Finite Group Databasebeta

← #11034574

Subgroups — #11034574

Order 768.

3246 conjugacy classes of subgroups.

The subgroup lattice has 1958 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×#67C211yesmaximal, characteristic, complemented
2C2×#5806C211yesmaximal, characteristic, complemented
3C2×C3×#386C211yesmaximal, characteristic, complemented
4#84032C211yesmaximal, characteristic, complemented
5C2×#5213C211yesmaximal, characteristic, complemented
6#82130C211yesmaximal, characteristic, complemented
7#82127C211yesmaximal, characteristic, complemented
8#82127C211yesmaximal, characteristic, complemented
9#82121C211yesmaximal, characteristic, complemented
10#82108C211yesmaximal, characteristic, complemented
11#82108C211yesmaximal, characteristic, complemented
12#74918C211yesmaximal, characteristic, complemented
13#74910C211yesmaximal, characteristic, complemented
14#74891C211yesmaximal, characteristic, complemented
15#74888C211yesmaximal, characteristic, complemented
16#74885C211yesmaximal, characteristic, complemented
17#74820C211yesmaximal, characteristic, complemented
18#74819C211yesmaximal, characteristic, complemented
19#74799C211yesmaximal, characteristic, complemented
20#74799C211yesmaximal, characteristic, complemented
21#74796C211yesmaximal, characteristic, complemented
22#74792C211yesmaximal, characteristic, complemented
23#74706C211yesmaximal, characteristic, complemented
24#74706C211yesmaximal, characteristic, complemented
25#74699C211yesmaximal, characteristic, complemented
26#74694C211yesmaximal, characteristic, complemented
27#74686C211yesmaximal, characteristic, complemented
28#73379C211yesmaximal, characteristic, complemented
29#73378C211yesmaximal, characteristic, complemented
30#73358C211yesmaximal, characteristic, complemented
31#73333C211yesmaximal, characteristic, complemented
32#38076—31nomaximal, Sylow
33C23×C3×D4C2211yescharacteristic
34C24×C3×C4C2211yescharacteristic, complemented
35C23×#67C2211yescharacteristic
36C23×#67C2211yescharacteristic
37C22×#237C2211yescharacteristic, complemented
38C22×D3×D4C2211yescharacteristic
39C22×C3×C22⋊C4C2211yescharacteristic, complemented
40C22×C3×C22⋊C4C2211yescharacteristic, complemented
41C22×C3×C22⋊C4C2211yescharacteristic, complemented
42C2×#953C2211yescharacteristic
43C2×#953C2211yescharacteristic
44C2×#953C2211yescharacteristic, complemented
45C2×#953C2211yescharacteristic, complemented
46C22×#217C2211yescharacteristic, complemented
47C22×#217C2211yescharacteristic, complemented
48#5806—28no—
49C2×#940C2211yescharacteristic
50C2×#939C2211yescharacteristic
51C2×#939C2211yescharacteristic
52C2×#939C2211yescharacteristic
53C2×#939C2211yescharacteristic, complemented
54D4×#67—28no—
55C2×#938C2211yescharacteristic
56C2×#938C2211yescharacteristic, complemented
57C2×#937C2211yescharacteristic
58C2×#937C2211yescharacteristic
59C2×#936C2211yescharacteristic, complemented
60C2×#935C2211yescharacteristic
61C2×#935C2211yescharacteristic, complemented
62C2×D4×Dic3C2211yescharacteristic
63C2×D4×Dic3C2211yescharacteristic, complemented
64C2×#930C2211yescharacteristic
65C2×#930C2211yescharacteristic
66C2×#930C2211yescharacteristic, complemented
67C2×#930C2211yescharacteristic, complemented
68C2×#930C2211yescharacteristic, complemented
69C2×#930C2211yescharacteristic, complemented
70C2×C4×#67C2211yescharacteristic
71C2×C4×#67C2211yescharacteristic, complemented
72C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
73C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
74C2×#924C2211yescharacteristic, complemented
75C2×#886C2211yescharacteristic, complemented
76C2×#886C2211yescharacteristic, complemented
77C2×#882C2211yescharacteristic, complemented
78C2×#882C2211yescharacteristic, complemented
79C3×#386C2211yescharacteristic
80C3×#386C2211yescharacteristic
81C3×#386C2211yescharacteristic, complemented
82C3×#386C2211yescharacteristic, complemented
83C3×#386C2211yescharacteristic, complemented
84C3×#386C2211yescharacteristic, complemented
85C3×#386C2211yescharacteristic, complemented
86C3×#386C2211yescharacteristic, complemented
87C2×C3×#95C2211yescharacteristic, complemented
88C2×C3×#95C2211yescharacteristic, complemented
89#5213C2211yescharacteristic
90#5213C2211yescharacteristic
91#5213C2211yescharacteristic
92#5213C2211yescharacteristic, complemented
93#5213C2211yescharacteristic, complemented
94#5213C2211yescharacteristic, complemented
95#5213C2211yescharacteristic, complemented
96#5213C2211yescharacteristic, complemented
97#5213C2211yescharacteristic, complemented
98#5213C2211yescharacteristic, complemented
99#5213C2211yescharacteristic, complemented
100#5213C2211yescharacteristic, complemented
101#5213C2211yescharacteristic, complemented
102#5213C2211yescharacteristic, complemented
103#5213C2211yescharacteristic, complemented
104#5213C2211yescharacteristic, complemented
105#5213C2211yescharacteristic, complemented
106#5213C2211yescharacteristic, complemented
107#5212C2211yescharacteristic, complemented
108#5212C2211yescharacteristic, complemented
109#5212C2211yescharacteristic, complemented
110#5212C2211yescharacteristic, complemented
