Finite Group Databasebeta

← #11098166

Subgroups — #11098166

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×#5560C211yesmaximal, characteristic, complemented
2C2×#5490C211yesmaximal, characteristic, complemented
3C3×#2534C211yesmaximal, characteristic, complemented
4#82901C211yesmaximal, characteristic, complemented
5#82848C211yesmaximal, characteristic, complemented
6#82606C211yesmaximal, characteristic, complemented
7#82588C211yesmaximal, characteristic, complemented
8#82352C211yesmaximal, characteristic, complemented
9C2×#4961C211yesmaximal, characteristic, complemented
10#77448C211yesmaximal, characteristic, complemented
11#77414C211yesmaximal, characteristic, complemented
12#77344C211yesmaximal, characteristic, complemented
13#77335C211yesmaximal, characteristic, complemented
14#77123C211yesmaximal, characteristic, complemented
15#77087C211yesmaximal, characteristic, complemented
16#76971C211yesmaximal, characteristic, complemented
17#76945C211yesmaximal, characteristic, complemented
18#75930C211yesmaximal, characteristic, complemented
19#75928C211yesmaximal, characteristic, complemented
20#75913C211yesmaximal, characteristic, complemented
21#75701C211yesmaximal, characteristic, complemented
22#74912C211yesmaximal, characteristic, complemented
23#74813C211yesmaximal, characteristic, complemented
24#74807C211yesmaximal, characteristic, complemented
25#74791C211yesmaximal, characteristic, complemented
26#74125C211yesmaximal, characteristic, complemented
27#74076C211yesmaximal, characteristic, complemented
28#74031C211yesmaximal, characteristic, complemented
29#73883C211yesmaximal, characteristic, complemented
30#73852C211yesmaximal, characteristic, complemented
31#73829C211yesmaximal, characteristic, complemented
32#40512—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C22×#235C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic, complemented
37C2×C3×#120C2211yescharacteristic
38C2×C3×C4×D4C2211yescharacteristic, complemented
39C22×C3×C22⋊C4C2211yescharacteristic
40C2×#953C2211yescharacteristic
41C22×#217C2211yescharacteristic
42C2×#940C2211yescharacteristic
43C2×#940C2211yescharacteristic, complemented
44C2×#939C2211yescharacteristic
45C2×#939C2211yescharacteristic
46C2×#939C2211yescharacteristic, complemented
47C2×#937C2211yescharacteristic, complemented
48C2×#937C2211yescharacteristic, complemented
49C2×#930C2211yescharacteristic
50C2×#930C2211yescharacteristic, complemented
51C2×#930C2211yescharacteristic, complemented
52C2×#929C2211yescharacteristic
53C2×#929C2211yescharacteristic, complemented
54C2×C4×#67C2211yescharacteristic
55C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
56C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
57C22×C4⋊Dic3C2211yescharacteristic, complemented
58#5560—28no—
59C2×#898C2211yescharacteristic, complemented
60C2×#894C2211yescharacteristic, complemented
61C2×#892C2211yescharacteristic, complemented
62C2×#885C2211yescharacteristic, complemented
63C2×#885C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic, complemented
65#5490—28no—
66C2×#884C2211yescharacteristic, complemented
67C2×#884C2211yescharacteristic, complemented
68C2×#884C2211yescharacteristic, complemented
69C2×#883C2211yescharacteristic, complemented
70C2×#882C2211yescharacteristic
71C2×#882C2211yescharacteristic
72C2×#882C2211yescharacteristic
73C2×#882C2211yescharacteristic
74C2×#882C2211yescharacteristic, complemented
75C2×#882C2211yescharacteristic, complemented
76C2×#67⋊C4C2211yescharacteristic, complemented
