Finite Group Databasebeta

← C2×#13091646 #72244448

Subgroups — C2×#13091646 #72244448

Order 2916.

1547 conjugacy classes of subgroups.

The subgroup lattice has 1300 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13091646C212yesmaximal, direct product factor
2C2×#10624930C211yesmaximal, characteristic, complemented
3C2×#92404C311yesmaximal, characteristic, complemented
4C2×C3×C3⋊#272—31nomaximal
5C2×C3⋊#4174—31nomaximal
6C2×C3⋊#4174—31nomaximal
7C2×C3⋊#4174—31nomaximal
8C2×C3⋊#4174—31nomaximal
9C2×C3⋊#4174—31nomaximal
10C2×C3⋊#4174—31nomaximal
11C2×C3⋊#4174—31nomaximal
12C2×C3⋊#4174—31nomaximal
13C2×C3⋊#4174—31nomaximal
14C2×C3⋊#4174—31nomaximal
15C2×C3⋊#4174—31nomaximal
16C2×C3⋊#4174—31nomaximal
17#10624930C2211yescharacteristic, complemented, Sylow
18C2×3−1+4—21no—
19C2×H(5,𝔽3)C2×C311yescharacteristic, complemented
20C2×C32×H(3,𝔽3)D311yescharacteristic, complemented
21#92404C2×C312yescomplemented
22C3×C3⋊#272—32no—
23C2×#6909—21no—
24C2×#6909—21no—
25C2×#6909—21no—
26C2×#6909—21no—
27C2×#6909—21no—
28C2×#6909—21no—
29C2×#6909—21no—
30C2×#6909—21no—
31C2×#6909—21no—
32C2×#6909—21no—
33C2×#6909—21no—
34C2×#6909—21no—
35C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
36C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
37C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
38C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
39C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
40C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
41C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
42C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
43C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
44C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
45C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
46C2×C3×AΣL(1,𝔽27)D311yescharacteristic, complemented
47C3⋊#4174—32no—
48C3⋊#4174—32no—
49C3⋊#4174—32no—
50C3⋊#4174—32no—
51C3⋊#4174—32no—
52C3⋊#4174—32no—
53C3⋊#4174—32no—
54C3⋊#4174—32no—
55C3⋊#4174—32no—
56C3⋊#4174—32no—
57C3⋊#4174—32no—
58C3⋊#4174—32no—
59C2×C32×C3⋊D3—91no—
60C2×C32×C3⋊D3—91no—
61C2×C32×C3⋊D3—91no—
62C2×C32×C3⋊D3—91no—
63C2×C3⋊#272—31no—
64C2×C3⋊#272—31no—
65C2×C3⋊#272—31no—
66C2×C3⋊#272—31no—
67C2×C3⋊#272—31no—
68C2×C3⋊#272—31no—
69C2×C3⋊#272—31no—
70C2×C3⋊#272—31no—
71C2×C3⋊#272—31no—
72C2×C3⋊#272—31no—
73C2×C3⋊#272—31no—
74C2×C3⋊#272—31no—
75C2×C3⋊#272—31no—
76C2×C3⋊#272—91no—
77C2×C3⋊#272—91no—
78C2×C3⋊#272—91no—
79C2×C3⋊#272—91no—
80C2×C3⋊#272—91no—
81C2×C3⋊#272—91no—
82C2×C3⋊#272—91no—
83C2×C3⋊#272—91no—
84C2×C3⋊#272—91no—
85C2×C3×#272—91no—
86C2×C3×#272—91no—
87C2×C3×#272—91no—
88C2×C3×#272—91no—
89C2×C3×#272—91no—
90C2×C3×#272—91no—
91C2×C3×#272—91no—
92C2×C3×#272—91no—
93C2×C3×#272—91no—
94C2×#4174—91no—
95C2×#4174—91no—
96C2×#4174—91no—
97C2×#4174—91no—
98C2×#4174—91no—
99C2×#4174—91no—
100C2×#4174—91no—
101C2×#4174—91no—
102C2×#4174—91no—
1033−1+4—21no—
104H(5,𝔽3)C22×C311yescharacteristic, complemented
105C32×H(3,𝔽3)C2×D311yescharacteristic, complemented
106#6909—21no—
107#6909—21no—
108#6909—21no—
109#6909—21no—
110#6909—21no—
111#6909—21no—
112#6909—21no—
113#6909—21no—
114#6909—21no—
115#6909—21no—
116#6909—21no—
117#6909—21no—
118C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
119C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
120C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
121C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
122C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
123C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
124C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
125C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
126C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
127C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
128C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
129C3×AΣL(1,𝔽27)C2×D311yescharacteristic, complemented
130C2×C34C3⋊D311yescharacteristic, complemented
131C2×C34C3⋊D311yescharacteristic, complemented
132C2×C34C3⋊D311yescharacteristic, complemented
