Finite Group Databasebeta

← #11098049

Subgroups — #11098049

Order 768.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5493C211yesmaximal, characteristic, complemented
2C2×#5495C211yesmaximal, characteristic, complemented
3C3×#2342C211yesmaximal, characteristic, complemented
4#82287C211yesmaximal, characteristic, complemented
5#82276C211yesmaximal, characteristic, complemented
6#82127C211yesmaximal, characteristic, complemented
7C2×#4961C211yesmaximal, characteristic, complemented
8#75918C211yesmaximal, characteristic, complemented
9#75918C211yesmaximal, characteristic, complemented
10#75916C211yesmaximal, characteristic, complemented
11#75913C211yesmaximal, characteristic, complemented
12#75696C211yesmaximal, characteristic, complemented
13#75696C211yesmaximal, characteristic, complemented
14#75690C211yesmaximal, characteristic, complemented
15#75687C211yesmaximal, characteristic, complemented
16#74605C211yesmaximal, characteristic, complemented
17#74602C211yesmaximal, characteristic, complemented
18#74410C211yesmaximal, characteristic, complemented
19#74407C211yesmaximal, characteristic, complemented
20#74145C211yesmaximal, characteristic, complemented
21#74137C211yesmaximal, characteristic, complemented
22#74046C211yesmaximal, characteristic, complemented
23#74033C211yesmaximal, characteristic, complemented
24#73855C211yesmaximal, characteristic, complemented
25#73823C211yesmaximal, characteristic, complemented
26#73611C211yesmaximal, characteristic, complemented
27#73597C211yesmaximal, characteristic, complemented
28#73594C211yesmaximal, characteristic, complemented
29#73516C211yesmaximal, characteristic, complemented
30#73515C211yesmaximal, characteristic, complemented
31#73504C211yesmaximal, characteristic, complemented
32#40509—31nomaximal, Sylow
33C23×#67C2211yescharacteristic
34C23×#67C2211yescharacteristic
35C2×C3×#117C2211yescharacteristic, complemented
36C22×C3×C22⋊C4C2211yescharacteristic
37C22×C3×C22⋊C4C2211yescharacteristic
38C2×#953C2211yescharacteristic
39C22×#217C2211yescharacteristic
40C2×#930C2211yescharacteristic
41C2×#930C2211yescharacteristic
42C2×#930C2211yescharacteristic
43C2×#930C2211yescharacteristic
44C2×#930C2211yescharacteristic
45C2×#930C2211yescharacteristic
46C2×#929C2211yescharacteristic, complemented
47C2×C4×#67C2211yescharacteristic, complemented
48C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
49C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
50C2×#926C2211yescharacteristic, complemented
51C22×C4⋊Dic3C2211yescharacteristic, complemented
52C2×#924C2211yescharacteristic, complemented
53C2×#895C2211yescharacteristic, complemented
54#5495—28no—
55#5493—28no—
56C2×#886C2211yescharacteristic
57C2×#886C2211yescharacteristic
58C2×#886C2211yescharacteristic
59C2×#886C2211yescharacteristic
60C2×#886C2211yescharacteristic
61C2×#886C2211yescharacteristic
62C2×#886C2211yescharacteristic, complemented
63C2×#886C2211yescharacteristic, complemented
64C2×#885C2211yescharacteristic, complemented
65C2×#883C2211yescharacteristic, complemented
66C2×#882C2211yescharacteristic
67C2×#882C2211yescharacteristic
68C2×#882C2211yescharacteristic
69C2×#882C2211yescharacteristic
70C2×#882C2211yescharacteristic, complemented
71C2×#882C2211yescharacteristic, complemented
72C2×#67⋊C4C2211yescharacteristic, complemented
73C2×#879C2211yescharacteristic, complemented
74C2×#879C2211yescharacteristic, complemented
75C2×#878C2211yescharacteristic, complemented
76C2×#877C2211yescharacteristic, complemented
77C2×#875C2211yescharacteristic, complemented
78C3×#388C2211yescharacteristic, complemented
79C3×#388C2211yescharacteristic, complemented
80C3×#388C2211yescharacteristic, complemented
81C3×#388C2211yescharacteristic, complemented
82C3×#385C2211yescharacteristic, complemented
83C3×#385C2211yescharacteristic, complemented
84C3×#381C2211yescharacteristic, complemented
85C3×#380C2211yescharacteristic, complemented
86C3×#379C2211yescharacteristic
87C3×C4×C22⋊C4C2211yescharacteristic, complemented
88C3×C4×C22⋊C4C2211yescharacteristic, complemented
89C3×C4×C22⋊C4C2211yescharacteristic, complemented
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92C2×C3⋊#95C2211yescharacteristic, complemented
93#4994C2211yescharacteristic, complemented
94#4994C2211yescharacteristic, complemented
95#4994C2211yescharacteristic, complemented
96#4994C2211yescharacteristic, complemented
97#4994C2211yescharacteristic, complemented
98#4994C2211yescharacteristic, complemented
99#4991C2211yescharacteristic, complemented
100#4991C2211yescharacteristic, complemented
101#4988C2211yescharacteristic, complemented
102#4988C2211yescharacteristic, complemented
103#4988C2211yescharacteristic, complemented
104#4987C2211yescharacteristic, complemented
105#4984C2211yescharacteristic, complemented
106#4984C2211yescharacteristic, complemented
107#4984C2211yescharacteristic, complemented
108#4961C2211yescharacteristic
109#4961C2211yescharacteristic
110#4961C2211yescharacteristic
