Finite Group Databasebeta

← C22×#11758090 #72259366

Subgroups — C22×#11758090 #72259366

Order 3888.

5500 conjugacy classes of subgroups.

The subgroup lattice has 1545 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C3⋊#272C211yesmaximal, characteristic, complemented
2C22×C3⋊(C3⋊((C3⋊D3)⋊C3))C211yesmaximal, characteristic, complemented
3C22×C3×C3⋊((C3⋊D3)⋊C3)C211yesmaximal, characteristic, complemented
4C2×#11758090C2112yesmaximal, direct product factor
5C22×C3⋊#1113—31nomaximal
6C22×C3⋊D32—31nomaximal
7C22×#66432—31nomaximal
8C22×#66432—31nomaximal
9C22×#66432—31nomaximal
10C22×((C3⋊D3)⋊C3)⋊D3—31nomaximal
11C22×C32×H(3,𝔽3)C2211yescharacteristic, complemented
12C2×C3×C3⋊#272C2216yescomplemented
13C2×C3⋊(C3⋊((C3⋊D3)⋊C3))C2216yescomplemented
14C2×C3×C3⋊((C3⋊D3)⋊C3)C2216yescomplemented
15#11758090C22116yesdirect product factor
16C22×C3⋊(C3⋊(C3⋊D3))D311yescharacteristic, complemented
17C22×C3×C3⋊(C3⋊D3)—31no—
18C22×C3×C3⋊(C3⋊D3)D311yescharacteristic, complemented
19C22×C32×C3⋊D3—31no—
20C22×C32×C3⋊D3—31no—
21C22×C32×C3⋊D3—31no—
22C22×C32×C3⋊D3—61no—
23C2×C3⋊#1113—312no—
24C2×C3⋊D32—312no—
25C22×C3⋊#272D311yescharacteristic, complemented
26C22×C3×#272—31no—
27C22×C3×#272—31no—
28C22×C3×#272—31no—
29C22×C3×#272—61no—
30C22×C3×#272—61no—
31C22×C3×#272—61no—
32C22×C3⋊((C3⋊D3)⋊C3)—31no—
33C22×C3⋊((C3⋊D3)⋊C3)—31no—
34C22×C3⋊((C3⋊D3)⋊C3)—31no—
35C22×C3⋊((C3⋊D3)⋊C3)—31no—
36C22×C3⋊((C3⋊D3)⋊C3)—61no—
37C22×C3⋊((C3⋊D3)⋊C3)—61no—
38C22×C3⋊((C3⋊D3)⋊C3)—61no—
39C22×C3⋊((C3⋊D3)⋊C3)—61no—
40C22×C3⋊((C3⋊D3)⋊C3)D311yescharacteristic, complemented
41C22×C3⋊((C3⋊D3)⋊C3)D311yescharacteristic, complemented
42C22×C3⋊((C3⋊D3)⋊C3)D311yescharacteristic, complemented
43C22×C3×(C3⋊D3)⋊C3—31no—
44C22×C3×(C3⋊D3)⋊C3—61no—
45C2×#66432—312no—
46C2×#66432—312no—
47C2×#66432—312no—
48C2×((C3⋊D3)⋊C3)⋊D3—312no—
49C2×C32×H(3,𝔽3)C2313yescomplemented
50C3×C3⋊#272C2314yescomplemented
51C3⋊(C3⋊((C3⋊D3)⋊C3))C2314yescomplemented
52C3×C3⋊((C3⋊D3)⋊C3)C2314yescomplemented
53C22×#1113—91no—
54C22×#1113—91no—
55C22×#1113—91no—
56C22×#1113—91no—
57C22×D3×C3⋊D3—91no—
58C22×D3×C3⋊D3—91no—
59C22×D3×C3⋊D3—91no—
60C22×D3×C3⋊D3—91no—
61C22×D3×C3⋊D3—91no—
62C22×D3×C3⋊D3—91no—
63C22×D3×C3⋊D3—91no—
64C22×D3×C3⋊D3—91no—
65C22×D3×C3⋊D3—91no—
66C22×((C3⋊D3)⋊C3)⋊C2—91no—
67C22×((C3⋊D3)⋊C3)⋊C2—91no—
68C22×((C3⋊D3)⋊C3)⋊C2—91no—
69C22×C34—21no—
70C22×C34C2×D311yescharacteristic, complemented
71C22×C34C2×D311yescharacteristic, complemented
72C2×C3⋊(C3⋊(C3⋊D3))C2×D316yescomplemented
73C2×C3×C3⋊(C3⋊D3)—36no—
74C2×C3×C3⋊(C3⋊D3)C2×D316yescomplemented
75C2×C32×C3⋊D3—36no—
76C2×C32×C3⋊D3—36no—
77C2×C32×C3⋊D3—36no—
78C2×C32×C3⋊D3—66no—
79C3⋊#1113—316no—
80C3⋊D32—316no—
81C22×C3×H(3,𝔽3)—21no—
82C22×C3×H(3,𝔽3)—21no—
83C22×C3×H(3,𝔽3)—21no—
84C22×C3×H(3,𝔽3)—21no—
85C22×C3×H(3,𝔽3)—21no—
86C22×C3×H(3,𝔽3)—21no—
87C22×C3×H(3,𝔽3)—21no—
88C22×C3×H(3,𝔽3)—21no—
89C22×C3×H(3,𝔽3)—41no—
90C22×C3×H(3,𝔽3)—41no—
91C22×C3×H(3,𝔽3)—41no—
92C22×C3×H(3,𝔽3)—41no—
93C22×C3×H(3,𝔽3)C2×D311yescharacteristic, complemented
94C22×C3×H(3,𝔽3)C2×D311yescharacteristic, complemented
95C22×C3×H(3,𝔽3)C2×D311yescharacteristic, complemented
96C22×C3×H(3,𝔽3)C2×D311yescharacteristic, complemented
97C2×C3⋊#272C2×D316yescomplemented
98C2×C3×#272—36no—
99C2×C3×#272—36no—
100C2×C3×#272—36no—
101C2×C3×#272—66no—
102C2×C3×#272—66no—
103C2×C3×#272—66no—
104C2×C3⋊((C3⋊D3)⋊C3)—36no—
105C2×C3⋊((C3⋊D3)⋊C3)—36no—
106C2×C3⋊((C3⋊D3)⋊C3)—36no—
107C2×C3⋊((C3⋊D3)⋊C3)—36no—
108C2×C3⋊((C3⋊D3)⋊C3)—66no—
109C2×C3⋊((C3⋊D3)⋊C3)—66no—
110C2×C3⋊((C3⋊D3)⋊C3)—66no—
111C2×C3⋊((C3⋊D3)⋊C3)—66no—
112C2×C3⋊((C3⋊D3)⋊C3)C2×D316yescomplemented
113C2×C3⋊((C3⋊D3)⋊C3)C2×D316yescomplemented
114C2×C3⋊((C3⋊D3)⋊C3)C2×D316yescomplemented
115C2×C3×(C3⋊D3)⋊C3—36no—
116C2×C3×(C3⋊D3)⋊C3—66no—
117#66432—316no—
118#66432—316no—
119#66432—316no—
120((C3⋊D3)⋊C3)⋊D3—316no—
121C32×H(3,𝔽3)C2411yescharacteristic, complemented, Sylow
122C22×C3⋊(C3⋊D3)—31no—
123C22×C3⋊(C3⋊D3)—31no—
124C22×C3⋊(C3⋊D3)—31no—
125C22×C3⋊(C3⋊D3)—31no—
126C22×C3⋊(C3⋊D3)—31no—
127C22×C3⋊(C3⋊D3)—61no—
128C22×C3⋊(C3⋊D3)—61no—
129C22×C3⋊(C3⋊D3)—61no—
130C22×C3⋊(C3⋊D3)—61no—
131C22×C3⋊(C3⋊D3)—181no—
132C22×C3⋊(C3⋊D3)—181no—
133C22×C3⋊(C3⋊D3)—181no—
134C22×C3⋊(C3⋊D3)—181no—
135C22×C3⋊(C3⋊D3)—181no—
136C22×C3⋊(C3⋊D3)—181no—
137C22×C3⋊(C3⋊D3)C3⋊D311yescharacteristic, complemented
138C22×C3×C3⋊D3—31no—
139C22×C3×C3⋊D3—31no—
140C22×C3×C3⋊D3—31no—
141C22×C3×C3⋊D3—31no—
142C22×C3×C3⋊D3—31no—
143C22×C3×C3⋊D3—31no—
144C22×C3×C3⋊D3—31no—
145C22×C3×C3⋊D3—31no—
146C22×C3×C3⋊D3—31no—
147C22×C3×C3⋊D3—31no—
148C22×C3×C3⋊D3—31no—
149C22×C3×C3⋊D3—31no—
