Finite Group Databasebeta

← C3×#10595135 #13174779

Subgroups — C3×#10595135 #13174779

Order 1728.

1744 conjugacy classes of subgroups.

The subgroup lattice has 1334 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#626C211yesmaximal, characteristic, complemented
2C2×C3×#3804C211yesmaximal, characteristic, complemented
3C3×#64146C211yesmaximal, characteristic, complemented
4C32×#937C211yesmaximal, characteristic, complemented
5C32×D4×Dic3C211yesmaximal, characteristic, complemented
6C3×#63978C211yesmaximal, characteristic, complemented
7C3×#63974C211yesmaximal, characteristic, complemented
8C3×#63971C211yesmaximal, characteristic, complemented
9C3×D3×#217C211yesmaximal, characteristic, complemented
10C3×#63964C211yesmaximal, characteristic, complemented
11C3×#63958C211yesmaximal, characteristic, complemented
12C3×#63890C211yesmaximal, characteristic, complemented
13C3×#63880C211yesmaximal, characteristic, complemented
14C3×#63854C211yesmaximal, characteristic, complemented
15C3×#63852C211yesmaximal, characteristic, complemented
16C3×#5591—31nomaximal
17C3×#5550—31nomaximal
18#10595135C311yesmaximal, characteristic, direct product factor
19C23×C3×C3⋊D3C2211yescharacteristic
20C23×C32×D3C2211yescharacteristic
21C2×C33×D4C2211yescharacteristic
22C2×C3×#638C2211yescharacteristic, complemented
23C2×C3×#638C2211yescharacteristic, complemented
24C2×C32×#67C2211yescharacteristic, complemented
25C2×C32×#67C2211yescharacteristic, complemented
26C22×C32×Dic3C2211yescharacteristic
27C22×C32×Dic3C2211yescharacteristic, complemented
28C2×C3×#627C2211yescharacteristic, complemented
29C2×C3×#626—24no—
30C2×C3×#626C2211yescharacteristic
31C2×C3×#626C2211yescharacteristic
32C2×C3×#626C2211yescharacteristic
33C2×C3×#626C2211yescharacteristic
34C2×C3×#624C2211yescharacteristic, complemented
35C2×C3×#624C2211yescharacteristic, complemented
36C3×#3804—24no—
37C2×C3×D3×Dic3C2211yescharacteristic, complemented
38C2×C3×D3×Dic3C2211yescharacteristic, complemented
39C3×#3757C2211yescharacteristic
40C3×#3752C2211yescharacteristic, complemented
41C3×#3752C2211yescharacteristic, complemented
42C32×#217C2211yescharacteristic
43C32×#217C2211yescharacteristic
44C32×#217C2211yescharacteristic, complemented
45C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
46C32×(C2×D3)⋊C4C2211yescharacteristic, complemented
47C32×C4⋊Dic3C2211yescharacteristic, complemented
48C32×C4×Dic3C2211yescharacteristic, complemented
49C3×#3724C2211yescharacteristic, complemented
50C3×Dic3⋊Dic3C2211yescharacteristic, complemented
51C3×Dic3⋊Dic3C2211yescharacteristic, complemented
52C3×#3722C2211yescharacteristic, complemented
53C3×#3722C2211yescharacteristic, complemented
54C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
55C3×(C2×D3)⋊Dic3C2211yescharacteristic, complemented
56C22×C3×#67—31no—
57C2×C3×#237—31no—
58C2×C3×#235—31no—
59C22×C3×D12—31no—
60C22×#626C2×C311yescharacteristic, complemented
61C2×#3804C2×C311yescharacteristic, complemented
62C32×#120—31no—
63C32×C4×D4—31no—
64#64146C2×C311yescharacteristic, complemented
65C2×C3×#217—31no—
66C3×#939—31no—
67C3×#939—31no—
68C3×#938—31no—
69C3×#937—21no—
70C3×#937—31no—
71C3×#937—31no—
72C3×#937—61no—
73C3×#937D311yescharacteristic, complemented
74C3×#937C2×C311yescharacteristic, complemented
75C3×D4×Dic3—21no—
76C3×D4×Dic3D311yescharacteristic, complemented
77C3×D4×Dic3C2×C311yescharacteristic, complemented
78C3×#930—31no—
79C3×#924—31no—
80C3×#894—31no—
81C3×#894—31no—
82C3×#886—31no—
83C3×#885—31no—
84C3×#884—31no—
85C3×#884—31no—
86C3×#883—31no—
87C3×#67⋊C4—31no—
88C3×D3×C22⋊C4—31no—
89C3×D3×C22⋊C4—31no—
90C3×D3×C22⋊C4—31no—
91C3×#878—31no—
92C3×#875—31no—
93C3×C4×D12—31no—
94#63978C2×C311yescharacteristic, complemented
95#63974C2×C311yescharacteristic, complemented
96#63971C2×C311yescharacteristic, complemented
97D3×#217C2×C311yescharacteristic, complemented
98#63964C2×C311yescharacteristic, complemented
99#63958C2×C311yescharacteristic, complemented
100#63890C2×C311yescharacteristic, complemented
101#63880C2×C311yescharacteristic, complemented
102#63854C2×C311yescharacteristic, complemented
103#63852C2×C311yescharacteristic, complemented
104C23×C33C2311yescharacteristic