111#5212C2211yescharacteristic, complemented
112C2×C3⋊#95C2211yescharacteristic, complemented
113C2×C3⋊#95C2211yescharacteristic, complemented
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, complemented
127#4960C2211yescharacteristic, complemented
128#4960C2211yescharacteristic, complemented
129#4960C2211yescharacteristic, complemented
130#4960C2211yescharacteristic, complemented
131#4960C2211yescharacteristic, complemented
132#4958C2211yescharacteristic, complemented
133#4958C2211yescharacteristic, complemented
134#4958C2211yescharacteristic, complemented
135#4958C2211yescharacteristic, complemented
136#4958C2211yescharacteristic, complemented
137#4958C2211yescharacteristic, complemented
138#4958C2211yescharacteristic, complemented
139#4958C2211yescharacteristic, complemented
140#4955C2211yescharacteristic, complemented
141#4955C2211yescharacteristic, complemented
142#4955C2211yescharacteristic, complemented
143#4955C2211yescharacteristic, complemented
144#4953C2211yescharacteristic, complemented
145#4953C2211yescharacteristic, complemented
146#4953C2211yescharacteristic, complemented
147#4953C2211yescharacteristic, complemented
148#4953C2211yescharacteristic, complemented
149#4953C2211yescharacteristic, complemented
150#4950C2211yescharacteristic, complemented
151#4950C2211yescharacteristic, complemented
152#4950C2211yescharacteristic, complemented
153#4950C2211yescharacteristic, complemented
154#4943C2211yescharacteristic, complemented
155#4943C2211yescharacteristic, complemented
156#4943C2211yescharacteristic, complemented
157#4943C2211yescharacteristic, complemented
158#4677C2211yescharacteristic, complemented
159#4674C2211yescharacteristic, complemented
160#4674C2211yescharacteristic, complemented
161#4674C2211yescharacteristic, complemented
162#4673C2211yescharacteristic, complemented
163#4673C2211yescharacteristic, complemented
164#4673C2211yescharacteristic, complemented
165#4672C2211yescharacteristic, complemented
166#4672C2211yescharacteristic, complemented
167#4672C2211yescharacteristic, complemented
168#4671C2211yescharacteristic, complemented
169#4670C2211yescharacteristic, complemented
170#4670C2211yescharacteristic, complemented
171#4670C2211yescharacteristic, complemented
172#4670C2211yescharacteristic, complemented
173#4668C2211yescharacteristic, complemented
174#4668C2211yescharacteristic, complemented
175#4668C2211yescharacteristic, complemented
176#4668C2211yescharacteristic, complemented
177#4665C2211yescharacteristic, complemented
178#4665C2211yescharacteristic, complemented
179#4665C2211yescharacteristic, complemented
180#4665C2211yescharacteristic, complemented
181#4661C2211yescharacteristic, complemented
182#4659C2211yescharacteristic, complemented
183#4659C2211yescharacteristic, complemented
184#4659C2211yescharacteristic, complemented
185#4656C2211yescharacteristic, complemented
186#4653C2211yescharacteristic, complemented
187#4653C2211yescharacteristic, complemented
188#4653C2211yescharacteristic, complemented
189#4653C2211yescharacteristic, complemented
190C2×#546—31no—
191C2×D42—31no—
192#2847—31no—
193#2709—31no—
194#2708—31no—
195#2688—31no—
196#2688—31no—
197#2686—31no—
198#2684—31no—
199#2673—31no—
200#2668—31no—
201#2639—31no—
202#2617—31no—
203#2564—31no—
204#2543—31no—
205#2444—31no—
206#2444—31no—
207#2430—31no—
208#2419—31no—
209#2418—31no—
210#2412—31no—
211#2412—31no—
212#2410—31no—
213#2410—31no—
214#2410—31no—
215#2405—31no—
216#2404—31no—
217#2325—31no—
218#2308—31no—
219C2×#386—31no—
220C2×#386D311yescharacteristic, complemented
221C25×C3C2311yescharacteristic
222C25×C3C2311yescharacteristic
223C24×D3C2311yescharacteristic
224C24×D3C2311yescharacteristic
225C22×C3×D4—42no—
226C22×C3×D4—42no—
227C22×C3×D4D418yescomplemented
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C23×C3×C4—42no—
233C23×C3×C4—42no—
234C23×C3×C4—42no—
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C22×#67—24no—
245C22×#67—24no—
246C22×#67—24no—
247C22×#67—24no—
248C22×#67—42no—
249C22×#67—42no—
250C22×#67C2311yescharacteristic
251C22×#67C2311yescharacteristic
252C22×#67C2311yescharacteristic
253C22×#67C2311yescharacteristic
254C22×#67C2311yescharacteristic
255C22×#67C2311yescharacteristic
256C22×#67C2311yescharacteristic
257C22×#67C2311yescharacteristic
258C22×#67C2311yescharacteristic
259C22×#67C2311yescharacteristic
260C22×#67C2311yescharacteristic
261C22×#67C2311yescharacteristic
262C22×#67C2311yescharacteristic
263C22×#67C2311yescharacteristic
264C22×#67C2311yescharacteristic
265C22×#67C2311yescharacteristic
266C23×Dic3C2311yescharacteristic
267C23×Dic3C2311yescharacteristic
268C23×Dic3C2311yescharacteristic
269C23×Dic3C2311yescharacteristic
270C23×Dic3C2311yescharacteristic
271C23×Dic3C2311yescharacteristic
272C2×#237—24no—
273C2×#237—42no—
274C2×#237—42no—
275C2×D3×D4—24no—
276C2×D3×D4—42no—
277C2×D3×D4—42no—
278C22×D12C2311yescharacteristic
279C22×D12C2311yescharacteristic
280C22×D12C2311yescharacteristic
281C22×D12C2311yescharacteristic
282C22×C4×D3C2311yescharacteristic
283C22×C4×D3C2311yescharacteristic
284C22×Dic6C2311yescharacteristic