77C2×D3×C22⋊C4C2211yescharacteristic, complemented
78C2×#878C2211yescharacteristic, complemented
79C2×#878C2211yescharacteristic, complemented
80C2×#876C2211yescharacteristic, complemented
81C2×#875C2211yescharacteristic, complemented
82C3×#396C2211yescharacteristic, complemented
83C3×#396C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic, complemented
86C3×#388C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic, complemented
88C3×#386C2211yescharacteristic, complemented
89C3×#386C2211yescharacteristic, complemented
90C3×#381C2211yescharacteristic, complemented
91C3×#380C2211yescharacteristic, complemented
92C3×#379C2211yescharacteristic
93#5223C2211yescharacteristic
94#5223C2211yescharacteristic, complemented
95#5223C2211yescharacteristic, complemented
96#5223C2211yescharacteristic, complemented
97#5220C2211yescharacteristic, complemented
98#5212C2211yescharacteristic, complemented
99C2×C3⋊#95C2211yescharacteristic, complemented
100#4994C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4993C2211yescharacteristic, complemented
103#4993C2211yescharacteristic, complemented
104#4991C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4991C2211yescharacteristic, complemented
108#4991C2211yescharacteristic, complemented
109#4989C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4988C2211yescharacteristic, complemented
112#4988C2211yescharacteristic, complemented
113#4987C2211yescharacteristic, complemented
114#4979C2211yescharacteristic, complemented
115#4977C2211yescharacteristic, complemented
116Dic3×C4⋊C4C2211yescharacteristic, complemented
117#4961C2211yescharacteristic
118#4961C2211yescharacteristic
119#4961C2211yescharacteristic
120#4961C2211yescharacteristic
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4961C2211yescharacteristic, complemented
127#4961C2211yescharacteristic, complemented
128#4960C2211yescharacteristic
129#4960C2211yescharacteristic
130#4960C2211yescharacteristic
131#4960C2211yescharacteristic
132#4960C2211yescharacteristic
133#4960C2211yescharacteristic, complemented
134#4960C2211yescharacteristic, complemented
135#4960C2211yescharacteristic, complemented
136#4960C2211yescharacteristic, complemented
137#4959C2211yescharacteristic, complemented
138#4959C2211yescharacteristic, complemented
139#4959C2211yescharacteristic, complemented
140#4958C2211yescharacteristic
141#4958C2211yescharacteristic
142#4958C2211yescharacteristic
143#4958C2211yescharacteristic
144#4958C2211yescharacteristic
145#4958C2211yescharacteristic
146#4958C2211yescharacteristic, complemented
147#4958C2211yescharacteristic, complemented
148#4957C2211yescharacteristic
149#4957C2211yescharacteristic, complemented
150#4957C2211yescharacteristic, complemented
151#4957C2211yescharacteristic, complemented
152#4957C2211yescharacteristic, complemented
153#4956C2211yescharacteristic, complemented
154#4956C2211yescharacteristic, complemented
155#4955C2211yescharacteristic, complemented
156#4952C2211yescharacteristic, complemented
157#4951C2211yescharacteristic, complemented
158#4947C2211yescharacteristic, complemented
159#4947C2211yescharacteristic, complemented
160#4946C2211yescharacteristic, complemented
161#4944C2211yescharacteristic, complemented
162Dic3×C22⋊C4C2211yescharacteristic, complemented
163Dic3×C22⋊C4C2211yescharacteristic, complemented
164#4939C2211yescharacteristic, complemented
165#4928C2211yescharacteristic, complemented
166#4675C2211yescharacteristic, complemented
167#4674C2211yescharacteristic, complemented