105C23×C33C2311yescharacteristic
106C22×C3×C3⋊D3—22no—
107C22×C3×C3⋊D3—22no—
108C22×C3×C3⋊D3—41no—
109C22×C3×C3⋊D3C2311yescharacteristic
110C22×C3×C3⋊D3C2311yescharacteristic
111C22×C32×D3—22no—
112C22×C32×D3—22no—
113C22×C32×D3—41no—
114C22×C32×D3C2311yescharacteristic
115C22×C32×D3C2311yescharacteristic
116C33×D4—22no—
117C2×C33×C4C2311yescharacteristic
118C3×#638—22no—
119C3×#638—41no—
120C2×C3×C3⋊Dic3C2311yescharacteristic
121C2×C3×C3⋊Dic3C2311yescharacteristic
122C32×#67—22no—
123C32×#67—41no—
124C2×C32×Dic3—22no—
125C2×C32×Dic3—22no—
126C2×C32×Dic3C2311yescharacteristic
127C2×C32×Dic3C2311yescharacteristic
128C2×C32×Dic3C2311yescharacteristic
129C2×C32×Dic3C2311yescharacteristic
130C2×C32×Dic3C2311yescharacteristic
131C2×C32×Dic3C2311yescharacteristic
132C3×#627—22no—
133C3×#626—22no—
134C3×#626—22no—
135C3×#626—22no—
136C3×#626D414yescomplemented
137C3×#624—22no—
138C3×#624—41no—
139C3×D3×Dic3—22no—
140C3×D3×Dic3—41no—
141C3×#546—91no—
142#5591—31no—
143#5550—31no—
144C24×C32—31no—
145C23×C3⋊D3C22×C311yescharacteristic
146C23×C3×D3—21no—
147C23×C3×D3—31no—
148C23×C3×D3—31no—
149C23×C3×D3—61no—
150C23×C3×D3C2×D311yescharacteristic
151C23×C3×D3C22×C311yescharacteristic
152C2×C32×D4—21no—
153C2×C32×D4—21no—
154C2×C32×D4—21no—
155C2×C32×D4—31no—
156C2×C32×D4—31no—
157C2×C32×D4—41no—
158C2×C32×D4C2×D311yescharacteristic
159C2×C32×D4C2×D311yescharacteristic
160C2×C32×D4C22×C311yescharacteristic
161C22×C32×C4—31no—
162C22×C32×C4—31no—
163C2×#638C22×C311yescharacteristic, complemented
164C2×#638C22×C311yescharacteristic, complemented
165C2×C3×#67—21no—
166C2×C3×#67—21no—
167C2×C3×#67—31no—
168C2×C3×#67—31no—
169C2×C3×#67—31no—
170C2×C3×#67—31no—
171C2×C3×#67—31no—
172C2×C3×#67—31no—
173C2×C3×#67—31no—
174C2×C3×#67—31no—
175C2×C3×#67—64no—
176C2×C3×#67—61no—
177C2×C3×#67—61no—
178C2×C3×#67C2×D311yescharacteristic, complemented
179C2×C3×#67C2×D311yescharacteristic, complemented
180C2×C3×#67C22×C311yescharacteristic, complemented
181C2×C3×#67C22×C311yescharacteristic, complemented
182C22×C3×Dic3—21no—
183C22×C3×Dic3—21no—
184C22×C3×Dic3—31no—
185C22×C3×Dic3—31no—
186C22×C3×Dic3C2×D311yescharacteristic
187C22×C3×Dic3C2×D311yescharacteristic, complemented
188C22×C3×Dic3C22×C311yescharacteristic
189C22×C3×Dic3C22×C311yescharacteristic, complemented
190C3×#237—64no—
191C3×#235—64no—
192C2×C3×D12—31no—
193C2×C3×D12—31no—
194C2×C3×D12—31no—
195C2×C3×D12—31no—
196C2×C3×D12—64no—
197C2×C3×C4×D3—31no—
198C2×C3×C4×D3—31no—
199C2×C3×C4×D3—31no—
200C2×C3×C4×D3—31no—
201C2×C3×C4×D3—31no—
202C2×C3×C4×D3—31no—
203C2×C3×Dic6—31no—
204C2×C3×Dic6—31no—
205C2×#627C22×C311yescharacteristic, complemented
206C2×#626—24no—
207C2×#626C22×C311yescharacteristic
208C2×#626C22×C311yescharacteristic
209C2×#626C22×C311yescharacteristic
210C2×#626C22×C311yescharacteristic
211C2×#624C22×C311yescharacteristic, complemented
212C2×#624C22×C311yescharacteristic, complemented
213#3804—24no—
214C2×D3×Dic3C22×C311yescharacteristic, complemented
215C2×D3×Dic3C22×C311yescharacteristic, complemented
216C32×C4⋊C4—31no—
217C32×C22⋊C4—31no—
218C32×C22⋊C4—31no—
219C32×C22⋊C4—31no—
220C32×C22⋊C4—31no—
221C32×C22⋊C4—31no—
222C32×C42—31no—
223#3757C22×C311yescharacteristic
224#3752C22×C311yescharacteristic, complemented
225#3752C22×C311yescharacteristic, complemented
226C3×#217—21no—
227C3×#217—21no—
228C3×#217—21no—
229C3×#217—31no—
230C3×#217—31no—
231C3×#217—31no—
232C3×#217—31no—
233C3×#217—61no—
234C3×#217C2×D311yescharacteristic
235C3×#217C2×D311yescharacteristic
236C3×#217C2×D311yescharacteristic, complemented
237C3×#217C22×C311yescharacteristic
238C3×#217C22×C311yescharacteristic
239C3×#217C22×C311yescharacteristic, complemented
240C3×(C2×D3)⋊C4—21no—
241C3×(C2×D3)⋊C4—21no—
242C3×(C2×D3)⋊C4—31no—
243C3×(C2×D3)⋊C4—31no—
244C3×(C2×D3)⋊C4—31no—
245C3×(C2×D3)⋊C4—31no—
246C3×(C2×D3)⋊C4—31no—
247C3×(C2×D3)⋊C4—31no—
248C3×(C2×D3)⋊C4—31no—
249C3×(C2×D3)⋊C4—31no—
250C3×(C2×D3)⋊C4—31no—
251C3×(C2×D3)⋊C4—31no—
252C3×(C2×D3)⋊C4—61no—
253C3×(C2×D3)⋊C4—61no—
254C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
255C3×(C2×D3)⋊C4C2×D311yescharacteristic, complemented
256C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