150C22×C3×C3⋊D3—31no—
151C22×C3×C3⋊D3—61no—
152C22×C3×C3⋊D3—61no—
153C22×C3×C3⋊D3—61no—
154C22×C3×C3⋊D3—61no—
155C22×C3×C3⋊D3—61no—
156C22×C3×C3⋊D3—91no—
157C22×C3×C3⋊D3—91no—
158C22×C3×C3⋊D3—91no—
159C22×C3×C3⋊D3—91no—
160C22×C3×C3⋊D3—91no—
161C22×C3×C3⋊D3—91no—
162C22×C3×C3⋊D3—91no—
163C22×C3×C3⋊D3—181no—
164C22×C3×C3⋊D3—181no—
165C22×C3×C3⋊D3—181no—
166C22×C3×C3⋊D3—181no—
167C22×C3×C3⋊D3—181no—
168C22×C32×D3—91no—
169C22×C32×D3—91no—
170C22×C32×D3—91no—
171C22×C32×D3—91no—
172C22×C32×D3—91no—
173C22×C32×D3—91no—
174C22×C32×D3—91no—
175C22×C32×D3—91no—
176C22×C32×D3—91no—
177C22×C32×D3—181no—
178C22×C32×D3—181no—
179C22×C32×D3—181no—
180C22×C32×D3—181no—
181C2×#1113—912no—
182C2×#1113—912no—
183C2×#1113—912no—
184C2×#1113—912no—
185C2×D3×C3⋊D3—912no—
186C2×D3×C3⋊D3—912no—
187C2×D3×C3⋊D3—912no—
188C2×D3×C3⋊D3—912no—
189C2×D3×C3⋊D3—912no—
190C2×D3×C3⋊D3—912no—
191C2×D3×C3⋊D3—912no—
192C2×D3×C3⋊D3—912no—
193C2×D3×C3⋊D3—912no—
194C22×#272—31no—
195C22×#272—31no—
196C22×#272—31no—
197C22×#272—61no—
198C22×#272—61no—
199C22×#272—61no—
200C22×(C3⋊D3)⋊C3—31no—
201C22×(C3⋊D3)⋊C3—31no—
202C22×(C3⋊D3)⋊C3—31no—
203C22×(C3⋊D3)⋊C3—61no—
204C22×(C3⋊D3)⋊C3—61no—
205C22×(C3⋊D3)⋊C3—61no—
206C22×(C3⋊D3)⋊C3—91no—
207C22×(C3⋊D3)⋊C3—91no—
208C22×(C3⋊D3)⋊C3—91no—
209C22×(C3⋊D3)⋊C3—181no—
210C22×(C3⋊D3)⋊C3—181no—
211C22×(C3⋊D3)⋊C3—181no—
212C2×((C3⋊D3)⋊C3)⋊C2—912no—
213C2×((C3⋊D3)⋊C3)⋊C2—912no—
214C2×((C3⋊D3)⋊C3)⋊C2—912no—
215C2×C34—23no—
216C2×C34C22×D313yescomplemented
217C2×C34C22×D313yescomplemented
218C3⋊(C3⋊(C3⋊D3))C22×D314yescomplemented
219C3×C3⋊(C3⋊D3)—34no—
220C3×C3⋊(C3⋊D3)C22×D314yescomplemented
221C32×C3⋊D3—34no—
222C32×C3⋊D3—34no—
223C32×C3⋊D3—34no—
224C32×C3⋊D3—64no—
225C2×C3×H(3,𝔽3)—23no—
226C2×C3×H(3,𝔽3)—23no—
227C2×C3×H(3,𝔽3)—23no—
228C2×C3×H(3,𝔽3)—23no—
229C2×C3×H(3,𝔽3)—23no—
230C2×C3×H(3,𝔽3)—23no—
231C2×C3×H(3,𝔽3)—23no—
232C2×C3×H(3,𝔽3)—23no—
233C2×C3×H(3,𝔽3)—43no—
234C2×C3×H(3,𝔽3)—43no—
235C2×C3×H(3,𝔽3)—43no—
236C2×C3×H(3,𝔽3)—43no—
237C2×C3×H(3,𝔽3)C22×D313yescomplemented
238C2×C3×H(3,𝔽3)C22×D313yescomplemented
239C2×C3×H(3,𝔽3)C22×D313yescomplemented
240C2×C3×H(3,𝔽3)C22×D313yescomplemented
241C3⋊#272C22×D314yescomplemented
242C3×#272—34no—
243C3×#272—34no—
244C3×#272—34no—
245C3×#272—64no—
246C3×#272—64no—
247C3×#272—64no—
248C3⋊((C3⋊D3)⋊C3)—34no—
249C3⋊((C3⋊D3)⋊C3)—34no—
250C3⋊((C3⋊D3)⋊C3)—34no—
251C3⋊((C3⋊D3)⋊C3)—34no—
252C3⋊((C3⋊D3)⋊C3)—64no—
253C3⋊((C3⋊D3)⋊C3)—64no—
254C3⋊((C3⋊D3)⋊C3)—64no—
255C3⋊((C3⋊D3)⋊C3)—64no—
256C3⋊((C3⋊D3)⋊C3)C22×D314yescomplemented
257C3⋊((C3⋊D3)⋊C3)C22×D314yescomplemented
258C3⋊((C3⋊D3)⋊C3)C22×D314yescomplemented
259C3×(C3⋊D3)⋊C3—34no—
260C3×(C3⋊D3)⋊C3—64no—
261C23×C3⋊D3—271no—
262C23×C3⋊D3—271no—
263C22×D32—271no—
264C22×D32—271no—
265C22×D32—271no—
266C22×D32—271no—
267C22×D32—271no—
268C22×D32—271no—
269C22×D32—271no—
270C22×D32—271no—
271C22×D32—271no—
272C22×D32—271no—
273C22×D32—271no—
274C22×D32—271no—
275C22×D32—271no—
276C22×D32—271no—
277C22×D32—271no—
278C22×D32—271no—
279C22×D32—271no—
280C22×D32—271no—
281C22×D32—271no—
282C22×D32—271no—
283C22×D32—271no—
284C22×C33—21no—
285C22×C33—21no—
286C22×C33—21no—
287C22×C33—21no—
288C22×C33—21no—
289C22×C33—21no—
290C22×C33—21no—
291C22×C33—21no—
292C22×C33—21no—
293C22×C33—21no—
294C22×C33—21no—
295C22×C33—31no—
296C22×C33—31no—
297C22×C33—41no—
298C22×C33—41no—
299C22×C33—41no—
300C22×C33—41no—
301C22×C33—41no—
302C22×C33—61no—
303C22×C33—61no—
304C22×C33—61no—
305C22×C33—61no—
306C22×C33—61no—
307C22×C33—61no—
308C22×C33—61no—
309C22×C33—61no—
310C22×C33—61no—
311C22×C33—61no—
312C22×C33—121no—
313C22×C33—121no—
314C22×C33—121no—
315C22×C33—121no—
316C22×C33—121no—
317C22×C33—121no—
318C22×C33D3211yescharacteristic
319C22×C33D3211yescharacteristic, complemented
320C22×C33D3211yescharacteristic, complemented
321C22×C33D3211yescharacteristic, complemented
322C22×C33D3211yescharacteristic, complemented
323C22×C33D3211yescharacteristic, complemented
324C22×C33C2×C3⋊D311yescharacteristic, complemented
325C2×C3⋊(C3⋊D3)—36no—
326C2×C3⋊(C3⋊D3)—36no—
327C2×C3⋊(C3⋊D3)—36no—
328C2×C3⋊(C3⋊D3)—36no—
329C2×C3⋊(C3⋊D3)—36no—
330C2×C3⋊(C3⋊D3)—66no—
331C2×C3⋊(C3⋊D3)—66no—
332C2×C3⋊(C3⋊D3)—66no—
333C2×C3⋊(C3⋊D3)—66no—
334C2×C3⋊(C3⋊D3)—186no—
335C2×C3⋊(C3⋊D3)—186no—
336C2×C3⋊(C3⋊D3)—186no—
337C2×C3⋊(C3⋊D3)—186no—
338C2×C3⋊(C3⋊D3)—186no—
339C2×C3⋊(C3⋊D3)—186no—
340C2×C3⋊(C3⋊D3)C2×C3⋊D316yescomplemented
341C2×C3×C3⋊D3—36no—
342C2×C3×C3⋊D3—36no—
343C2×C3×C3⋊D3—36no—
344C2×C3×C3⋊D3—36no—
345C2×C3×C3⋊D3—36no—
346C2×C3×C3⋊D3—36no—
347C2×C3×C3⋊D3—36no—
348C2×C3×C3⋊D3—36no—
349C2×C3×C3⋊D3—36no—
