Finite Group Databasebeta

← #25269271

Subgroups — #25269271

Order 11008.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583486C211yesmaximal, characteristic, complemented
2C2×C4×D4×D43C211yesmaximal, characteristic, complemented
3#19142913C211yesmaximal, characteristic, complemented
4#19142893C211yesmaximal, characteristic, complemented
5#19142888C211yesmaximal, characteristic, complemented
6#19142876C211yesmaximal, characteristic, complemented
7#19140495C211yesmaximal, characteristic, complemented
8#19140481C211yesmaximal, characteristic, complemented
9#19140449C211yesmaximal, characteristic, complemented
10#19140437C211yesmaximal, characteristic, complemented
11#19138849C211yesmaximal, characteristic, complemented
12#19138714C211yesmaximal, characteristic, complemented
13#19138643C211yesmaximal, characteristic, complemented
14#19138529C211yesmaximal, characteristic, complemented
15#19138491C211yesmaximal, characteristic, complemented
16#19138484C211yesmaximal, characteristic, complemented
17#19138419C211yesmaximal, characteristic, complemented
18#19138325C211yesmaximal, characteristic, complemented
19#19138260C211yesmaximal, characteristic, complemented
20#19138133C211yesmaximal, characteristic, complemented
21#19138132C211yesmaximal, characteristic, complemented
22#19138051C211yesmaximal, characteristic, complemented
23#19137972C211yesmaximal, characteristic, complemented
24#19137966C211yesmaximal, characteristic, complemented
25#19137907C211yesmaximal, characteristic, complemented
26#19137296C211yesmaximal, characteristic, complemented
27#19137252C211yesmaximal, characteristic, complemented
28#19137221C211yesmaximal, characteristic, complemented
29#19137100C211yesmaximal, characteristic, complemented
30C2×#14582777C211yesmaximal, characteristic, complemented
31C43×#2444C211yesmaximal, characteristic, complemented
32C23×D172C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic, complemented
36#14583486—28no—
37C2×#13063320C2211yescharacteristic, complemented
38C2×#13063320C2211yescharacteristic, complemented
39C2×#13063311C2211yescharacteristic, complemented
40C2×#13063311C2211yescharacteristic, complemented
41C2×#13063309C2211yescharacteristic, complemented
42C2×#13063309C2211yescharacteristic, complemented
43C2×#13063308C2211yescharacteristic, complemented
44C2×#13063304C2211yescharacteristic, complemented
45C2×#13063303C2211yescharacteristic, complemented
46C2×#13063298C2211yescharacteristic
47C2×#13063298C2211yescharacteristic
48C2×#13063298C2211yescharacteristic, complemented
49C2×#13063297C2211yescharacteristic
50C2×#13063297C2211yescharacteristic, complemented
51C2×#13063297C2211yescharacteristic, complemented
52C2×#13063295C2211yescharacteristic
53C2×#13063295C2211yescharacteristic
54C2×#13063295C2211yescharacteristic
55C2×#13063293C2211yescharacteristic
56C2×#13063293C2211yescharacteristic
57C2×#13063293C2211yescharacteristic, complemented
58C2×#13063293C2211yescharacteristic, complemented
59C2×C4×D172C2211yescharacteristic, complemented
60C2×D4×Dic43C2211yescharacteristic
61C2×D4×Dic43C2211yescharacteristic, complemented