168#4674C2211yescharacteristic, complemented
169#4673C2211yescharacteristic, complemented
170#4673C2211yescharacteristic, complemented
171#4673C2211yescharacteristic, complemented
172#4671C2211yescharacteristic, complemented
173#4671C2211yescharacteristic, complemented
174#4671C2211yescharacteristic, complemented
175#4671C2211yescharacteristic, complemented
176#4670C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4670C2211yescharacteristic, complemented
179#4669C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4665C2211yescharacteristic, complemented
182#4665C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4660C2211yescharacteristic, complemented
185#4658C2211yescharacteristic, complemented
186#4655C2211yescharacteristic, complemented
187#4655C2211yescharacteristic, complemented
188#4650C2211yescharacteristic, complemented
189#4646C2211yescharacteristic, 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#2534D311yescharacteristic, complemented
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#2352—31no—
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C22×#67—24no—
231C22×#67—42no—
232C22×#67—42no—
233C22×#67—42no—
234C22×#67—42no—
235C22×#67—42no—
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
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
252C23×Dic3C2311yescharacteristic
253C23×Dic3C2311yescharacteristic
254C23×Dic3C2311yescharacteristic
255C23×Dic3C2311yescharacteristic
256C2×#235—24no—
257C2×#235—42no—
258C2×#235—42no—
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×#123—42no—
273C3×#120—42no—
274C3×C4×D4—24no—
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C22⋊C4—24no—
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
298#953—24no—
299C2×#217—42no—
300C2×#217C2311yescharacteristic
301C2×#217C2311yescharacteristic
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310#940—42no—
311#940—42no—
312#939—24no—
313#939—42no—
314#939—42no—
315#937—24no—
316#937—42no—
317#930—24no—
318#930—24no—
319#930—42no—
320#929—24no—
321#929—24no—
322C4×#67D418yescomplemented
323C2×(C2×D3)⋊C4—24no—
324C2×(C2×D3)⋊C4—42no—
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×C4⋊Dic3—42no—
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367C2×C4⋊Dic3C2311yescharacteristic
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×Dic3⋊C4C2311yescharacteristic
374C2×Dic3⋊C4C2311yescharacteristic
375C2×Dic3⋊C4C2311yescharacteristic
376C2×C4×Dic3C2311yescharacteristic
377C2×C4×Dic3C2311yescharacteristic
378C2×C4×Dic3C2311yescharacteristic
379C2×C4×Dic3C2311yescharacteristic
380C2×C4×Dic3C2311yescharacteristic
381#898—24no—
382#894—24no—
383#892—42no—
384#885—24no—
385#885—24no—
386#885—42no—
387#884—24no—
388#884—24no—
389#884—24no—
390#883—24no—
391#882—24no—
392#882—24no—
393#882—42no—
394#882—42no—
395#882—42no—
396#882—42no—
397#67⋊C4—24no—
398D3×C22⋊C4—24no—
399#878—24no—
400#878—24no—
401#876—24no—
402#875—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×#123C2×D311yescharacteristic, complemented
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×#120C2×D311yescharacteristic
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4C2×D311yescharacteristic, complemented
471C2×#117—31no—
472C22×C4⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4C2×D311yescharacteristic
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#396C2×D311yescharacteristic, complemented
489#396C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic, complemented
511#394C2×D311yescharacteristic, complemented
