Finite Group Databasebeta

← D43×#2648 #25263052

Subgroups — D43×#2648 #25263052

Order 11008.

2654 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19140590C211yesmaximal, characteristic, complemented
2#19140589C211yesmaximal, characteristic, complemented
3#19140588C211yesmaximal, characteristic, complemented
4#19140587C211yesmaximal, characteristic, complemented
5#19140586C211yesmaximal, characteristic, complemented
6#19140585C211yesmaximal, characteristic, complemented
7#19140584C211yesmaximal, characteristic, complemented
8#19140583C211yesmaximal, characteristic, complemented
9#19140582C211yesmaximal, characteristic, complemented
10#19140581C211yesmaximal, characteristic, complemented
11#19140580C211yesmaximal, characteristic, complemented
12#19140579C211yesmaximal, characteristic, complemented
13#19140578C211yesmaximal, characteristic, complemented
14#19140577C211yesmaximal, characteristic, complemented
15#19140576C211yesmaximal, characteristic, complemented
16#400×D43C211yesmaximal, characteristic, complemented
17#397×D43C211yesmaximal, characteristic, complemented
18#397×D43C211yesmaximal, characteristic, complemented
19#396×D43C211yesmaximal, characteristic, complemented
20#394×D43C211yesmaximal, characteristic, complemented
21#394×D43C211yesmaximal, characteristic, complemented
22#394×D43C211yesmaximal, characteristic, complemented
23#392×D43C211yesmaximal, characteristic
24#390×D43C211yesmaximal, characteristic, complemented
25#388×D43C211yesmaximal, characteristic, complemented
26#388×D43C211yesmaximal, characteristic, complemented
27#387×D43C211yesmaximal, characteristic, complemented
28#386×D43C211yesmaximal, characteristic, complemented
29#386×D43C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D43C211yesmaximal, characteristic, complemented
31C43×#2648C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C22×D4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36C2×C4⋊C4×D43C2211yescharacteristic
37C2×C4⋊C4×D43C2211yescharacteristic
38C2×C4⋊C4×D43C2211yescharacteristic
39C2×C4⋊C4×D43C2211yescharacteristic
40C2×C4⋊C4×D43C2211yescharacteristic
41C2×C22⋊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×C22⋊C4×D43C2211yescharacteristic
55C2×C42×D43C2211yescharacteristic
56C2×C42×D43C2211yescharacteristic
57#14582841C2211yescharacteristic, complemented
58#14582841C2211yescharacteristic, complemented
59#14582840C2211yescharacteristic, complemented
60#14582840C2211yescharacteristic, complemented
61#14582839C2211yescharacteristic, complemented
62#14582838C2211yescharacteristic, complemented
63#14582837C2211yescharacteristic, complemented
64#14582828C2211yescharacteristic, complemented
65#14582828C2211yescharacteristic, complemented
66#14582828C2211yescharacteristic, complemented
67#14582828C2211yescharacteristic, complemented
68#14582827C2211yescharacteristic, complemented
69#14582827C2211yescharacteristic, complemented
70#14582827C2211yescharacteristic, complemented
71#14582827C2211yescharacteristic, complemented
72#14582826C2211yescharacteristic, complemented
73#14582826C2211yescharacteristic, complemented
74#14582825C2211yescharacteristic, complemented
75#14582825C2211yescharacteristic, complemented
76#14582824C2211yescharacteristic, complemented
77#14582824C2211yescharacteristic, complemented
78#14582823C2211yescharacteristic, complemented
79#14582822C2211yescharacteristic, complemented
80#14582822C2211yescharacteristic, complemented
81#14582822C2211yescharacteristic, complemented
82#14582821C2211yescharacteristic, complemented
83#14582821C2211yescharacteristic, complemented
84#14582821C2211yescharacteristic, complemented
85#14582817C2211yescharacteristic, complemented
86#14582817C2211yescharacteristic, complemented
87#14582817C2211yescharacteristic, complemented
88#14582816C2211yescharacteristic, complemented
89#14582816C2211yescharacteristic, complemented
90#14582816C2211yescharacteristic, complemented
91#14582815C2211yescharacteristic, complemented
92#14582815C2211yescharacteristic, complemented
93#14582815C2211yescharacteristic, complemented
94#14582815C2211yescharacteristic, complemented
95#14582815C2211yescharacteristic, complemented
96#14582815C2211yescharacteristic, complemented
97#14582814C2211yescharacteristic, complemented
98#14582814C2211yescharacteristic, complemented
99#14582814C2211yescharacteristic, complemented
100#14582814C2211yescharacteristic, complemented
101#14582814C2211yescharacteristic, complemented
102#14582814C2211yescharacteristic, complemented
103#14582813C2211yescharacteristic, complemented
104#14582813C2211yescharacteristic, complemented
105#14582813C2211yescharacteristic, complemented
