Finite Group Databasebeta

← #11633114

Subgroups — #11633114

Order 768.

4080 conjugacy classes of subgroups.

The subgroup lattice has 2014 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D3×#120C211yesmaximal, characteristic
2C2×#5527C211yesmaximal, characteristic, complemented
3C3×#2411C211yesmaximal, characteristic, complemented
4#82895C211yesmaximal, characteristic, complemented
5#82893C211yesmaximal, characteristic, complemented
6#82589C211yesmaximal, characteristic, complemented
7#82271C211yesmaximal, characteristic, complemented
8#82129C211yesmaximal, characteristic, complemented
9C2×#4955C211yesmaximal, characteristic, complemented
10#77437C211yesmaximal, characteristic, complemented
11#77421C211yesmaximal, characteristic, complemented
12#77418C211yesmaximal, characteristic, complemented
13#77303C211yesmaximal, characteristic, complemented
14#77144C211yesmaximal, characteristic, complemented
15#77106C211yesmaximal, characteristic, complemented
16#77106C211yesmaximal, characteristic, complemented
17#76926C211yesmaximal, characteristic, complemented
18#76467C211yesmaximal, characteristic, complemented
19#76437C211yesmaximal, characteristic, complemented
20#76431C211yesmaximal, characteristic, complemented
21#76315C211yesmaximal, characteristic, complemented
22#75917C211yesmaximal, characteristic, complemented
23#75844C211yesmaximal, characteristic, complemented
24#75832C211yesmaximal, characteristic, complemented
25#75539C211yesmaximal, characteristic, complemented
26#74890C211yesmaximal, characteristic, complemented
27#74878C211yesmaximal, characteristic, complemented
28#74596C211yesmaximal, characteristic, complemented
29#74413C211yesmaximal, characteristic, complemented
30D3×#379C211yesmaximal, characteristic, complemented
31#73826C211yesmaximal, characteristic, complemented
32#59006—31nomaximal, Sylow
33C25×D3C2211yescharacteristic
34C22×D3×D4C2211yescharacteristic
35C22×D3×D4C2211yescharacteristic
36C22×D3×D4C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic, complemented
38C2×C3×#120C2211yescharacteristic
39C2×C3×#117C2211yescharacteristic, complemented
40C22×C3×C22⋊C4C2211yescharacteristic, complemented
41C2×#953C2211yescharacteristic
42C22×#217C2211yescharacteristic, complemented
43C2×#937C2211yescharacteristic
44C2×#937C2211yescharacteristic
45C2×#937C2211yescharacteristic
46C2×#936C2211yescharacteristic, complemented
47C2×#929C2211yescharacteristic, complemented
48C2×C4×#67C2211yescharacteristic, complemented
49C22×(C2×D3)⋊C4C2211yescharacteristic
50C22×(C2×D3)⋊C4C2211yescharacteristic
51C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
52C22×(C2×D3)⋊C4C2211yescharacteristic, complemented
53D3×#120—28no—
54#5527—28no—
55C2×#898C2211yescharacteristic, complemented
56C2×#897C2211yescharacteristic, complemented
57C2×#896C2211yescharacteristic, complemented
58C2×#894C2211yescharacteristic, complemented
59C2×#894C2211yescharacteristic, complemented
60C2×#893C2211yescharacteristic, complemented
61C2×#883C2211yescharacteristic, complemented
62C2×#883C2211yescharacteristic, complemented
63C2×#882C2211yescharacteristic
64C2×#882C2211yescharacteristic
65C2×#882C2211yescharacteristic
66C2×#67⋊C4C2211yescharacteristic, complemented
67C2×D3×C22⋊C4C2211yescharacteristic
68C2×D3×C22⋊C4C2211yescharacteristic
69C2×D3×C22⋊C4C2211yescharacteristic
70C2×D3×C22⋊C4C2211yescharacteristic
71C2×D3×C22⋊C4C2211yescharacteristic
72C2×D3×C22⋊C4C2211yescharacteristic, complemented
73C2×D3×C22⋊C4C2211yescharacteristic, complemented
74C2×D3×C22⋊C4C2211yescharacteristic, complemented
75C2×D3×C22⋊C4C2211yescharacteristic, complemented
76C2×D3×C22⋊C4C2211yescharacteristic, complemented
77C2×#878C2211yescharacteristic, complemented
78C2×#876C2211yescharacteristic, complemented
79C2×#875C2211yescharacteristic, complemented
80C2×C4×D12C2211yescharacteristic, complemented
81C2×#872C2211yescharacteristic, complemented
82C3×#396C2211yescharacteristic, complemented
83C3×#396C2211yescharacteristic, complemented
84C3×#394C2211yescharacteristic, complemented
85C3×#394C2211yescharacteristic, complemented
86C3×#390C2211yescharacteristic, complemented
87C3×#390C2211yescharacteristic, complemented
88C3×#388C2211yescharacteristic, complemented
89C3×#388C2211yescharacteristic, complemented
90C3×#386C2211yescharacteristic, complemented
91C3×#385C2211yescharacteristic, complemented
92C3×#379C2211yescharacteristic, complemented
93#5247C2211yescharacteristic, complemented
94#5222C2211yescharacteristic, complemented
95#5222C2211yescharacteristic, complemented
96#5221C2211yescharacteristic, complemented
97#5220C2211yescharacteristic, complemented
98#5220C2211yescharacteristic, complemented
99#5212C2211yescharacteristic, complemented
100#5211C2211yescharacteristic, complemented
101#4994C2211yescharacteristic, complemented
102#4994C2211yescharacteristic, complemented
103#4992C2211yescharacteristic, complemented
104#4992C2211yescharacteristic, complemented
105#4991C2211yescharacteristic, complemented
106#4991C2211yescharacteristic, complemented
107#4990C2211yescharacteristic, complemented
108#4990C2211yescharacteristic, complemented
109#4990C2211yescharacteristic, complemented
110#4989C2211yescharacteristic, complemented
111#4989C2211yescharacteristic, complemented
112#4989C2211yescharacteristic, complemented
113#4989C2211yescharacteristic, complemented
114#4989C2211yescharacteristic, complemented
115#4988C2211yescharacteristic, complemented
116#4987C2211yescharacteristic, complemented
117#4987C2211yescharacteristic, complemented
118#4987C2211yescharacteristic, complemented
119#4961C2211yescharacteristic, complemented
120#4961C2211yescharacteristic, complemented
121#4961C2211yescharacteristic, complemented
122#4961C2211yescharacteristic, complemented
123#4961C2211yescharacteristic, complemented
124#4961C2211yescharacteristic, complemented
125#4959C2211yescharacteristic, complemented
126#4959C2211yescharacteristic, complemented
127#4959C2211yescharacteristic, complemented
128#4959C2211yescharacteristic, complemented
129#4958C2211yescharacteristic, complemented
130#4957C2211yescharacteristic, complemented
131#4957C2211yescharacteristic, complemented
132#4956C2211yescharacteristic, complemented
133#4956C2211yescharacteristic, complemented
134#4956C2211yescharacteristic, complemented
