented
10#75912C211yesmaximal, characteristic, complemented
11#75690C211yesmaximal, characteristic, complemented
12#75387C211yesmaximal, characteristic, complemented
13#75174C211yesmaximal, characteristic, complemented
14#75160C211yesmaximal, characteristic, complemented
15#75152C211yesmaximal, characteristic, complemented
16#74888C211yesmaximal, characteristic, complemented
17#74885C211yesmaximal, characteristic, complemented
18#74884C211yesmaximal, characteristic, complemented
19#74699C211yesmaximal, characteristic, complemented
20#74254C211yesmaximal, characteristic, complemented
21#74245C211yesmaximal, characteristic, complemented
22#74046C211yesmaximal, characteristic, complemented
23#74031C211yesmaximal, characteristic, complemented
24#74031C211yesmaximal, characteristic, complemented
25#74029C211yesmaximal, characteristic, complemented
26#73816C211yesmaximal, characteristic, complemented
27#73801C211yesmaximal, characteristic, complemented
28#73597C211yesmaximal, characteristic, complemented
29#73594C211yesmaximal, characteristic, complemented
30#73587C211yesmaximal, characteristic, complemented
31#73504C211yesmaximal, characteristic, complemented
32#40512—31nomaximal, Sylow
33C22×#237C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C23×D12C2211yescharacteristic
36C2×C3×C4×D4C2211yescharacteristic
37C2×C3×#117C2211yescharacteristic, complemented
38C22×C3×C4⋊C4C2211yescharacteristic, complemented
39C2×#939C2211yescharacteristic
40C2×#937C2211yescharacteristic
41C2×#930C2211yescharacteristic
42C2×#930C2211yescharacteristic
43C2×#930C2211yescharacteristic, complemented
44C2×#930C2211yescharacteristic, complemented
45C2×#930C2211yescharacteristic, complemented
46C2×#929C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic, complemented
48C22×(C2×D3)⋊C4C2211yescharacteristic
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
51C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53#5560—28no—
54#5554—28no—
55C2×#898C2211yescharacteristic, complemented
56C2×#897C2211yescharacteristic, complemented
57C2×#895C2211yescharacteristic, complemented
58C2×#895C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic, complemented
60C2×#886C2211yescharacteristic
61C2×#886C2211yescharacteristic, complemented
62C2×#886C2211yescharacteristic, complemented
63C2×#885C2211yescharacteristic, complemented
64C2×#884C2211yescharacteristic, complemented
65C2×#882C2211yescharacteristic
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic, complemented
72C2×#882C2211yescharacteristic, complemented
73C2×#882C2211yescharacteristic, complemented
74C2×#878C2211yescharacteristic, complemented
75C2×#876C2211yescharacteristic, complemented
76C2×#875C2211yescharacteristic, complemented
77C2×#875C2211yescharacteristic, complemented
78C2×#875C2211yescharacteristic, complemented
79C2×#874C2211yescharacteristic
80C2×#874C2211yescharacteristic, complemented
81C2×C4×D12C2211yescharacteristic, complemented
82C3×#388C2211yescharacteristic, complemented
83C3×#388C2211yescharacteristic, complemented
84C3×#387C2211yescharacteristic, complemented
85C3×#387C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic
87C3×#386C2211yescharacteristic
88C3×#382C2211yescharacteristic, complemented
89C3×#380C2211yescharacteristic, complemented
90C3×#380C2211yescharacteristic, complemented
91C3×C4×C4⋊C4C2211yescharacteristic, complemented
92C3×C4×C22⋊C4C2211yescharacteristic, complemented
93C3×C4×C22⋊C4C2211yescharacteristic, complemented
94#5213C2211yescharacteristic
95#5213C2211yescharacteristic, complemented
96C2×C3⋊#95C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4994C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4991C2211yescharacteristic
102#4991C2211yescharacteristic
103#4991C2211yescharacteristic
104#4991C2211yescharacteristic
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4991C2211yescharacteristic, complemented
110#4991C2211yescharacteristic, complemented
111#4991C2211yescharacteristic, complemented
112#4991C2211yescharacteristic, complemented
113#4991C2211yescharacteristic, complemented
114#4991C2211yescharacteristic, complemented
115#4991C2211yescharacteristic, complemented
116#4991C2211yescharacteristic, complemented
117#4988C2211yescharacteristic, complemented
118#4987C2211yescharacteristic, complemented
119#4984C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4960C2211yescharacteristic
123#4960C2211yescharacteristic
124#4960C2211yescharacteristic, complemented
125#4960C2211yescharacteristic, complemented
126#4960C2211yescharacteristic, complemented
127#4960C2211yescharacteristic, complemented
128#4958C2211yescharacteristic
129#4958C2211yescharacteristic, complemented
130#4958C2211yescharacteristic, complemented