106#14582809C2211yescharacteristic
107#14582808C2211yescharacteristic
108#14582808C2211yescharacteristic
109#14582808C2211yescharacteristic
110#14582807C2211yescharacteristic
111#14582807C2211yescharacteristic
112#14582807C2211yescharacteristic
113#14582802C2211yescharacteristic, complemented
114#14582801C2211yescharacteristic, complemented
115#14582800C2211yescharacteristic, complemented
116#14582799C2211yescharacteristic, complemented
117#14582799C2211yescharacteristic, complemented
118#14582799C2211yescharacteristic, complemented
119#14582799C2211yescharacteristic, complemented
120#14582793C2211yescharacteristic, complemented
121#14582793C2211yescharacteristic, complemented
122#14582792C2211yescharacteristic, complemented
123#14582792C2211yescharacteristic, complemented
124#14582791C2211yescharacteristic, complemented
125#14582791C2211yescharacteristic, complemented
126#14582790C2211yescharacteristic, complemented
127#14582790C2211yescharacteristic, complemented
128#14582789C2211yescharacteristic, complemented
129#14582789C2211yescharacteristic, complemented
130#14582788C2211yescharacteristic, complemented
131#14582788C2211yescharacteristic, complemented
132#14582787C2211yescharacteristic, complemented
133#14582787C2211yescharacteristic, complemented
134#14582786C2211yescharacteristic, complemented
135#14582785C2211yescharacteristic, complemented
136#14582784C2211yescharacteristic, complemented
137#14582783C2211yescharacteristic, complemented
138#14582782C2211yescharacteristic, complemented
139#14582781C2211yescharacteristic, complemented
140#14582780C2211yescharacteristic, complemented
141#14582779C2211yescharacteristic, complemented
142#14582779C2211yescharacteristic, complemented
143#14582778C2211yescharacteristic, complemented
144#14582778C2211yescharacteristic, complemented
145#14582777C2211yescharacteristic, complemented
146#14582777C2211yescharacteristic, complemented
147#14582777C2211yescharacteristic, complemented
148#14582777C2211yescharacteristic, complemented
149#14582776C2211yescharacteristic, complemented
150#14582776C2211yescharacteristic, complemented
151#14582775C2211yescharacteristic, complemented
152#14582775C2211yescharacteristic, complemented
153#14582775C2211yescharacteristic, complemented
154#14582775C2211yescharacteristic, complemented
155C22⋊C4×Dic43C2211yescharacteristic, complemented
156C22⋊C4×Dic43C2211yescharacteristic, complemented
157C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D43)⋊C4C2211yescharacteristic, complemented
159C4×C22⋊Dic43C2211yescharacteristic, complemented
160#14582746C2211yescharacteristic, complemented
161#14582746C2211yescharacteristic, 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×#400C2211yescharacteristic, complemented
173C43×#397C2211yescharacteristic, complemented
174C43×#397C2211yescharacteristic, complemented
175C43×#396C2211yescharacteristic, complemented
176C43×#394C2211yescharacteristic, complemented
177C43×#394C2211yescharacteristic, complemented
178C43×#394C2211yescharacteristic, complemented
179C43×#392C2211yescharacteristic
180C43×#390C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#388C2211yescharacteristic, complemented
183C43×#387C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic, complemented
186C4×C22⋊C4×C43C2211yescharacteristic, complemented
187C24×D43C2311yescharacteristic
188C24×D43C2311yescharacteristic
189C24×D43C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C2×D4×D43—24no—
200C2×D4×D43—24no—
201C2×D4×D43—24no—
202C2×D4×D43—42no—
203C2×D4×D43—42no—
204C2×D4×D43—42no—
205C2×D4×D43—42no—
206C2×D4×D43—42no—
207C2×D4×D43—42no—
208C23×Dic43C2311yescharacteristic
209C22×C4×D43—24no—
210C22×C4×D43—42no—
211C22×C4×D43—42no—
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217C22×C4×D43C2311yescharacteristic
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C2×C4⋊Dic43C2311yescharacteristic
227C2×C4⋊Dic43C2311yescharacteristic
228C2×C4⋊Dic43C2311yescharacteristic
229C2×C4⋊Dic43C2311yescharacteristic
230C2×C4⋊Dic43C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×Dic43⋊C4C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C4⋊C4×D43—24no—
242C4⋊C4×D43—42no—
243C4⋊C4×D43—42no—
244C4⋊C4×D43—42no—
245C4⋊C4×D43—42no—
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×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
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
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C22⋊C4×D43—24no—
289C22⋊C4×D43—24no—
290C22⋊C4×D43—24no—
291C22⋊C4×D43—24no—
292C22⋊C4×D43—42no—
293C22⋊C4×D43—42no—
294C22⋊C4×D43—42no—
295C22⋊C4×D43—42no—
296C22⋊C4×D43—42no—