257C3×(C2×D3)⋊C4C22×C311yescharacteristic, complemented
258C3×C4⋊Dic3—21no—
259C3×C4⋊Dic3—31no—
260C3×C4⋊Dic3—31no—
261C3×C4⋊Dic3C2×D311yescharacteristic, complemented
262C3×C4⋊Dic3C22×C311yescharacteristic, complemented
263C3×Dic3⋊C4—31no—
264C3×Dic3⋊C4—31no—
265C3×Dic3⋊C4—31no—
266C3×Dic3⋊C4—31no—
267C3×C4×Dic3—21no—
268C3×C4×Dic3C2×D311yescharacteristic, complemented
269C3×C4×Dic3C22×C311yescharacteristic, complemented
270#3724C22×C311yescharacteristic, complemented
271Dic3⋊Dic3C22×C311yescharacteristic, complemented
272Dic3⋊Dic3C22×C311yescharacteristic, complemented
273#3722C22×C311yescharacteristic, complemented
274#3722C22×C311yescharacteristic, complemented
275(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
276(C2×D3)⋊Dic3C22×C311yescharacteristic, complemented
277C22×C33—21no—
278C22×C33—21no—
279C22×C33—21no—
280C22×C33—21no—
281C22×C33—21no—
282C22×C33#4112yescomplemented
283C22×C33C2411yescharacteristic
284C2×C3×C3⋊D3—21no—
285C2×C3×C3⋊D3—21no—
286C2×C3×C3⋊D3—21no—
287C2×C3×C3⋊D3—21no—
288C2×C3×C3⋊D3—21no—
289C2×C3×C3⋊D3—44no—
290C2×C3×C3⋊D3C2×D412yes—
291C2×C32×D3—21no—
292C2×C32×D3—21no—
293C2×C32×D3—21no—
294C2×C32×D3—21no—
295C2×C32×D3—21no—
296C2×C32×D3—44no—
297C2×C32×D3C2×D412yes—
298C33×C4—21no—
299C3×C3⋊Dic3—21no—
300C3×C3⋊Dic3—21no—
301C32×Dic3—21no—
302C32×Dic3—21no—
303C32×Dic3—21no—
304C32×Dic3—21no—
305C32×Dic3—21no—
306C32×Dic3C2×D412yes—
307C2×C3×#41—91no—
308C22×C3×D4—91no—
309C22×#67—31no—
310C2×#237—31no—
311C2×#235—31no—
312C22×D12—31no—
313C3×#124—91no—
314C3×#123—91no—
315C3×#123—91no—
316C3×C22⋊Q8—91no—
317C3×#121—91no—
318C3×#121—91no—
319C3×#121—91no—
320C3×#120—31no—
321C3×#120—31no—
322C3×#120—61no—
323C3×#120—91no—
324C3×C4×D4—31no—
325C3×C4×D4—31no—
326C3×C4×D4—61no—
327C3×C4×D4—91no—
328C2×C3×C22⋊C4—91no—
329C2×C3×C22⋊C4—91no—
330C2×#217—31no—
331#939—31no—
332#939—31no—
333#938—31no—
334#937—31no—
335#937—31no—
336#937—61no—
337#937C3×D311yescharacteristic, complemented
338D4×Dic3C3×D311yescharacteristic, complemented
339#930—31no—
340#924—31no—
341#894—31no—
342#894—31no—
343#886—31no—
344#885—31no—
345#884—31no—
346#884—31no—
347#883—31no—
348#67⋊C4—31no—
349D3×C22⋊C4—31no—
350D3×C22⋊C4—31no—
351D3×C22⋊C4—31no—
352#878—31no—
353#875—31no—
354C4×D12—31no—
355C23×C32—21no—
356C23×C32—21no—
357C23×C32—21no—
358C23×C32—21no—
359C23×C32—21no—
360C23×C32—21no—
361C23×C32—31no—
362C23×C32—31no—
363C23×C32—41no—
364C23×C32—41no—
365C23×C32—62no—
366C23×C32—62no—
367C23×C32—121no—
368C23×C32C22×D311yescharacteristic
369C23×C32C22×D311yescharacteristic
370C23×C32C22×D311yescharacteristic
371C23×C32C22×D311yescharacteristic
372C23×C32C23×C311yescharacteristic
373C23×C32C23×C311yescharacteristic
374C22×C3⋊D3—22no—
375C22×C3⋊D3—22no—
376C22×C3⋊D3—41no—
377C22×C3⋊D3C23×C311yescharacteristic
378C22×C3⋊D3C23×C311yescharacteristic
379C22×C3×D3—22no—
380C22×C3×D3—22no—
381C22×C3×D3—22no—
382C22×C3×D3—22no—
383C22×C3×D3—21no—
384C22×C3×D3—21no—
385C22×C3×D3—31no—
386C22×C3×D3—31no—
387C22×C3×D3—31no—
388C22×C3×D3—31no—
389C22×C3×D3—42no—
390C22×C3×D3—42no—
391C22×C3×D3—41no—
392C22×C3×D3—41no—
393C22×C3×D3—42no—
394C22×C3×D3—61no—
395C22×C3×D3—61no—
396C22×C3×D3—62no—
397C22×C3×D3—62no—
398C22×C3×D3—62no—
399C22×C3×D3—62no—
400C22×C3×D3—122no—
401C22×C3×D3—122no—
402C22×C3×D3—121no—
403C22×C3×D3—121no—
404C22×C3×D3—122no—
405C22×C3×D3C22×D311yescharacteristic
406C22×C3×D3C22×D311yescharacteristic
407C22×C3×D3C23×C311yescharacteristic
408C22×C3×D3C23×C311yescharacteristic
409C32×D4—22no—
410C32×D4—24no—
411C32×D4—22no—
412C32×D4—22no—
413C32×D4—42no—
414C32×D4—42no—
415C32×D4—44no—
416C32×D4—62no—
417C32×D4—121no—
418C2×C32×C4—21no—
419C2×C32×C4—21no—
420C2×C32×C4—21no—
421C2×C32×C4—31no—
422C2×C32×C4—31no—
423C2×C32×C4—31no—
424C2×C32×C4—31no—
425C2×C32×C4—31no—
426C2×C32×C4—31no—
427C2×C32×C4—41no—
428C2×C32×C4—62no—
429C2×C32×C4—62no—
430C2×C32×C4C22×D311yescharacteristic
431C2×C32×C4C22×D311yescharacteristic
432C2×C32×C4C23×C311yescharacteristic
433#638—22no—
434#638—41no—
435C2×C3⋊Dic3C23×C311yescharacteristic
436C2×C3⋊Dic3C23×C311yescharacteristic
437C3×#67—22no—
438C3×#67—22no—
439C3×#67—34no—
440C3×#67—42no—
441C3×#67—41no—
442C3×#67—41no—
443C3×#67—42no—
