Finite Group Databasebeta

← #10592693⋊C3 #13142621

Subgroups — #10592693⋊C3 #13142621

Order 1728.

743 conjugacy classes of subgroups.

The subgroup lattice has 598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4⋊C4×H(3,𝔽3)C211yesmaximal, characteristic, complemented
2C2×#3752⋊C3C211yesmaximal, characteristic
3C2×#3752⋊C3C211yesmaximal, characteristic
4C2×#3752⋊C3C211yesmaximal, characteristic
5C2×C4⋊((C3⋊Dic3)⋊C3)C211yesmaximal, characteristic, complemented
6C2×#3750⋊C3C211yesmaximal, characteristic, complemented
7#63658⋊C3C211yesmaximal, characteristic, complemented
8#10592693C311yesmaximal, characteristic, complemented
9C3×#4994—31nomaximal
10C23×(C3⋊D3)⋊C3C2211yescharacteristic
11C22×C4×H(3,𝔽3)C2211yescharacteristic
12C22×C4×H(3,𝔽3)C2211yescharacteristic
13C22×C4×H(3,𝔽3)C2211yescharacteristic
14C22×(C3⋊Dic3)⋊C3C2211yescharacteristic
15C22×(C3⋊Dic3)⋊C3C2211yescharacteristic
16C22×(C3⋊Dic3)⋊C3C2211yescharacteristic
17C4⋊C4×H(3,𝔽3)—22no—
18#3752⋊C3—22no—
19#3752⋊C3—22no—
20#3752⋊C3—22no—
21C4⋊((C3⋊Dic3)⋊C3)—22no—
22#3750⋊C3—22no—
23C2×C32×C4⋊C4—21no—
24C2×C32×C4⋊C4D311yescharacteristic, complemented
25C2×C32×C4⋊C4C2×C311yescharacteristic, complemented
26C2×#3752C2×C311yescharacteristic
27C2×#3752C2×C311yescharacteristic
28C2×#3752C2×C311yescharacteristic
29C2×C4⋊(C3⋊Dic3)C2×C311yescharacteristic, complemented
30C2×#3750C2×C311yescharacteristic, complemented
31C2×C3×(C2×D3)⋊C4—31no—
32C2×C3×(C2×D3)⋊C4—31no—
33C2×C3×(C2×D3)⋊C4—31no—
34C2×C3×C4⋊Dic3—31no—
35C2×C3×Dic3⋊C4—31no—
36#63658C2×C311yescharacteristic, complemented
37C3×C3⋊#95—31no—
38C23×H(3,𝔽3)C2311yescharacteristic
39C22×(C3⋊D3)⋊C3—21no—
40C22×(C3⋊D3)⋊C3—21no—
41C22×(C3⋊D3)⋊C3—21no—
42C22×(C3⋊D3)⋊C3—21no—
43C22×(C3⋊D3)⋊C3—21no—
44C22×(C3⋊D3)⋊C3—21no—
45C22×(C3⋊D3)⋊C3Q812yes—
46C2×C4×H(3,𝔽3)—21no—
47C2×C4×H(3,𝔽3)—21no—
48C2×C4×H(3,𝔽3)—21no—
49C2×C4×H(3,𝔽3)—21no—
50C2×C4×H(3,𝔽3)—21no—
51C2×C4×H(3,𝔽3)—21no—
52C2×C4×H(3,𝔽3)—21no—
53C2×C4×H(3,𝔽3)D412yes—
54C2×C4×H(3,𝔽3)D412yes—
55C2×(C3⋊Dic3)⋊C3—21no—
56C2×(C3⋊Dic3)⋊C3—21no—
57C2×(C3⋊Dic3)⋊C3—21no—
58C2×(C3⋊Dic3)⋊C3—21no—
59C2×(C3⋊Dic3)⋊C3—21no—
60C2×(C3⋊Dic3)⋊C3—21no—
61C2×(C3⋊Dic3)⋊C3—21no—
62C2×(C3⋊Dic3)⋊C3—21no—
63C2×(C3⋊Dic3)⋊C3D412yes—
64C3×#396—91no—
65#4994—31no—
66#4994—91no—
67C23×C3⋊D3C22×C311yescharacteristic
68C23×C3×D3—31no—
69C22×C32×C4—21no—
70C22×C32×C4—21no—
71C22×C32×C4—21no—
72C22×C32×C4C2×D311yescharacteristic