297C22⋊C4×D43—42no—
298C22⋊C4×D43—42no—
299C22⋊C4×D43—42no—
300C22⋊C4×D43—42no—
301C22⋊C4×D43—42no—
302C2×C4×Dic43C2311yescharacteristic
303C2×C4×Dic43C2311yescharacteristic
304C2×C4×Dic43C2311yescharacteristic
305C2×C4×Dic43C2311yescharacteristic
306C2×C4×Dic43C2311yescharacteristic
307C2×C4×Dic43C2311yescharacteristic
308C42×D43—42no—
309C42×D43—42no—
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
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C22×D4×C43C2311yescharacteristic
341C22×D4×C43C2311yescharacteristic
342C22×D4×C43C2311yescharacteristic
343C23×C4×C43C2311yescharacteristic
344C2×C4⋊C4×C43C2311yescharacteristic
345C2×C4⋊C4×C43C2311yescharacteristic
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊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×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C22⋊C4×C43C2311yescharacteristic
359C2×C22⋊C4×C43C2311yescharacteristic
360C2×C22⋊C4×C43C2311yescharacteristic
361C2×C22⋊C4×C43C2311yescharacteristic
362C2×C22⋊C4×C43C2311yescharacteristic
363C2×C42×C43C2311yescharacteristic
364C2×C42×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375C24×C43C2411yescharacteristic
376C24×C43C2411yescharacteristic
377C24×C43C2411yescharacteristic
378C23×D43—22no—
379C23×D43—22no—
380C23×D43—22no—
381C23×D43—22no—
382C23×D43—22no—
383C23×D43—22no—
384C23×D43—22no—
385C23×D43—22no—
386C23×D43—22no—
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—22no—
391C23×D43—22no—
392C23×D43—22no—
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—22no—
398C23×D43#4114yes—
399C23×D43C2411yescharacteristic
400C23×D43C2411yescharacteristic
401C23×D43C2411yescharacteristic
402C23×D43C2411yescharacteristic
403C2×D4×C43—22no—
404C2×D4×C43—22no—
405C2×D4×C43—22no—
406C2×D4×C43—41no—
407C2×D4×C43—41no—
408C2×D4×C43—41no—
409C2×D4×C43—41no—
410C2×D4×C43—41no—
411C2×D4×C43—41no—
412C22×C4×C43—22no—
413C22×C4×C43—41no—
414C22×C4×C43—41no—
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C22×C4×C43C2411yescharacteristic
424C22×C4×C43C2411yescharacteristic
425C22×C4×C43C2411yescharacteristic
426C22×C4×C43C2411yescharacteristic
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—22no—
432C2×C22⋊D43—22no—
433C2×C22⋊D43—41no—
434C2×C22⋊D43—41no—
435C2×C22⋊D43—41no—
436C2×C22⋊D43—41no—
437C2×C22⋊D43—41no—
438C2×C22⋊D43—41no—
439C2×C22⋊D43—41no—
440C2×C22⋊D43—41no—
441C2×C22⋊D43—41no—
442C2×C22⋊D43—41no—
443C2×C22⋊D43—41no—
444C2×C22⋊D43—41no—
445C22×Dic43—22no—
446C22×Dic43—41no—
447C22×Dic43—41no—
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460D4×D43—416no—
461D4×D43—416no—
462D4×D43—416no—
463C2×D172—22no—
464C2×D172—22no—
465C2×D172—22no—
466C2×D172—41no—
467C2×D172—41no—
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×D172—41no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—22no—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—22no—
478C2×C4×D43—22no—
479C2×C4×D43—22no—
480C2×C4×D43—22no—
481C2×C4×D43—22no—
482C2×C4×D43—22no—
483C2×C4×D43—22no—
484C2×C4×D43—22no—
485C2×C4×D43—22no—
486C2×C4×D43—22no—
487C2×C4×D43—22no—
488C2×C4×D43—22no—
489C2×C4×D43—22no—
490C2×C4×D43—22no—
491C2×C4×D43—22no—
492C2×C4×D43—22no—
493C2×C4×D43—22no—
494C2×C4×D43—22no—
495C2×C4×D43—22no—
496C2×C4×D43—22no—
497C2×C4×D43—22no—
498C2×C4×D43—22no—
499C2×C4×D43—22no—
500C2×C4×D43—22no—
501C2×C4×D43—22no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—41no—
509C2×C4×D43—41no—
510C2×C4×D43—41no—
511C2×C4×D43—41no—
512C2×C4×D43—416no—
513C2×C4×D43#4114yes—
514C2×C4×D43#4114yes—
515C4⋊C4×C43—22no—
516C4⋊C4×C43—41no—
517C4⋊C4×C43—41no—
518C4⋊C4×C43—41no—
519C4⋊C4×C43—41no—
520C22⋊C4×C43—22no—
521C22⋊C4×C43—22no—
522C22⋊C4×C43—22no—
523C22⋊C4×C43—22no—
524C22⋊C4×C43—41no—
525C22⋊C4×C43—41no—
526C22⋊C4×C43—41no—
527C22⋊C4×C43—41no—
528C22⋊C4×C43—41no—
529C22⋊C4×C43—41no—
530C22⋊C4×C43—41no—
531C22⋊C4×C43—41no—
532C22⋊C4×C43—41no—
533C22⋊C4×C43—41no—
534C42×C43—41no—
535C42×C43—41no—
536C22⋊Dic43—22no—
537C22⋊Dic43—22no—
538C22⋊Dic43—22no—
539C22⋊Dic43—22no—
540C22⋊Dic43—41no—
541C22⋊Dic43—41no—
542C22⋊Dic43—41no—
543C22⋊Dic43—41no—
544C22⋊Dic43—41no—
545C22⋊Dic43—41no—
546C22⋊Dic43—41no—
547C22⋊Dic43—41no—
548C22⋊Dic43—41no—
549C22⋊Dic43—41no—
550(C2×D43)⋊C4—22no—
551(C2×D43)⋊C4—22no—
552(C2×D43)⋊C4—22no—
553(C2×D43)⋊C4—22no—
554(C2×D43)⋊C4—22no—
555(C2×D43)⋊C4—22no—
556(C2×D43)⋊C4—22no—
557(C2×D43)⋊C4—22no—
558(C2×D43)⋊C4—41no—
559(C2×D43)⋊C4—41no—
560(C2×D43)⋊C4—41no—
561(C2×D43)⋊C4—41no—
562(C2×D43)⋊C4—41no—
563(C2×D43)⋊C4—41no—
564(C2×D43)⋊C4—41no—
565(C2×D43)⋊C4—41no—
566(C2×D43)⋊C4—41no—
567(C2×D43)⋊C4—41no—
568(C2×D43)⋊C4—41no—
569(C2×D43)⋊C4—41no—
570(C2×D43)⋊C4—41no—