133C2×C34C3⋊D311yescharacteristic, complemented
134C32×C3⋊D3—92no—
135C32×C3⋊D3—92no—
136C32×C3⋊D3—92no—
137C32×C3⋊D3—92no—
138C2×#737—61no—
139C2×#737—61no—
140C2×#737—61no—
141C2×#737—61no—
142C2×#737—61no—
143C2×#737—61no—
144C2×#737—61no—
145C2×#737—61no—
146C2×#737—61no—
147C2×C3×3−1+2—21no—
148C2×C3×3−1+2—21no—
149C2×C3×3−1+2—21no—
150C2×C3×3−1+2—21no—
151C2×C3×3−1+2—21no—
152C2×C3×3−1+2—21no—
153C2×C3×3−1+2—21no—
154C2×C3×3−1+2—21no—
155C2×C3×3−1+2—21no—
156C2×C3×3−1+2—21no—
157C2×C3×3−1+2—21no—
158C2×C3×3−1+2—21no—
159C2×C3×H(3,𝔽3)—21no—
160C2×C3×H(3,𝔽3)—21no—
161C2×C3×H(3,𝔽3)—21no—
162C2×C3×H(3,𝔽3)—21no—
163C2×C3×H(3,𝔽3)—31no—
164C2×C3×H(3,𝔽3)—31no—
165C2×C3×H(3,𝔽3)—31no—
166C2×C3×H(3,𝔽3)—31no—
167C2×C3×H(3,𝔽3)—31no—
168C2×C3×H(3,𝔽3)—31no—
169C2×C3×H(3,𝔽3)—31no—
170C2×C3×H(3,𝔽3)—31no—
171C2×C3×H(3,𝔽3)—31no—
172C2×C3×H(3,𝔽3)—31no—
173C2×C3×H(3,𝔽3)—31no—
174C2×C3×H(3,𝔽3)—31no—
175C2×C3×H(3,𝔽3)—31no—
176C2×C3×H(3,𝔽3)—31no—
177C2×C3×H(3,𝔽3)—61no—
178C2×C3×H(3,𝔽3)—61no—
179C2×C3×H(3,𝔽3)—61no—
180C2×C3×H(3,𝔽3)—61no—
181C2×C3×H(3,𝔽3)C3×D311yescharacteristic
182C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
183C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
184C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
185C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
186C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
187C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
188C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
189C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
190C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
191C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
192C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
193C2×C3×H(3,𝔽3)C3×D311yescharacteristic, complemented
194C3⋊#272—32no—
195C3⋊#272—32no—
196C3⋊#272—32no—
197C3⋊#272—32no—
198C3⋊#272—32no—
199C3⋊#272—32no—
200C3⋊#272—32no—
201C3⋊#272—32no—
202C3⋊#272—32no—
203C3⋊#272—32no—
204C3⋊#272—32no—
205C3⋊#272—32no—
206C3⋊#272—32no—
207C3⋊#272—92no—
208C3⋊#272—92no—
209C3⋊#272—92no—
210C3⋊#272—92no—
211C3⋊#272—92no—
212C3⋊#272—92no—
213C3⋊#272—92no—
214C3⋊#272—92no—
215C3⋊#272—92no—
216C3×#272—92no—
217C3×#272—92no—
218C3×#272—92no—
219C3×#272—92no—
220C3×#272—92no—
221C3×#272—92no—
222C3×#272—92no—
223C3×#272—92no—
224C3×#272—92no—
225C2×AΣL(1,𝔽27)—21no—
226C2×AΣL(1,𝔽27)—21no—
227C2×AΣL(1,𝔽27)—21no—
228C2×AΣL(1,𝔽27)—21no—
229C2×AΣL(1,𝔽27)—21no—
230C2×AΣL(1,𝔽27)—21no—
231C2×AΣL(1,𝔽27)—21no—
232C2×AΣL(1,𝔽27)—21no—
233C2×AΣL(1,𝔽27)—21no—
234C2×AΣL(1,𝔽27)—21no—
235C2×AΣL(1,𝔽27)—21no—
236C2×AΣL(1,𝔽27)—21no—
237C2×AΣL(1,𝔽27)—21no—
238C2×AΣL(1,𝔽27)—21no—
239C2×AΣL(1,𝔽27)—21no—
240C2×AΣL(1,𝔽27)—21no—
241C2×AΣL(1,𝔽27)—21no—
242C2×AΣL(1,𝔽27)—21no—
243C2×AΣL(1,𝔽27)—21no—
244C2×AΣL(1,𝔽27)—21no—
245C2×AΣL(1,𝔽27)—21no—
246C2×AΣL(1,𝔽27)—21no—
247C2×AΣL(1,𝔽27)—21no—
248C2×AΣL(1,𝔽27)—21no—
249C2×AΣL(1,𝔽27)—21no—
250C2×AΣL(1,𝔽27)—21no—
251C2×AΣL(1,𝔽27)—21no—
252C2×AΣL(1,𝔽27)—21no—
253C2×AΣL(1,𝔽27)—21no—
254C2×AΣL(1,𝔽27)—21no—
255C2×AΣL(1,𝔽27)—21no—
256C2×AΣL(1,𝔽27)—21no—
257C2×AΣL(1,𝔽27)—21no—
258C2×AΣL(1,𝔽27)—21no—
259C2×AΣL(1,𝔽27)—21no—
260C2×AΣL(1,𝔽27)—21no—
261C2×AΣL(1,𝔽27)C3⋊D311yescharacteristic, complemented
262C2×AΣL(1,𝔽27)C3⋊D311yescharacteristic, complemented
263C2×AΣL(1,𝔽27)C3⋊D311yescharacteristic, complemented
264C2×AΣL(1,𝔽27)C3⋊D311yescharacteristic, complemented
265C2×AΣL(1,𝔽27)C3⋊D311yescharacteristic, complemented
266C2×AΣL(1,𝔽27)C3⋊D311yescharacteristic, complemented
267C2×AΣL(1,𝔽27)C3⋊D311yescharacteristic, complemented
268C2×AΣL(1,𝔽27)C3⋊D311yescharacteristic, complemented
269C2×AΣL(1,𝔽27)C3⋊D311yescharacteristic, complemented
270#4174—92no—
271#4174—92no—
272#4174—92no—
273#4174—92no—
274#4174—92no—
275#4174—92no—
276#4174—92no—
277#4174—92no—
278#4174—92no—
279C2×C3×C3⋊D3—91no—
280C2×C3×C3⋊D3—91no—
281C2×C3×C3⋊D3—91no—
282C2×C3×C3⋊D3—91no—
283C2×C3×C3⋊D3—91no—
284C2×C3×C3⋊D3—91no—
285C2×C3×C3⋊D3—91no—
286C2×C3×C3⋊D3—91no—
287C2×C3×C3⋊D3—91no—
288C2×C3×C3⋊D3—91no—