73C22×C32×C4C2×D311yescharacteristic
74C22×C32×C4C2×D311yescharacteristic
75C22×C32×C4C22×C311yescharacteristic
76C22×C32×C4C22×C311yescharacteristic
77C22×C32×C4C22×C311yescharacteristic
78C22×C3⋊Dic3C22×C311yescharacteristic
79C22×C3⋊Dic3C22×C311yescharacteristic
80C22×C3⋊Dic3C22×C311yescharacteristic
81C22×C3×Dic3—31no—
82C22×C3×Dic3—31no—
83C22×C3×Dic3—31no—
84C32×C4⋊C4—24no—
85C32×C4⋊C4—22no—
86C32×C4⋊C4—22no—
87#3752—22no—
88#3752—22no—
89#3752—22no—
90C4⋊(C3⋊Dic3)—22no—
91#3750—22no—
92C3×(C2×D3)⋊C4—62no—
93C3×(C2×D3)⋊C4—62no—
94C3×(C2×D3)⋊C4—62no—
95C3×C4⋊Dic3—62no—
96C3×Dic3⋊C4—62no—
97C22×H(3,𝔽3)C2×D411yescharacteristic
98C22×H(3,𝔽3)C2×D411yescharacteristic
99C22×H(3,𝔽3)C2×D411yescharacteristic
100C22×H(3,𝔽3)C2×Q811yescharacteristic
101C22×H(3,𝔽3)#4111yescharacteristic
102C22×H(3,𝔽3)#4111yescharacteristic
103C22×H(3,𝔽3)#4111yescharacteristic
104C2×(C3⋊D3)⋊C3—22no—
105C2×(C3⋊D3)⋊C3—22no—
106C2×(C3⋊D3)⋊C3—22no—
107C2×(C3⋊D3)⋊C3—41no—
108C2×(C3⋊D3)⋊C3—41no—
109C2×(C3⋊D3)⋊C3—41no—
110C2×(C3⋊D3)⋊C3—41no—
111C4×H(3,𝔽3)—22no—
112C4×H(3,𝔽3)—22no—
113C4×H(3,𝔽3)—41no—
114(C3⋊Dic3)⋊C3—22no—
115(C3⋊Dic3)⋊C3—41no—
116(C3⋊Dic3)⋊C3—41no—
117C2×C3×C4⋊C4—31no—
118C2×C3×C4⋊C4—31no—
119C2×C3×C4⋊C4—61no—
120C2×C3×C4⋊C4—91no—
121C2×C3×C4⋊C4—91no—
122C2×C3×C4⋊C4C3×D311yescharacteristic
123C2×C3×C22⋊C4—91no—
124C2×C3×C22⋊C4—91no—
125C2×C3×C22⋊C4—91no—
126C2×(C2×D3)⋊C4—31no—
127C2×(C2×D3)⋊C4—31no—
128C2×(C2×D3)⋊C4—31no—
129C2×(C2×D3)⋊C4—91no—
130C2×(C2×D3)⋊C4—91no—
131C2×(C2×D3)⋊C4—91no—
132C2×C4⋊Dic3—31no—
133C2×C4⋊Dic3—91no—
134C2×Dic3⋊C4—31no—
135C2×Dic3⋊C4—91no—
136C3×#95—91no—
137C3⋊#95—31no—
138C3⋊#95—91no—
139C23×C32—21no—
140C23×C32C22×D311yescharacteristic
141C23×C32C23×C311yescharacteristic
142C22×C3⋊D3—21no—
143C22×C3⋊D3—21no—
144C22×C3⋊D3—21no—
145C22×C3⋊D3—21no—
146C22×C3⋊D3—21no—
147C22×C3⋊D3—21no—
148C22×C3⋊D3C3×Q812yes—
149C22×C3×D3—32no—
150C22×C3×D3—61no—
151C22×C3×D3—61no—
152C22×C3×D3—61no—
153C22×C3×D3—61no—
154C22×C3×D3—61no—
155C22×C3×D3—61no—
156C2×C32×C4—22no—
157C2×C32×C4—22no—
158C2×C32×C4—21no—
159C2×C32×C4—21no—
160C2×C32×C4—21no—
161C2×C32×C4—21no—
162C2×C32×C4—21no—
163C2×C32×C4—21no—
164C2×C32×C4—21no—
165C2×C32×C4—21no—
166C2×C32×C4—22no—
167C2×C32×C4—21no—
168C2×C32×C4—21no—
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4—21no—
172C2×C32×C4—21no—
173C2×C32×C4—22no—
174C2×C32×C4—22no—
175C2×C32×C4—41no—