571(C2×D43)⋊C4—41no—
572(C2×D43)⋊C4—41no—
573(C2×D43)⋊C4—41no—
574(C2×D43)⋊C4—41no—
575(C2×D43)⋊C4—41no—
576(C2×D43)⋊C4—41no—
577(C2×D43)⋊C4—41no—
578C4⋊Dic43—22no—
579C4⋊Dic43—41no—
580C4⋊Dic43—41no—
581C4⋊Dic43—41no—
582C4⋊Dic43—41no—
583Dic43⋊C4—22no—
584Dic43⋊C4—22no—
585Dic43⋊C4—41no—
586Dic43⋊C4—41no—
587Dic43⋊C4—41no—
588Dic43⋊C4—41no—
589Dic43⋊C4—41no—
590Dic43⋊C4—41no—
591Dic43⋊C4—41no—
592Dic43⋊C4—41no—
593C4×Dic43—41no—
594C4×Dic43—41no—
595C4×Dic43—41no—
596C4×Dic43—41no—
597C4×Dic43—41no—
598C4×Dic43—41no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—21no—
612C23×C43—21no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43C2×#4112yes—
620C23×C43C2511yescharacteristic
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—28no—
628C22×D43—28no—
629C22×D43—28no—
630C22×D43—21no—
631C22×D43—21no—
632C22×D43—21no—
633C22×D43—21no—
634C22×D43—21no—
635C22×D43—21no—
636C22×D43—21no—
637C22×D43—21no—
638C22×D43—21no—
639C22×D43—21no—
640C22×D43—21no—
641C22×D43—21no—
642C22×D43—21no—
643C22×D43—21no—
644C22×D43—44no—
645C22×D43—44no—
646C22×D43—44no—
647C22×D43—44no—
648C22×D43—44no—
649C22×D43—44no—
650C22×D43—44no—
651C22×D43—44no—
652C22×D43—44no—
653C22×D43—44no—
654C22×D43—44no—
655C22×D43—44no—
656C22×D43—44no—
657C22×D43—44no—
658C22×D43—44no—
659C22×D43—44no—
660C22×D43—44no—
661C22×D43—44no—
662C22×D43C2×#4112yes—
663C22×D43C2×#4112yes—
664C22×D43C2×#4112yes—
665C22×D43C2×#4112yes—
666C22×D43H(5,𝔽2)12yes—
667C22×D43H(5,𝔽2)12yes—
668C22×D43H(5,𝔽2)12yes—
669C22×D43H(5,𝔽2)12yes—
670D4×C43—44no—
671D4×C43—44no—
672D4×C43—44no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—44no—
708C2×C4×C43C2×#4112yes—
709C2×C4×C43C2×#4112yes—
710C22⋊D43—44no—
711C22⋊D43—44no—
712C22⋊D43—44no—
713C22⋊D43—44no—
714C22⋊D43—44no—
715C22⋊D43—44no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—44no—
751C2×Dic43C2×#4112yes—
752C2×Dic43C2×#4112yes—
753D172—44no—
754D172—44no—
755D172—44no—
756C4×D43—28no—
757C4×D43—28no—
758C4×D43—44no—
759C4×D43—44no—
760C4×D43—44no—
761C4×D43—44no—
762C4×D43—44no—
763C4×D43—44no—
764C4×D43—44no—
765C4×D43—44no—
766C4×D43—44no—
767C4×D43—44no—
768C4×D43—44no—
769C4×D43—44no—
770C2×#2648—431nomaximal, Sylow
771C22×C43—22no—
772C22×C43—22no—
773C22×C43—22no—
774C22×C43—41no—
775C22×C43—41no—
776C22×C43—41no—
777C22×C43—41no—
778C22×C43—41no—
779C22×C43—41no—
780C22×C43—41no—
781C22×C43—41no—
782C22×C43—41no—
783C22×C43—41no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43C22×#4111yescharacteristic
793C22×C43C22×#4111yescharacteristic
794C22×C43C22×#4111yescharacteristic
795C22×C43C2×H(5,𝔽2)11yescharacteristic
796C22×C43C2×H(5,𝔽2)11yescharacteristic
797C22×C43C2×H(5,𝔽2)11yescharacteristic
798C22×C43C2×H(5,𝔽2)11yescharacteristic
799C2×D43—22no—
800C2×D43—22no—
801C2×D43—22no—
802C2×D43—41no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43—41no—
806C2×D43—416no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—88no—
822C2×D43—88no—
823C2×D43#52914yes—
824C2×D43#53814yes—
825C2×D43#53814yes—
826C2×D43#53814yes—
827C2×D43#53814yes—
828C2×D43#54014yes—
829C2×D43#54014yes—
830C4×C43—22no—
831C4×C43—22no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43—41no—
840C4×C43—41no—
841C4×C43—41no—
842Dic43—22no—
843Dic43—22no—
844Dic43—41no—
845Dic43—41no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852Dic43—41no—
853Dic43—41no—
854#2648—431no—
855#2648—431no—
856#2648—431no—
857#2648—431no—
858#2648—431no—
859#2648—431no—
860#2648—431no—
861#2648—431no—
862#2648—431no—
863#2648—431no—
864#2648—431no—
865#2648—431no—
866#2648—431no—
867#2648—431no—
868#2648—431no—
869#2648D4311yescharacteristic, direct product factor
870C2×#400—431no—
871C2×#397—431no—
872C2×#397—431no—
873C2×#396—431no—
874C2×#394—431no—
875C2×#394—431no—
876C2×#394—431no—
877C2×#392—431no—
878C2×#390—431no—
879C2×#388—431no—
880C2×#388—431no—
881C2×#387—431no—
882C2×#386—431no—
883C2×#386—431no—
884C2×C4×C22⋊C4—431no—
885C2×C43—42no—
886C2×C43—81no—
887C2×C43—81no—
888C2×C43C2×#52911yescharacteristic
889C2×C43C2×#53811yescharacteristic
890C2×C43C2×#53811yescharacteristic
891C2×C43C2×#53811yescharacteristic
892C2×C43C2×#53811yescharacteristic
893C2×C43C2×#54011yescharacteristic
894C2×C43C2×#54011yescharacteristic
895D43—42no—
896D43—81no—
897D43—81no—
898D43#264818yesdirect product factor
899C23×D4—431no—
900C23×D4—431no—
901C23×D4—431no—
902C24×C4—431no—
903C22×C4⋊C4—431no—
904C22×C4⋊C4—431no—
905C22×C4⋊C4—431no—
906C22×C4⋊C4—431no—
907C22×C4⋊C4—431no—
908C22×C22⋊C4—431no—
909C22×C22⋊C4—431no—
910C22×C22⋊C4—431no—
911C22×C22⋊C4—431no—
912C22×C22⋊C4—431no—
913C22×C22⋊C4—431no—
914C22×C22⋊C4—431no—