350C2×C3×C3⋊D3—36no—
351C2×C3×C3⋊D3—36no—
352C2×C3×C3⋊D3—36no—
353C2×C3×C3⋊D3—36no—
354C2×C3×C3⋊D3—66no—
355C2×C3×C3⋊D3—66no—
356C2×C3×C3⋊D3—66no—
357C2×C3×C3⋊D3—66no—
358C2×C3×C3⋊D3—66no—
359C2×C3×C3⋊D3—96no—
360C2×C3×C3⋊D3—96no—
361C2×C3×C3⋊D3—96no—
362C2×C3×C3⋊D3—96no—
363C2×C3×C3⋊D3—96no—
364C2×C3×C3⋊D3—96no—
365C2×C3×C3⋊D3—96no—
366C2×C3×C3⋊D3—186no—
367C2×C3×C3⋊D3—186no—
368C2×C3×C3⋊D3—186no—
369C2×C3×C3⋊D3—186no—
370C2×C3×C3⋊D3—186no—
371C2×C32×D3—96no—
372C2×C32×D3—96no—
373C2×C32×D3—96no—
374C2×C32×D3—96no—
375C2×C32×D3—96no—
376C2×C32×D3—96no—
377C2×C32×D3—96no—
378C2×C32×D3—96no—
379C2×C32×D3—96no—
380C2×C32×D3—186no—
381C2×C32×D3—186no—
382C2×C32×D3—186no—
383C2×C32×D3—186no—
384#1113—916no—
385#1113—916no—
386#1113—916no—
387#1113—916no—
388D3×C3⋊D3—916no—
389D3×C3⋊D3—916no—
390D3×C3⋊D3—916no—
391D3×C3⋊D3—916no—
392D3×C3⋊D3—916no—
393D3×C3⋊D3—916no—
394D3×C3⋊D3—916no—
395D3×C3⋊D3—916no—
396D3×C3⋊D3—916no—
397C22×H(3,𝔽3)—21no—
398C22×H(3,𝔽3)—21no—
399C22×H(3,𝔽3)—21no—
400C22×H(3,𝔽3)—21no—
401C22×H(3,𝔽3)—21no—
402C22×H(3,𝔽3)—21no—
403C22×H(3,𝔽3)—21no—
404C22×H(3,𝔽3)—21no—
405C22×H(3,𝔽3)—21no—
406C22×H(3,𝔽3)—41no—
407C22×H(3,𝔽3)—41no—
408C22×H(3,𝔽3)—41no—
409C22×H(3,𝔽3)—41no—
410C22×H(3,𝔽3)—41no—
411C22×H(3,𝔽3)—41no—
412C22×H(3,𝔽3)—41no—
413C22×H(3,𝔽3)—41no—
414C22×H(3,𝔽3)—41no—
415C22×H(3,𝔽3)—41no—
416C22×H(3,𝔽3)—41no—
417C22×H(3,𝔽3)—41no—
418C22×H(3,𝔽3)—41no—
419C22×H(3,𝔽3)—41no—
420C22×H(3,𝔽3)—41no—
421C22×H(3,𝔽3)D3211yescharacteristic, complemented
422C22×H(3,𝔽3)D3211yescharacteristic, complemented
423C22×H(3,𝔽3)D3211yescharacteristic, complemented
424C2×#272—36no—
425C2×#272—36no—
426C2×#272—36no—
427C2×#272—66no—
428C2×#272—66no—
429C2×#272—66no—
430C2×(C3⋊D3)⋊C3—36no—
431C2×(C3⋊D3)⋊C3—36no—
432C2×(C3⋊D3)⋊C3—36no—
433C2×(C3⋊D3)⋊C3—66no—
434C2×(C3⋊D3)⋊C3—66no—
435C2×(C3⋊D3)⋊C3—66no—
436C2×(C3⋊D3)⋊C3—96no—
437C2×(C3⋊D3)⋊C3—96no—
438C2×(C3⋊D3)⋊C3—96no—
439C2×(C3⋊D3)⋊C3—186no—
440C2×(C3⋊D3)⋊C3—186no—
441C2×(C3⋊D3)⋊C3—186no—
442((C3⋊D3)⋊C3)⋊C2—916no—
443((C3⋊D3)⋊C3)⋊C2—916no—
444((C3⋊D3)⋊C3)⋊C2—916no—
445C34—21no—
446C34C23×D311yescharacteristic, complemented
447C34C23×D311yescharacteristic, complemented
448C3×H(3,𝔽3)—21no—
449C3×H(3,𝔽3)—21no—
450C3×H(3,𝔽3)—21no—
451C3×H(3,𝔽3)—21no—
452C3×H(3,𝔽3)—21no—
453C3×H(3,𝔽3)—21no—
454C3×H(3,𝔽3)—21no—
455C3×H(3,𝔽3)—21no—
456C3×H(3,𝔽3)—41no—
457C3×H(3,𝔽3)—41no—
458C3×H(3,𝔽3)—41no—
459C3×H(3,𝔽3)—41no—
460C3×H(3,𝔽3)C23×D311yescharacteristic, complemented
461C3×H(3,𝔽3)C23×D311yescharacteristic, complemented
462C3×H(3,𝔽3)C23×D311yescharacteristic, complemented
463C3×H(3,𝔽3)C23×D311yescharacteristic, complemented
464C23×C32—271no—
465C23×C32—271no—
466C22×C3⋊D3—31no—
467C22×C3⋊D3—31no—
468C22×C3⋊D3—31no—
469C22×C3⋊D3—31no—
470C22×C3⋊D3—61no—
471C22×C3⋊D3—61no—
472C22×C3⋊D3—91no—
473C22×C3⋊D3—91no—
474C22×C3⋊D3—91no—
475C22×C3⋊D3—91no—
476C22×C3⋊D3—91no—
477C22×C3⋊D3—91no—
478C22×C3⋊D3—91no—
479C22×C3⋊D3—91no—
480C22×C3⋊D3—91no—
481C22×C3⋊D3—181no—
482C22×C3⋊D3—181no—
483C22×C3⋊D3—181no—
484C22×C3⋊D3—181no—
485C22×C3⋊D3—181no—
486C22×C3⋊D3—181no—
487C22×C3⋊D3—181no—
488C22×C3⋊D3—181no—
489C22×C3⋊D3—181no—
490C22×C3⋊D3—271no—
491C22×C3⋊D3—271no—
492C22×C3⋊D3—271no—
493C22×C3⋊D3—2712no—
494C22×C3⋊D3—2712no—
495C22×C3⋊D3—541no—
496C22×C3⋊D3—541no—
497C22×C3⋊D3—541no—
498C22×C3⋊D3—541no—
499C22×C3⋊D3—541no—
500C22×C3⋊D3—541no—
501C22×C3⋊D3—541no—
502C22×C3⋊D3—541no—
503C22×C3⋊D3—541no—
504C22×C3⋊D3—541no—
505C22×C3⋊D3—541no—
506C22×C3⋊D3—541no—
507C22×C3⋊D3—541no—
508C22×C3⋊D3—541no—
509C22×C3⋊D3—541no—
510C22×C3⋊D3—541no—
511C22×C3⋊D3—541no—
512C22×C3⋊D3—541no—
513C22×C3⋊D3—542no—
514C22×C3×D3—91no—
515C22×C3×D3—91no—
516C22×C3×D3—91no—
517C22×C3×D3—91no—
518C22×C3×D3—91no—
519C22×C3×D3—91no—
520C22×C3×D3—91no—
521C22×C3×D3—91no—
522C22×C3×D3—91no—
523C22×C3×D3—91no—
524C22×C3×D3—91no—
525C22×C3×D3—91no—
526C22×C3×D3—91no—
527C22×C3×D3—91no—
528C22×C3×D3—91no—
529C22×C3×D3—91no—
530C22×C3×D3—91no—
531C22×C3×D3—91no—
532C22×C3×D3—91no—
533C22×C3×D3—91no—
534C22×C3×D3—91no—
535C22×C3×D3—91no—
536C22×C3×D3—91no—
537C22×C3×D3—91no—
538C22×C3×D3—91no—
539C22×C3×D3—91no—
540C22×C3×D3—91no—
541C22×C3×D3—91no—
542C22×C3×D3—91no—
543C22×C3×D3—91no—
544C22×C3×D3—91no—
545C22×C3×D3—91no—
546C22×C3×D3—91no—
547C22×C3×D3—91no—
548C22×C3×D3—91no—
549C22×C3×D3—91no—
550C22×C3×D3—181no—
551C22×C3×D3—181no—
552C22×C3×D3—181no—
553C22×C3×D3—181no—
554C22×C3×D3—181no—
555C22×C3×D3—181no—
556C22×C3×D3—181no—
557C22×C3×D3—181no—
558C22×C3×D3—181no—
559C22×C3×D3—181no—
560C22×C3×D3—181no—
561C22×C3×D3—181no—
562C22×C3×D3—181no—
