Finite Group Databasebeta

← C2×C3⋊D3×#911 #72269033

Subgroups — C2×C3⋊D3×#911 #72269033

Order 3456.

11512 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3⋊D3×#237C211yesmaximal, characteristic, complemented
2C2×D3×D4×C3⋊D3C211yesmaximal, characteristic, complemented
3C2×#11723952C211yesmaximal, characteristic, complemented
4C2×C3×D8×C3⋊D3C211yesmaximal, characteristic, complemented
5C2×C32×#911C211yesmaximal, characteristic, complemented
6C2×#11723566C211yesmaximal, characteristic, complemented
7C2×#11723555C211yesmaximal, characteristic, complemented
8C2×C3⋊D3×#214C211yesmaximal, characteristic, complemented
9C2×#11723548C211yesmaximal, characteristic, complemented
10C2×#11723544C211yesmaximal, characteristic, complemented
11C2×C3⋊D3×#213C211yesmaximal, characteristic, complemented
12C3⋊D3×#911C2116yesmaximal, direct product factor
13C2×#11723323C211yesmaximal, characteristic, complemented
14C2×#11723316C211yesmaximal, characteristic, complemented
15C2×C3⋊D3×#204C211yesmaximal, characteristic, complemented
16C2×C3⋊D3×ΓL(1,𝔽25)C211yesmaximal, characteristic, complemented
17C2×D3×#911—34nomaximal
18C2×C3⋊D3×AGL(1,ℤ/8)—31nomaximal
19C23×D3×C3⋊D3—21no—
20C2×#89078C2211yescharacteristic, complemented
21C2×D4×C3⋊(C3⋊D3)C2211yescharacteristic, complemented
22C2×C3×D4×C3⋊D3C2211yescharacteristic
23C2×C3×D4×C3⋊D3C2211yescharacteristic, complemented
24C2×C32×#237C2211yescharacteristic, complemented
25C2×C32×D3×D4C2211yescharacteristic, complemented
26C2×#89039—21no—
27C2×C3⋊D3×#67—21no—
28C2×C3⋊D3×#67—21no—
29C2×D3×#638—21no—
30C2×#89031—21no—
31C22×Dic3×C3⋊D3—21no—
32C2×#89029—21no—
33C3⋊D3×#237—24no—
34C3⋊D3×#237C2218yescomplemented
35D3×D4×C3⋊D3—24no—
36D3×D4×C3⋊D3C2218yescomplemented
37C2×#89026C2211yescharacteristic, complemented
38C2×C3⋊D3×D12C2211yescharacteristic
39C2×D3×C4⋊(C3⋊D3)C2211yescharacteristic, complemented
40C2×C4×D3×C3⋊D3C2211yescharacteristic
41C2×#89021C2211yescharacteristic, complemented
42C2×#89017C2211yescharacteristic, complemented
43C2×C3⋊D3×Dic6C2211yescharacteristic, complemented
44C2×C33×D8C2211yescharacteristic, complemented
45C2×#88861C2211yescharacteristic, complemented
46C2×#88860C2211yescharacteristic, complemented
47#11723952C2218yescomplemented
48C2×#88851C2211yescharacteristic, complemented
49C2×#88850C2211yescharacteristic, complemented
50C2×C3×#3753C2211yescharacteristic, complemented
51C2×C3×#3753C2211yescharacteristic, complemented
52C3×D8×C3⋊D3C2218yescomplemented
53C2×C3×#3745C2211yescharacteristic, complemented
54C2×C3×C8×C3⋊D3C2211yescharacteristic, complemented
55C2×C32×#214C2211yescharacteristic, complemented
56C2×C32×#213C2211yescharacteristic, complemented
57C32×#911C2218yescomplemented
58C2×C32×#204C2211yescharacteristic, complemented
59C2×C32×ΓL(1,𝔽25)C2211yescharacteristic, complemented
60#11723566C2218yescomplemented
61#11723555C2218yescomplemented
62C3⋊D3×#214C2218yescomplemented
63#11723548C2218yescomplemented
64C3⋊D3×#213C2218yescomplemented
65#11723544C2218yescomplemented
66C2×#88796C2211yescharacteristic, complemented
67C2×#88795C2211yescharacteristic, complemented
68C2×#88794C2211yescharacteristic, complemented
69C2×#88793C2211yescharacteristic, complemented
70C2×#88791C2211yescharacteristic, complemented
71C2×#88789C2211yescharacteristic, complemented
72C2×#88788C2211yescharacteristic, complemented
73C2×#88786C2211yescharacteristic, complemented
74C2×C3⋊D3×C3⋊C8C2211yescharacteristic, complemented
75#11723323C2218yescomplemented
76C3⋊D3×#204C2218yescomplemented
77#11723316C2218yescomplemented
78C3⋊D3×ΓL(1,𝔽25)C2218yescomplemented
79C2×#41×C3⋊D3—31no—
80C22×D4×C3⋊D3—31no—
81C2×D3×#237—34no—
82C2×D32×D4—34no—
83C2×C32×AGL(1,ℤ/8)—31no—
84C2×#64158—31no—
85C2×#64141—31no—
86C3⋊D3×AGL(1,ℤ/8)—316no—
87C2×#64123—31no—
88C2×#64123—31no—
89C2×SD16×C3⋊D3—31no—
90C2×SD16×C3⋊D3—31no—
91C2×#64120—31no—
92C2×#64120—31no—
93C2×#64120—34no—
94C2×#64120—64no—
95C2×D8×C3⋊D3—31no—
96C2×D8×C3⋊D3D311yescharacteristic, complemented
97C2×#64117—31no—
98C2×M16×C3⋊D3—31no—
99C2×C3×#911D314yescomplemented
100C2×C3×D3×D8—34no—
101C2×#63937—34no—
102C2×#63932—34no—
103C2×D3×#214—34no—
104C2×#63927—34no—
105C2×#63925—34no—
106C2×D3×#213—34no—
107D3×#911—364no—
108C2×#63798—34no—
109C2×#63795—34no—
110C2×D3×#204—34no—
111C2×D3×ΓL(1,𝔽25)—34no—
112C23×C3⋊(C3⋊D3)—21no—
113C23×C3×C3⋊D3—21no—
114C23×C3×C3⋊D3—21no—
115C23×C32×D3—21no—
116C22×D3×C3⋊D3—21no—
117C22×D3×C3⋊D3—21no—
118C22×D3×C3⋊D3—21no—
119C22×D3×C3⋊D3—28no—
120C22×D3×C3⋊D3—48no—
121C22×D3×C3⋊D3D411yescharacteristic
122C2×C33×D4C2311yescharacteristic
123C2×C33×D4C2311yescharacteristic, complemented
124C2×#6312—21no—
125C2×#6312—21no—
126C22×C3⋊(C3⋊Dic3)—21no—
127#89078—22no—
128#89078C2314yescomplemented
129D4×C3⋊(C3⋊D3)—22no—
130D4×C3⋊(C3⋊D3)C2314yescomplemented
131C2×C4⋊(C3⋊(C3⋊D3))C2311yescharacteristic
132C2×C4×C3⋊(C3⋊D3)C2311yescharacteristic
133C2×#6308C2311yescharacteristic, complemented
134C2×C3×#638—21no—
135C2×C3×#638—21no—
136C3×D4×C3⋊D3—22no—
137C3×D4×C3⋊D3—22no—
138C3×D4×C3⋊D3C2314yes—
139C3×D4×C3⋊D3C2314yescomplemented
140C2×C3×C4⋊(C3⋊D3)C2311yescharacteristic
141C2×C3×C4⋊(C3⋊D3)C2311yescharacteristic, complemented
142C2×C3×C4×C3⋊D3C2311yescharacteristic
143C2×C32×#67—21no—
144C2×C32×#67—21no—
145C22×C32×Dic3—21no—
146C32×#237—22no—
147C32×#237C2314yescomplemented
148C32×D3×D4—22no—
149C32×D3×D4C2314yescomplemented
150C2×C32×D12C2311yescharacteristic
151C2×C32×C4×D3C2311yescharacteristic
152C2×C32×Dic6C2311yescharacteristic, complemented
153#89039—28no—
154C3⋊D3×#67—28no—
155C3⋊D3×#67—28no—
156D3×#638—28no—
157C2×#6293—21no—
158C2×#6292—21no—
159C2×#6292—21no—
160C2×#6291—21no—
161C2×#6290—21no—
162C2×#6290—21no—
163C2×#6289D411yescharacteristic
164#89031—28no—
165C2×Dic3×C3⋊D3—21no—
166C2×Dic3×C3⋊D3—21no—
167C2×Dic3×C3⋊D3—21no—
168C2×Dic3×C3⋊D3—28no—
169C2×Dic3×C3⋊D3D411yescharacteristic
170#89029—28no—
171C2×D3×C3⋊Dic3D411yescharacteristic
172#89026—22no—
173#89026C2314yescomplemented
174C3⋊D3×D12—22no—
175C3⋊D3×D12C2314yes—
176D3×C4⋊(C3⋊D3)—22no—
177D3×C4⋊(C3⋊D3)C2314yescomplemented
178C4×D3×C3⋊D3D414yes—