285C2×C3×C22⋊C4—42no—
286C2×C3×C22⋊C4—42no—
287C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300#953—24no—
301#953—24no—
302#953—24no—
303#953—24no—
304C2×#217—24no—
305C2×#217—24no—
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic
316C2×#217C2311yescharacteristic
317C2×#217C2311yescharacteristic
318C2×#217C2311yescharacteristic
319C2×#217C2311yescharacteristic
320C2×#217C2311yescharacteristic
321C2×#217C2311yescharacteristic
322#940—24no—
323#939—24no—
324#939—24no—
325#939—24no—
326#939—24no—
327#938—24no—
328#938—24no—
329#937—24no—
330#937—24no—
331#936—24no—
332#935—24no—
333#935—24no—
334D4×Dic3—24no—
335D4×Dic3—24no—
336#930—24no—
337#930—24no—
338#930—42no—
339#930—42no—
340#930—42no—
341#930—42no—
342C4×#67—24no—
343C4×#67—24no—
344C2×(C2×D3)⋊C4—42no—
345C2×(C2×D3)⋊C4—42no—
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic
364C2×(C2×D3)⋊C4C2311yescharacteristic
365C2×(C2×D3)⋊C4C2311yescharacteristic
366C2×(C2×D3)⋊C4C2311yescharacteristic
367C2×(C2×D3)⋊C4C2311yescharacteristic
368C2×(C2×D3)⋊C4C2311yescharacteristic
369C2×(C2×D3)⋊C4C2311yescharacteristic
370C2×(C2×D3)⋊C4C2311yescharacteristic
371C2×(C2×D3)⋊C4C2311yescharacteristic
372C2×(C2×D3)⋊C4C2311yescharacteristic
373C2×(C2×D3)⋊C4C2311yescharacteristic
374C2×(C2×D3)⋊C4C2311yescharacteristic
375C2×(C2×D3)⋊C4C2311yescharacteristic
376C2×C4⋊Dic3C2311yescharacteristic
377C2×C4⋊Dic3C2311yescharacteristic
378C2×C4⋊Dic3C2311yescharacteristic
379C2×C4⋊Dic3C2311yescharacteristic
380C2×C4⋊Dic3C2311yescharacteristic
381C2×C4⋊Dic3C2311yescharacteristic
382C2×C4⋊Dic3C2311yescharacteristic
383C2×C4⋊Dic3C2311yescharacteristic
384C2×C4⋊Dic3C2311yescharacteristic
385C2×C4⋊Dic3C2311yescharacteristic
386C2×C4⋊Dic3C2311yescharacteristic
387#924—24no—
388C2×Dic3⋊C4C2311yescharacteristic
389C2×Dic3⋊C4C2311yescharacteristic
390C2×Dic3⋊C4C2311yescharacteristic
391C2×Dic3⋊C4C2311yescharacteristic
392C2×C4×Dic3C2311yescharacteristic
393C2×C4×Dic3C2311yescharacteristic
394#886—42no—
395#886—42no—
396#882—42no—
397#882—42no—
398C3×#95C2311yescharacteristic
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
423C3⋊#95C2311yescharacteristic
424C3⋊#95C2311yescharacteristic
425C3⋊#95C2311yescharacteristic
426C3⋊#95C2311yescharacteristic
427C3⋊#95C2311yescharacteristic
428C3⋊#95C2311yescharacteristic
429C3⋊#95C2311yescharacteristic
430C3⋊#95C2311yescharacteristic
431C3⋊#95C2311yescharacteristic
432C22×#41—31no—
433C23×D4—31no—
434C23×D4—31no—
435C23×D4—31no—
436C23×D4C2×D311yescharacteristic
437C24×C4C2×D311yescharacteristic, complemented
438#546—68no—
439D42—68no—
440C2×#127—31no—
441C2×#124—31no—
442C2×#123—31no—
443C2×#123—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×C22⋊Q8—31no—
447C2×#121—31no—
448C2×#121—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×#121—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×C4×D4—31no—
468C2×C4×D4—31no—
469C2×C4×D4—31no—
470C2×C4×D4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4C2×D311yescharacteristic, complemented
476C22×C22⋊C4C2×D311yescharacteristic, complemented
477C22×C22⋊C4C2×D311yescharacteristic, complemented
478#400—31no—
479#400—31no—
480#400—31no—
481#399—31no—
482#398—31no—
483#397—31no—
484#397—31no—
485#397—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#397—31no—
491#397—31no—
492#395—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#393—31no—
509#393—31no—
510#393—31no—
511#392—31no—
512#392—31no—
513#392—31no—
514#392—31no—
515#392—31no—
516#392—31no—
517#392—31no—
518#388—31no—
519#388—31no—
520#388—31no—
521#388—31no—
522#387—31no—
523#387—31no—
524#387—31no—
525#387—31no—
526#386—31no—
527#386—31no—
528#386—31no—
529#386—31no—
530#386—31no—
531#386—31no—
532#386—31no—
533#386—31no—
534#386—31no—
535#386—31no—
536#386—31no—
537#386—31no—
538#386—31no—
539#386—31no—
540#386—31no—
541#386—31no—
542#386—31no—
543#386—31no—
544#386—31no—
545#386—31no—
546#386—31no—
547#386—31no—
548#386—31no—
549#386—31no—
550#386—31no—
551#386—31no—
552#386—31no—
553#386—31no—
554#386—31no—
555#386—31no—
556#386C2×D311yescharacteristic
557#386C2×D311yescharacteristic
558#386C2×D311yescharacteristic, complemented
559#386C2×D311yescharacteristic, complemented
560#386C2×D311yescharacteristic, complemented
561#386C2×D311yescharacteristic, complemented
562#386C2×D311yescharacteristic, complemented
563#386C2×D311yescharacteristic, complemented
564#385—31no—
565#385—31no—
566#385—31no—
567#385—31no—
568#385—31no—
569#385—31no—
570#385—31no—
571#385—31no—
572#381—31no—
573#381—31no—
574#381—31no—
575#381—31no—
576#380—31no—
577#380—31no—
578#380—31no—
579#380—31no—
580#380—31no—
581#379—31no—
582#379—31no—
583#379—31no—
584#379—31no—
585C2×#95—31no—
586C2×#95—31no—
587C2×#95C2×D311yescharacteristic, complemented
588C2×#95C2×D311yescharacteristic, complemented
589C24×C3—22no—
590C24×C3—22no—
591C24×C3—22no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—41no—
596C24×C3—41no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3—41no—
600C24×C3—41no—
601C24×C3C2×D414yes—
602C24×C3C2×D414yes—
603C24×C3C2411yescharacteristic
604C24×C3C2411yescharacteristic