563C22×C3×D3—181no—
564C22×C3×D3—181no—
565C22×C3×D3—181no—
566C22×C3×D3—271no—
567C22×C3×D3—271no—
568C22×C3×D3—271no—
569C22×C3×D3—271no—
570C22×C3×D3—271no—
571C22×C3×D3—541no—
572C22×C3×D3—541no—
573C22×C3×D3—541no—
574C22×C3×D3—541no—
575C22×C3×D3—541no—
576C22×C3×D3—541no—
577C2×D32—2712no—
578C2×D32—2712no—
579C2×D32—2712no—
580C2×D32—2712no—
581C2×D32—2712no—
582C2×D32—2712no—
583C2×D32—2712no—
584C2×D32—2712no—
585C2×D32—2712no—
586C2×D32—2712no—
587C2×D32—2712no—
588C2×D32—2712no—
589C2×D32—2712no—
590C2×D32—2712no—
591C2×D32—2712no—
592C2×D32—2712no—
593C2×D32—2712no—
594C2×D32—2712no—
595C2×D32—2712no—
596C2×D32—2712no—
597C2×D32—2712no—
598C2×C33—23no—
599C2×C33—23no—
600C2×C33—23no—
601C2×C33—23no—
602C2×C33—23no—
603C2×C33—23no—
604C2×C33—23no—
605C2×C33—23no—
606C2×C33—23no—
607C2×C33—23no—
608C2×C33—23no—
609C2×C33—33no—
610C2×C33—33no—
611C2×C33—43no—
612C2×C33—43no—
613C2×C33—43no—
614C2×C33—43no—
615C2×C33—43no—
616C2×C33—63no—
617C2×C33—63no—
618C2×C33—63no—
619C2×C33—63no—
620C2×C33—63no—
621C2×C33—63no—
622C2×C33—63no—
623C2×C33—63no—
624C2×C33—63no—
625C2×C33—63no—
626C2×C33—123no—
627C2×C33—123no—
628C2×C33—123no—
629C2×C33—123no—
630C2×C33—123no—
631C2×C33—123no—
632C2×C33C2×D3213yes—
633C2×C33C2×D3213yescomplemented
634C2×C33C2×D3213yescomplemented
635C2×C33C2×D3213yescomplemented
636C2×C33C2×D3213yescomplemented
637C2×C33C2×D3213yescomplemented
638C2×C33C22×C3⋊D313yescomplemented
639C3⋊(C3⋊D3)—34no—
640C3⋊(C3⋊D3)—34no—
641C3⋊(C3⋊D3)—34no—
642C3⋊(C3⋊D3)—34no—
643C3⋊(C3⋊D3)—34no—
644C3⋊(C3⋊D3)—64no—
645C3⋊(C3⋊D3)—64no—
646C3⋊(C3⋊D3)—64no—
647C3⋊(C3⋊D3)—64no—
648C3⋊(C3⋊D3)—184no—
649C3⋊(C3⋊D3)—184no—
650C3⋊(C3⋊D3)—184no—
651C3⋊(C3⋊D3)—184no—
652C3⋊(C3⋊D3)—184no—
653C3⋊(C3⋊D3)—184no—
654C3⋊(C3⋊D3)C22×C3⋊D314yescomplemented
655C3×C3⋊D3—34no—
656C3×C3⋊D3—34no—
657C3×C3⋊D3—34no—
658C3×C3⋊D3—34no—
659C3×C3⋊D3—34no—
660C3×C3⋊D3—34no—
661C3×C3⋊D3—34no—
662C3×C3⋊D3—34no—
663C3×C3⋊D3—34no—
664C3×C3⋊D3—34no—
665C3×C3⋊D3—34no—
666C3×C3⋊D3—34no—
667C3×C3⋊D3—34no—
668C3×C3⋊D3—64no—
669C3×C3⋊D3—64no—
670C3×C3⋊D3—64no—
671C3×C3⋊D3—64no—
672C3×C3⋊D3—64no—
673C3×C3⋊D3—94no—
674C3×C3⋊D3—94no—
675C3×C3⋊D3—94no—
676C3×C3⋊D3—94no—
677C3×C3⋊D3—94no—
678C3×C3⋊D3—94no—
679C3×C3⋊D3—94no—
680C3×C3⋊D3—184no—
681C3×C3⋊D3—184no—
682C3×C3⋊D3—184no—
683C3×C3⋊D3—184no—
684C3×C3⋊D3—184no—
685C32×D3—94no—
686C32×D3—94no—
687C32×D3—94no—
688C32×D3—94no—
689C32×D3—94no—
690C32×D3—94no—
691C32×D3—94no—
692C32×D3—94no—
693C32×D3—94no—
694C32×D3—184no—
695C32×D3—184no—
696C32×D3—184no—
697C32×D3—184no—
698C2×H(3,𝔽3)—23no—
699C2×H(3,𝔽3)—23no—
700C2×H(3,𝔽3)—23no—
701C2×H(3,𝔽3)—23no—
702C2×H(3,𝔽3)—23no—
703C2×H(3,𝔽3)—23no—
704C2×H(3,𝔽3)—23no—
705C2×H(3,𝔽3)—23no—
706C2×H(3,𝔽3)—23no—
707C2×H(3,𝔽3)—43no—
708C2×H(3,𝔽3)—43no—
709C2×H(3,𝔽3)—43no—
710C2×H(3,𝔽3)—43no—
711C2×H(3,𝔽3)—43no—
712C2×H(3,𝔽3)—43no—
713C2×H(3,𝔽3)—43no—
714C2×H(3,𝔽3)—43no—
715C2×H(3,𝔽3)—43no—
716C2×H(3,𝔽3)—43no—
717C2×H(3,𝔽3)—43no—
718C2×H(3,𝔽3)—43no—
719C2×H(3,𝔽3)—43no—
720C2×H(3,𝔽3)—43no—
721C2×H(3,𝔽3)—43no—
722C2×H(3,𝔽3)C2×D3213yescomplemented
723C2×H(3,𝔽3)C2×D3213yescomplemented
724C2×H(3,𝔽3)C2×D3213yescomplemented
725#272—34no—
726#272—34no—
727#272—34no—
728#272—64no—
729#272—64no—
730#272—64no—
731(C3⋊D3)⋊C3—34no—
732(C3⋊D3)⋊C3—34no—
733(C3⋊D3)⋊C3—34no—
734(C3⋊D3)⋊C3—64no—
735(C3⋊D3)⋊C3—64no—
736(C3⋊D3)⋊C3—64no—
737(C3⋊D3)⋊C3—94no—
738(C3⋊D3)⋊C3—94no—
739(C3⋊D3)⋊C3—94no—
740(C3⋊D3)⋊C3—184no—
741(C3⋊D3)⋊C3—184no—
742(C3⋊D3)⋊C3—184no—
743C23×D3—811no—
744C23×D3—811no—
745C23×D3—811no—
746C23×D3—811no—
747C23×D3—811no—
748C23×D3—811no—
749C23×D3—811no—
750C23×D3—811no—
751C23×D3—811no—
752C22×C32—21no—
753C22×C32—21no—
754C22×C32—21no—
755C22×C32—21no—
756C22×C32—21no—
757C22×C32—21no—
758C22×C32—21no—
759C22×C32—21no—
760C22×C32—21no—
761C22×C32—21no—
762C22×C32—21no—
763C22×C32—21no—
764C22×C32—31no—
765C22×C32—31no—
766C22×C32—31no—
767C22×C32—31no—
768C22×C32—41no—
769C22×C32—41no—
770C22×C32—41no—
771C22×C32—41no—
772C22×C32—61no—
773C22×C32—61no—
774C22×C32—61no—
775C22×C32—61no—
776C22×C32—61no—
777C22×C32—61no—
778C22×C32—61no—
779C22×C32—61no—
780C22×C32—61no—
781C22×C32—61no—
782C22×C32—61no—
783C22×C32—62no—
784C22×C32—61no—
785C22×C32—61no—
786C22×C32—61no—
787C22×C32—61no—
788C22×C32—61no—
789C22×C32—61no—
790C22×C32—61no—
791C22×C32—61no—
792C22×C32—61no—
793C22×C32—61no—
794C22×C32—61no—
795C22×C32—61no—
796C22×C32—61no—
797C22×C32—61no—
798C22×C32—61no—
799C22×C32—61no—
800C22×C32—121no—
801C22×C32—121no—
802C22×C32—121no—
803C22×C32—121no—
804C22×C32—121no—
805C22×C32—121no—
806C22×C32—121no—