444C3×#67—62no—
445C3×#67—62no—
446C3×#67—62no—
447C3×#67—62no—
448C3×#67—62no—
449C3×#67—122no—
450C3×#67—121no—
451C3×#67—121no—
452C3×#67—122no—
453C2×C3×Dic3—22no—
454C2×C3×Dic3—22no—
455C2×C3×Dic3—22no—
456C2×C3×Dic3—22no—
457C2×C3×Dic3—21no—
458C2×C3×Dic3—21no—
459C2×C3×Dic3—21no—
460C2×C3×Dic3—21no—
461C2×C3×Dic3—21no—
462C2×C3×Dic3—21no—
463C2×C3×Dic3—31no—
464C2×C3×Dic3—31no—
465C2×C3×Dic3—31no—
466C2×C3×Dic3—31no—
467C2×C3×Dic3—42no—
468C2×C3×Dic3—42no—
469C2×C3×Dic3—61no—
470C2×C3×Dic3—61no—
471C2×C3×Dic3—62no—
472C2×C3×Dic3—121no—
473C2×C3×Dic3C22×D311yescharacteristic
474C2×C3×Dic3C22×D311yescharacteristic
475C2×C3×Dic3C22×D311yescharacteristic
476C2×C3×Dic3C22×D311yescharacteristic
477C2×C3×Dic3C22×D311yescharacteristic
478C2×C3×Dic3C22×D311yescharacteristic
479C2×C3×Dic3C23×C311yescharacteristic
480C2×C3×Dic3C23×C311yescharacteristic
481C2×C3×Dic3C23×C311yescharacteristic
482C2×C3×Dic3C23×C311yescharacteristic
483C2×C3×Dic3C23×C311yescharacteristic
484C2×C3×Dic3C23×C311yescharacteristic
485C3×D12—34no—
486C3×D12—62no—
487C3×D12—62no—
488C3×D12—62no—
489C3×C4×D3—62no—
490C3×C4×D3—62no—
491C3×C4×D3—62no—
492C3×C4×D3—121no—
493C3×C4×D3—121no—
494C3×C4×D3—121no—
495C3×Dic6—62no—
496C3×Dic6—62no—
497#627—22no—
498#626—22no—
499#626—22no—
500#626—22no—
501#626C3×D414yescomplemented
502#624—22no—
503#624—41no—
504D3×Dic3—22no—
505D3×Dic3—41no—
506#546—91noSylow
507C2×C33—22no—
508C2×C33—41no—
509C2×C33C22×D411yescharacteristic
510C2×C33C2×#4111yescharacteristic
511C2×C33H(5,𝔽2)11yescharacteristic
512C3×C3⋊D3—22no—
513C3×C3⋊D3—41no—
514C32×D3—22no—
515C32×D3—41no—
516C24×C3—31no—
517C24×C3—31no—
518C24×C3—61no—
519C24×C3—91no—
520C23×D3—31no—
521C23×D3—31no—
522C23×D3—61no—
523C23×D3C2×C3×D311yescharacteristic
524C3×#41—184no—
525C2×C3×Q8—91no—
526C2×C3×D4—21no—
527C2×C3×D4—21no—
528C2×C3×D4—21no—
529C2×C3×D4—31no—
530C2×C3×D4—31no—
531C2×C3×D4—31no—
532C2×C3×D4—31no—
533C2×C3×D4—41no—
534C2×C3×D4—61no—
535C2×C3×D4—61no—
536C2×C3×D4—91no—
537C2×C3×D4—91no—
538C2×C3×D4—91no—
539C2×C3×D4—91no—
540C2×C3×D4—91no—
541C2×C3×D4—91no—
542C2×C3×D4—184no—
543C2×C3×D4D3211yescharacteristic
544C2×C3×D4C2×C3×D311yescharacteristic
545C2×C3×D4C2×C3×D311yescharacteristic
546C22×C3×C4—31no—
547C22×C3×C4—31no—
548C22×C3×C4—31no—
549C22×C3×C4—31no—
550C22×C3×C4—61no—
551C22×C3×C4—61no—
552C22×C3×C4—91no—
553C22×C3×C4—91no—
554C22×C3×C4—91no—
555C22×C3×C4—91no—
556C2×#67—31no—
557C2×#67—31no—
558C2×#67—31no—
559C2×#67—31no—
560C2×#67—31no—
561C2×#67—31no—
562C2×#67—31no—
563C2×#67—31no—
564C2×#67—61no—
565C2×#67—61no—
566C2×#67—64no—
567C2×#67C2×C3×D311yescharacteristic, complemented
568C2×#67C2×C3×D311yescharacteristic, complemented
569C22×Dic3—31no—
570C22×Dic3—31no—
571C22×Dic3C2×C3×D311yescharacteristic
572C22×Dic3C2×C3×D311yescharacteristic, complemented
573#237—64no—
574#235—64no—
575C2×D12—31no—
576C2×D12—31no—
577C2×D12—31no—
578C2×D12—31no—
579C2×D12—64no—
580C2×C4×D3—31no—
581C2×C4×D3—31no—
582C2×C4×D3—31no—
583C2×C4×D3—31no—
584C2×C4×D3—31no—
585C2×C4×D3—31no—
586C2×Dic6—31no—
587C2×Dic6—31no—
588C3×C4⋊C4—31no—
589C3×C4⋊C4—31no—
590C3×C4⋊C4—61no—
591C3×C4⋊C4—91no—
592C3×C4⋊C4—91no—
593C3×C4⋊C4—91no—
594C3×C22⋊C4—31no—
595C3×C22⋊C4—31no—
596C3×C22⋊C4—31no—
597C3×C22⋊C4—31no—
598C3×C22⋊C4—31no—
599C3×C22⋊C4—31no—
600C3×C22⋊C4—31no—
601C3×C22⋊C4—31no—
602C3×C22⋊C4—31no—
603C3×C22⋊C4—31no—
604C3×C22⋊C4—61no—
605C3×C22⋊C4—61no—
606C3×C22⋊C4—61no—
607C3×C22⋊C4—61no—
608C3×C22⋊C4—61no—
609C3×C22⋊C4—91no—
610C3×C22⋊C4—91no—
611C3×C22⋊C4—91no—
612C3×C22⋊C4—91no—
613C3×C22⋊C4—91no—
614C3×C22⋊C4—91no—
615C3×C22⋊C4—91no—
616C3×C42—31no—
617C3×C42—31no—
618C3×C42—61no—
619#217—31no—
620#217—31no—
621#217—31no—
622#217—31no—
623#217—61no—
624#217C2×C3×D311yescharacteristic
625#217C2×C3×D311yescharacteristic
626#217C2×C3×D311yescharacteristic, complemented
627(C2×D3)⋊C4—31no—
628(C2×D3)⋊C4—31no—
629(C2×D3)⋊C4—31no—
630(C2×D3)⋊C4—31no—
631(C2×D3)⋊C4—31no—
632(C2×D3)⋊C4—31no—
633(C2×D3)⋊C4—31no—
634(C2×D3)⋊C4—31no—
635(C2×D3)⋊C4—31no—
636(C2×D3)⋊C4—31no—
637(C2×D3)⋊C4—61no—
638(C2×D3)⋊C4—61no—
639(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
640(C2×D3)⋊C4C2×C3×D311yescharacteristic, complemented