131#4958C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4955C2211yescharacteristic
134#4955C2211yescharacteristic, complemented
135#4950C2211yescharacteristic, complemented
136#4943C2211yescharacteristic, complemented
137#4940C2211yescharacteristic, complemented
138#4940C2211yescharacteristic, complemented
139#4940C2211yescharacteristic, complemented
140#4940C2211yescharacteristic, complemented
141#4939C2211yescharacteristic
142#4939C2211yescharacteristic, complemented
143#4939C2211yescharacteristic, complemented
144#4939C2211yescharacteristic, complemented
145#4939C2211yescharacteristic, complemented
146#4939C2211yescharacteristic, complemented
147#4939C2211yescharacteristic, complemented
148#4936C2211yescharacteristic, complemented
149#4929C2211yescharacteristic, complemented
150#4677C2211yescharacteristic, complemented
151#4677C2211yescharacteristic, complemented
152#4674C2211yescharacteristic, complemented
153#4674C2211yescharacteristic, complemented
154#4674C2211yescharacteristic, complemented
155#4674C2211yescharacteristic, complemented
156#4673C2211yescharacteristic, complemented
157#4673C2211yescharacteristic, complemented
158#4673C2211yescharacteristic, complemented
159#4673C2211yescharacteristic, complemented
160#4673C2211yescharacteristic, complemented
161#4672C2211yescharacteristic, complemented
162#4672C2211yescharacteristic, complemented
163#4672C2211yescharacteristic, complemented
164#4671C2211yescharacteristic
165#4671C2211yescharacteristic
166#4671C2211yescharacteristic
167#4671C2211yescharacteristic
168#4671C2211yescharacteristic, complemented
169#4671C2211yescharacteristic, complemented
170#4671C2211yescharacteristic, complemented
171#4671C2211yescharacteristic, complemented
172#4671C2211yescharacteristic, complemented
173#4671C2211yescharacteristic, complemented
174#4671C2211yescharacteristic, complemented
175#4670C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4668C2211yescharacteristic, complemented
178#4668C2211yescharacteristic, complemented
179#4665C2211yescharacteristic
180#4665C2211yescharacteristic
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4659C2211yescharacteristic, complemented
188#4659C2211yescharacteristic, complemented
189#4656C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×#538—31no—
192#2819—31no—
193#2813—31no—
194#2723—31no—
195#2714—31no—
196#2710—31no—
197#2703—31no—
198#2696—31no—
199#2673—31no—
200#2670—31no—
201#2669—31no—
202#2662—31no—
203#2636—31no—
204#2619—31no—
205#2617—31no—
206#2617—31no—
207#2544—31no—
208#2539—31no—
209#2534—31no—
210#2488—31no—
211#2472—31no—
212#2433—31no—
213#2430—31no—
214#2416—31no—
215#2411—31no—
216#2410—31no—
217#2404—31no—
218#2403—31no—
219C2×#394—31no—
220#2352D311yescharacteristic, complemented
221C24×D3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C22×#67C2311yescharacteristic
230C22×#67C2311yescharacteristic
231C22×#67C2311yescharacteristic
232C22×#67C2311yescharacteristic
233C22×#67C2311yescharacteristic
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C23×Dic3C2311yescharacteristic
238C23×Dic3C2311yescharacteristic
239C23×Dic3C2311yescharacteristic
240C2×#237—24no—
241C2×#237—42no—
242C2×#237—42no—
243C2×D3×D4—24no—
244C2×D3×D4—42no—
245C2×D3×D4—42no—
246C22×D12—42no—
247C22×D12—42no—
248C22×D12—42no—
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×D12C2311yescharacteristic
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×D12C2311yescharacteristic
262C22×D12C2311yescharacteristic
263C22×D12C2311yescharacteristic
264C22×D12C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×D12C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic
269C22×C4×D3C2311yescharacteristic
270C22×Dic6C2311yescharacteristic
271C22×Dic6C2311yescharacteristic
272C3×C4×D4D418yescomplemented
273C3×#117—42no—
274C2×C3×C4⋊C4—42no—
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊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×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C42C2311yescharacteristic
291C2×C3×C42C2311yescharacteristic
292C2×C3×C42C2311yescharacteristic
293C2×C3×C42C2311yescharacteristic
294C2×C3×C42C2311yescharacteristic
295C2×#217C2311yescharacteristic
296C2×#217C2311yescharacteristic
297#939—24no—
298#937—24no—
299#930—24no—
300#930—24no—
301#930—24no—
302#930—42no—
303#930—42no—
304#929—24no—
305C4×#67—24no—
306C2×(C2×D3)⋊C4—24no—
307C2×(C2×D3)⋊C4—24no—
308C2×(C2×D3)⋊C4—24no—
309C2×(C2×D3)⋊C4—42no—
310C2×(C2×D3)⋊C4—42no—
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(C2×D3)⋊C4C2311yescharacteristic
315C2×(C2×D3)⋊C4C2311yescharacteristic
316C2×(C2×D3)⋊C4C2311yescharacteristic
317C2×(C2×D3)⋊C4C2311yescharacteristic
318C2×(C2×D3)⋊C4C2311yescharacteristic
319C2×(C2×D3)⋊C4C2311yescharacteristic