179C4×D3×C3⋊D3C2314yes—
180#89021—22no—
181#89021C2314yescomplemented
182#89017—22no—
183#89017C2314yescomplemented
184C3⋊D3×Dic6—22no—
185C3⋊D3×Dic6C2314yescomplemented
186C33×D8C2314yescomplemented
187C2×C33×C8C2311yescharacteristic, complemented
188#88861C2314yescomplemented
189#88860C2314yescomplemented
190C2×C3⋊(C3⋊(C3⋊C8))C2311yescharacteristic, complemented
191#88851C2314yescomplemented
192#88850C2314yescomplemented
193C3×#3753C2314yescomplemented
194C3×#3753C2314yescomplemented
195C2×C3×C3⋊(C3⋊C8)C2311yescharacteristic, complemented
196C3×#3745C2314yescomplemented
197C3×C8×C3⋊D3C2314yescomplemented
198C32×#214C2314yescomplemented
199C32×#213C2314yescomplemented
200C2×C32×C3⋊C8C2311yescharacteristic, complemented
201C32×#204C2314yescomplemented
202C32×ΓL(1,𝔽25)C2314yescomplemented
203#88796C2314yescomplemented
204#88795C2314yescomplemented
205#88794C2314yescomplemented
206#88793C2314yescomplemented
207#88791C2314yescomplemented
208#88789C2314yescomplemented
209#88788C2314yescomplemented
210#88786C2314yescomplemented
211C3⋊D3×C3⋊C8C2314yescomplemented
212C2×D3×AGL(1,ℤ/8)—94no—
213C22×#911—91no—
214C24×C3⋊D3—61no—
215C23×D32—64no—
216C2×C32×#41—31no—
217C22×C32×D4—31no—
218C22×#638—61no—
219#41×C3⋊D3—38no—
220#41×C3⋊D3—64no—
221C2×#3832—31no—
222C2×Q8×C3⋊D3—31no—
223C2×#3830—31no—
224C2×#3830—34no—
225C2×#3830—64no—
226C2×#3830—61no—
227C2×D4×C3⋊D3—31no—
228C2×D4×C3⋊D3—38no—
229C2×D4×C3⋊D3—31no—
230C2×D4×C3⋊D3—31no—
231C2×D4×C3⋊D3—34no—
232C2×D4×C3⋊D3—61no—
233C2×D4×C3⋊D3—61no—
234C2×D4×C3⋊D3—64no—
235C2×D4×C3⋊D3—61no—
236C2×D4×C3⋊D3—64no—
237C2×D4×C3⋊D3C2×D311yescharacteristic
238C2×D4×C3⋊D3C2×D311yescharacteristic, complemented
239C2×#3828—31no—
240C2×#3828—61no—
241C22×C4⋊(C3⋊D3)—31no—
242C22×C4×C3⋊D3—31no—
243C22×C4×C3⋊D3—61no—
244C2×C3×#237C2×D314yescomplemented
245C2×C3×D3×D4—34no—
246C2×C3×D3×D4—34no—
247C2×C3×D3×D4C2×D314yescomplemented
248C2×#3811—64no—
249C2×D3×#67—64no—
250C2×D3×#67—64no—
251C2×D3×#67—64no—
252C2×#3805—64no—
253C2×#3804—64no—
254C22×D3×Dic3—64no—
255D3×#237—332no—
256D3×#237—616no—
257D32×D4—332no—
258D32×D4—616no—
259C2×#3802—34no—
260C2×D3×D12—34no—
261C2×D3×D12—34no—
262C2×C4×D32—34no—
263C2×#3796—34no—
264C2×#3795—34no—
265C2×D3×Dic6—34no—
266C32×AGL(1,ℤ/8)—38no—
267C2×C32×SD16—31no—
268C2×C32×SD16—31no—
269C2×C32×D8—24no—
270C2×C32×D8—31no—
271C2×C32×D8C2×D314yescomplemented
272C2×C32×D8C2×D311yescharacteristic, complemented
273C2×C32×M16—31no—
274#64158—38no—
275C2×#3755—31no—
276C2×#3755—31no—
277C2×#3754—31no—
278C2×#3754—34no—
279C2×#3754—31no—
280C2×#3754—64no—
281#64141—38no—
282C2×#3753—31no—
283C2×#3753—31no—
284C2×#3753—34no—
285C2×#3753—64no—
286C2×#3753C2×D311yescharacteristic, complemented
287C2×#3753C2×D311yescharacteristic, complemented
288C2×#3748—31no—
289#64123—38no—
290#64123—38no—
291SD16×C3⋊D3—38no—
292SD16×C3⋊D3—38no—
293#64120—38no—
294#64120—38no—
295#64120—332no—
296#64120—632no—
297D8×C3⋊D3—38no—
298D8×C3⋊D3C2×D318yescomplemented
299#64117—38no—
300M16×C3⋊D3—38no—
301C2×#3745—31no—
302C2×#3745C2×D311yescharacteristic, complemented
303C2×#3744—31no—
304C2×#3744—31no—
305C2×#3744—34no—
306C2×#3744—64no—
307C2×#3743—31no—
308C2×#3743—31no—
309C2×#3743—34no—
310C2×#3743—64no—
311C2×C8×C3⋊D3—31no—
312C2×C8×C3⋊D3C2×D311yescharacteristic, complemented
313C2×C3×#214C2×D314yescomplemented
314C2×C3×#213—34no—
315C2×C3×#213—34no—
316C2×C3×#213C2×D314yescomplemented
317C3×#911C2×D3132yescomplemented
318C3×D3×D8—332no—
319C2×C3×D24—34no—
320C2×C3×#204C2×D314yescomplemented
321C2×C3×ΓL(1,𝔽25)C2×D314yescomplemented
322C2×C3×D3×C8—34no—
323#63937—332no—
324#63932—332no—
325D3×#214—332no—
326#63927—332no—
327#63925—332no—
328D3×#213—332no—
329C2×#3717—34no—
330C2×#3716—34no—
331C2×#3716—34no—
332C2×#3715—34no—
333C2×#3714—34no—
334C2×#3713—34no—
335C2×#3712—34no—
336C2×#3711—34no—
337C2×D3×C3⋊C8—34no—
338#63798—332no—
339#63795—332no—
340D3×#204—332no—
341D3×ΓL(1,𝔽25)—332no—
342C23×C33—21no—
343C23×C33—21no—
344C22×C3⋊(C3⋊D3)—21no—
345C22×C3⋊(C3⋊D3)—24no—
346C22×C3⋊(C3⋊D3)—44no—
347C22×C3⋊(C3⋊D3)C2×D411yescharacteristic
348C22×C3×C3⋊D3—21no—
349C22×C3×C3⋊D3—21no—
350C22×C3×C3⋊D3—24no—
351C22×C3×C3⋊D3—24no—
352C22×C3×C3⋊D3—44no—
353C22×C3×C3⋊D3—44no—
354C22×C3×C3⋊D3C2×D411yescharacteristic
355C22×C32×D3—21no—
356C22×C32×D3—24no—
357C22×C32×D3—44no—
358C22×C32×D3C2×D411yescharacteristic
359C2×D3×C3⋊D3—24no—
360C2×D3×C3⋊D3—24no—
361C2×D3×C3⋊D3—24no—
362C2×D3×C3⋊D3—24no—
363C2×D3×C3⋊D3—432no—
364C2×D3×C3⋊D3—44no—
365C2×D3×C3⋊D3—44no—
366C2×D3×C3⋊D3—44no—
367C2×D3×C3⋊D3C2×D414yes—
368C33×D4—21no—
369C33×D4—21no—
370C33×D4C2412yes—
371C33×D4C2412yescomplemented
372C2×C33×C4C2411yescharacteristic
373#6312—24no—
374#6312—24no—
375C2×C3⋊(C3⋊Dic3)—21no—
376C2×C3⋊(C3⋊Dic3)—24no—
377C2×C3⋊(C3⋊Dic3)C2×D411yescharacteristic
378C4⋊(C3⋊(C3⋊D3))—21no—
379C4⋊(C3⋊(C3⋊D3))C2412yes—
380C4×C3⋊(C3⋊D3)C2×D412yes—
381C4×C3⋊(C3⋊D3)C2412yes—
382#6308—21no—
383#6308C2412yescomplemented
384C3×#638—24no—
385C3×#638—24no—
386C2×C3×C3⋊Dic3C2×D411yescharacteristic
387C3×C4⋊(C3⋊D3)—21no—
388C3×C4⋊(C3⋊D3)—21no—
389C3×C4⋊(C3⋊D3)C2412yes—
390C3×C4⋊(C3⋊D3)C2412yescomplemented
391C3×C4×C3⋊D3C2×D412yes—
392C3×C4×C3⋊D3C2412yes—
393C32×#67—24no—
394C32×#67—24no—
395C2×C32×Dic3—21no—
396C2×C32×Dic3—24no—
397C2×C32×Dic3C2×D411yescharacteristic
398C32×D12—21no—
399C32×D12C2412yes—
400C32×C4×D3C2×D412yes—
401C32×C4×D3C2412yes—
402C32×Dic6—21no—
403C32×Dic6C2412yescomplemented
404#6293—24no—
405#6292—24no—
406#6292—24no—
407#6291—24no—
408#6290—24no—
409#6290—24no—
410#6289C2×D414yes—
411Dic3×C3⋊D3—24no—
412Dic3×C3⋊D3—24no—
413Dic3×C3⋊D3—24no—
414Dic3×C3⋊D3C2×D414yes—
415D3×C3⋊Dic3C2×D414yes—
416C33×C8C2412yescomplemented
417C3⋊(C3⋊(C3⋊C8))C2412yescomplemented
418C3×C3⋊(C3⋊C8)C2412yescomplemented
419C32×C3⋊C8C2412yescomplemented
420C2×D3×#41—94no—
421C22×#237—91no—
422C22×D3×D4—94no—
423C22×D3×D4—91no—
424C2×C3×AGL(1,ℤ/8)—34no—
425C22×C3×D8—91no—
426C2×#949—94no—
427C22×#214—91no—
428C2×#932—94no—
429C22×#213—91no—
430D3×AGL(1,ℤ/8)—964no—
431C2×#914—94no—
432C2×#914—94no—
433C2×D3×SD16—94no—