135#4956C2211yescharacteristic, complemented
136#4956C2211yescharacteristic, complemented
137#4956C2211yescharacteristic, complemented
138#4955C2211yescharacteristic
139#4955C2211yescharacteristic
140#4955C2211yescharacteristic
141#4955C2211yescharacteristic
142#4955C2211yescharacteristic
143#4955C2211yescharacteristic
144#4955C2211yescharacteristic
145#4955C2211yescharacteristic
146#4955C2211yescharacteristic, complemented
147#4955C2211yescharacteristic, complemented
148#4955C2211yescharacteristic, complemented
149#4955C2211yescharacteristic, complemented
150#4955C2211yescharacteristic, complemented
151#4955C2211yescharacteristic, complemented
152#4955C2211yescharacteristic, complemented
153#4955C2211yescharacteristic, complemented
154#4955C2211yescharacteristic, complemented
155#4953C2211yescharacteristic, complemented
156#4952C2211yescharacteristic, complemented
157#4951C2211yescharacteristic, complemented
158#4950C2211yescharacteristic, complemented
159#4949C2211yescharacteristic, complemented
160#4948C2211yescharacteristic, complemented
161#4948C2211yescharacteristic, complemented
162#4947C2211yescharacteristic, complemented
163#4945C2211yescharacteristic, complemented
164#4945C2211yescharacteristic, complemented
165#4945C2211yescharacteristic, complemented
166#4944C2211yescharacteristic, complemented
167#4944C2211yescharacteristic, complemented
168#4942C2211yescharacteristic, complemented
169Dic3×C22⋊C4C2211yescharacteristic, complemented
170#4940C2211yescharacteristic, complemented
171#4940C2211yescharacteristic, complemented
172C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
173C4×(C2×D3)⋊C4C2211yescharacteristic, complemented
174#4677C2211yescharacteristic, complemented
175#4675C2211yescharacteristic, complemented
176#4674C2211yescharacteristic, complemented
177#4673C2211yescharacteristic, complemented
178#4669C2211yescharacteristic, complemented
179#4668C2211yescharacteristic, complemented
180#4668C2211yescharacteristic, complemented
181#4668C2211yescharacteristic, complemented
182#4667C2211yescharacteristic, complemented
183#4666C2211yescharacteristic, complemented
184#4666C2211yescharacteristic, complemented
185#4665C2211yescharacteristic, complemented
186#4665C2211yescharacteristic, complemented
187#4665C2211yescharacteristic, complemented
188#4665C2211yescharacteristic, complemented
189#4664C2211yescharacteristic, complemented
190C2×#551—31no—
191C22×#120—31no—
192#2697—31no—
193#2685—31no—
194#2685—31no—
195#2684—31no—
196#2534—31no—
197#2534—31no—
198#2480—31no—
199#2480—31no—
200#2472—31no—
201#2472—31no—
202#2437—31no—
203#2437—31no—
204#2435—31no—
205#2418—31no—
206#2418—31no—
207#2412—31no—
208#2412—31no—
209#2411—31no—
210#2411D311yescharacteristic, complemented
211#2405—31no—
212#2405—31no—
213#2405—31no—
214#2358—31no—
215#2342—31no—
216#2342—31no—
217D4×C22⋊C4—31no—
218D4×C22⋊C4—31no—
219C2×#379—31no—
220C2×#379—31no—
221C25×C3C2311yescharacteristic
222C24×D3—24no—
223C24×D3—24no—
224C24×D3—24no—
225C24×D3—42no—
226C24×D3—42no—
227C24×D3—42no—
228C24×D3—42no—
229C24×D3C2311yescharacteristic
230C24×D3C2311yescharacteristic
231C24×D3C2311yescharacteristic
232C24×D3C2311yescharacteristic
233C24×D3C2311yescharacteristic
234C24×D3C2311yescharacteristic
235C24×D3C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C22×C3×D4C2311yescharacteristic
238C22×C3×D4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C22×#67C2311yescharacteristic
242C22×#67C2311yescharacteristic
243C22×#67C2311yescharacteristic
244C22×#67C2311yescharacteristic
245C22×#67C2311yescharacteristic
246C22×#67C2311yescharacteristic
247C23×Dic3C2311yescharacteristic
248C23×Dic3C2311yescharacteristic
249C2×D3×D4—24no—
250C2×D3×D4—24no—
251C2×D3×D4—24no—
252C2×D3×D4—24no—
253C2×D3×D4—24no—
254C2×D3×D4—42no—
255C2×D3×D4—42no—
256C2×D3×D4—42no—
257C2×D3×D4—42no—
258C22×D12C2311yescharacteristic
259C22×D12C2311yescharacteristic
260C22×D12C2311yescharacteristic
261C22×C4×D3C2311yescharacteristic
262C22×C4×D3C2311yescharacteristic
263C22×C4×D3C2311yescharacteristic
264C22×C4×D3C2311yescharacteristic
265C22×C4×D3C2311yescharacteristic
266C22×C4×D3C2311yescharacteristic
267C22×C4×D3C2311yescharacteristic
268C22×C4×D3C2311yescharacteristic, complemented
269C22×C4×D3C2311yescharacteristic, complemented
270C22×Dic6C2311yescharacteristic, complemented
271C3×#123—42no—
272C3×#120—24no—
273C3×#117—24no—
274C2×C3×C4⋊C4C2311yescharacteristic, complemented
275C2×C3×C4⋊C4C2311yescharacteristic, complemented
276C2×C3×C4⋊C4C2311yescharacteristic, complemented
277C2×C3×C4⋊C4C2311yescharacteristic, complemented
278C2×C3×C4⋊C4C2311yescharacteristic, complemented
279C2×C3×C4⋊C4C2311yescharacteristic, complemented
280C2×C3×C22⋊C4—42no—
281C2×C3×C22⋊C4C2311yescharacteristic
282C2×C3×C22⋊C4C2311yescharacteristic
283C2×C3×C22⋊C4C2311yescharacteristic
284C2×C3×C22⋊C4C2311yescharacteristic
285C2×C3×C22⋊C4C2311yescharacteristic
286C2×C3×C22⋊C4C2311yescharacteristic
287C2×C3×C22⋊C4C2311yescharacteristic
288C2×C3×C22⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4C2311yescharacteristic
290C2×C3×C22⋊C4C2311yescharacteristic
291C2×C3×C22⋊C4C2311yescharacteristic
292C2×C3×C22⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic, complemented
295C2×C3×C22⋊C4C2311yescharacteristic, complemented
296C2×C3×C22⋊C4C2311yescharacteristic, complemented
297C2×C3×C22⋊C4C2311yescharacteristic, complemented
298C2×C3×C42C2311yescharacteristic, complemented
299C2×C3×C42C2311yescharacteristic, complemented
300#953—24no—
301C2×#217—42no—
302C2×#217C2311yescharacteristic
303C2×#217C2311yescharacteristic
304C2×#217C2311yescharacteristic
305C2×#217C2311yescharacteristic
306C2×#217C2311yescharacteristic
307C2×#217C2311yescharacteristic
308C2×#217C2311yescharacteristic
309C2×#217C2311yescharacteristic
310C2×#217C2311yescharacteristic
311C2×#217C2311yescharacteristic
312C2×#217C2311yescharacteristic
313C2×#217C2311yescharacteristic
314C2×#217C2311yescharacteristic
315C2×#217C2311yescharacteristic, complemented
316C2×#217C2311yescharacteristic, complemented
317C2×#217C2311yescharacteristic, complemented
318C2×#217C2311yescharacteristic, complemented
319#937—24no—
320#937—24no—
321#937—24no—
322#936—42no—
323#929—24no—
324C4×#67—42no—
325C2×(C2×D3)⋊C4—24no—
326C2×(C2×D3)⋊C4—24no—
327C2×(C2×D3)⋊C4—42no—
328C2×(C2×D3)⋊C4—42no—
