Finite Group Databasebeta

← D43×#2651 #25263220

Subgroups — D43×#2651 #25263220

Order 11008.

2222 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19140635C211yesmaximal, characteristic, complemented
2#19140634C211yesmaximal, characteristic, complemented
3#19140633C211yesmaximal, characteristic, complemented
4#19140632C211yesmaximal, characteristic, complemented
5#19140631C211yesmaximal, characteristic, complemented
6#19140630C211yesmaximal, characteristic, complemented
7#19140629C211yesmaximal, characteristic, complemented
8#19140628C211yesmaximal, characteristic, complemented
9#19140627C211yesmaximal, characteristic, complemented
10#19140626C211yesmaximal, characteristic, complemented
11#19140625C211yesmaximal, characteristic, complemented
12#19140624C211yesmaximal, characteristic, complemented
13#19140623C211yesmaximal, characteristic, complemented
14#19140622C211yesmaximal, characteristic, complemented
15#19140621C211yesmaximal, characteristic, complemented
16#399×D43C211yesmaximal, characteristic, complemented
17#398×D43C211yesmaximal, characteristic, complemented
18#398×D43C211yesmaximal, characteristic, complemented
19#397×D43C211yesmaximal, characteristic, complemented
20#397×D43C211yesmaximal, characteristic, complemented
21#396×D43C211yesmaximal, characteristic, complemented
22#394×D43C211yesmaximal, characteristic
23#394×D43C211yesmaximal, characteristic
24#390×D43C211yesmaximal, characteristic
25#388×D43C211yesmaximal, characteristic, complemented
26#388×D43C211yesmaximal, characteristic, complemented
27#388×D43C211yesmaximal, characteristic, complemented
28#388×D43C211yesmaximal, characteristic, complemented
29#387×D43C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2651C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C2×C4⋊C4×D43C2211yescharacteristic
34C2×C4⋊C4×D43C2211yescharacteristic
35C2×C4⋊C4×D43C2211yescharacteristic
36C2×C4⋊C4×D43C2211yescharacteristic
37C2×C4⋊C4×D43C2211yescharacteristic
38C2×C4⋊C4×D43C2211yescharacteristic
39C2×C4⋊C4×D43C2211yescharacteristic
40C2×C4⋊C4×D43C2211yescharacteristic
41C2×C4⋊C4×D43C2211yescharacteristic
42C2×C22⋊C4×D43C2211yescharacteristic
43C2×C22⋊C4×D43C2211yescharacteristic
44C2×C22⋊C4×D43C2211yescharacteristic
45C2×C22⋊C4×D43C2211yescharacteristic
46C2×C22⋊C4×D43C2211yescharacteristic
47C2×C22⋊C4×D43C2211yescharacteristic
48C2×C22⋊C4×D43C2211yescharacteristic
49C2×C22⋊C4×D43C2211yescharacteristic
50C2×C22⋊C4×D43C2211yescharacteristic
51C2×C22⋊C4×D43C2211yescharacteristic
52C2×C22⋊C4×D43C2211yescharacteristic
53C2×C22⋊C4×D43C2211yescharacteristic
54C2×C42×D43C2211yescharacteristic
55C2×C42×D43C2211yescharacteristic
56C2×C42×D43C2211yescharacteristic
57#14582836C2211yescharacteristic, complemented
58#14582835C2211yescharacteristic, complemented
59#14582835C2211yescharacteristic, complemented
60#14582835C2211yescharacteristic, complemented
61#14582834C2211yescharacteristic, complemented
62#14582834C2211yescharacteristic, complemented
63#14582834C2211yescharacteristic, complemented
64#14582833C2211yescharacteristic, complemented
65#14582833C2211yescharacteristic, complemented
66#14582833C2211yescharacteristic, complemented
67#14582833C2211yescharacteristic, complemented
68#14582832C2211yescharacteristic, complemented
69#14582832C2211yescharacteristic, complemented
70#14582832C2211yescharacteristic, complemented
71#14582832C2211yescharacteristic, complemented
72#14582831C2211yescharacteristic, complemented
73#14582831C2211yescharacteristic, complemented
74#14582830C2211yescharacteristic, complemented
75#14582830C2211yescharacteristic, complemented
76#14582829C2211yescharacteristic, complemented
77#14582829C2211yescharacteristic, complemented
78#14582828C2211yescharacteristic, complemented
79#14582828C2211yescharacteristic, complemented
80#14582828C2211yescharacteristic, complemented
81#14582828C2211yescharacteristic, complemented
82#14582827C2211yescharacteristic, complemented
83#14582827C2211yescharacteristic, complemented
84#14582827C2211yescharacteristic, complemented
85#14582827C2211yescharacteristic, complemented
86#14582826C2211yescharacteristic, complemented
87#14582826C2211yescharacteristic, complemented
88#14582825C2211yescharacteristic, complemented
89#14582825C2211yescharacteristic, complemented
90#14582824C2211yescharacteristic, complemented
91#14582824C2211yescharacteristic, complemented
92#14582823C2211yescharacteristic, complemented
93#14582822C2211yescharacteristic, complemented
94#14582822C2211yescharacteristic, complemented
95#14582822C2211yescharacteristic, complemented
96#14582821C2211yescharacteristic, complemented
97#14582821C2211yescharacteristic, complemented
98#14582821C2211yescharacteristic, complemented
99#14582817C2211yescharacteristic
100#14582817C2211yescharacteristic
101#14582816C2211yescharacteristic