434C2×D3×SD16—94no—
435C2×#911—94no—
436C2×#911—91no—
437C2×#911—91no—
438C2×#911—94no—
439C2×#911—91no—
440C2×#911—91no—
441C2×#911—91no—
442C2×#911—916no—
443C2×#911—91no—
444C2×#911—91no—
445C2×#911—184no—
446C2×#911C3⋊D311yescharacteristic, direct product factor
447C2×D3×D8—34no—
448C2×D3×D8—94no—
449C2×#908—94no—
450C2×D3×M16—94no—
451C22×#204—91no—
452C22×ΓL(1,𝔽25)—91no—
453C24×C32—61no—
454C23×C3⋊D3—21no—
455C23×C3⋊D3—21no—
456C23×C3⋊D3—31no—
457C23×C3⋊D3—61no—
458C23×C3⋊D3—68no—
459C23×C3⋊D3—61no—
460C23×C3⋊D3—61no—
461C23×C3⋊D3—64no—
462C23×C3⋊D3—61no—
463C23×C3⋊D3—128no—
464C23×C3⋊D3—124no—
465C23×C3×D3—24no—
466C23×C3×D3—64no—
467C23×C3×D3—64no—
468C22×D32—34no—
469C22×D32—632no—
470C22×D32—64no—
471C22×D32—64no—
472C22×D32—64no—
473C22×D32—1232no—
474C32×#41—34no—
475C32×#41—62no—
476C2×C32×Q8—31no—
477C2×C32×D4—24no—
478C2×C32×D4—24no—
479C2×C32×D4—34no—
480C2×C32×D4—31no—
481C2×C32×D4—62no—
482C2×C32×D4—61no—
483C2×C32×D4—61no—
484C2×C32×D4C22×D314yes—
485C2×C32×D4C22×D311yescharacteristic
486C2×C32×D4C22×D314yescomplemented
487C2×C32×D4C22×D311yescharacteristic, complemented
488C22×C32×C4—31no—
489C22×C32×C4—61no—
490C2×#638—21no—
491C2×#638—21no—
492C2×#638—68no—
493C2×#638—61no—
494C2×#638—61no—
495C2×#638—64no—
496C2×#638—61no—
497C2×#638—61no—
498C2×#638—64no—
499C2×#638—61no—
500C2×#638—124no—
501C2×#638—124no—
502C22×C3⋊Dic3—31no—
503C22×C3⋊Dic3—61no—
504C22×C3⋊Dic3—64no—
505C22×C3⋊Dic3—124no—
506#3832—34no—
507#3832—62no—
508Q8×C3⋊D3—34no—
509Q8×C3⋊D3—62no—
510#3830—34no—
511#3830—316no—
512#3830—62no—
513#3830—68no—
514#3830—68no—
515#3830—616no—
516#3830—128no—
517D4×C3⋊D3—22no—
518D4×C3⋊D3—22no—
519D4×C3⋊D3—34no—
520D4×C3⋊D3—316no—
521D4×C3⋊D3—34no—
522D4×C3⋊D3—34no—
523D4×C3⋊D3—62no—
524D4×C3⋊D3—68no—
525D4×C3⋊D3—62no—
526D4×C3⋊D3—68no—
527D4×C3⋊D3—68no—
528D4×C3⋊D3—68no—
529D4×C3⋊D3—616no—
530D4×C3⋊D3—62no—
531D4×C3⋊D3—128no—
532D4×C3⋊D3C22×D314yes—
533D4×C3⋊D3C22×D314yescomplemented
534#3828—34no—
535#3828—68no—
536#3828—62no—
537C2×C4⋊(C3⋊D3)—31no—
538C2×C4⋊(C3⋊D3)—34no—
539C2×C4⋊(C3⋊D3)—34no—
540C2×C4⋊(C3⋊D3)—62no—
541C2×C4⋊(C3⋊D3)—61no—
542C2×C4⋊(C3⋊D3)—61no—
543C2×C4⋊(C3⋊D3)—64no—
544C2×C4⋊(C3⋊D3)C22×D311yescharacteristic
545C2×C4⋊(C3⋊D3)C22×D311yescharacteristic, complemented
546C2×C4×C3⋊D3—31no—
547C2×C4×C3⋊D3—31no—
548C2×C4×C3⋊D3—34no—
549C2×C4×C3⋊D3—31no—
550C2×C4×C3⋊D3—34no—
551C2×C4×C3⋊D3—34no—
552C2×C4×C3⋊D3—68no—
553C2×C4×C3⋊D3—61no—
554C2×C4×C3⋊D3—64no—
555C2×C4×C3⋊D3—61no—
556C2×C4×C3⋊D3—61no—
557C2×C4×C3⋊D3C22×D311yescharacteristic
558C2×#634—31no—
559C2×#634—34no—
560C2×#634—61no—
561C2×#634—64no—
562C2×C3×#67—24no—
563C2×C3×#67—24no—
564C2×C3×#67—64no—
565C2×C3×#67—64no—
566C22×C3×Dic3—24no—
567C3×#237—28no—
568C3×#237C22×D3116yescomplemented
569C3×D3×D4—28no—
570C3×D3×D4—316no—
571C3×D3×D4—316no—
572C3×D3×D4—68no—
573C3×D3×D4—68no—
574C3×D3×D4C22×D3116yescomplemented
575C2×C3×D12—34no—
576C2×C3×D12—34no—
577C2×C3×D12C22×D314yes—
578C2×C3×C4×D3—34no—
579C2×C3×C4×D3C22×D314yes—
580C2×C3×Dic6C22×D314yescomplemented
581#3811—632no—
582D3×#67—632no—
583D3×#67—632no—
584D3×#67—632no—
585C2×#627—64no—
586C2×#626—64no—
587C2×#626—64no—
588C2×#626—64no—
589C2×#625—64no—
590C2×#625—64no—
591C2×#624—34no—
592#3805—632no—
593#3804—632no—
594C2×D3×Dic3—34no—
595C2×D3×Dic3—34no—
596C2×D3×Dic3—632no—
597C2×D3×Dic3—64no—
598C2×D3×Dic3—64no—
599C2×D3×Dic3—64no—
600#3802—316no—
601#3802—68no—
602D3×D12—316no—
603D3×D12—316no—
604D3×D12—68no—
605D3×D12—68no—
606C4×D32—316no—
607C4×D32—316no—
608#3796—316no—
609#3796—68no—
610#3795—316no—
611#3795—68no—
612D3×Dic6—316no—
613D3×Dic6—68no—
614C32×SD16—34no—
615C32×SD16—34no—
616C32×D8—216no—
617C32×D8—34no—
618C32×D8C22×D3116yescomplemented
619C32×D8C22×D314yescomplemented
620C32×M16—34no—
621C2×C32×C8—24no—
622C2×C32×C8—31no—
623C2×C32×C8C22×D314yescomplemented
624C2×C32×C8C22×D311yescharacteristic, complemented
625#3755—34no—
626#3755—34no—
627#3754—34no—
628#3754—316no—
629#3754—34no—
630#3754—616no—
631#3753—34no—
632#3753—316no—
633#3753—34no—
634#3753—616no—
635#3753C22×D314yescomplemented
636#3753C22×D314yescomplemented
637#3748—34no—
638C2×C3⋊(C3⋊C8)—31no—
639C2×C3⋊(C3⋊C8)—34no—
640C2×C3⋊(C3⋊C8)—64no—
641C2×C3⋊(C3⋊C8)C22×D311yescharacteristic, complemented
642#3745—34no—
643#3745C22×D314yescomplemented
644#3744—34no—
645#3744—34no—
646#3744—316no—
647#3744—616no—
648#3743—34no—
649#3743—316no—
650#3743—34no—
651#3743—616no—
652C8×C3⋊D3—34no—
653C8×C3⋊D3C22×D314yescomplemented
654C3×#214C22×D3116yescomplemented
655C3×#213—316no—
656C3×#213—316no—
657C3×#213C22×D3116yescomplemented
658C2×C3×C3⋊C8—34no—
659C2×C3×C3⋊C8C22×D314yescomplemented
660C3×D24—316no—
661C3×#204C22×D3116yescomplemented
662C3×ΓL(1,𝔽25)C22×D3116yescomplemented
663C3×D3×C8—316no—
664#3717—316no—
665#3716—316no—
666#3716—316no—
667#3715—316no—
668#3714—316no—
669#3713—316no—
670#3712—316no—
671#3711—316no—
672D3×C3⋊C8—316no—
673C22×AGL(1,ℤ/8)—271noSylow
674C22×C33—22no—
675C22×C33—22no—
676C22×C33—42no—
677C22×C33—42no—
678C22×C33C22×D411yescharacteristic
679C2×C3⋊(C3⋊D3)—22no—
680C2×C3⋊(C3⋊D3)—22no—
681C2×C3⋊(C3⋊D3)—48no—
682C2×C3⋊(C3⋊D3)—42no—
683C2×C3⋊(C3⋊D3)C22×D412yes—
684C2×C3×C3⋊D3—22no—
685C2×C3×C3⋊D3—22no—
686C2×C3×C3⋊D3—42no—
687C2×C3×C3⋊D3—42no—
688C2×C3×C3⋊D3—48no—
689C2×C3×C3⋊D3—48no—
690C2×C3×C3⋊D3AGL(1,ℤ/8)14yescomplemented
691C2×C3×C3⋊D3C22×D412yes—
692C2×C32×D3—22no—
693C2×C32×D3—22no—
694C2×C32×D3—48no—
695C2×C32×D3—42no—
696C2×C32×D3C22×D412yes—
697D3×C3⋊D3—28no—
698D3×C3⋊D3—48no—
699D3×C3⋊D3—48no—
700D3×C3⋊D3—48no—
701C33×C4C22×D411yescharacteristic
702C33×C4C2511yescharacteristic
703C3⋊(C3⋊Dic3)—22no—
704C3⋊(C3⋊Dic3)C22×D412yes—
705C3×C3⋊Dic3C22×D412yes—
706C32×Dic3—22no—
707C32×Dic3C22×D412yes—
708C24×D3—181no—
709C24×D3—184no—
710C2×C3×#41—34no—
711C22×C3×D4—34no—
712C22×C3×D4—91no—
713C22×C3×D4—91no—
714C22×#67—181no—
715C22×#67—184no—
716C22×#67—181no—
717C23×Dic3—181no—
718D3×#41—932no—
719D3×#41—1816no—
720C2×#239—94no—
721C2×D3×Q8—94no—
722C2×#237—94no—
723C2×#237—91no—
724C2×#237—98no—
725C2×#237—91no—
726C2×#237—91no—