111#4961C2211yescharacteristic
112#4961C2211yescharacteristic
113#4961C2211yescharacteristic
114#4961C2211yescharacteristic, complemented
115#4961C2211yescharacteristic, complemented
116#4961C2211yescharacteristic, complemented
117#4961C2211yescharacteristic, complemented
118#4961C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4961C2211yescharacteristic, complemented
126#4960C2211yescharacteristic
127#4960C2211yescharacteristic
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4958C2211yescharacteristic
133#4958C2211yescharacteristic
134#4958C2211yescharacteristic, complemented
135#4955C2211yescharacteristic, complemented
136#4955C2211yescharacteristic, complemented
137#4955C2211yescharacteristic, complemented
138#4955C2211yescharacteristic, complemented
139#4950C2211yescharacteristic, complemented
140#4950C2211yescharacteristic, complemented
141#4950C2211yescharacteristic, complemented
142#4943C2211yescharacteristic, complemented
143#4940C2211yescharacteristic, complemented
144#4940C2211yescharacteristic, complemented
145#4940C2211yescharacteristic, complemented
146#4940C2211yescharacteristic, complemented
147#4939C2211yescharacteristic, complemented
148#4939C2211yescharacteristic, complemented
149#4939C2211yescharacteristic, complemented
150#4939C2211yescharacteristic, complemented
151#4939C2211yescharacteristic, complemented
152#4939C2211yescharacteristic, complemented
153#4939C2211yescharacteristic, complemented
154#4936C2211yescharacteristic, complemented
155#4935C2211yescharacteristic, complemented
156#4935C2211yescharacteristic, complemented
157#4929C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4677C2211yescharacteristic, complemented
160#4677C2211yescharacteristic, complemented
161#4677C2211yescharacteristic, complemented
162#4677C2211yescharacteristic, complemented
163#4677C2211yescharacteristic, complemented
164#4674C2211yescharacteristic, complemented
165#4674C2211yescharacteristic, complemented
166#4674C2211yescharacteristic, complemented
167#4673C2211yescharacteristic, complemented
168#4673C2211yescharacteristic, complemented
169#4672C2211yescharacteristic, complemented
170#4672C2211yescharacteristic, complemented
171#4672C2211yescharacteristic, complemented
172#4672C2211yescharacteristic, complemented
173#4672C2211yescharacteristic, complemented
174#4671C2211yescharacteristic, complemented
175#4671C2211yescharacteristic, complemented
176#4671C2211yescharacteristic, complemented
177#4670C2211yescharacteristic, complemented
178#4670C2211yescharacteristic, complemented
179#4670C2211yescharacteristic, complemented
180#4670C2211yescharacteristic, complemented
181#4670C2211yescharacteristic, complemented
182#4670C2211yescharacteristic, complemented
183#4665C2211yescharacteristic, complemented
184#4665C2211yescharacteristic, complemented
185#4661C2211yescharacteristic, complemented
186#4661C2211yescharacteristic, complemented
187#4661C2211yescharacteristic, complemented
188#4659C2211yescharacteristic, complemented
189#4659C2211yescharacteristic, complemented
190C2×#551—31no—
191C2×#534—31no—
192#2816—31no—
193#2813—31no—
194#2718—31no—
195#2718—31no—
196#2710—31no—
197#2706—31no—
198#2685—31no—
199#2685—31no—
200#2678—31no—
201#2670—31no—
202#2661—31no—
203#2635—31no—
204#2624—31no—
205#2620—31no—
206#2613—31no—
207#2539—31no—
208#2501—31no—
209#2500—31no—
210#2488—31no—
211#2472—31no—
212#2425—31no—
213#2424—31no—
214#2414—31no—
215#2413—31no—
216#2411—31no—
217#2410—31no—
218#2405—31no—
219C2×#394—31no—
220#2342D311yescharacteristic, complemented
221C25×C3C2311yescharacteristic
222C24×D3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C23×C3×C4C2311yescharacteristic
225C23×C3×C4C2311yescharacteristic
226C23×C3×C4C2311yescharacteristic
227C23×C3×C4C2311yescharacteristic
228C22×#67—24no—
229C22×#67—24no—
230C22×#67—42no—
231C22×#67—42no—
232C22×#67—42no—
233C22×#67—42no—
234C22×#67C2311yescharacteristic
235C22×#67C2311yescharacteristic
236C22×#67C2311yescharacteristic
237C22×#67C2311yescharacteristic
238C22×#67C2311yescharacteristic
239C22×#67C2311yescharacteristic
240C22×#67C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C23×Dic3C2311yescharacteristic
246C23×Dic3C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C22×D12C2311yescharacteristic
250C22×D12C2311yescharacteristic
251C22×D12C2311yescharacteristic
252C22×D12C2311yescharacteristic
253C22×D12C2311yescharacteristic
254C22×D12C2311yescharacteristic
255C22×D12C2311yescharacteristic
256C22×D12C2311yescharacteristic
257C22×C4×D3C2311yescharacteristic
258C22×Dic6C2311yescharacteristic
259C3×#117—42no—
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C22⋊C4—42no—
265C2×C3×C22⋊C4D418yescomplemented
266C2×C3×C22⋊C4C2311yescharacteristic
267C2×C3×C22⋊C4C2311yescharacteristic
268C2×C3×C22⋊C4C2311yescharacteristic
269C2×C3×C22⋊C4C2311yescharacteristic
270C2×C3×C22⋊C4C2311yescharacteristic
271C2×C3×C22⋊C4C2311yescharacteristic
272C2×C3×C22⋊C4C2311yescharacteristic