102#14582816C2211yescharacteristic
103#14582815C2211yescharacteristic
104#14582815C2211yescharacteristic
105#14582815C2211yescharacteristic
106#14582815C2211yescharacteristic
107#14582814C2211yescharacteristic
108#14582814C2211yescharacteristic
109#14582814C2211yescharacteristic
110#14582814C2211yescharacteristic
111#14582813C2211yescharacteristic
112#14582813C2211yescharacteristic
113#14582802C2211yescharacteristic
114#14582801C2211yescharacteristic
115#14582800C2211yescharacteristic
116#14582799C2211yescharacteristic
117#14582799C2211yescharacteristic
118#14582799C2211yescharacteristic
119#14582799C2211yescharacteristic
120#14582793C2211yescharacteristic, complemented
121#14582793C2211yescharacteristic, complemented
122#14582793C2211yescharacteristic, complemented
123#14582793C2211yescharacteristic, complemented
124#14582792C2211yescharacteristic, complemented
125#14582792C2211yescharacteristic, complemented
126#14582792C2211yescharacteristic, complemented
127#14582792C2211yescharacteristic, complemented
128#14582791C2211yescharacteristic, complemented
129#14582791C2211yescharacteristic, complemented
130#14582791C2211yescharacteristic, complemented
131#14582791C2211yescharacteristic, complemented
132#14582790C2211yescharacteristic, complemented
133#14582790C2211yescharacteristic, complemented
134#14582790C2211yescharacteristic, complemented
135#14582790C2211yescharacteristic, complemented
136#14582789C2211yescharacteristic, complemented
137#14582789C2211yescharacteristic, complemented
138#14582789C2211yescharacteristic, complemented
139#14582789C2211yescharacteristic, complemented
140#14582788C2211yescharacteristic, complemented
141#14582788C2211yescharacteristic, complemented
142#14582788C2211yescharacteristic, complemented
143#14582788C2211yescharacteristic, complemented
144#14582787C2211yescharacteristic, complemented
145#14582787C2211yescharacteristic, complemented
146#14582787C2211yescharacteristic, complemented
147#14582787C2211yescharacteristic, complemented
148#14582786C2211yescharacteristic, complemented
149#14582785C2211yescharacteristic, complemented
150#14582784C2211yescharacteristic, complemented
151#14582783C2211yescharacteristic, complemented
152#14582782C2211yescharacteristic, complemented
153#14582781C2211yescharacteristic, complemented
154#14582780C2211yescharacteristic, complemented
155C4⋊C4×Dic43C2211yescharacteristic, complemented
156C4⋊C4×Dic43C2211yescharacteristic, complemented
157C4×Dic43⋊C4C2211yescharacteristic, complemented
158C4×Dic43⋊C4C2211yescharacteristic, complemented
159C4×C4⋊Dic43C2211yescharacteristic, complemented
160#14582750C2211yescharacteristic, complemented
161#14582750C2211yescharacteristic, complemented
162#95×D43C2211yescharacteristic
163#95×D43C2211yescharacteristic
164#95×D43C2211yescharacteristic
165#95×D43C2211yescharacteristic
166#95×D43C2211yescharacteristic
167#95×D43C2211yescharacteristic
168#95×D43C2211yescharacteristic
169#95×D43C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C43×#399C2211yescharacteristic, complemented
173C43×#398C2211yescharacteristic, complemented
174C43×#398C2211yescharacteristic, complemented
175C43×#397C2211yescharacteristic, complemented
176C43×#397C2211yescharacteristic, complemented
177C43×#396C2211yescharacteristic, complemented
178C43×#394C2211yescharacteristic
179C43×#394C2211yescharacteristic
180C43×#390C2211yescharacteristic
181C43×#388C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#388C2211yescharacteristic, complemented
184C43×#388C2211yescharacteristic, complemented
185C43×#387C2211yescharacteristic, complemented
186C4×C4⋊C4×C43C2211yescharacteristic, complemented
187C24×D43C2311yescharacteristic
188C24×D43C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×C22⋊D43C2311yescharacteristic
191C22×C22⋊D43C2311yescharacteristic
192C2×D4×D43—24no—
193C2×D4×D43—42no—
194C2×D4×D43—42no—
195C22×C4×D43C2311yescharacteristic
196C22×C4×D43C2311yescharacteristic
197C22×C4×D43C2311yescharacteristic
198C22×C4×D43C2311yescharacteristic
199C22×C4×D43C2311yescharacteristic
200C22×C4×D43C2311yescharacteristic
201C22×C4×D43C2311yescharacteristic
202C22×C4×D43C2311yescharacteristic
203C22×C4×D43C2311yescharacteristic
204C22×C4×D43C2311yescharacteristic
205C22×C4×D43C2311yescharacteristic
206C22×C4×D43C2311yescharacteristic
207C22×C4×D43C2311yescharacteristic
208C2×C4⋊Dic43C2311yescharacteristic
209C2×C4⋊Dic43C2311yescharacteristic
210C2×C4⋊Dic43C2311yescharacteristic
211C2×C4⋊Dic43C2311yescharacteristic
212C2×C4⋊Dic43C2311yescharacteristic
213C2×C4⋊Dic43C2311yescharacteristic
214C2×C4⋊Dic43C2311yescharacteristic
215C2×C4⋊Dic43C2311yescharacteristic
216C2×C4⋊Dic43C2311yescharacteristic
217C2×Dic43⋊C4C2311yescharacteristic
218C2×Dic43⋊C4C2311yescharacteristic
219C2×Dic43⋊C4C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C4⋊C4×D43—24no—