289C2×C3×C3⋊D3—91no—
290C2×C3×C3⋊D3—91no—
291C2×C3×C3⋊D3—91no—
292C2×C3×C3⋊D3—91no—
293C2×C3×C3⋊D3—91no—
294C2×C3×C3⋊D3—91no—
295C2×C3×C3⋊D3—271no—
296C2×C3×C3⋊D3—271no—
297C2×C3×C3⋊D3—271no—
298C2×C3×C3⋊D3—271no—
299C2×C3×C3⋊D3—271no—
300C2×C3×C3⋊D3—271no—
301C2×C3×C3⋊D3—271no—
302C2×C3×C3⋊D3—271no—
303C2×C3×C3⋊D3—271no—
304C2×C3×C3⋊D3—271no—
305C2×C3×C3⋊D3—271no—
306C2×C3×C3⋊D3—271no—
307C2×C32×D3—271no—
308C2×C32×D3—271no—
309C2×C32×D3—271no—
310C2×C32×D3—271no—
311C2×C32×D3—271no—
312C2×C32×D3—271no—
313C2×C32×D3—271no—
314C2×C32×D3—271no—
315C2×C32×D3—271no—
316C2×C32×D3—271no—
317C2×C32×D3—271no—
318C2×C32×D3—271no—
319C2×C32×D3—271no—
320C2×#272—91no—
321C2×#272—91no—
322C2×#272—91no—
323C2×#272—91no—
324C2×#272—91no—
325C2×#272—91no—
326C2×#272—91no—
327C2×#272—91no—
328C2×#272—91no—
329C2×#272—91no—
330C2×#272—91no—
331C2×#272—91no—
332C2×#272—91no—
333C2×#272—91no—
334C2×#272—91no—
335C2×#272—91no—
336C2×#272—91no—
337C2×#272—91no—
338C2×#272—271no—
339C2×#272—271no—
340C2×#272—271no—
341C2×#272—271no—
342C2×#272—271no—
343C2×#272—271no—
344C2×#272—271no—
345C2×#272—271no—
346C2×#272—271no—
347C2×#272—271no—
348C2×#272—271no—
349C2×#272—271no—
350C2×#272—271no—
351C2×#272—271no—
352C2×#272—271no—
353C2×#272—271no—
354C2×#272—271no—
355C2×#272—271no—
356C2×#272—271no—
357C2×#272—271no—
358C2×#272—271no—
359C2×#272—271no—
360C2×#272—271no—
361C2×#272—271no—
362C34C2×C3⋊D311yescharacteristic, complemented
363C34C2×C3⋊D311yescharacteristic, complemented
364C34C2×C3⋊D311yescharacteristic, complemented
365C34C2×C3⋊D311yescharacteristic, complemented
366#737—61no—
367#737—61no—
368#737—61no—
369#737—61no—
370#737—61no—
371#737—61no—
372#737—61no—
373#737—61no—
374#737—61no—
375C3×3−1+2—21no—
376C3×3−1+2—21no—
377C3×3−1+2—21no—
378C3×3−1+2—21no—
379C3×3−1+2—21no—
380C3×3−1+2—21no—
381C3×3−1+2—21no—
382C3×3−1+2—21no—
383C3×3−1+2—21no—
384C3×3−1+2—21no—
385C3×3−1+2—21no—
386C3×3−1+2—21no—
387C3×H(3,𝔽3)—21no—
388C3×H(3,𝔽3)—21no—
389C3×H(3,𝔽3)—21no—
390C3×H(3,𝔽3)—21no—
391C3×H(3,𝔽3)—31no—
392C3×H(3,𝔽3)—31no—
393C3×H(3,𝔽3)—31no—
394C3×H(3,𝔽3)—31no—
395C3×H(3,𝔽3)—31no—
396C3×H(3,𝔽3)—31no—
397C3×H(3,𝔽3)—31no—
398C3×H(3,𝔽3)—31no—
399C3×H(3,𝔽3)—31no—
400C3×H(3,𝔽3)—31no—
401C3×H(3,𝔽3)—31no—
402C3×H(3,𝔽3)—31no—
403C3×H(3,𝔽3)—31no—
404C3×H(3,𝔽3)—31no—
405C3×H(3,𝔽3)—61no—
406C3×H(3,𝔽3)—61no—
407C3×H(3,𝔽3)—61no—
408C3×H(3,𝔽3)—61no—
409C3×H(3,𝔽3)C2×C3×D311yescharacteristic
410C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
411C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
412C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
413C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
414C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
415C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
416C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
417C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
418C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
419C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
420C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
421C3×H(3,𝔽3)C2×C3×D311yescharacteristic, complemented
422AΣL(1,𝔽27)—21no—
423AΣL(1,𝔽27)—21no—
424AΣL(1,𝔽27)—21no—
425AΣL(1,𝔽27)—21no—
426AΣL(1,𝔽27)—21no—
427AΣL(1,𝔽27)—21no—
428AΣL(1,𝔽27)—21no—
429AΣL(1,𝔽27)—21no—
430AΣL(1,𝔽27)—21no—
431AΣL(1,𝔽27)—21no—
432AΣL(1,𝔽27)—21no—
433AΣL(1,𝔽27)—21no—
434AΣL(1,𝔽27)—21no—
435AΣL(1,𝔽27)—21no—
436AΣL(1,𝔽27)—21no—
437AΣL(1,𝔽27)—21no—
438AΣL(1,𝔽27)—21no—
439AΣL(1,𝔽27)—21no—
440AΣL(1,𝔽27)—21no—
441AΣL(1,𝔽27)—21no—
442AΣL(1,𝔽27)—21no—
443AΣL(1,𝔽27)—21no—
444AΣL(1,𝔽27)—21no—
445AΣL(1,𝔽27)—21no—
446AΣL(1,𝔽27)—21no—
447AΣL(1,𝔽27)—21no—
448AΣL(1,𝔽27)—21no—
449AΣL(1,𝔽27)—21no—
450AΣL(1,𝔽27)—21no—
451AΣL(1,𝔽27)—21no—
452AΣL(1,𝔽27)—21no—
453AΣL(1,𝔽27)—21no—
454AΣL(1,𝔽27)—21no—
455AΣL(1,𝔽27)—21no—
456AΣL(1,𝔽27)—21no—
457AΣL(1,𝔽27)—21no—
458AΣL(1,𝔽27)C2×C3⋊D311yescharacteristic, complemented
459AΣL(1,𝔽27)C2×C3⋊D311yescharacteristic, complemented
460AΣL(1,𝔽27)C2×C3⋊D311yescharacteristic, complemented