727C2×#237—184no—
728C2×#237—184no—
729C2×#237—181no—
730C2×#237—181no—
731C2×#237—184no—
732C2×#237C2×C3⋊D311yescharacteristic, complemented
733C2×D3×D4—34no—
734C2×D3×D4—34no—
735C2×D3×D4—94no—
736C2×D3×D4—94no—
737C2×D3×D4—932no—
738C2×D3×D4—94no—
739C2×D3×D4—91no—
740C2×D3×D4—98no—
741C2×D3×D4—91no—
742C2×D3×D4—91no—
743C2×D3×D4—184no—
744C2×D3×D4—184no—
745C2×D3×D4—1816no—
746C2×D3×D4—181no—
747C2×D3×D4—184no—
748C2×D3×D4—184no—
749C2×D3×D4—181no—
750C2×D3×D4—184no—
751C2×D3×D4C2×C3⋊D311yescharacteristic, complemented
752C2×#235—94no—
753C2×#235—184no—
754C22×D12—94no—
755C22×D12—91no—
756C22×C4×D3—94no—
757C22×C4×D3—91no—
758C22×C4×D3—184no—
759C22×Dic6—91no—
760C3×AGL(1,ℤ/8)—332no—
761C2×C3×SD16—34no—
762C2×C3×SD16—34no—
763C2×C3×D8—24no—
764C2×C3×D8—34no—
765C2×C3×D8—91no—
766C2×C3×D8—91no—
767C2×C3×D8—98no—
768C2×C3×D8—91no—
769C2×C3×D8D3214yescomplemented
770C2×C3×D8C2×C3⋊D311yescharacteristic, complemented
771C2×C3×M16—34no—
772C22×C3×C8—91no—
773#949—932no—
774C2×#215—94no—
775C2×#215—94no—
776C2×#214—94no—
777C2×#214—94no—
778C2×#214—91no—
779C2×#214—91no—
780C2×#214—98no—
781C2×#214—91no—
782C2×#214—184no—
783C2×#214C2×C3⋊D311yescharacteristic, complemented
784#932—932no—
785C2×#213—34no—
786C2×#213—34no—
787C2×#213—94no—
788C2×#213—94no—
789C2×#213—91no—
790C2×#213—91no—
791C2×#213—98no—
792C2×#213—91no—
793C2×#213—184no—
794C2×#213C2×C3⋊D311yescharacteristic, complemented
795C2×#208—94no—
796C22×C3⋊C8—91no—
797#914—932no—
798#914—932no—
799D3×SD16—932no—
800D3×SD16—932no—
801#911—932no—
802#911—98no—
803#911—98no—
804#911—932no—
805#911—98no—
806#911—98no—
807#911—98no—
808#911—98no—
809#911—98no—
810#911—1832no—
811#911C2×C3⋊D318yesdirect product factor
812D3×D8—332no—
813D3×D8—932no—
814#908—932no—
815D3×M16—932no—
816C2×D24—34no—
817C2×D24—94no—
818C2×#204—94no—
819C2×#204—91no—
820C2×#204—91no—
821C2×#204—94no—
822C2×#204—91no—
823C2×#204—98no—
824C2×#204—184no—
825C2×#204C2×C3⋊D311yescharacteristic, complemented
826C2×ΓL(1,𝔽25)—94no—
827C2×ΓL(1,𝔽25)—91no—
828C2×ΓL(1,𝔽25)—94no—
829C2×ΓL(1,𝔽25)—91no—
830C2×ΓL(1,𝔽25)—91no—
831C2×ΓL(1,𝔽25)—98no—
832C2×ΓL(1,𝔽25)—184no—
833C2×ΓL(1,𝔽25)C2×C3⋊D311yescharacteristic, complemented
834C2×D3×C8—34no—
835C2×D3×C8—94no—
836C23×C32—21no—
837C23×C32—21no—
838C23×C32—24no—
839C23×C32—24no—
840C23×C32—31no—
841C23×C32—44no—
842C23×C32—44no—
843C23×C32—64no—
844C23×C32—61no—
845C23×C32—124no—
846C22×C3⋊D3—21no—
847C22×C3⋊D3—21no—
848C22×C3⋊D3—24no—
849C22×C3⋊D3—24no—
850C22×C3⋊D3—31no—
851C22×C3⋊D3—34no—
852C22×C3⋊D3—34no—
853C22×C3⋊D3—44no—
854C22×C3⋊D3—44no—
855C22×C3⋊D3—64no—
856C22×C3⋊D3—64no—
857C22×C3⋊D3—64no—
858C22×C3⋊D3—64no—
859C22×C3⋊D3—64no—
860C22×C3⋊D3—61no—
861C22×C3⋊D3—64no—
862C22×C3⋊D3—616no—
863C22×C3⋊D3—64no—
864C22×C3⋊D3—1216no—
865C22×C3⋊D3—124no—
866C22×C3⋊D3—124no—
867C22×C3⋊D3—1232no—
868C22×C3⋊D3—124no—
869C22×C3⋊D3—124no—
870C22×C3⋊D3—124no—
871C22×C3⋊D3—1216no—
872C22×C3⋊D3—2416no—
873C22×C3⋊D3D3×D411yescharacteristic
874C22×C3×D3—24no—
875C22×C3×D3—216no—
876C22×C3×D3—34no—
877C22×C3×D3—416no—
878C22×C3×D3—616no—
879C22×C3×D3—616no—
880C22×C3×D3—64no—
881C22×C3×D3—64no—
882C22×C3×D3—1216no—
883C22×C3×D3—1216no—
884C22×C3×D3D3×D414yes—
885C2×D32—316no—
886C2×D32—616no—
887C2×D32—616no—
888C2×D32—616no—
889C2×D32—616no—
890C2×D32—12128no—
891C2×D32—1216no—
892C2×D32—1216no—
893C2×D32—1216no—
894C32×Q8—32no—
895C32×Q8—61no—
896C32×D4—21no—
897C32×D4—21no—
898C32×D4—28no—
899C32×D4—28no—
900C32×D4—24no—
901C32×D4—24no—
902C32×D4—32no—
903C32×D4—44no—
904C32×D4—44no—
905C32×D4—64no—
906C32×D4—64no—
907C32×D4—61no—
908C32×D4C23×D318yes—
909C32×D4C23×D312yes—
910C32×D4C23×D318yescomplemented
911C32×D4C23×D312yescomplemented
912C2×C32×C4—24no—
913C2×C32×C4—31no—
914C2×C32×C4—32no—
915C2×C32×C4—32no—
916C2×C32×C4—64no—
917C2×C32×C4—61no—
918C2×C32×C4C23×D314yes—
919C2×C32×C4C23×D311yescharacteristic
920#638—24no—
921#638—24no—
922#638—64no—
923#638—64no—
924#638—64no—
925#638—64no—
926#638—64no—
927#638—616no—
928#638—616no—
929#638—1216no—
930#638—1216no—
931C2×C3⋊Dic3—31no—
932C2×C3⋊Dic3—34no—
933C2×C3⋊Dic3—34no—
934C2×C3⋊Dic3—64no—
935C2×C3⋊Dic3—64no—
936C2×C3⋊Dic3—61no—
937C2×C3⋊Dic3—616no—
938C2×C3⋊Dic3—64no—
939C2×C3⋊Dic3—1216no—
940C2×C3⋊Dic3—124no—
941C2×C3⋊Dic3D3×D411yescharacteristic
942C4⋊(C3⋊D3)—21no—
943C4⋊(C3⋊D3)—21no—
944C4⋊(C3⋊D3)—32no—
945C4⋊(C3⋊D3)—38no—
946C4⋊(C3⋊D3)—68no—
947C4⋊(C3⋊D3)—64no—
948C4⋊(C3⋊D3)—64no—
949C4⋊(C3⋊D3)—61no—
950C4⋊(C3⋊D3)—64no—
951C4⋊(C3⋊D3)—124no—
952C4⋊(C3⋊D3)C23×D312yes—
953C4⋊(C3⋊D3)C23×D312yescomplemented
954C4×C3⋊D3—34no—
955C4×C3⋊D3—32no—
956C4×C3⋊D3—32no—
957C4×C3⋊D3—34no—
958C4×C3⋊D3—38no—
959C4×C3⋊D3—38no—
960C4×C3⋊D3—68no—
961C4×C3⋊D3—68no—
962C4×C3⋊D3—64no—
963C4×C3⋊D3—64no—
964C4×C3⋊D3—64no—
965C4×C3⋊D3D3×D412yes—
966C4×C3⋊D3C23×D312yes—
967#634—32no—
968#634—38no—
969#634—68no—
970#634—61no—
971#634—64no—
972#634—64no—
973#634—124no—
974C3×#67—216no—
975C3×#67—216no—
976C3×#67—616no—
977C3×#67—616no—
978C2×C3×Dic3—24no—
979C2×C3×Dic3—216no—
980C2×C3×Dic3—34no—
981C2×C3×Dic3D3×D414yes—
982C3×D12—24no—
983C3×D12—38no—
984C3×D12—38no—
985C3×D12—64no—
986C3×D12—64no—
987C3×D12C23×D318yes—
988C3×C4×D3—38no—
989C3×C4×D3—38no—
990C3×C4×D3D3×D418yes—
991C3×C4×D3C23×D318yes—
992C3×Dic6—24no—
993C3×Dic6C23×D318yescomplemented
994#627—616no—
995#626—616no—
996#626—616no—
997#626—616no—
998#625—616no—
999#625—616no—
1000#624—316no—
1001D3×Dic3—316no—
1002D3×Dic3—316no—
1003D3×Dic3—616no—
1004D3×Dic3—616no—
1005D3×Dic3—616no—
1006C32×C8—28no—
1007C32×C8—32no—
1008C32×C8C23×D318yescomplemented
1009C32×C8C23×D312yescomplemented
1010C3⋊(C3⋊C8)—32no—
1011C3⋊(C3⋊C8)—38no—
1012C3⋊(C3⋊C8)—68no—
1013C3⋊(C3⋊C8)C23×D312yescomplemented
1014C3×C3⋊C8—38no—
1015C3×C3⋊C8C23×D318yescomplemented
1016C22×#41—271no—
1017C23×D4—271no—
1018C2×AGL(1,ℤ/8)—31no—
1019C2×AGL(1,ℤ/8)—271no—
1020C2×AGL(1,ℤ/8)—271no—
1021C2×AGL(1,ℤ/8)—271no—
1022C2×AGL(1,ℤ/8)—271no—
1023C2×AGL(1,ℤ/8)—2716no—
1024C2×AGL(1,ℤ/8)—271no—
1025C2×AGL(1,ℤ/8)—271no—
1026C2×AGL(1,ℤ/8)—271no—
1027C22×SD16—271no—
1028C22×SD16—271no—
1029C22×D8—91no—