329C2×(C2×D3)⋊C4C2311yescharacteristic
330C2×(C2×D3)⋊C4C2311yescharacteristic
331C2×(C2×D3)⋊C4C2311yescharacteristic
332C2×(C2×D3)⋊C4C2311yescharacteristic
333C2×(C2×D3)⋊C4C2311yescharacteristic
334C2×(C2×D3)⋊C4C2311yescharacteristic
335C2×(C2×D3)⋊C4C2311yescharacteristic
336C2×(C2×D3)⋊C4C2311yescharacteristic
337C2×(C2×D3)⋊C4C2311yescharacteristic
338C2×(C2×D3)⋊C4C2311yescharacteristic
339C2×(C2×D3)⋊C4C2311yescharacteristic
340C2×(C2×D3)⋊C4C2311yescharacteristic
341C2×(C2×D3)⋊C4C2311yescharacteristic
342C2×(C2×D3)⋊C4C2311yescharacteristic
343C2×(C2×D3)⋊C4C2311yescharacteristic
344C2×(C2×D3)⋊C4C2311yescharacteristic
345C2×(C2×D3)⋊C4C2311yescharacteristic
346C2×(C2×D3)⋊C4C2311yescharacteristic
347C2×(C2×D3)⋊C4C2311yescharacteristic
348C2×(C2×D3)⋊C4C2311yescharacteristic
349C2×(C2×D3)⋊C4C2311yescharacteristic
350C2×(C2×D3)⋊C4C2311yescharacteristic
351C2×(C2×D3)⋊C4C2311yescharacteristic
352C2×(C2×D3)⋊C4C2311yescharacteristic
353C2×(C2×D3)⋊C4C2311yescharacteristic
354C2×(C2×D3)⋊C4C2311yescharacteristic
355C2×(C2×D3)⋊C4C2311yescharacteristic
356C2×(C2×D3)⋊C4C2311yescharacteristic
357C2×(C2×D3)⋊C4C2311yescharacteristic
358C2×(C2×D3)⋊C4C2311yescharacteristic
359C2×(C2×D3)⋊C4C2311yescharacteristic
360C2×(C2×D3)⋊C4C2311yescharacteristic
361C2×(C2×D3)⋊C4C2311yescharacteristic
362C2×(C2×D3)⋊C4C2311yescharacteristic
363C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
364C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
365C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
366C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
367C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
368C2×(C2×D3)⋊C4C2311yescharacteristic, complemented
369C2×C4⋊Dic3C2311yescharacteristic, complemented
370C2×C4⋊Dic3C2311yescharacteristic, complemented
371C2×C4⋊Dic3C2311yescharacteristic, complemented
372C2×C4⋊Dic3C2311yescharacteristic, complemented
373C2×C4⋊Dic3C2311yescharacteristic, complemented
374C2×Dic3⋊C4C2311yescharacteristic, complemented
375C2×Dic3⋊C4C2311yescharacteristic, complemented
376C2×Dic3⋊C4C2311yescharacteristic, complemented
377C2×Dic3⋊C4C2311yescharacteristic, complemented
378C2×Dic3⋊C4C2311yescharacteristic, complemented
379C2×Dic3⋊C4C2311yescharacteristic, complemented
380C2×Dic3⋊C4C2311yescharacteristic, complemented
381C2×Dic3⋊C4C2311yescharacteristic, complemented
382C2×C4×Dic3C2311yescharacteristic, complemented
383C2×C4×Dic3C2311yescharacteristic, complemented
384C2×C4×Dic3C2311yescharacteristic, complemented
385C2×C4×Dic3C2311yescharacteristic, complemented
386#898—24no—
387#897—42no—
388#896—24no—
389#894—24no—
390#894—24no—
391#893—42no—
392#883—42no—
393#883—42no—
394#882—24no—
395#882—24no—
396#882D418yes—
397#67⋊C4—24no—
398D3×C22⋊C4—24no—
399D3×C22⋊C4—24no—
400D3×C22⋊C4—24no—
401D3×C22⋊C4—24no—
402D3×C22⋊C4—24no—
403D3×C22⋊C4—42no—
404D3×C22⋊C4—42no—
405D3×C22⋊C4—42no—
406D3×C22⋊C4—42no—
407D3×C22⋊C4—42no—
408#878—24no—
409#876—24no—
410#875—24no—
411C4×D12—24no—
412#872—24no—
413C3×#95C2311yescharacteristic, complemented
414C3×#95C2311yescharacteristic, complemented
415C3×#95C2311yescharacteristic, complemented
416C3×#95C2311yescharacteristic, complemented
417C3⋊#95C2311yescharacteristic, complemented
418C3⋊#95C2311yescharacteristic, complemented
419C3⋊#95C2311yescharacteristic, complemented
420C3⋊#95C2311yescharacteristic, complemented
421C3⋊#95C2311yescharacteristic, complemented
422C3⋊#95C2311yescharacteristic, complemented
423C3⋊#95C2311yescharacteristic, complemented
424C3⋊#95C2311yescharacteristic, complemented
425C3⋊#95C2311yescharacteristic, complemented
426C3⋊#95C2311yescharacteristic, complemented
427C3⋊#95C2311yescharacteristic, complemented
428C3⋊#95C2311yescharacteristic, complemented
429C3⋊#95C2311yescharacteristic, complemented
430C3⋊#95C2311yescharacteristic, complemented
431C3⋊#95C2311yescharacteristic, complemented
432C3⋊#95C2311yescharacteristic, complemented
433C3⋊#95C2311yescharacteristic, complemented
434C3⋊#95C2311yescharacteristic, complemented
435C26—31no—
436C23×D4—31no—
437C23×D4—31no—
438C23×D4—31no—
439#551—68no—
440C2×#126—31no—
441C2×#126—31no—
442C2×#124—31no—
443C2×#124—31no—
444C2×#123—31no—
445C2×#123—31no—
446C2×#123—31no—
447C2×#123—31no—
448C2×#123—31no—
449C2×#123C2×D311yescharacteristic, complemented
450C2×C22⋊Q8—31no—
451C2×C22⋊Q8—31no—
452C2×C22⋊Q8—31no—
453C2×#120—31no—
454C2×#120—31no—
455C2×#120—31no—
456C2×#120—31no—
457C2×#120—31no—
458C2×#120—31no—
459C2×#120—31no—
460C2×#120—68no—
461C2×#120C2×D311yescharacteristic
462C2×C4×D4—31no—
463C2×C4×D4—31no—
464C2×C4×D4—31no—
465C2×C4×D4—31no—
466C2×#117—31no—
467C2×#117C2×D311yescharacteristic, complemented
468C22×C22⋊C4—31no—
469C22×C22⋊C4—31no—
470C22×C22⋊C4—31no—
471C22×C22⋊C4—31no—
472C22×C22⋊C4—31no—
473C22×C22⋊C4—31no—
474C22×C22⋊C4—31no—
475C22×C22⋊C4—31no—
476C22×C22⋊C4—31no—
477C22×C22⋊C4—31no—
478C22×C22⋊C4—31no—
479C22×C22⋊C4—31no—
480C22×C22⋊C4—31no—
481C22×C22⋊C4—31no—
482C22×C22⋊C4—31no—
483C22×C22⋊C4C2×D311yescharacteristic, complemented
484#399—31no—
485#399—31no—
486#397—31no—
487#397—31no—
488#397—31no—
489#397—31no—
490#397—31no—
491#397—31no—
492#396—31no—
493#396—31no—
494#396—31no—
495#396—31no—
496#396C2×D311yescharacteristic, complemented
497#396C2×D311yescharacteristic, complemented
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#394C2×D311yescharacteristic, complemented
513#394C2×D311yescharacteristic, complemented
514#393—31no—
515#393—31no—
516#390—31no—
517#390—31no—
518#390—31no—
519#390—31no—
520#390C2×D311yescharacteristic, complemented
521#390C2×D311yescharacteristic, complemented
522#388—31no—
523#388—31no—
524#388—31no—
525#388—31no—
526#388—31no—
527#388—31no—
528#388—31no—
529#388—31no—
530#388—31no—
531#388—31no—
532#388—31no—
533#388—31no—
534#388C2×D311yescharacteristic, complemented
535#388C2×D311yescharacteristic, complemented
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#386C2×D311yescharacteristic, complemented
550#385—31no—
551#385—31no—
552#385—31no—
553#385—31no—
554#385—31no—
555#385—31no—
556#385—31no—
557#385—31no—
558#385—31no—
559#385C2×D311yescharacteristic, complemented
560#381—31no—
561#381—31no—
562#380—31no—
563#380—31no—
564#380—31no—
565#380—31no—
566#380—31no—
567#380—31no—
568#379—31no—
569#379—31no—
570#379—31no—
571#379—31no—
572#379—31no—
573#379—31no—
574#379—31no—