807C22×C32—121no—
808C22×C32—121no—
809C22×C32—121no—
810C22×C32—121no—
811C22×C32—121no—
812C22×C32—121no—
813C22×C32—121no—
814C22×C32—121no—
815C22×C32—121no—
816C22×C32—121no—
817C22×C32—122no—
818C22×C32—121no—
819C22×C32—121no—
820C22×C32—121no—
821C22×C32—121no—
822C22×C32—121no—
823C22×C32—121no—
824C22×C32—121no—
825C22×C32—121no—
826C22×C32—121no—
827C22×C32—121no—
828C22×C32—276no—
829C22×C32—276no—
830C22×C32((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
831C22×C32((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
832C22×C32((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
833C22×C32D3×C3⋊D311yescharacteristic
834C22×C32D3×C3⋊D311yescharacteristic, complemented
835C22×C32#111311yescharacteristic
836C22×C32#111311yescharacteristic, complemented
837C22×C32#111311yescharacteristic, complemented
838C22×C32#111311yescharacteristic, complemented
839C2×C3⋊D3—36no—
840C2×C3⋊D3—36no—
841C2×C3⋊D3—36no—
842C2×C3⋊D3—36no—
843C2×C3⋊D3—66no—
844C2×C3⋊D3—66no—
845C2×C3⋊D3—96no—
846C2×C3⋊D3—96no—
847C2×C3⋊D3—96no—
848C2×C3⋊D3—96no—
849C2×C3⋊D3—96no—
850C2×C3⋊D3—96no—
851C2×C3⋊D3—96no—
852C2×C3⋊D3—96no—
853C2×C3⋊D3—96no—
854C2×C3⋊D3—186no—
855C2×C3⋊D3—186no—
856C2×C3⋊D3—186no—
857C2×C3⋊D3—186no—
858C2×C3⋊D3—186no—
859C2×C3⋊D3—186no—
860C2×C3⋊D3—186no—
861C2×C3⋊D3—186no—
862C2×C3⋊D3—186no—
863C2×C3⋊D3—276no—
864C2×C3⋊D3—276no—
865C2×C3⋊D3—276no—
866C2×C3⋊D3—2716no—
867C2×C3⋊D3—2716no—
868C2×C3⋊D3—546no—
869C2×C3⋊D3—546no—
870C2×C3⋊D3—546no—
871C2×C3⋊D3—546no—
872C2×C3⋊D3—546no—
873C2×C3⋊D3—546no—
874C2×C3⋊D3—546no—
875C2×C3⋊D3—546no—
876C2×C3⋊D3—546no—
877C2×C3⋊D3—546no—
878C2×C3⋊D3—546no—
879C2×C3⋊D3—546no—
880C2×C3⋊D3—546no—
881C2×C3⋊D3—546no—
882C2×C3⋊D3—546no—
883C2×C3⋊D3—546no—
884C2×C3⋊D3—546no—
885C2×C3⋊D3—546no—
886C2×C3⋊D3—5412no—
887C2×C3×D3—96no—
888C2×C3×D3—96no—
889C2×C3×D3—96no—
890C2×C3×D3—96no—
891C2×C3×D3—96no—
892C2×C3×D3—96no—
893C2×C3×D3—96no—
894C2×C3×D3—96no—
895C2×C3×D3—96no—
896C2×C3×D3—96no—
897C2×C3×D3—96no—
898C2×C3×D3—96no—
899C2×C3×D3—96no—
900C2×C3×D3—96no—
901C2×C3×D3—96no—
902C2×C3×D3—96no—
903C2×C3×D3—96no—
904C2×C3×D3—96no—
905C2×C3×D3—96no—
906C2×C3×D3—96no—
907C2×C3×D3—96no—
908C2×C3×D3—96no—
909C2×C3×D3—96no—
910C2×C3×D3—96no—
911C2×C3×D3—96no—
912C2×C3×D3—96no—
913C2×C3×D3—96no—
914C2×C3×D3—96no—
915C2×C3×D3—96no—
916C2×C3×D3—96no—
917C2×C3×D3—96no—
918C2×C3×D3—96no—
919C2×C3×D3—96no—
920C2×C3×D3—96no—
921C2×C3×D3—96no—
922C2×C3×D3—96no—
923C2×C3×D3—186no—
924C2×C3×D3—186no—
925C2×C3×D3—186no—
926C2×C3×D3—186no—
927C2×C3×D3—186no—
928C2×C3×D3—186no—
929C2×C3×D3—186no—
930C2×C3×D3—186no—
931C2×C3×D3—186no—
932C2×C3×D3—186no—
933C2×C3×D3—186no—
934C2×C3×D3—186no—
935C2×C3×D3—186no—
936C2×C3×D3—186no—
937C2×C3×D3—186no—
938C2×C3×D3—186no—
939C2×C3×D3—276no—
940C2×C3×D3—276no—
941C2×C3×D3—276no—
942C2×C3×D3—276no—
943C2×C3×D3—276no—
944C2×C3×D3—546no—
945C2×C3×D3—546no—
946C2×C3×D3—546no—
947C2×C3×D3—546no—
948C2×C3×D3—546no—
949C2×C3×D3—546no—
950D32—2716no—
951D32—2716no—
952D32—2716no—
953D32—2716no—
954D32—2716no—
955D32—2716no—
956D32—2716no—
957D32—2716no—
958D32—2716no—
959D32—2716no—
960D32—2716no—
961D32—2716no—
962D32—2716no—
963D32—2716no—
964D32—2716no—
965D32—2716no—
966D32—2716no—
967D32—2716no—
968D32—2716no—
969D32—2716no—
970D32—2716no—
971C33—21no—
972C33—21no—
973C33—21no—
974C33—21no—
975C33—21no—
976C33—21no—
977C33—21no—
978C33—21no—
979C33—21no—
980C33—21no—
981C33—21no—
982C33—31no—
983C33—31no—
984C33—41no—
985C33—41no—
986C33—41no—
987C33—41no—
988C33—41no—
989C33—61no—
990C33—61no—
991C33—61no—
992C33—61no—
993C33—61no—
994C33—61no—
995C33—61no—
996C33—61no—
997C33—61no—
998C33—61no—
999C33—121no—
1000C33—121no—
1001C33—121no—
1002C33—121no—
1003C33—121no—
1004C33—121no—
1005C33C22×D3211yescharacteristic
1006C33C22×D3211yescharacteristic, complemented
1007C33C22×D3211yescharacteristic, complemented
1008C33C22×D3211yescharacteristic, complemented
1009C33C22×D3211yescharacteristic, complemented
1010C33C22×D3211yescharacteristic, complemented
1011C33C23×C3⋊D311yescharacteristic, complemented
1012H(3,𝔽3)—21no—
1013H(3,𝔽3)—21no—
1014H(3,𝔽3)—21no—
1015H(3,𝔽3)—21no—
1016H(3,𝔽3)—21no—
1017H(3,𝔽3)—21no—
1018H(3,𝔽3)—21no—
1019H(3,𝔽3)—21no—
1020H(3,𝔽3)—21no—
1021H(3,𝔽3)—41no—
1022H(3,𝔽3)—41no—
1023H(3,𝔽3)—41no—
1024H(3,𝔽3)—41no—
1025H(3,𝔽3)—41no—
1026H(3,𝔽3)—41no—
1027H(3,𝔽3)—41no—
1028H(3,𝔽3)—41no—
1029H(3,𝔽3)—41no—
1030H(3,𝔽3)—41no—
1031H(3,𝔽3)—41no—
1032H(3,𝔽3)—41no—
1033H(3,𝔽3)—41no—
1034H(3,𝔽3)—41no—
1035H(3,𝔽3)—41no—
1036H(3,𝔽3)C22×D3211yescharacteristic, complemented