62C2×#13063287C2211yescharacteristic, complemented
63C2×C4×C22⋊D43C2211yescharacteristic
64C2×C4×C22⋊D43C2211yescharacteristic, complemented
65C2×(C22⋊D43)⋊C4C2211yescharacteristic
66C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
67C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
68C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
69C4×D4×D43—28no—
70C2×C4⋊C4×D43C2211yescharacteristic, complemented
71C22×(C2×D43)⋊C4C2211yescharacteristic
72C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
73C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
74C2×C22⋊C4×D43C2211yescharacteristic
75C2×C22⋊C4×D43C2211yescharacteristic, complemented
76C2×C42×D43C2211yescharacteristic, complemented
77#14582840C2211yescharacteristic, complemented
78#14582834C2211yescharacteristic, complemented
79#14582834C2211yescharacteristic, complemented
80#14582833C2211yescharacteristic, complemented
81#14582825C2211yescharacteristic, complemented
82#14582823C2211yescharacteristic, complemented
83#14582823C2211yescharacteristic, complemented
84#14582823C2211yescharacteristic, complemented
85#14582821C2211yescharacteristic, complemented
86#14582817C2211yescharacteristic, complemented
87#14582817C2211yescharacteristic, complemented
88#14582817C2211yescharacteristic, complemented
89#14582816C2211yescharacteristic, complemented
90#14582814C2211yescharacteristic, complemented
91#14582814C2211yescharacteristic, complemented
92#14582814C2211yescharacteristic, complemented
93#14582814C2211yescharacteristic, complemented
94#14582812C2211yescharacteristic, complemented
95#14582812C2211yescharacteristic, complemented
96#14582809C2211yescharacteristic
97#14582809C2211yescharacteristic
98#14582808C2211yescharacteristic
99#14582808C2211yescharacteristic
100#14582808C2211yescharacteristic, complemented
101#14582808C2211yescharacteristic, complemented
102#14582808C2211yescharacteristic, complemented
103#14582808C2211yescharacteristic, complemented
104#14582807C2211yescharacteristic, complemented
105#14582803C2211yescharacteristic, complemented
106#14582800C2211yescharacteristic, complemented
107#14582800C2211yescharacteristic, complemented
108#14582799C2211yescharacteristic, complemented
109#14582793C2211yescharacteristic, complemented
110#14582793C2211yescharacteristic, complemented
111#14582790C2211yescharacteristic, complemented
112#14582790C2211yescharacteristic, complemented
113#14582789C2211yescharacteristic, complemented
114#14582789C2211yescharacteristic, complemented
115#14582788C2211yescharacteristic, complemented
116#14582788C2211yescharacteristic, complemented
117#14582788C2211yescharacteristic, complemented
118#14582788C2211yescharacteristic, complemented
119#14582787C2211yescharacteristic, complemented
120#14582786C2211yescharacteristic, complemented
121#14582784C2211yescharacteristic, complemented
122#14582782C2211yescharacteristic, complemented
123#14582781C2211yescharacteristic, complemented
124#14582781C2211yescharacteristic, complemented
125#14582779C2211yescharacteristic
126#14582778C2211yescharacteristic
127#14582778C2211yescharacteristic