1030C22×D8—271no—
1031C22×M16—271no—
1032C2×C33—42no—
1033C2×C33—42no—
1034C2×C33C2×AGL(1,ℤ/8)12yescomplemented
1035C2×C33C23×D411yescharacteristic
1036C3⋊(C3⋊D3)—22no—
1037C3⋊(C3⋊D3)—42no—
1038C3×C3⋊D3—42no—
1039C3×C3⋊D3—42no—
1040C3×C3⋊D3C2×AGL(1,ℤ/8)14yescomplemented
1041C32×D3—22no—
1042C32×D3—42no—
1043C24×C3—64no—
1044C24×C3—181no—
1045C24×C3—181no—
1046C23×D3—21no—
1047C23×D3—64no—
1048C23×D3—64no—
1049C23×D3—94no—
1050C23×D3—91no—
1051C23×D3—181no—
1052C23×D3—188no—
1053C23×D3—181no—
1054C23×D3—184no—
1055C23×D3—1832no—
1056C23×D3—184no—
1057C23×D3—184no—
1058C23×D3—181no—
1059C23×D3—184no—
1060C23×D3—181no—
1061C23×D3—364no—
1062C23×D3—368no—
1063C23×D3—3632no—
1064C3×#41—316no—
1065C3×#41—68no—
1066C2×C3×Q8—34no—
1067C2×C3×D4—24no—
1068C2×C3×D4—24no—
1069C2×C3×D4—316no—
1070C2×C3×D4—34no—
1071C2×C3×D4—68no—
1072C2×C3×D4—64no—
1073C2×C3×D4—64no—
1074C2×C3×D4—94no—
1075C2×C3×D4—94no—
1076C2×C3×D4—91no—
1077C2×C3×D4—91no—
1078C2×C3×D4—182no—
1079C2×C3×D4—182no—
1080C2×C3×D4—181no—
1081C2×C3×D4—181no—
1082C2×C3×D4C2×D3214yes—
1083C2×C3×D4C2×D3214yescomplemented
1084C2×C3×D4C22×C3⋊D311yescharacteristic
1085C2×C3×D4C22×C3⋊D311yescharacteristic, complemented
1086C22×C3×C4—34no—
1087C22×C3×C4—64no—
1088C22×C3×C4—91no—
1089C2×#67—21no—
1090C2×#67—21no—
1091C2×#67—64no—
1092C2×#67—64no—
1093C2×#67—181no—
1094C2×#67—184no—
1095C2×#67—188no—
1096C2×#67—1832no—
1097C2×#67—181no—
1098C2×#67—184no—
1099C2×#67—181no—
1100C2×#67—184no—
1101C2×#67—188no—
1102C2×#67—184no—
1103C2×#67—184no—
1104C2×#67—181no—
1105C2×#67—181no—
1106C2×#67—181no—
1107C2×#67—364no—
1108C2×#67—364no—
1109C22×Dic3—21no—
1110C22×Dic3—94no—
1111C22×Dic3—91no—
1112C22×Dic3—181no—
1113C22×Dic3—188no—
1114C22×Dic3—181no—
1115C22×Dic3—184no—
1116C22×Dic3—181no—
1117C22×Dic3—181no—
1118C22×Dic3—364no—
1119#239—916no—
1120#239—188no—
1121D3×Q8—916no—
1122D3×Q8—188no—
1123#237—22no—
1124#237—916no—
1125#237—94no—
1126#237—94no—
1127#237—94no—
1128#237—1816no—
1129#237—182no—
1130#237—188no—
1131#237—188no—
1132#237—182no—
1133#237—188no—
1134#237—1832no—
1135#237—182no—
1136#237—368no—
1137#237C22×C3⋊D314yescomplemented
1138D3×D4—22no—
1139D3×D4—316no—
1140D3×D4—316no—
1141D3×D4—68no—
1142D3×D4—68no—
1143D3×D4—916no—
1144D3×D4—916no—
1145D3×D4—916no—
1146D3×D4—94no—
1147D3×D4—94no—
1148D3×D4—94no—
1149D3×D4—1816no—
1150D3×D4—188no—
1151D3×D4—182no—
1152D3×D4—188no—
1153D3×D4—188no—
1154D3×D4—1832no—
1155D3×D4—182no—
1156D3×D4—188no—
1157D3×D4—1832no—
1158D3×D4—188no—
1159D3×D4—1832no—
1160D3×D4—182no—
1161D3×D4—368no—
1162D3×D4C22×C3⋊D314yescomplemented
1163#235—916no—
1164#235—1832no—
1165#235—188no—
1166C2×D12—34no—
1167C2×D12—34no—
1168C2×D12—916no—
1169C2×D12—94no—
1170C2×D12—91no—
1171C2×D12—94no—
1172C2×D12—184no—
1173C2×D12—182no—
1174C2×D12—188no—
1175C2×D12—184no—
1176C2×D12—184no—
1177C2×D12—181no—
1178C2×D12C22×C3⋊D311yescharacteristic
1179C2×C4×D3—34no—
1180C2×C4×D3—916no—
1181C2×C4×D3—916no—
1182C2×C4×D3—94no—
1183C2×C4×D3—94no—
1184C2×C4×D3—91no—
1185C2×C4×D3—94no—
1186C2×C4×D3—91no—
1187C2×C4×D3—91no—
1188C2×C4×D3—94no—
1189C2×C4×D3—94no—
1190C2×C4×D3—184no—
1191C2×C4×D3—1832no—
1192C2×C4×D3—184no—
1193C2×C4×D3—184no—
1194C2×C4×D3—184no—
1195C2×C4×D3C22×C3⋊D311yescharacteristic
1196C2×Dic6—94no—
1197C2×Dic6—91no—
1198C2×Dic6—94no—
1199C2×Dic6—184no—
1200C2×Dic6—182no—
1201C2×Dic6—181no—
1202C2×Dic6—184no—
1203C2×Dic6C22×C3⋊D311yescharacteristic, complemented
1204C3×SD16—316no—
1205C3×SD16—316no—
1206C3×D8—216no—
1207C3×D8—316no—
1208C3×D8—94no—
1209C3×D8—94no—
1210C3×D8—94no—
1211C3×D8C2×D32116yescomplemented
1212C3×D8C22×C3⋊D314yescomplemented
1213C3×M16—316no—
1214C2×C3×C8—24no—
1215C2×C3×C8—34no—
1216C2×C3×C8—91no—
1217C2×C3×C8—94no—
1218C2×C3×C8C2×D3214yescomplemented
1219C2×C3×C8C22×C3⋊D311yescharacteristic, complemented
1220#215—916no—
1221#215—916no—
1222#214—916no—
1223#214—916no—
1224#214—94no—
1225#214—94no—
1226#214—94no—
1227#214—1816no—
1228#214C22×C3⋊D314yescomplemented
1229#213—316no—
1230#213—316no—
1231#213—916no—
1232#213—916no—
1233#213—94no—
1234#213—94no—
1235#213—94no—
1236#213—1816no—
1237#213C22×C3⋊D314yescomplemented
1238#208—916no—
1239C2×C3⋊C8—34no—
1240C2×C3⋊C8—94no—
1241C2×C3⋊C8—91no—
1242C2×C3⋊C8—94no—
1243C2×C3⋊C8—184no—
1244C2×C3⋊C8C22×C3⋊D311yescharacteristic, complemented
1245D24—316no—
1246D24—916no—
1247#204—916no—
1248#204—94no—
1249#204—94no—
1250#204—916no—
1251#204—94no—
1252#204—1816no—
1253#204C22×C3⋊D314yescomplemented
1254ΓL(1,𝔽25)—916no—
1255ΓL(1,𝔽25)—94no—
1256ΓL(1,𝔽25)—916no—
1257ΓL(1,𝔽25)—94no—
1258ΓL(1,𝔽25)—94no—
1259ΓL(1,𝔽25)—1816no—
1260ΓL(1,𝔽25)C22×C3⋊D314yescomplemented
1261D3×C8—316no—
1262D3×C8—916no—
1263C22×C32—22no—
1264C22×C32—22no—
1265C22×C32—24no—
1266C22×C32—28no—
1267C22×C32—28no—
1268C22×C32—32no—
1269C22×C32—48no—
1270C22×C32—48no—
1271C22×C32—42no—
1272C22×C32—42no—
1273C22×C32—48no—
1274C22×C32—48no—
1275C22×C32—62no—
1276C22×C32—62no—
1277C22×C32—88no—
1278C22×C32—88no—
1279C22×C32—128no—
1280C22×C32—122no—
1281C22×C32C2×D3×D414yes—
1282C22×C32C2×D3×D411yescharacteristic
1283C2×C3⋊D3—22no—
1284C2×C3⋊D3—22no—
1285C2×C3⋊D3—32no—
1286C2×C3⋊D3—38no—
1287C2×C3⋊D3—42no—
1288C2×C3⋊D3—42no—
1289C2×C3⋊D3—48no—
1290C2×C3⋊D3—48no—
1291C2×C3⋊D3—68no—
1292C2×C3⋊D3—62no—
1293C2×C3⋊D3—68no—
1294C2×C3⋊D3—62no—
1295C2×C3⋊D3—68no—
1296C2×C3⋊D3—68no—
1297C2×C3⋊D3—128no—
1298C2×C3⋊D3—128no—
1299C2×C3⋊D3—128no—
1300C2×C3⋊D3—128no—
1301C2×C3⋊D3—128no—
1302C2×C3⋊D3—122no—
1303C2×C3⋊D3—128no—
1304C2×C3⋊D3—1232no—
1305C2×C3⋊D3—128no—
1306C2×C3⋊D3—2432no—
1307C2×C3⋊D3—248no—
1308C2×C3⋊D3#91114yesdirect product factor
1309C2×C3⋊D3C2×D3×D412yes—
1310C2×C3×D3—28no—
1311C2×C3×D3—28no—
1312C2×C3×D3—38no—
1313C2×C3×D3—316no—
1314C2×C3×D3—432no—
1315C2×C3×D3—48no—
1316C2×C3×D3—68no—
1317C2×C3×D3—68no—
1318C2×C3×D3—1232no—
1319C2×C3×D3—1232no—
1320C2×C3×D3—128no—
1321C2×C3×D3—128no—
1322C2×C3×D3C2×D3×D418yes—
1323D32—632no—
1324D32—1232no—
1325D32—1232no—
1326D32—1232no—
1327C32×C4—24no—
1328C32×C4—24no—
1329C32×C4—32no—
1330C32×C4—62no—
1331C32×C4C2×D3×D414yes—
1332C32×C4C2×D3×D411yescharacteristic