176C2×C32×C4—41no—
177C2×C32×C4—41no—
178C2×C32×C4—41no—
179C2×C32×C4D1212yes—
180C2×C32×C4#6712yes—
181C2×C32×C4C3×D412yes—
182C2×C32×C4C3×D412yes—
183C2×C3⋊Dic3—21no—
184C2×C3⋊Dic3—21no—
185C2×C3⋊Dic3—21no—
186C2×C3⋊Dic3—21no—
187C2×C3⋊Dic3—21no—
188C2×C3⋊Dic3—21no—
189C2×C3⋊Dic3—21no—
190C2×C3⋊Dic3—21no—
191C2×C3⋊Dic3C3×D412yes—
192C2×C3×Dic3—32no—
193C2×C3×Dic3—61no—
194C2×C3×Dic3—61no—
195C2×C3×Dic3—61no—
196C2×C3×Dic3—61no—
197C2×C3×Dic3—61no—
198C2×C3×Dic3—61no—
199C2×C3×Dic3—61no—
200C2×C3×Dic3—61no—
201#396—91noSylow
202C2×H(3,𝔽3)#12111yescharacteristic
203C2×H(3,𝔽3)#12111yescharacteristic
204C2×H(3,𝔽3)#12111yescharacteristic
205C2×H(3,𝔽3)C22⋊Q811yescharacteristic
206C2×H(3,𝔽3)C22⋊Q811yescharacteristic
207C2×H(3,𝔽3)C22⋊Q811yescharacteristic
208C2×H(3,𝔽3)#12611yescharacteristic
209(C3⋊D3)⋊C3—42no—
210C24×C3—91no—
211C23×D3—31no—
212C23×D3—91no—
213C22×C3×C4—31no—
214C22×C3×C4—31no—
215C22×C3×C4—31no—
216C22×C3×C4—31no—
217C22×C3×C4—31no—
218C22×C3×C4—31no—
219C22×C3×C4—61no—
220C22×C3×C4—61no—
221C22×C3×C4—61no—
222C22×C3×C4—91no—
223C22×C3×C4—91no—
224C22×C3×C4—91no—
225C22×C3×C4C2×C3×D311yescharacteristic
226C22×C3×C4C2×C3×D311yescharacteristic
227C22×C3×C4C2×C3×D311yescharacteristic
228C22×Dic3—31no—
229C22×Dic3—31no—
230C22×Dic3—31no—
231C22×Dic3—91no—
232C22×Dic3—91no—
233C22×Dic3—91no—
234C3×C4⋊C4—22no—
235C3×C4⋊C4—62no—
236C3×C4⋊C4—62no—
237C3×C4⋊C4—64no—
238C3×C4⋊C4—182no—
239C3×C4⋊C4—182no—
240C3×C22⋊C4—182no—
241C3×C22⋊C4—182no—
242C3×C22⋊C4—182no—
243(C2×D3)⋊C4—62no—
244(C2×D3)⋊C4—62no—
245(C2×D3)⋊C4—62no—
246(C2×D3)⋊C4—182no—
247(C2×D3)⋊C4—182no—
248(C2×D3)⋊C4—182no—
249C4⋊Dic3—62no—
250C4⋊Dic3—182no—
251Dic3⋊C4—62no—
252Dic3⋊C4—182no—
253C22×C32—21no—
254C22×C32—21no—
255C22×C32—21no—
256C22×C32—21no—
257C22×C32—21no—
258C22×C32—21no—
259C22×C32—21no—
260C22×C32C2×D1211yescharacteristic
261C22×C32#23511yescharacteristic
262C22×C32D3×D411yescharacteristic
263C22×C32#23711yescharacteristic
264C22×C32D3×Q811yescharacteristic
265C22×C32#23911yescharacteristic
266C22×C32C2×#6711yescharacteristic
267C22×C32C2×C3×D411yescharacteristic
268C22×C32C2×C3×D411yescharacteristic
269C22×C32C2×C3×D411yescharacteristic
270C22×C32C2×C3×Q811yescharacteristic
271C22×C32C3×#4111yescharacteristic
272C22×C32C3×#4111yescharacteristic
273C22×C32C3×#4111yescharacteristic
274C2×C3⋊D3—22no—
275C2×C3⋊D3—22no—
276C2×C3⋊D3—22no—
277C2×C3⋊D3—41no—