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#387—31no—
553#387—31no—
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, complemented
570#386C2×D311yescharacteristic, complemented
571#385—31no—
572#385—31no—
573#385—31no—
574#382—31no—
575#382—31no—
576#381C2×D311yescharacteristic, complemented
577#380—31no—
578#380—31no—
579#380C2×D311yescharacteristic, complemented
580#379—31no—
581#379C2×D311yescharacteristic
582C4×C4⋊C4—31no—
583C4×C22⋊C4—31no—
584C4×C22⋊C4—31no—
585C2×#95—31no—
586C24×C3—22no—
587C24×C3—22no—
588C24×C3—22no—
589C24×C3—22no—
590C24×C3—41no—
591C24×C3—41no—
592C24×C3—41no—
593C24×C3C2411yescharacteristic
594C24×C3C2411yescharacteristic
595C24×C3C2411yescharacteristic
596C24×C3C2411yescharacteristic
597C23×D3—22no—
598C23×D3—22no—
599C23×D3—22no—
600C23×D3—22no—
601C23×D3—22no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3—41no—
605C23×D3—41no—
606C23×D3—41no—
607C23×D3—41no—
608C23×D3—41no—
609C23×D3—41no—
610C23×D3—41no—
611C23×D3C2411yescharacteristic
612C23×D3C2411yescharacteristic
613C23×D3C2411yescharacteristic
614C23×D3C2411yescharacteristic
615C23×D3C2411yescharacteristic
616C2×C3×D4—22no—
617C2×C3×D4—22no—
618C2×C3×D4—22no—
619C2×C3×D4—22no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4—41no—
624C2×C3×D4—41no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4C2×D414yes—
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
644C22×C3×C4C2411yescharacteristic
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—22no—
659C2×#67—22no—
660C2×#67—22no—
661C2×#67—22no—
662C2×#67—22no—
663C2×#67—22no—
664C2×#67—22no—
665C2×#67—22no—
666C2×#67—41no—
667C2×#67—41no—
668C2×#67—41no—
669C2×#67—41no—
670C2×#67—41no—
671C2×#67—41no—
672C2×#67—41no—
673C2×#67—41no—
674C2×#67—41no—
675C2×#67—41no—
676C2×#67—41no—
677C2×#67—41no—
678C2×#67—41no—
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—416no—
693C2×#67—416no—
694C2×#67C2×D414yes—
695C22×Dic3—22no—
696C22×Dic3—22no—
697C22×Dic3—22no—
698C22×Dic3—22no—
699C22×Dic3—22no—
700C22×Dic3—41no—
701C22×Dic3—41no—
702C22×Dic3—41no—
703C22×Dic3—41no—
704C22×Dic3—41no—
705C22×Dic3—41no—
706C22×Dic3—41no—
707C22×Dic3C2411yescharacteristic
708C22×Dic3C2411yescharacteristic
709C22×Dic3C2411yescharacteristic
710C22×Dic3C2411yescharacteristic
711C22×Dic3C2411yescharacteristic
712C22×Dic3C2411yescharacteristic
713C22×Dic3C2411yescharacteristic
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718#235—416no—
719C2×D12—22no—
720C2×D12—22no—
721C2×D12—22no—
722C2×D12—22no—
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—41no—
746C2×C4×D3—41no—
747C2×C4×D3—41no—
748C2×C4×D3—41no—
749C2×C4×D3—41no—
750C2×C4×D3—41no—
751C2×C4×D3C2×D414yescomplemented
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—41no—
760C3×C4⋊C4—41no—
761C3×C4⋊C4—41no—
762C3×C4⋊C4—41no—
763C3×C22⋊C4—22no—
764C3×C22⋊C4—22no—
765C3×C22⋊C4—22no—
766C3×C22⋊C4—22no—
767C3×C22⋊C4—22no—
768C3×C22⋊C4—22no—
769C3×C22⋊C4—22no—
770C3×C22⋊C4—22no—
771C3×C22⋊C4—22no—
772C3×C22⋊C4—41no—
773C3×C22⋊C4—41no—
774C3×C22⋊C4—41no—
775C3×C22⋊C4—41no—
776C3×C22⋊C4—41no—
777C3×C22⋊C4—41no—
778C3×C22⋊C4—41no—
779C3×C42—22no—
780#217—22no—
781#217—22no—
782#217—22no—
783#217—22no—
784#217—22no—
785#217—41no—
786#217—41no—
787#217—41no—
788#217—41no—
789#217C2×D414yes—
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—22no—
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)⋊C4C2×D414yescomplemented
826C4⋊Dic3—22no—
827C4⋊Dic3—22no—
828C4⋊Dic3—22no—
829C4⋊Dic3—22no—
830C4⋊Dic3—41no—
831C4⋊Dic3—41no—