915C22×C22⋊C4—431no—
916C22×C22⋊C4—431no—
917C22×C22⋊C4—431no—
918C22×C22⋊C4—431no—
919C22×C22⋊C4—431no—
920C22×C22⋊C4—431no—
921C22×C22⋊C4—431no—
922C22×C42—431no—
923C22×C42—431no—
924#400—431no—
925#400—431no—
926#400—431no—
927#400—431no—
928#400—431no—
929#400—431no—
930#400—431no—
931#400C2×D4311yescharacteristic, complemented
932#397—431no—
933#397—431no—
934#397—431no—
935#397—431no—
936#397—431no—
937#397—431no—
938#397—431no—
939#397—431no—
940#397—431no—
941#397—431no—
942#397—431no—
943#397—431no—
944#397—431no—
945#397—431no—
946#397C2×D4311yescharacteristic, complemented
947#397C2×D4311yescharacteristic, complemented
948#396—431no—
949#396—431no—
950#396—431no—
951#396—431no—
952#396—431no—
953#396—431no—
954#396—431no—
955#396C2×D4311yescharacteristic, complemented
956#394—431no—
957#394—431no—
958#394—431no—
959#394—431no—
960#394—431no—
961#394—431no—
962#394—431no—
963#394—431no—
964#394—431no—
965#394—431no—
966#394—431no—
967#394—431no—
968#394—431no—
969#394—431no—
970#394—431no—
971#394—431no—
972#394—431no—
973#394—431no—
974#394—431no—
975#394—431no—
976#394—431no—
977#394C2×D4311yescharacteristic, complemented
978#394C2×D4311yescharacteristic, complemented
979#394C2×D4311yescharacteristic, complemented
980#392—431no—
981#392—431no—
982#392—431no—
983#392—431no—
984#392—431no—
985#392—431no—
986#392—431no—
987#392C2×D4311yescharacteristic
988#390—431no—
989#390—431no—
990#390—431no—
991#390—431no—
992#390—431no—
993#390—431no—
994#390—431no—
995#390C2×D4311yescharacteristic, complemented
996#388—431no—
997#388—431no—
998#388—431no—
999#388—431no—
1000#388—431no—
1001#388—431no—
1002#388—431no—
1003#388—431no—
1004#388—431no—
1005#388—431no—
1006#388—431no—
1007#388—431no—
1008#388—431no—
1009#388—431no—
1010#388C2×D4311yescharacteristic, complemented
1011#388C2×D4311yescharacteristic, complemented
1012#387—431no—
1013#387—431no—
1014#387—431no—
1015#387—431no—
1016#387—431no—
1017#387—431no—
1018#387—431no—
1019#387C2×D4311yescharacteristic, complemented
1020#386—431no—
1021#386—431no—
1022#386—431no—
1023#386—431no—
1024#386—431no—
1025#386—431no—
1026#386—431no—
1027#386—431no—
1028#386—431no—
1029#386—431no—
1030#386—431no—
1031#386—431no—
1032#386—431no—
1033#386—431no—
1034#386C2×D4311yescharacteristic, complemented
1035#386C2×D4311yescharacteristic, complemented
1036C4×C22⋊C4—431no—
1037C4×C22⋊C4—431no—
1038C4×C22⋊C4—431no—
1039C4×C22⋊C4—431no—
1040C4×C22⋊C4—431no—
1041C4×C22⋊C4—431no—
1042C4×C22⋊C4—431no—
1043C4×C22⋊C4C2×D4311yescharacteristic, complemented
1044C2×#95—431no—
1045C2×#95—431no—
1046C2×#95—431no—
1047C2×#95—431no—
1048C2×#95—431no—
1049C2×#95—431no—
1050C2×#95—431no—
1051C2×#95—431no—
1052C2×#95—431no—
1053C2×#95—431no—
1054C43C2×#264811yescharacteristic, complemented, Sylow
1055C25—431no—
1056C25—431no—
1057C25—431no—
1058C22×D4—431no—
1059C22×D4—431no—
1060C22×D4—431no—
1061C22×D4—431no—
1062C22×D4—431no—
1063C22×D4—431no—
1064C22×D4—431no—
1065C22×D4—431no—
1066C22×D4—431no—
1067C22×D4—864no—
1068C22×D4—864no—
1069C22×D4—864no—
1070C22×D4—1722no—
1071C22×D4—1722no—
1072C22×D4—1722no—
1073C22×D4—1722no—
1074C22×D4—1722no—
1075C22×D4—1722no—
1076C22×D4C22×D4311yescharacteristic
1077C22×D4C22×D4311yescharacteristic
1078C22×D4C22×D4311yescharacteristic
1079C23×C4—431no—
1080C23×C4—431no—
1081C23×C4—431no—
1082C23×C4—431no—
1083C23×C4—431no—
1084C23×C4—431no—
1085C23×C4—431no—
1086C23×C4—431no—
1087C23×C4—431no—
1088C23×C4—431no—
1089C23×C4—431no—
1090C23×C4—431no—
1091C23×C4—431no—
1092C23×C4—431no—
1093C23×C4—431no—
1094C23×C4—864no—
1095C23×C4—1722no—
1096C23×C4—1722no—
1097C23×C4C22×D4311yescharacteristic
1098C2×C4⋊C4—431no—
1099C2×C4⋊C4—431no—
1100C2×C4⋊C4—431no—
1101C2×C4⋊C4—431no—
1102C2×C4⋊C4—431no—
1103C2×C4⋊C4—431no—
1104C2×C4⋊C4—431no—
1105C2×C4⋊C4—431no—
1106C2×C4⋊C4—431no—
1107C2×C4⋊C4—431no—
1108C2×C4⋊C4—431no—
1109C2×C4⋊C4—431no—
1110C2×C4⋊C4—431no—
1111C2×C4⋊C4—431no—
1112C2×C4⋊C4—431no—
1113C2×C4⋊C4—864no—
1114C2×C4⋊C4—1722no—
1115C2×C4⋊C4—1722no—
1116C2×C4⋊C4—1722no—
1117C2×C4⋊C4—1722no—
1118C2×C4⋊C4C22×D4311yescharacteristic
1119C2×C4⋊C4C22×D4311yescharacteristic
1120C2×C4⋊C4C22×D4311yescharacteristic
1121C2×C4⋊C4C22×D4311yescharacteristic
1122C2×C4⋊C4C22×D4311yescharacteristic
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4—431no—
1137C2×C22⋊C4—431no—
1138C2×C22⋊C4—431no—
1139C2×C22⋊C4—431no—
1140C2×C22⋊C4—431no—
1141C2×C22⋊C4—431no—
1142C2×C22⋊C4—431no—
1143C2×C22⋊C4—431no—
1144C2×C22⋊C4—431no—
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—431no—
1147C2×C22⋊C4—431no—
1148C2×C22⋊C4—431no—
1149C2×C22⋊C4—431no—
1150C2×C22⋊C4—431no—
1151C2×C22⋊C4—431no—
1152C2×C22⋊C4—431no—