1333C32×C4C24×D314yes—
1334C32×C4C24×D311yescharacteristic
1335C3⋊Dic3—32no—
1336C3⋊Dic3—38no—
1337C3⋊Dic3—68no—
1338C3⋊Dic3—62no—
1339C3⋊Dic3—68no—
1340C3⋊Dic3—128no—
1341C3⋊Dic3C2×D3×D412yes—
1342C3×Dic3—28no—
1343C3×Dic3—38no—
1344C3×Dic3C2×D3×D418yes—
1345C25—541no—
1346C2×#41—31no—
1347C2×#41—271no—
1348C2×#41—271no—
1349C2×#41—278no—
1350C2×#41—271no—
1351C2×#41—541no—
1352C2×#41—541no—
1353C2×#41—544no—
1354C22×Q8—271no—
1355C22×D4—31no—
1356C22×D4—91no—
1357C22×D4—91no—
1358C22×D4—271no—
1359C22×D4—271no—
1360C22×D4—278no—
1361C22×D4—271no—
1362C22×D4—271no—
1363C22×D4—544no—
1364C22×D4—541no—
1365C22×D4—541no—
1366C22×D4—541no—
1367C22×D4—541no—
1368C23×C4—271no—
1369C23×C4—541no—
1370AGL(1,ℤ/8)—38no—
1371AGL(1,ℤ/8)—278no—
1372AGL(1,ℤ/8)—278no—
1373AGL(1,ℤ/8)—278no—
1374AGL(1,ℤ/8)—278no—
1375AGL(1,ℤ/8)—278no—
1376AGL(1,ℤ/8)—278no—
1377AGL(1,ℤ/8)—278no—
1378C2×SD16—31no—
1379C2×SD16—31no—
1380C2×SD16—271no—
1381C2×SD16—278no—
1382C2×SD16—271no—
1383C2×SD16—271no—
1384C2×SD16—278no—
1385C2×SD16—271no—
1386C2×SD16—271no—
1387C2×SD16—271no—
1388C2×D8—31no—
1389C2×D8—91no—
1390C2×D8—91no—
1391C2×D8—98no—
1392C2×D8—91no—
1393C2×D8—271no—
1394C2×D8—278no—
1395C2×D8—271no—
1396C2×D8—271no—
1397C2×D8D3×C3⋊D311yescharacteristic, complemented
1398C2×M16—31no—
1399C2×M16—271no—
1400C2×M16—278no—
1401C2×M16—271no—
1402C2×M16—271no—
1403C22×C8—91no—
1404C22×C8—271no—
1405C33C22×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
1406C23×C3—24no—
1407C23×C3—24no—
1408C23×C3—21no—
1409C23×C3—21no—
1410C23×C3—34no—
1411C23×C3—44no—
1412C23×C3—44no—
1413C23×C3—616no—
1414C23×C3—64no—
1415C23×C3—91no—
1416C23×C3—1216no—
1417C23×C3—184no—
1418C23×C3—184no—
1419C23×C3—181no—
1420C23×C3—181no—
1421C23×C3—364no—
1422C23×C3—364no—
1423C22×D3—21no—
1424C22×D3—24no—
1425C22×D3—34no—
1426C22×D3—44no—
1427C22×D3—616no—
1428C22×D3—616no—
1429C22×D3—64no—
1430C22×D3—64no—
1431C22×D3—916no—
1432C22×D3—94no—
1433C22×D3—91no—
1434C22×D3—94no—
1435C22×D3—1216no—
1436C22×D3—1216no—
1437C22×D3—184no—
1438C22×D3—184no—
1439C22×D3—184no—
1440C22×D3—184no—
1441C22×D3—1816no—
1442C22×D3—1816no—
1443C22×D3—1816no—
1444C22×D3—1816no—
1445C22×D3—184no—
1446C22×D3—1816no—
1447C22×D3—184no—
1448C22×D3—181no—
1449C22×D3—184no—
1450C22×D3—3616no—
1451C22×D3—364no—
1452C22×D3—364no—
1453C22×D3—3616no—
1454C22×D3—3632no—
1455C22×D3—364no—
1456C22×D3—364no—
1457C22×D3—36128no—
1458C22×D3—3616no—
1459C22×D3—3616no—
1460C22×D3—364no—
1461C22×D3—3616no—
1462C22×D3—7216no—
1463C22×D3D4×C3⋊D311yescharacteristic
1464C3×Q8—38no—
1465C3×Q8—64no—
1466C3×D4—24no—
1467C3×D4—24no—
1468C3×D4—21no—
1469C3×D4—21no—
1470C3×D4—28no—
1471C3×D4—28no—
1472C3×D4—38no—
1473C3×D4—44no—
1474C3×D4—44no—
1475C3×D4—616no—
1476C3×D4—616no—
1477C3×D4—64no—
1478C3×D4—92no—
1479C3×D4—92no—
1480C3×D4—184no—
1481C3×D4—184no—
1482C3×D4—181no—
1483C3×D4—181no—
1484C3×D4C22×D3218yes—
1485C3×D4C22×D3218yescomplemented
1486C3×D4C23×C3⋊D312yes—
1487C3×D4C23×C3⋊D312yescomplemented
1488C2×C3×C4—24no—
1489C2×C3×C4—34no—
1490C2×C3×C4—38no—
1491C2×C3×C4—38no—
1492C2×C3×C4—616no—
1493C2×C3×C4—64no—
1494C2×C3×C4—91no—
1495C2×C3×C4—92no—
1496C2×C3×C4—92no—
1497C2×C3×C4C22×D3214yes—
1498C2×C3×C4C23×C3⋊D311yescharacteristic
1499#67—24no—
1500#67—24no—
1501#67—616no—
1502#67—616no—
1503#67—184no—
1504#67—1816no—
1505#67—184no—
1506#67—1816no—
1507#67—184no—
1508#67—1816no—
1509#67—1816no—
1510#67—184no—
1511#67—1816no—
1512#67—184no—
1513#67—184no—
1514#67—3616no—
1515#67—3616no—
1516C2×Dic3—21no—
1517C2×Dic3—24no—
1518C2×Dic3—34no—
1519C2×Dic3—916no—
1520C2×Dic3—94no—
1521C2×Dic3—91no—
1522C2×Dic3—94no—
1523C2×Dic3—184no—
1524C2×Dic3—184no—
1525C2×Dic3—184no—
1526C2×Dic3—184no—
1527C2×Dic3—1816no—
1528C2×Dic3—184no—
1529C2×Dic3—181no—
1530C2×Dic3—184no—
1531C2×Dic3—3616no—
1532C2×Dic3—364no—
1533C2×Dic3D4×C3⋊D311yescharacteristic
1534D12—21no—
1535D12—38no—
1536D12—38no—
1537D12—64no—
1538D12—64no—
1539D12—98no—
1540D12—92no—
1541D12—188no—
1542D12—1816no—
1543D12—1816no—
1544D12—184no—
1545D12—184no—
1546D12—181no—
1547D12—364no—
1548D12C23×C3⋊D312yes—
1549C4×D3—38no—
1550C4×D3—38no—
1551C4×D3—916no—
1552C4×D3—916no—
1553C4×D3—94no—
1554C4×D3—98no—
1555C4×D3—92no—
1556C4×D3—98no—
1557C4×D3—92no—
1558C4×D3—94no—
1559C4×D3—188no—
1560C4×D3—188no—
1561C4×D3—1816no—
1562C4×D3—1816no—
1563C4×D3—1816no—
1564C4×D3D4×C3⋊D312yes—
1565C4×D3C23×C3⋊D312yes—
1566Dic6—21no—
1567Dic6—98no—
1568Dic6—92no—
1569Dic6—188no—
1570Dic6—184no—
1571Dic6—1816no—
1572Dic6—184no—
1573Dic6—181no—
1574Dic6—364no—
1575Dic6C23×C3⋊D312yescomplemented
1576C3×C8—28no—
1577C3×C8—38no—
1578C3×C8—92no—
1579C3×C8C22×D3218yescomplemented
1580C3×C8C23×C3⋊D312yescomplemented
1581C3⋊C8—38no—
1582C3⋊C8—98no—
1583C3⋊C8—92no—
1584C3⋊C8—188no—
1585C3⋊C8C23×C3⋊D312yescomplemented
1586C2×C32—24no—
1587C2×C32—28no—
1588C2×C32—42no—
1589C2×C32—42no—
1590C2×C32—48no—
1591C2×C32—48no—
1592C2×C32—62no—
1593C2×C32—88no—
1594C2×C32—88no—
1595C2×C32—122no—
1596C2×C32C2×#91112yescomplemented
1597C2×C32D3×AGL(1,ℤ/8)18yescomplemented
1598C2×C32C22×D3×D414yes—
1599C2×C32C22×D3×D411yescharacteristic
1600C3⋊D3—42no—
1601C3⋊D3—42no—
1602C3⋊D3—62no—
1603C3⋊D3—68no—
1604C3⋊D3—128no—
1605C3⋊D3—122no—
1606C3⋊D3—128no—
1607C3⋊D3—248no—
1608C3⋊D3C2×#91114yesdirect product factor
1609C3×D3—28no—
1610C3×D3—316no—
1611C3×D3—48no—
1612C3×D3—128no—
1613C3×D3—128no—
1614C24—61no—
1615C24—181no—
1616C24—181no—
1617C24—271no—
1618C24—541no—
1619C24—541no—
1620C24—541no—
1621C24—548no—
1622C24—541no—
1623C24—1088no—
1624#41—34no—
1625#41—62no—
1626#41—274no—
1627#41—274no—
1628#41—274no—
1629#41—542no—
1630#41—548no—
1631#41—542no—
1632#41—548no—
1633#41—542no—
1634C2×Q8—31no—
1635C2×Q8—274no—
1636C2×Q8—271no—
1637C2×Q8—541no—
1638C2×Q8—542no—
1639C2×D4—34no—
1640C2×D4—31no—
1641C2×D4—62no—
1642C2×D4—61no—
1643C2×D4—61no—
1644C2×D4—94no—
1645C2×D4—94no—
1646C2×D4—91no—
1647C2×D4—91no—
1648C2×D4—182no—
1649C2×D4—182no—
1650C2×D4—181no—
1651C2×D4—181no—
1652C2×D4—274no—
1653C2×D4—274no—
1654C2×D4—274no—
1655C2×D4—274no—
1656C2×D4—271no—
1657C2×D4—542no—