605C24×C3C2411yescharacteristic
606C24×C3C2411yescharacteristic
607C24×C3C2411yescharacteristic
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—41no—
615C23×D3—41no—
616C23×D3—41no—
617C23×D3—41no—
618C23×D3—41no—
619C23×D3—41no—
620C23×D3—41no—
621C23×D3—41no—
622C23×D3C2411yescharacteristic
623C23×D3C2411yescharacteristic
624C23×D3C2411yescharacteristic
625C23×D3C2411yescharacteristic
626C2×C3×D4—22no—
627C2×C3×D4—22no—
628C2×C3×D4—22no—
629C2×C3×D4—22no—
630C2×C3×D4—41no—
631C2×C3×D4—41no—
632C2×C3×D4—41no—
633C2×C3×D4—41no—
634C2×C3×D4—416no—
635C2×C3×D4C2×D414yes—
636C2×C3×D4C2×D414yes—
637C2×C3×D4C2×D414yes—
638C2×C3×D4C2×D414yes—
639C22×C3×C4—22no—
640C22×C3×C4—22no—
641C22×C3×C4—22no—
642C22×C3×C4—22no—
643C22×C3×C4—22no—
644C22×C3×C4—22no—
645C22×C3×C4—22no—
646C22×C3×C4—22no—
647C22×C3×C4—22no—
648C22×C3×C4—41no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4—41no—
656C22×C3×C4—41no—
657C22×C3×C4—41no—
658C22×C3×C4—41no—
659C22×C3×C4—41no—
660C22×C3×C4—41no—
661C22×C3×C4—41no—
662C22×C3×C4—41no—
663C22×C3×C4—41no—
664C22×C3×C4—41no—
665C22×C3×C4—416no—
666C22×C3×C4C2×D414yes—
667C22×C3×C4C2411yescharacteristic
668C22×C3×C4C2411yescharacteristic
669C22×C3×C4C2411yescharacteristic
670C22×C3×C4C2411yescharacteristic
671C22×C3×C4C2411yescharacteristic
672C22×C3×C4C2411yescharacteristic
673C22×C3×C4C2411yescharacteristic
674C22×C3×C4C2411yescharacteristic
675C22×C3×C4C2411yescharacteristic
676C22×C3×C4C2411yescharacteristic
677C2×#67—22no—
678C2×#67—22no—
679C2×#67—22no—
680C2×#67—22no—
681C2×#67—22no—
682C2×#67—22no—
683C2×#67—22no—
684C2×#67—22no—
685C2×#67—22no—
686C2×#67—22no—
687C2×#67—22no—
688C2×#67—22no—
689C2×#67—22no—
690C2×#67—22no—
691C2×#67—22no—
692C2×#67—22no—
693C2×#67—22no—
694C2×#67—22no—
695C2×#67—22no—
696C2×#67—22no—
697C2×#67—22no—
698C2×#67—22no—
699C2×#67—22no—
700C2×#67—22no—
701C2×#67—22no—
702C2×#67—22no—
703C2×#67—22no—
704C2×#67—22no—
705C2×#67—22no—
706C2×#67—22no—
707C2×#67—22no—
708C2×#67—41no—
709C2×#67—41no—
710C2×#67—41no—
711C2×#67—41no—
712C2×#67—41no—
713C2×#67—41no—
714C2×#67—41no—
715C2×#67—41no—
716C2×#67—41no—
717C2×#67—41no—
718C2×#67—41no—
719C2×#67—41no—
720C2×#67—41no—
721C2×#67—41no—
722C2×#67—41no—
723C2×#67—41no—
724C2×#67—416no—
725C2×#67—416no—
726C2×#67#4114yescomplemented
727C22×Dic3—22no—
728C22×Dic3—22no—
729C22×Dic3—22no—
730C22×Dic3—22no—
731C22×Dic3—22no—
732C22×Dic3—22no—
733C22×Dic3—22no—
734C22×Dic3—22no—
735C22×Dic3—22no—
736C22×Dic3—22no—
737C22×Dic3—41no—
738C22×Dic3—41no—
739C22×Dic3—41no—
740C22×Dic3—41no—
741C22×Dic3—41no—
742C22×Dic3—41no—
743C22×Dic3—41no—
744C22×Dic3—41no—
745C22×Dic3C2411yescharacteristic
746C22×Dic3C2411yescharacteristic
747C22×Dic3C2411yescharacteristic
748C22×Dic3C2411yescharacteristic
749C22×Dic3C2411yescharacteristic
750C22×Dic3C2411yescharacteristic
751C22×Dic3C2411yescharacteristic
752C22×Dic3C2411yescharacteristic
753C22×Dic3C2411yescharacteristic
754C22×Dic3C2411yescharacteristic
755C22×Dic3C2411yescharacteristic
756C22×Dic3C2411yescharacteristic
757#237—416no—
758D3×D4—416no—
759C2×D12—22no—
760C2×D12—22no—
761C2×D12—22no—
762C2×D12—41no—
763C2×D12—41no—
764C2×D12—41no—
765C2×D12—41no—
766C2×D12—41no—
767C2×D12—41no—
768C2×D12—41no—
769C2×D12—41no—
770C2×D12—41no—
771C2×C4×D3—22no—
772C2×C4×D3—22no—
773C2×C4×D3—41no—
774C2×C4×D3—41no—
775C2×C4×D3—41no—
776C2×C4×D3—41no—
777C2×Dic6—22no—
778C2×Dic6—41no—
779C2×Dic6—41no—
780C3×C22⋊C4—22no—
781C3×C22⋊C4—22no—
782C3×C22⋊C4—22no—
783C3×C22⋊C4—22no—
784C3×C22⋊C4—41no—
785C3×C22⋊C4—41no—
786C3×C22⋊C4—41no—
787C3×C22⋊C4—41no—
788C3×C22⋊C4—41no—
789C3×C22⋊C4—41no—
790C3×C22⋊C4—41no—
791C3×C22⋊C4—41no—
792#217—22no—
793#217—22no—
794#217—22no—
795#217—22no—
796#217—22no—
797#217—22no—
798#217—22no—
799#217—22no—
800#217—22no—
801#217—22no—
802#217—22no—
803#217—22no—
804#217—22no—
805#217—22no—
806#217—22no—
807#217—22no—
808(C2×D3)⋊C4—22no—
809(C2×D3)⋊C4—22no—
810(C2×D3)⋊C4—22no—
811(C2×D3)⋊C4—22no—
812(C2×D3)⋊C4—22no—
813(C2×D3)⋊C4—22no—
814(C2×D3)⋊C4—22no—
815(C2×D3)⋊C4—22no—
816(C2×D3)⋊C4—41no—
817(C2×D3)⋊C4—41no—
818(C2×D3)⋊C4—41no—
819(C2×D3)⋊C4—41no—
820(C2×D3)⋊C4—41no—
821(C2×D3)⋊C4—41no—
822(C2×D3)⋊C4—41no—
823(C2×D3)⋊C4—41no—
824(C2×D3)⋊C4—41no—
825(C2×D3)⋊C4—41no—
826(C2×D3)⋊C4—41no—
827(C2×D3)⋊C4—41no—
828(C2×D3)⋊C4—41no—
829(C2×D3)⋊C4—41no—
830(C2×D3)⋊C4—41no—
831(C2×D3)⋊C4—41no—
832(C2×D3)⋊C4—41no—
833(C2×D3)⋊C4—41no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838C4⋊Dic3—22no—
839C4⋊Dic3—22no—
840C4⋊Dic3—22no—
841C4⋊Dic3—22no—
842C4⋊Dic3—41no—
843C4⋊Dic3—41no—
844C4⋊Dic3—41no—
845C4⋊Dic3—41no—
846C4⋊Dic3—41no—
847C4⋊Dic3—41no—
848C4⋊Dic3—41no—
849Dic3⋊C4—22no—
850Dic3⋊C4—22no—
851Dic3⋊C4—22no—
852Dic3⋊C4—22no—
853C4×Dic3—22no—
854C4×Dic3—22no—
855C25—31no—
856C25—31no—
857C25C22×D311yescharacteristic
858C25C22×D311yescharacteristic
859C2×#41—64no—
860C2×#41—122no—
861C2×#41—122no—
862C22×Q8—31no—
863C22×D4—31no—
864C22×D4—31no—
865C22×D4—31no—
866C22×D4—31no—
867C22×D4—31no—
868C22×D4—31no—
869C22×D4—31no—
870C22×D4—31no—
871C22×D4—31no—
872C22×D4—31no—
873C22×D4—31no—
874C22×D4—31no—
875C22×D4—31no—
876C22×D4—31no—