575#379—31no—
576#379—31no—
577#379—31no—
578#379—31no—
579#379—31no—
580#379—31no—
581#379—31no—
582#379—31no—
583#379—31no—
584#379—31no—
585#379—31no—
586#379C2×D311yescharacteristic, complemented
587C4×C22⋊C4—31no—
588C4×C22⋊C4—31no—
589C4×C22⋊C4—31no—
590C4×C22⋊C4—31no—
591C4×C22⋊C4—31no—
592C24×C3—22no—
593C24×C3—22no—
594C24×C3—22no—
595C24×C3—22no—
596C24×C3—22no—
597C24×C3—41no—
598C24×C3—41no—
599C24×C3C2411yescharacteristic
600C24×C3C2411yescharacteristic
601C24×C3C2411yescharacteristic
602C24×C3C2411yescharacteristic
603C23×D3—22no—
604C23×D3—22no—
605C23×D3—22no—
606C23×D3—22no—
607C23×D3—22no—
608C23×D3—22no—
609C23×D3—22no—
610C23×D3—22no—
611C23×D3—22no—
612C23×D3—22no—
613C23×D3—22no—
614C23×D3—22no—
615C23×D3—22no—
616C23×D3—22no—
617C23×D3—22no—
618C23×D3—22no—
619C23×D3—22no—
620C23×D3—22no—
621C23×D3—22no—
622C23×D3—22no—
623C23×D3—22no—
624C23×D3—22no—
625C23×D3—22no—
626C23×D3—22no—
627C23×D3—22no—
628C23×D3—22no—
629C23×D3—22no—
630C23×D3—22no—
631C23×D3—22no—
632C23×D3—41no—
633C23×D3—41no—
634C23×D3—41no—
635C23×D3—41no—
636C23×D3—41no—
637C23×D3—41no—
638C23×D3—41no—
639C23×D3—41no—
640C23×D3—41no—
641C23×D3—41no—
642C23×D3—41no—
643C23×D3—41no—
644C23×D3—41no—
645C23×D3—41no—
646C23×D3—416no—
647C23×D3—416no—
648C23×D3—416no—
649C23×D3—41no—
650C23×D3—41no—
651C23×D3—41no—
652C23×D3—416no—
653C23×D3—416no—
654C23×D3—416no—
655C23×D3—416no—
656C23×D3C2×D414yes—
657C23×D3#4114yes—
658C23×D3#4114yes—
659C23×D3C2411yescharacteristic
660C23×D3C2411yescharacteristic
661C23×D3C2411yescharacteristic
662C23×D3C2411yescharacteristic
663C23×D3C2411yescharacteristic
664C2×C3×D4—22no—
665C2×C3×D4—22no—
666C2×C3×D4—22no—
667C2×C3×D4—22no—
668C2×C3×D4—22no—
669C2×C3×D4—22no—
670C2×C3×D4—22no—
671C2×C3×D4—41no—
672C2×C3×D4—41no—
673C22×C3×C4—22no—
674C22×C3×C4—22no—
675C22×C3×C4—22no—
676C22×C3×C4—22no—
677C22×C3×C4—41no—
678C22×C3×C4—41no—
679C22×C3×C4C2411yescharacteristic
680C22×C3×C4C2411yescharacteristic
681C22×C3×C4C2411yescharacteristic
682C22×C3×C4C2411yescharacteristic
683C22×C3×C4C2411yescharacteristic
684C22×C3×C4C2411yescharacteristic
685C22×C3×C4C2411yescharacteristic
686C22×C3×C4C2411yescharacteristic
687C22×C3×C4C2411yescharacteristic
688C22×C3×C4C2411yescharacteristic
689C22×C3×C4C2411yescharacteristic
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—41no—
703C2×#67—41no—
704C2×#67—41no—
705C2×#67—41no—
706C2×#67—41no—
707C2×#67C2×D414yes—
708C22×Dic3—22no—
709C22×Dic3—22no—
710C22×Dic3—41no—
711C22×Dic3—41no—
712C22×Dic3—41no—
713C22×Dic3—41no—
714C22×Dic3C2411yescharacteristic
715C22×Dic3C2411yescharacteristic
716C22×Dic3C2411yescharacteristic
717C22×Dic3C2411yescharacteristic
718C22×Dic3C2411yescharacteristic
719C22×Dic3C2411yescharacteristic
720C22×Dic3C2411yescharacteristic
721C22×Dic3C2411yescharacteristic
722C22×Dic3C2411yescharacteristic
723C22×Dic3C2411yescharacteristic
724C22×Dic3C2411yescharacteristic
725D3×D4—416no—
726D3×D4—416no—
727D3×D4—416no—
728C2×D12—22no—
729C2×D12—22no—
730C2×D12—22no—
731C2×D12—22no—
732C2×D12—41no—
733C2×D12—41no—
734C2×D12—41no—
735C2×D12C2×D414yes—
736C2×D12C2×D414yes—
737C2×C4×D3—22no—
738C2×C4×D3—22no—
739C2×C4×D3—22no—
740C2×C4×D3—22no—
741C2×C4×D3—22no—
742C2×C4×D3—22no—
743C2×C4×D3—22no—
744C2×C4×D3—22no—
745C2×C4×D3—22no—
746C2×C4×D3—22no—
747C2×C4×D3—22no—
748C2×C4×D3—22no—
749C2×C4×D3—22no—
750C2×C4×D3—41no—
751C2×C4×D3—41no—
752C2×C4×D3—41no—
753C2×C4×D3—41no—
754C2×C4×D3—41no—
755C2×C4×D3—41no—
756C2×C4×D3—41no—
757C2×C4×D3—41no—
758C2×C4×D3—41no—
759C2×C4×D3—41no—
760C2×C4×D3—41no—
761C2×C4×D3—41no—
762C2×C4×D3—41no—
763C2×C4×D3—41no—
764C2×Dic6—22no—
765C2×Dic6—41no—
766C2×Dic6—41no—
767C3×C4⋊C4—22no—
768C3×C4⋊C4—22no—
769C3×C4⋊C4—41no—
770C3×C4⋊C4—41no—
771C3×C4⋊C4—41no—
772C3×C4⋊C4—41no—
773C3×C22⋊C4—22no—
774C3×C22⋊C4—22no—
775C3×C22⋊C4—22no—
776C3×C22⋊C4—22no—
777C3×C22⋊C4—22no—
778C3×C22⋊C4—22no—
779C3×C22⋊C4—41no—
780C3×C22⋊C4—41no—
781C3×C22⋊C4—41no—
782C3×C22⋊C4—41no—
783C3×C22⋊C4—41no—
784C3×C22⋊C4—41no—
785C3×C22⋊C4—41no—
786C3×C22⋊C4—41no—
787C3×C22⋊C4—41no—
788C3×C22⋊C4—41no—
789C3×C22⋊C4C2×D414yes—
790C3×C42—22no—
791C3×C42—22no—
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—41no—
802#217—41no—
803#217—41no—
804#217—41no—
805#217—41no—
806#217—41no—
807#217—41no—
808#217—41no—
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—22no—
817(C2×D3)⋊C4—22no—
818(C2×D3)⋊C4—22no—
819(C2×D3)⋊C4—22no—
820(C2×D3)⋊C4—22no—
821(C2×D3)⋊C4—22no—
822(C2×D3)⋊C4—22no—
823(C2×D3)⋊C4—22no—
824(C2×D3)⋊C4—22no—
825(C2×D3)⋊C4—22no—
826(C2×D3)⋊C4—22no—
827(C2×D3)⋊C4—22no—
828(C2×D3)⋊C4—22no—
829(C2×D3)⋊C4—22no—
830(C2×D3)⋊C4—22no—
831(C2×D3)⋊C4—22no—
832(C2×D3)⋊C4—22no—
833(C2×D3)⋊C4—22no—
834(C2×D3)⋊C4—41no—
835(C2×D3)⋊C4—41no—
836(C2×D3)⋊C4—41no—
837(C2×D3)⋊C4—41no—
838(C2×D3)⋊C4—41no—
839(C2×D3)⋊C4—41no—
840(C2×D3)⋊C4—41no—
841(C2×D3)⋊C4—41no—
842(C2×D3)⋊C4—41no—
843(C2×D3)⋊C4—41no—
844(C2×D3)⋊C4—41no—
845(C2×D3)⋊C4—41no—
846(C2×D3)⋊C4—41no—
847(C2×D3)⋊C4C2×D414yes—
848(C2×D3)⋊C4C2×D414yes—
849C4⋊Dic3—22no—
850C4⋊Dic3—41no—
851C4⋊Dic3—41no—
852C4⋊Dic3—41no—
853C4⋊Dic3—41no—
854Dic3⋊C4—22no—
855Dic3⋊C4—22no—
856Dic3⋊C4—22no—
857Dic3⋊C4—22no—
858Dic3⋊C4—22no—
859Dic3⋊C4—41no—
860Dic3⋊C4—41no—
861Dic3⋊C4—41no—
862C4×Dic3—22no—
863C4×Dic3—41no—
864C4×Dic3—41no—
865C4×Dic3—41no—
866C25—31no—
867C25—31no—
868C25—31no—
869C25—31no—
870C25—31no—
871C25—31no—
872C25—31no—
873C25—64no—
874C25—64no—
875C25—64no—
876C25—122no—
877C25—122no—
878C25—122no—
879C25—122no—
880C25C22×D311yescharacteristic
881C22×Q8—31no—
882C22×D4—31no—
883C22×D4—31no—
884C22×D4—31no—
885C22×D4—31no—
886C22×D4—31no—
887C22×D4—31no—
888C22×D4—31no—
889C22×D4—31no—
890C22×D4—31no—
891C22×D4—64no—
892C22×D4—64no—
893C22×D4—64no—
894C22×D4—64no—
895C22×D4—64no—
896C22×D4—122no—
897C22×D4—122no—
898C22×D4—122no—
899C22×D4—122no—
900C22×D4C22×D311yescharacteristic
901C22×D4C22×D311yescharacteristic
902C22×D4C22×D311yescharacteristic
903C23×C4—31no—
904C23×C4—31no—
905C23×C4—31no—
906C23×C4—31no—
907C23×C4—31no—
908C23×C4—31no—
909C23×C4—31no—
910C23×C4—31no—
911C23×C4—31no—
912C23×C4—31no—
913C23×C4—31no—
914C23×C4C22×D311yescharacteristic
915C23×C4C22×D311yescharacteristic
916#126—64no—
917#126—64no—
918#124—64no—
919#124—122no—
920#123—42no—
921#123—64no—
922#123—64no—
923#123—64no—
924#123—122no—