128#14582778C2211yescharacteristic, complemented
129#14582777C2211yescharacteristic
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582777C2211yescharacteristic
137#14582777C2211yescharacteristic, complemented
138#14582777C2211yescharacteristic, complemented
139#14582777C2211yescharacteristic, complemented
140#14582777C2211yescharacteristic, complemented
141#14582777C2211yescharacteristic, complemented
142#14582777C2211yescharacteristic, complemented
143#14582777C2211yescharacteristic, complemented
144#14582776C2211yescharacteristic, complemented
145#14582775C2211yescharacteristic, complemented
146#14582775C2211yescharacteristic, complemented
147#14582775C2211yescharacteristic, complemented
148#14582775C2211yescharacteristic, complemented
149#14582773C2211yescharacteristic, complemented
150#14582773C2211yescharacteristic, complemented
151#14582773C2211yescharacteristic, complemented
152#14582773C2211yescharacteristic, complemented
153#14582773C2211yescharacteristic, complemented
154#14582772C2211yescharacteristic, complemented
155#14582772C2211yescharacteristic, complemented
156#14582771C2211yescharacteristic, complemented
157#14582771C2211yescharacteristic, complemented
158#14582770C2211yescharacteristic, complemented
159#14582770C2211yescharacteristic, complemented
160#14582766C2211yescharacteristic, complemented
161#14582763C2211yescharacteristic, complemented
162#14582760C2211yescharacteristic, complemented
163#14582758C2211yescharacteristic, complemented
164#14582758C2211yescharacteristic, complemented
165#14582757C2211yescharacteristic, complemented
166#14582757C2211yescharacteristic, complemented
167#14582754C2211yescharacteristic
168#14582754C2211yescharacteristic, complemented
169#14582754C2211yescharacteristic, complemented
170C22⋊C4×Dic43C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#14582746C2211yescharacteristic, complemented
173C2×C43⋊#95C2211yescharacteristic, complemented
174C2×#121×C43C2211yescharacteristic
175C2×C4×D4×C43C2211yescharacteristic
176C43×#400C2211yescharacteristic, complemented
177C43×#397C2211yescharacteristic, complemented
178C43×#397C2211yescharacteristic, complemented
179C43×#394C2211yescharacteristic, complemented
180C43×#388C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#386C2211yescharacteristic, complemented
184C43×#386C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic, complemented
187C43×#381C2211yescharacteristic, complemented
188C2×#95×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C24×D43C2311yescharacteristic
192C22×Dic86C2311yescharacteristic
193C22×D172—24no—
194C22×D172—42no—
195C22×D172—42no—
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×D172C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C22×C22⋊D43C2311yescharacteristic
208C22×C22⋊D43C2311yescharacteristic
209C22×C22⋊D43C2311yescharacteristic
210C22×C22⋊D43C2311yescharacteristic
211C22×C22⋊D43C2311yescharacteristic
212C2×D4×D43—24no—
213C2×D4×D43—24no—
214C2×D4×D43—24no—
215C23×Dic43C2311yescharacteristic
216C23×Dic43C2311yescharacteristic
217C23×Dic43C2311yescharacteristic
218C23×Dic43C2311yescharacteristic