236C4⋊C4×D43—24no—
237C4⋊C4×D43—24no—
238C4⋊C4×D43—42no—
239C4⋊C4×D43—42no—
240C4⋊C4×D43—42no—
241C4⋊C4×D43—42no—
242C4⋊C4×D43—42no—
243C4⋊C4×D43—42no—
244C2×C22⋊Dic43C2311yescharacteristic
245C2×C22⋊Dic43C2311yescharacteristic
246C2×C22⋊Dic43C2311yescharacteristic
247C2×C22⋊Dic43C2311yescharacteristic
248C2×C22⋊Dic43C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×(C2×D43)⋊C4C2311yescharacteristic
257C2×(C2×D43)⋊C4C2311yescharacteristic
258C2×(C2×D43)⋊C4C2311yescharacteristic
259C2×(C2×D43)⋊C4C2311yescharacteristic
260C2×(C2×D43)⋊C4C2311yescharacteristic
261C2×(C2×D43)⋊C4C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C22⋊C4×D43—24no—
281C22⋊C4×D43—24no—
282C22⋊C4×D43—24no—
283C22⋊C4×D43—24no—
284C22⋊C4×D43—42no—
285C22⋊C4×D43—42no—
286C22⋊C4×D43—42no—
287C22⋊C4×D43—42no—
288C22⋊C4×D43—42no—
289C22⋊C4×D43—42no—
290C22⋊C4×D43—42no—
291C22⋊C4×D43—42no—
292C2×C4×Dic43C2311yescharacteristic
293C2×C4×Dic43C2311yescharacteristic
294C2×C4×Dic43C2311yescharacteristic
295C2×C4×Dic43C2311yescharacteristic
296C2×C4×Dic43C2311yescharacteristic
297C2×C4×Dic43C2311yescharacteristic
298C2×C4×Dic43C2311yescharacteristic
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C42×D43—24no—
302C42×D43—42no—
303C42×D43—42no—
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C22×D4×C43C2311yescharacteristic
335C2×C4⋊C4×C43C2311yescharacteristic
336C2×C4⋊C4×C43C2311yescharacteristic
337C2×C4⋊C4×C43C2311yescharacteristic
338C2×C4⋊C4×C43C2311yescharacteristic
339C2×C4⋊C4×C43C2311yescharacteristic
340C2×C4⋊C4×C43C2311yescharacteristic
341C2×C4⋊C4×C43C2311yescharacteristic
342C2×C4⋊C4×C43C2311yescharacteristic
343C2×C4⋊C4×C43C2311yescharacteristic
344C2×C22⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43C2311yescharacteristic
348C2×C22⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C42×C43C2311yescharacteristic
357C2×C42×C43C2311yescharacteristic
358C2×C42×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43C2411yescharacteristic
370C24×C43C2411yescharacteristic
371C23×D43—22no—
372C23×D43—22no—
373C23×D43—22no—
374C23×D43—22no—
375C23×D43—22no—
376C23×D43—22no—
377C23×D43—22no—
378C23×D43—22no—
379C23×D43—22no—
380C23×D43—22no—
381C23×D43—22no—
382C23×D43—22no—
383C23×D43—22no—
384C23×D43—22no—
385C23×D43C2411yescharacteristic
386C23×D43C2411yescharacteristic
387C23×D43C2411yescharacteristic
388C2×D4×C43—22no—
389C2×D4×C43—41no—
390C2×D4×C43—41no—
391C22×C4×C43C2411yescharacteristic
392C22×C4×C43C2411yescharacteristic
393C22×C4×C43C2411yescharacteristic
394C22×C4×C43C2411yescharacteristic
395C22×C4×C43C2411yescharacteristic
396C22×C4×C43C2411yescharacteristic
397C22×C4×C43C2411yescharacteristic
398C22×C4×C43C2411yescharacteristic
399C22×C4×C43C2411yescharacteristic
400C22×C4×C43C2411yescharacteristic
401C22×C4×C43C2411yescharacteristic
402C22×C4×C43C2411yescharacteristic
403C22×C4×C43C2411yescharacteristic
404C2×C22⋊D43—22no—
405C2×C22⋊D43—22no—
406C2×C22⋊D43—41no—
407C2×C22⋊D43—41no—
408C2×C22⋊D43—41no—
409C2×C22⋊D43—41no—
410C22×Dic43C2411yescharacteristic
411C22×Dic43C2411yescharacteristic
412C22×Dic43C2411yescharacteristic
413C22×Dic43C2411yescharacteristic
414C22×Dic43C2411yescharacteristic
415C22×Dic43C2411yescharacteristic
416C22×Dic43C2411yescharacteristic
417C22×Dic43C2411yescharacteristic
418C22×Dic43C2411yescharacteristic
419C22×Dic43C2411yescharacteristic
420C22×Dic43C2411yescharacteristic
421C22×Dic43C2411yescharacteristic
422C22×Dic43C2411yescharacteristic
423D4×D43—416no—
424C2×D172—22no—
425C2×D172—41no—
426C2×D172—41no—
427C2×C4×D43—22no—
428C2×C4×D43—22no—
429C2×C4×D43—22no—
430C2×C4×D43—22no—
431C2×C4×D43—22no—
432C2×C4×D43—22no—
433C2×C4×D43—22no—
434C2×C4×D43—22no—
435C2×C4×D43—22no—
436C2×C4×D43—22no—
437C2×C4×D43—22no—
438C2×C4×D43—22no—
439C2×C4×D43—22no—
440C2×C4×D43—22no—
441C2×C4×D43—22no—
442C2×C4×D43—22no—
443C2×C4×D43—22no—
444C2×C4×D43—22no—
445C2×C4×D43—22no—
446C2×C4×D43—22no—
447C2×C4×D43—22no—
448C2×C4×D43—22no—
449C2×C4×D43—22no—
450C2×C4×D43—22no—
451C2×C4×D43—22no—
452C2×C4×D43—22no—
453C2×C4×D43—22no—
454C2×C4×D43—22no—
455C2×C4×D43—22no—
456C2×C4×D43—22no—
457C2×C4×D43—22no—
458C2×C4×D43—22no—
459C2×C4×D43—22no—
460C2×C4×D43—22no—
461C2×C4×D43—22no—
462C2×C4×D43—22no—
463C2×C4×D43#4114yes—
464C2×C4×D43#4114yes—
465C2×C4×D43#4114yes—
466C4⋊C4×C43—22no—
467C4⋊C4×C43—22no—
468C4⋊C4×C43—22no—
469C4⋊C4×C43—41no—
470C4⋊C4×C43—41no—
471C4⋊C4×C43—41no—
472C4⋊C4×C43—41no—
473C4⋊C4×C43—41no—
474C4⋊C4×C43—41no—
475C22⋊C4×C43—22no—
476C22⋊C4×C43—22no—
477C22⋊C4×C43—22no—
478C22⋊C4×C43—22no—
479C22⋊C4×C43—41no—
480C22⋊C4×C43—41no—
481C22⋊C4×C43—41no—
482C22⋊C4×C43—41no—
483C22⋊C4×C43—41no—
484C22⋊C4×C43—41no—
485C22⋊C4×C43—41no—
486C22⋊C4×C43—41no—
487C42×C43—22no—
488C42×C43—41no—
489C42×C43—41no—
490C22⋊Dic43—22no—
491C22⋊Dic43—22no—
492C22⋊Dic43—22no—