1037H(3,𝔽3)C22×D3211yescharacteristic, complemented
1038H(3,𝔽3)C22×D3211yescharacteristic, complemented
1039C23×C3—271no—
1040C23×C3—271no—
1041C23×C3—271no—
1042C23×C3—271no—
1043C23×C3—271no—
1044C23×C3—271no—
1045C23×C3—271no—
1046C23×C3—271no—
1047C23×C3—811no—
1048C22×D3—91no—
1049C22×D3—91no—
1050C22×D3—91no—
1051C22×D3—91no—
1052C22×D3—91no—
1053C22×D3—91no—
1054C22×D3—91no—
1055C22×D3—91no—
1056C22×D3—91no—
1057C22×D3—181no—
1058C22×D3—181no—
1059C22×D3—181no—
1060C22×D3—181no—
1061C22×D3—271no—
1062C22×D3—271no—
1063C22×D3—271no—
1064C22×D3—271no—
1065C22×D3—271no—
1066C22×D3—271no—
1067C22×D3—541no—
1068C22×D3—541no—
1069C22×D3—541no—
1070C22×D3—541no—
1071C22×D3—541no—
1072C22×D3—811no—
1073C22×D3—8112no—
1074C22×D3—8112no—
1075C22×D3—8112no—
1076C22×D3—8112no—
1077C22×D3—8112no—
1078C22×D3—8112no—
1079C22×D3—8112no—
1080C22×D3—8112no—
1081C22×D3—8112no—
1082C22×D3—1621no—
1083C22×D3—1621no—
1084C22×D3—1621no—
1085C22×D3—1621no—
1086C22×D3—1621no—
1087C2×C32—23no—
1088C2×C32—23no—
1089C2×C32—23no—
1090C2×C32—23no—
1091C2×C32—23no—
1092C2×C32—23no—
1093C2×C32—23no—
1094C2×C32—23no—
1095C2×C32—23no—
1096C2×C32—23no—
1097C2×C32—23no—
1098C2×C32—23no—
1099C2×C32—33no—
1100C2×C32—33no—
1101C2×C32—33no—
1102C2×C32—33no—
1103C2×C32—43no—
1104C2×C32—43no—
1105C2×C32—43no—
1106C2×C32—43no—
1107C2×C32—63no—
1108C2×C32—63no—
1109C2×C32—63no—
1110C2×C32—63no—
1111C2×C32—63no—
1112C2×C32—63no—
1113C2×C32—63no—
1114C2×C32—63no—
1115C2×C32—63no—
1116C2×C32—63no—
1117C2×C32—63no—
1118C2×C32—66no—
1119C2×C32—63no—
1120C2×C32—63no—
1121C2×C32—63no—
1122C2×C32—63no—
1123C2×C32—63no—
1124C2×C32—63no—
1125C2×C32—63no—
1126C2×C32—63no—
1127C2×C32—63no—
1128C2×C32—63no—
1129C2×C32—63no—
1130C2×C32—63no—
1131C2×C32—63no—
1132C2×C32—63no—
1133C2×C32—63no—
1134C2×C32—63no—
1135C2×C32—123no—
1136C2×C32—123no—
1137C2×C32—123no—
1138C2×C32—123no—
1139C2×C32—123no—
1140C2×C32—123no—
1141C2×C32—123no—
1142C2×C32—123no—
1143C2×C32—123no—
1144C2×C32—123no—
1145C2×C32—123no—
1146C2×C32—123no—
1147C2×C32—123no—
1148C2×C32—123no—
1149C2×C32—123no—
1150C2×C32—123no—
1151C2×C32—123no—
1152C2×C32—126no—
1153C2×C32—123no—
1154C2×C32—123no—
1155C2×C32—123no—
1156C2×C32—123no—
1157C2×C32—123no—
1158C2×C32—123no—
1159C2×C32—123no—
1160C2×C32—123no—
1161C2×C32—123no—
1162C2×C32—123no—
1163C2×C32—274no—
1164C2×C32—274no—
1165C2×C32C2×((C3⋊D3)⋊C3)⋊C213yescomplemented
1166C2×C32C2×((C3⋊D3)⋊C3)⋊C213yescomplemented
1167C2×C32C2×((C3⋊D3)⋊C3)⋊C213yescomplemented
1168C2×C32C2×D3×C3⋊D313yes—
1169C2×C32C2×D3×C3⋊D313yescomplemented
1170C2×C32C2×#111313yes—
1171C2×C32C2×#111313yescomplemented
1172C2×C32C2×#111313yescomplemented
1173C2×C32C2×#111313yescomplemented
1174C3⋊D3—34no—
1175C3⋊D3—34no—
1176C3⋊D3—34no—
1177C3⋊D3—34no—
1178C3⋊D3—64no—
1179C3⋊D3—64no—
1180C3⋊D3—94no—
1181C3⋊D3—94no—
1182C3⋊D3—94no—
1183C3⋊D3—94no—
1184C3⋊D3—94no—
1185C3⋊D3—94no—
1186C3⋊D3—94no—
1187C3⋊D3—94no—
1188C3⋊D3—94no—
1189C3⋊D3—184no—
1190C3⋊D3—184no—
1191C3⋊D3—184no—
1192C3⋊D3—184no—
1193C3⋊D3—184no—
1194C3⋊D3—184no—
1195C3⋊D3—184no—
1196C3⋊D3—184no—
1197C3⋊D3—184no—
1198C3⋊D3—274no—
1199C3⋊D3—274no—
1200C3⋊D3—274no—
1201C3⋊D3—544no—
1202C3⋊D3—544no—
1203C3⋊D3—544no—
1204C3⋊D3—544no—
1205C3⋊D3—544no—
1206C3⋊D3—544no—
1207C3⋊D3—544no—
1208C3⋊D3—544no—
1209C3⋊D3—544no—
1210C3⋊D3—544no—
1211C3⋊D3—544no—
1212C3⋊D3—544no—
1213C3⋊D3—544no—
1214C3⋊D3—544no—
1215C3⋊D3—544no—
1216C3⋊D3—544no—
1217C3⋊D3—544no—
1218C3⋊D3—544no—
1219C3⋊D3—548no—
1220C3×D3—94no—
1221C3×D3—94no—
1222C3×D3—94no—
1223C3×D3—94no—
1224C3×D3—94no—
1225C3×D3—94no—
1226C3×D3—94no—
1227C3×D3—94no—
1228C3×D3—94no—
1229C3×D3—94no—
1230C3×D3—94no—
1231C3×D3—94no—
1232C3×D3—94no—
1233C3×D3—94no—
1234C3×D3—94no—
1235C3×D3—94no—
1236C3×D3—94no—
1237C3×D3—94no—
1238C3×D3—94no—
1239C3×D3—94no—
1240C3×D3—94no—
1241C3×D3—94no—
1242C3×D3—94no—
1243C3×D3—94no—
1244C3×D3—94no—
1245C3×D3—94no—
1246C3×D3—94no—
1247C3×D3—94no—
1248C3×D3—94no—
1249C3×D3—94no—
1250C3×D3—94no—
1251C3×D3—94no—
1252C3×D3—94no—
1253C3×D3—94no—
1254C3×D3—94no—
1255C3×D3—94no—
1256C3×D3—184no—
1257C3×D3—184no—
1258C3×D3—184no—
1259C3×D3—184no—
1260C3×D3—184no—
1261C3×D3—184no—
1262C3×D3—184no—
1263C3×D3—184no—
1264C3×D3—184no—
1265C3×D3—184no—
1266C3×D3—184no—
1267C3×D3—184no—
1268C3×D3—184no—
1269C3×D3—184no—
1270C3×D3—184no—
1271C3×D3—184no—
1272C3×D3—274no—
1273C3×D3—274no—
1274C3×D3—274no—
1275C3×D3—274no—
1276C3×D3—274no—
1277C3×D3—544no—
1278C3×D3—544no—
1279C3×D3—544no—
1280C3×D3—544no—
1281C3×D3—544no—
1282C3×D3—544no—
1283C24—2431noSylow
1284C22×C3—21no—
1285C22×C3—21no—
1286C22×C3—21no—