273C2×C3×C22⋊C4C2311yescharacteristic
274C2×C3×C22⋊C4C2311yescharacteristic
275C2×C3×C22⋊C4C2311yescharacteristic
276C2×C3×C22⋊C4C2311yescharacteristic
277C2×C3×C22⋊C4C2311yescharacteristic
278C2×C3×C22⋊C4C2311yescharacteristic
279C2×C3×C22⋊C4C2311yescharacteristic
280C2×C3×C42C2311yescharacteristic
281C2×C3×C42C2311yescharacteristic
282C2×C3×C42C2311yescharacteristic
283C2×C3×C42C2311yescharacteristic
284#953—24no—
285C2×#217—24no—
286C2×#217C2311yescharacteristic
287C2×#217C2311yescharacteristic
288C2×#217C2311yescharacteristic
289C2×#217C2311yescharacteristic
290C2×#217C2311yescharacteristic
291C2×#217C2311yescharacteristic
292C2×#217C2311yescharacteristic
293#930—24no—
294#930—24no—
295#930—24no—
296#930—24no—
297#930—42no—
298#930—42no—
299#929—24no—
300C4×#67—24no—
301C2×(C2×D3)⋊C4—42no—
302C2×(C2×D3)⋊C4—42no—
303C2×(C2×D3)⋊C4C2311yescharacteristic
304C2×(C2×D3)⋊C4C2311yescharacteristic
305C2×(C2×D3)⋊C4C2311yescharacteristic
306C2×(C2×D3)⋊C4C2311yescharacteristic
307C2×(C2×D3)⋊C4C2311yescharacteristic
308C2×(C2×D3)⋊C4C2311yescharacteristic
309C2×(C2×D3)⋊C4C2311yescharacteristic
310C2×(C2×D3)⋊C4C2311yescharacteristic
311C2×(C2×D3)⋊C4C2311yescharacteristic
312C2×(C2×D3)⋊C4C2311yescharacteristic
313C2×(C2×D3)⋊C4C2311yescharacteristic
314C2×(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
346#926—24no—
347C2×C4⋊Dic3—42no—
348C2×C4⋊Dic3C2311yescharacteristic
349C2×C4⋊Dic3C2311yescharacteristic
350C2×C4⋊Dic3C2311yescharacteristic
351C2×C4⋊Dic3C2311yescharacteristic
352C2×C4⋊Dic3C2311yescharacteristic
353C2×C4⋊Dic3C2311yescharacteristic
354C2×C4⋊Dic3C2311yescharacteristic
355C2×C4⋊Dic3C2311yescharacteristic
356C2×C4⋊Dic3C2311yescharacteristic
357C2×C4⋊Dic3C2311yescharacteristic
358C2×C4⋊Dic3C2311yescharacteristic
359C2×C4⋊Dic3C2311yescharacteristic
360C2×C4⋊Dic3C2311yescharacteristic
361C2×C4⋊Dic3C2311yescharacteristic
362C2×C4⋊Dic3C2311yescharacteristic
363C2×C4⋊Dic3C2311yescharacteristic
364C2×C4⋊Dic3C2311yescharacteristic
365C2×C4⋊Dic3C2311yescharacteristic
366C2×C4⋊Dic3C2311yescharacteristic
367#924—24no—
368C2×Dic3⋊C4C2311yescharacteristic
369C2×Dic3⋊C4C2311yescharacteristic
370C2×Dic3⋊C4C2311yescharacteristic
371C2×Dic3⋊C4C2311yescharacteristic
372C2×Dic3⋊C4C2311yescharacteristic
373C2×C4×Dic3C2311yescharacteristic
374C2×C4×Dic3C2311yescharacteristic
375C2×C4×Dic3C2311yescharacteristic
376#895—42no—
377#886—24no—
378#886—24no—
379#886—24no—
380#886—24no—
381#886—24no—
382#886—42no—
383#886—42no—
384#886—42no—
385#885—24no—
386#883—24no—
387#882—24no—
388#882—24no—
389#882—24no—
390#882—24no—
391#882—42no—
392#882—42no—
393#67⋊C4—24no—
394#879—24no—
395#879—24no—
396#878—24no—
397#877—24no—
398#875—42no—
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C3×#95C2311yescharacteristic
402C3×#95C2311yescharacteristic
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
423C23×D4—31no—
424C23×D4—31no—
425#551—68no—
426#534—68no—
427C2×#126—31no—
428C2×#126—31no—
429C2×#124—31no—
430C2×#124—31no—
431C2×#123—31no—
432C2×#123—31no—
433C2×#123—31no—
434C2×#123—31no—
435C2×#123—31no—
436C2×#123—31no—
437C2×#123—31no—
438C2×#123—31no—
439C2×#123—31no—
440C2×#123—31no—
441C2×C22⋊Q8—31no—
442C2×C22⋊Q8—31no—
443C2×#121—31no—
444C2×#121—31no—
445C2×#121—31no—
446C2×#121—31no—
447C2×#121—31no—
448C2×#121—31no—
449C2×#121—31no—
450C2×#120—31no—
451C2×#120—31no—
452C2×#120—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×C4×D4—31no—
458C2×C4×D4—31no—
459C2×#117—31no—
460C2×#117—31no—
461C2×#117C2×D311yescharacteristic, complemented
462C22×C4⋊C4—31no—
463C22×C22⋊C4—31no—
464C22×C22⋊C4—31no—
465C22×C22⋊C4—31no—
466C22×C22⋊C4C2×D311yescharacteristic
467C22×C22⋊C4C2×D311yescharacteristic
468#400—31no—
469#400—31no—
470#399—31no—
471#399—31no—
472#399—31no—
473#399—31no—
474#399—31no—
475#399—31no—
476#398—31no—
477#398—31no—
478#398—31no—
479#397—31no—
480#397—31no—
481#397—31no—
482#396—31no—
483#396—31no—
484#396—31no—
485#396—31no—
486#396—31no—
487#396—31no—
488#394—31no—
489#394—31no—
490#394—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#394—31no—
513#393—31no—
514#393—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#392—31no—
519#392—31no—
520#392—31no—
521#392—31no—
522#392—31no—
523#392—31no—
524#391—31no—
525#390—31no—
526#390—31no—
527#390—31no—
528#390—31no—
529#390—31no—
530#390—31no—
531#390—31no—
532#390—31no—
533#390—31no—
534#390—31no—
535#389—31no—
536#389—31no—
537#389—31no—
538#388—31no—
539#388—31no—
540#388—31no—
541#388—31no—
542#388—31no—
543#388—31no—
544#388—31no—
545#388—31no—
546#388—31no—
547#388—31no—
548#388C2×D311yescharacteristic, complemented
549#388C2×D311yescharacteristic, complemented
550#388C2×D311yescharacteristic, complemented
551#388C2×D311yescharacteristic, complemented
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386—31no—
557#386—31no—
558#386—31no—
559#385—31no—
560#385—31no—
561#385—31no—
562#385C2×D311yescharacteristic, complemented
563#385C2×D311yescharacteristic, complemented
564#384—31no—