1153C2×C22⋊C4—431no—
1154C2×C22⋊C4—431no—
1155C2×C22⋊C4—431no—
1156C2×C22⋊C4—431no—
1157C2×C22⋊C4—431no—
1158C2×C22⋊C4—431no—
1159C2×C22⋊C4—431no—
1160C2×C22⋊C4—431no—
1161C2×C22⋊C4—431no—
1162C2×C22⋊C4—431no—
1163C2×C22⋊C4—431no—
1164C2×C22⋊C4—431no—
1165C2×C22⋊C4—864no—
1166C2×C22⋊C4—864no—
1167C2×C22⋊C4—864no—
1168C2×C22⋊C4—864no—
1169C2×C22⋊C4—1722no—
1170C2×C22⋊C4—1722no—
1171C2×C22⋊C4—1722no—
1172C2×C22⋊C4—1722no—
1173C2×C22⋊C4—1722no—
1174C2×C22⋊C4—1722no—
1175C2×C22⋊C4—1722no—
1176C2×C22⋊C4—1722no—
1177C2×C22⋊C4—1722no—
1178C2×C22⋊C4—1722no—
1179C2×C22⋊C4C22×D4311yescharacteristic
1180C2×C22⋊C4C22×D4311yescharacteristic
1181C2×C22⋊C4C22×D4311yescharacteristic
1182C2×C22⋊C4C22×D4311yescharacteristic
1183C2×C22⋊C4C22×D4311yescharacteristic
1184C2×C22⋊C4C22×D4311yescharacteristic
1185C2×C22⋊C4C22×D4311yescharacteristic
1186C2×C22⋊C4C22×D4311yescharacteristic
1187C2×C22⋊C4C22×D4311yescharacteristic
1188C2×C22⋊C4C22×D4311yescharacteristic
1189C2×C22⋊C4C22×D4311yescharacteristic
1190C2×C22⋊C4C22×D4311yescharacteristic
1191C2×C22⋊C4C22×D4311yescharacteristic
1192C2×C22⋊C4C22×D4311yescharacteristic
1193C2×C42—431no—
1194C2×C42—431no—
1195C2×C42—431no—
1196C2×C42—431no—
1197C2×C42—431no—
1198C2×C42—431no—
1199C2×C42—1722no—
1200C2×C42—1722no—
1201C2×C42C22×D4311yescharacteristic
1202C2×C42C22×D4311yescharacteristic
1203#95—431no—
1204#95—431no—
1205#95—431no—
1206#95—431no—
1207#95—431no—
1208#95—431no—
1209#95—431no—
1210#95—431no—
1211#95—431no—
1212#95—431no—
1213#95—431no—
1214#95—431no—
1215#95—431no—
1216#95—431no—
1217#95—431no—
1218#95—431no—
1219#95—431no—
1220#95—431no—
1221#95—431no—
1222#95—431no—
1223#95—431no—
1224#95—431no—
1225#95—431no—
1226#95—431no—
1227#95—431no—
1228#95—431no—
1229#95—431no—
1230#95—431no—
1231#95—431no—
1232#95—431no—
1233#95C22×D4311yescharacteristic
1234#95C22×D4311yescharacteristic
1235#95C22×D4311yescharacteristic
1236#95C22×D4311yescharacteristic
1237#95C22×D4311yescharacteristic
1238#95C22×D4311yescharacteristic
1239#95C22×D4311yescharacteristic
1240#95C22×D4311yescharacteristic
1241#95C22×D4311yescharacteristic
1242#95C22×D4311yescharacteristic
1243C24—431no—
1244C24—434no—
1245C24—431no—
1246C24—431no—
1247C24—431no—
1248C24—862no—
1249C24—862no—
1250C24—862no—
1251C24—862no—
1252C24—862no—
1253C24—862no—
1254C24—862no—
1255C24—862no—
1256C24—862no—
1257C24—862no—
1258C24—862no—
1259C24—862no—
1260C24—862no—
1261C24—862no—
1262C24—862no—
1263C24—862no—
1264C24—862no—
1265C24—862no—
1266C24—862no—
1267C24—862no—
1268C24C23×D4311yescharacteristic
1269C24C23×D4311yescharacteristic
1270C24C23×D4311yescharacteristic
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—862no—
1281C2×D4—862no—
1282C2×D4—862no—
1283C2×D4—862no—
1284C2×D4—862no—
1285C2×D4—862no—
1286C2×D4—862no—
1287C2×D4—862no—
1288C2×D4—862no—
1289C2×D4—1721no—
1290C2×D4—1721no—
1291C2×D4—1721no—
1292C2×D4—1721no—
1293C2×D4—1721no—
1294C2×D4—1721no—
1295C2×D4—17216no—
1296C2×D4—1721no—
1297C2×D4—1721no—
1298C2×D4—1721no—
1299C2×D4—1721no—
1300C2×D4—1721no—
1301C2×D4—1721no—
1302C2×D4—1721no—
1303C2×D4—1721no—
1304C2×D4—1721no—
1305C2×D4—1721no—
1306C2×D4—1721no—
1307C2×D4—1721no—
1308C2×D4—17216no—
1309C2×D4—17216no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—431no—
1314C22×C4—431no—
1315C22×C4—434no—
1316C22×C4—434no—
1317C22×C4—431no—
1318C22×C4—431no—
1319C22×C4—431no—
1320C22×C4—431no—
1321C22×C4—431no—
1322C22×C4—431no—
1323C22×C4—431no—
1324C22×C4—431no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—862no—
1328C22×C4—862no—
1329C22×C4—862no—
1330C22×C4—862no—
1331C22×C4—862no—
1332C22×C4—862no—
1333C22×C4—862no—
1334C22×C4—862no—
1335C22×C4—862no—
1336C22×C4—862no—
1337C22×C4—862no—
1338C22×C4—862no—
1339C22×C4—862no—
1340C22×C4—862no—
1341C22×C4—862no—
1342C22×C4—862no—
1343C22×C4—862no—
1344C22×C4—862no—
1345C22×C4—862no—
1346C22×C4—862no—
1347C22×C4—862no—
1348C22×C4—862no—
1349C22×C4—862no—
1350C22×C4—862no—
1351C22×C4—862no—
1352C22×C4—862no—
1353C22×C4—862no—
1354C22×C4—862no—
1355C22×C4—862no—
1356C22×C4—862no—
1357C22×C4—862no—
1358C22×C4—862no—
1359C22×C4—862no—
1360C22×C4—862no—
1361C22×C4—862no—
1362C22×C4—862no—
1363C22×C4—862no—
1364C22×C4—1721no—
1365C22×C4—1721no—
1366C22×C4—1721no—
1367C22×C4—1721no—
1368C22×C4—17216no—
1369C22×C4—1721no—
1370C22×C4—1721no—
1371C22×C4C23×D4311yescharacteristic
1372C22×C4C23×D4311yescharacteristic
1373C22×C4C23×D4311yescharacteristic
1374C22×C4C23×D4311yescharacteristic
1375C22×C4C23×D4311yescharacteristic
1376C22×C4C23×D4311yescharacteristic
1377C22×C4C23×D4311yescharacteristic
1378C22×C4C23×D4311yescharacteristic
1379C22×C4C23×D4311yescharacteristic