832Dic3⋊C4—22no—
833Dic3⋊C4—22no—
834Dic3⋊C4—22no—
835Dic3⋊C4—22no—
836Dic3⋊C4—22no—
837Dic3⋊C4—41no—
838Dic3⋊C4—41no—
839Dic3⋊C4C2×D414yescomplemented
840C4×Dic3—22no—
841C4×Dic3—41no—
842C4×Dic3—41no—
843C4×Dic3—41no—
844C4×Dic3C2×D414yescomplemented
845C25—31no—
846C25—31no—
847C25C22×D311yescharacteristic
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—64no—
878C22×D4—122no—
879C22×D4—122no—
880C22×D4—122no—
881C22×D4—122no—
882C22×D4—122no—
883C22×D4C22×D311yescharacteristic
884C22×D4C22×D311yescharacteristic
885C22×D4C22×D311yescharacteristic
886C23×C4—31no—
887C23×C4—31no—
888C23×C4—31no—
889C23×C4—31no—
890C23×C4—31no—
891C23×C4—31no—
892C23×C4—31no—
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—42no—
905#123—64no—
906#123—64no—
907#123—64no—
908#123—64no—
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—42no—
921#120—64no—
922#120—64no—
923#120—64no—
924#120—64no—
925#120—122no—
926#120—122no—
927#120—122no—
928#120—122no—
929#120—122no—
930C4×D4—24no—
931C4×D4—38no—
932C4×D4—64no—
933#117—122no—
934C2×C4⋊C4—31no—
935C2×C4⋊C4—31no—
936C2×C4⋊C4—31no—
937C2×C4⋊C4—31no—
938C2×C4⋊C4—31no—
939C2×C4⋊C4—31no—
940C2×C4⋊C4—31no—
941C2×C4⋊C4—31no—
942C2×C4⋊C4—31no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—122no—
949C2×C4⋊C4C22×D311yescharacteristic
950C2×C4⋊C4C22×D311yescharacteristic
951C2×C4⋊C4C22×D311yescharacteristic
952C2×C4⋊C4C22×D311yescharacteristic
953C2×C4⋊C4C22×D311yescharacteristic
954C2×C22⋊C4—24no—
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—64no—
1002C2×C22⋊C4—64no—
1003C2×C22⋊C4—122no—
1004C2×C22⋊C4—122no—
1005C2×C22⋊C4C22×D311yescharacteristic
1006C2×C22⋊C4C22×D311yescharacteristic
1007C2×C22⋊C4C22×D311yescharacteristic
1008C2×C22⋊C4C22×D311yescharacteristic
1009C2×C22⋊C4C22×D311yescharacteristic
1010C2×C22⋊C4C22×D311yescharacteristic
1011C2×C22⋊C4C22×D311yescharacteristic
1012C2×C22⋊C4C22×D311yescharacteristic
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×C42—31no—
1023C2×C42—31no—
1024C2×C42—31no—
1025C2×C42—31no—
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#95—31no—
1044#95—31no—
1045#95—31no—
1046#95—31no—
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×C3—21no—
1064C23×C3—21no—
1065C23×C3—21no—
1066C23×C3—21no—
1067C23×C3—21no—
1068C23×C3—21no—
1069C23×C3—21no—
1070C23×C3—21no—
1071C23×C3—21no—
1072C23×C3—21no—
1073C23×C3—21no—
1074C23×C3—21no—
1075C23×C3—21no—
1076C23×C3—21no—
1077C23×C3—44no—
1078C23×C3—44no—
1079C23×C3—44no—
1080C23×C3—44no—
1081C23×C3—82no—
1082C23×C3—82no—
1083C23×C3—82no—
1084C23×C3C22×D412yes—
1085C23×C3H(5,𝔽2)12yes—
1086C23×C3H(5,𝔽2)12yes—
1087C23×C3H(5,𝔽2)12yes—
1088C23×C3C2511yescharacteristic
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—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—44no—
1124C22×D3—44no—
1125C22×D3—44no—
1126C22×D3—44no—
1127C22×D3—44no—
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×D3C22×D412yes—
1138C3×D4—44no—
1139C3×D4—82no—
1140C3×D4—82no—
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—82no—
1175C2×C3×C4C22×D412yes—
1176C2×C3×C4C22×D412yes—
1177#67—28no—
1178#67—44no—
1179#67—44no—
1180#67—44no—
1181#67—44no—
1182#67—44no—
1183#67—44no—
1184#67—44no—
1185#67—44no—
1186#67—44no—
1187#67—82no—
1188#67—82no—
1189#67—82no—
1190#67—82no—
1191#67—82no—
1192#67—82no—
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—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—44no—
1223C2×Dic3—44no—
1224C2×Dic3—82no—
1225C2×Dic3—82no—
1226C2×Dic3C22×D412yes—
1227C2×Dic3C22×D412yes—