493C22⋊Dic43—22no—
494C22⋊Dic43—41no—
495C22⋊Dic43—41no—
496C22⋊Dic43—41no—
497C22⋊Dic43—41no—
498C22⋊Dic43—41no—
499C22⋊Dic43—41no—
500C22⋊Dic43—41no—
501C22⋊Dic43—41no—
502(C2×D43)⋊C4—22no—
503(C2×D43)⋊C4—22no—
504(C2×D43)⋊C4—22no—
505(C2×D43)⋊C4—22no—
506(C2×D43)⋊C4—22no—
507(C2×D43)⋊C4—22no—
508(C2×D43)⋊C4—22no—
509(C2×D43)⋊C4—22no—
510(C2×D43)⋊C4—41no—
511(C2×D43)⋊C4—41no—
512(C2×D43)⋊C4—41no—
513(C2×D43)⋊C4—41no—
514(C2×D43)⋊C4—41no—
515(C2×D43)⋊C4—41no—
516(C2×D43)⋊C4—41no—
517(C2×D43)⋊C4—41no—
518(C2×D43)⋊C4—41no—
519(C2×D43)⋊C4—41no—
520(C2×D43)⋊C4—41no—
521(C2×D43)⋊C4—41no—
522(C2×D43)⋊C4—41no—
523(C2×D43)⋊C4—41no—
524(C2×D43)⋊C4—41no—
525(C2×D43)⋊C4—41no—
526C4⋊Dic43—22no—
527C4⋊Dic43—22no—
528C4⋊Dic43—22no—
529C4⋊Dic43—41no—
530C4⋊Dic43—41no—
531C4⋊Dic43—41no—
532C4⋊Dic43—41no—
533C4⋊Dic43—41no—
534C4⋊Dic43—41no—
535Dic43⋊C4—22no—
536Dic43⋊C4—22no—
537Dic43⋊C4—22no—
538Dic43⋊C4—22no—
539Dic43⋊C4—22no—
540Dic43⋊C4—22no—
541Dic43⋊C4—41no—
542Dic43⋊C4—41no—
543Dic43⋊C4—41no—
544Dic43⋊C4—41no—
545Dic43⋊C4—41no—
546Dic43⋊C4—41no—
547Dic43⋊C4—41no—
548Dic43⋊C4—41no—
549Dic43⋊C4—41no—
550Dic43⋊C4—41no—
551Dic43⋊C4—41no—
552Dic43⋊C4—41no—
553C4×Dic43—22no—
554C4×Dic43—22no—
555C4×Dic43—22no—
556C4×Dic43—41no—
557C4×Dic43—41no—
558C4×Dic43—41no—
559C4×Dic43—41no—
560C4×Dic43—41no—
561C4×Dic43—41no—
562C23×C43—21no—
563C23×C43—21no—
564C23×C43—21no—
565C23×C43—21no—
566C23×C43—21no—
567C23×C43—21no—
568C23×C43—21no—
569C23×C43—21no—
570C23×C43—21no—
571C23×C43—21no—
572C23×C43—21no—
573C23×C43—21no—
574C23×C43—21no—
575C23×C43—21no—
576C23×C43C2511yescharacteristic
577C22×D43—21no—
578C22×D43—21no—
579C22×D43—21no—
580C22×D43—21no—
581C22×D43—21no—
582C22×D43—21no—
583C22×D43—21no—
584C22×D43—21no—
585C22×D43—21no—
586C22×D43—21no—
587C22×D43—21no—
588C22×D43—21no—
589C22×D43—21no—
590C22×D43—21no—
591C22×D43—44no—
592C22×D43—44no—
593C22×D43—44no—
594C22×D43—44no—
595C22×D43—44no—
596C22×D43—44no—
597C22×D43—44no—
598C22×D43—44no—
599C22×D43—44no—
600C22×D43—44no—
601C22×D43—44no—
602C22×D43—44no—
603C22×D43—44no—
604C22×D43—44no—
605C22×D43C2×#4112yes—
606C22×D43C2×#4112yes—
607C22×D43C2×#4112yes—
608C22×D43H(5,𝔽2)12yes—
609C22×D43H(5,𝔽2)12yes—
610C22×D43H(5,𝔽2)12yes—
611C22×D432−1+412yes—
612D4×C43—44no—
613C2×C4×C43—21no—
614C2×C4×C43—21no—
615C2×C4×C43—21no—
616C2×C4×C43—21no—
617C2×C4×C43—21no—
618C2×C4×C43—21no—
619C2×C4×C43—21no—
620C2×C4×C43—21no—
621C2×C4×C43—21no—
622C2×C4×C43—21no—
623C2×C4×C43—21no—
624C2×C4×C43—21no—
625C2×C4×C43—21no—
626C2×C4×C43—21no—
627C2×C4×C43—21no—
628C2×C4×C43—21no—
629C2×C4×C43—21no—
630C2×C4×C43—21no—
631C2×C4×C43—21no—
632C2×C4×C43—21no—
633C2×C4×C43—21no—
634C2×C4×C43—21no—
635C2×C4×C43—21no—
636C2×C4×C43—21no—
637C2×C4×C43—21no—
638C2×C4×C43—21no—
639C2×C4×C43—21no—
640C2×C4×C43—21no—
641C2×C4×C43—21no—
642C2×C4×C43—21no—
643C2×C4×C43—21no—
644C2×C4×C43—21no—
645C2×C4×C43—21no—
646C2×C4×C43—21no—
647C2×C4×C43—21no—
648C2×C4×C43—21no—
649C2×C4×C43C2×#4112yes—
650C2×C4×C43C2×#4112yes—
651C2×C4×C43C2×#4112yes—
652C22⋊D43—44no—
653C22⋊D43—44no—
654C2×Dic43—21no—
655C2×Dic43—21no—
656C2×Dic43—21no—
657C2×Dic43—21no—
658C2×Dic43—21no—
659C2×Dic43—21no—
660C2×Dic43—21no—
661C2×Dic43—21no—
662C2×Dic43—21no—
663C2×Dic43—21no—
664C2×Dic43—21no—
665C2×Dic43—21no—
666C2×Dic43—21no—
667C2×Dic43—21no—
668C2×Dic43—21no—
669C2×Dic43—21no—
670C2×Dic43—21no—
671C2×Dic43—21no—
672C2×Dic43—21no—
673C2×Dic43—21no—
674C2×Dic43—21no—
675C2×Dic43—21no—
676C2×Dic43—21no—
677C2×Dic43—21no—
678C2×Dic43—21no—
679C2×Dic43—21no—
680C2×Dic43—21no—
681C2×Dic43—21no—
682C2×Dic43—21no—
683C2×Dic43—21no—
684C2×Dic43—21no—
685C2×Dic43—21no—
686C2×Dic43—21no—
687C2×Dic43—21no—
688C2×Dic43—21no—
689C2×Dic43—21no—
690C2×Dic43C2×#4112yes—
691C2×Dic43C2×#4112yes—
692C2×Dic43C2×#4112yes—
693D172—44no—
694C4×D43—28no—
695C4×D43—28no—
696C4×D43—28no—
697C4×D43—44no—
698C4×D43—44no—
699C4×D43—44no—
700C4×D43—44no—
701C4×D43—44no—
702C4×D43—44no—
703C4×D43—44no—
704C4×D43—44no—
705C4×D43—44no—
706C4×D43—44no—
707C2×#2651—431nomaximal, Sylow
708C22×C43—41no—
709C22×C43—41no—
710C22×C43—41no—
711C22×C43—41no—
712C22×C43—41no—
713C22×C43—41no—
714C22×C43—41no—
715C22×C43—41no—
716C22×C43—41no—
717C22×C43—41no—
718C22×C43—41no—
719C22×C43—41no—
720C22×C43—41no—
721C22×C43—41no—
722C22×C43C22×#4111yescharacteristic
723C22×C43C22×#4111yescharacteristic
724C22×C43C22×#4111yescharacteristic
725C22×C43C2×H(5,𝔽2)11yescharacteristic
726C22×C43C2×H(5,𝔽2)11yescharacteristic
727C22×C43C2×H(5,𝔽2)11yescharacteristic
728C22×C43C2×2−1+411yescharacteristic
729C2×D43—41no—
730C2×D43—41no—
731C2×D43—41no—
732C2×D43—41no—
733C2×D43—41no—
734C2×D43—41no—
735C2×D43—41no—
736C2×D43—41no—
737C2×D43—41no—
738C2×D43—41no—
739C2×D43—41no—
740C2×D43—41no—
741C2×D43—41no—
742C2×D43—41no—
743C2×D43—88no—
744C2×D43—88no—
745C2×D43#52914yes—