1380C22×C4C23×D4311yescharacteristic
1381C22×C4C23×D4311yescharacteristic
1382C22×C4C23×D4311yescharacteristic
1383C4⋊C4—22no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—862no—
1389C4⋊C4—862no—
1390C4⋊C4—862no—
1391C4⋊C4—1721no—
1392C4⋊C4—1721no—
1393C4⋊C4—1721no—
1394C4⋊C4—1721no—
1395C4⋊C4—1721no—
1396C4⋊C4—1721no—
1397C4⋊C4—1721no—
1398C4⋊C4—1721no—
1399C4⋊C4—1721no—
1400C4⋊C4—1721no—
1401C4⋊C4—1721no—
1402C4⋊C4—1721no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—862no—
1418C22⋊C4—862no—
1419C22⋊C4—862no—
1420C22⋊C4—862no—
1421C22⋊C4—862no—
1422C22⋊C4—862no—
1423C22⋊C4—862no—
1424C22⋊C4—862no—
1425C22⋊C4—862no—
1426C22⋊C4—862no—
1427C22⋊C4—862no—
1428C22⋊C4—862no—
1429C22⋊C4—1721no—
1430C22⋊C4—1721no—
1431C22⋊C4—1721no—
1432C22⋊C4—1721no—
1433C22⋊C4—1721no—
1434C22⋊C4—1721no—
1435C22⋊C4—1721no—
1436C22⋊C4—1721no—
1437C22⋊C4—1721no—
1438C22⋊C4—1721no—
1439C22⋊C4—1721no—
1440C22⋊C4—1721no—
1441C22⋊C4—1721no—
1442C22⋊C4—1721no—
1443C22⋊C4—1721no—
1444C22⋊C4—1721no—
1445C22⋊C4—1721no—
1446C22⋊C4—1721no—
1447C22⋊C4—1721no—
1448C22⋊C4—1721no—
1449C22⋊C4—1721no—
1450C22⋊C4—1721no—
1451C22⋊C4—1721no—
1452C22⋊C4—1721no—
1453C22⋊C4—1721no—
1454C22⋊C4—1721no—
1455C22⋊C4—1721no—
1456C22⋊C4—1721no—
1457C22⋊C4—1721no—
1458C22⋊C4—1721no—
1459C42—41no—
1460C42—41no—
1461C42—1721no—
1462C42—1721no—
1463C42—1721no—
1464C42—1721no—
1465C42—1721no—
1466C42—1721no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—432no—
1488C23—432no—
1489C23—432no—
1490C23—432no—
1491C23—432no—
1492C23—432no—
1493C23—432no—
1494C23—432no—
1495C23—868no—
1496C23—868no—
1497C23—868no—
1498C23—861no—
1499C23—861no—
1500C23—861no—
1501C23—861no—
1502C23—861no—
1503C23—861no—
1504C23—861no—
1505C23—861no—
1506C23—861no—
1507C23—861no—
1508C23—861no—
1509C23—861no—
1510C23—861no—
1511C23—861no—
1512C23—861no—
1513C23—861no—
1514C23—861no—
1515C23—861no—
1516C23—861no—
1517C23—861no—
1518C23—1724no—
1519C23—1724no—
1520C23—1724no—
1521C23—1724no—
1522C23—1724no—
1523C23—1724no—
1524C23—1724no—
1525C23—1724no—
1526C23—1724no—
1527C23—1724no—
1528C23—1724no—
1529C23—1724no—
1530C23—1724no—
1531C23—1724no—
1532C23—1724no—
1533C23—1724no—
1534C23—1724no—
1535C23—1724no—
1536C23#41×D4312yes—
1537C23C24×D4311yescharacteristic
1538D4—44no—
1539D4—44no—
1540D4—44no—
1541D4—1724no—
1542D4—1724no—
1543D4—1724no—
1544D4—1724no—
1545D4—1724no—
1546D4—1724no—
1547D4—1724no—
1548D4—1724no—
1549D4—1724no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—44no—
1585C2×C4—432no—
1586C2×C4—432no—
1587C2×C4—868no—
1588C2×C4—868no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—861no—
1609C2×C4—861no—
1610C2×C4—861no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—861no—
1622C2×C4—861no—
1623C2×C4—1724no—
1624C2×C4—1724no—
1625C2×C4—1724no—
1626C2×C4—1724no—
1627C2×C4—1724no—
1628C2×C4—1724no—
1629C2×C4—1724no—
1630C2×C4—1724no—
1631C2×C4—1724no—
1632C2×C4—1724no—
1633C2×C4—1724no—
1634C2×C4—1724no—
1635C2×C4—1724no—
1636C2×C4#41×D4312yes—
1637C2×C4#41×D4312yes—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—434no—
1660C22—434no—
1661C22—434no—
1662C22—434no—
1663C22—434no—
1664C22—434no—
1665C22—434no—
1666C22—862no—
1667C22—862no—
1668C22—862no—
1669C22—3448no—
1670C22—3448no—
1671C22—17216no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
1675C22—1721no—
1676C22—1721no—
1677C22—1721no—
1678C22—1721no—
1679C22—1721no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22—1721no—
1688C22—1721no—
1689C22—1721no—
1690C22C2×#41×D4311yescharacteristic
1691C22C2×#41×D4311yescharacteristic
1692C22C2×#41×D4311yescharacteristic
1693C22H(5,𝔽2)×D4311yescharacteristic
1694C22H(5,𝔽2)×D4311yescharacteristic
1695C22H(5,𝔽2)×D4311yescharacteristic
1696C22H(5,𝔽2)×D4311yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—862no—
1710C4—862no—
1711C4—1721no—
1712C4—1721no—
1713C4—1721no—
1714C4—1721no—
1715C4—1721no—
1716C4—1721no—
1717C4—1721no—
1718C4—1721no—
1719C4—1721no—
1720C4—1721no—
1721C2—42no—
1722C2—81no—
1723C2—81no—
1724C2—438no—
1725C2—3441no—
1726C2—3441no—
1727C2—1722no—
1728C2#529×D4311yescharacteristic
1729C2#538×D4311yescharacteristic
1730C2#538×D4311yescharacteristic
1731C2#538×D4311yescharacteristic
1732C2#538×D4311yescharacteristic
1733C2#540×D4311yescharacteristic
1734C2#540×D4311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2648C2
prime radical#392×D43C2
hypercenter#2648D43
hypocenterC43C2×#2648
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2648

Complements

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

NH ≅ G/Ntype
1. #19140590C2semidirect
2. #19140589C2semidirect
3. #19140588C2semidirect
4. #19140587C2semidirect