461AΣL(1,𝔽27)C2×C3⋊D311yescharacteristic, complemented
462AΣL(1,𝔽27)C2×C3⋊D311yescharacteristic, complemented
463AΣL(1,𝔽27)C2×C3⋊D311yescharacteristic, complemented
464AΣL(1,𝔽27)C2×C3⋊D311yescharacteristic, complemented
465AΣL(1,𝔽27)C2×C3⋊D311yescharacteristic, complemented
466AΣL(1,𝔽27)C2×C3⋊D311yescharacteristic, complemented
467C2×C33—21no—
468C2×C33—21no—
469C2×C33—21no—
470C2×C33—21no—
471C2×C33—31no—
472C2×C33—31no—
473C2×C33—31no—
474C2×C33—31no—
475C2×C33—31no—
476C2×C33—31no—
477C2×C33—31no—
478C2×C33—31no—
479C2×C33—31no—
480C2×C33—31no—
481C2×C33—31no—
482C2×C33—31no—
483C2×C33—31no—
484C2×C33—31no—
485C2×C33—31no—
486C2×C33—31no—
487C2×C33—31no—
488C2×C33—31no—
489C2×C33—31no—
490C2×C33—61no—
491C2×C33—61no—
492C2×C33—61no—
493C2×C33—61no—
494C2×C33—61no—
495C2×C33—91no—
496C2×C33—181no—
497C2×C33—181no—
498C2×C33—181no—
499C2×C33—181no—
500C2×C33—181no—
501C2×C33—181no—
502C2×C33—181no—
503C2×C33—181no—
504C2×C33—181no—
505C2×C33—181no—
506C2×C33—181no—
507C2×C33C3×C3⋊D311yescharacteristic
508C2×C33C3×C3⋊D311yescharacteristic
509C2×C33C3×C3⋊D311yescharacteristic
510C2×C33C3×C3⋊D311yescharacteristic
511C2×C33C3⋊(C3⋊D3)11yescharacteristic
512C3×C3⋊D3—92no—
513C3×C3⋊D3—92no—
514C3×C3⋊D3—92no—
515C3×C3⋊D3—92no—
516C3×C3⋊D3—92no—
517C3×C3⋊D3—92no—
518C3×C3⋊D3—92no—
519C3×C3⋊D3—92no—
520C3×C3⋊D3—92no—
521C3×C3⋊D3—92no—
522C3×C3⋊D3—92no—
523C3×C3⋊D3—92no—
524C3×C3⋊D3—92no—
525C3×C3⋊D3—92no—
526C3×C3⋊D3—92no—
527C3×C3⋊D3—92no—
528C3×C3⋊D3—272no—
529C3×C3⋊D3—272no—
530C3×C3⋊D3—272no—
531C3×C3⋊D3—272no—
532C3×C3⋊D3—272no—
533C3×C3⋊D3—272no—
534C3×C3⋊D3—272no—
535C3×C3⋊D3—272no—
536C3×C3⋊D3—272no—
537C3×C3⋊D3—272no—
538C3×C3⋊D3—272no—
539C3×C3⋊D3—272no—
540C32×D3—272no—
541C32×D3—272no—
542C32×D3—272no—
543C32×D3—272no—
544C32×D3—272no—
545C32×D3—272no—
546C32×D3—272no—
547C32×D3—272no—
548C32×D3—272no—
549C32×D3—272no—
550C32×D3—272no—
551C32×D3—272no—
552C32×D3—272no—
553C2×3−1+2—21no—
554C2×3−1+2—21no—
555C2×3−1+2—21no—
556C2×3−1+2—21no—
557C2×3−1+2—21no—
558C2×3−1+2—21no—
559C2×3−1+2—21no—
560C2×3−1+2—21no—
561C2×3−1+2—21no—
562C2×3−1+2—61no—
563C2×3−1+2—61no—
564C2×3−1+2—61no—
565C2×3−1+2—61no—
566C2×3−1+2—61no—
567C2×3−1+2—61no—
568C2×3−1+2—61no—
569C2×3−1+2—61no—
570C2×3−1+2—61no—
571C2×3−1+2—61no—
572C2×3−1+2—61no—
573C2×3−1+2—61no—
574C2×3−1+2—61no—
575C2×3−1+2—61no—
576C2×3−1+2—61no—
577C2×3−1+2—61no—
578C2×3−1+2—61no—
579C2×3−1+2—61no—
580C2×3−1+2—61no—
581C2×3−1+2—61no—
582C2×3−1+2—61no—
583C2×3−1+2—61no—
584C2×3−1+2—61no—
585C2×3−1+2—61no—
586C2×H(3,𝔽3)—31no—
587C2×H(3,𝔽3)—31no—
588C2×H(3,𝔽3)—31no—
589C2×H(3,𝔽3)—31no—
590C2×H(3,𝔽3)—31no—
591C2×H(3,𝔽3)—31no—
592C2×H(3,𝔽3)—31no—
593C2×H(3,𝔽3)—31no—
594C2×H(3,𝔽3)—31no—
595C2×H(3,𝔽3)—31no—
596C2×H(3,𝔽3)—31no—
597C2×H(3,𝔽3)—31no—
598C2×H(3,𝔽3)—31no—
599C2×H(3,𝔽3)—31no—
600C2×H(3,𝔽3)—31no—
601C2×H(3,𝔽3)—31no—
602C2×H(3,𝔽3)—31no—
603C2×H(3,𝔽3)—31no—
604C2×H(3,𝔽3)—31no—
605C2×H(3,𝔽3)—31no—
606C2×H(3,𝔽3)—31no—
607C2×H(3,𝔽3)—31no—
608C2×H(3,𝔽3)—31no—
609C2×H(3,𝔽3)—31no—
610C2×H(3,𝔽3)—61no—
611C2×H(3,𝔽3)—61no—
612C2×H(3,𝔽3)—61no—
613C2×H(3,𝔽3)—61no—
614C2×H(3,𝔽3)—61no—
615C2×H(3,𝔽3)—61no—
616C2×H(3,𝔽3)—61no—
617C2×H(3,𝔽3)—61no—
618C2×H(3,𝔽3)—61no—
619C2×H(3,𝔽3)—61no—
620C2×H(3,𝔽3)—61no—
621C2×H(3,𝔽3)—61no—
622C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
623C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
624C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
625C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
626C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
627C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
628C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
629C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
630C2×H(3,𝔽3)(C3⋊D3)⋊C311yescharacteristic
631C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
632C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
633C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
634C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
635C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