877C22×D4—31no—
878C22×D4—31no—
879C22×D4—31no—
880C22×D4—31no—
881C22×D4—31no—
882C22×D4—31no—
883C22×D4—42no—
884C22×D4—42no—
885C22×D4—64no—
886C22×D4—64no—
887C22×D4—64no—
888C22×D4—64no—
889C22×D4—64no—
890C22×D4—122no—
891C22×D4—122no—
892C22×D4—122no—
893C22×D4—122no—
894C22×D4D1218yescomplemented
895C22×D4C22×D311yescharacteristic
896C22×D4C22×D311yescharacteristic
897C22×D4C22×D311yescharacteristic
898C22×D4C22×D311yescharacteristic
899C23×C4—31no—
900C23×C4—31no—
901C23×C4—31no—
902C23×C4—31no—
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4—42no—
908C23×C4—42no—
909C23×C4—42no—
910C23×C4C22×D311yescharacteristic
911C23×C4C22×D311yescharacteristic
912C23×C4C22×D311yescharacteristic
913C23×C4C22×D311yescharacteristic
914C23×C4C22×D311yescharacteristic
915C23×C4C22×D311yescharacteristic
916C23×C4C22×D311yescharacteristic
917C23×C4C22×D311yescharacteristic
918C23×C4C22×D311yescharacteristic
919#127—64no—
920#124—64no—
921#123—64no—
922#123—64no—
923#123—122no—
924#123—122no—
925C22⋊Q8—64no—
926#121—64no—
927#121—64no—
928#121—64no—
929#121—64no—
930#121—64no—
931#121—64no—
932#121—64no—
933#121—64no—
934#121—122no—
935#121—122no—
936#121—122no—
937#121—122no—
938#120—64no—
939#120—64no—
940#120—64no—
941#120—64no—
942#120—64no—
943#120—64no—
944#120—122no—
945#120—122no—
946C4×D4—64no—
947C4×D4—64no—
948C4×D4—64no—
949C4×D4—64no—
950C2×C4⋊C4—31no—
951C2×C4⋊C4—31no—
952C2×C4⋊C4—31no—
953C2×C4⋊C4—31no—
954C2×C4⋊C4—31no—
955C2×C4⋊C4—31no—
956C2×C4⋊C4—31no—
957C2×C4⋊C4—31no—
958C2×C4⋊C4—31no—
959C2×C4⋊C4—31no—
960C2×C4⋊C4—31no—
961C2×C4⋊C4—31no—
962C2×C4⋊C4—31no—
963C2×C4⋊C4—31no—
964C2×C4⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—42no—
1012C2×C22⋊C4—42no—
1013C2×C22⋊C4—42no—
1014C2×C22⋊C4—64no—
1015C2×C22⋊C4—64no—
1016C2×C22⋊C4—122no—
1017C2×C22⋊C4—122no—
1018C2×C22⋊C4C22×D311yescharacteristic
1019C2×C22⋊C4C22×D311yescharacteristic
1020C2×C22⋊C4C22×D311yescharacteristic
1021C2×C22⋊C4C22×D311yescharacteristic
1022C2×C22⋊C4C22×D311yescharacteristic
1023C2×C22⋊C4C22×D311yescharacteristic
1024C2×C22⋊C4C22×D311yescharacteristic
1025C2×C22⋊C4C22×D311yescharacteristic
1026C2×C22⋊C4C22×D311yescharacteristic
1027C2×C22⋊C4C22×D311yescharacteristic
1028C2×C22⋊C4C22×D311yescharacteristic
1029C2×C22⋊C4C22×D311yescharacteristic
1030C2×C42—31no—
1031C2×C42—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#95—31no—
1048#95—31no—
1049#95—31no—
1050#95—31no—
1051#95—31no—
1052#95—31no—
1053#95—31no—
1054#95—31no—
1055#95—31no—
1056#95—31no—
1057#95—31no—
1058#95C22×D311yescharacteristic
1059#95C22×D311yescharacteristic
1060#95C22×D311yescharacteristic
1061#95C22×D311yescharacteristic
1062#95C22×D311yescharacteristic
1063#95C22×D311yescharacteristic
1064#95C22×D311yescharacteristic
1065#95C22×D311yescharacteristic
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—28no—
1075C23×C3—28no—
1076C23×C3—21no—
1077C23×C3—21no—
1078C23×C3—21no—
1079C23×C3—21no—
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—21no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—28no—
1095C23×C3—44no—
1096C23×C3—44no—
1097C23×C3—44no—
1098C23×C3—44no—
1099C23×C3—44no—
1100C23×C3—44no—
1101C23×C3—44no—
1102C23×C3—82no—
1103C23×C3—82no—
1104C23×C3—82no—
1105C23×C3—82no—
1106C23×C3C22×D412yes—
1107C23×C3C22×D412yes—
1108C23×C3C22×D412yes—
1109C23×C3C22×D412yes—
1110C23×C3C22×D412yes—
1111C23×C3C2×#4112yes—
1112C23×C3H(5,𝔽2)12yes—
1113C23×C3H(5,𝔽2)12yes—
1114C23×C3H(5,𝔽2)12yes—
1115C23×C3C2511yescharacteristic
1116C22×D3—21no—
1117C22×D3—21no—
1118C22×D3—21no—
1119C22×D3—21no—
1120C22×D3—21no—
1121C22×D3—21no—
1122C22×D3—21no—
1123C22×D3—21no—
1124C22×D3—21no—
1125C22×D3—21no—
1126C22×D3—21no—
1127C22×D3—21no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—44no—
1144C22×D3—44no—
1145C22×D3—44no—
1146C22×D3—44no—
1147C22×D3—44no—
1148C22×D3—44no—
1149C22×D3—82no—
1150C22×D3—82no—
1151C22×D3—82no—
1152C22×D3—82no—
1153C22×D3—82no—
1154C22×D3—82no—
1155C22×D3—82no—
1156C22×D3—82no—
1157C22×D3C2×#4112yes—
1158C3×D4—28no—
1159C3×D4—28no—
1160C3×D4—44no—
1161C3×D4—44no—
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—21no—
1173C2×C3×C4—21no—
1174C2×C3×C4—21no—
1175C2×C3×C4—21no—
1176C2×C3×C4—21no—
1177C2×C3×C4—21no—
1178C2×C3×C4—21no—
1179C2×C3×C4—21no—
1180C2×C3×C4—21no—
1181C2×C3×C4—21no—
1182C2×C3×C4—21no—
1183C2×C3×C4—21no—
1184C2×C3×C4—21no—
1185C2×C3×C4—21no—
1186C2×C3×C4—21no—
1187C2×C3×C4—21no—
1188C2×C3×C4—21no—
1189C2×C3×C4—44no—
1190C2×C3×C4—44no—
1191C2×C3×C4—44no—
1192C2×C3×C4—44no—
1193C2×C3×C4—44no—
1194C2×C3×C4—44no—
1195C2×C3×C4—44no—
1196C2×C3×C4—82no—
1197C2×C3×C4—82no—
1198C2×C3×C4C22×D412yes—
1199C2×C3×C4C22×D412yes—
1200C2×C3×C4H(5,𝔽2)12yes—
1201#67—28no—
1202#67—44no—
1203#67—44no—
1204#67—44no—
1205#67—44no—
1206#67—44no—
1207#67—44no—
1208#67—44no—
1209#67—44no—
1210#67—44no—
1211#67—44no—
1212#67—44no—
1213#67—82no—
1214#67—82no—
1215#67—82no—
1216#67—82no—
1217C2×Dic3—21no—
1218C2×Dic3—21no—
1219C2×Dic3—21no—
1220C2×Dic3—21no—
1221C2×Dic3—21no—
1222C2×Dic3—21no—
1223C2×Dic3—21no—
1224C2×Dic3—21no—
1225C2×Dic3—21no—
1226C2×Dic3—21no—
1227C2×Dic3—21no—
1228C2×Dic3—21no—