565#384—31no—
566#382—31no—
567#381—31no—
568#381C2×D311yescharacteristic, complemented
569#380—31no—
570#380C2×D311yescharacteristic, complemented
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379C2×D311yescharacteristic
576C4×C22⋊C4C2×D311yescharacteristic, complemented
577C4×C22⋊C4C2×D311yescharacteristic, complemented
578C4×C22⋊C4C2×D311yescharacteristic, complemented
579C2×#95—31no—
580C24×C3—22no—
581C24×C3—22no—
582C24×C3—41no—
583C24×C3—41no—
584C24×C3—41no—
585C24×C3—41no—
586C24×C3C2×D414yes—
587C24×C3C2411yescharacteristic
588C24×C3C2411yescharacteristic
589C24×C3C2411yescharacteristic
590C23×D3—22no—
591C23×D3—22no—
592C23×D3—22no—
593C23×D3—22no—
594C23×D3—41no—
595C23×D3—41no—
596C23×D3—41no—
597C23×D3—41no—
598C23×D3—41no—
599C23×D3—41no—
600C23×D3—41no—
601C23×D3—41no—
602C23×D3—41no—
603C23×D3—41no—
604C23×D3C2411yescharacteristic
605C23×D3C2411yescharacteristic
606C23×D3C2411yescharacteristic
607C23×D3C2411yescharacteristic
608C23×D3C2411yescharacteristic
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4C2×D414yes—
620C22×C3×C4C2×D414yes—
621C22×C3×C4C2411yescharacteristic
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C2×#67—22no—
634C2×#67—22no—
635C2×#67—22no—
636C2×#67—22no—
637C2×#67—22no—
638C2×#67—22no—
639C2×#67—22no—
640C2×#67—22no—
641C2×#67—22no—
642C2×#67—22no—
643C2×#67—22no—
644C2×#67—22no—
645C2×#67—22no—
646C2×#67—22no—
647C2×#67—22no—
648C2×#67—22no—
649C2×#67—22no—
650C2×#67—41no—
651C2×#67—41no—
652C2×#67—41no—
653C2×#67—41no—
654C2×#67—41no—
655C2×#67—41no—
656C2×#67—41no—
657C2×#67—41no—
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—416no—
667C2×#67—416no—
668C22×Dic3—22no—
669C22×Dic3—22no—
670C22×Dic3—22no—
671C22×Dic3—22no—
672C22×Dic3—22no—
673C22×Dic3—22no—
674C22×Dic3—22no—
675C22×Dic3—22no—
676C22×Dic3—41no—
677C22×Dic3—41no—
678C22×Dic3—41no—
679C22×Dic3—41no—
680C22×Dic3C2411yescharacteristic
681C22×Dic3C2411yescharacteristic
682C22×Dic3C2411yescharacteristic
683C22×Dic3C2411yescharacteristic
684C22×Dic3C2411yescharacteristic
685C22×Dic3C2411yescharacteristic
686C22×Dic3C2411yescharacteristic
687C22×Dic3C2411yescharacteristic
688C22×Dic3C2411yescharacteristic
689C22×Dic3C2411yescharacteristic
690C22×Dic3C2411yescharacteristic
691C2×D12—22no—
692C2×D12—22no—
693C2×D12—22no—
694C2×D12—22no—
695C2×D12—22no—
696C2×D12—41no—
697C2×D12—41no—
698C2×D12—41no—
699C2×D12—41no—
700C2×D12—41no—
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—41no—
713C2×D12—41no—
714C2×D12—41no—
715C2×C4×D3—22no—
716C2×C4×D3—41no—
717C2×C4×D3—41no—
718C2×Dic6—22no—
719C2×Dic6—41no—
720C2×Dic6—41no—
721C3×C4⋊C4—22no—
722C3×C4⋊C4—41no—
723C3×C4⋊C4—41no—
724C3×C4⋊C4—41no—
725C3×C22⋊C4—22no—
726C3×C22⋊C4—22no—
727C3×C22⋊C4—22no—
728C3×C22⋊C4—22no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4C2×D414yes—
736C3×C22⋊C4C2×D414yes—
737C3×C22⋊C4C2×D414yes—
738C3×C22⋊C4C2×D414yes—
739C3×C42—22no—
740C3×C42—41no—
741C3×C42—41no—
742C3×C42—41no—
743#217—22no—
744#217—22no—
745#217—22no—
746#217—22no—
747#217—22no—
748#217—22no—
749#217—22no—
750(C2×D3)⋊C4—22no—
751(C2×D3)⋊C4—22no—
752(C2×D3)⋊C4—22no—
753(C2×D3)⋊C4—22no—
754(C2×D3)⋊C4—22no—
755(C2×D3)⋊C4—22no—
756(C2×D3)⋊C4—22no—
757(C2×D3)⋊C4—22no—
758(C2×D3)⋊C4—22no—
759(C2×D3)⋊C4—22no—
760(C2×D3)⋊C4—22no—
761(C2×D3)⋊C4—22no—
762(C2×D3)⋊C4—22no—
763(C2×D3)⋊C4—22no—
764(C2×D3)⋊C4—41no—
765(C2×D3)⋊C4—41no—
766(C2×D3)⋊C4—41no—
767(C2×D3)⋊C4—41no—
768(C2×D3)⋊C4—41no—
769(C2×D3)⋊C4—41no—
770(C2×D3)⋊C4—41no—
771(C2×D3)⋊C4—41no—
772(C2×D3)⋊C4—41no—
773(C2×D3)⋊C4—41no—
774(C2×D3)⋊C4—41no—
775(C2×D3)⋊C4—41no—
776(C2×D3)⋊C4—41no—
777(C2×D3)⋊C4—41no—
778(C2×D3)⋊C4—41no—
779(C2×D3)⋊C4—41no—
780(C2×D3)⋊C4—41no—
781(C2×D3)⋊C4—41no—
782(C2×D3)⋊C4—41no—
783(C2×D3)⋊C4—41no—
784(C2×D3)⋊C4—41no—
785(C2×D3)⋊C4—41no—
786(C2×D3)⋊C4—41no—
787(C2×D3)⋊C4—41no—
788(C2×D3)⋊C4—41no—
789(C2×D3)⋊C4—41no—
790(C2×D3)⋊C4—41no—
791(C2×D3)⋊C4—41no—
792(C2×D3)⋊C4—41no—
793C4⋊Dic3—22no—
794C4⋊Dic3—22no—
795C4⋊Dic3—22no—
796C4⋊Dic3—22no—
797C4⋊Dic3—22no—
798C4⋊Dic3—22no—
799C4⋊Dic3—22no—
800C4⋊Dic3—41no—
801C4⋊Dic3—41no—
802C4⋊Dic3—41no—
803C4⋊Dic3—41no—
804C4⋊Dic3—41no—
805C4⋊Dic3—41no—
806C4⋊Dic3—41no—
807C4⋊Dic3—41no—
808C4⋊Dic3—41no—
809C4⋊Dic3—41no—
810C4⋊Dic3—41no—
811C4⋊Dic3—41no—
812Dic3⋊C4—22no—
813Dic3⋊C4—22no—
814Dic3⋊C4—22no—
815Dic3⋊C4—22no—
816Dic3⋊C4—22no—
817C4×Dic3—22no—
818C4×Dic3—22no—
819C4×Dic3—22no—
820C25—31no—
821C25—31no—
822C25C22×D311yescharacteristic
823C22×Q8—31no—
824C22×D4—31no—
825C22×D4—31no—
826C22×D4—31no—
827C22×D4—31no—
828C22×D4—31no—
829C22×D4—31no—
830C22×D4—31no—
831C22×D4—31no—
832C22×D4—31no—
833C22×D4—31no—
834C22×D4—31no—
835C22×D4—31no—
836C22×D4—31no—
837C22×D4—31no—
838C22×D4—31no—
839C22×D4—31no—
840C22×D4—31no—
841C22×D4—31no—
842C22×D4—31no—
843C22×D4—64no—
844C22×D4—64no—
845C22×D4—122no—
846C22×D4—122no—
847C22×D4—122no—
848C22×D4—122no—
849C23×C4—31no—
850C23×C4—31no—
851C23×C4—31no—
852C23×C4—31no—
853C23×C4—31no—
854C23×C4C22×D311yescharacteristic