641C4⋊Dic3—31no—
642C4⋊Dic3—31no—
643C4⋊Dic3C2×C3×D311yescharacteristic, complemented
644Dic3⋊C4—31no—
645Dic3⋊C4—31no—
646Dic3⋊C4—31no—
647Dic3⋊C4—31no—
648C4×Dic3C2×C3×D311yescharacteristic, complemented
649C22×C32—21no—
650C22×C32—21no—
651C22×C32—21no—
652C22×C32—21no—
653C22×C32—21no—
654C22×C32—21no—
655C22×C32—21no—
656C22×C32—22no—
657C22×C32—21no—
658C22×C32—21no—
659C22×C32—21no—
660C22×C32—21no—
661C22×C32—21no—
662C22×C32—21no—
663C22×C32—21no—
664C22×C32—21no—
665C22×C32—21no—
666C22×C32—21no—
667C22×C32—21no—
668C22×C32—22no—
669C22×C32—22no—
670C22×C32—22no—
671C22×C32—32no—
672C22×C32—41no—
673C22×C32—42no—
674C22×C32—41no—
675C22×C32—41no—
676C22×C32—42no—
677C22×C32—41no—
678C22×C32—41no—
679C22×C32—41no—
680C22×C32—41no—
681C22×C32—41no—
682C22×C32—41no—
683C22×C32—41no—
684C22×C32—41no—
685C22×C32—41no—
686C22×C32—41no—
687C22×C32—41no—
688C22×C32—41no—
689C22×C32—61no—
690C22×C32—61no—
691C22×C32—61no—
692C22×C32—61no—
693C22×C32—61no—
694C22×C32—81no—
695C22×C32—81no—
696C22×C32—81no—
697C22×C32—81no—
698C22×C32—124no—
699C22×C32#23512yescomplemented
700C22×C32#23712yescomplemented
701C22×C32C3×#4112yescomplemented
702C22×C32C23×D311yescharacteristic
703C22×C32C23×D311yescharacteristic
704C22×C32C24×C311yescharacteristic
705C2×C3⋊D3—21no—
706C2×C3⋊D3—21no—
707C2×C3⋊D3—21no—
708C2×C3⋊D3—21no—
709C2×C3⋊D3—21no—
710C2×C3⋊D3—44no—
711C2×C3⋊D3C2×C3×D412yes—
712C2×C3×D3—21no—
713C2×C3×D3—21no—
714C2×C3×D3—21no—
715C2×C3×D3—21no—
716C2×C3×D3—22no—
717C2×C3×D3—21no—
718C2×C3×D3—21no—
719C2×C3×D3—21no—
720C2×C3×D3—21no—
721C2×C3×D3—21no—
722C2×C3×D3—21no—
723C2×C3×D3—22no—
724C2×C3×D3—32no—
725C2×C3×D3—32no—
726C2×C3×D3—41no—
727C2×C3×D3—41no—
728C2×C3×D3—41no—
729C2×C3×D3—41no—
730C2×C3×D3—44no—
731C2×C3×D3—44no—
732C2×C3×D3—48no—
733C2×C3×D3—62no—
734C2×C3×D3—61no—
735C2×C3×D3—61no—
736C2×C3×D3—61no—
737C2×C3×D3—61no—
738C2×C3×D3—62no—
739C2×C3×D3—61no—
740C2×C3×D3—61no—
741C2×C3×D3—61no—
742C2×C3×D3—61no—
743C2×C3×D3—61no—
744C2×C3×D3—61no—
745C2×C3×D3—121no—
746C2×C3×D3—121no—
747C2×C3×D3—121no—
748C2×C3×D3—121no—
749C2×C3×D3—124no—
750C2×C3×D3—124no—
751C2×C3×D3—128no—
752C2×C3×D3D3×D412yes—
753C2×C3×D3C2×C3×D412yes—
754C32×C4—21no—
755C32×C4—22no—
756C32×C4—21no—
757C32×C4—21no—
758C32×C4—32no—
759C32×C4—41no—
760C32×C4—41no—
761C32×C4—42no—
762C32×C4—61no—
763C32×C4—61no—
764C32×C4—61no—
765C32×C4—61no—
766C32×C4—61no—
767C3⋊Dic3—21no—
768C3⋊Dic3—21no—
769C3×Dic3—21no—
770C3×Dic3—21no—
771C3×Dic3—21no—
772C3×Dic3—21no—
773C3×Dic3—21no—
774C3×Dic3—21no—
775C3×Dic3—21no—
776C3×Dic3—21no—
777C3×Dic3—21no—
778C3×Dic3—21no—
779C3×Dic3—22no—
780C3×Dic3—41no—
781C3×Dic3—41no—
782C3×Dic3—41no—
783C3×Dic3—41no—
784C3×Dic3—41no—
785C3×Dic3—61no—
786C3×Dic3—61no—
787C3×Dic3—61no—
788C3×Dic3—61no—
789C3×Dic3—121no—
790C3×Dic3—121no—
791C3×Dic3D3×D412yes—
792C3×Dic3C2×C3×D412yes—
793C2×#41—91no—
794C22×D4—91no—
795#124—91no—
796#123—91no—
797#123—91no—
798C22⋊Q8—91no—
799#121—91no—
800#121—91no—
801#121—91no—
802#120—31no—
803#120—91no—
804C4×D4—31no—
805C4×D4—91no—
806C2×C22⋊C4—91no—
807C2×C22⋊C4—91no—
808C33#54611yescharacteristic, complemented, Sylow
809C23×C3—21no—
810C23×C3—21no—
811C23×C3—21no—
812C23×C3—21no—
813C23×C3—21no—
814C23×C3—21no—
815C23×C3—31no—
816C23×C3—31no—
817C23×C3—31no—
818C23×C3—31no—
819C23×C3—41no—
820C23×C3—41no—
821C23×C3—61no—
822C23×C3—61no—
823C23×C3—62no—
824C23×C3—62no—
825C23×C3—62no—
826C23×C3—62no—
827C23×C3—91no—
828C23×C3—91no—
829C23×C3—122no—
830C23×C3—122no—
831C23×C3—121no—
832C23×C3—121no—
833C23×C3—122no—
834C23×C3—182no—
835C23×C3—182no—
836C23×C3—361no—
837C23×C3C2×D3211yescharacteristic
838C23×C3C2×D3211yescharacteristic
839C23×C3C22×C3×D311yescharacteristic
840C23×C3C22×C3×D311yescharacteristic
841C23×C3C22×C3×D311yescharacteristic
842C23×C3C22×C3×D311yescharacteristic
843C22×D3—22no—
844C22×D3—22no—
845C22×D3—31no—
846C22×D3—31no—
847C22×D3—31no—
848C22×D3—31no—
849C22×D3—41no—
850C22×D3—61no—
851C22×D3—61no—
852C22×D3—62no—
853C22×D3—62no—
854C22×D3—62no—
855C22×D3—62no—
856C22×D3—122no—
857C22×D3—122no—
858C22×D3—121no—
859C22×D3—121no—
860C22×D3—122no—
861C22×D3C22×C3×D311yescharacteristic
862C22×D3C22×C3×D311yescharacteristic