636C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
637C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
638C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
639C2×H(3,𝔽3)C3×C3⋊D311yescharacteristic
640C2×C3×C9—61no—
641C2×C3×C9—61no—
642C2×C3×C9—61no—
643C2×C3×C9—61no—
644C2×C3×C9—61no—
645C2×C3×C9—61no—
646C2×C3×C9—61no—
647C2×C3×C9—61no—
648C2×C3×C9—61no—
649C2×C3×C9—61no—
650C2×C3×C9—61no—
651C2×C3×C9—61no—
652#272—92no—
653#272—92no—
654#272—92no—
655#272—92no—
656#272—92no—
657#272—92no—
658#272—92no—
659#272—92no—
660#272—92no—
661#272—92no—
662#272—92no—
663#272—92no—
664#272—92no—
665#272—92no—
666#272—92no—
667#272—92no—
668#272—92no—
669#272—92no—
670#272—272no—
671#272—272no—
672#272—272no—
673#272—272no—
674#272—272no—
675#272—272no—
676#272—272no—
677#272—272no—
678#272—272no—
679#272—272no—
680#272—272no—
681#272—272no—
682#272—272no—
683#272—272no—
684#272—272no—
685#272—272no—
686#272—272no—
687#272—272no—
688#272—272no—
689#272—272no—
690#272—272no—
691#272—272no—
692#272—272no—
693#272—272no—
694C22×C32—811no—
695C2×C3⋊D3—91no—
696C2×C3⋊D3—91no—
697C2×C3⋊D3—91no—
698C2×C3⋊D3—91no—
699C2×C3⋊D3—271no—
700C2×C3⋊D3—271no—
701C2×C3⋊D3—271no—
702C2×C3⋊D3—271no—
703C2×C3⋊D3—271no—
704C2×C3⋊D3—271no—
705C2×C3⋊D3—271no—
706C2×C3⋊D3—271no—
707C2×C3⋊D3—271no—
708C2×C3⋊D3—271no—
709C2×C3⋊D3—271no—
710C2×C3⋊D3—271no—
711C2×C3×D3—271no—
712C2×C3×D3—271no—
713C2×C3×D3—271no—
714C2×C3×D3—271no—
715C2×C3×D3—271no—
716C2×C3×D3—271no—
717C2×C3×D3—271no—
718C2×C3×D3—271no—
719C2×C3×D3—271no—
720C2×C3×D3—271no—
721C2×C3×D3—271no—
722C2×C3×D3—271no—
723C2×C3×D3—271no—
724C2×C3×D3—271no—
725C2×C3×D3—271no—
726C2×C3×D3—271no—
727C2×C3×D3—271no—
728C2×C3×D3—271no—
729C2×C3×D3—271no—
730C2×C3×D3—271no—
731C2×C3×D3—271no—
732C2×C3×D3—271no—
733C2×C3×D3—271no—
734C2×C3×D3—271no—
735C2×C3×D3—271no—
736C2×C3×D3—271no—
737C2×C3×D3—271no—
738C2×C3×D3—271no—
739C2×C3×D3—271no—
740C2×C3×D3—271no—
741C2×C3×D3—271no—
742C2×C3×D3—271no—
743C2×C3×D3—271no—
744C2×C3×D3—271no—
745C2×C3×D3—271no—
746C2×C3×D3—271no—
747C2×C3×D3—271no—
748C2×C3×D3—271no—
749C2×C3×D3—271no—
750C2×C3×D3—271no—
751C2×C3×D3—271no—
752C2×C3×D3—271no—
753C2×C3×D3—271no—
754C2×C3×D3—271no—
755C2×C3×D3—271no—
756C2×C3×D3—271no—
757C2×C3×D3—271no—
758C2×C3×D3—271no—
759C2×C3×D3—271no—
760C2×C3×D3—271no—
761C2×C3×D3—271no—
762C2×C3×D3—271no—
763C2×C3×D3—811no—
764C2×C3×D3—811no—
765C2×C3×D3—811no—
766C2×C3×D3—811no—
767C2×C3×D3—811no—
768C2×C3×D3—811no—
769C2×C3×D3—811no—
770C2×C3×D3—811no—
771C2×C3×D3—811no—
772C33—21no—
773C33—21no—
774C33—21no—
775C33—21no—
776C33—31no—
777C33—31no—
778C33—31no—
779C33—31no—
780C33—31no—
781C33—31no—
782C33—31no—
783C33—31no—
784C33—31no—
785C33—31no—
786C33—31no—
787C33—31no—
788C33—31no—
789C33—31no—
790C33—31no—
791C33—31no—
792C33—31no—
793C33—31no—
794C33—31no—
795C33—61no—
796C33—61no—
797C33—61no—
798C33—61no—
799C33—61no—
800C33—91no—
801C33—181no—
802C33—181no—
803C33—181no—
804C33—181no—
805C33—181no—
806C33—181no—
807C33—181no—
808C33—181no—
809C33—181no—
810C33—181no—
811C33—181no—
812C33C2×C3×C3⋊D311yescharacteristic
813C33C2×C3×C3⋊D311yescharacteristic
814C33C2×C3×C3⋊D311yescharacteristic
815C33C2×C3×C3⋊D311yescharacteristic
816C33C2×C3⋊(C3⋊D3)11yescharacteristic
8173−1+2—21no—
8183−1+2—21no—
8193−1+2—21no—
8203−1+2—21no—
8213−1+2—21no—
8223−1+2—21no—
8233−1+2—21no—
8243−1+2—21no—
8253−1+2—21no—
8263−1+2—61no—
8273−1+2—61no—
8283−1+2—61no—
8293−1+2—61no—
8303−1+2—61no—
8313−1+2—61no—
8323−1+2—61no—
8333−1+2—61no—
8343−1+2—61no—
8353−1+2—61no—
8363−1+2—61no—
8373−1+2—61no—
8383−1+2—61no—
8393−1+2—61no—
8403−1+2—61no—
8413−1+2—61no—
8423−1+2—61no—
8433−1+2—61no—
8443−1+2—61no—
8453−1+2—61no—
8463−1+2—61no—
8473−1+2—61no—
8483−1+2—61no—
8493−1+2—61no—
850H(3,𝔽3)—31no—
851H(3,𝔽3)—31no—
852H(3,𝔽3)—31no—
853H(3,𝔽3)—31no—
854H(3,𝔽3)—31no—
855H(3,𝔽3)—31no—
856H(3,𝔽3)—31no—
857H(3,𝔽3)—31no—
858H(3,𝔽3)—31no—
859H(3,𝔽3)—31no—
860H(3,𝔽3)—31no—
861H(3,𝔽3)—31no—
862H(3,𝔽3)—31no—
863H(3,𝔽3)—31no—