320C2×(C2×D3)⋊C4C2311yescharacteristic
321C2×(C2×D3)⋊C4C2311yescharacteristic
322C2×(C2×D3)⋊C4C2311yescharacteristic
323C2×(C2×D3)⋊C4C2311yescharacteristic
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×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×C4⋊Dic3C2311yescharacteristic
369C2×C4⋊Dic3C2311yescharacteristic
370C2×C4⋊Dic3C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#898—24no—
377#897—24no—
378#895—24no—
379#895—42no—
380#894—24no—
381#886—24no—
382#886—24no—
383#886—42no—
384#885—24no—
385#884—24no—
386#882—24no—
387#882—24no—
388#882—24no—
389#882—42no—
390#882—42no—
391#882—42no—
392#882—42no—
393#882—42no—
394#882—42no—
395#878—24no—
396#876—24no—
397#875—24no—
398#875—24no—
399#875—42no—
400#874—42no—
401#874—42no—
402C4×D12—24no—
403C3×#95C2311yescharacteristic
404C3×#95C2311yescharacteristic
405C3×#95C2311yescharacteristic
406C3×#95C2311yescharacteristic
407C3×#95C2311yescharacteristic
408C3×#95C2311yescharacteristic
409C3×#95C2311yescharacteristic
410C3×#95C2311yescharacteristic
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
429C22×#41—31no—
430C23×D4—31no—
431C23×D4—31no—
432#546—68no—
433#538—68no—
434C2×#127—31no—
435C2×#127—31no—
436C2×#126—31no—
437C2×#126—31no—
438C2×#124—31no—
439C2×#124—31no—
440C2×#124—31no—
441C2×#124—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×C22⋊Q8—31no—
448C2×C22⋊Q8—31no—
449C2×#121—31no—
450C2×#121—31no—
451C2×#121—31no—
452C2×#121—31no—
453C2×#121—31no—
454C2×#121—31no—
455C2×#121—31no—
456C2×#121—31no—
457C2×#121—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—31no—
461C2×#120—31no—
462C2×#120—31no—
463C2×#120—31no—
464C2×#120—31no—
465C2×#120—31no—
466C2×#120—31no—
467C2×#120—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4C2×D311yescharacteristic
471C2×#117C2×D311yescharacteristic, complemented
472C22×C4⋊C4C2×D311yescharacteristic, complemented
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478#400—31no—
479#400—31no—
480#399—31no—
481#399—31no—
482#397—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#396—31no—
487#396—31no—
488#396—31no—
489#396—31no—
490#395—31no—
491#394—31no—
492#394—31no—
493#394—31no—
494#394—31no—
495#394—31no—
496#394—31no—
497#394—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#393—31no—
513#393—31no—
514#393—31no—
515#393—31no—
516#393—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#391—31no—
535#390—31no—
536#390—31no—
537#390—31no—
538#390—31no—
539#390—31no—
540#390—31no—
541#390—31no—
542#390—31no—
543#389—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388—31no—
549#388—31no—
550#388C2×D311yescharacteristic, complemented
551#388C2×D311yescharacteristic, complemented
552#387C2×D311yescharacteristic, complemented
553#387C2×D311yescharacteristic, complemented
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#386—31no—
560#386—31no—
561#386—31no—
562#386—31no—
563#386—31no—
564#386—31no—
565#386—31no—
566#386—31no—
567#386—31no—
568#386—31no—
569#386C2×D311yescharacteristic
570#386C2×D311yescharacteristic
571#385—31no—
572#385—31no—
573#385—31no—
574#382—31no—
575#382C2×D311yescharacteristic, complemented
576#381—31no—
577#380—31no—
578#380C2×D311yescharacteristic, complemented
579#380C2×D311yescharacteristic, complemented
580#379—31no—
581#379—31no—
582C4×C4⋊C4C2×D311yescharacteristic, complemented
583C4×C22⋊C4C2×D311yescharacteristic, complemented
584C4×C22⋊C4C2×D311yescharacteristic, complemented
585C2×#95—31no—
586C24×C3C2411yescharacteristic
587C24×C3C2411yescharacteristic
588C23×D3—22no—
589C23×D3—22no—
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—22no—
595C23×D3—22no—
596C23×D3—22no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3C2411yescharacteristic
610C23×D3C2411yescharacteristic
611C23×D3C2411yescharacteristic
612C23×D3C2411yescharacteristic
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4C2×D414yes—
619C22×C3×C4—22no—
620C22×C3×C4—22no—
621C22×C3×C4—22no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4C2×D414yes—
630C22×C3×C4C2×D414yescomplemented
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—22no—
651C2×#67—22no—
652C2×#67—22no—
653C2×#67—22no—
654C2×#67—22no—
655C2×#67—22no—
656C2×#67—22no—
657C2×#67—22no—
658C2×#67—41no—
659C2×#67—41no—
660C2×#67—41no—
661C2×#67—41no—
662C2×#67—41no—
663C2×#67—41no—
664C2×#67—41no—
665C2×#67—41no—
666C2×#67—41no—
667C2×#67—41no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—41no—
674C22×Dic3—41no—
675C22×Dic3—41no—
676C22×Dic3—41no—
677C22×Dic3C2411yescharacteristic
678C22×Dic3C2411yescharacteristic
679C22×Dic3C2411yescharacteristic
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686#237—416no—
687D3×D4—416no—
688C2×D12—22no—
689C2×D12—22no—
690C2×D12—22no—
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—22no—