219C22×C4×D43—24no—
220C22×C4×D43—24no—
221C22×C4×D43—42no—
222C22×C4×D43—42no—
223C22×C4×D43—42no—
224C22×C4×D43—42no—
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233C22×C4×D43C2311yescharacteristic
234#13063320—24no—
235#13063320—24no—
236#13063311—24no—
237#13063311—24no—
238#13063309—24no—
239#13063309—24no—
240#13063308—42no—
241#13063304—24no—
242#13063303—42no—
243#13063298—42no—
244#13063298—42no—
245#13063298—42no—
246#13063297—24no—
247#13063297—24no—
248#13063297—24no—
249#13063295—24no—
250#13063295—42no—
251#13063295—42no—
252#13063293—24no—
253#13063293—24no—
254#13063293—24no—
255#13063293—42no—
256C4×D172—24no—
257D4×Dic43—24no—
258D4×Dic43D418yescomplemented
259#13063287—24no—
260C4×C22⋊D43—24no—
261C4×C22⋊D43—24no—
262(C22⋊D43)⋊C4—24no—
263(C22⋊D43)⋊C4—24no—
264(C22⋊D43)⋊C4—42no—
265(C22⋊D43)⋊C4—42no—
266C2×C4⋊Dic43C2311yescharacteristic
267C2×C4⋊Dic43C2311yescharacteristic
268C2×C4⋊Dic43C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C2×Dic43⋊C4C2311yescharacteristic
277C2×Dic43⋊C4C2311yescharacteristic
278C2×Dic43⋊C4C2311yescharacteristic
279C2×Dic43⋊C4C2311yescharacteristic
280C2×Dic43⋊C4C2311yescharacteristic
281C2×Dic43⋊C4C2311yescharacteristic
282C4⋊C4×D43—24no—
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×C22⋊Dic43C2311yescharacteristic
289C2×C22⋊Dic43C2311yescharacteristic
290C2×C22⋊Dic43C2311yescharacteristic
291C2×(C2×D43)⋊C4—24no—
292C2×(C2×D43)⋊C4—42no—
293C2×(C2×D43)⋊C4—42no—
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C2×(C2×D43)⋊C4C2311yescharacteristic
321C2×(C2×D43)⋊C4C2311yescharacteristic
322C2×(C2×D43)⋊C4C2311yescharacteristic
323C2×(C2×D43)⋊C4C2311yescharacteristic
324C2×(C2×D43)⋊C4C2311yescharacteristic
325C2×(C2×D43)⋊C4C2311yescharacteristic
326C2×(C2×D43)⋊C4C2311yescharacteristic
327C2×(C2×D43)⋊C4C2311yescharacteristic
328C2×(C2×D43)⋊C4C2311yescharacteristic
329C2×(C2×D43)⋊C4C2311yescharacteristic
330C2×(C2×D43)⋊C4C2311yescharacteristic
331C22⋊C4×D43—24no—
332C22⋊C4×D43—24no—
333C2×C4×Dic43C2311yescharacteristic
334C2×C4×Dic43C2311yescharacteristic
335C2×C4×Dic43C2311yescharacteristic
336C2×C4×Dic43C2311yescharacteristic
337C2×C4×Dic43C2311yescharacteristic
338C2×C4×Dic43C2311yescharacteristic
339C42×D43—24no—
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C43⋊#95C2311yescharacteristic
355C43⋊#95C2311yescharacteristic
356C43⋊#95C2311yescharacteristic
357C43⋊#95C2311yescharacteristic
358C43⋊#95C2311yescharacteristic
359C43⋊#95C2311yescharacteristic
360C22×D4×C43C2311yescharacteristic
361C22×D4×C43C2311yescharacteristic
362C22×D4×C43C2311yescharacteristic
363C23×C4×C43C2311yescharacteristic
364C23×C4×C43C2311yescharacteristic
365C23×C4×C43C2311yescharacteristic
366C23×C4×C43C2311yescharacteristic
367#121×C43—24no—
368C4×D4×C43—24no—
369C2×C4⋊C4×C43C2311yescharacteristic
370C2×C4⋊C4×C43C2311yescharacteristic
371C2×C4⋊C4×C43C2311yescharacteristic
372C2×C4⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C22⋊C4×C43C2311yescharacteristic
383C2×C22⋊C4×C43C2311yescharacteristic
384C2×C42×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391#95×C43C2311yescharacteristic