1229C2×Dic3—21no—
1230C2×Dic3—21no—
1231C2×Dic3—21no—
1232C2×Dic3—21no—
1233C2×Dic3—21no—
1234C2×Dic3—21no—
1235C2×Dic3—21no—
1236C2×Dic3—21no—
1237C2×Dic3—21no—
1238C2×Dic3—21no—
1239C2×Dic3—21no—
1240C2×Dic3—21no—
1241C2×Dic3—21no—
1242C2×Dic3—21no—
1243C2×Dic3—21no—
1244C2×Dic3—21no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—44no—
1253C2×Dic3—44no—
1254C2×Dic3—44no—
1255C2×Dic3—44no—
1256C2×Dic3—82no—
1257C2×Dic3—82no—
1258C2×Dic3C2×#4112yes—
1259D12—44no—
1260D12—82no—
1261D12—82no—
1262D12—82no—
1263C4×D3—44no—
1264C4×D3—44no—
1265Dic6—44no—
1266C24—22no—
1267C24—22no—
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—31no—
1273C24—31no—
1274C24—31no—
1275C24—31no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—62no—
1283C24—62no—
1284C24—62no—
1285C24—62no—
1286C24—62no—
1287C24—62no—
1288C24—121no—
1289C24—121no—
1290C24—121no—
1291C24—121no—
1292C24—121no—
1293C24—121no—
1294C24—121no—
1295C24—121no—
1296C24C2×D1214yes—
1297C24C2×D1214yes—
1298C24C23×D311yescharacteristic
1299C24C23×D311yescharacteristic
1300C24C23×D311yescharacteristic
1301C24C23×D311yescharacteristic
1302C24C23×D311yescharacteristic
1303#41—1216no—
1304C2×Q8—62no—
1305C2×Q8—121no—
1306C2×Q8—121no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—34no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—416no—
1317C2×D4—62no—
1318C2×D4—62no—
1319C2×D4—62no—
1320C2×D4—62no—
1321C2×D4—62no—
1322C2×D4—62no—
1323C2×D4—62no—
1324C2×D4—62no—
1325C2×D4—62no—
1326C2×D4—62no—
1327C2×D4—62no—
1328C2×D4—62no—
1329C2×D4—62no—
1330C2×D4—62no—
1331C2×D4—62no—
1332C2×D4—62no—
1333C2×D4—62no—
1334C2×D4—62no—
1335C2×D4—62no—
1336C2×D4—62no—
1337C2×D4—62no—
1338C2×D4—62no—
1339C2×D4—62no—
1340C2×D4—62no—
1341C2×D4—62no—
1342C2×D4—62no—
1343C2×D4—62no—
1344C2×D4—62no—
1345C2×D4—62no—
1346C2×D4—62no—
1347C2×D4—62no—
1348C2×D4—62no—
1349C2×D4—62no—
1350C2×D4—62no—
1351C2×D4—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—121no—
1362C2×D4—121no—
1363C2×D4—121no—
1364C2×D4—121no—
1365C2×D4—121no—
1366C2×D4—121no—
1367C2×D4—121no—
1368C2×D4—121no—
1369C2×D4—121no—
1370C2×D4—121no—
1371C2×D4—121no—
1372C2×D4—121no—
1373C2×D4—121no—
1374C2×D4—121no—
1375C2×D4—121no—
1376C2×D4—1216no—
1377C2×D4—1216no—
1378C2×D4—1216no—
1379C2×D4C2×D1214yes—
1380C2×D4C2×D1214yes—
1381C2×D4C2×D1214yes—
1382C2×D4C2×D1214yes—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—31no—
1393C22×C4—31no—
1394C22×C4—31no—
1395C22×C4—31no—
1396C22×C4—31no—
1397C22×C4—31no—
1398C22×C4—31no—
1399C22×C4—31no—
1400C22×C4—31no—
1401C22×C4—31no—
1402C22×C4—31no—
1403C22×C4—31no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—416no—
1422C22×C4—62no—
1423C22×C4—62no—
1424C22×C4—62no—
1425C22×C4—62no—
1426C22×C4—62no—
1427C22×C4—62no—
1428C22×C4—62no—
1429C22×C4—62no—
1430C22×C4—62no—
1431C22×C4—62no—
1432C22×C4—62no—
1433C22×C4—62no—
1434C22×C4—121no—
1435C22×C4—121no—
1436C22×C4—121no—
1437C22×C4—121no—
1438C22×C4—121no—
1439C22×C4—121no—
1440C22×C4—121no—
1441C22×C4—121no—
1442C22×C4—121no—
1443C22×C4—121no—
1444C22×C4—121no—
1445C22×C4—121no—
1446C22×C4C2×D1214yes—
1447C22×C4C23×D311yescharacteristic
1448C22×C4C23×D311yescharacteristic
1449C22×C4C23×D311yescharacteristic
1450C22×C4C23×D311yescharacteristic
1451C22×C4C23×D311yescharacteristic
1452C22×C4C23×D311yescharacteristic
1453C22×C4C23×D311yescharacteristic
1454C22×C4C23×D311yescharacteristic
1455C22×C4C23×D311yescharacteristic
1456C22×C4C23×D311yescharacteristic
1457C4⋊C4—62no—
1458C4⋊C4—62no—
1459C4⋊C4—62no—
1460C4⋊C4—62no—
1461C4⋊C4—62no—
1462C4⋊C4—62no—
1463C4⋊C4—62no—
1464C4⋊C4—62no—
1465C4⋊C4—121no—
1466C4⋊C4—121no—
1467C4⋊C4—121no—
1468C4⋊C4—121no—
1469C4⋊C4—121no—
1470C4⋊C4—121no—
1471C4⋊C4—121no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—62no—
1485C22⋊C4—62no—
1486C22⋊C4—62no—
1487C22⋊C4—62no—
1488C22⋊C4—62no—
1489C22⋊C4—62no—
1490C22⋊C4—62no—
1491C22⋊C4—62no—
1492C22⋊C4—62no—
1493C22⋊C4—62no—
1494C22⋊C4—62no—
1495C22⋊C4—62no—
1496C22⋊C4—62no—
1497C22⋊C4—62no—
1498C22⋊C4—62no—
1499C22⋊C4—62no—
1500C22⋊C4—62no—
1501C22⋊C4—62no—
1502C22⋊C4—62no—
1503C22⋊C4—62no—
1504C22⋊C4—62no—
1505C22⋊C4—62no—
1506C22⋊C4—62no—
1507C22⋊C4—62no—
1508C22⋊C4—121no—
1509C22⋊C4—121no—
1510C22⋊C4—121no—
1511C22⋊C4—121no—
1512C22⋊C4—121no—
1513C22⋊C4—121no—
1514C22⋊C4—121no—
1515C22⋊C4—121no—
1516C22⋊C4—121no—
1517C22⋊C4—121no—
1518C22⋊C4—121no—
1519C22⋊C4—121no—
1520C22⋊C4—121no—
1521C22⋊C4—121no—
1522C22⋊C4—121no—
1523C22⋊C4—121no—
1524C22⋊C4—121no—
1525C22⋊C4—121no—
1526C22⋊C4—121no—
1527C22⋊C4—121no—
1528C22⋊C4—121no—
1529C22⋊C4—121no—
1530C42—62no—
1531C42—62no—
1532C22×C3—22no—
1533C22×C3—22no—
1534C22×C3—22no—
1535C22×C3—22no—
1536C22×C3—22no—
1537C22×C3—22no—
1538C22×C3—22no—
1539C22×C3—22no—
1540C22×C3—22no—
1541C22×C3—22no—
1542C22×C3—22no—
1543C22×C3—22no—
1544C22×C3—22no—
1545C22×C3—22no—
1546C22×C3—22no—
1547C22×C3—22no—
1548C22×C3—22no—
1549C22×C3—22no—
1550C22×C3—22no—
1551C22×C3—22no—
1552C22×C3—22no—
1553C22×C3—416no—
1554C22×C3—41no—
1555C22×C3—41no—
1556C22×C3—41no—
1557C22×C3—41no—
1558C22×C3—41no—
1559C22×C3—41no—
1560C22×C3—41no—
1561C22×C3—41no—
1562C22×C3—41no—