697C2×D12—22no—
698C2×D12—22no—
699C2×D12—22no—
700C2×D12—22no—
701C2×D12—41no—
702C2×D12—41no—
703C2×D12—41no—
704C2×D12—41no—
705C2×D12—41no—
706C2×D12—41no—
707C2×D12—41no—
708C2×D12—41no—
709C2×D12—41no—
710C2×D12—41no—
711C2×D12—41no—
712C2×D12—416no—
713C2×D12—41no—
714C2×D12—41no—
715C2×D12—41no—
716C2×D12—41no—
717C2×D12—41no—
718C2×D12—41no—
719C2×D12—41no—
720C2×D12—41no—
721C2×D12—41no—
722C2×D12—41no—
723C2×D12—41no—
724C2×D12—41no—
725C2×D12—41no—
726C2×D12—41no—
727C2×D12—41no—
728C2×D12—41no—
729C2×D12—41no—
730C2×D12—41no—
731C2×D12—41no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
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×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×Dic6—22no—
753C2×Dic6—22no—
754C2×Dic6—41no—
755C2×Dic6—41no—
756C2×Dic6—41no—
757C2×Dic6—41no—
758C3×C4⋊C4—22no—
759C3×C4⋊C4—22no—
760C3×C4⋊C4—41no—
761C3×C4⋊C4—41no—
762C3×C4⋊C4—41no—
763C3×C4⋊C4—41no—
764C3×C4⋊C4C2×D414yescomplemented
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—41no—
769C3×C22⋊C4—41no—
770C3×C22⋊C4—41no—
771C3×C22⋊C4C2×D414yes—
772C3×C22⋊C4C2×D414yescomplemented
773C3×C42—22no—
774C3×C42—41no—
775C3×C42—41no—
776C3×C42—41no—
777C3×C42C2×D414yescomplemented
778#217—22no—
779#217—22no—
780(C2×D3)⋊C4—22no—
781(C2×D3)⋊C4—22no—
782(C2×D3)⋊C4—22no—
783(C2×D3)⋊C4—22no—
784(C2×D3)⋊C4—22no—
785(C2×D3)⋊C4—22no—
786(C2×D3)⋊C4—22no—
787(C2×D3)⋊C4—22no—
788(C2×D3)⋊C4—22no—
789(C2×D3)⋊C4—22no—
790(C2×D3)⋊C4—22no—
791(C2×D3)⋊C4—22no—
792(C2×D3)⋊C4—22no—
793(C2×D3)⋊C4—22no—
794(C2×D3)⋊C4—22no—
795(C2×D3)⋊C4—22no—
796(C2×D3)⋊C4—22no—
797(C2×D3)⋊C4—22no—
798(C2×D3)⋊C4—22no—
799(C2×D3)⋊C4—22no—
800(C2×D3)⋊C4—22no—
801(C2×D3)⋊C4—22no—
802(C2×D3)⋊C4—22no—
803(C2×D3)⋊C4—22no—
804(C2×D3)⋊C4—41no—
805(C2×D3)⋊C4—41no—
806(C2×D3)⋊C4—41no—
807(C2×D3)⋊C4—41no—
808(C2×D3)⋊C4—41no—
809(C2×D3)⋊C4—41no—
810(C2×D3)⋊C4—41no—
811(C2×D3)⋊C4—41no—
812(C2×D3)⋊C4—41no—
813(C2×D3)⋊C4—41no—
814(C2×D3)⋊C4—41no—
815(C2×D3)⋊C4—41no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832C4⋊Dic3—22no—
833C4⋊Dic3—22no—
834C4⋊Dic3—22no—
835C4⋊Dic3—22no—
836C4⋊Dic3—41no—
837C4⋊Dic3—41no—
838C4⋊Dic3—41no—
839C4⋊Dic3—41no—
840Dic3⋊C4—22no—
841Dic3⋊C4—22no—
842Dic3⋊C4—22no—
843Dic3⋊C4—22no—
844C4×Dic3—22no—
845C25—31no—
846C25—31no—
847C25—31no—
848C2×#41—64no—
849C2×#41—122no—
850C2×#41—122no—
851C22×Q8—31no—
852C22×Q8—31no—
853C22×D4—31no—
854C22×D4—31no—
855C22×D4—31no—
856C22×D4—31no—
857C22×D4—31no—
858C22×D4—31no—
859C22×D4—31no—
860C22×D4—31no—
861C22×D4—31no—
862C22×D4—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—64no—
880C22×D4—122no—
881C22×D4—122no—
882C22×D4—122no—
883C22×D4—122no—
884C22×D4—122no—
885C22×D4C22×D311yescharacteristic
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4C22×D311yescharacteristic
893C23×C4C22×D311yescharacteristic
894C23×C4C22×D311yescharacteristic
895C23×C4C22×D311yescharacteristic
896#127—122no—
897#127—122no—
898#126—64no—
899#126—64no—
900#124—64no—
901#124—64no—
902#124—64no—
903#124—122no—
904#123—64no—
905#123—64no—
906#123—64no—
907#123—64no—
908#123—122no—
909C22⋊Q8—64no—
910C22⋊Q8—64no—
911#121—64no—
912#121—64no—
913#121—64no—
914#121—64no—
915#121—64no—
916#121—64no—
917#121—122no—
918#121—122no—
919#121—122no—
920#120—64no—
921#120—64no—
922#120—64no—
923#120—64no—
924#120—122no—
925#120—122no—
926#120—122no—
927#120—122no—
928#120—122no—
929#120—122no—
930C4×D4—64no—
931C4×D4—64no—
932C4×D4D1218yescomplemented
933#117—42no—
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—42no—
947C2×C4⋊C4C22×D311yescharacteristic
948C2×C4⋊C4C22×D311yescharacteristic
949C2×C4⋊C4C22×D311yescharacteristic
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C4⋊C4C22×D311yescharacteristic
952C2×C4⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C22⋊C4—31no—
955C2×C22⋊C4—31no—
956C2×C22⋊C4—31no—
957C2×C22⋊C4—31no—
958C2×C22⋊C4—31no—
959C2×C22⋊C4—31no—
960C2×C22⋊C4—31no—
961C2×C22⋊C4—31no—
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
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⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
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—64no—
1009C2×C22⋊C4—64no—
1010C2×C22⋊C4—64no—
1011C2×C22⋊C4—122no—
1012C2×C22⋊C4—122no—
1013C2×C22⋊C4C22×D311yescharacteristic
1014C2×C22⋊C4C22×D311yescharacteristic
1015C2×C22⋊C4C22×D311yescharacteristic
1016C2×C22⋊C4C22×D311yescharacteristic
1017C2×C22⋊C4C22×D311yescharacteristic
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C42—31no—
1022C2×C42C22×D311yescharacteristic
1023C2×C42C22×D311yescharacteristic
1024C2×C42C22×D311yescharacteristic
1025C2×C42C22×D311yescharacteristic
1026C2×C42C22×D311yescharacteristic
1027#95—31no—
1028#95—31no—
1029#95—31no—