855C23×C4C22×D311yescharacteristic
856C23×C4C22×D311yescharacteristic
857C23×C4C22×D311yescharacteristic
858#126—64no—
859#126—64no—
860#124—64no—
861#124—122no—
862#123—64no—
863#123—64no—
864#123—64no—
865#123—64no—
866#123—64no—
867#123—64no—
868#123—64no—
869#123—122no—
870#123—122no—
871#123—122no—
872C22⋊Q8—64no—
873C22⋊Q8—64no—
874#121—64no—
875#121—64no—
876#121—64no—
877#121—64no—
878#121—122no—
879#121—122no—
880#121—122no—
881#120—64no—
882#120—64no—
883#120—64no—
884#120—64no—
885#120—64no—
886#120—122no—
887#120—122no—
888C4×D4—64no—
889C4×D4—64no—
890#117—42no—
891#117—64no—
892#117—64no—
893C2×C4⋊C4—31no—
894C2×C4⋊C4—31no—
895C2×C4⋊C4—31no—
896C2×C4⋊C4—31no—
897C2×C4⋊C4—31no—
898C2×C4⋊C4—31no—
899C2×C4⋊C4—31no—
900C2×C4⋊C4—31no—
901C2×C4⋊C4—31no—
902C2×C4⋊C4—31no—
903C2×C4⋊C4—31no—
904C2×C4⋊C4—31no—
905C2×C4⋊C4—31no—
906C2×C4⋊C4—31no—
907C2×C4⋊C4—31no—
908C2×C4⋊C4—31no—
909C2×C4⋊C4—31no—
910C2×C4⋊C4—31no—
911C2×C4⋊C4—31no—
912C2×C4⋊C4—31no—
913C2×C4⋊C4—31no—
914C2×C4⋊C4—31no—
915C2×C4⋊C4—31no—
916C2×C4⋊C4—31no—
917C2×C4⋊C4—122no—
918C2×C4⋊C4C22×D311yescharacteristic
919C2×C4⋊C4C22×D311yescharacteristic
920C2×C4⋊C4C22×D311yescharacteristic
921C2×C4⋊C4C22×D311yescharacteristic
922C2×C22⋊C4—31no—
923C2×C22⋊C4—31no—
924C2×C22⋊C4—31no—
925C2×C22⋊C4—31no—
926C2×C22⋊C4—31no—
927C2×C22⋊C4—31no—
928C2×C22⋊C4—31no—
929C2×C22⋊C4—31no—
930C2×C22⋊C4—31no—
931C2×C22⋊C4—31no—
932C2×C22⋊C4—31no—
933C2×C22⋊C4—31no—
934C2×C22⋊C4—31no—
935C2×C22⋊C4—31no—
936C2×C22⋊C4—31no—
937C2×C22⋊C4—31no—
938C2×C22⋊C4—31no—
939C2×C22⋊C4—31no—
940C2×C22⋊C4—31no—
941C2×C22⋊C4—31no—
942C2×C22⋊C4—31no—
943C2×C22⋊C4—31no—
944C2×C22⋊C4—31no—
945C2×C22⋊C4—31no—
946C2×C22⋊C4—31no—
947C2×C22⋊C4—31no—
948C2×C22⋊C4—31no—
949C2×C22⋊C4—31no—
950C2×C22⋊C4—31no—
951C2×C22⋊C4—31no—
952C2×C22⋊C4—31no—
953C2×C22⋊C4—31no—
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—42no—
973C2×C22⋊C4—64no—
974C2×C22⋊C4—122no—
975C2×C22⋊C4—122no—
976C2×C22⋊C4D1218yescomplemented
977C2×C22⋊C4C22×D311yescharacteristic
978C2×C22⋊C4C22×D311yescharacteristic
979C2×C22⋊C4C22×D311yescharacteristic
980C2×C22⋊C4C22×D311yescharacteristic
981C2×C22⋊C4C22×D311yescharacteristic
982C2×C22⋊C4C22×D311yescharacteristic
983C2×C22⋊C4C22×D311yescharacteristic
984C2×C22⋊C4C22×D311yescharacteristic
985C2×C22⋊C4C22×D311yescharacteristic
986C2×C22⋊C4C22×D311yescharacteristic
987C2×C22⋊C4C22×D311yescharacteristic
988C2×C22⋊C4C22×D311yescharacteristic
989C2×C22⋊C4C22×D311yescharacteristic
990C2×C22⋊C4C22×D311yescharacteristic
991C2×C42—31no—
992C2×C42—31no—
993C2×C42—31no—
994C2×C42C22×D311yescharacteristic
995C2×C42C22×D311yescharacteristic
996C2×C42C22×D311yescharacteristic
997C2×C42C22×D311yescharacteristic
998#95—31no—
999#95—31no—
1000#95—31no—
1001#95—31no—
1002#95—31no—
1003#95—31no—
1004#95—31no—
1005#95—31no—
1006#95—31no—
1007#95—31no—
1008#95—31no—
1009#95—31no—
1010#95—31no—
1011#95—31no—
1012#95—31no—
1013#95—31no—
1014#95C22×D311yescharacteristic
1015#95C22×D311yescharacteristic
1016#95C22×D311yescharacteristic
1017#95C22×D311yescharacteristic
1018#95C22×D311yescharacteristic
1019#95C22×D311yescharacteristic
1020#95C22×D311yescharacteristic
1021#95C22×D311yescharacteristic
1022C23×C3—21no—
1023C23×C3—21no—
1024C23×C3—21no—
1025C23×C3—21no—
1026C23×C3—21no—
1027C23×C3—21no—
1028C23×C3—21no—
1029C23×C3—21no—
1030C23×C3—21no—
1031C23×C3—21no—
1032C23×C3—21no—
1033C23×C3—21no—
1034C23×C3—21no—
1035C23×C3—21no—
1036C23×C3—21no—
1037C23×C3—21no—
1038C23×C3—28no—
1039C23×C3—44no—
1040C23×C3—44no—
1041C23×C3—82no—
1042C23×C3—82no—
1043C23×C3—82no—
1044C23×C3—82no—
1045C23×C3C22×D412yes—
1046C23×C3C22×D412yes—
1047C23×C3C22×D412yes—
1048C23×C3H(5,𝔽2)12yes—
1049C23×C3H(5,𝔽2)12yes—
1050C23×C3C2511yescharacteristic
1051C22×D3—21no—
1052C22×D3—21no—
1053C22×D3—21no—
1054C22×D3—21no—
1055C22×D3—21no—
1056C22×D3—21no—
1057C22×D3—21no—
1058C22×D3—21no—
1059C22×D3—21no—
1060C22×D3—21no—
1061C22×D3—21no—
1062C22×D3—21no—
1063C22×D3—21no—
1064C22×D3—21no—
1065C22×D3—21no—
1066C22×D3—21no—
1067C22×D3—21no—
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—44no—
1087C22×D3—44no—
1088C22×D3—44no—
1089C22×D3—44no—
1090C22×D3—82no—
1091C22×D3—82no—
1092C22×D3—82no—
1093C22×D3—82no—
1094C22×D3—82no—
1095C22×D3—82no—
1096C22×D3—82no—
1097C22×D3—82no—
1098C22×D3—82no—
1099C22×D3—82no—
1100C2×C3×C4—21no—
1101C2×C3×C4—21no—
1102C2×C3×C4—21no—
1103C2×C3×C4—21no—
1104C2×C3×C4—21no—
1105C2×C3×C4—21no—
1106C2×C3×C4—21no—
1107C2×C3×C4—21no—
1108C2×C3×C4—21no—
1109C2×C3×C4—21no—
1110C2×C3×C4—21no—
1111C2×C3×C4—21no—
1112C2×C3×C4—21no—
1113C2×C3×C4—21no—
1114C2×C3×C4—21no—
1115C2×C3×C4—21no—
1116C2×C3×C4—21no—
1117C2×C3×C4—21no—
1118C2×C3×C4—21no—
1119C2×C3×C4—21no—
1120C2×C3×C4—21no—
1121C2×C3×C4—21no—
1122C2×C3×C4—21no—
1123C2×C3×C4—21no—
1124C2×C3×C4—21no—
1125C2×C3×C4—21no—
1126C2×C3×C4—21no—
1127C2×C3×C4—21no—
1128C2×C3×C4—21no—
1129C2×C3×C4—21no—
1130C2×C3×C4—21no—
1131C2×C3×C4—44no—
1132C2×C3×C4—44no—
1133C2×C3×C4—44no—