925#123—122no—
926C22⋊Q8—64no—
927C22⋊Q8—64no—
928C22⋊Q8—122no—
929#120—24no—
930#120—38no—
931#120—64no—
932#120—64no—
933#120—64no—
934#120—64no—
935#120—64no—
936#120—64no—
937C4×D4—64no—
938C4×D4—64no—
939C4×D4—122no—
940C4×D4—122no—
941#117—24no—
942#117—64no—
943C2×C4⋊C4—31no—
944C2×C4⋊C4—31no—
945C2×C4⋊C4—31no—
946C2×C4⋊C4—31no—
947C2×C4⋊C4—31no—
948C2×C4⋊C4—31no—
949C2×C4⋊C4—31no—
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⋊C4C22×D311yescharacteristic, complemented
957C2×C4⋊C4C22×D311yescharacteristic, complemented
958C2×C4⋊C4C22×D311yescharacteristic, complemented
959C2×C4⋊C4C22×D311yescharacteristic, complemented
960C2×C4⋊C4C22×D311yescharacteristic, complemented
961C2×C4⋊C4C22×D311yescharacteristic, complemented
962C2×C22⋊C4—31no—
963C2×C22⋊C4—31no—
964C2×C22⋊C4—31no—
965C2×C22⋊C4—31no—
966C2×C22⋊C4—31no—
967C2×C22⋊C4—31no—
968C2×C22⋊C4—31no—
969C2×C22⋊C4—31no—
970C2×C22⋊C4—31no—
971C2×C22⋊C4—31no—
972C2×C22⋊C4—31no—
973C2×C22⋊C4—31no—
974C2×C22⋊C4—31no—
975C2×C22⋊C4—31no—
976C2×C22⋊C4—31no—
977C2×C22⋊C4—31no—
978C2×C22⋊C4—31no—
979C2×C22⋊C4—31no—
980C2×C22⋊C4—31no—
981C2×C22⋊C4—31no—
982C2×C22⋊C4—31no—
983C2×C22⋊C4—31no—
984C2×C22⋊C4—31no—
985C2×C22⋊C4—31no—
986C2×C22⋊C4—31no—
987C2×C22⋊C4—31no—
988C2×C22⋊C4—31no—
989C2×C22⋊C4—31no—
990C2×C22⋊C4—31no—
991C2×C22⋊C4—31no—
992C2×C22⋊C4—31no—
993C2×C22⋊C4—31no—
994C2×C22⋊C4—31no—
995C2×C22⋊C4—31no—
996C2×C22⋊C4—31no—
997C2×C22⋊C4—31no—
998C2×C22⋊C4—31no—
999C2×C22⋊C4—31no—
1000C2×C22⋊C4—31no—
1001C2×C22⋊C4—31no—
1002C2×C22⋊C4—31no—
1003C2×C22⋊C4—31no—
1004C2×C22⋊C4—31no—
1005C2×C22⋊C4—31no—
1006C2×C22⋊C4—31no—
1007C2×C22⋊C4—31no—
1008C2×C22⋊C4—31no—
1009C2×C22⋊C4—31no—
1010C2×C22⋊C4—31no—
1011C2×C22⋊C4—31no—
1012C2×C22⋊C4—31no—
1013C2×C22⋊C4—31no—
1014C2×C22⋊C4—31no—
1015C2×C22⋊C4—31no—
1016C2×C22⋊C4—31no—
1017C2×C22⋊C4—31no—
1018C2×C22⋊C4—31no—
1019C2×C22⋊C4—42no—
1020C2×C22⋊C4—64no—
1021C2×C22⋊C4—64no—
1022C2×C22⋊C4—64no—
1023C2×C22⋊C4—64no—
1024C2×C22⋊C4—64no—
1025C2×C22⋊C4—64no—
1026C2×C22⋊C4—64no—
1027C2×C22⋊C4—122no—
1028C2×C22⋊C4—122no—
1029C2×C22⋊C4—122no—
1030C2×C22⋊C4—122no—
1031C2×C22⋊C4—122no—
1032C2×C22⋊C4—122no—
1033C2×C22⋊C4—122no—
1034C2×C22⋊C4—122no—
1035C2×C22⋊C4C22×D311yescharacteristic
1036C2×C22⋊C4C22×D311yescharacteristic
1037C2×C22⋊C4C22×D311yescharacteristic
1038C2×C22⋊C4C22×D311yescharacteristic
1039C2×C22⋊C4C22×D311yescharacteristic
1040C2×C22⋊C4C22×D311yescharacteristic
1041C2×C22⋊C4C22×D311yescharacteristic
1042C2×C22⋊C4C22×D311yescharacteristic
1043C2×C22⋊C4C22×D311yescharacteristic
1044C2×C22⋊C4C22×D311yescharacteristic
1045C2×C22⋊C4C22×D311yescharacteristic
1046C2×C22⋊C4C22×D311yescharacteristic
1047C2×C22⋊C4C22×D311yescharacteristic
1048C2×C22⋊C4C22×D311yescharacteristic, complemented
1049C2×C22⋊C4C22×D311yescharacteristic, complemented
1050C2×C22⋊C4C22×D311yescharacteristic, complemented
1051C2×C22⋊C4C22×D311yescharacteristic, complemented
1052C2×C42—31no—
1053C2×C42—31no—
1054C2×C42—31no—
1055C2×C42—31no—
1056C2×C42C22×D311yescharacteristic, complemented
1057C2×C42C22×D311yescharacteristic, complemented
1058#95—31no—
1059#95—31no—
1060#95—31no—
1061#95—31no—
1062#95—31no—
1063#95—31no—
1064#95—31no—
1065#95—31no—
1066#95—31no—
1067#95—31no—
1068#95—31no—
1069#95—31no—
1070#95—31no—
1071#95—31no—
1072#95—31no—
1073#95—31no—
1074#95—31no—
1075#95—31no—
1076#95C22×D311yescharacteristic, complemented
1077#95C22×D311yescharacteristic, complemented
1078#95C22×D311yescharacteristic, complemented
1079#95C22×D311yescharacteristic, complemented
1080C23×C3—21no—
1081C23×C3—21no—
1082C23×C3—21no—
1083C23×C3—21no—
1084C23×C3—28no—
1085C23×C3—21no—
1086C23×C3—21no—
1087C23×C3—21no—
1088C23×C3—21no—
1089C23×C3—21no—
1090C23×C3—21no—
1091C23×C3—21no—
1092C23×C3—21no—
1093C23×C3—21no—
1094C23×C3—21no—
1095C23×C3—21no—
1096C23×C3—21no—
1097C23×C3—21no—
1098C23×C3—21no—
1099C23×C3—21no—
1100C23×C3—21no—
1101C23×C3—21no—
1102C23×C3—21no—
1103C23×C3—21no—
1104C23×C3—44no—
1105C23×C3—44no—
1106C23×C3—44no—
1107C23×C3—44no—
1108C23×C3—44no—
1109C23×C3—44no—
1110C23×C3C22×D412yes—
1111C23×C3C2×#4112yes—
1112C23×C3C2×#4112yes—
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—28no—
1125C22×D3—28no—
1126C22×D3—28no—
1127C22×D3—28no—
1128C22×D3—21no—
1129C22×D3—21no—
1130C22×D3—21no—
1131C22×D3—21no—
1132C22×D3—21no—
1133C22×D3—21no—
1134C22×D3—21no—
1135C22×D3—21no—
1136C22×D3—21no—
1137C22×D3—21no—
1138C22×D3—21no—
1139C22×D3—21no—
1140C22×D3—21no—
1141C22×D3—21no—
1142C22×D3—21no—
1143C22×D3—21no—
1144C22×D3—21no—
1145C22×D3—21no—
1146C22×D3—28no—
1147C22×D3—28no—
1148C22×D3—28no—
1149C22×D3—28no—
1150C22×D3—44no—
1151C22×D3—44no—
1152C22×D3—44no—
1153C22×D3—44no—
1154C22×D3—44no—
1155C22×D3—44no—
1156C22×D3—44no—
1157C22×D3—44no—
1158C22×D3—44no—
1159C22×D3—44no—
1160C22×D3—44no—
1161C22×D3—44no—
1162C22×D3—44no—
1163C22×D3—44no—
1164C22×D3—44no—
1165C22×D3—44no—
1166C22×D3—44no—
1167C22×D3—44no—
1168C22×D3—44no—
1169C22×D3—44no—
1170C22×D3—44no—
1171C22×D3—44no—
1172C22×D3—44no—
1173C22×D3—44no—
1174C22×D3—44no—
1175C22×D3—44no—
1176C22×D3—44no—
1177C22×D3—44no—
1178C22×D3—44no—
1179C22×D3—44no—
1180C22×D3—44no—
1181C22×D3—44no—
1182C22×D3—44no—
1183C22×D3—44no—
1184C22×D3—4128no—
1185C22×D3—44no—
1186C22×D3—44no—
1187C22×D3—44no—
1188C22×D3—44no—
1189C22×D3—82no—
1190C22×D3—82no—
1191C22×D3—82no—
1192C22×D3C22×D412yes—
1193C22×D3C22×D412yes—
1194C22×D3C22×D412yes—
1195C22×D3C2×#4112yes—
1196C22×D3C2×#4112yes—
1197C22×D3C2×#4112yes—
1198C22×D3C2×#4112yes—
1199C22×D3H(5,𝔽2)12yes—
1200C22×D3H(5,𝔽2)12yes—
1201C3×D4—44no—
1202C3×D4—44no—
1203C3×D4—44no—
1204C2×C3×C4—21no—
1205C2×C3×C4—21no—
1206C2×C3×C4—21no—
1207C2×C3×C4—21no—
1208C2×C3×C4—21no—
1209C2×C3×C4—21no—
1210C2×C3×C4—21no—
1211C2×C3×C4—21no—
1212C2×C3×C4—21no—
1213C2×C3×C4—21no—
1214C2×C3×C4—21no—
1215C2×C3×C4—21no—
1216C2×C3×C4—21no—
1217C2×C3×C4—21no—
1218C2×C3×C4—21no—
1219C2×C3×C4—21no—
1220C2×C3×C4—21no—
1221C2×C3×C4—21no—
1222C2×C3×C4—21no—
1223C2×C3×C4—21no—
1224C2×C3×C4—21no—
1225C2×C3×C4—21no—
1226C2×C3×C4—21no—
1227C2×C3×C4—21no—
1228C2×C3×C4—21no—
1229C2×C3×C4—21no—
1230C2×C3×C4—21no—
1231C2×C3×C4—21no—
1232C2×C3×C4—21no—
1233C2×C3×C4—21no—
1234C2×C3×C4—21no—
1235C2×C3×C4—44no—
1236C2×C3×C4—82no—
1237C2×C3×C4C22×D412yes—
1238C2×C3×C4C22×D412yes—
1239#67—28no—
1240#67—44no—
1241#67—44no—
1242#67—44no—
1243#67—44no—