1228C2×Dic3C22×D412yes—
1229C2×Dic3H(5,𝔽2)12yes—
1230D12—44no—
1231D12—82no—
1232D12—82no—
1233D12—82no—
1234D12—82no—
1235D12—82no—
1236D12—82no—
1237D12—82no—
1238C4×D3—44no—
1239C4×D3—44no—
1240C4×D3—44no—
1241Dic6—44no—
1242Dic6—82no—
1243C24—22no—
1244C24—22no—
1245C24—22no—
1246C24—22no—
1247C24—31no—
1248C24—31no—
1249C24—31no—
1250C24—31no—
1251C24—31no—
1252C24—41no—
1253C24—41no—
1254C24—41no—
1255C24—62no—
1256C24—62no—
1257C24—62no—
1258C24—62no—
1259C24—62no—
1260C24—121no—
1261C24—121no—
1262C24—121no—
1263C24—121no—
1264C24—121no—
1265C24—121no—
1266C24—121no—
1267C24—121no—
1268C24—121no—
1269C24C23×D311yescharacteristic
1270C24C23×D311yescharacteristic
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—22no—
1283C2×D4—22no—
1284C2×D4—34no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
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—62no—
1310C2×D4—62no—
1311C2×D4—62no—
1312C2×D4—62no—
1313C2×D4—62no—
1314C2×D4—62no—
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—121no—
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×D4—1216no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—31no—
1368C22×C4—31no—
1369C22×C4—31no—
1370C22×C4—31no—
1371C22×C4—34no—
1372C22×C4—31no—
1373C22×C4—31no—
1374C22×C4—31no—
1375C22×C4—31no—
1376C22×C4—31no—
1377C22×C4—31no—
1378C22×C4—31no—
1379C22×C4—41no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—41no—
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×C4—121no—
1401C22×C4—121no—
1402C22×C4—121no—
1403C22×C4D3×D414yes—
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—34no—
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—62no—
1430C4⋊C4—121no—
1431C4⋊C4—121no—
1432C4⋊C4—121no—
1433C4⋊C4—121no—
1434C22⋊C4—22no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—34no—
1444C22⋊C4—34no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
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—62no—
1467C22⋊C4—62no—
1468C22⋊C4—62no—
1469C22⋊C4—62no—
1470C22⋊C4—62no—
1471C22⋊C4—62no—
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⋊C4—121no—
1495C22⋊C4—121no—
1496C42—22no—
1497C42—34no—
1498C42—62no—
1499C42—121no—
1500C42—121no—
1501C42—121no—
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—41no—
1516C22×C3—41no—
1517C22×C3—41no—
1518C22×C3—41no—
1519C22×C3—41no—
1520C22×C3—41no—
1521C22×C3—41no—
1522C22×C3—41no—
1523C22×C3—41no—
1524C22×C3—41no—
1525C22×C3—41no—
1526C22×C3—41no—
1527C22×C3—41no—
1528C22×C3—41no—
1529C22×C3—88no—
1530C22×C3#53514yes—
1531C22×C3C23×D411yescharacteristic
1532C22×C3C2×H(5,𝔽2)11yescharacteristic
1533C22×C3C2×H(5,𝔽2)11yescharacteristic
1534C22×C3C2×H(5,𝔽2)11yescharacteristic
1535C22×C3C2×H(5,𝔽2)11yescharacteristic
1536C22×C3#58511yescharacteristic
1537C22×C3#58511yescharacteristic
1538C2×D3—22no—
1539C2×D3—22no—
1540C2×D3—22no—
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—41no—
1573C2×D3—88no—
1574C2×D3—88no—
1575C3×C4—22no—
1576C3×C4—22no—
1577C3×C4—41no—
1578C3×C4—41no—
1579C3×C4—41no—
1580C3×C4—41no—
1581C3×C4—41no—
1582C3×C4—41no—
1583C3×C4—41no—
1584C3×C4—41no—
1585C3×C4—41no—
1586Dic3—22no—
1587Dic3—22no—
1588Dic3—22no—
1589Dic3—22no—
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—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—32no—
1622C23—44no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
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—61no—
1657C23—61no—
1658C23—61no—
1659C23—61no—
1660C23—82no—
1661C23—82no—
1662C23—82no—
1663C23—124no—
1664C23—124no—
1665C23—124no—