5. #19140586C2semidirect
6. #19140585C2semidirect
7. #19140584C2semidirect
8. #19140583C2semidirect
9. #19140582C2semidirect
10. #19140581C2semidirect
11. #19140580C2semidirect
12. #19140579C2semidirect
13. #19140578C2semidirect
14. #19140577C2semidirect
15. #19140576C2semidirect
16. #400×D43C2semidirect
17. #397×D43C2semidirect
18. #397×D43C2semidirect
19. #396×D43C2semidirect
20. #394×D43C2semidirect
21. #394×D43C2semidirect
22. #394×D43C2semidirect
24. #390×D43C2semidirect
25. #388×D43C2semidirect
26. #388×D43C2semidirect
27. #387×D43C2semidirect
28. #386×D43C2semidirect
29. #386×D43C2semidirect
30. C4×C22⋊C4×D43C2semidirect
31. C43×#2648C2semidirect
57. #14582841C22semidirect
58. #14582841C22semidirect
59. #14582840C22semidirect
60. #14582840C22semidirect
61. #14582839C22semidirect
62. #14582838C22semidirect
63. #14582837C22semidirect
64. #14582828C22semidirect
65. #14582828C22semidirect
66. #14582828C22semidirect
67. #14582828C22semidirect
68. #14582827C22semidirect
69. #14582827C22semidirect
70. #14582827C22semidirect
71. #14582827C22semidirect
72. #14582826C22semidirect
73. #14582826C22semidirect
74. #14582825C22semidirect
75. #14582825C22semidirect
76. #14582824C22semidirect
77. #14582824C22semidirect
78. #14582823C22semidirect
79. #14582822C22semidirect
80. #14582822C22semidirect
81. #14582822C22semidirect
82. #14582821C22semidirect
83. #14582821C22semidirect
84. #14582821C22semidirect
85. #14582817C22semidirect
86. #14582817C22semidirect
87. #14582817C22semidirect
88. #14582816C22semidirect
89. #14582816C22semidirect
90. #14582816C22semidirect
91. #14582815C22semidirect
92. #14582815C22semidirect
93. #14582815C22semidirect
94. #14582815C22semidirect
95. #14582815C22semidirect
96. #14582815C22semidirect
97. #14582814C22semidirect
98. #14582814C22semidirect
99. #14582814C22semidirect
100. #14582814C22semidirect
101. #14582814C22semidirect
102. #14582814C22semidirect
103. #14582813C22semidirect
104. #14582813C22semidirect
105. #14582813C22semidirect
113. #14582802C22semidirect
114. #14582801C22semidirect
115. #14582800C22semidirect
116. #14582799C22semidirect
117. #14582799C22semidirect
118. #14582799C22semidirect
119. #14582799C22semidirect
120. #14582793C22semidirect
121. #14582793C22semidirect
122. #14582792C22semidirect
123. #14582792C22semidirect
124. #14582791C22semidirect
125. #14582791C22semidirect
126. #14582790C22semidirect
127. #14582790C22semidirect
128. #14582789C22semidirect
129. #14582789C22semidirect
130. #14582788C22semidirect
131. #14582788C22semidirect
132. #14582787C22semidirect
133. #14582787C22semidirect
134. #14582786C22semidirect
135. #14582785C22semidirect
136. #14582784C22semidirect
137. #14582783C22semidirect
138. #14582782C22semidirect
139. #14582781C22semidirect
140. #14582780C22semidirect
141. #14582779C22semidirect
142. #14582779C22semidirect
143. #14582778C22semidirect
144. #14582778C22semidirect
145. #14582777C22semidirect
146. #14582777C22semidirect
147. #14582777C22semidirect
148. #14582777C22semidirect
149. #14582776C22semidirect
150. #14582776C22semidirect
151. #14582775C22semidirect
152. #14582775C22semidirect
153. #14582775C22semidirect
154. #14582775C22semidirect
155. C22⋊C4×Dic43C22semidirect
156. C22⋊C4×Dic43C22semidirect
157. C4×(C2×D43)⋊C4C22semidirect
158. C4×(C2×D43)⋊C4C22semidirect
159. C4×C22⋊Dic43C22semidirect
160. #14582746C22semidirect
161. #14582746C22semidirect
172. C43×#400C22semidirect
173. C43×#397C22semidirect
174. C43×#397C22semidirect
175. C43×#396C22semidirect
176. C43×#394C22semidirect
177. C43×#394C22semidirect
178. C43×#394C22semidirect
180. C43×#390C22semidirect
181. C43×#388C22semidirect
182. C43×#388C22semidirect
183. C43×#387C22semidirect
184. C43×#386C22semidirect
185. C43×#386C22semidirect
186. C4×C22⋊C4×C43C22semidirect
869. #2648D43direct (N × H)
898. D43#2648direct (N × H)
931. #400C2×D43semidirect
946. #397C2×D43semidirect
947. #397C2×D43semidirect
955. #396C2×D43semidirect
977. #394C2×D43semidirect
978. #394C2×D43semidirect
979. #394C2×D43semidirect
995. #390C2×D43semidirect
1010. #388C2×D43semidirect
1011. #388C2×D43semidirect
1019. #387C2×D43semidirect
1034. #386C2×D43semidirect
1035. #386C2×D43semidirect
1043. C4×C22⋊C4C2×D43semidirect
1054. C43C2×#2648semidirect

Maximal subgroups

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

subgroupindex
#191405902
#191405892
#191405882
#191405872
#191405862
#191405852
#191405842
#191405832
#191405822
#191405812
#191405802
#191405792
#191405782
#191405772
#191405762
#400×D432
#397×D432
#396×D432
#394×D432
#392×D432
#390×D432
#388×D432
#387×D432
#386×D432
C4×C22⋊C4×D432
C43×#26482
C2×#264843