1244#67—44no—
1245C2×Dic3—21no—
1246C2×Dic3—21no—
1247C2×Dic3—21no—
1248C2×Dic3—21no—
1249C2×Dic3—21no—
1250C2×Dic3—21no—
1251C2×Dic3—21no—
1252C2×Dic3—21no—
1253C2×Dic3—21no—
1254C2×Dic3—21no—
1255C2×Dic3—21no—
1256C2×Dic3—21no—
1257C2×Dic3—21no—
1258C2×Dic3—21no—
1259C2×Dic3—21no—
1260C2×Dic3—21no—
1261C2×Dic3—21no—
1262C2×Dic3—21no—
1263C2×Dic3—21no—
1264C2×Dic3—21no—
1265C2×Dic3—21no—
1266C2×Dic3—21no—
1267C2×Dic3—21no—
1268C2×Dic3—21no—
1269C2×Dic3—21no—
1270C2×Dic3—21no—
1271C2×Dic3—21no—
1272C2×Dic3—21no—
1273C2×Dic3—21no—
1274C2×Dic3—21no—
1275C2×Dic3—21no—
1276C2×Dic3—21no—
1277C2×Dic3—82no—
1278C2×Dic3—82no—
1279C2×Dic3C22×D412yes—
1280D12—28no—
1281D12—44no—
1282D12—44no—
1283C4×D3—44no—
1284C4×D3—44no—
1285C4×D3—44no—
1286C4×D3—44no—
1287C4×D3—82no—
1288C4×D3—82no—
1289C4×D3—82no—
1290C4×D3—82no—
1291C4×D3—82no—
1292Dic6—82no—
1293C24—22no—
1294C24—22no—
1295C24—22no—
1296C24—22no—
1297C24—22no—
1298C24—31no—
1299C24—31no—
1300C24—31no—
1301C24—31no—
1302C24—31no—
1303C24—34no—
1304C24—34no—
1305C24—34no—
1306C24—41no—
1307C24—41no—
1308C24—62no—
1309C24—62no—
1310C24—62no—
1311C24—62no—
1312C24—62no—
1313C24—62no—
1314C24—62no—
1315C24—62no—
1316C24—62no—
1317C24—62no—
1318C24—62no—
1319C24—62no—
1320C24—62no—
1321C24—62no—
1322C24—62no—
1323C24—62no—
1324C24—62no—
1325C24—62no—
1326C24—62no—
1327C24—62no—
1328C24—62no—
1329C24—62no—
1330C24—62no—
1331C24—62no—
1332C24—62no—
1333C24—62no—
1334C24—62no—
1335C24—62no—
1336C24—62no—
1337C24—121no—
1338C24—121no—
1339C24—121no—
1340C24—121no—
1341C24—121no—
1342C24—121no—
1343C24—121no—
1344C24—121no—
1345C24—121no—
1346C24—121no—
1347C24—121no—
1348C24—121no—
1349C24—121no—
1350C24—121no—
1351C24—121no—
1352C24—121no—
1353C24—121no—
1354C24—1216no—
1355C24—1216no—
1356C24—1216no—
1357C24—1216no—
1358C24—1216no—
1359C24—1216no—
1360C24—1216no—
1361C24C23×D311yescharacteristic
1362C24C23×D311yescharacteristic
1363C24C23×D311yescharacteristic
1364C24C23×D311yescharacteristic
1365C2×Q8—62no—
1366C2×Q8—121no—
1367C2×Q8—121no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—34no—
1376C2×D4—34no—
1377C2×D4—34no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—62no—
1381C2×D4—62no—
1382C2×D4—62no—
1383C2×D4—62no—
1384C2×D4—62no—
1385C2×D4—62no—
1386C2×D4—62no—
1387C2×D4—62no—
1388C2×D4—62no—
1389C2×D4—62no—
1390C2×D4—62no—
1391C2×D4—62no—
1392C2×D4—62no—
1393C2×D4—62no—
1394C2×D4—62no—
1395C2×D4—62no—
1396C2×D4—121no—
1397C2×D4—121no—
1398C2×D4—121no—
1399C2×D4—121no—
1400C2×D4—121no—
1401C2×D4—121no—
1402C2×D4—121no—
1403C2×D4—121no—
1404C2×D4—1216no—
1405C2×D4—1216no—
1406C2×D4—1216no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—31no—
1412C22×C4—31no—
1413C22×C4—31no—
1414C22×C4—31no—
1415C22×C4—31no—
1416C22×C4—31no—
1417C22×C4—31no—
1418C22×C4—31no—
1419C22×C4—31no—
1420C22×C4—31no—
1421C22×C4—31no—
1422C22×C4—41no—
1423C22×C4—41no—
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—62no—
1435C22×C4—62no—
1436C22×C4—62no—
1437C22×C4—62no—
1438C22×C4—62no—
1439C22×C4—121no—
1440C22×C4—121no—
1441C22×C4—121no—
1442C22×C4—121no—
1443C22×C4—121no—
1444C22×C4—121no—
1445C22×C4—121no—
1446C22×C4—121no—
1447C22×C4—121no—
1448C22×C4—121no—
1449C22×C4—121no—
1450C22×C4—121no—
1451C22×C4—121no—
1452C22×C4—121no—
1453C22×C4—121no—
1454C22×C4—121no—
1455C22×C4—121no—
1456C22×C4—121no—
1457C22×C4C23×D311yescharacteristic
1458C22×C4C23×D311yescharacteristic
1459C22×C4C23×D311yescharacteristic
1460C22×C4C23×D311yescharacteristic
1461C22×C4C23×D311yescharacteristic
1462C22×C4C23×D311yescharacteristic
1463C22×C4C23×D311yescharacteristic
1464C22×C4C23×D311yescharacteristic
1465C22×C4C23×D311yescharacteristic
1466C22×C4C23×D311yescharacteristic
1467C22×C4C23×D311yescharacteristic
1468C4⋊C4—22no—
1469C4⋊C4—22no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—62no—
1475C4⋊C4—62no—
1476C4⋊C4—62no—
1477C4⋊C4—62no—
1478C4⋊C4—62no—
1479C4⋊C4—62no—
1480C4⋊C4—121no—
1481C4⋊C4—121no—
1482C4⋊C4—121no—
1483C4⋊C4—121no—
1484C4⋊C4—121no—
1485C4⋊C4—121no—
1486C4⋊C4—121no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—34no—
1494C22⋊C4—34no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—62no—
1506C22⋊C4—62no—
1507C22⋊C4—62no—
1508C22⋊C4—62no—
1509C22⋊C4—62no—
1510C22⋊C4—62no—
1511C22⋊C4—62no—
1512C22⋊C4—62no—
1513C22⋊C4—62no—
1514C22⋊C4—62no—
1515C22⋊C4—62no—
1516C22⋊C4—62no—
1517C22⋊C4—62no—
1518C22⋊C4—62no—
1519C22⋊C4—62no—
1520C22⋊C4—62no—
1521C22⋊C4—62no—
1522C22⋊C4—62no—
1523C22⋊C4—62no—
1524C22⋊C4—62no—
1525C22⋊C4—62no—
1526C22⋊C4—62no—
1527C22⋊C4—62no—
1528C22⋊C4—62no—
1529C22⋊C4—62no—
1530C22⋊C4—62no—
1531C22⋊C4—62no—
1532C22⋊C4—62no—
1533C22⋊C4—62no—
1534C22⋊C4—62no—
1535C22⋊C4—62no—
1536C22⋊C4—62no—
1537C22⋊C4—62no—
1538C22⋊C4—62no—
1539C22⋊C4—121no—
1540C22⋊C4—121no—
1541C22⋊C4—121no—
1542C22⋊C4—121no—
1543C22⋊C4—121no—
1544C22⋊C4—121no—
1545C22⋊C4—121no—
1546C22⋊C4—121no—
1547C22⋊C4—121no—
1548C22⋊C4—121no—
1549C22⋊C4—121no—
1550C22⋊C4—121no—
1551C22⋊C4—121no—
1552C22⋊C4—121no—
1553C22⋊C4—121no—
1554C22⋊C4—121no—
1555C22⋊C4—121no—
1556C22⋊C4—121no—
1557C22⋊C4—121no—
1558C22⋊C4—121no—
1559C22⋊C4—121no—
1560C22⋊C4D3×D414yes—
1561C42—22no—
1562C42—22no—
1563C42—62no—
1564C42—121no—
1565C42—121no—
1566C42—121no—
1567C22×C3—22no—
1568C22×C3—22no—
1569C22×C3—22no—
1570C22×C3—22no—
1571C22×C3—22no—
1572C22×C3—22no—
1573C22×C3—22no—
1574C22×C3—22no—
1575C22×C3—22no—
1576C22×C3—22no—
1577C22×C3—22no—
1578C22×C3—22no—
1579C22×C3—416no—
1580C22×C3—41no—
1581C22×C3—41no—
1582C22×C3—41no—
1583C22×C3—41no—
1584C22×C3—41no—
1585C22×C3—41no—
1586C22×C3—41no—
1587C22×C3—41no—
1588C22×C3—41no—
1589C22×C3—41no—
1590C22×C3—41no—
1591C22×C3—41no—
1592C22×C3—41no—
1593C22×C3—41no—
1594C22×C3—41no—
1595C22×C3#54614yes—
1596C22×C3C23×D411yescharacteristic
1597C22×C3C22×#4111yescharacteristic
1598C22×C3C22×#4111yescharacteristic
1599C22×C3C2×H(5,𝔽2)11yescharacteristic
1600C22×C3C2×H(5,𝔽2)11yescharacteristic
1601C22×C3C2×H(5,𝔽2)11yescharacteristic
1602C22×C3C2×H(5,𝔽2)11yescharacteristic
1603C2×D3—22no—
1604C2×D3—22no—
1605C2×D3—22no—
1606C2×D3—22no—
1607C2×D3—22no—
1608C2×D3—22no—
1609C2×D3—22no—
1610C2×D3—22no—
1611C2×D3—22no—
1612C2×D3—22no—
1613C2×D3—22no—
1614C2×D3—22no—
1615C2×D3—22no—
1616C2×D3—22no—
1617C2×D3—22no—
1618C2×D3—22no—
1619C2×D3—22no—
1620C2×D3—22no—
1621C2×D3—22no—
1622C2×D3—22no—
1623C2×D3—22no—