1134C2×C3×C4—82no—
1135C2×C3×C4C22×D412yes—
1136C2×C3×C4C22×D412yes—
1137C2×C3×C4C22×D412yes—
1138C2×C3×C4C22×D412yes—
1139C2×C3×C4H(5,𝔽2)12yes—
1140#67—44no—
1141#67—44no—
1142#67—44no—
1143#67—44no—
1144#67—44no—
1145#67—44no—
1146#67—44no—
1147#67—44no—
1148#67—44no—
1149#67—44no—
1150#67—82no—
1151C2×Dic3—21no—
1152C2×Dic3—21no—
1153C2×Dic3—21no—
1154C2×Dic3—21no—
1155C2×Dic3—21no—
1156C2×Dic3—21no—
1157C2×Dic3—21no—
1158C2×Dic3—21no—
1159C2×Dic3—21no—
1160C2×Dic3—21no—
1161C2×Dic3—21no—
1162C2×Dic3—21no—
1163C2×Dic3—21no—
1164C2×Dic3—21no—
1165C2×Dic3—21no—
1166C2×Dic3—21no—
1167C2×Dic3—21no—
1168C2×Dic3—21no—
1169C2×Dic3—21no—
1170C2×Dic3—21no—
1171C2×Dic3—21no—
1172C2×Dic3—21no—
1173C2×Dic3—21no—
1174C2×Dic3—21no—
1175C2×Dic3—21no—
1176C2×Dic3—21no—
1177C2×Dic3—21no—
1178C2×Dic3—21no—
1179C2×Dic3—21no—
1180C2×Dic3—21no—
1181C2×Dic3—21no—
1182C2×Dic3—21no—
1183C2×Dic3—21no—
1184C2×Dic3—44no—
1185C2×Dic3—44no—
1186C2×Dic3—44no—
1187C2×Dic3—82no—
1188D12—82no—
1189D12—82no—
1190D12—82no—
1191D12—82no—
1192D12—82no—
1193D12—82no—
1194D12—82no—
1195D12—82no—
1196C4×D3—82no—
1197Dic6—82no—
1198C24—22no—
1199C24—22no—
1200C24—31no—
1201C24—31no—
1202C24—31no—
1203C24—31no—
1204C24—31no—
1205C24—41no—
1206C24—41no—
1207C24—41no—
1208C24—41no—
1209C24—62no—
1210C24—62no—
1211C24—62no—
1212C24—62no—
1213C24—121no—
1214C24—121no—
1215C24—121no—
1216C24—121no—
1217C24—121no—
1218C24—121no—
1219C24—121no—
1220C24—121no—
1221C24—121no—
1222C24—121no—
1223C24C2×D1214yes—
1224C24C23×D311yescharacteristic
1225C24C23×D311yescharacteristic
1226C24C23×D311yescharacteristic
1227C2×Q8—62no—
1228C2×Q8—121no—
1229C2×Q8—121no—
1230C2×D4—62no—
1231C2×D4—62no—
1232C2×D4—62no—
1233C2×D4—62no—
1234C2×D4—62no—
1235C2×D4—62no—
1236C2×D4—62no—
1237C2×D4—62no—
1238C2×D4—62no—
1239C2×D4—62no—
1240C2×D4—62no—
1241C2×D4—62no—
1242C2×D4—62no—
1243C2×D4—62no—
1244C2×D4—62no—
1245C2×D4—62no—
1246C2×D4—62no—
1247C2×D4—62no—
1248C2×D4—62no—
1249C2×D4—62no—
1250C2×D4—62no—
1251C2×D4—62no—
1252C2×D4—121no—
1253C2×D4—121no—
1254C2×D4—121no—
1255C2×D4—121no—
1256C2×D4—121no—
1257C2×D4—121no—
1258C2×D4—121no—
1259C2×D4—121no—
1260C2×D4—121no—
1261C2×D4—121no—
1262C2×D4—121no—
1263C2×D4—121no—
1264C2×D4—121no—
1265C2×D4—121no—
1266C2×D4—121no—
1267C2×D4—121no—
1268C2×D4—121no—
1269C2×D4—121no—
1270C2×D4—121no—
1271C2×D4—121no—
1272C2×D4—121no—
1273C2×D4—121no—
1274C2×D4—121no—
1275C2×D4—121no—
1276C2×D4—121no—
1277C2×D4—121no—
1278C2×D4—121no—
1279C2×D4—121no—
1280C2×D4—121no—
1281C2×D4—121no—
1282C2×D4—121no—
1283C2×D4—121no—
1284C2×D4—121no—
1285C2×D4—121no—
1286C2×D4—121no—
1287C2×D4—1216no—
1288C2×D4—1216no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—31no—
1293C22×C4—31no—
1294C22×C4—31no—
1295C22×C4—31no—
1296C22×C4—31no—
1297C22×C4—31no—
1298C22×C4—31no—
1299C22×C4—31no—
1300C22×C4—31no—
1301C22×C4—31no—
1302C22×C4—31no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—62no—
1311C22×C4—62no—
1312C22×C4—62no—
1313C22×C4—62no—
1314C22×C4—62no—
1315C22×C4—62no—
1316C22×C4—62no—
1317C22×C4—62no—
1318C22×C4—62no—
1319C22×C4—121no—
1320C22×C4—121no—
1321C22×C4—121no—
1322C22×C4—121no—
1323C22×C4—121no—
1324C22×C4—121no—
1325C22×C4C2×D1214yes—
1326C22×C4C2×D1214yes—
1327C22×C4C23×D311yescharacteristic
1328C22×C4C23×D311yescharacteristic
1329C22×C4C23×D311yescharacteristic
1330C22×C4C23×D311yescharacteristic
1331C22×C4C23×D311yescharacteristic
1332C22×C4C23×D311yescharacteristic
1333C22×C4C23×D311yescharacteristic
1334C22×C4C23×D311yescharacteristic
1335C22×C4C23×D311yescharacteristic
1336C22×C4C23×D311yescharacteristic
1337C22×C4C23×D311yescharacteristic
1338C22×C4C23×D311yescharacteristic
1339C4⋊C4—22no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—62no—
1344C4⋊C4—62no—
1345C4⋊C4—62no—
1346C4⋊C4—62no—
1347C4⋊C4—62no—
1348C4⋊C4—62no—
1349C4⋊C4—62no—
1350C4⋊C4—62no—
1351C4⋊C4—62no—
1352C4⋊C4—62no—
1353C4⋊C4—62no—
1354C4⋊C4—62no—
1355C4⋊C4—121no—
1356C4⋊C4—121no—
1357C4⋊C4—121no—
1358C4⋊C4—121no—
1359C4⋊C4—121no—
1360C4⋊C4—121no—
1361C4⋊C4—121no—
1362C4⋊C4—121no—
1363C4⋊C4—121no—
1364C4⋊C4—121no—
1365C4⋊C4—121no—
1366C4⋊C4—121no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—62no—
1378C22⋊C4—62no—
1379C22⋊C4—62no—
1380C22⋊C4—62no—
1381C22⋊C4—62no—
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—62no—
1391C22⋊C4—62no—
1392C22⋊C4—62no—
1393C22⋊C4—62no—
1394C22⋊C4—62no—
1395C22⋊C4—62no—
1396C22⋊C4—62no—
1397C22⋊C4—62no—
1398C22⋊C4—121no—
1399C22⋊C4—121no—
1400C22⋊C4—121no—
1401C22⋊C4—121no—
1402C22⋊C4—121no—
1403C22⋊C4—121no—
1404C22⋊C4—121no—
1405C22⋊C4—121no—
1406C22⋊C4—121no—
1407C22⋊C4—121no—
1408C22⋊C4—121no—
1409C22⋊C4—121no—
1410C22⋊C4—121no—
1411C22⋊C4—121no—
1412C22⋊C4—121no—
1413C22⋊C4—121no—
1414C22⋊C4—121no—
1415C22⋊C4—121no—
1416C22⋊C4—121no—
1417C22⋊C4—121no—
1418C22⋊C4—121no—
1419C22⋊C4—121no—
1420C22⋊C4—121no—
1421C22⋊C4—121no—
1422C22⋊C4—121no—
1423C22⋊C4—121no—
1424C22⋊C4—121no—
1425C22⋊C4—121no—
1426C22⋊C4—121no—
1427C22⋊C4C2×D1214yes—