278C2×C3⋊D3—41no—
279C2×C3⋊D3—41no—
280C2×C3⋊D3—41no—
281C2×C3×D3—62no—
282C2×C3×D3—62no—
283C2×C3×D3—62no—
284C2×C3×D3—121no—
285C2×C3×D3—121no—
286C2×C3×D3—121no—
287C2×C3×D3—121no—
288C32×C4—24no—
289C32×C4—22no—
290C32×C4—22no—
291C32×C4—22no—
292C32×C4—22no—
293C32×C4—42no—
294C32×C4—42no—
295C32×C4—41no—
296C32×C4—41no—
297C3⋊Dic3—22no—
298C3⋊Dic3—41no—
299C3⋊Dic3—41no—
300C3×Dic3—62no—
301C3×Dic3—121no—
302C3×Dic3—121no—
303C2×C4⋊C4—91no—
304C2×C4⋊C4—91no—
305C2×C4⋊C4(C3⋊D3)⋊C311yescharacteristic, complemented
306C2×C22⋊C4—91no—
307C2×C22⋊C4—91no—
308C2×C22⋊C4—91no—
309#95—91no—
310H(3,𝔽3)#39611yescharacteristic, complemented, Sylow
311C23×C3—31no—
312C23×C3—31no—
313C23×C3—61no—
314C23×C3—92no—
315C23×C3—181no—
316C23×C3—181no—
317C23×C3—181no—
318C23×C3—181no—
319C23×C3—181no—
320C23×C3—181no—
321C23×C3C22×C3×D311yescharacteristic
322C22×D3—32no—
323C22×D3—61no—
324C22×D3—61no—
325C22×D3—61no—
326C22×D3—61no—
327C22×D3—61no—
328C22×D3—61no—
329C22×D3—92no—
330C22×D3—181no—
331C22×D3—181no—
332C22×D3—181no—
333C22×D3—181no—
334C22×D3—181no—
335C22×D3—181no—
336C2×C3×C4—21no—
337C2×C3×C4—21no—
338C2×C3×C4—21no—
339C2×C3×C4—21no—
340C2×C3×C4—21no—
341C2×C3×C4—21no—
342C2×C3×C4—21no—
343C2×C3×C4—32no—
344C2×C3×C4—32no—
345C2×C3×C4—32no—
346C2×C3×C4—32no—
347C2×C3×C4—61no—
348C2×C3×C4—61no—
349C2×C3×C4—61no—
350C2×C3×C4—61no—
351C2×C3×C4—61no—
352C2×C3×C4—61no—
353C2×C3×C4—61no—
354C2×C3×C4—61no—
355C2×C3×C4—62no—
356C2×C3×C4—62no—
357C2×C3×C4—61no—
358C2×C3×C4—61no—
359C2×C3×C4—61no—
360C2×C3×C4—61no—
361C2×C3×C4—61no—
362C2×C3×C4—61no—
363C2×C3×C4—62no—
364C2×C3×C4—62no—
365C2×C3×C4—62no—
366C2×C3×C4—92no—
367C2×C3×C4—121no—
368C2×C3×C4—121no—
369C2×C3×C4—121no—
370C2×C3×C4—121no—
371C2×C3×C4—181no—
372C2×C3×C4—181no—
373C2×C3×C4—181no—
374C2×C3×C4—181no—
375C2×C3×C4—181no—
376C2×C3×C4—181no—
377C2×C3×C4—181no—
378C2×C3×C4—181no—
379C2×C3×C4C3×D1212yes—
380C2×C3×C4C3×#6712yes—
381C2×Dic3—32no—
382C2×Dic3—61no—
383C2×Dic3—61no—
384C2×Dic3—61no—
385C2×Dic3—61no—
386C2×Dic3—61no—
387C2×Dic3—61no—
388C2×Dic3—61no—
389C2×Dic3—61no—
390C2×Dic3—92no—
391C2×Dic3—181no—
392C2×Dic3—181no—
393C2×Dic3—181no—
394C2×Dic3—181no—
395C2×Dic3—181no—
396C2×Dic3—181no—
397C2×Dic3—181no—
398C2×Dic3—181no—
399C2×C32—21no—
400C2×C32—21no—
401C2×C32—21no—
402C2×C32—21no—
403C2×C32—21no—
404C2×C32—21no—
405C2×C32—21no—
406C2×C32#89511yescharacteristic