863C3×Q8—182no—
864C3×D4—24no—
865C3×D4—22no—
866C3×D4—22no—
867C3×D4—22no—
868C3×D4—42no—
869C3×D4—42no—
870C3×D4—44no—
871C3×D4—62no—
872C3×D4—62no—
873C3×D4—94no—
874C3×D4—122no—
875C3×D4—121no—
876C3×D4—121no—
877C3×D4—122no—
878C3×D4—182no—
879C3×D4—182no—
880C3×D4—182no—
881C3×D4—182no—
882C3×D4—361no—
883C2×C3×C4—21no—
884C2×C3×C4—21no—
885C2×C3×C4—21no—
886C2×C3×C4—31no—
887C2×C3×C4—31no—
888C2×C3×C4—31no—
889C2×C3×C4—31no—
890C2×C3×C4—31no—
891C2×C3×C4—31no—
892C2×C3×C4—31no—
893C2×C3×C4—31no—
894C2×C3×C4—31no—
895C2×C3×C4—31no—
896C2×C3×C4—31no—
897C2×C3×C4—31no—
898C2×C3×C4—41no—
899C2×C3×C4—61no—
900C2×C3×C4—61no—
901C2×C3×C4—61no—
902C2×C3×C4—61no—
903C2×C3×C4—61no—
904C2×C3×C4—61no—
905C2×C3×C4—62no—
906C2×C3×C4—62no—
907C2×C3×C4—62no—
908C2×C3×C4—62no—
909C2×C3×C4—91no—
910C2×C3×C4—91no—
911C2×C3×C4—122no—
912C2×C3×C4—122no—
913C2×C3×C4—182no—
914C2×C3×C4—182no—
915C2×C3×C4—361no—
916C2×C3×C4—361no—
917C2×C3×C4C2×D3211yescharacteristic
918C2×C3×C4C22×C3×D311yescharacteristic
919C2×C3×C4C22×C3×D311yescharacteristic
920#67—22no—
921#67—34no—
922#67—41no—
923#67—62no—
924#67—62no—
925#67—62no—
926#67—62no—
927#67—62no—
928#67—122no—
929#67—121no—
930#67—121no—
931#67—122no—
932C2×Dic3—22no—
933C2×Dic3—22no—
934C2×Dic3—31no—
935C2×Dic3—31no—
936C2×Dic3—31no—
937C2×Dic3—31no—
938C2×Dic3—61no—
939C2×Dic3—61no—
940C2×Dic3—62no—
941C2×Dic3—121no—
942C2×Dic3C22×C3×D311yescharacteristic
943C2×Dic3C22×C3×D311yescharacteristic
944C2×Dic3C22×C3×D311yescharacteristic
945C2×Dic3C22×C3×D311yescharacteristic
946C2×Dic3C22×C3×D311yescharacteristic
947C2×Dic3C22×C3×D311yescharacteristic
948D12—34no—
949D12—62no—
950D12—62no—
951D12—62no—
952C4×D3—62no—
953C4×D3—62no—
954C4×D3—62no—
955C4×D3—121no—
956C4×D3—121no—
957C4×D3—121no—
958Dic6—62no—
959Dic6—62no—
960C2×C32—22no—
961C2×C32—22no—
962C2×C32—22no—
963C2×C32—21no—
964C2×C32—21no—
965C2×C32—21no—
966C2×C32—21no—
967C2×C32—21no—
968C2×C32—21no—
969C2×C32—21no—
970C2×C32—21no—
971C2×C32—21no—
972C2×C32—41no—
973C2×C32—41no—
974C2×C32—41no—
975C2×C32—42no—
976C2×C32—42no—
977C2×C32—42no—
978C2×C32—41no—
979C2×C32—42no—
980C2×C32—41no—
981C2×C32—41no—
982C2×C32—62no—
983C2×C32—82no—
984C2×C32—81no—
985C2×C32—81no—
986C2×C32—82no—
987C2×C32—121no—
988C2×C32C2×#23511yescharacteristic
989C2×C32C2×D3×D411yescharacteristic
990C2×C32C2×D3×D411yescharacteristic
991C2×C32C2×#23711yescharacteristic
992C2×C32#100411yescharacteristic
993C2×C32#100911yescharacteristic
994C2×C32C22×C3×D411yescharacteristic
995C2×C32C2×C3×#4111yescharacteristic
996C2×C32C3×H(5,𝔽2)11yescharacteristic
997C3⋊D3—22no—
998C3⋊D3—41no—
999C3×D3—22no—
1000C3×D3—22no—
1001C3×D3—42no—
1002C3×D3—42no—
1003C3×D3—41no—
1004C3×D3—41no—
1005C3×D3—62no—
1006C3×D3—62no—
1007C3×D3—122no—
1008C3×D3—122no—
1009C3×D3—121no—
1010C3×D3—121no—
1011C24—31no—
1012C24—91no—
1013#41—184no—
1014C2×Q8—91no—
1015C2×D4—31no—
1016C2×D4—31no—
1017C2×D4—91no—
1018C2×D4—91no—
1019C2×D4—91no—
1020C2×D4—91no—
1021C2×D4—91no—
1022C2×D4—91no—
1023C2×D4—184no—
1024C2×D4C3×D3211yescharacteristic
1025C22×C4—31no—
1026C22×C4—31no—
1027C22×C4—91no—
1028C22×C4—91no—
1029C22×C4—91no—
1030C22×C4—91no—
1031C4⋊C4—31no—
1032C4⋊C4—91no—
1033C4⋊C4—91no—
1034C4⋊C4—91no—
1035C22⋊C4—31no—
1036C22⋊C4—31no—
1037C22⋊C4—31no—
1038C22⋊C4—31no—
1039C22⋊C4—31no—
1040C22⋊C4—91no—
1041C22⋊C4—91no—
1042C22⋊C4—91no—
1043C22⋊C4—91no—
1044C22⋊C4—91no—
1045C22⋊C4—91no—
1046C22⋊C4—91no—
1047C42—31no—
1048C22×C3—21no—
1049C22×C3—21no—
1050C22×C3—21no—
1051C22×C3—21no—
1052C22×C3—21no—
1053C22×C3—21no—
1054C22×C3—22no—
1055C22×C3—21no—
1056C22×C3—21no—
1057C22×C3—21no—
1058C22×C3—21no—
1059C22×C3—21no—
1060C22×C3—21no—
1061C22×C3—21no—
1062C22×C3—21no—
1063C22×C3—21no—
1064C22×C3—21no—
1065C22×C3—21no—
1066C22×C3—21no—
1067C22×C3—22no—
1068C22×C3—22no—
1069C22×C3—22no—
1070C22×C3—32no—
1071C22×C3—32no—
1072C22×C3—41no—
1073C22×C3—41no—
1074C22×C3—41no—
1075C22×C3—41no—
1076C22×C3—41no—
1077C22×C3—41no—
1078C22×C3—41no—
1079C22×C3—41no—
1080C22×C3—41no—
1081C22×C3—41no—
1082C22×C3—41no—
1083C22×C3—41no—
1084C22×C3—41no—
1085C22×C3—41no—
1086C22×C3—42no—
1087C22×C3—41no—
1088C22×C3—42no—
1089C22×C3—62no—
1090C22×C3—62no—
1091C22×C3—61no—