1658C2×D4—541no—
1659C2×D4—541no—
1660C2×D4—542no—
1661C2×D4—541no—
1662C2×D4—542no—
1663C2×D4—548no—
1664C2×D4—542no—
1665C2×D4—548no—
1666C2×D4—548no—
1667C2×D4—541no—
1668C2×D4—541no—
1669C2×D4—548no—
1670C2×D4—541no—
1671C2×D4—541no—
1672C2×D4C2×D3×C3⋊D311yescharacteristic
1673C2×D4C2×D3×C3⋊D311yescharacteristic, complemented
1674C22×C4—31no—
1675C22×C4—61no—
1676C22×C4—91no—
1677C22×C4—274no—
1678C22×C4—271no—
1679C22×C4—274no—
1680C22×C4—271no—
1681C22×C4—271no—
1682C22×C4—271no—
1683C22×C4—541no—
1684C22×C4—548no—
1685C22×C4—541no—
1686C22×C4—541no—
1687C22×C4—541no—
1688SD16—34no—
1689SD16—34no—
1690SD16—274no—
1691SD16—274no—
1692SD16—274no—
1693SD16—274no—
1694SD16—274no—
1695SD16—274no—
1696D8—34no—
1697D8—94no—
1698D8—94no—
1699D8—94no—
1700D8—274no—
1701D8—274no—
1702D8—274no—
1703D8C2×D3×C3⋊D314yescomplemented
1704M16—34no—
1705M16—274no—
1706M16—274no—
1707M16—274no—
1708C2×C8—31no—
1709C2×C8—91no—
1710C2×C8—94no—
1711C2×C8—274no—
1712C2×C8—271no—
1713C2×C8C2×D3×C3⋊D311yescharacteristic, complemented
1714C22×C3—28no—
1715C22×C3—28no—
1716C22×C3—22no—
1717C22×C3—22no—
1718C22×C3—24no—
1719C22×C3—38no—
1720C22×C3—48no—
1721C22×C3—48no—
1722C22×C3—42no—
1723C22×C3—42no—
1724C22×C3—48no—
1725C22×C3—48no—
1726C22×C3—68no—
1727C22×C3—68no—
1728C22×C3—88no—
1729C22×C3—88no—
1730C22×C3—92no—
1731C22×C3—94no—
1732C22×C3—1232no—
1733C22×C3—128no—
1734C22×C3—182no—
1735C22×C3—182no—
1736C22×C3—368no—
1737C22×C3—368no—
1738C22×C3—362no—
1739C22×C3—362no—
1740C22×C3D32×D414yes—
1741C22×C3C2×D4×C3⋊D311yescharacteristic
1742C2×D3—22no—
1743C2×D3—22no—
1744C2×D3—38no—
1745C2×D3—316no—
1746C2×D3—48no—
1747C2×D3—42no—
1748C2×D3—68no—
1749C2×D3—68no—
1750C2×D3—98no—
1751C2×D3—92no—
1752C2×D3—1232no—
1753C2×D3—1232no—
1754C2×D3—128no—
1755C2×D3—128no—
1756C2×D3—188no—
1757C2×D3—188no—
1758C2×D3—1832no—
1759C2×D3—182no—
1760C2×D3—188no—
1761C2×D3—188no—
1762C2×D3—182no—
1763C2×D3—368no—
1764C2×D3—368no—
1765C2×D3—368no—
1766C2×D3—3632no—
1767C2×D3—368no—
1768C2×D3—368no—
1769C2×D3—3632no—
1770C2×D3—3632no—
1771C2×D3—368no—
1772C2×D3—3632no—
1773C2×D3—362no—
1774C2×D3—368no—
1775C2×D3—7232no—
1776C2×D3—728no—
1777C2×D3C2×D4×C3⋊D312yes—
1778C3×C4—24no—
1779C3×C4—24no—
1780C3×C4—38no—
1781C3×C4—68no—
1782C3×C4—92no—
1783C3×C4D32×D414yes—
1784C3×C4C2×D4×C3⋊D311yescharacteristic
1785C3×C4C23×D3214yes—
1786C3×C4C24×C3⋊D311yescharacteristic
1787Dic3—22no—
1788Dic3—38no—
1789Dic3—98no—
1790Dic3—92no—
1791Dic3—188no—
1792Dic3—188no—
1793Dic3—182no—
1794Dic3—368no—
1795Dic3C2×D4×C3⋊D312yes—
1796C32—24no—
1797C32C22×#91111yescharacteristic, complemented
1798C32C2×D3×AGL(1,ℤ/8)14yescomplemented
1799C23—21no—
1800C23—21no—
1801C23—31no—
1802C23—64no—
1803C23—61no—
1804C23—91no—
1805C23—124no—
1806C23—184no—
1807C23—184no—
1808C23—181no—
1809C23—181no—
1810C23—274no—
1811C23—271no—
1812C23—364no—
1813C23—364no—
1814C23—544no—
1815C23—544no—
1816C23—544no—
1817C23—544no—
1818C23—544no—
1819C23—541no—
1820C23—1084no—
1821C23—1084no—
1822C23—1084no—
1823C23—10832no—
1824C23—1084no—
1825Q8—32no—
1826Q8—61no—
1827Q8—272no—
1828Q8—544no—
1829Q8—541no—
1830D4—21no—
1831D4—21no—
1832D4—32no—
1833D4—64no—
1834D4—64no—
1835D4—61no—
1836D4—92no—
1837D4—92no—
1838D4—184no—
1839D4—184no—
1840D4—181no—
1841D4—181no—
1842D4—272no—
1843D4—544no—
1844D4—544no—
1845D4—544no—
1846D4—544no—
1847D4—544no—
1848D4—544no—
1849D4—544no—
1850D4—541no—
1851D4C22×D3×C3⋊D312yes—
1852D4C22×D3×C3⋊D312yescomplemented
1853C2×C4—31no—
1854C2×C4—32no—
1855C2×C4—32no—
1856C2×C4—64no—
1857C2×C4—61no—
1858C2×C4—91no—
1859C2×C4—92no—
1860C2×C4—92no—
1861C2×C4—274no—
1862C2×C4—274no—
1863C2×C4—274no—
1864C2×C4—271no—
1865C2×C4—272no—
1866C2×C4—272no—
1867C2×C4—544no—
1868C2×C4—544no—
1869C2×C4—544no—
1870C2×C4—544no—
1871C2×C4—541no—
1872C2×C4C22×D3×C3⋊D311yescharacteristic
1873C8—32no—
1874C8—92no—
1875C8—272no—
1876C8C22×D3×C3⋊D312yescomplemented
1877C2×C3—28no—
1878C2×C3—24no—
1879C2×C3—42no—
1880C2×C3—42no—
1881C2×C3—48no—
1882C2×C3—48no—
1883C2×C3—68no—
1884C2×C3—88no—
1885C2×C3—88no—
1886C2×C3—94no—
1887C2×C3—128no—
1888C2×C3—362no—
1889C2×C3—362no—
1890C2×C3D3×#91118yescomplemented
1891C2×C3C3⋊D3×AGL(1,ℤ/8)12yescomplemented
1892C2×C3C2×D32×D414yes—
1893C2×C3C22×D4×C3⋊D311yescharacteristic
1894D3—22no—
1895D3—316no—
1896D3—42no—
1897D3—128no—
1898D3—128no—
1899D3—182no—
1900D3—188no—
1901D3—368no—
1902D3—362no—
1903D3—368no—
1904D3—728no—
1905C22—22no—
1906C22—22no—
1907C22—32no—
1908C22—42no—
1909C22—42no—
1910C22—62no—
1911C22—62no—
1912C22—94no—
1913C22—92no—
1914C22—128no—
1915C22—122no—
1916C22—182no—
1917C22—182no—
1918C22—272no—
1919C22—368no—
1920C22—368no—
1921C22—362no—
1922C22—362no—
1923C22—548no—
1924C22—542no—
1925C22—542no—
1926C22—1088no—
1927C22—1088no—
1928C22—1088no—
1929C22—1088no—
1930C22—1082no—
1931C22D3×D4×C3⋊D311yescharacteristic
1932C4—32no—
1933C4—62no—
1934C4—92no—
1935C4—272no—
1936C4—542no—
1937C4D3×D4×C3⋊D311yescharacteristic
1938C4C23×D3×C3⋊D311yescharacteristic
1939C3—24no—
1940C3C2×C3⋊D3×AGL(1,ℤ/8)11yescharacteristic, complemented
1941C3C2×D3×#91114yescomplemented
1942C2—42no—
1943C2—42no—
1944C2—62no—
1945C2—94no—
1946C2—122no—
1947C2—362no—
1948C2—362no—
1949C2—542no—
1950C2—1082no—
1951C2C3⋊D3×#91112yesdirect product factor
1952C2C2×D3×D4×C3⋊D311yescharacteristic
subgroupG/H
centerC22D3×D4×C3⋊D3
commutator, cosocleC33×C4C25
FrattiniC4C23×D3×C3⋊D3
FittingC2×C33×D8C22
socleC22×C33C22×D4
hypercenterC2×D8D3×C3⋊D3
hypocenterC33C22×AGL(1,ℤ/8)
LCSG ▷ C33×C4 ▷ C2×C33 ▷ C33
UCSC1 ◁ C22 ◁ C2×C4 ◁ C2×D8

Complements

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

NH ≅ G/Ntype
1. C2×C3⋊D3×#237C2semidirect
2. C2×D3×D4×C3⋊D3C2semidirect
3. C2×#11723952C2semidirect
4. C2×C3×D8×C3⋊D3C2semidirect
5. C2×C32×#911C2semidirect
6. C2×#11723566C2semidirect
7. C2×#11723555C2semidirect
8. C2×C3⋊D3×#214C2semidirect
9. C2×#11723548C2semidirect
10. C2×#11723544C2semidirect
11. C2×C3⋊D3×#213C2semidirect
12. C3⋊D3×#911C2direct (N × H)
13. C2×#11723323C2semidirect
14. C2×#11723316C2semidirect
15. C2×C3⋊D3×#204C2semidirect
16. C2×C3⋊D3×ΓL(1,𝔽25)C2semidirect