1666C23—124no—
1667C23—124no—
1668C23—242no—
1669C23—242no—
1670C23—242no—
1671C23—242no—
1672C23—242no—
1673C23—242no—
1674C23—242no—
1675C23—242no—
1676C23—242no—
1677C23C2×D3×D412yes—
1678C23#100412yes—
1679C23#100912yes—
1680C23#100912yes—
1681C23C24×D311yescharacteristic
1682Q8—124no—
1683Q8—242no—
1684D4—44no—
1685D4—68no—
1686D4—82no—
1687D4—82no—
1688D4—124no—
1689D4—124no—
1690D4—124no—
1691D4—124no—
1692D4—124no—
1693D4—124no—
1694D4—124no—
1695D4—124no—
1696D4—124no—
1697D4—124no—
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—32no—
1743C2×C4—32no—
1744C2×C4—32no—
1745C2×C4—32no—
1746C2×C4—44no—
1747C2×C4—44no—
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—61no—
1775C2×C4—61no—
1776C2×C4—61no—
1777C2×C4—82no—
1778C2×C4—124no—
1779C2×C4—124no—
1780C2×C4—124no—
1781C2×C4—124no—
1782C2×C4—124no—
1783C2×C4—242no—
1784C2×C4—242no—
1785C2×C4C2×D3×D412yes—
1786C2×C4C2×D3×D412yes—
1787C2×C3—24no—
1788C2×C3—42no—
1789C2×C3—81no—
1790C2×C3—81no—
1791C2×C3C2×#53511yescharacteristic
1792C2×C3#348811yescharacteristic
1793C2×C3#349611yescharacteristic
1794C2×C3#353211yescharacteristic
1795C2×C3#353311yescharacteristic
1796C2×C3#353411yescharacteristic
1797C2×C3#355811yescharacteristic
1798D3—42no—
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—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—62no—
1831C22—62no—
1832C22—62no—
1833C22—88no—
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—121no—
1866C22—248no—
1867C22—248no—
1868C22#560714yes—
1869C22C22×D3×D411yescharacteristic
1870C22C2×#100411yescharacteristic
1871C22C2×#100911yescharacteristic
1872C22C2×#100911yescharacteristic
1873C22#596411yescharacteristic
1874C22D3×H(5,𝔽2)11yescharacteristic
1875C22#596611yescharacteristic
1876C4—22no—
1877C4—22no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
1887C4—62no—
1888C4—62no—
1889C4—62no—
1890C4—62no—
1891C4—121no—
1892C4—121no—
1893C4—121no—
1894C4—121no—
1895C4—121no—
1896C4—121no—
1897C4—121no—
1898C3#4051211yescharacteristic, complemented, Sylow
1899C2—24no—
1900C2—42no—
1901C2—81no—
1902C2—81no—
1903C2—122no—
1904C2—241no—
1905C2—241no—
1906C2—241no—
1907C2—241no—
1908C2C2×#560711yescharacteristic
1909C2#8604111yescharacteristic
1910C2#8629811yescharacteristic
1911C2#8664411yescharacteristic
1912C2#8665511yescharacteristic
1913C2#8681811yescharacteristic
1914C2#8681911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2534C2
hypercenter#2534D3
hypocenterC3#40512
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2534

Complements

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

NH ≅ G/Ntype
1. C2×#5560C2semidirect
2. C2×#5490C2semidirect
3. C3×#2534C2semidirect
4. #82901C2semidirect
5. #82848C2semidirect
6. #82606C2semidirect
7. #82588C2semidirect
8. #82352C2semidirect
9. C2×#4961C2semidirect
10. #77448C2semidirect
11. #77414C2semidirect
12. #77344C2semidirect
13. #77335C2semidirect
14. #77123C2semidirect
15. #77087C2semidirect
16. #76971C2semidirect
17. #76945C2semidirect
18. #75930C2semidirect
19. #75928C2semidirect
20. #75913C2semidirect
21. #75701C2semidirect
22. #74912C2semidirect
23. #74813C2semidirect
24. #74807C2semidirect
25. #74791C2semidirect
26. #74125C2semidirect
27. #74076C2semidirect
28. #74031C2semidirect
29. #73883C2semidirect
30. #73852C2semidirect
31. #73829C2semidirect
36. C2×C3×#123C22semidirect
38. C2×C3×C4×D4C22semidirect
43. C2×#940C22semidirect
46. C2×#939C22semidirect
47. C2×#937C22semidirect
48. C2×#937C22semidirect
50. C2×#930C22semidirect
51. C2×#930C22semidirect