1030#95—31no—
1031#95—31no—
1032#95—31no—
1033#95—31no—
1034#95—31no—
1035#95—31no—
1036#95—31no—
1037#95—31no—
1038#95—31no—
1039#95—31no—
1040#95—31no—
1041#95—31no—
1042#95—31no—
1043#95C22×D311yescharacteristic
1044#95C22×D311yescharacteristic
1045#95C22×D311yescharacteristic
1046#95C22×D311yescharacteristic
1047#95C22×D311yescharacteristic
1048#95C22×D311yescharacteristic
1049#95C22×D311yescharacteristic
1050#95C22×D311yescharacteristic
1051#95C22×D311yescharacteristic
1052#95C22×D311yescharacteristic
1053C23×C3—21no—
1054C23×C3—21no—
1055C23×C3—21no—
1056C23×C3—21no—
1057C23×C3—21no—
1058C23×C3—21no—
1059C23×C3—21no—
1060C23×C3—21no—
1061C23×C3—21no—
1062C23×C3—21no—
1063C23×C3C22×D412yes—
1064C23×C3C22×D412yes—
1065C23×C3H(5,𝔽2)12yes—
1066C23×C3H(5,𝔽2)12yes—
1067C23×C3C2511yescharacteristic
1068C22×D3—21no—
1069C22×D3—21no—
1070C22×D3—21no—
1071C22×D3—21no—
1072C22×D3—21no—
1073C22×D3—21no—
1074C22×D3—21no—
1075C22×D3—21no—
1076C22×D3—21no—
1077C22×D3—21no—
1078C22×D3—21no—
1079C22×D3—21no—
1080C22×D3—21no—
1081C22×D3—21no—
1082C22×D3—21no—
1083C22×D3—21no—
1084C22×D3—21no—
1085C22×D3—21no—
1086C22×D3—21no—
1087C22×D3—21no—
1088C22×D3—21no—
1089C22×D3—21no—
1090C22×D3—21no—
1091C22×D3—21no—
1092C22×D3—21no—
1093C22×D3—21no—
1094C22×D3—21no—
1095C22×D3—21no—
1096C22×D3—21no—
1097C22×D3—21no—
1098C22×D3—21no—
1099C22×D3—21no—
1100C22×D3—21no—
1101C22×D3—21no—
1102C22×D3—21no—
1103C22×D3—21no—
1104C22×D3—21no—
1105C22×D3—21no—
1106C22×D3—21no—
1107C22×D3—21no—
1108C22×D3—21no—
1109C22×D3—21no—
1110C22×D3—21no—
1111C22×D3—21no—
1112C22×D3—21no—
1113C22×D3—21no—
1114C22×D3—21no—
1115C22×D3—21no—
1116C22×D3—44no—
1117C22×D3—44no—
1118C22×D3—44no—
1119C22×D3—44no—
1120C22×D3—44no—
1121C22×D3—44no—
1122C22×D3—44no—
1123C22×D3—44no—
1124C22×D3—44no—
1125C22×D3—82no—
1126C22×D3—82no—
1127C22×D3—82no—
1128C22×D3—82no—
1129C22×D3—82no—
1130C22×D3—82no—
1131C22×D3—82no—
1132C22×D3—82no—
1133C22×D3—82no—
1134C22×D3—82no—
1135C22×D3—82no—
1136C22×D3—82no—
1137C22×D3H(5,𝔽2)12yes—
1138C3×D4—28no—
1139C2×C3×C4—21no—
1140C2×C3×C4—21no—
1141C2×C3×C4—21no—
1142C2×C3×C4—21no—
1143C2×C3×C4—21no—
1144C2×C3×C4—21no—
1145C2×C3×C4—21no—
1146C2×C3×C4—21no—
1147C2×C3×C4—21no—
1148C2×C3×C4—21no—
1149C2×C3×C4—21no—
1150C2×C3×C4—21no—
1151C2×C3×C4—21no—
1152C2×C3×C4—21no—
1153C2×C3×C4—21no—
1154C2×C3×C4—21no—
1155C2×C3×C4—21no—
1156C2×C3×C4—21no—
1157C2×C3×C4—21no—
1158C2×C3×C4—21no—
1159C2×C3×C4—21no—
1160C2×C3×C4—21no—
1161C2×C3×C4—21no—
1162C2×C3×C4—21no—
1163C2×C3×C4—21no—
1164C2×C3×C4—21no—
1165C2×C3×C4—21no—
1166C2×C3×C4—21no—
1167C2×C3×C4—21no—
1168C2×C3×C4—21no—
1169C2×C3×C4—21no—
1170C2×C3×C4—21no—
1171C2×C3×C4—21no—
1172C2×C3×C4—44no—
1173C2×C3×C4—44no—
1174C2×C3×C4—44no—
1175C2×C3×C4—82no—
1176C2×C3×C4C22×D412yes—
1177C2×C3×C4C22×D412yes—
1178C2×C3×C4C22×D412yes—
1179C2×C3×C4C22×D412yes—
1180C2×C3×C4C22×D412yes—
1181C2×C3×C4H(5,𝔽2)12yes—
1182#67—44no—
1183#67—44no—
1184#67—44no—
1185#67—44no—
1186#67—44no—
1187#67—82no—
1188#67—82no—
1189#67—82no—
1190C2×Dic3—21no—
1191C2×Dic3—21no—
1192C2×Dic3—21no—
1193C2×Dic3—21no—
1194C2×Dic3—21no—
1195C2×Dic3—21no—
1196C2×Dic3—21no—
1197C2×Dic3—21no—
1198C2×Dic3—21no—
1199C2×Dic3—21no—
1200C2×Dic3—21no—
1201C2×Dic3—21no—
1202C2×Dic3—21no—
1203C2×Dic3—21no—
1204C2×Dic3—21no—
1205C2×Dic3—21no—
1206C2×Dic3—21no—
1207C2×Dic3—21no—
1208C2×Dic3—21no—
1209C2×Dic3—21no—
1210C2×Dic3—21no—
1211C2×Dic3—21no—
1212C2×Dic3—21no—
1213C2×Dic3—21no—
1214C2×Dic3—21no—
1215C2×Dic3—21no—
1216C2×Dic3—21no—
1217C2×Dic3—44no—
1218C2×Dic3—44no—
1219C2×Dic3—82no—
1220D12—44no—
1221D12—44no—
1222D12—44no—
1223D12—44no—
1224D12—44no—
1225D12—44no—
1226D12—82no—
1227D12—82no—
1228D12—82no—
1229D12—82no—
1230D12—82no—
1231D12—82no—
1232D12—82no—
1233D12—82no—
1234D12—82no—
1235D12—82no—
1236D12—82no—
1237D12—82no—
1238C4×D3—44no—
1239C4×D3—44no—
1240C4×D3—82no—
1241Dic6—44no—
1242Dic6—82no—
1243C24—31no—
1244C24—31no—
1245C24—31no—
1246C24—31no—
1247C24—31no—
1248C24—31no—
1249C24—31no—
1250C24—62no—
1251C24—62no—
1252C24—62no—
1253C24—62no—
1254C24—62no—
1255C24—62no—
1256C24—62no—
1257C24—62no—
1258C24—62no—
1259C24—121no—
1260C24—121no—
1261C24—121no—
1262C24—121no—
1263C24—121no—
1264C24—121no—
1265C24—121no—
1266C24—121no—
1267C24—121no—
1268C24—121no—
1269C24—121no—
1270C24—121no—
1271C24C23×D311yescharacteristic
1272C24C23×D311yescharacteristic
1273#41—1216no—
1274C2×Q8—62no—
1275C2×Q8—62no—
1276C2×Q8—121no—
1277C2×Q8—121no—
1278C2×Q8—121no—
1279C2×Q8—121no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—62no—
1283C2×D4—62no—
1284C2×D4—62no—
1285C2×D4—62no—
1286C2×D4—62no—
1287C2×D4—62no—
1288C2×D4—62no—
1289C2×D4—62no—
1290C2×D4—62no—
1291C2×D4—62no—
1292C2×D4—62no—
1293C2×D4—62no—
1294C2×D4—62no—
1295C2×D4—62no—
1296C2×D4—62no—