746C2×D43#53814yes—
747C2×D43#53914yes—
748C2×D43#54014yes—
749C2×D43#54014yes—
750C2×D43#54214yes—
751C2×D43#54214yes—
752C4×C43—22no—
753C4×C43—22no—
754C4×C43—22no—
755C4×C43—41no—
756C4×C43—41no—
757C4×C43—41no—
758C4×C43—41no—
759C4×C43—41no—
760C4×C43—41no—
761C4×C43—41no—
762C4×C43—41no—
763C4×C43—41no—
764C4×C43—41no—
765Dic43—22no—
766Dic43—22no—
767Dic43—22no—
768Dic43—41no—
769Dic43—41no—
770Dic43—41no—
771Dic43—41no—
772Dic43—41no—
773Dic43—41no—
774Dic43—41no—
775Dic43—41no—
776Dic43—41no—
777Dic43—41no—
778#2651—431no—
779#2651—431no—
780#2651—431no—
781#2651—431no—
782#2651—431no—
783#2651—431no—
784#2651—431no—
785#2651—431no—
786#2651—431no—
787#2651—431no—
788#2651—431no—
789#2651—431no—
790#2651—431no—
791#2651—431no—
792#2651—431no—
793#2651D4311yescharacteristic, direct product factor
794C2×#399—431no—
795C2×#398—431no—
796C2×#398—431no—
797C2×#397—431no—
798C2×#397—431no—
799C2×#396—431no—
800C2×#394—431no—
801C2×#394—431no—
802C2×#390—431no—
803C2×#388—431no—
804C2×#388—431no—
805C2×#388—431no—
806C2×#388—431no—
807C2×#387—431no—
808C2×C4×C4⋊C4—431no—
809C2×C43—81no—
810C2×C43—81no—
811C2×C43C2×#52911yescharacteristic
812C2×C43C2×#53811yescharacteristic
813C2×C43C2×#53911yescharacteristic
814C2×C43C2×#54011yescharacteristic
815C2×C43C2×#54011yescharacteristic
816C2×C43C2×#54211yescharacteristic
817C2×C43C2×#54211yescharacteristic
818D43—81no—
819D43—81no—
820D43#265118yesdirect product factor
821C23×D4—431no—
822C22×C4⋊C4—431no—
823C22×C4⋊C4—431no—
824C22×C4⋊C4—431no—
825C22×C4⋊C4—431no—
826C22×C4⋊C4—431no—
827C22×C4⋊C4—431no—
828C22×C4⋊C4—431no—
829C22×C4⋊C4—431no—
830C22×C4⋊C4—431no—
831C22×C22⋊C4—431no—
832C22×C22⋊C4—431no—
833C22×C22⋊C4—431no—
834C22×C22⋊C4—431no—
835C22×C22⋊C4—431no—
836C22×C22⋊C4—431no—
837C22×C22⋊C4—431no—
838C22×C22⋊C4—431no—
839C22×C22⋊C4—431no—
840C22×C22⋊C4—431no—
841C22×C22⋊C4—431no—
842C22×C22⋊C4—431no—
843C22×C42—431no—
844C22×C42—431no—
845C22×C42—431no—
846#399—431no—
847#399—431no—
848#399—431no—
849#399—431no—
850#399—431no—
851#399—431no—
852#399—431no—
853#399C2×D4311yescharacteristic, complemented
854#398—431no—
855#398—431no—
856#398—431no—
857#398—431no—
858#398—431no—
859#398—431no—
860#398—431no—
861#398—431no—
862#398—431no—
863#398—431no—
864#398—431no—
865#398—431no—
866#398—431no—
867#398—431no—
868#398C2×D4311yescharacteristic, complemented
869#398C2×D4311yescharacteristic, complemented
870#397—431no—
871#397—431no—
872#397—431no—
873#397—431no—
874#397—431no—
875#397—431no—
876#397—431no—
877#397—431no—
878#397—431no—
879#397—431no—
880#397—431no—
881#397—431no—
882#397—431no—
883#397—431no—
884#397C2×D4311yescharacteristic, complemented
885#397C2×D4311yescharacteristic, complemented
886#396—431no—
887#396—431no—
888#396—431no—
889#396—431no—
890#396—431no—
891#396—431no—
892#396—431no—
893#396C2×D4311yescharacteristic, complemented
894#394—431no—
895#394—431no—
896#394—431no—
897#394—431no—
898#394—431no—
899#394—431no—
900#394—431no—
901#394—431no—
902#394—431no—
903#394—431no—
904#394—431no—
905#394—431no—
906#394—431no—
907#394—431no—
908#394C2×D4311yescharacteristic
909#394C2×D4311yescharacteristic
910#390—431no—
911#390—431no—
912#390—431no—
913#390—431no—
914#390—431no—
915#390—431no—
916#390—431no—
917#390C2×D4311yescharacteristic
918#388—431no—
919#388—431no—
920#388—431no—
921#388—431no—
922#388—431no—
923#388—431no—
924#388—431no—
925#388—431no—
926#388—431no—
927#388—431no—
928#388—431no—
929#388—431no—
930#388—431no—
931#388—431no—
932#388—431no—
933#388—431no—
934#388—431no—
935#388—431no—
936#388—431no—
937#388—431no—
938#388—431no—
939#388—431no—
940#388—431no—
941#388—431no—
942#388—431no—
943#388—431no—
944#388—431no—
945#388—431no—
946#388C2×D4311yescharacteristic, complemented
947#388C2×D4311yescharacteristic, complemented
948#388C2×D4311yescharacteristic, complemented
949#388C2×D4311yescharacteristic, complemented
950#387—431no—
951#387—431no—
952#387—431no—
953#387—431no—
954#387—431no—
955#387—431no—
956#387—431no—
957#387C2×D4311yescharacteristic, complemented
958C4×C4⋊C4—431no—
959C4×C4⋊C4—431no—
960C4×C4⋊C4—431no—
961C4×C4⋊C4—431no—
962C4×C4⋊C4—431no—
963C4×C4⋊C4—431no—
964C4×C4⋊C4—431no—
965C4×C4⋊C4C2×D4311yescharacteristic, complemented
966C2×#95—431no—
967C2×#95—431no—
968C2×#95—431no—
969C2×#95—431no—
970C2×#95—431no—
971C2×#95—431no—
972C2×#95—431no—
973C2×#95—431no—
974C2×#95—431no—
975C2×#95—431no—
976C43C2×#265111yescharacteristic, complemented, Sylow
977C25—431no—
978C25—431no—
979C22×D4—431no—
980C22×D4—431no—
981C22×D4—431no—
982C22×D4—864no—
983C22×D4—1722no—
984C22×D4—1722no—
985C22×D4C22×D4311yescharacteristic
986C23×C4—431no—
987C23×C4—431no—
988C23×C4—431no—
989C23×C4—431no—
990C23×C4—431no—
991C23×C4—431no—
992C23×C4—431no—
993C23×C4—431no—
994C23×C4—431no—
995C23×C4—431no—
996C23×C4—431no—