20. C2×#89078C22semidirect
21. C2×D4×C3⋊(C3⋊D3)C22semidirect
23. C2×C3×D4×C3⋊D3C22semidirect
24. C2×C32×#237C22semidirect
25. C2×C32×D3×D4C22semidirect
34. C3⋊D3×#237C22semidirect
36. D3×D4×C3⋊D3C22semidirect
37. C2×#89026C22semidirect
39. C2×D3×C4⋊(C3⋊D3)C22semidirect
41. C2×#89021C22semidirect
42. C2×#89017C22semidirect
43. C2×C3⋊D3×Dic6C22semidirect
44. C2×C33×D8C22semidirect
45. C2×#88861C22semidirect
46. C2×#88860C22semidirect
47. #11723952C22semidirect
48. C2×#88851C22semidirect
49. C2×#88850C22semidirect
50. C2×C3×#3753C22semidirect
51. C2×C3×#3753C22semidirect
52. C3×D8×C3⋊D3C22semidirect
53. C2×C3×#3745C22semidirect
54. C2×C3×C8×C3⋊D3C22semidirect
55. C2×C32×#214C22semidirect
56. C2×C32×#213C22semidirect
57. C32×#911C22semidirect
58. C2×C32×#204C22semidirect
59. C2×C32×ΓL(1,𝔽25)C22semidirect
60. #11723566C22semidirect
61. #11723555C22semidirect
62. C3⋊D3×#214C22semidirect
63. #11723548C22semidirect
64. C3⋊D3×#213C22semidirect
65. #11723544C22semidirect
66. C2×#88796C22semidirect
67. C2×#88795C22semidirect
68. C2×#88794C22semidirect
69. C2×#88793C22semidirect
70. C2×#88791C22semidirect
71. C2×#88789C22semidirect
72. C2×#88788C22semidirect
73. C2×#88786C22semidirect
74. C2×C3⋊D3×C3⋊C8C22semidirect
75. #11723323C22semidirect
76. C3⋊D3×#204C22semidirect
77. #11723316C22semidirect
78. C3⋊D3×ΓL(1,𝔽25)C22semidirect
96. C2×D8×C3⋊D3D3semidirect
99. C2×C3×#911D3semidirect
123. C2×C33×D4C23semidirect
128. #89078C23semidirect
130. D4×C3⋊(C3⋊D3)C23semidirect
133. C2×#6308C23semidirect
139. C3×D4×C3⋊D3C23semidirect
141. C2×C3×C4⋊(C3⋊D3)C23semidirect
147. C32×#237C23semidirect
149. C32×D3×D4C23semidirect
152. C2×C32×Dic6C23semidirect
173. #89026C23semidirect
177. D3×C4⋊(C3⋊D3)C23semidirect
181. #89021C23semidirect
183. #89017C23semidirect
185. C3⋊D3×Dic6C23semidirect
186. C33×D8C23semidirect
187. C2×C33×C8C23semidirect
188. #88861C23semidirect
189. #88860C23semidirect
190. C2×C3⋊(C3⋊(C3⋊C8))C23semidirect
191. #88851C23semidirect
192. #88850C23semidirect
193. C3×#3753C23semidirect
194. C3×#3753C23semidirect
195. C2×C3×C3⋊(C3⋊C8)C23semidirect
196. C3×#3745C23semidirect
197. C3×C8×C3⋊D3C23semidirect
198. C32×#214C23semidirect
199. C32×#213C23semidirect
200. C2×C32×C3⋊C8C23semidirect
201. C32×#204C23semidirect
202. C32×ΓL(1,𝔽25)C23semidirect
203. #88796C23semidirect
204. #88795C23semidirect
205. #88794C23semidirect
206. #88793C23semidirect
207. #88791C23semidirect
208. #88789C23semidirect
209. #88788C23semidirect
210. #88786C23semidirect
211. C3⋊D3×C3⋊C8C23semidirect
238. C2×D4×C3⋊D3C2×D3semidirect
244. C2×C3×#237C2×D3semidirect
247. C2×C3×D3×D4C2×D3semidirect
271. C2×C32×D8C2×D3semidirect
272. C2×C32×D8C2×D3semidirect
286. C2×#3753C2×D3semidirect
287. C2×#3753C2×D3semidirect
298. D8×C3⋊D3C2×D3semidirect
302. C2×#3745C2×D3semidirect
312. C2×C8×C3⋊D3C2×D3semidirect
313. C2×C3×#214C2×D3semidirect
316. C2×C3×#213C2×D3semidirect
317. C3×#911C2×D3semidirect
320. C2×C3×#204C2×D3semidirect
321. C2×C3×ΓL(1,𝔽25)C2×D3semidirect
371. C33×D4C24semidirect
383. #6308C24semidirect
390. C3×C4⋊(C3⋊D3)C24semidirect
403. C32×Dic6C24semidirect
416. C33×C8C24semidirect
417. C3⋊(C3⋊(C3⋊C8))C24semidirect
418. C3×C3⋊(C3⋊C8)C24semidirect
419. C32×C3⋊C8C24semidirect
446. C2×#911C3⋊D3direct (N × H)
486. C2×C32×D4C22×D3semidirect
487. C2×C32×D4C22×D3semidirect
533. D4×C3⋊D3C22×D3semidirect
545. C2×C4⋊(C3⋊D3)C22×D3semidirect
568. C3×#237C22×D3semidirect
574. C3×D3×D4C22×D3semidirect
580. C2×C3×Dic6C22×D3semidirect
618. C32×D8C22×D3semidirect
619. C32×D8C22×D3semidirect
623. C2×C32×C8C22×D3semidirect
624. C2×C32×C8C22×D3semidirect
635. #3753C22×D3semidirect
636. #3753C22×D3semidirect
641. C2×C3⋊(C3⋊C8)C22×D3semidirect
643. #3745C22×D3semidirect
653. C8×C3⋊D3C22×D3semidirect
654. C3×#214C22×D3semidirect
657. C3×#213C22×D3semidirect
659. C2×C3×C3⋊C8C22×D3semidirect
661. C3×#204C22×D3semidirect
662. C3×ΓL(1,𝔽25)C22×D3semidirect
690. C2×C3×C3⋊D3AGL(1,ℤ/8)semidirect
732. C2×#237C2×C3⋊D3semidirect
751. C2×D3×D4C2×C3⋊D3semidirect
769. C2×C3×D8D32semidirect
770. C2×C3×D8C2×C3⋊D3semidirect
783. C2×#214C2×C3⋊D3semidirect
794. C2×#213C2×C3⋊D3semidirect
811. #911C2×C3⋊D3direct (N × H)
825. C2×#204C2×C3⋊D3semidirect
833. C2×ΓL(1,𝔽25)C2×C3⋊D3semidirect
910. C32×D4C23×D3semidirect
911. C32×D4C23×D3semidirect
953. C4⋊(C3⋊D3)C23×D3semidirect
993. C3×Dic6C23×D3semidirect
1008. C32×C8C23×D3semidirect
1009. C32×C8C23×D3semidirect
1013. C3⋊(C3⋊C8)C23×D3semidirect
1015. C3×C3⋊C8C23×D3semidirect
1034. C2×C33C2×AGL(1,ℤ/8)semidirect
1040. C3×C3⋊D3C2×AGL(1,ℤ/8)semidirect
1083. C2×C3×D4C2×D32semidirect
1085. C2×C3×D4C22×C3⋊D3semidirect
1137. #237C22×C3⋊D3semidirect
1162. D3×D4C22×C3⋊D3semidirect
1203. C2×Dic6C22×C3⋊D3semidirect
1211. C3×D8C2×D32semidirect
1212. C3×D8C22×C3⋊D3semidirect
1218. C2×C3×C8C2×D32semidirect
1219. C2×C3×C8C22×C3⋊D3semidirect
1228. #214C22×C3⋊D3semidirect
1237. #213C22×C3⋊D3semidirect
1244. C2×C3⋊C8C22×C3⋊D3semidirect
1253. #204C22×C3⋊D3semidirect
1260. ΓL(1,𝔽25)C22×C3⋊D3semidirect
1308. C2×C3⋊D3#911direct (N × H)
1397. C2×D8D3×C3⋊D3semidirect
1405. C33C22×AGL(1,ℤ/8)semidirect
1485. C3×D4C22×D32semidirect
1487. C3×D4C23×C3⋊D3semidirect
1575. Dic6C23×C3⋊D3semidirect
1579. C3×C8C22×D32semidirect
1580. C3×C8C23×C3⋊D3semidirect
1585. C3⋊C8C23×C3⋊D3semidirect
1596. C2×C32C2×#911semidirect
1597. C2×C32D3×AGL(1,ℤ/8)semidirect
1608. C3⋊D3C2×#911direct (N × H)
1673. C2×D4C2×D3×C3⋊D3semidirect
1703. D8C2×D3×C3⋊D3semidirect
1713. C2×C8C2×D3×C3⋊D3semidirect
1797. C32C22×#911semidirect
1798. C32C2×D3×AGL(1,ℤ/8)semidirect
1852. D4C22×D3×C3⋊D3semidirect
1876. C8C22×D3×C3⋊D3semidirect
1890. C2×C3D3×#911semidirect
1891. C2×C3C3⋊D3×AGL(1,ℤ/8)semidirect
1940. C3C2×C3⋊D3×AGL(1,ℤ/8)semidirect
1941. C3C2×D3×#911semidirect
1951. C2C3⋊D3×#911direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3⋊D3×#2372
C2×D3×D4×C3⋊D32
C2×#117239522
C2×C3×D8×C3⋊D32
C2×C32×#9112
C2×#117235662
C2×#117235552
C2×C3⋊D3×#2142
C2×#117235482
C2×#117235442
C2×C3⋊D3×#2132
C3⋊D3×#9112
C2×#117233232
C2×#117233162
C2×C3⋊D3×#2042
C2×C3⋊D3×ΓL(1,𝔽25)2
C2×D3×#9113
C2×C3⋊D3×AGL(1,ℤ/8)3