1297C2×D4—62no—
1298C2×D4—62no—
1299C2×D4—62no—
1300C2×D4—62no—
1301C2×D4—62no—
1302C2×D4—62no—
1303C2×D4—62no—
1304C2×D4—62no—
1305C2×D4—62no—
1306C2×D4—62no—
1307C2×D4—62no—
1308C2×D4—62no—
1309C2×D4—121no—
1310C2×D4—121no—
1311C2×D4—121no—
1312C2×D4—121no—
1313C2×D4—121no—
1314C2×D4—121no—
1315C2×D4—121no—
1316C2×D4—121no—
1317C2×D4—121no—
1318C2×D4—121no—
1319C2×D4—121no—
1320C2×D4—121no—
1321C2×D4—121no—
1322C2×D4—121no—
1323C2×D4—121no—
1324C2×D4—121no—
1325C2×D4—121no—
1326C2×D4—121no—
1327C2×D4—121no—
1328C2×D4—121no—
1329C2×D4—121no—
1330C2×D4—121no—
1331C2×D4—121no—
1332C2×D4—121no—
1333C2×D4—121no—
1334C2×D4—121no—
1335C2×D4—121no—
1336C2×D4—121no—
1337C2×D4—121no—
1338C2×D4—121no—
1339C2×D4—121no—
1340C2×D4—121no—
1341C2×D4—121no—
1342C2×D4—121no—
1343C2×D4—121no—
1344C2×D4—121no—
1345C2×D4—121no—
1346C2×D4—121no—
1347C2×D4—121no—
1348C2×D4—121no—
1349C2×D4—121no—
1350C2×D4—1216no—
1351C2×D4—121no—
1352C2×D4—121no—
1353C2×D4—121no—
1354C2×D4—121no—
1355C2×D4—121no—
1356C2×D4—121no—
1357C2×D4—121no—
1358C2×D4—121no—
1359C2×D4—121no—
1360C2×D4—121no—
1361C2×D4—1216no—
1362C2×D4C2×D1214yes—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—31no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—31no—
1372C22×C4—31no—
1373C22×C4—31no—
1374C22×C4—31no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—41no—
1378C22×C4—41no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—62no—
1383C22×C4—62no—
1384C22×C4—62no—
1385C22×C4—62no—
1386C22×C4—62no—
1387C22×C4—62no—
1388C22×C4—62no—
1389C22×C4—62no—
1390C22×C4—121no—
1391C22×C4—121no—
1392C22×C4—121no—
1393C22×C4—121no—
1394C22×C4—121no—
1395C22×C4—121no—
1396C22×C4—121no—
1397C22×C4—121no—
1398C22×C4—121no—
1399C22×C4—121no—
1400C22×C4C2×D1214yes—
1401C22×C4C2×D1214yescomplemented
1402C22×C4C23×D311yescharacteristic
1403C22×C4C23×D311yescharacteristic
1404C22×C4C23×D311yescharacteristic
1405C22×C4C23×D311yescharacteristic
1406C22×C4C23×D311yescharacteristic
1407C22×C4C23×D311yescharacteristic
1408C22×C4C23×D311yescharacteristic
1409C22×C4C23×D311yescharacteristic
1410C22×C4C23×D311yescharacteristic
1411C22×C4C23×D311yescharacteristic
1412C22×C4C23×D311yescharacteristic
1413C22×C4C23×D311yescharacteristic
1414C22×C4C23×D311yescharacteristic
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—62no—
1422C4⋊C4—62no—
1423C4⋊C4—62no—
1424C4⋊C4—62no—
1425C4⋊C4—62no—
1426C4⋊C4—62no—
1427C4⋊C4—62no—
1428C4⋊C4—62no—
1429C4⋊C4—121no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C4⋊C4—121no—
1433C4⋊C4C2×D1214yescomplemented
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—62no—
1441C22⋊C4—62no—
1442C22⋊C4—62no—
1443C22⋊C4—62no—
1444C22⋊C4—62no—
1445C22⋊C4—62no—
1446C22⋊C4—62no—
1447C22⋊C4—62no—
1448C22⋊C4—62no—
1449C22⋊C4—62no—
1450C22⋊C4—62no—
1451C22⋊C4—62no—
1452C22⋊C4—62no—
1453C22⋊C4—62no—
1454C22⋊C4—62no—
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⋊C4—121no—
1474C22⋊C4—121no—
1475C22⋊C4—121no—
1476C22⋊C4—121no—
1477C22⋊C4—121no—
1478C22⋊C4—121no—
1479C22⋊C4—121no—
1480C22⋊C4—121no—
1481C22⋊C4—121no—
1482C22⋊C4—121no—
1483C22⋊C4—121no—
1484C22⋊C4—121no—
1485C22⋊C4—121no—
1486C22⋊C4—121no—
1487C22⋊C4—121no—
1488C22⋊C4—121no—
1489C22⋊C4—121no—
1490C22⋊C4—121no—
1491C22⋊C4—121no—
1492C22⋊C4—121no—
1493C22⋊C4—121no—
1494C22⋊C4C2×D1214yes—
1495C22⋊C4C2×D1214yescomplemented
1496C42—22no—
1497C42—41no—
1498C42—41no—
1499C42—41no—
1500C42—62no—
1501C42C2×D1214yescomplemented
1502C22×C3—22no—
1503C22×C3—22no—
1504C22×C3—22no—
1505C22×C3—22no—
1506C22×C3—22no—
1507C22×C3—22no—
1508C22×C3—22no—
1509C22×C3—22no—
1510C22×C3—22no—
1511C22×C3—41no—
1512C22×C3—41no—
1513C22×C3—41no—
1514C22×C3—41no—
1515C22×C3#53514yes—
1516C22×C3C23×D411yescharacteristic
1517C22×C3C2×H(5,𝔽2)11yescharacteristic
1518C22×C3C2×H(5,𝔽2)11yescharacteristic
1519C22×C3C2×H(5,𝔽2)11yescharacteristic
1520C22×C3C2×H(5,𝔽2)11yescharacteristic
1521C22×C3#58511yescharacteristic
1522C22×C3#58511yescharacteristic
1523C2×D3—22no—
1524C2×D3—22no—
1525C2×D3—22no—
1526C2×D3—41no—
1527C2×D3—41no—
1528C2×D3—41no—
1529C2×D3—41no—
1530C2×D3—41no—
1531C2×D3—41no—
1532C2×D3—41no—
1533C2×D3—41no—
1534C2×D3—41no—
1535C2×D3—41no—
1536C2×D3—41no—
1537C2×D3—41no—
1538C2×D3—41no—
1539C2×D3—41no—
1540C2×D3—41no—
1541C2×D3—41no—
1542C2×D3—41no—
1543C2×D3—41no—
1544C2×D3—41no—
1545C2×D3—41no—
1546C2×D3—41no—
1547C2×D3—41no—
1548C2×D3—41no—
1549C2×D3—41no—
1550C2×D3—41no—
1551C2×D3—41no—
1552C2×D3—41no—
1553C2×D3—41no—
1554C2×D3—41no—
1555C2×D3—41no—
1556C2×D3—41no—
1557C2×D3—41no—
1558C2×D3—41no—
1559C2×D3—41no—
1560C2×D3—41no—
1561C2×D3—41no—
1562C2×D3—41no—
1563C2×D3—41no—
1564C2×D3—41no—
1565C2×D3—41no—
1566C2×D3—41no—
1567C2×D3—41no—
1568C2×D3—41no—
1569C2×D3—41no—
1570C2×D3—41no—
1571C2×D3—41no—
1572C2×D3—88no—