997C23×C4—431no—
998C23×C4—431no—
999C2×C4⋊C4—431no—
1000C2×C4⋊C4—431no—
1001C2×C4⋊C4—431no—
1002C2×C4⋊C4—431no—
1003C2×C4⋊C4—431no—
1004C2×C4⋊C4—431no—
1005C2×C4⋊C4—431no—
1006C2×C4⋊C4—431no—
1007C2×C4⋊C4—431no—
1008C2×C4⋊C4—431no—
1009C2×C4⋊C4—431no—
1010C2×C4⋊C4—431no—
1011C2×C4⋊C4—431no—
1012C2×C4⋊C4—431no—
1013C2×C4⋊C4—431no—
1014C2×C4⋊C4—431no—
1015C2×C4⋊C4—431no—
1016C2×C4⋊C4—431no—
1017C2×C4⋊C4—431no—
1018C2×C4⋊C4—431no—
1019C2×C4⋊C4—431no—
1020C2×C4⋊C4—431no—
1021C2×C4⋊C4—431no—
1022C2×C4⋊C4—431no—
1023C2×C4⋊C4—431no—
1024C2×C4⋊C4—431no—
1025C2×C4⋊C4—431no—
1026C2×C4⋊C4—864no—
1027C2×C4⋊C4—864no—
1028C2×C4⋊C4—864no—
1029C2×C4⋊C4—1722no—
1030C2×C4⋊C4—1722no—
1031C2×C4⋊C4—1722no—
1032C2×C4⋊C4—1722no—
1033C2×C4⋊C4—1722no—
1034C2×C4⋊C4—1722no—
1035C2×C4⋊C4C22×D4311yescharacteristic
1036C2×C4⋊C4C22×D4311yescharacteristic
1037C2×C4⋊C4C22×D4311yescharacteristic
1038C2×C4⋊C4C22×D4311yescharacteristic
1039C2×C4⋊C4C22×D4311yescharacteristic
1040C2×C4⋊C4C22×D4311yescharacteristic
1041C2×C4⋊C4C22×D4311yescharacteristic
1042C2×C4⋊C4C22×D4311yescharacteristic
1043C2×C4⋊C4C22×D4311yescharacteristic
1044C2×C22⋊C4—431no—
1045C2×C22⋊C4—431no—
1046C2×C22⋊C4—431no—
1047C2×C22⋊C4—431no—
1048C2×C22⋊C4—431no—
1049C2×C22⋊C4—431no—
1050C2×C22⋊C4—431no—
1051C2×C22⋊C4—431no—
1052C2×C22⋊C4—431no—
1053C2×C22⋊C4—431no—
1054C2×C22⋊C4—431no—
1055C2×C22⋊C4—431no—
1056C2×C22⋊C4—431no—
1057C2×C22⋊C4—431no—
1058C2×C22⋊C4—431no—
1059C2×C22⋊C4—431no—
1060C2×C22⋊C4—431no—
1061C2×C22⋊C4—431no—
1062C2×C22⋊C4—431no—
1063C2×C22⋊C4—431no—
1064C2×C22⋊C4—431no—
1065C2×C22⋊C4—431no—
1066C2×C22⋊C4—431no—
1067C2×C22⋊C4—431no—
1068C2×C22⋊C4—431no—
1069C2×C22⋊C4—431no—
1070C2×C22⋊C4—431no—
1071C2×C22⋊C4—431no—
1072C2×C22⋊C4—431no—
1073C2×C22⋊C4—431no—
1074C2×C22⋊C4—431no—
1075C2×C22⋊C4—431no—
1076C2×C22⋊C4—431no—
1077C2×C22⋊C4—431no—
1078C2×C22⋊C4—431no—
1079C2×C22⋊C4—431no—
1080C2×C22⋊C4—864no—
1081C2×C22⋊C4—864no—
1082C2×C22⋊C4—864no—
1083C2×C22⋊C4—864no—
1084C2×C22⋊C4—1722no—
1085C2×C22⋊C4—1722no—
1086C2×C22⋊C4—1722no—
1087C2×C22⋊C4—1722no—
1088C2×C22⋊C4—1722no—
1089C2×C22⋊C4—1722no—
1090C2×C22⋊C4—1722no—
1091C2×C22⋊C4—1722no—
1092C2×C22⋊C4C22×D4311yescharacteristic
1093C2×C22⋊C4C22×D4311yescharacteristic
1094C2×C22⋊C4C22×D4311yescharacteristic
1095C2×C22⋊C4C22×D4311yescharacteristic
1096C2×C22⋊C4C22×D4311yescharacteristic
1097C2×C22⋊C4C22×D4311yescharacteristic
1098C2×C22⋊C4C22×D4311yescharacteristic
1099C2×C22⋊C4C22×D4311yescharacteristic
1100C2×C22⋊C4C22×D4311yescharacteristic
1101C2×C22⋊C4C22×D4311yescharacteristic
1102C2×C22⋊C4C22×D4311yescharacteristic
1103C2×C22⋊C4C22×D4311yescharacteristic
1104C2×C42—431no—
1105C2×C42—431no—
1106C2×C42—431no—
1107C2×C42—431no—
1108C2×C42—431no—
1109C2×C42—431no—
1110C2×C42—431no—
1111C2×C42—431no—
1112C2×C42—431no—
1113C2×C42—864no—
1114C2×C42—1722no—
1115C2×C42—1722no—
1116C2×C42C22×D4311yescharacteristic
1117C2×C42C22×D4311yescharacteristic
1118C2×C42C22×D4311yescharacteristic
1119#95—431no—
1120#95—431no—
1121#95—431no—
1122#95—431no—
1123#95—431no—
1124#95—431no—
1125#95—431no—
1126#95—431no—
1127#95—431no—
1128#95—431no—
1129#95—431no—
1130#95—431no—
1131#95—431no—
1132#95—431no—
1133#95—431no—
1134#95—431no—
1135#95—431no—
1136#95—431no—
1137#95—431no—
1138#95—431no—
1139#95—431no—
1140#95—431no—
1141#95—431no—
1142#95—431no—
1143#95—431no—
1144#95—431no—
1145#95—431no—
1146#95—431no—
1147#95—431no—
1148#95—431no—
1149#95C22×D4311yescharacteristic
1150#95C22×D4311yescharacteristic
1151#95C22×D4311yescharacteristic
1152#95C22×D4311yescharacteristic
1153#95C22×D4311yescharacteristic
1154#95C22×D4311yescharacteristic
1155#95C22×D4311yescharacteristic
1156#95C22×D4311yescharacteristic
1157#95C22×D4311yescharacteristic
1158#95C22×D4311yescharacteristic
1159C24—431no—
1160C24—431no—
1161C24—431no—
1162C24—862no—
1163C24—862no—
1164C24—862no—
1165C24—862no—
1166C24—862no—
1167C24—862no—
1168C24—862no—
1169C24—862no—
1170C24—862no—
1171C24—862no—
1172C24—862no—
1173C24—862no—
1174C24—862no—
1175C24—862no—
1176C24C23×D4311yescharacteristic
1177C24C23×D4311yescharacteristic
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—862no—
1182C2×D4—862no—
1183C2×D4—862no—
1184C2×D4—1721no—
1185C2×D4—1721no—
1186C2×D4—17216no—
1187C2×D4—1721no—
1188C2×D4—1721no—
1189C2×D4—1721no—
1190C2×D4—1721no—
1191C22×C4—431no—
1192C22×C4—431no—
1193C22×C4—431no—
1194C22×C4—434no—
1195C22×C4—434no—
1196C22×C4—434no—
1197C22×C4—431no—
1198C22×C4—431no—
1199C22×C4—431no—
1200C22×C4—431no—
1201C22×C4—431no—
1202C22×C4—431no—
1203C22×C4—431no—
1204C22×C4—431no—
1205C22×C4—431no—
1206C22×C4—431no—
1207C22×C4—862no—
1208C22×C4—862no—
1209C22×C4—862no—
1210C22×C4—862no—
1211C22×C4—862no—
1212C22×C4—862no—
1213C22×C4—862no—
1214C22×C4—862no—
1215C22×C4—862no—
1216C22×C4—862no—
1217C22×C4—862no—
1218C22×C4—862no—
1219C22×C4—862no—