1624C2×D3—416no—
1625C2×D3—416no—
1626C2×D3—416no—
1627C2×D3—416no—
1628C2×D3—416no—
1629C2×D3—416no—
1630C2×D3—41no—
1631C2×D3—41no—
1632C2×D3—41no—
1633C2×D3—41no—
1634C2×D3—41no—
1635C2×D3—41no—
1636C2×D3—41no—
1637C2×D3—41no—
1638C2×D3—41no—
1639C2×D3—41no—
1640C2×D3—41no—
1641C2×D3—41no—
1642C2×D3—88no—
1643C2×D3#54614yes—
1644C2×D3#55114yescomplemented
1645C3×C4—22no—
1646C3×C4—22no—
1647C3×C4—41no—
1648C3×C4—41no—
1649C3×C4—41no—
1650C3×C4—41no—
1651C3×C4—41no—
1652C3×C4—41no—
1653C3×C4—41no—
1654C3×C4—41no—
1655C3×C4—41no—
1656Dic3—22no—
1657Dic3—41no—
1658Dic3—41no—
1659Dic3—41no—
1660Dic3—41no—
1661Dic3—41no—
1662Dic3—41no—
1663Dic3—41no—
1664Dic3—41no—
1665Dic3—41no—
1666Dic3—41no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—28no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—32no—
1692C23—32no—
1693C23—32no—
1694C23—32no—
1695C23—32no—
1696C23—32no—
1697C23—32no—
1698C23—32no—
1699C23—32no—
1700C23—44no—
1701C23—44no—
1702C23—44no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—68no—
1707C23—68no—
1708C23—68no—
1709C23—68no—
1710C23—68no—
1711C23—68no—
1712C23—61no—
1713C23—61no—
1714C23—61no—
1715C23—61no—
1716C23—61no—
1717C23—61no—
1718C23—61no—
1719C23—61no—
1720C23—61no—
1721C23—61no—
1722C23—61no—
1723C23—61no—
1724C23—61no—
1725C23—61no—
1726C23—61no—
1727C23—61no—
1728C23—61no—
1729C23—61no—
1730C23—61no—
1731C23—61no—
1732C23—61no—
1733C23—61no—
1734C23—61no—
1735C23—61no—
1736C23—61no—
1737C23—61no—
1738C23—68no—
1739C23—68no—
1740C23—124no—
1741C23—124no—
1742C23—124no—
1743C23—124no—
1744C23—124no—
1745C23—124no—
1746C23—124no—
1747C23—124no—
1748C23—124no—
1749C23—124no—
1750C23—124no—
1751C23—124no—
1752C23—124no—
1753C23—124no—
1754C23—124no—
1755C23—124no—
1756C23—124no—
1757C23—124no—
1758C23—124no—
1759C23—124no—
1760C23—124no—
1761C23—124no—
1762C23—124no—
1763C23—124no—
1764C23—124no—
1765C23—124no—
1766C23—124no—
1767C23—124no—
1768C23—124no—
1769C23—124no—
1770C23—124no—
1771C23—124no—
1772C23—124no—
1773C23—124no—
1774C23—124no—
1775C23—124no—
1776C23—124no—
1777C23—12128no—
1778C23—124no—
1779C23—242no—
1780C23—242no—
1781C23—242no—
1782C23C2×D3×D412yes—
1783C23#100412yes—
1784C23D3×#4112yes—
1785C23D3×#4112yes—
1786C23#100912yes—
1787C23C24×D311yescharacteristic
1788Q8—242no—
1789D4—44no—
1790D4—44no—
1791D4—44no—
1792D4—68no—
1793D4—68no—
1794D4—124no—
1795D4—124no—
1796D4—124no—
1797D4—124no—
1798D4—124no—
1799D4—124no—
1800D4—124no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—32no—
1833C2×C4—44no—
1834C2×C4—61no—
1835C2×C4—61no—
1836C2×C4—61no—
1837C2×C4—61no—
1838C2×C4—61no—
1839C2×C4—61no—
1840C2×C4—61no—
1841C2×C4—61no—
1842C2×C4—61no—
1843C2×C4—61no—
1844C2×C4—61no—
1845C2×C4—61no—
1846C2×C4—61no—
1847C2×C4—61no—
1848C2×C4—61no—
1849C2×C4—61no—
1850C2×C4—61no—
1851C2×C4—61no—
1852C2×C4—61no—
1853C2×C4—61no—
1854C2×C4—61no—
1855C2×C4—61no—
1856C2×C4—61no—
1857C2×C4—61no—
1858C2×C4—61no—
1859C2×C4—61no—
1860C2×C4—61no—
1861C2×C4—61no—
1862C2×C4—61no—
1863C2×C4—61no—
1864C2×C4—61no—
1865C2×C4—61no—
1866C2×C4—82no—
1867C2×C4—124no—
1868C2×C4—124no—
1869C2×C4—124no—
1870C2×C4—124no—
1871C2×C4—242no—
1872C2×C4—242no—
1873C2×C4—242no—
1874C2×C4—242no—
1875C2×C4—242no—
1876C2×C4—242no—
1877C2×C4—242no—
1878C2×C4C2×D3×D412yes—
1879C2×C4C2×D3×D412yes—
1880C2×C3—24no—
1881C2×C3—42no—
1882C2×C3—42no—
1883C2×C3—81no—
1884C2×C3C2×#54611yescharacteristic
1885C2×C3C2×#54611yescharacteristic
1886C2×C3C2×#55111yescharacteristic
1887C2×C3#348411yescharacteristic
1888C2×C3#349011yescharacteristic
1889C2×C3#349011yescharacteristic
1890C2×C3#353211yescharacteristic
1891D3—24no—
1892D3—24no—
1893D3—42no—
1894D3—42no—
1895D3—42no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—22no—
1901C22—22no—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—34no—
1909C22—34no—
1910C22—416no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—62no—
1927C22—62no—
1928C22—62no—
1929C22—62no—
1930C22—62no—
1931C22—62no—
1932C22—62no—
1933C22—62no—
1934C22—62no—
1935C22—62no—
1936C22—62no—
1937C22—62no—
1938C22—62no—
1939C22—62no—
1940C22—62no—
1941C22—62no—
1942C22—62no—
1943C22—62no—
1944C22—62no—
1945C22—62no—
1946C22—62no—
1947C22—1216no—
1948C22—1216no—
1949C22—1216no—
1950C22—1216no—
1951C22—1216no—
1952C22—1216no—
1953C22—121no—
1954C22—121no—
1955C22—121no—
1956C22—121no—
1957C22—121no—
1958C22—121no—
1959C22—121no—
1960C22—121no—
1961C22—121no—
1962C22—121no—
1963C22—121no—
1964C22—121no—
1965C22—248no—
1966C22#561214yes—
1967C22C22×D3×D411yescharacteristic
1968C22C2×#100411yescharacteristic
1969C22C2×D3×#4111yescharacteristic
1970C22C2×D3×#4111yescharacteristic
1971C22C2×#100911yescharacteristic
1972C22D3×H(5,𝔽2)11yescharacteristic
1973C22D3×H(5,𝔽2)11yescharacteristic
1974C4—22no—
1975C4—22no—
1976C4—41no—
1977C4—41no—
1978C4—41no—
1979C4—41no—
1980C4—41no—
1981C4—41no—
1982C4—41no—
1983C4—41no—
1984C4—41no—
1985C4—62no—
1986C4—121no—
1987C4—121no—
1988C4—121no—
1989C4—121no—
1990C4—121no—
1991C4—121no—
1992C4—121no—
1993C4—121no—
1994C4—121no—
1995C4—121no—
1996C3#5900611yescharacteristic, complemented, Sylow
1997C2—24no—
1998C2—42no—
1999C2—42no—
2000C2—64no—
2001C2—64no—
2002C2—81no—
2003C2—122no—
2004C2—122no—
2005C2—122no—
2006C2C2×#561211yescharacteristic
2007C2#8604311yescharacteristic
2008C2#8633311yescharacteristic
2009C2D3×#54611yescharacteristic
2010C2#8666211yescharacteristic
2011C2D3×#55111yescharacteristic
2012C2#8681511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2411C2
prime radicalC2×D3×#120C2
hypercenter#2411D3
hypocenterC3#59006
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2411

Complements

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

NH ≅ G/Ntype
2. C2×#5527C2semidirect
3. C3×#2411C2semidirect
4. #82895C2semidirect
5. #82893C2semidirect
6. #82589C2semidirect
7. #82271C2semidirect
8. #82129C2semidirect
9. C2×#4955C2semidirect
10. #77437C2semidirect
11. #77421C2semidirect
12. #77418C2semidirect
13. #77303C2semidirect
14. #77144C2semidirect
15. #77106C2semidirect
16. #77106C2semidirect
17. #76926C2semidirect
18. #76467C2semidirect
19. #76437C2semidirect
20. #76431C2semidirect
21. #76315C2semidirect
22. #75917C2semidirect
23. #75844C2semidirect
24. #75832C2semidirect
25. #75539C2semidirect
26. #74890C2semidirect
27. #74878C2semidirect
28. #74596C2semidirect
29. #74413C2semidirect