1287C22×C3—21no—
1288C22×C3—31no—
1289C22×C3—31no—
1290C22×C3—61no—
1291C22×C3—61no—
1292C22×C3—61no—
1293C22×C3—61no—
1294C22×C3—61no—
1295C22×C3—61no—
1296C22×C3—61no—
1297C22×C3—121no—
1298C22×C3—121no—
1299C22×C3—121no—
1300C22×C3—121no—
1301C22×C3—121no—
1302C22×C3—121no—
1303C22×C3—121no—
1304C22×C3—276no—
1305C22×C3—276no—
1306C22×C3—276no—
1307C22×C3—276no—
1308C22×C3—276no—
1309C22×C3—276no—
1310C22×C3—276no—
1311C22×C3—276no—
1312C22×C3—816no—
1313C22×C3((C3⋊D3)⋊C3)⋊D311yescharacteristic, complemented
1314C22×C3((C3⋊D3)⋊C3)⋊D311yescharacteristic, complemented
1315C22×C3((C3⋊D3)⋊C3)⋊D311yescharacteristic, complemented
1316C22×C3#6643211yescharacteristic, complemented
1317C22×C3C3⋊#111311yescharacteristic
1318C2×D3—96no—
1319C2×D3—96no—
1320C2×D3—96no—
1321C2×D3—96no—
1322C2×D3—96no—
1323C2×D3—96no—
1324C2×D3—96no—
1325C2×D3—96no—
1326C2×D3—96no—
1327C2×D3—186no—
1328C2×D3—186no—
1329C2×D3—186no—
1330C2×D3—186no—
1331C2×D3—276no—
1332C2×D3—276no—
1333C2×D3—276no—
1334C2×D3—276no—
1335C2×D3—276no—
1336C2×D3—276no—
1337C2×D3—546no—
1338C2×D3—546no—
1339C2×D3—546no—
1340C2×D3—546no—
1341C2×D3—546no—
1342C2×D3—816no—
1343C2×D3—8116no—
1344C2×D3—8116no—
1345C2×D3—8116no—
1346C2×D3—8116no—
1347C2×D3—8116no—
1348C2×D3—8116no—
1349C2×D3—8116no—
1350C2×D3—8116no—
1351C2×D3—8116no—
1352C2×D3—1626no—
1353C2×D3—1626no—
1354C2×D3—1626no—
1355C2×D3—1626no—
1356C2×D3—1626no—
1357C32—21no—
1358C32—21no—
1359C32—21no—
1360C32—21no—
1361C32—21no—
1362C32—21no—
1363C32—21no—
1364C32—21no—
1365C32—21no—
1366C32—21no—
1367C32—21no—
1368C32—21no—
1369C32—31no—
1370C32—31no—
1371C32—31no—
1372C32—31no—
1373C32—41no—
1374C32—41no—
1375C32—41no—
1376C32—41no—
1377C32—61no—
1378C32—61no—
1379C32—61no—
1380C32—61no—
1381C32—61no—
1382C32—61no—
1383C32—61no—
1384C32—62no—
1385C32—61no—
1386C32—61no—
1387C32—61no—
1388C32—61no—
1389C32—61no—
1390C32—61no—
1391C32—61no—
1392C32—61no—
1393C32—61no—
1394C32—61no—
1395C32—61no—
1396C32—61no—
1397C32—61no—
1398C32—61no—
1399C32—61no—
1400C32—61no—
1401C32—61no—
1402C32—61no—
1403C32—61no—
1404C32—61no—
1405C32—121no—
1406C32—121no—
1407C32—121no—
1408C32—121no—
1409C32—121no—
1410C32—121no—
1411C32—121no—
1412C32—121no—
1413C32—121no—
1414C32—121no—
1415C32—121no—
1416C32—121no—
1417C32—121no—
1418C32—121no—
1419C32—121no—
1420C32—122no—
1421C32—121no—
1422C32—121no—
1423C32—121no—
1424C32—121no—
1425C32—121no—
1426C32—121no—
1427C32—121no—
1428C32—121no—
1429C32—121no—
1430C32—121no—
1431C32—121no—
1432C32—121no—
1433C32C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
1434C32C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
1435C32C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
1436C32C22×D3×C3⋊D311yescharacteristic
1437C32C22×D3×C3⋊D311yescharacteristic, complemented
1438C32C22×#111311yescharacteristic
1439C32C22×#111311yescharacteristic, complemented
1440C32C22×#111311yescharacteristic, complemented
1441C32C22×#111311yescharacteristic, complemented
1442C23—271no—
1443C23—271no—
1444C23—811no—
1445C23—24312no—
1446C2×C3—23no—
1447C2×C3—23no—
1448C2×C3—23no—
1449C2×C3—23no—
1450C2×C3—33no—
1451C2×C3—33no—
1452C2×C3—63no—
1453C2×C3—63no—
1454C2×C3—63no—
1455C2×C3—63no—
1456C2×C3—63no—
1457C2×C3—63no—
1458C2×C3—63no—
1459C2×C3—123no—
1460C2×C3—123no—
1461C2×C3—123no—
1462C2×C3—123no—
1463C2×C3—123no—
1464C2×C3—123no—
1465C2×C3—123no—
1466C2×C3—274no—
1467C2×C3—274no—
1468C2×C3—274no—
1469C2×C3—274no—
1470C2×C3—274no—
1471C2×C3—274no—
1472C2×C3—274no—
1473C2×C3—274no—
1474C2×C3—814no—
1475C2×C3C2×((C3⋊D3)⋊C3)⋊D313yescomplemented
1476C2×C3C2×((C3⋊D3)⋊C3)⋊D313yescomplemented
1477C2×C3C2×((C3⋊D3)⋊C3)⋊D313yescomplemented
1478C2×C3C2×#6643213yescomplemented
1479C2×C3C2×C3⋊#111313yes—
1480D3—94no—
1481D3—94no—
1482D3—94no—
1483D3—94no—
1484D3—94no—
1485D3—94no—
1486D3—94no—
1487D3—94no—
1488D3—94no—
1489D3—184no—
1490D3—184no—
1491D3—184no—
1492D3—184no—
1493D3—274no—
1494D3—274no—
1495D3—274no—
1496D3—274no—
1497D3—274no—
1498D3—274no—
1499D3—544no—
1500D3—544no—
1501D3—544no—
1502D3—544no—
1503D3—544no—
1504D3—814no—
1505D3—1624no—
1506D3—1624no—
1507D3—1624no—
1508D3—1624no—
1509D3—1624no—
1510C22—276no—
1511C22—276no—
1512C22—816no—
1513C22—24316no—
1514C22#1175809011yescharacteristic, direct product factor
1515C3—21no—
1516C3—21no—
1517C3—21no—
1518C3—21no—
1519C3—31no—
1520C3—31no—
1521C3—61no—
1522C3—61no—
1523C3—61no—
1524C3—61no—
1525C3—61no—
1526C3—61no—
1527C3—61no—
1528C3—121no—
1529C3—121no—
1530C3—121no—
1531C3—121no—
1532C3—121no—
1533C3—121no—
1534C3—121no—
1535C3C22×((C3⋊D3)⋊C3)⋊D311yescharacteristic, complemented