1563C22×C3—41no—
1564C22×C3—41no—
1565C22×C3—41no—
1566C22×C3—88no—
1567C22×C3#53414yes—
1568C22×C3#54614yes—
1569C22×C3C23×D411yescharacteristic
1570C22×C3C22×#4111yescharacteristic
1571C22×C3C2×H(5,𝔽2)11yescharacteristic
1572C22×C3C2×H(5,𝔽2)11yescharacteristic
1573C22×C3C2×H(5,𝔽2)11yescharacteristic
1574C22×C3C2×H(5,𝔽2)11yescharacteristic
1575C22×C3#58511yescharacteristic
1576C2×D3—22no—
1577C2×D3—22no—
1578C2×D3—22no—
1579C2×D3—41no—
1580C2×D3—41no—
1581C2×D3—41no—
1582C2×D3—41no—
1583C2×D3—41no—
1584C2×D3—41no—
1585C2×D3—41no—
1586C2×D3—41no—
1587C2×D3—41no—
1588C2×D3—41no—
1589C2×D3—41no—
1590C2×D3—41no—
1591C2×D3—41no—
1592C2×D3—41no—
1593C2×D3—41no—
1594C2×D3—41no—
1595C2×D3—41no—
1596C2×D3—41no—
1597C2×D3—41no—
1598C2×D3—41no—
1599C2×D3—41no—
1600C2×D3—41no—
1601C2×D3—41no—
1602C2×D3—41no—
1603C2×D3—41no—
1604C2×D3—88no—
1605C2×D3—88no—
1606C3×C4—22no—
1607C3×C4—22no—
1608C3×C4—22no—
1609C3×C4—41no—
1610C3×C4—41no—
1611C3×C4—41no—
1612C3×C4—41no—
1613C3×C4—41no—
1614C3×C4—41no—
1615C3×C4—41no—
1616Dic3—22no—
1617Dic3—41no—
1618Dic3—41no—
1619Dic3—41no—
1620Dic3—41no—
1621Dic3—41no—
1622Dic3—41no—
1623Dic3—41no—
1624Dic3—41no—
1625Dic3—41no—
1626Dic3—41no—
1627Dic3—41no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—28no—
1655C23—28no—
1656C23—28no—
1657C23—32no—
1658C23—44no—
1659C23—44no—
1660C23—44no—
1661C23—44no—
1662C23—44no—
1663C23—44no—
1664C23—44no—
1665C23—61no—
1666C23—61no—
1667C23—61no—
1668C23—61no—
1669C23—61no—
1670C23—61no—
1671C23—61no—
1672C23—61no—
1673C23—61no—
1674C23—61no—
1675C23—61no—
1676C23—61no—
1677C23—61no—
1678C23—61no—
1679C23—61no—
1680C23—61no—
1681C23—61no—
1682C23—61no—
1683C23—61no—
1684C23—61no—
1685C23—61no—
1686C23—61no—
1687C23—61no—
1688C23—61no—
1689C23—61no—
1690C23—61no—
1691C23—61no—
1692C23—82no—
1693C23—82no—
1694C23—82no—
1695C23—82no—
1696C23—124no—
1697C23—124no—
1698C23—124no—
1699C23—124no—
1700C23—124no—
1701C23—124no—
1702C23—242no—
1703C23—242no—
1704C23—242no—
1705C23—242no—
1706C23—242no—
1707C23—242no—
1708C23—242no—
1709C23—242no—
1710C23C22×D1212yes—
1711C23C22×D1212yes—
1712C23C22×D1212yes—
1713C23C22×D1212yes—
1714C23C22×D1212yes—
1715C23#100412yes—
1716C23#100412yes—
1717C23#100412yes—
1718C23D3×#4112yes—
1719C23C24×D311yescharacteristic
1720Q8—124no—
1721D4—28no—
1722D4—28no—
1723D4—44no—
1724D4—44no—
1725D4—68no—
1726D4—124no—
1727D4—124no—
1728D4—124no—
1729D4—124no—
1730D4—124no—
1731D4—124no—
1732D4—124no—
1733D4—124no—
1734D4—124no—
1735D4—124no—
1736D4—124no—
1737D4—124no—
1738D4—242no—
1739D4—242no—
1740D4—242no—
1741D4—242no—
1742D4—242no—
1743D4—242no—
1744D4—242no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—32no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—61no—
1781C2×C4—61no—
1782C2×C4—61no—
1783C2×C4—61no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—61no—
1791C2×C4—61no—
1792C2×C4—61no—
1793C2×C4—61no—
1794C2×C4—61no—
1795C2×C4—61no—
1796C2×C4—61no—
1797C2×C4—61no—
1798C2×C4—61no—
1799C2×C4—61no—
1800C2×C4—61no—
1801C2×C4—61no—
1802C2×C4—61no—
1803C2×C4—61no—
1804C2×C4—61no—
1805C2×C4—61no—
1806C2×C4—61no—
1807C2×C4—61no—
1808C2×C4—61no—
1809C2×C4—61no—
1810C2×C4—61no—
1811C2×C4—61no—
1812C2×C4—61no—
1813C2×C4—61no—
1814C2×C4—61no—
1815C2×C4—82no—
1816C2×C4—82no—
1817C2×C4—124no—
1818C2×C4—124no—
1819C2×C4—124no—
1820C2×C4—124no—
1821C2×C4—124no—
1822C2×C4—124no—
1823C2×C4—242no—
1824C2×C4—242no—
1825C2×C4C22×D1212yes—
1826C2×C4C22×D1212yes—
1827C2×C4#100412yes—
1828C2×C3—24no—
1829C2×C3—24no—
1830C2×C3—42no—
1831C2×C3—42no—
1832C2×C3—42no—
1833C2×C3C2×#53411yescharacteristic
1834C2×C3C2×#54611yescharacteristic
1835C2×C3#349611yescharacteristic
1836C2×C3#351311yescharacteristic
1837C2×C3#351911yescharacteristic
1838C2×C3#353211yescharacteristic
1839C2×C3#353411yescharacteristic
1840D3—42no—
1841D3—81no—
1842D3—81no—
1843D3—81no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—22no—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—416no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—62no—
1879C22—62no—
1880C22—62no—
1881C22—88no—
1882C22—121no—
1883C22—121no—
1884C22—121no—
1885C22—121no—
1886C22—121no—
1887C22—121no—
1888C22—121no—
1889C22—121no—
1890C22—121no—
1891C22—121no—
1892C22—121no—
1893C22—121no—
1894C22—121no—
1895C22—121no—
1896C22—121no—
1897C22—121no—
1898C22—121no—
1899C22—121no—
1900C22—121no—
1901C22—121no—
1902C22—121no—
1903C22—121no—
1904C22—121no—
1905C22—121no—
1906C22—121no—
1907C22—248no—
1908C22—248no—
1909C22#549314yes—
1910C22#555414yes—
1911C22C23×D1211yescharacteristic
1912C22C2×#100411yescharacteristic
1913C22C2×#100411yescharacteristic
1914C22C2×#100411yescharacteristic
1915C22C2×#100411yescharacteristic
1916C22C2×D3×#4111yescharacteristic
1917C22#596411yescharacteristic
1918C4—22no—
1919C4—22no—
1920C4—22no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—41no—
1927C4—41no—
1928C4—62no—
1929C4—121no—
1930C4—121no—
1931C4—121no—
1932C4—121no—
1933C4—121no—
1934C4—121no—
1935C4—121no—
1936C4—121no—
1937C4—121no—
1938C4—121no—
1939C4—121no—
1940C3#3807611yescharacteristic, complemented, Sylow
1941C2—24no—
1942C2—24no—