53. C2×#929C22semidirect
55. C22×(C2×D3)⋊C4C22semidirect
56. C22×(C2×D3)⋊C4C22semidirect
57. C22×C4⋊Dic3C22semidirect
59. C2×#898C22semidirect
60. C2×#894C22semidirect
61. C2×#892C22semidirect
62. C2×#885C22semidirect
63. C2×#885C22semidirect
64. C2×#885C22semidirect
66. C2×#884C22semidirect
67. C2×#884C22semidirect
68. C2×#884C22semidirect
69. C2×#883C22semidirect
74. C2×#882C22semidirect
75. C2×#882C22semidirect
76. C2×#67⋊C4C22semidirect
77. C2×D3×C22⋊C4C22semidirect
78. C2×#878C22semidirect
79. C2×#878C22semidirect
80. C2×#876C22semidirect
81. C2×#875C22semidirect
82. C3×#396C22semidirect
83. C3×#396C22semidirect
84. C3×#394C22semidirect
85. C3×#394C22semidirect
86. C3×#388C22semidirect
87. C3×#388C22semidirect
88. C3×#386C22semidirect
89. C3×#386C22semidirect
90. C3×#381C22semidirect
91. C3×#380C22semidirect
94. #5223C22semidirect
95. #5223C22semidirect
96. #5223C22semidirect
97. #5220C22semidirect
98. #5212C22semidirect
99. C2×C3⋊#95C22semidirect
100. #4994C22semidirect
101. #4994C22semidirect
102. #4993C22semidirect
103. #4993C22semidirect
104. #4991C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4991C22semidirect
108. #4991C22semidirect
109. #4989C22semidirect
110. #4989C22semidirect
111. #4988C22semidirect
112. #4988C22semidirect
113. #4987C22semidirect
114. #4979C22semidirect
115. #4977C22semidirect
116. Dic3×C4⋊C4C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4961C22semidirect
127. #4961C22semidirect
133. #4960C22semidirect
134. #4960C22semidirect
135. #4960C22semidirect
136. #4960C22semidirect
137. #4959C22semidirect
138. #4959C22semidirect
139. #4959C22semidirect
146. #4958C22semidirect
147. #4958C22semidirect
149. #4957C22semidirect
150. #4957C22semidirect
151. #4957C22semidirect
152. #4957C22semidirect
153. #4956C22semidirect
154. #4956C22semidirect
155. #4955C22semidirect
156. #4952C22semidirect
157. #4951C22semidirect
158. #4947C22semidirect
159. #4947C22semidirect
160. #4946C22semidirect
161. #4944C22semidirect
162. Dic3×C22⋊C4C22semidirect
163. Dic3×C22⋊C4C22semidirect
164. #4939C22semidirect
165. #4928C22semidirect
166. #4675C22semidirect
167. #4674C22semidirect
168. #4674C22semidirect
169. #4673C22semidirect
170. #4673C22semidirect
171. #4673C22semidirect
172. #4671C22semidirect
173. #4671C22semidirect
174. #4671C22semidirect
175. #4671C22semidirect
176. #4670C22semidirect
177. #4670C22semidirect
178. #4670C22semidirect
179. #4669C22semidirect
180. #4665C22semidirect
181. #4665C22semidirect
182. #4665C22semidirect
183. #4665C22semidirect
184. #4660C22semidirect
185. #4658C22semidirect
186. #4655C22semidirect
187. #4655C22semidirect
188. #4650C22semidirect
189. #4646C22semidirect
209. #2534D3semidirect
322. C4×#67D4semidirect
446. C2×#123C2×D3semidirect
470. C2×C4×D4C2×D3semidirect
488. #396C2×D3semidirect
489. #396C2×D3semidirect
510. #394C2×D3semidirect
511. #394C2×D3semidirect
550. #388C2×D3semidirect
551. #388C2×D3semidirect
569. #386C2×D3semidirect
570. #386C2×D3semidirect
576. #381C2×D3semidirect
579. #380C2×D3semidirect
751. C2×C4×D3C2×D4semidirect
825. (C2×D3)⋊C4C2×D4semidirect
839. Dic3⋊C4C2×D4semidirect
844. C4×Dic3C2×D4semidirect
1898. C3#40512semidirect

Maximal subgroups

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

subgroupindex
C2×#55602
C2×#54902
C3×#25342
#829012
#828482
#826062
#825882
#823522
C2×#49612
#774482
#774142
#773442
#773352
#771232
#770872
#769712
#769452
#759302
#759282
#759132
#757012
#749122
#748132
#748072
#747912
#741252
#740762
#740312
#738832
#738522
#738292
#405123