1573C2×D3—88no—
1574C2×D3—88no—
1575C3×C4—22no—
1576C3×C4—22no—
1577C3×C4—22no—
1578C3×C4—22no—
1579C3×C4—22no—
1580C3×C4—22no—
1581C3×C4—41no—
1582C3×C4—41no—
1583C3×C4—41no—
1584C3×C4—41no—
1585C3×C4—41no—
1586C3×C4—41no—
1587C3×C4—41no—
1588Dic3—41no—
1589Dic3—41no—
1590Dic3—41no—
1591Dic3—41no—
1592Dic3—41no—
1593Dic3—41no—
1594Dic3—41no—
1595Dic3—41no—
1596Dic3—41no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—32no—
1608C23—61no—
1609C23—61no—
1610C23—61no—
1611C23—61no—
1612C23—61no—
1613C23—61no—
1614C23—61no—
1615C23—61no—
1616C23—61no—
1617C23—61no—
1618C23—61no—
1619C23—61no—
1620C23—61no—
1621C23—61no—
1622C23—61no—
1623C23—61no—
1624C23—61no—
1625C23—61no—
1626C23—61no—
1627C23—61no—
1628C23—61no—
1629C23—61no—
1630C23—61no—
1631C23—61no—
1632C23—61no—
1633C23—61no—
1634C23—61no—
1635C23—61no—
1636C23—61no—
1637C23—61no—
1638C23—61no—
1639C23—61no—
1640C23—61no—
1641C23—61no—
1642C23—61no—
1643C23—61no—
1644C23—61no—
1645C23—61no—
1646C23—61no—
1647C23—61no—
1648C23—61no—
1649C23—61no—
1650C23—61no—
1651C23—61no—
1652C23—61no—
1653C23—61no—
1654C23—61no—
1655C23—61no—
1656C23—124no—
1657C23—124no—
1658C23—124no—
1659C23—124no—
1660C23—124no—
1661C23—124no—
1662C23—124no—
1663C23—124no—
1664C23—124no—
1665C23—242no—
1666C23—242no—
1667C23—242no—
1668C23—242no—
1669C23—242no—
1670C23—242no—
1671C23—242no—
1672C23—242no—
1673C23—242no—
1674C23—242no—
1675C23—242no—
1676C23—242no—
1677C23C22×D1212yes—
1678C23C22×D1212yes—
1679C23#100912yes—
1680C23#100912yes—
1681C23C24×D311yescharacteristic
1682Q8—124no—
1683Q8—242no—
1684D4—28no—
1685D4—124no—
1686D4—124no—
1687D4—124no—
1688D4—124no—
1689D4—124no—
1690D4—124no—
1691D4—124no—
1692D4—124no—
1693D4—124no—
1694D4—124no—
1695D4—124no—
1696D4—242no—
1697D4—242no—
1698D4—242no—
1699D4—242no—
1700D4—242no—
1701D4—242no—
1702D4—242no—
1703D4—242no—
1704D4—242no—
1705D4—242no—
1706D4—242no—
1707D4—242no—
1708D4—242no—
1709D4—242no—
1710D4—242no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—61no—
1748C2×C4—61no—
1749C2×C4—61no—
1750C2×C4—61no—
1751C2×C4—61no—
1752C2×C4—61no—
1753C2×C4—61no—
1754C2×C4—61no—
1755C2×C4—61no—
1756C2×C4—61no—
1757C2×C4—61no—
1758C2×C4—61no—
1759C2×C4—61no—
1760C2×C4—61no—
1761C2×C4—61no—
1762C2×C4—61no—
1763C2×C4—61no—
1764C2×C4—61no—
1765C2×C4—61no—
1766C2×C4—61no—
1767C2×C4—61no—
1768C2×C4—61no—
1769C2×C4—61no—
1770C2×C4—61no—
1771C2×C4—61no—
1772C2×C4—61no—
1773C2×C4—61no—
1774C2×C4—82no—
1775C2×C4—124no—
1776C2×C4—124no—
1777C2×C4—124no—
1778C2×C4—124no—
1779C2×C4—242no—
1780C2×C4—242no—
1781C2×C4C22×D1212yes—
1782C2×C4C22×D1212yes—
1783C2×C4C22×D1212yes—
1784C2×C4C22×D1212yes—
1785C2×C4C22×D1212yes—
1786C2×C4#100412yes—
1787C2×C3—24no—
1788C2×C3—42no—
1789C2×C3C2×#53511yescharacteristic
1790C2×C3#348811yescharacteristic
1791C2×C3#349611yescharacteristic
1792C2×C3#353211yescharacteristic
1793C2×C3#353311yescharacteristic
1794C2×C3#353411yescharacteristic
1795C2×C3#355811yescharacteristic
1796D3—42no—
1797D3—81no—
1798D3—81no—
1799D3—81no—
1800D3—81no—
1801D3—81no—
1802D3—81no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—62no—
1817C22—62no—
1818C22—62no—
1819C22—121no—
1820C22—121no—
1821C22—121no—
1822C22—121no—
1823C22—121no—
1824C22—121no—
1825C22—121no—
1826C22—121no—
1827C22—121no—
1828C22—121no—
1829C22—121no—
1830C22—121no—
1831C22—121no—
1832C22—121no—
1833C22—121no—
1834C22—121no—
1835C22—121no—
1836C22—121no—
1837C22—121no—
1838C22—121no—
1839C22—121no—
1840C22—121no—
1841C22—121no—
1842C22—121no—
1843C22—121no—
1844C22—121no—
1845C22—121no—
1846C22—121no—
1847C22—121no—
1848C22—121no—
1849C22—121no—
1850C22—121no—
1851C22—121no—
1852C22—121no—
1853C22—121no—
1854C22—121no—
1855C22—121no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—121no—
1863C22—121no—
1864C22—121no—
1865C22—248no—
1866C22—248no—
1867C22—248no—
1868C22#552514yes—
1869C22C23×D1211yescharacteristic
1870C22C2×#100411yescharacteristic
1871C22C2×#100911yescharacteristic
1872C22C2×#100911yescharacteristic
1873C22#596411yescharacteristic
1874C22D3×H(5,𝔽2)11yescharacteristic
1875C22#596811yescharacteristic
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—22no—
1880C4—22no—
1881C4—22no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—121no—
1890C4—121no—
1891C4—121no—
1892C4—121no—
1893C4—121no—
1894C4—121no—
1895C4—121no—
1896C4—121no—
1897C4—121no—
1898C3#4051211yescharacteristic, complemented, Sylow
1899C2—24no—
1900C2—42no—
1901C2—122no—
1902C2—241no—
1903C2—241no—
1904C2—241no—
1905C2—241no—
1906C2—241no—
1907C2—241no—
1908C2C2×#552511yescharacteristic
1909C2#8578611yescharacteristic
1910C2#8590011yescharacteristic
1911C2#8666711yescharacteristic
1912C2#8673011yescharacteristic
1913C2#8686411yescharacteristic