1092C22×C3—61no—
1093C22×C3—61no—
1094C22×C3—61no—
1095C22×C3—61no—
1096C22×C3—61no—
1097C22×C3—61no—
1098C22×C3—61no—
1099C22×C3—61no—
1100C22×C3—61no—
1101C22×C3—81no—
1102C22×C3—81no—
1103C22×C3—81no—
1104C22×C3—81no—
1105C22×C3—92no—
1106C22×C3—121no—
1107C22×C3—121no—
1108C22×C3—121no—
1109C22×C3—121no—
1110C22×C3—124no—
1111C22×C3—124no—
1112C22×C3—128no—
1113C22×C3—181no—
1114C22×C3—181no—
1115C22×C3—181no—
1116C22×C3—181no—
1117C22×C3—181no—
1118C22×C3—364no—
1119C22×C3#380412yescomplemented
1120C22×C3C3×#23512yescomplemented
1121C22×C3C3×#23712yescomplemented
1122C22×C3C22×D3211yescharacteristic
1123C22×C3C23×C3×D311yescharacteristic
1124C22×C3C23×C3×D311yescharacteristic
1125C2×D3—21no—
1126C2×D3—21no—
1127C2×D3—21no—
1128C2×D3—21no—
1129C2×D3—21no—
1130C2×D3—32no—
1131C2×D3—32no—
1132C2×D3—44no—
1133C2×D3—62no—
1134C2×D3—61no—
1135C2×D3—61no—
1136C2×D3—61no—
1137C2×D3—61no—
1138C2×D3—62no—
1139C2×D3—61no—
1140C2×D3—61no—
1141C2×D3—61no—
1142C2×D3—61no—
1143C2×D3—61no—
1144C2×D3—61no—
1145C2×D3—121no—
1146C2×D3—121no—
1147C2×D3—121no—
1148C2×D3—121no—
1149C2×D3—124no—
1150C2×D3—124no—
1151C2×D3—128no—
1152C2×D3C3×D3×D412yes—
1153C3×C4—22no—
1154C3×C4—21no—
1155C3×C4—21no—
1156C3×C4—21no—
1157C3×C4—32no—
1158C3×C4—32no—
1159C3×C4—41no—
1160C3×C4—41no—
1161C3×C4—42no—
1162C3×C4—62no—
1163C3×C4—61no—
1164C3×C4—61no—
1165C3×C4—61no—
1166C3×C4—61no—
1167C3×C4—61no—
1168C3×C4—61no—
1169C3×C4—61no—
1170C3×C4—61no—
1171C3×C4—61no—
1172C3×C4—61no—
1173C3×C4—121no—
1174C3×C4—121no—
1175C3×C4—121no—
1176C3×C4—121no—
1177C3×C4—121no—
1178C3×C4—181no—
1179C3×C4—181no—
1180Dic3—21no—
1181Dic3—21no—
1182Dic3—21no—
1183Dic3—21no—
1184Dic3—21no—
1185Dic3—61no—
1186Dic3—61no—
1187Dic3—61no—
1188Dic3—61no—
1189Dic3—121no—
1190Dic3—121no—
1191Dic3C3×D3×D412yes—
1192C32—21no—
1193C32—21no—
1194C32—21no—
1195C32—41no—
1196C32#555011yescharacteristic, complemented
1197C32#559111yescharacteristic, complemented
1198C32C3×#54611yescharacteristic, complemented
1199C23—31no—
1200C23—31no—
1201C23—62no—
1202C23—62no—
1203C23—91no—
1204C23—91no—
1205C23—121no—
1206C23—182no—
1207C23—182no—
1208C23—361no—
1209C23C2×C3×D3211yescharacteristic
1210C23C2×C3×D3211yescharacteristic
1211Q8—182no—
1212D4—22no—
1213D4—62no—
1214D4—94no—
1215D4—121no—
1216D4—182no—
1217D4—182no—
1218D4—182no—
1219D4—182no—
1220D4—361no—
1221C2×C4—31no—
1222C2×C4—31no—
1223C2×C4—31no—
1224C2×C4—31no—
1225C2×C4—31no—
1226C2×C4—31no—
1227C2×C4—62no—
1228C2×C4—62no—
1229C2×C4—91no—
1230C2×C4—91no—
1231C2×C4—182no—
1232C2×C4—182no—
1233C2×C4—361no—
1234C2×C4—361no—
1235C2×C4C2×C3×D3211yescharacteristic
1236C2×C3—22no—
1237C2×C3—22no—
1238C2×C3—22no—
1239C2×C3—21no—
1240C2×C3—21no—
1241C2×C3—21no—
1242C2×C3—21no—
1243C2×C3—21no—
1244C2×C3—21no—
1245C2×C3—21no—
1246C2×C3—21no—
1247C2×C3—21no—
1248C2×C3—42no—
1249C2×C3—42no—
1250C2×C3—42no—
1251C2×C3—42no—
1252C2×C3—41no—
1253C2×C3—41no—
1254C2×C3—41no—
1255C2×C3—41no—
1256C2×C3—41no—
1257C2×C3—41no—
1258C2×C3—62no—
1259C2×C3—62no—
1260C2×C3—82no—
1261C2×C3—81no—
1262C2×C3—81no—
1263C2×C3—82no—
1264C2×C3—122no—
1265C2×C3—122no—
1266C2×C3—121no—
1267C2×C3—121no—
1268C2×C3—182no—
1269C2×C3—361no—
1270C2×C3D32×D411yescharacteristic
1271C2×C3#6431411yescharacteristic
1272C2×C3C2×#380411yescharacteristic
1273C2×C3C2×C3×#23511yescharacteristic
1274C2×C3C2×C3×D3×D411yescharacteristic
1275C2×C3C2×C3×D3×D411yescharacteristic
1276C2×C3C2×C3×#23711yescharacteristic
1277C2×C3C3×#100411yescharacteristic
1278C2×C3C3×#100911yescharacteristic
1279D3—22no—
1280D3—41no—
1281D3—62no—
1282D3—62no—
1283D3—122no—
1284D3—122no—
1285D3—121no—
1286D3—121no—
1287C22—21no—
1288C22—21no—
1289C22—21no—
1290C22—21no—
1291C22—21no—
1292C22—32no—
1293C22—61no—
1294C22—61no—
1295C22—61no—
1296C22—61no—
1297C22—61no—
1298C22—92no—
1299C22—124no—
1300C22—181no—
1301C22—181no—
1302C22—181no—
1303C22—181no—
1304C22—181no—
1305C22—364no—
1306C22C3×#380412yescomplemented
1307C22C22×C3×D3211yescharacteristic
1308C4—21no—
1309C4—32no—
1310C4—61no—
1311C4—61no—
1312C4—61no—
1313C4—61no—
1314C4—61no—
1315C4—181no—
1316C4—181no—
1317C3—21no—
1318C3—21no—
1319C3—21no—
1320C3—41no—
1321C3#1059513511yescharacteristic, direct product factor