1536C3C22×((C3⋊D3)⋊C3)⋊D311yescharacteristic, complemented
1537C3C22×((C3⋊D3)⋊C3)⋊D311yescharacteristic, complemented
1538C3C22×#6643211yescharacteristic, complemented
1539C3C22×C3⋊#111311yescharacteristic
1540C2—274no—
1541C2—274no—
1542C2—814no—
1543C2C2×#1175809013yesdirect product factor
subgroupG/H
center, hypercenterC22#11758090
commutator, cosocle, hypocenterC32×H(3,𝔽3)C24
FrattiniC3C22×C3⋊#1113
FittingC22×C32×H(3,𝔽3)C22
socleC22×C33D32
LCSG ▷ C32×H(3,𝔽3)
UCSC1 ◁ C22

Complements

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

NH ≅ G/Ntype
1. C22×C3×C3⋊#272C2semidirect
2. C22×C3⋊(C3⋊((C3⋊D3)⋊C3))C2semidirect
3. C22×C3×C3⋊((C3⋊D3)⋊C3)C2semidirect
4. C2×#11758090C2direct (N × H)
11. C22×C32×H(3,𝔽3)C22semidirect
12. C2×C3×C3⋊#272C22semidirect
13. C2×C3⋊(C3⋊((C3⋊D3)⋊C3))C22semidirect
14. C2×C3×C3⋊((C3⋊D3)⋊C3)C22semidirect
15. #11758090C22direct (N × H)
16. C22×C3⋊(C3⋊(C3⋊D3))D3semidirect
18. C22×C3×C3⋊(C3⋊D3)D3semidirect
25. C22×C3⋊#272D3semidirect
40. C22×C3⋊((C3⋊D3)⋊C3)D3semidirect
41. C22×C3⋊((C3⋊D3)⋊C3)D3semidirect
42. C22×C3⋊((C3⋊D3)⋊C3)D3semidirect
49. C2×C32×H(3,𝔽3)C23semidirect
50. C3×C3⋊#272C23semidirect
51. C3⋊(C3⋊((C3⋊D3)⋊C3))C23semidirect
52. C3×C3⋊((C3⋊D3)⋊C3)C23semidirect
70. C22×C34C2×D3semidirect
71. C22×C34C2×D3semidirect
72. C2×C3⋊(C3⋊(C3⋊D3))C2×D3semidirect
74. C2×C3×C3⋊(C3⋊D3)C2×D3semidirect
93. C22×C3×H(3,𝔽3)C2×D3semidirect
94. C22×C3×H(3,𝔽3)C2×D3semidirect
95. C22×C3×H(3,𝔽3)C2×D3semidirect
96. C22×C3×H(3,𝔽3)C2×D3semidirect
97. C2×C3⋊#272C2×D3semidirect
112. C2×C3⋊((C3⋊D3)⋊C3)C2×D3semidirect
113. C2×C3⋊((C3⋊D3)⋊C3)C2×D3semidirect
114. C2×C3⋊((C3⋊D3)⋊C3)C2×D3semidirect
121. C32×H(3,𝔽3)C24semidirect
137. C22×C3⋊(C3⋊D3)C3⋊D3semidirect
216. C2×C34C22×D3semidirect
217. C2×C34C22×D3semidirect
218. C3⋊(C3⋊(C3⋊D3))C22×D3semidirect
220. C3×C3⋊(C3⋊D3)C22×D3semidirect
237. C2×C3×H(3,𝔽3)C22×D3semidirect
238. C2×C3×H(3,𝔽3)C22×D3semidirect
239. C2×C3×H(3,𝔽3)C22×D3semidirect
240. C2×C3×H(3,𝔽3)C22×D3semidirect
241. C3⋊#272C22×D3semidirect
256. C3⋊((C3⋊D3)⋊C3)C22×D3semidirect
257. C3⋊((C3⋊D3)⋊C3)C22×D3semidirect
258. C3⋊((C3⋊D3)⋊C3)C22×D3semidirect
319. C22×C33D32semidirect
320. C22×C33D32semidirect
321. C22×C33D32semidirect
322. C22×C33D32semidirect
323. C22×C33D32semidirect
324. C22×C33C2×C3⋊D3semidirect
340. C2×C3⋊(C3⋊D3)C2×C3⋊D3semidirect
421. C22×H(3,𝔽3)D32semidirect
422. C22×H(3,𝔽3)D32semidirect
423. C22×H(3,𝔽3)D32semidirect
446. C34C23×D3semidirect
447. C34C23×D3semidirect
460. C3×H(3,𝔽3)C23×D3semidirect
461. C3×H(3,𝔽3)C23×D3semidirect
462. C3×H(3,𝔽3)C23×D3semidirect
463. C3×H(3,𝔽3)C23×D3semidirect
633. C2×C33C2×D32semidirect
634. C2×C33C2×D32semidirect
635. C2×C33C2×D32semidirect
636. C2×C33C2×D32semidirect
637. C2×C33C2×D32semidirect
638. C2×C33C22×C3⋊D3semidirect
654. C3⋊(C3⋊D3)C22×C3⋊D3semidirect
722. C2×H(3,𝔽3)C2×D32semidirect
723. C2×H(3,𝔽3)C2×D32semidirect
724. C2×H(3,𝔽3)C2×D32semidirect
830. C22×C32((C3⋊D3)⋊C3)⋊C2semidirect
831. C22×C32((C3⋊D3)⋊C3)⋊C2semidirect
832. C22×C32((C3⋊D3)⋊C3)⋊C2semidirect
834. C22×C32D3×C3⋊D3semidirect
836. C22×C32#1113semidirect
837. C22×C32#1113semidirect
838. C22×C32#1113semidirect
1006. C33C22×D32semidirect
1007. C33C22×D32semidirect
1008. C33C22×D32semidirect
1009. C33C22×D32semidirect
1010. C33C22×D32semidirect
1011. C33C23×C3⋊D3semidirect
1036. H(3,𝔽3)C22×D32semidirect
1037. H(3,𝔽3)C22×D32semidirect
1038. H(3,𝔽3)C22×D32semidirect
1165. C2×C32C2×((C3⋊D3)⋊C3)⋊C2semidirect
1166. C2×C32C2×((C3⋊D3)⋊C3)⋊C2semidirect
1167. C2×C32C2×((C3⋊D3)⋊C3)⋊C2semidirect
1169. C2×C32C2×D3×C3⋊D3semidirect
1171. C2×C32C2×#1113semidirect
1172. C2×C32C2×#1113semidirect
1173. C2×C32C2×#1113semidirect
1313. C22×C3((C3⋊D3)⋊C3)⋊D3semidirect
1314. C22×C3((C3⋊D3)⋊C3)⋊D3semidirect
1315. C22×C3((C3⋊D3)⋊C3)⋊D3semidirect
1316. C22×C3#66432semidirect
1433. C32C22×((C3⋊D3)⋊C3)⋊C2semidirect
1434. C32C22×((C3⋊D3)⋊C3)⋊C2semidirect
1435. C32C22×((C3⋊D3)⋊C3)⋊C2semidirect
1437. C32C22×D3×C3⋊D3semidirect
1439. C32C22×#1113semidirect
1440. C32C22×#1113semidirect
1441. C32C22×#1113semidirect
1475. C2×C3C2×((C3⋊D3)⋊C3)⋊D3semidirect
1476. C2×C3C2×((C3⋊D3)⋊C3)⋊D3semidirect
1477. C2×C3C2×((C3⋊D3)⋊C3)⋊D3semidirect
1478. C2×C3C2×#66432semidirect
1514. C22#11758090direct (N × H)
1535. C3C22×((C3⋊D3)⋊C3)⋊D3semidirect
1536. C3C22×((C3⋊D3)⋊C3)⋊D3semidirect
1537. C3C22×((C3⋊D3)⋊C3)⋊D3semidirect
1538. C3C22×#66432semidirect
1543. C2C2×#11758090direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×C3⋊#2722
C22×C3⋊(C3⋊((C3⋊D3)⋊C3))2
C22×C3×C3⋊((C3⋊D3)⋊C3)2
C2×#117580902
C22×C3⋊#11133
C22×C3⋊D323
C22×#664323
C22×((C3⋊D3)⋊C3)⋊D33