1220C22×C4—862no—
1221C22×C4—862no—
1222C22×C4—862no—
1223C22×C4—862no—
1224C22×C4—862no—
1225C22×C4—862no—
1226C22×C4—862no—
1227C22×C4—862no—
1228C22×C4—862no—
1229C22×C4—862no—
1230C22×C4—862no—
1231C22×C4—862no—
1232C22×C4—862no—
1233C22×C4—862no—
1234C22×C4—862no—
1235C22×C4—862no—
1236C22×C4—862no—
1237C22×C4—862no—
1238C22×C4—862no—
1239C22×C4—862no—
1240C22×C4—862no—
1241C22×C4—862no—
1242C22×C4—862no—
1243C22×C4C23×D4311yescharacteristic
1244C22×C4C23×D4311yescharacteristic
1245C22×C4C23×D4311yescharacteristic
1246C22×C4C23×D4311yescharacteristic
1247C22×C4C23×D4311yescharacteristic
1248C22×C4C23×D4311yescharacteristic
1249C22×C4C23×D4311yescharacteristic
1250C22×C4C23×D4311yescharacteristic
1251C22×C4C23×D4311yescharacteristic
1252C22×C4C23×D4311yescharacteristic
1253C22×C4C23×D4311yescharacteristic
1254C22×C4C23×D4311yescharacteristic
1255C22×C4C23×D4311yescharacteristic
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—862no—
1266C4⋊C4—862no—
1267C4⋊C4—862no—
1268C4⋊C4—862no—
1269C4⋊C4—862no—
1270C4⋊C4—862no—
1271C4⋊C4—862no—
1272C4⋊C4—862no—
1273C4⋊C4—862no—
1274C4⋊C4—1721no—
1275C4⋊C4—1721no—
1276C4⋊C4—1721no—
1277C4⋊C4—1721no—
1278C4⋊C4—1721no—
1279C4⋊C4—1721no—
1280C4⋊C4—1721no—
1281C4⋊C4—1721no—
1282C4⋊C4—1721no—
1283C4⋊C4—1721no—
1284C4⋊C4—1721no—
1285C4⋊C4—1721no—
1286C4⋊C4—1721no—
1287C4⋊C4—1721no—
1288C4⋊C4—1721no—
1289C4⋊C4—1721no—
1290C4⋊C4—1721no—
1291C4⋊C4—1721no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—862no—
1305C22⋊C4—862no—
1306C22⋊C4—862no—
1307C22⋊C4—862no—
1308C22⋊C4—862no—
1309C22⋊C4—862no—
1310C22⋊C4—862no—
1311C22⋊C4—862no—
1312C22⋊C4—862no—
1313C22⋊C4—862no—
1314C22⋊C4—862no—
1315C22⋊C4—862no—
1316C22⋊C4—1721no—
1317C22⋊C4—1721no—
1318C22⋊C4—1721no—
1319C22⋊C4—1721no—
1320C22⋊C4—1721no—
1321C22⋊C4—1721no—
1322C22⋊C4—1721no—
1323C22⋊C4—1721no—
1324C22⋊C4—1721no—
1325C22⋊C4—1721no—
1326C22⋊C4—1721no—
1327C22⋊C4—1721no—
1328C22⋊C4—1721no—
1329C22⋊C4—1721no—
1330C22⋊C4—1721no—
1331C22⋊C4—1721no—
1332C22⋊C4—1721no—
1333C22⋊C4—1721no—
1334C22⋊C4—1721no—
1335C22⋊C4—1721no—
1336C22⋊C4—1721no—
1337C22⋊C4—1721no—
1338C22⋊C4—1721no—
1339C22⋊C4—1721no—
1340C42—22no—
1341C42—41no—
1342C42—41no—
1343C42—862no—
1344C42—862no—
1345C42—862no—
1346C42—1721no—
1347C42—1721no—
1348C42—1721no—
1349C42—1721no—
1350C42—1721no—
1351C42—1721no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—432no—
1367C23—432no—
1368C23—432no—
1369C23—432no—
1370C23—432no—
1371C23—432no—
1372C23—432no—
1373C23—861no—
1374C23—861no—
1375C23—861no—
1376C23—861no—
1377C23—861no—
1378C23—861no—
1379C23—861no—
1380C23—861no—
1381C23—861no—
1382C23—861no—
1383C23—861no—
1384C23—861no—
1385C23—861no—
1386C23—861no—
1387C23—1724no—
1388C23—1724no—
1389C23—1724no—
1390C23—1724no—
1391C23—1724no—
1392C23—1724no—
1393C23—1724no—
1394C23—1724no—
1395C23—1724no—
1396C23—1724no—
1397C23—1724no—
1398C23—1724no—
1399C23—1724no—
1400C23—1724no—
1401C23C24×D4311yescharacteristic
1402D4—44no—
1403D4—1724no—
1404D4—1724no—
1405D4—1724no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—432no—
1443C2×C4—432no—
1444C2×C4—432no—
1445C2×C4—868no—
1446C2×C4—868no—
1447C2×C4—868no—
1448C2×C4—861no—
1449C2×C4—861no—
1450C2×C4—861no—
1451C2×C4—861no—
1452C2×C4—861no—
1453C2×C4—861no—
1454C2×C4—861no—
1455C2×C4—861no—
1456C2×C4—861no—
1457C2×C4—861no—
1458C2×C4—861no—
1459C2×C4—861no—
1460C2×C4—861no—
1461C2×C4—861no—
1462C2×C4—861no—
1463C2×C4—861no—
1464C2×C4—861no—
1465C2×C4—861no—
1466C2×C4—861no—
1467C2×C4—861no—
1468C2×C4—861no—
1469C2×C4—861no—
1470C2×C4—861no—
1471C2×C4—861no—
1472C2×C4—861no—
1473C2×C4—861no—
1474C2×C4—861no—
1475C2×C4—861no—
1476C2×C4—861no—
1477C2×C4—861no—
1478C2×C4—861no—
1479C2×C4—861no—
1480C2×C4—861no—
1481C2×C4—861no—
1482C2×C4—861no—
1483C2×C4—861no—
1484C2×C4—1724no—
1485C2×C4—1724no—
1486C2×C4—1724no—
1487C2×C4—1724no—
1488C2×C4—1724no—
1489C2×C4—1724no—
1490C2×C4—1724no—
1491C2×C4—1724no—
1492C2×C4—1724no—
1493C2×C4—1724no—
1494C2×C4#41×D4312yes—
1495C2×C4#41×D4312yes—
1496C2×C4#41×D4312yes—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—434no—
1512C22—434no—
1513C22—434no—
1514C22—434no—
1515C22—434no—
1516C22—434no—
1517C22—434no—
1518C22—3448no—
1519C22—3448no—
1520C22—1721no—
1521C22—1721no—
1522C22—1721no—
1523C22—1721no—
1524C22—1721no—
1525C22—1721no—
1526C22—1721no—
1527C22—1721no—
1528C22—1721no—
1529C22—1721no—
1530C22—1721no—
1531C22—1721no—
1532C22—1721no—
1533C22—1721no—
1534C22C2×#41×D4311yescharacteristic
1535C22C2×#41×D4311yescharacteristic
1536C22C2×#41×D4311yescharacteristic
1537C22H(5,𝔽2)×D4311yescharacteristic
1538C22H(5,𝔽2)×D4311yescharacteristic
1539C22H(5,𝔽2)×D4311yescharacteristic
1540C222−1+4×D4311yescharacteristic
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—862no—
1555C4—862no—
1556C4—862no—
1557C4—1721no—
1558C4—1721no—
1559C4—1721no—