864H(3,𝔽3)—31no—
865H(3,𝔽3)—31no—
866H(3,𝔽3)—31no—
867H(3,𝔽3)—31no—
868H(3,𝔽3)—31no—
869H(3,𝔽3)—31no—
870H(3,𝔽3)—31no—
871H(3,𝔽3)—31no—
872H(3,𝔽3)—31no—
873H(3,𝔽3)—31no—
874H(3,𝔽3)—61no—
875H(3,𝔽3)—61no—
876H(3,𝔽3)—61no—
877H(3,𝔽3)—61no—
878H(3,𝔽3)—61no—
879H(3,𝔽3)—61no—
880H(3,𝔽3)—61no—
881H(3,𝔽3)—61no—
882H(3,𝔽3)—61no—
883H(3,𝔽3)—61no—
884H(3,𝔽3)—61no—
885H(3,𝔽3)—61no—
886H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
887H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
888H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
889H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
890H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
891H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
892H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
893H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
894H(3,𝔽3)C2×(C3⋊D3)⋊C311yescharacteristic
895H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
896H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
897H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
898H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
899H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
900H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
901H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
902H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
903H(3,𝔽3)C2×C3×C3⋊D311yescharacteristic
904C3×C9—61no—
905C3×C9—61no—
906C3×C9—61no—
907C3×C9—61no—
908C3×C9—61no—
909C3×C9—61no—
910C3×C9—61no—
911C3×C9—61no—
912C3×C9—61no—
913C3×C9—61no—
914C3×C9—61no—
915C3×C9—61no—
916C2×C32—31no—
917C2×C32—31no—
918C2×C32—31no—
919C2×C32—31no—
920C2×C32—31no—
921C2×C32—31no—
922C2×C32—31no—
923C2×C32—31no—
924C2×C32—31no—
925C2×C32—31no—
926C2×C32—31no—
927C2×C32—61no—
928C2×C32—61no—
929C2×C32—61no—
930C2×C32—61no—
931C2×C32—61no—
932C2×C32—61no—
933C2×C32—91no—
934C2×C32—91no—
935C2×C32—91no—
936C2×C32—91no—
937C2×C32—181no—
938C2×C32—181no—
939C2×C32—181no—
940C2×C32—181no—
941C2×C32—181no—
942C2×C32—181no—
943C2×C32—181no—
944C2×C32—181no—
945C2×C32—181no—
946C2×C32—181no—
947C2×C32—181no—
948C2×C32—181no—
949C2×C32—181no—
950C2×C32—181no—
951C2×C32—181no—
952C2×C32—181no—
953C2×C32—181no—
954C2×C32—181no—
955C2×C32—181no—
956C2×C32—181no—
957C2×C32—181no—
958C2×C32—181no—
959C2×C32—181no—
960C2×C32—181no—
961C2×C32—181no—
962C2×C32—181no—
963C2×C32—181no—
964C2×C32—181no—
965C2×C32—181no—
966C2×C32—181no—
967C2×C32—181no—
968C2×C32—181no—
969C2×C32—181no—
970C2×C32—181no—
971C2×C32—181no—
972C2×C32—181no—
973C2×C32—181no—
974C2×C32—181no—
975C2×C32—181no—
976C2×C32—181no—
977C2×C32—271no—
978C2×C32—271no—
979C2×C32—271no—
980C2×C32—271no—
981C2×C32—271no—
982C2×C32—541no—
983C2×C32—541no—
984C2×C32—541no—
985C2×C32—541no—
986C2×C32—541no—
987C2×C32—541no—
988C2×C32—541no—
989C2×C32—812no—
990C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
991C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
992C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
993C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
994C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
995C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
996C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
997C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
998C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
999C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1000C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1001C2×C32C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1002C2×C32C3×C3⋊(C3⋊D3)11yescharacteristic
1003C3⋊D3—92no—
1004C3⋊D3—92no—
1005C3⋊D3—92no—
1006C3⋊D3—92no—
1007C3⋊D3—272no—
1008C3⋊D3—272no—
1009C3⋊D3—272no—
1010C3⋊D3—272no—
1011C3⋊D3—272no—
1012C3⋊D3—272no—
1013C3⋊D3—272no—
1014C3⋊D3—272no—
1015C3⋊D3—272no—
1016C3⋊D3—272no—
1017C3⋊D3—272no—
1018C3⋊D3—272no—
1019C3×D3—272no—
1020C3×D3—272no—
1021C3×D3—272no—
1022C3×D3—272no—
1023C3×D3—272no—
1024C3×D3—272no—
1025C3×D3—272no—
1026C3×D3—272no—
1027C3×D3—272no—
1028C3×D3—272no—