1322C3C3×#555011yescharacteristic, complemented
1323C3C3×#559111yescharacteristic, complemented
1324C2—22no—
1325C2—41no—
1326C2—62no—
1327C2—121no—
1328C2—182no—
1329C2—361no—
1330C2C3×D32×D411yescharacteristic
1331C2C3×#6431411yescharacteristic
1332C2C2×C3×#380411yescharacteristic
subgroupG/H
centerC22×C3C22×D32
commutator, cosocleC22×C32C24×C3
FrattiniC22C22×C3×D32
FittingC2×C33×D4C22
socleC22×C33C24
hypercenterC2×C3×D4D32
hypocenterC32C3×#546
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22×C3 ◁ C2×C3×D4

Complements

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

NH ≅ G/Ntype
1. C22×C3×#626C2semidirect
2. C2×C3×#3804C2semidirect
3. C3×#64146C2semidirect
4. C32×#937C2semidirect
5. C32×D4×Dic3C2semidirect
6. C3×#63978C2semidirect
7. C3×#63974C2semidirect
8. C3×#63971C2semidirect
9. C3×D3×#217C2semidirect
10. C3×#63964C2semidirect
11. C3×#63958C2semidirect
12. C3×#63890C2semidirect
13. C3×#63880C2semidirect
14. C3×#63854C2semidirect
15. C3×#63852C2semidirect
18. #10595135C3direct (N × H)
22. C2×C3×#638C22semidirect
23. C2×C3×#638C22semidirect
24. C2×C32×#67C22semidirect
25. C2×C32×#67C22semidirect
27. C22×C32×Dic3C22semidirect
28. C2×C3×#627C22semidirect
34. C2×C3×#624C22semidirect
35. C2×C3×#624C22semidirect
37. C2×C3×D3×Dic3C22semidirect
38. C2×C3×D3×Dic3C22semidirect
40. C3×#3752C22semidirect
41. C3×#3752C22semidirect
44. C32×#217C22semidirect
45. C32×(C2×D3)⋊C4C22semidirect
46. C32×(C2×D3)⋊C4C22semidirect
47. C32×C4⋊Dic3C22semidirect
48. C32×C4×Dic3C22semidirect
49. C3×#3724C22semidirect
50. C3×Dic3⋊Dic3C22semidirect
51. C3×Dic3⋊Dic3C22semidirect
52. C3×#3722C22semidirect
53. C3×#3722C22semidirect
54. C3×(C2×D3)⋊Dic3C22semidirect
55. C3×(C2×D3)⋊Dic3C22semidirect
60. C22×#626C2×C3semidirect
61. C2×#3804C2×C3semidirect
64. #64146C2×C3semidirect
73. C3×#937D3semidirect
74. C3×#937C2×C3semidirect
76. C3×D4×Dic3D3semidirect
77. C3×D4×Dic3C2×C3semidirect
94. #63978C2×C3semidirect
95. #63974C2×C3semidirect
96. #63971C2×C3semidirect
97. D3×#217C2×C3semidirect
98. #63964C2×C3semidirect
99. #63958C2×C3semidirect
100. #63890C2×C3semidirect
101. #63880C2×C3semidirect
102. #63854C2×C3semidirect
103. #63852C2×C3semidirect
136. C3×#626D4semidirect
163. C2×#638C22×C3semidirect
164. C2×#638C22×C3semidirect
178. C2×C3×#67C2×D3semidirect
179. C2×C3×#67C2×D3semidirect
180. C2×C3×#67C22×C3semidirect
181. C2×C3×#67C22×C3semidirect
187. C22×C3×Dic3C2×D3semidirect
189. C22×C3×Dic3C22×C3semidirect
205. C2×#627C22×C3semidirect
211. C2×#624C22×C3semidirect
212. C2×#624C22×C3semidirect
214. C2×D3×Dic3C22×C3semidirect
215. C2×D3×Dic3C22×C3semidirect
224. #3752C22×C3semidirect
225. #3752C22×C3semidirect
236. C3×#217C2×D3semidirect
239. C3×#217C22×C3semidirect
254. C3×(C2×D3)⋊C4C2×D3semidirect
255. C3×(C2×D3)⋊C4C2×D3semidirect
256. C3×(C2×D3)⋊C4C22×C3semidirect
257. C3×(C2×D3)⋊C4C22×C3semidirect
261. C3×C4⋊Dic3C2×D3semidirect
262. C3×C4⋊Dic3C22×C3semidirect
268. C3×C4×Dic3C2×D3semidirect
269. C3×C4×Dic3C22×C3semidirect
270. #3724C22×C3semidirect
271. Dic3⋊Dic3C22×C3semidirect
272. Dic3⋊Dic3C22×C3semidirect
273. #3722C22×C3semidirect
274. #3722C22×C3semidirect
275. (C2×D3)⋊Dic3C22×C3semidirect
276. (C2×D3)⋊Dic3C22×C3semidirect
282. C22×C33#41semidirect
337. #937C3×D3semidirect
338. D4×Dic3C3×D3semidirect
501. #626C3×D4semidirect
567. C2×#67C2×C3×D3semidirect
568. C2×#67C2×C3×D3semidirect
572. C22×Dic3C2×C3×D3semidirect
626. #217C2×C3×D3semidirect
639. (C2×D3)⋊C4C2×C3×D3semidirect
640. (C2×D3)⋊C4C2×C3×D3semidirect
643. C4⋊Dic3C2×C3×D3semidirect
648. C4×Dic3C2×C3×D3semidirect
699. C22×C32#235semidirect
700. C22×C32#237semidirect
701. C22×C32C3×#41semidirect
808. C33#546semidirect
1119. C22×C3#3804semidirect
1120. C22×C3C3×#235semidirect
1121. C22×C3C3×#237semidirect
1196. C32#5550semidirect
1197. C32#5591semidirect
1198. C32C3×#546semidirect
1306. C22C3×#3804semidirect
1321. C3#10595135direct (N × H)
1322. C3C3×#5550semidirect
1323. C3C3×#5591semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#6262
C2×C3×#38042
C3×#641462
C32×#9372
C32×D4×Dic32
C3×#639782
C3×#639742
C3×#639712
C3×D3×#2172
C3×#639642
C3×#639582
C3×#638902
C3×#638802
C3×#638542
C3×#638522
C3×#55913
C3×#55503
#105951353