1560C4—1721no—
1561C4—1721no—
1562C4—1721no—
1563C4—1721no—
1564C4—1721no—
1565C4—1721no—
1566C4—1721no—
1567C2—81no—
1568C2—81no—
1569C2—438no—
1570C2—3441no—
1571C2—3441no—
1572C2#529×D4311yescharacteristic
1573C2#538×D4311yescharacteristic
1574C2#539×D4311yescharacteristic
1575C2#540×D4311yescharacteristic
1576C2#540×D4311yescharacteristic
1577C2#542×D4311yescharacteristic
1578C2#542×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2651C2
prime radicalC22×D4×D43C22
hypercenter#2651D43
hypocenterC43C2×#2651
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2651

Complements

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

NH ≅ G/Ntype
1. #19140635C2semidirect
2. #19140634C2semidirect
3. #19140633C2semidirect
4. #19140632C2semidirect
5. #19140631C2semidirect
6. #19140630C2semidirect
7. #19140629C2semidirect
8. #19140628C2semidirect
9. #19140627C2semidirect
10. #19140626C2semidirect
11. #19140625C2semidirect
12. #19140624C2semidirect
13. #19140623C2semidirect
14. #19140622C2semidirect
15. #19140621C2semidirect
16. #399×D43C2semidirect
17. #398×D43C2semidirect
18. #398×D43C2semidirect
19. #397×D43C2semidirect
20. #397×D43C2semidirect
21. #396×D43C2semidirect
25. #388×D43C2semidirect
26. #388×D43C2semidirect
27. #388×D43C2semidirect
28. #388×D43C2semidirect
29. #387×D43C2semidirect
30. C4×C4⋊C4×D43C2semidirect
31. C43×#2651C2semidirect
57. #14582836C22semidirect
58. #14582835C22semidirect
59. #14582835C22semidirect
60. #14582835C22semidirect
61. #14582834C22semidirect
62. #14582834C22semidirect
63. #14582834C22semidirect
64. #14582833C22semidirect
65. #14582833C22semidirect
66. #14582833C22semidirect
67. #14582833C22semidirect
68. #14582832C22semidirect
69. #14582832C22semidirect
70. #14582832C22semidirect
71. #14582832C22semidirect
72. #14582831C22semidirect
73. #14582831C22semidirect
74. #14582830C22semidirect
75. #14582830C22semidirect
76. #14582829C22semidirect
77. #14582829C22semidirect
78. #14582828C22semidirect
79. #14582828C22semidirect
80. #14582828C22semidirect
81. #14582828C22semidirect
82. #14582827C22semidirect
83. #14582827C22semidirect
84. #14582827C22semidirect
85. #14582827C22semidirect
86. #14582826C22semidirect
87. #14582826C22semidirect
88. #14582825C22semidirect
89. #14582825C22semidirect
90. #14582824C22semidirect
91. #14582824C22semidirect
92. #14582823C22semidirect
93. #14582822C22semidirect
94. #14582822C22semidirect
95. #14582822C22semidirect
96. #14582821C22semidirect
97. #14582821C22semidirect
98. #14582821C22semidirect
120. #14582793C22semidirect
121. #14582793C22semidirect
122. #14582793C22semidirect
123. #14582793C22semidirect
124. #14582792C22semidirect
125. #14582792C22semidirect
126. #14582792C22semidirect
127. #14582792C22semidirect
128. #14582791C22semidirect
129. #14582791C22semidirect
130. #14582791C22semidirect
131. #14582791C22semidirect
132. #14582790C22semidirect
133. #14582790C22semidirect
134. #14582790C22semidirect
135. #14582790C22semidirect
136. #14582789C22semidirect
137. #14582789C22semidirect
138. #14582789C22semidirect
139. #14582789C22semidirect
140. #14582788C22semidirect
141. #14582788C22semidirect
142. #14582788C22semidirect
143. #14582788C22semidirect
144. #14582787C22semidirect
145. #14582787C22semidirect
146. #14582787C22semidirect
147. #14582787C22semidirect
148. #14582786C22semidirect
149. #14582785C22semidirect
150. #14582784C22semidirect
151. #14582783C22semidirect
152. #14582782C22semidirect
153. #14582781C22semidirect
154. #14582780C22semidirect
155. C4⋊C4×Dic43C22semidirect
156. C4⋊C4×Dic43C22semidirect
157. C4×Dic43⋊C4C22semidirect
158. C4×Dic43⋊C4C22semidirect
159. C4×C4⋊Dic43C22semidirect
160. #14582750C22semidirect
161. #14582750C22semidirect
172. C43×#399C22semidirect
173. C43×#398C22semidirect
174. C43×#398C22semidirect
175. C43×#397C22semidirect
176. C43×#397C22semidirect
177. C43×#396C22semidirect
181. C43×#388C22semidirect
182. C43×#388C22semidirect
183. C43×#388C22semidirect
184. C43×#388C22semidirect
185. C43×#387C22semidirect
186. C4×C4⋊C4×C43C22semidirect
793. #2651D43direct (N × H)
820. D43#2651direct (N × H)
853. #399C2×D43semidirect
868. #398C2×D43semidirect
869. #398C2×D43semidirect
884. #397C2×D43semidirect
885. #397C2×D43semidirect
893. #396C2×D43semidirect
946. #388C2×D43semidirect
947. #388C2×D43semidirect
948. #388C2×D43semidirect
949. #388C2×D43semidirect
957. #387C2×D43semidirect
965. C4×C4⋊C4C2×D43semidirect
976. C43C2×#2651semidirect

Maximal subgroups

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

subgroupindex
#191406352
#191406342
#191406332
#191406322
#191406312
#191406302
#191406292
#191406282
#191406272
#191406262
#191406252
#191406242
#191406232
#191406222
#191406212
#399×D432
#398×D432
#397×D432
#396×D432
#394×D432
#390×D432
#388×D432
#387×D432
C4×C4⋊C4×D432
C43×#26512
C2×#265143