1029C3×D3—272no—
1030C3×D3—272no—
1031C3×D3—272no—
1032C3×D3—272no—
1033C3×D3—272no—
1034C3×D3—272no—
1035C3×D3—272no—
1036C3×D3—272no—
1037C3×D3—272no—
1038C3×D3—272no—
1039C3×D3—272no—
1040C3×D3—272no—
1041C3×D3—272no—
1042C3×D3—272no—
1043C3×D3—272no—
1044C3×D3—272no—
1045C3×D3—272no—
1046C3×D3—272no—
1047C3×D3—272no—
1048C3×D3—272no—
1049C3×D3—272no—
1050C3×D3—272no—
1051C3×D3—272no—
1052C3×D3—272no—
1053C3×D3—272no—
1054C3×D3—272no—
1055C3×D3—272no—
1056C3×D3—272no—
1057C3×D3—272no—
1058C3×D3—272no—
1059C3×D3—272no—
1060C3×D3—272no—
1061C3×D3—272no—
1062C3×D3—272no—
1063C3×D3—272no—
1064C3×D3—272no—
1065C3×D3—272no—
1066C3×D3—272no—
1067C3×D3—272no—
1068C3×D3—272no—
1069C3×D3—272no—
1070C3×D3—272no—
1071C3×D3—812no—
1072C3×D3—812no—
1073C3×D3—812no—
1074C3×D3—812no—
1075C3×D3—812no—
1076C3×D3—812no—
1077C3×D3—812no—
1078C3×D3—812no—
1079C3×D3—812no—
1080C2×C9—61no—
1081C2×C9—61no—
1082C2×C9—61no—
1083C2×C9—61no—
1084C2×C9—61no—
1085C2×C9—61no—
1086C2×C9—61no—
1087C2×C9—61no—
1088C2×C9—61no—
1089C22×C3—811no—
1090C22×C3—811no—
1091C22×C3—811no—
1092C22×C3—811no—
1093C2×D3—271no—
1094C2×D3—271no—
1095C2×D3—271no—
1096C2×D3—271no—
1097C2×D3—271no—
1098C2×D3—271no—
1099C2×D3—271no—
1100C2×D3—271no—
1101C2×D3—271no—
1102C2×D3—271no—
1103C2×D3—271no—
1104C2×D3—271no—
1105C2×D3—271no—
1106C2×D3—811no—
1107C2×D3—811no—
1108C2×D3—811no—
1109C2×D3—811no—
1110C2×D3—811no—
1111C2×D3—811no—
1112C2×D3—811no—
1113C2×D3—811no—
1114C2×D3—811no—
1115C32—31no—
1116C32—31no—
1117C32—31no—
1118C32—31no—
1119C32—31no—
1120C32—31no—
1121C32—31no—
1122C32—31no—
1123C32—31no—
1124C32—31no—
1125C32—31no—
1126C32—61no—
1127C32—61no—
1128C32—61no—
1129C32—61no—
1130C32—61no—
1131C32—61no—
1132C32—91no—
1133C32—91no—
1134C32—91no—
1135C32—91no—
1136C32—181no—
1137C32—181no—
1138C32—181no—
1139C32—181no—
1140C32—181no—
1141C32—181no—
1142C32—181no—
1143C32—181no—
1144C32—181no—
1145C32—181no—
1146C32—181no—
1147C32—181no—
1148C32—181no—
1149C32—181no—
1150C32—181no—
1151C32—181no—
1152C32—181no—
1153C32—181no—
1154C32—181no—
1155C32—181no—
1156C32—181no—
1157C32—181no—
1158C32—181no—
1159C32—181no—
1160C32—181no—
1161C32—181no—
1162C32—181no—
1163C32—181no—
1164C32—181no—
1165C32—181no—
1166C32—181no—
1167C32—181no—
1168C32—181no—
1169C32—181no—
1170C32—181no—
1171C32—181no—
1172C32—181no—
1173C32—181no—
1174C32—181no—
1175C32—181no—
1176C32—271no—
1177C32—271no—
1178C32—271no—
1179C32—271no—
1180C32—271no—
1181C32—541no—
1182C32—541no—
1183C32—541no—
1184C32—541no—
1185C32—541no—
1186C32—541no—
1187C32—541no—
1188C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1189C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1190C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1191C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1192C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1193C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1194C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1195C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1196C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1197C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1198C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1199C32C2×C3⋊((C3⋊D3)⋊C3)11yescharacteristic
1200C32C2×C3×C3⋊(C3⋊D3)11yescharacteristic
1201C9—61no—
1202C9—61no—
1203C9—61no—
1204C9—61no—
1205C9—61no—
1206C9—61no—
1207C9—61no—
1208C9—61no—
1209C9—61no—
1210C2×C3—31no—
1211C2×C3—31no—
1212C2×C3—31no—
1213C2×C3—31no—
1214C2×C3—31no—
1215C2×C3—31no—
1216C2×C3—61no—
1217C2×C3—61no—
1218C2×C3—61no—
1219C2×C3—61no—
1220C2×C3—61no—
1221C2×C3—61no—
1222C2×C3—61no—
1223C2×C3—61no—
1224C2×C3—61no—
1225C2×C3—61no—
1226C2×C3—91no—
1227C2×C3—181no—
1228C2×C3—181no—
1229C2×C3—181no—
1230C2×C3—181no—
1231C2×C3—181no—
1232C2×C3—181no—
1233C2×C3—181no—
1234C2×C3—181no—
1235C2×C3—181no—
1236C2×C3—181no—
1237C2×C3—181no—
1238C2×C3—181no—
1239C2×C3—812no—
1240C2×C3—812no—
1241C2×C3—812no—
1242C2×C3—812no—
1243C2×C3C3⋊(C3⋊((C3⋊D3)⋊C3))11yescharacteristic
1244D3—272no—