392#95×C43C2311yescharacteristic
393#95×C43C2311yescharacteristic
394#95×C43C2311yescharacteristic
395#95×C43C2311yescharacteristic
396#95×C43C2311yescharacteristic
397C24×C43C2411yescharacteristic
398C24×C43C2411yescharacteristic
399C24×C43C2411yescharacteristic
400C23×D43—22no—
401C23×D43—22no—
402C23×D43—22no—
403C23×D43—22no—
404C23×D43—22no—
405C23×D43—22no—
406C23×D43—22no—
407C23×D43—22no—
408C23×D43—22no—
409C23×D43—22no—
410C23×D43—22no—
411C23×D43—22no—
412C23×D43—41no—
413C23×D43—41no—
414C23×D43—41no—
415C23×D43—41no—
416C23×D43—41no—
417C23×D43—41no—
418C23×D43—41no—
419C23×D43—41no—
420C23×D43#4114yes—
421C23×D43C2411yescharacteristic
422C23×D43C2411yescharacteristic
423C23×D43C2411yescharacteristic
424C23×D43C2411yescharacteristic
425C23×D43C2411yescharacteristic
426C2×D4×C43—22no—
427C2×D4×C43—22no—
428C2×D4×C43—22no—
429C2×D4×C43—22no—
430C2×D4×C43—22no—
431C2×D4×C43—22no—
432C2×D4×C43—41no—
433C2×D4×C43—41no—
434C2×D4×C43C2×D414yes—
435C22×C4×C43—22no—
436C22×C4×C43—22no—
437C22×C4×C43—22no—
438C22×C4×C43—22no—
439C22×C4×C43—22no—
440C22×C4×C43—22no—
441C22×C4×C43—41no—
442C22×C4×C43—41no—
443C22×C4×C43—41no—
444C22×C4×C43—41no—
445C22×C4×C43—41no—
446C22×C4×C43—41no—
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2411yescharacteristic
449C22×C4×C43C2411yescharacteristic
450C22×C4×C43C2411yescharacteristic
451C22×C4×C43C2411yescharacteristic
452C22×C4×C43C2411yescharacteristic
453C22×C4×C43C2411yescharacteristic
454C22×C4×C43C2411yescharacteristic
455C22×C4×C43C2411yescharacteristic
456C22×C4×C43C2411yescharacteristic
457C22×C4×C43C2411yescharacteristic
458C22×C4×C43C2411yescharacteristic
459C2×C22⋊D43—22no—
460C2×C22⋊D43—22no—
461C2×C22⋊D43—22no—
462C2×C22⋊D43—22no—
463C2×C22⋊D43—22no—
464C2×C22⋊D43—22no—
465C2×C22⋊D43—22no—
466C2×C22⋊D43—22no—
467C2×C22⋊D43—22no—
468C2×C22⋊D43—22no—
469C2×C22⋊D43—22no—
470C2×C22⋊D43—22no—
471C2×C22⋊D43—22no—
472C2×C22⋊D43—22no—
473C2×C22⋊D43—41no—
474C2×C22⋊D43—41no—
475C2×C22⋊D43—41no—
476C2×C22⋊D43—41no—
477C2×C22⋊D43—41no—
478C2×C22⋊D43—41no—
479C2×C22⋊D43—41no—
480C2×C22⋊D43—41no—
481C2×C22⋊D43—41no—
482C2×C22⋊D43—41no—
483C2×C22⋊D43—41no—
484C2×C22⋊D43—41no—
485C2×C22⋊D43#4114yes—
486C22×Dic43—22no—
487C22×Dic43—22no—
488C22×Dic43—41no—
489C22×Dic43—41no—
490C22×Dic43—41no—
491C22×Dic43—41no—
492C22×Dic43—41no—
493C22×Dic43—41no—
494C22×Dic43—41no—
495C22×Dic43—41no—
496C22×Dic43C2×D414yes—
497C22×Dic43C2×D414yescomplemented
498C22×Dic43C2411yescharacteristic
499C22×Dic43C2411yescharacteristic
500C22×Dic43C2411yescharacteristic
501C22×Dic43C2411yescharacteristic
502C22×Dic43C2411yescharacteristic
503C22×Dic43C2411yescharacteristic
504C22×Dic43C2411yescharacteristic
505C22×Dic43C2411yescharacteristic
506C22×Dic43C2411yescharacteristic
507C22×Dic43C2411yescharacteristic
508C22×Dic43C2411yescharacteristic
509D4×D43—232no—
510C2×D172—22no—
511C2×D172—22no—
512C2×D172—22no—
513C2×D172—22no—
514C2×D172—22no—
515C2×D172—22no—
516C2×D172—22no—
517C2×D172—22no—
518C2×D172—22no—
519C2×D172—22no—
520C2×D172—22no—
521C2×D172—22no—
522C2×D172—22no—
523C2×D172—41no—
524C2×D172—41no—