407C2×C32#89611yescharacteristic
408C2×C32#89711yescharacteristic
409C2×C32#89811yescharacteristic
410C2×C32#93011yescharacteristic
411C2×C32#93911yescharacteristic
412C2×C32#94611yescharacteristic
413C2×C32C3×#12111yescharacteristic
414C2×C32C3×#12111yescharacteristic
415C2×C32C3×#12111yescharacteristic
416C2×C32C3×C22⋊Q811yescharacteristic
417C2×C32C3×C22⋊Q811yescharacteristic
418C2×C32C3×C22⋊Q811yescharacteristic
419C2×C32C3×#12611yescharacteristic
420C3⋊D3—42no—
421C3×D3—122no—
422C24—91no—
423C22×C4—91no—
424C22×C4—91no—
425C22×C4—91no—
426C22×C4C2×(C3⋊D3)⋊C311yescharacteristic
427C22×C4C2×(C3⋊D3)⋊C311yescharacteristic
428C22×C4C2×(C3⋊D3)⋊C311yescharacteristic
429C4⋊C4—22no—
430C4⋊C4—182no—
431C4⋊C4—182no—
432C22⋊C4—182no—
433C22⋊C4—182no—
434C22⋊C4—182no—
435C22×C3—31no—
436C22×C3—31no—
437C22×C3—31no—
438C22×C3—31no—
439C22×C3—31no—
440C22×C3—31no—
441C22×C3—31no—
442C22×C3—31no—
443C22×C3—31no—
444C22×C3—31no—
445C22×C3—31no—
446C22×C3—31no—
447C22×C3—31no—
448C22×C3—31no—
449C22×C3—61no—
450C22×C3—61no—
451C22×C3—61no—
452C22×C3—61no—
453C22×C3—61no—
454C22×C3—61no—
455C22×C3—61no—
456C22×C3—182no—
457C22×C3—182no—
458C22×C3—182no—
459C22×C3—361no—
460C22×C3—361no—
461C22×C3—361no—
462C22×C3—361no—
463C22×C3C2×C3×D1211yescharacteristic
464C22×C3C3×#23511yescharacteristic
465C22×C3C3×D3×D411yescharacteristic
466C22×C3C3×#23711yescharacteristic
467C22×C3C3×D3×Q811yescharacteristic
468C22×C3C3×#23911yescharacteristic
469C22×C3C2×C3×#6711yescharacteristic
470C2×D3—62no—
471C2×D3—62no—
472C2×D3—62no—
473C2×D3—121no—
474C2×D3—121no—
475C2×D3—121no—
476C2×D3—121no—
477C2×D3—182no—
478C2×D3—182no—
479C2×D3—182no—
480C2×D3—361no—
481C2×D3—361no—
482C2×D3—361no—
483C2×D3—361no—
484C3×C4—22no—
485C3×C4—22no—
486C3×C4—41no—
487C3×C4—62no—
488C3×C4—62no—
489C3×C4—62no—
490C3×C4—62no—
491C3×C4—64no—
492C3×C4—122no—
493C3×C4—121no—
494C3×C4—121no—
495C3×C4—122no—
496C3×C4—182no—
497C3×C4—361no—
498C3×C4—361no—
499Dic3—62no—
500Dic3—121no—
501Dic3—121no—
502Dic3—182no—
503Dic3—361no—
504Dic3—361no—
505C32—21no—
506C32#499411yescharacteristic, complemented
507C32C3×#39611yescharacteristic, complemented
508C23—92no—
509C23—181no—
510C23—181no—
511C23—181no—
512C23—181no—
513C23—181no—
514C23—181no—
515C23C22×(C3⋊D3)⋊C311yescharacteristic
516C2×C4—21no—
517C2×C4—21no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—21no—
523C2×C4—92no—