1428C22⋊C4C2×D1214yes—
1429C22⋊C4C2×D1214yes—
1430C22⋊C4C2×D1214yes—
1431C42—22no—
1432C42—41no—
1433C42—41no—
1434C42—41no—
1435C42—62no—
1436C42—62no—
1437C42—62no—
1438C22×C3—22no—
1439C22×C3—22no—
1440C22×C3—22no—
1441C22×C3—22no—
1442C22×C3—22no—
1443C22×C3—22no—
1444C22×C3—22no—
1445C22×C3—22no—
1446C22×C3—22no—
1447C22×C3—22no—
1448C22×C3—22no—
1449C22×C3—22no—
1450C22×C3—41no—
1451C22×C3—41no—
1452C22×C3—41no—
1453C22×C3—41no—
1454C22×C3—41no—
1455C22×C3—41no—
1456C22×C3—41no—
1457C22×C3—41no—
1458C22×C3—88no—
1459C22×C3#53514yes—
1460C22×C3C23×D411yescharacteristic
1461C22×C3C2×H(5,𝔽2)11yescharacteristic
1462C22×C3C2×H(5,𝔽2)11yescharacteristic
1463C22×C3C2×H(5,𝔽2)11yescharacteristic
1464C22×C3#58511yescharacteristic
1465C22×C3#58511yescharacteristic
1466C22×C3#58511yescharacteristic
1467C2×D3—41no—
1468C2×D3—41no—
1469C2×D3—41no—
1470C2×D3—41no—
1471C2×D3—41no—
1472C2×D3—41no—
1473C2×D3—41no—
1474C2×D3—41no—
1475C2×D3—41no—
1476C2×D3—41no—
1477C2×D3—41no—
1478C2×D3—41no—
1479C2×D3—41no—
1480C2×D3—41no—
1481C2×D3—41no—
1482C2×D3—41no—
1483C2×D3—41no—
1484C2×D3—41no—
1485C2×D3—41no—
1486C2×D3—41no—
1487C2×D3—41no—
1488C2×D3—41no—
1489C2×D3—41no—
1490C2×D3—41no—
1491C2×D3—41no—
1492C2×D3—41no—
1493C2×D3—41no—
1494C2×D3—41no—
1495C2×D3—41no—
1496C2×D3—41no—
1497C2×D3—41no—
1498C2×D3—41no—
1499C2×D3—41no—
1500C2×D3—41no—
1501C2×D3—41no—
1502C2×D3—88no—
1503C2×D3—88no—
1504C3×C4—22no—
1505C3×C4—22no—
1506C3×C4—22no—
1507C3×C4—22no—
1508C3×C4—22no—
1509C3×C4—41no—
1510C3×C4—41no—
1511C3×C4—41no—
1512C3×C4—41no—
1513C3×C4—41no—
1514C3×C4—41no—
1515C3×C4—41no—
1516Dic3—41no—
1517Dic3—41no—
1518Dic3—41no—
1519Dic3—41no—
1520Dic3—41no—
1521Dic3—41no—
1522Dic3—41no—
1523Dic3—41no—
1524Dic3—41no—
1525Dic3—41no—
1526Dic3—41no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—28no—
1544C23—44no—
1545C23—44no—
1546C23—61no—
1547C23—61no—
1548C23—61no—
1549C23—61no—
1550C23—61no—
1551C23—61no—
1552C23—61no—
1553C23—61no—
1554C23—61no—
1555C23—61no—
1556C23—61no—
1557C23—61no—
1558C23—61no—
1559C23—61no—
1560C23—61no—
1561C23—61no—
1562C23—61no—
1563C23—61no—
1564C23—61no—
1565C23—61no—
1566C23—61no—
1567C23—61no—
1568C23—61no—
1569C23—61no—
1570C23—61no—
1571C23—61no—
1572C23—61no—
1573C23—61no—
1574C23—61no—
1575C23—61no—
1576C23—61no—
1577C23—61no—
1578C23—61no—
1579C23—61no—
1580C23—61no—
1581C23—82no—
1582C23—82no—
1583C23—82no—
1584C23—82no—
1585C23—124no—
1586C23—124no—
1587C23—124no—
1588C23—124no—
1589C23—242no—
1590C23—242no—
1591C23—242no—
1592C23—242no—
1593C23—242no—
1594C23—242no—
1595C23—242no—
1596C23—242no—
1597C23—242no—
1598C23—242no—
1599C23C22×D1212yes—
1600C23C22×D1212yes—
1601C23C22×D1212yes—
1602C23#100912yes—
1603C23#100912yes—
1604C23C24×D311yescharacteristic
1605Q8—242no—
1606D4—124no—
1607D4—124no—
1608D4—124no—
1609D4—124no—
1610D4—124no—
1611D4—124no—
1612D4—124no—
1613D4—124no—
1614D4—124no—
1615D4—124no—
1616D4—242no—
1617D4—242no—
1618D4—242no—
1619D4—242no—
1620D4—242no—
1621D4—242no—
1622D4—242no—
1623D4—242no—
1624D4—242no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—61no—
1660C2×C4—61no—
1661C2×C4—61no—
1662C2×C4—61no—
1663C2×C4—61no—
1664C2×C4—61no—
1665C2×C4—61no—
1666C2×C4—61no—
1667C2×C4—61no—
1668C2×C4—61no—
1669C2×C4—61no—
1670C2×C4—61no—
1671C2×C4—61no—
1672C2×C4—61no—
1673C2×C4—61no—
1674C2×C4—61no—
1675C2×C4—61no—
1676C2×C4—61no—
1677C2×C4—61no—
1678C2×C4—61no—
1679C2×C4—61no—
1680C2×C4—61no—
1681C2×C4—61no—
1682C2×C4—61no—
1683C2×C4—61no—
1684C2×C4—61no—
1685C2×C4—61no—
1686C2×C4—61no—
1687C2×C4—61no—
1688C2×C4—61no—
1689C2×C4—61no—
1690C2×C4—61no—
1691C2×C4—61no—
1692C2×C4—82no—
1693C2×C4—124no—
1694C2×C4—124no—
1695C2×C4—124no—
1696C2×C4—242no—
1697C2×C4—242no—
1698C2×C4C22×D1212yes—
1699C2×C4C22×D1212yes—
1700C2×C4C22×D1212yes—
1701C2×C4C22×D1212yes—
1702C2×C4#100412yes—
1703C2×C3—24no—
1704C2×C3—42no—
1705C2×C3—42no—
1706C2×C3C2×#53511yescharacteristic
1707C2×C3#348511yescharacteristic
1708C2×C3#349611yescharacteristic
1709C2×C3#353311yescharacteristic
1710C2×C3#353411yescharacteristic
1711C2×C3#354211yescharacteristic
1712C2×C3#354511yescharacteristic
1713D3—81no—
1714D3—81no—
1715D3—81no—
1716D3—81no—
1717D3—81no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—88no—
1739C22—121no—
1740C22—121no—
1741C22—121no—
1742C22—121no—
1743C22—121no—
1744C22—121no—
1745C22—121no—
1746C22—121no—
1747C22—121no—
1748C22—121no—
1749C22—121no—
1750C22—121no—
1751C22—121no—
1752C22—121no—
1753C22—121no—
1754C22—121no—
1755C22—121no—
1756C22—121no—
1757C22—121no—
1758C22—121no—
1759C22—121no—
1760C22—121no—
1761C22—121no—
1762C22—121no—
1763C22—121no—
1764C22—121no—
1765C22—121no—
1766C22—121no—
1767C22—121no—
1768C22—121no—
1769C22—121no—
1770C22—121no—
1771C22—121no—
1772C22—121no—
1773C22—121no—
1774C22—248no—
1775C22—248no—
1776C22#552514yes—
1777C22C23×D1211yescharacteristic
1778C22C2×#100411yescharacteristic
1779C22C2×#100911yescharacteristic
1780C22C2×#100911yescharacteristic
1781C22#596411yescharacteristic