1245D3—272no—
1246D3—272no—
1247D3—272no—
1248D3—272no—
1249D3—272no—
1250D3—272no—
1251D3—272no—
1252D3—272no—
1253D3—272no—
1254D3—272no—
1255D3—272no—
1256D3—272no—
1257D3—812no—
1258D3—812no—
1259D3—812no—
1260D3—812no—
1261D3—812no—
1262D3—812no—
1263D3—812no—
1264D3—812no—
1265D3—812no—
1266C22—811noSylow
1267C3—31no—
1268C3—31no—
1269C3—31no—
1270C3—31no—
1271C3—31no—
1272C3—31no—
1273C3—61no—
1274C3—61no—
1275C3—61no—
1276C3—61no—
1277C3—61no—
1278C3—61no—
1279C3—61no—
1280C3—61no—
1281C3—61no—
1282C3—61no—
1283C3—91no—
1284C3—181no—
1285C3—181no—
1286C3—181no—
1287C3—181no—
1288C3—181no—
1289C3—181no—
1290C3—181no—
1291C3—181no—
1292C3—181no—
1293C3—181no—
1294C3—181no—
1295C3—181no—
1296C3C2×C3⋊(C3⋊((C3⋊D3)⋊C3))11yescharacteristic
1297C2—812no—
1298C2#1309164611yescharacteristic, direct product factor
subgroupG/H
center, socle, hypercenterC2×C3C3⋊(C3⋊((C3⋊D3)⋊C3))
commutator, cosocle, hypocenterH(5,𝔽3)C22×C3
FrattiniC32C2×C3×C3⋊(C3⋊D3)
FittingC2×#10624930C2
LCSG ▷ H(5,𝔽3)
UCSC1 ◁ C2×C3

Complements

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

NH ≅ G/Ntype
1. #13091646C2direct (N × H)
2. C2×#10624930C2semidirect
3. C2×#92404C3semidirect
17. #10624930C22semidirect
19. C2×H(5,𝔽3)C2×C3semidirect
20. C2×C32×H(3,𝔽3)D3semidirect
21. #92404C2×C3semidirect
35. C2×C3×AΣL(1,𝔽27)D3semidirect
36. C2×C3×AΣL(1,𝔽27)D3semidirect
37. C2×C3×AΣL(1,𝔽27)D3semidirect
38. C2×C3×AΣL(1,𝔽27)D3semidirect
39. C2×C3×AΣL(1,𝔽27)D3semidirect
40. C2×C3×AΣL(1,𝔽27)D3semidirect
41. C2×C3×AΣL(1,𝔽27)D3semidirect
42. C2×C3×AΣL(1,𝔽27)D3semidirect
43. C2×C3×AΣL(1,𝔽27)D3semidirect
44. C2×C3×AΣL(1,𝔽27)D3semidirect
45. C2×C3×AΣL(1,𝔽27)D3semidirect
46. C2×C3×AΣL(1,𝔽27)D3semidirect
104. H(5,𝔽3)C22×C3semidirect
105. C32×H(3,𝔽3)C2×D3semidirect
118. C3×AΣL(1,𝔽27)C2×D3semidirect
119. C3×AΣL(1,𝔽27)C2×D3semidirect
120. C3×AΣL(1,𝔽27)C2×D3semidirect
121. C3×AΣL(1,𝔽27)C2×D3semidirect
122. C3×AΣL(1,𝔽27)C2×D3semidirect
123. C3×AΣL(1,𝔽27)C2×D3semidirect
124. C3×AΣL(1,𝔽27)C2×D3semidirect
125. C3×AΣL(1,𝔽27)C2×D3semidirect
126. C3×AΣL(1,𝔽27)C2×D3semidirect
127. C3×AΣL(1,𝔽27)C2×D3semidirect
128. C3×AΣL(1,𝔽27)C2×D3semidirect
129. C3×AΣL(1,𝔽27)C2×D3semidirect
130. C2×C34C3⋊D3semidirect
131. C2×C34C3⋊D3semidirect
132. C2×C34C3⋊D3semidirect
133. C2×C34C3⋊D3semidirect
182. C2×C3×H(3,𝔽3)C3×D3semidirect
183. C2×C3×H(3,𝔽3)C3×D3semidirect
184. C2×C3×H(3,𝔽3)C3×D3semidirect
185. C2×C3×H(3,𝔽3)C3×D3semidirect
186. C2×C3×H(3,𝔽3)C3×D3semidirect
187. C2×C3×H(3,𝔽3)C3×D3semidirect
188. C2×C3×H(3,𝔽3)C3×D3semidirect
189. C2×C3×H(3,𝔽3)C3×D3semidirect
190. C2×C3×H(3,𝔽3)C3×D3semidirect
191. C2×C3×H(3,𝔽3)C3×D3semidirect
192. C2×C3×H(3,𝔽3)C3×D3semidirect
193. C2×C3×H(3,𝔽3)C3×D3semidirect
261. C2×AΣL(1,𝔽27)C3⋊D3semidirect
262. C2×AΣL(1,𝔽27)C3⋊D3semidirect
263. C2×AΣL(1,𝔽27)C3⋊D3semidirect
264. C2×AΣL(1,𝔽27)C3⋊D3semidirect
265. C2×AΣL(1,𝔽27)C3⋊D3semidirect
266. C2×AΣL(1,𝔽27)C3⋊D3semidirect
267. C2×AΣL(1,𝔽27)C3⋊D3semidirect
268. C2×AΣL(1,𝔽27)C3⋊D3semidirect
269. C2×AΣL(1,𝔽27)C3⋊D3semidirect
362. C34C2×C3⋊D3semidirect
363. C34C2×C3⋊D3semidirect
364. C34C2×C3⋊D3semidirect
365. C34C2×C3⋊D3semidirect
410. C3×H(3,𝔽3)C2×C3×D3semidirect
411. C3×H(3,𝔽3)C2×C3×D3semidirect
412. C3×H(3,𝔽3)C2×C3×D3semidirect
413. C3×H(3,𝔽3)C2×C3×D3semidirect
414. C3×H(3,𝔽3)C2×C3×D3semidirect
415. C3×H(3,𝔽3)C2×C3×D3semidirect
416. C3×H(3,𝔽3)C2×C3×D3semidirect
417. C3×H(3,𝔽3)C2×C3×D3semidirect
418. C3×H(3,𝔽3)C2×C3×D3semidirect
419. C3×H(3,𝔽3)C2×C3×D3semidirect
420. C3×H(3,𝔽3)C2×C3×D3semidirect
421. C3×H(3,𝔽3)C2×C3×D3semidirect
458. AΣL(1,𝔽27)C2×C3⋊D3semidirect
459. AΣL(1,𝔽27)C2×C3⋊D3semidirect
460. AΣL(1,𝔽27)C2×C3⋊D3semidirect
461. AΣL(1,𝔽27)C2×C3⋊D3semidirect
462. AΣL(1,𝔽27)C2×C3⋊D3semidirect
463. AΣL(1,𝔽27)C2×C3⋊D3semidirect
464. AΣL(1,𝔽27)C2×C3⋊D3semidirect
465. AΣL(1,𝔽27)C2×C3⋊D3semidirect
466. AΣL(1,𝔽27)C2×C3⋊D3semidirect
1298. C2#13091646direct (N × H)

Maximal subgroups

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

subgroupindex
#130916462
C2×#106249302
C2×#924043
C2×C3×C3⋊#2723
C2×C3⋊#41743