1943C2—42no—
1944C2—42no—
1945C2—42no—
1946C2—122no—
1947C2—241no—
1948C2—241no—
1949C2—241no—
1950C2C2×#549311yescharacteristic
1951C2C2×#555411yescharacteristic
1952C2#8578611yescharacteristic
1953C2#8592111yescharacteristic
1954C2#8595111yescharacteristic
1955C2#8595411yescharacteristic
1956C2#8601311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC2×C3×#386C2
hypercenterC2×#386D3
hypocenterC3#38076
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C2×D4×#67C2semidirect
2. C2×#5806C2semidirect
3. C2×C3×#386C2semidirect
4. #84032C2semidirect
5. C2×#5213C2semidirect
6. #82130C2semidirect
7. #82127C2semidirect
8. #82127C2semidirect
9. #82121C2semidirect
10. #82108C2semidirect
11. #82108C2semidirect
12. #74918C2semidirect
13. #74910C2semidirect
14. #74891C2semidirect
15. #74888C2semidirect
16. #74885C2semidirect
17. #74820C2semidirect
18. #74819C2semidirect
19. #74799C2semidirect
20. #74799C2semidirect
21. #74796C2semidirect
22. #74792C2semidirect
23. #74706C2semidirect
24. #74706C2semidirect
25. #74699C2semidirect
26. #74694C2semidirect
27. #74686C2semidirect
28. #73379C2semidirect
29. #73378C2semidirect
30. #73358C2semidirect
31. #73333C2semidirect
34. C24×C3×C4C22semidirect
37. C22×#237C22semidirect
39. C22×C3×C22⋊C4C22semidirect
40. C22×C3×C22⋊C4C22semidirect
41. C22×C3×C22⋊C4C22semidirect
44. C2×#953C22semidirect
45. C2×#953C22semidirect
46. C22×#217C22semidirect
47. C22×#217C22semidirect
53. C2×#939C22semidirect
56. C2×#938C22semidirect
59. C2×#936C22semidirect
61. C2×#935C22semidirect
63. C2×D4×Dic3C22semidirect
66. C2×#930C22semidirect
67. C2×#930C22semidirect
68. C2×#930C22semidirect
69. C2×#930C22semidirect
71. C2×C4×#67C22semidirect
72. C22×(C2×D3)⋊C4C22semidirect
73. C22×(C2×D3)⋊C4C22semidirect
74. C2×#924C22semidirect
75. C2×#886C22semidirect
76. C2×#886C22semidirect
77. C2×#882C22semidirect
78. C2×#882C22semidirect
81. C3×#386C22semidirect
82. C3×#386C22semidirect
83. C3×#386C22semidirect
84. C3×#386C22semidirect
85. C3×#386C22semidirect
86. C3×#386C22semidirect
87. C2×C3×#95C22semidirect
88. C2×C3×#95C22semidirect
92. #5213C22semidirect
93. #5213C22semidirect
94. #5213C22semidirect
95. #5213C22semidirect
96. #5213C22semidirect
97. #5213C22semidirect
98. #5213C22semidirect
99. #5213C22semidirect
100. #5213C22semidirect
101. #5213C22semidirect
102. #5213C22semidirect
103. #5213C22semidirect
104. #5213C22semidirect
105. #5213C22semidirect
106. #5213C22semidirect
107. #5212C22semidirect
108. #5212C22semidirect
109. #5212C22semidirect
110. #5212C22semidirect
111. #5212C22semidirect
112. C2×C3⋊#95C22semidirect
113. C2×C3⋊#95C22semidirect
114. #4961C22semidirect
115. #4961C22semidirect
116. #4961C22semidirect
117. #4961C22semidirect
118. #4961C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4961C22semidirect
126. #4960C22semidirect
127. #4960C22semidirect
128. #4960C22semidirect
129. #4960C22semidirect
130. #4960C22semidirect
131. #4960C22semidirect
132. #4958C22semidirect
133. #4958C22semidirect
134. #4958C22semidirect
135. #4958C22semidirect
136. #4958C22semidirect
137. #4958C22semidirect
138. #4958C22semidirect
139. #4958C22semidirect
140. #4955C22semidirect
141. #4955C22semidirect
142. #4955C22semidirect
143. #4955C22semidirect
144. #4953C22semidirect
145. #4953C22semidirect
146. #4953C22semidirect
147. #4953C22semidirect
148. #4953C22semidirect
149. #4953C22semidirect
150. #4950C22semidirect
151. #4950C22semidirect
152. #4950C22semidirect
153. #4950C22semidirect
154. #4943C22semidirect
155. #4943C22semidirect
156. #4943C22semidirect
157. #4943C22semidirect
158. #4677C22semidirect
159. #4674C22semidirect
160. #4674C22semidirect
161. #4674C22semidirect
162. #4673C22semidirect
163. #4673C22semidirect
164. #4673C22semidirect
165. #4672C22semidirect
166. #4672C22semidirect
167. #4672C22semidirect
168. #4671C22semidirect
169. #4670C22semidirect
170. #4670C22semidirect
171. #4670C22semidirect
172. #4670C22semidirect
173. #4668C22semidirect
174. #4668C22semidirect
175. #4668C22semidirect
176. #4668C22semidirect
177. #4665C22semidirect
178. #4665C22semidirect
179. #4665C22semidirect
180. #4665C22semidirect
181. #4661C22semidirect
182. #4659C22semidirect
183. #4659C22semidirect
184. #4659C22semidirect
185. #4656C22semidirect
186. #4653C22semidirect
187. #4653C22semidirect
188. #4653C22semidirect
189. #4653C22semidirect
220. C2×#386D3semidirect
227. C22×C3×D4D4semidirect
437. C24×C4C2×D3semidirect
475. C22×C22⋊C4C2×D3semidirect
476. C22×C22⋊C4C2×D3semidirect
477. C22×C22⋊C4C2×D3semidirect
558. #386C2×D3semidirect
559. #386C2×D3semidirect
560. #386C2×D3semidirect
561. #386C2×D3semidirect
562. #386C2×D3semidirect
563. #386C2×D3semidirect
587. C2×#95C2×D3semidirect
588. C2×#95C2×D3semidirect
726. C2×#67#41semidirect
894. C22×D4D12semidirect
1940. C3#38076semidirect

Maximal subgroups

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

subgroupindex
C2×D4×#672
C2×#58062
C2×C3×#3862
#840322
C2×#52132
#821302
#821272
#821212
#821082
#749182
#749102
#748912
#748882
#748852
#748202
#748192
#747992
#747962
#747922
#747062
#746992
#746942
#746862
#733792
#733782
#733582
#733332
#380763