1782C22#596611yescharacteristic
1783C22#596611yescharacteristic
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—121no—
1797C4—121no—
1798C4—121no—
1799C4—121no—
1800C4—121no—
1801C4—121no—
1802C4—121no—
1803C4—121no—
1804C4—121no—
1805C4—121no—
1806C4—121no—
1807C3#4050911yescharacteristic, complemented, Sylow
1808C2—24no—
1809C2—42no—
1810C2—42no—
1811C2—241no—
1812C2—241no—
1813C2—241no—
1814C2—241no—
1815C2—241no—
1816C2C2×#552511yescharacteristic
1817C2#8578611yescharacteristic
1818C2#8585811yescharacteristic
1819C2#8664411yescharacteristic
1820C2#8664811yescharacteristic
1821C2#8680611yescharacteristic
1822C2#8681911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2342C2
hypercenter#2342D3
hypocenterC3#40509
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2342

Complements

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

NH ≅ G/Ntype
1. C2×#5493C2semidirect
2. C2×#5495C2semidirect
3. C3×#2342C2semidirect
4. #82287C2semidirect
5. #82276C2semidirect
6. #82127C2semidirect
7. C2×#4961C2semidirect
8. #75918C2semidirect
9. #75918C2semidirect
10. #75916C2semidirect
11. #75913C2semidirect
12. #75696C2semidirect
13. #75696C2semidirect
14. #75690C2semidirect
15. #75687C2semidirect
16. #74605C2semidirect
17. #74602C2semidirect
18. #74410C2semidirect
19. #74407C2semidirect
20. #74145C2semidirect
21. #74137C2semidirect
22. #74046C2semidirect
23. #74033C2semidirect
24. #73855C2semidirect
25. #73823C2semidirect
26. #73611C2semidirect
27. #73597C2semidirect
28. #73594C2semidirect
29. #73516C2semidirect
30. #73515C2semidirect
31. #73504C2semidirect
35. C2×C3×#117C22semidirect
46. C2×#929C22semidirect
47. C2×C4×#67C22semidirect
48. C22×(C2×D3)⋊C4C22semidirect
49. C22×(C2×D3)⋊C4C22semidirect
50. C2×#926C22semidirect
51. C22×C4⋊Dic3C22semidirect
52. C2×#924C22semidirect
53. C2×#895C22semidirect
62. C2×#886C22semidirect
63. C2×#886C22semidirect
64. C2×#885C22semidirect
65. C2×#883C22semidirect
70. C2×#882C22semidirect
71. C2×#882C22semidirect
72. C2×#67⋊C4C22semidirect
73. C2×#879C22semidirect
74. C2×#879C22semidirect
75. C2×#878C22semidirect
76. C2×#877C22semidirect
77. C2×#875C22semidirect
78. C3×#388C22semidirect
79. C3×#388C22semidirect
80. C3×#388C22semidirect
81. C3×#388C22semidirect
82. C3×#385C22semidirect
83. C3×#385C22semidirect
84. C3×#381C22semidirect
85. C3×#380C22semidirect
87. C3×C4×C22⋊C4C22semidirect
88. C3×C4×C22⋊C4C22semidirect
89. C3×C4×C22⋊C4C22semidirect
92. C2×C3⋊#95C22semidirect
93. #4994C22semidirect
94. #4994C22semidirect
95. #4994C22semidirect
96. #4994C22semidirect
97. #4994C22semidirect
98. #4994C22semidirect
99. #4991C22semidirect
100. #4991C22semidirect
101. #4988C22semidirect
102. #4988C22semidirect
103. #4988C22semidirect
104. #4987C22semidirect
105. #4984C22semidirect
106. #4984C22semidirect
107. #4984C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
134. #4958C22semidirect
135. #4955C22semidirect
136. #4955C22semidirect
137. #4955C22semidirect
138. #4955C22semidirect
139. #4950C22semidirect
140. #4950C22semidirect
141. #4950C22semidirect
142. #4943C22semidirect
143. #4940C22semidirect
144. #4940C22semidirect
145. #4940C22semidirect
146. #4940C22semidirect
147. #4939C22semidirect
148. #4939C22semidirect
149. #4939C22semidirect
150. #4939C22semidirect
151. #4939C22semidirect
152. #4939C22semidirect
153. #4939C22semidirect
154. #4936C22semidirect
155. #4935C22semidirect
156. #4935C22semidirect
157. #4929C22semidirect
158. #4677C22semidirect
159. #4677C22semidirect
160. #4677C22semidirect
161. #4677C22semidirect
162. #4677C22semidirect
163. #4677C22semidirect
164. #4674C22semidirect
165. #4674C22semidirect
166. #4674C22semidirect
167. #4673C22semidirect
168. #4673C22semidirect
169. #4672C22semidirect
170. #4672C22semidirect
171. #4672C22semidirect
172. #4672C22semidirect
173. #4672C22semidirect
174. #4671C22semidirect
175. #4671C22semidirect
176. #4671C22semidirect
177. #4670C22semidirect
178. #4670C22semidirect
179. #4670C22semidirect
180. #4670C22semidirect
181. #4670C22semidirect
182. #4670C22semidirect
183. #4665C22semidirect
184. #4665C22semidirect
185. #4661C22semidirect
186. #4661C22semidirect
187. #4661C22semidirect
188. #4659C22semidirect
189. #4659C22semidirect
220. #2342D3semidirect
265. C2×C3×C22⋊C4D4semidirect
461. C2×#117C2×D3semidirect
548. #388C2×D3semidirect
549. #388C2×D3semidirect
550. #388C2×D3semidirect
551. #388C2×D3semidirect
562. #385C2×D3semidirect
563. #385C2×D3semidirect
568. #381C2×D3semidirect
570. #380C2×D3semidirect
576. C4×C22⋊C4C2×D3semidirect
577. C4×C22⋊C4C2×D3semidirect
578. C4×C22⋊C4C2×D3semidirect
976. C2×C22⋊C4D12semidirect
1807. C3#40509semidirect

Maximal subgroups

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

subgroupindex
C2×#54932
C2×#54952
C3×#23422
#822872
#822762
#821272
C2×#49612
#759182
#759162
#759132
#756962
#756902
#756872
#746052
#746022
#744102
#744072
#741452
#741372
#740462
#740332
#738552
#738232
#736112
#735972
#735942
#735162
#735152
#735042
#405093