1914C2#8691511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2352C2
hypercenter#2352D3
hypocenterC3#40512
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2352

Complements

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

NH ≅ G/Ntype
1. C2×#5554C2semidirect
2. C2×#5560C2semidirect
3. C3×#2352C2semidirect
4. #82286C2semidirect
5. #82275C2semidirect
6. #82193C2semidirect
7. C2×#4991C2semidirect
8. #75927C2semidirect
9. #75913C2semidirect
10. #75912C2semidirect
11. #75690C2semidirect
12. #75387C2semidirect
13. #75174C2semidirect
14. #75160C2semidirect
15. #75152C2semidirect
16. #74888C2semidirect
17. #74885C2semidirect
18. #74884C2semidirect
19. #74699C2semidirect
20. #74254C2semidirect
21. #74245C2semidirect
22. #74046C2semidirect
23. #74031C2semidirect
24. #74031C2semidirect
25. #74029C2semidirect
26. #73816C2semidirect
27. #73801C2semidirect
28. #73597C2semidirect
29. #73594C2semidirect
30. #73587C2semidirect
31. #73504C2semidirect
37. C2×C3×#117C22semidirect
38. C22×C3×C4⋊C4C22semidirect
43. C2×#930C22semidirect
44. C2×#930C22semidirect
45. C2×#930C22semidirect
46. C2×#929C22semidirect
47. C2×C4×#67C22semidirect
50. C22×(C2×D3)⋊C4C22semidirect
51. C22×(C2×D3)⋊C4C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
55. C2×#898C22semidirect
56. C2×#897C22semidirect
57. C2×#895C22semidirect
58. C2×#895C22semidirect
59. C2×#894C22semidirect
61. C2×#886C22semidirect
62. C2×#886C22semidirect
63. C2×#885C22semidirect
64. C2×#884C22semidirect
70. C2×#882C22semidirect
71. C2×#882C22semidirect
72. C2×#882C22semidirect
73. C2×#882C22semidirect
74. C2×#878C22semidirect
75. C2×#876C22semidirect
76. C2×#875C22semidirect
77. C2×#875C22semidirect
78. C2×#875C22semidirect
80. C2×#874C22semidirect
81. C2×C4×D12C22semidirect
82. C3×#388C22semidirect
83. C3×#388C22semidirect
84. C3×#387C22semidirect
85. C3×#387C22semidirect
88. C3×#382C22semidirect
89. C3×#380C22semidirect
90. C3×#380C22semidirect
91. C3×C4×C4⋊C4C22semidirect
92. C3×C4×C22⋊C4C22semidirect
93. C3×C4×C22⋊C4C22semidirect
95. #5213C22semidirect
96. C2×C3⋊#95C22semidirect
97. #4994C22semidirect
98. #4994C22semidirect
99. #4994C22semidirect
100. #4994C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4991C22semidirect
110. #4991C22semidirect
111. #4991C22semidirect
112. #4991C22semidirect
113. #4991C22semidirect
114. #4991C22semidirect
115. #4991C22semidirect
116. #4991C22semidirect
117. #4988C22semidirect
118. #4987C22semidirect
119. #4984C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
124. #4960C22semidirect
125. #4960C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
129. #4958C22semidirect
130. #4958C22semidirect
131. #4958C22semidirect
132. #4958C22semidirect
134. #4955C22semidirect
135. #4950C22semidirect
136. #4943C22semidirect
137. #4940C22semidirect
138. #4940C22semidirect
139. #4940C22semidirect
140. #4940C22semidirect
142. #4939C22semidirect
143. #4939C22semidirect
144. #4939C22semidirect
145. #4939C22semidirect
146. #4939C22semidirect
147. #4939C22semidirect
148. #4936C22semidirect
149. #4929C22semidirect
150. #4677C22semidirect
151. #4677C22semidirect
152. #4674C22semidirect
153. #4674C22semidirect
154. #4674C22semidirect
155. #4674C22semidirect
156. #4673C22semidirect
157. #4673C22semidirect
158. #4673C22semidirect
159. #4673C22semidirect
160. #4673C22semidirect
161. #4672C22semidirect
162. #4672C22semidirect
163. #4672C22semidirect
168. #4671C22semidirect
169. #4671C22semidirect
170. #4671C22semidirect
171. #4671C22semidirect
172. #4671C22semidirect
173. #4671C22semidirect
174. #4671C22semidirect
175. #4670C22semidirect
176. #4670C22semidirect
177. #4668C22semidirect
178. #4668C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4659C22semidirect
188. #4659C22semidirect
189. #4656C22semidirect
220. #2352D3semidirect
272. C3×C4×D4D4semidirect
471. C2×#117C2×D3semidirect
472. C22×C4⋊C4C2×D3semidirect
550. #388C2×D3semidirect
551. #388C2×D3semidirect
552. #387C2×D3semidirect
553. #387C2×D3semidirect
575. #382C2×D3semidirect
578. #380C2×D3semidirect
579. #380C2×D3semidirect
582. C4×C4⋊C4C2×D3semidirect
583. C4×C22⋊C4C2×D3semidirect
584. C4×C22⋊C4C2×D3semidirect
630. C22×C3×C4C2×D4semidirect
764. C3×C4⋊C4C2×D4semidirect
772. C3×C22⋊C4C2×D4semidirect
777. C3×C42C2×D4semidirect
932. C4×D4D12semidirect
1401. C22×C4C2×D12semidirect
1433. C4⋊C4C2×D12semidirect
1495. C22⋊C4C2×D12semidirect
1501. C42C2×D12semidirect
1898. C3#40512semidirect

Maximal subgroups

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

subgroupindex
C2×#55542
C2×#55602
C3×#23522
#822862
#822752
#821932
C2×#49912
#759272
#759132
#759122
#756902
#753872
#751742
#751602
#751522
#748882
#748852
#748842
#746992
#742542
#742452
#740462
#740312
#740292
#738162
#738012
#735972
#735942
#735872
#735042
#405123