524C2×C4—181no—
525C2×C4—181no—
526C2×C4—181no—
527C2×C4—181no—
528C2×C4—181no—
529C2×C4—181no—
530C2×C4—181no—
531C2×C4—181no—
532C2×C4C4⋊((C3⋊D3)⋊C3)12yes—
533C2×C4#638⋊C312yes—
534C2×C3—31no—
535C2×C3—31no—
536C2×C3—31no—
537C2×C3—31no—
538C2×C3—31no—
539C2×C3—31no—
540C2×C3—31no—
541C2×C3—31no—
542C2×C3—31no—
543C2×C3—31no—
544C2×C3—31no—
545C2×C3—31no—
546C2×C3—31no—
547C2×C3—31no—
548C2×C3—61no—
549C2×C3—61no—
550C2×C3—61no—
551C2×C3—61no—
552C2×C3—61no—
553C2×C3—61no—
554C2×C3—61no—
555C2×C3—362no—
556C2×C3C3×#89511yescharacteristic
557C2×C3C3×#89611yescharacteristic
558C2×C3C3×#89711yescharacteristic
559C2×C3C3×#89811yescharacteristic
560C2×C3C3×#93011yescharacteristic
561C2×C3C3×#93911yescharacteristic
562C2×C3C3×#94611yescharacteristic
563D3—122no—
564D3—362no—
565C22—182no—
566C22—182no—
567C22—182no—
568C22—361no—
569C22—361no—
570C22—361no—
571C22—361no—
572C22C2×C4⋊((C3⋊D3)⋊C3)11yescharacteristic
573C22#3828⋊C311yescharacteristic
574C22D4×(C3⋊D3)⋊C311yescharacteristic
575C22#3830⋊C311yescharacteristic
576C22Q8×(C3⋊D3)⋊C311yescharacteristic
577C22#8872211yescharacteristic
578C22C2×#638⋊C311yescharacteristic
579C4—22no—
580C4—22no—
581C4—41no—
582C4—182no—
583C4—361no—
584C4—361no—
585C3—31no—
586C3—31no—
587C3—61no—
588C3C3×#499411yescharacteristic
589C2—362no—
590C2#64104⋊C311yescharacteristic
591C2#64105⋊C311yescharacteristic
592C2#64106⋊C311yescharacteristic
593C2#64107⋊C311yescharacteristic
594C2#64139⋊C311yescharacteristic
595C2#64148⋊C311yescharacteristic
596C2#64155⋊C311yescharacteristic
subgroupG/H
centerC23C22×(C3⋊D3)⋊C3
commutator, cosocleC23×C32C23×C3
Frattini, socleC23×C3C22×C3×D3
FittingC2×C4⋊C4×H(3,𝔽3)C2
prime radicalC23×(C3⋊D3)⋊C3C22
hypercenterC2×C4⋊C4(C3⋊D3)⋊C3
hypocenterC32C3×#396
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C4⋊C4×H(3,𝔽3)C2semidirect
5. C2×C4⋊((C3⋊Dic3)⋊C3)C2semidirect
6. C2×#3750⋊C3C2semidirect
7. #63658⋊C3C2semidirect
8. #10592693C3semidirect
24. C2×C32×C4⋊C4D3semidirect
25. C2×C32×C4⋊C4C2×C3semidirect
29. C2×C4⋊(C3⋊Dic3)C2×C3semidirect
30. C2×#3750C2×C3semidirect
36. #63658C2×C3semidirect
305. C2×C4⋊C4(C3⋊D3)⋊C3semidirect
310. H(3,𝔽3)#396semidirect
506. C32#4994semidirect
507. C32C3×#396semidirect

Maximal subgroups

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

subgroupindex
C2×C4⋊C4×H(3,𝔽3)2
C2×#3752⋊C32
C2×C4⋊((C3⋊Dic3)⋊C3)2
C2×#3750⋊C32
#63658⋊C32
#105926933
C3×#49943