30. D3×#379C2semidirect
31. #73826C2semidirect
37. C2×C3×#123C22semidirect
39. C2×C3×#117C22semidirect
40. C22×C3×C22⋊C4C22semidirect
42. C22×#217C22semidirect
46. C2×#936C22semidirect
47. C2×#929C22semidirect
48. C2×C4×#67C22semidirect
51. C22×(C2×D3)⋊C4C22semidirect
52. C22×(C2×D3)⋊C4C22semidirect
55. C2×#898C22semidirect
56. C2×#897C22semidirect
57. C2×#896C22semidirect
58. C2×#894C22semidirect
59. C2×#894C22semidirect
60. C2×#893C22semidirect
61. C2×#883C22semidirect
62. C2×#883C22semidirect
66. C2×#67⋊C4C22semidirect
72. C2×D3×C22⋊C4C22semidirect
73. C2×D3×C22⋊C4C22semidirect
74. C2×D3×C22⋊C4C22semidirect
75. C2×D3×C22⋊C4C22semidirect
76. C2×D3×C22⋊C4C22semidirect
77. C2×#878C22semidirect
78. C2×#876C22semidirect
79. C2×#875C22semidirect
80. C2×C4×D12C22semidirect
81. C2×#872C22semidirect
82. C3×#396C22semidirect
83. C3×#396C22semidirect
84. C3×#394C22semidirect
85. C3×#394C22semidirect
86. C3×#390C22semidirect
87. C3×#390C22semidirect
88. C3×#388C22semidirect
89. C3×#388C22semidirect
90. C3×#386C22semidirect
91. C3×#385C22semidirect
92. C3×#379C22semidirect
93. #5247C22semidirect
94. #5222C22semidirect
95. #5222C22semidirect
96. #5221C22semidirect
97. #5220C22semidirect
98. #5220C22semidirect
99. #5212C22semidirect
100. #5211C22semidirect
101. #4994C22semidirect
102. #4994C22semidirect
103. #4992C22semidirect
104. #4992C22semidirect
105. #4991C22semidirect
106. #4991C22semidirect
107. #4990C22semidirect
108. #4990C22semidirect
109. #4990C22semidirect
110. #4989C22semidirect
111. #4989C22semidirect
112. #4989C22semidirect
113. #4989C22semidirect
114. #4989C22semidirect
115. #4988C22semidirect
116. #4987C22semidirect
117. #4987C22semidirect
118. #4987C22semidirect
119. #4961C22semidirect
120. #4961C22semidirect
121. #4961C22semidirect
122. #4961C22semidirect
123. #4961C22semidirect
124. #4961C22semidirect
125. #4959C22semidirect
126. #4959C22semidirect
127. #4959C22semidirect
128. #4959C22semidirect
129. #4958C22semidirect
130. #4957C22semidirect
131. #4957C22semidirect
132. #4956C22semidirect
133. #4956C22semidirect
134. #4956C22semidirect
135. #4956C22semidirect
136. #4956C22semidirect
137. #4956C22semidirect
146. #4955C22semidirect
147. #4955C22semidirect
148. #4955C22semidirect
149. #4955C22semidirect
150. #4955C22semidirect
151. #4955C22semidirect
152. #4955C22semidirect
153. #4955C22semidirect
154. #4955C22semidirect
155. #4953C22semidirect
156. #4952C22semidirect
157. #4951C22semidirect
158. #4950C22semidirect
159. #4949C22semidirect
160. #4948C22semidirect
161. #4948C22semidirect
162. #4947C22semidirect
163. #4945C22semidirect
164. #4945C22semidirect
165. #4945C22semidirect
166. #4944C22semidirect
167. #4944C22semidirect
168. #4942C22semidirect
169. Dic3×C22⋊C4C22semidirect
170. #4940C22semidirect
171. #4940C22semidirect
172. C4×(C2×D3)⋊C4C22semidirect
173. C4×(C2×D3)⋊C4C22semidirect
174. #4677C22semidirect
175. #4675C22semidirect
176. #4674C22semidirect
177. #4673C22semidirect
178. #4669C22semidirect
179. #4668C22semidirect
180. #4668C22semidirect
181. #4668C22semidirect
182. #4667C22semidirect
183. #4666C22semidirect
184. #4666C22semidirect
185. #4665C22semidirect
186. #4665C22semidirect
187. #4665C22semidirect
188. #4665C22semidirect
189. #4664C22semidirect
210. #2411D3semidirect
268. C22×C4×D3C23semidirect
269. C22×C4×D3C23semidirect
270. C22×Dic6C23semidirect
274. C2×C3×C4⋊C4C23semidirect
275. C2×C3×C4⋊C4C23semidirect
276. C2×C3×C4⋊C4C23semidirect
277. C2×C3×C4⋊C4C23semidirect
278. C2×C3×C4⋊C4C23semidirect
279. C2×C3×C4⋊C4C23semidirect
294. C2×C3×C22⋊C4C23semidirect
295. C2×C3×C22⋊C4C23semidirect
296. C2×C3×C22⋊C4C23semidirect
297. C2×C3×C22⋊C4C23semidirect
298. C2×C3×C42C23semidirect
299. C2×C3×C42C23semidirect
315. C2×#217C23semidirect
316. C2×#217C23semidirect
317. C2×#217C23semidirect
318. C2×#217C23semidirect
363. C2×(C2×D3)⋊C4C23semidirect
364. C2×(C2×D3)⋊C4C23semidirect
365. C2×(C2×D3)⋊C4C23semidirect
366. C2×(C2×D3)⋊C4C23semidirect
367. C2×(C2×D3)⋊C4C23semidirect
368. C2×(C2×D3)⋊C4C23semidirect
369. C2×C4⋊Dic3C23semidirect
370. C2×C4⋊Dic3C23semidirect
371. C2×C4⋊Dic3C23semidirect
372. C2×C4⋊Dic3C23semidirect
373. C2×C4⋊Dic3C23semidirect
374. C2×Dic3⋊C4C23semidirect
375. C2×Dic3⋊C4C23semidirect
376. C2×Dic3⋊C4C23semidirect
377. C2×Dic3⋊C4C23semidirect
378. C2×Dic3⋊C4C23semidirect
379. C2×Dic3⋊C4C23semidirect
380. C2×Dic3⋊C4C23semidirect
381. C2×Dic3⋊C4C23semidirect
382. C2×C4×Dic3C23semidirect
383. C2×C4×Dic3C23semidirect
384. C2×C4×Dic3C23semidirect
385. C2×C4×Dic3C23semidirect
413. C3×#95C23semidirect
414. C3×#95C23semidirect
415. C3×#95C23semidirect
416. C3×#95C23semidirect
417. C3⋊#95C23semidirect
418. C3⋊#95C23semidirect
419. C3⋊#95C23semidirect
420. C3⋊#95C23semidirect
421. C3⋊#95C23semidirect
422. C3⋊#95C23semidirect
423. C3⋊#95C23semidirect
424. C3⋊#95C23semidirect
425. C3⋊#95C23semidirect
426. C3⋊#95C23semidirect
427. C3⋊#95C23semidirect
428. C3⋊#95C23semidirect
429. C3⋊#95C23semidirect
430. C3⋊#95C23semidirect
431. C3⋊#95C23semidirect
432. C3⋊#95C23semidirect
433. C3⋊#95C23semidirect
434. C3⋊#95C23semidirect
449. C2×#123C2×D3semidirect
467. C2×#117C2×D3semidirect
483. C22×C22⋊C4C2×D3semidirect
496. #396C2×D3semidirect
497. #396C2×D3semidirect
512. #394C2×D3semidirect
513. #394C2×D3semidirect
520. #390C2×D3semidirect
521. #390C2×D3semidirect
534. #388C2×D3semidirect
535. #388C2×D3semidirect
549. #386C2×D3semidirect
559. #385C2×D3semidirect
586. #379C2×D3semidirect
956. C2×C4⋊C4C22×D3semidirect
957. C2×C4⋊C4C22×D3semidirect
958. C2×C4⋊C4C22×D3semidirect
959. C2×C4⋊C4C22×D3semidirect
960. C2×C4⋊C4C22×D3semidirect
961. C2×C4⋊C4C22×D3semidirect
1048. C2×C22⋊C4C22×D3semidirect
1049. C2×C22⋊C4C22×D3semidirect
1050. C2×C22⋊C4C22×D3semidirect
1051. C2×C22⋊C4C22×D3semidirect
1056. C2×C42C22×D3semidirect
1057. C2×C42C22×D3semidirect
1076. #95C22×D3semidirect
1077. #95C22×D3semidirect
1078. #95C22×D3semidirect
1079. #95C22×D3semidirect
1644. C2×D3#551semidirect
1996. C3#59006semidirect

Maximal subgroups

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

subgroupindex
C2×D3×#1202
C2×#55272
C3×#24112
#828952
#828932
#825892
#822712
#821292
C2×#49552
#774372
#774212
#774182
#773032
#771442
#771062
#769262
#764672
#764372
#764312
#763152
#759172
#758442
#758322
#755392
#748902
#748782
#745962
#744132
D3×#3792
#738262
#590063