525C2×D172—41no—
526C2×D172—41no—
527C2×D172—41no—
528C2×D172—41no—
529C2×D172—41no—
530C2×D172—41no—
531C2×D172—416no—
532C2×C4×D43—22no—
533C2×C4×D43—22no—
534C2×C4×D43—22no—
535C2×C4×D43—22no—
536C2×C4×D43—22no—
537C2×C4×D43—22no—
538C2×C4×D43—22no—
539C2×C4×D43—22no—
540C2×C4×D43—22no—
541C2×C4×D43—22no—
542C2×C4×D43—22no—
543C2×C4×D43—22no—
544C2×C4×D43—22no—
545C2×C4×D43—22no—
546C2×C4×D43—22no—
547C2×C4×D43—22no—
548C2×C4×D43—22no—
549C2×C4×D43—22no—
550C2×C4×D43—41no—
551C2×C4×D43—41no—
552C2×C4×D43—41no—
553C2×C4×D43—41no—
554C2×C4×D43—41no—
555C2×C4×D43—41no—
556C2×C4×D43—41no—
557C2×C4×D43—41no—
558C2×C4×D43—41no—
559C2×C4×D43—416no—
560C2×C4×D43—416no—
561C2×Dic86—22no—
562C2×Dic86—41no—
563C2×Dic86—41no—
564C4⋊C4×C43—22no—
565C4⋊C4×C43—22no—
566C4⋊C4×C43—41no—
567C4⋊C4×C43—41no—
568C22⋊C4×C43—22no—
569C22⋊C4×C43—22no—
570C22⋊C4×C43—22no—
571C22⋊C4×C43—22no—
572C22⋊C4×C43—22no—
573C22⋊C4×C43—22no—
574C22⋊C4×C43—41no—
575C22⋊C4×C43—41no—
576C22⋊C4×C43—41no—
577C22⋊C4×C43—41no—
578C22⋊C4×C43—41no—
579C42×C43—22no—
580C22⋊Dic43—22no—
581C22⋊Dic43—22no—
582C22⋊Dic43—22no—
583C22⋊Dic43—22no—
584C22⋊Dic43—41no—
585C22⋊Dic43—41no—
586C22⋊Dic43C2×D414yes—
587C22⋊Dic43C2×D414yescomplemented
588(C2×D43)⋊C4—22no—
589(C2×D43)⋊C4—22no—
590(C2×D43)⋊C4—22no—
591(C2×D43)⋊C4—22no—
592(C2×D43)⋊C4—22no—
593(C2×D43)⋊C4—22no—
594(C2×D43)⋊C4—22no—
595(C2×D43)⋊C4—22no—
596(C2×D43)⋊C4—22no—
597(C2×D43)⋊C4—22no—
598(C2×D43)⋊C4—22no—
599(C2×D43)⋊C4—22no—
600(C2×D43)⋊C4—22no—
601(C2×D43)⋊C4—22no—
602(C2×D43)⋊C4—22no—
603(C2×D43)⋊C4—22no—
604(C2×D43)⋊C4—22no—
605(C2×D43)⋊C4—22no—
606(C2×D43)⋊C4—22no—
607(C2×D43)⋊C4—22no—
608(C2×D43)⋊C4—22no—
609(C2×D43)⋊C4—22no—
610(C2×D43)⋊C4—22no—
611(C2×D43)⋊C4—41no—
612(C2×D43)⋊C4—41no—
613(C2×D43)⋊C4—41no—
614(C2×D43)⋊C4—41no—
615(C2×D43)⋊C4—41no—
616(C2×D43)⋊C4—41no—
617(C2×D43)⋊C4—41no—
618(C2×D43)⋊C4—41no—
619(C2×D43)⋊C4—41no—
620(C2×D43)⋊C4—41no—
621(C2×D43)⋊C4—41no—
622(C2×D43)⋊C4—41no—
623(C2×D43)⋊C4—41no—
624(C2×D43)⋊C4—41no—
625C4⋊Dic43—22no—
626C4⋊Dic43—22no—
627C4⋊Dic43C2×D414yescomplemented
628Dic43⋊C4—22no—
629Dic43⋊C4—22no—
630Dic43⋊C4—22no—
631Dic43⋊C4—22no—
632Dic43⋊C4—22no—
633Dic43⋊C4—22no—
634Dic43⋊C4—41no—
635Dic43⋊C4—41no—
636Dic43⋊C4—41no—
637Dic43⋊C4—41no—
638Dic43⋊C4—41no—
639Dic43⋊C4—41no—
640Dic43⋊C4—41no—
641C4×Dic43—22no—
642C4×Dic43—22no—
643C4×Dic43—22no—
644C4×Dic43—41no—
645C4×Dic43—41no—
646C4×Dic43C2×D414yescomplemented
647C23×C43—21no—
648C23×C43—21no—
649C23×C43—21no—
650C23×C43—21no—
651C23×C43—21no—
652C23×C43—21no—
653C23×C43—21no—
654C23×C43—21no—
655C23×C43—21no—
656C23×C43—21no—
657C23×C43—21no—
658C23×C43—21no—
659C23×C43—21no—
660C23×C43—21no—
661C23×C43—21no—
662C23×C43—21no—
663C23×C43—21no—
664C23×C43C22×D412yes—
665C23×C43C22×D412yes—
666C23×C43C2×#4112yes—
667C23×C43C2×#4112yes—
668C23×C43C2511yescharacteristic
669C22×D43—21no—
670C22×D43—21no—
671C22×D43—21no—
672C22×D43—21no—
673C22×D43—28no—
674C22×D43—28no—
675C22×D43—21no—
676C22×D43—21no—
677C22×D43—21no—
678C22×D43—21no—
679C22×D43—21no—
680C22×D43—21no—
681C22×D43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—21no—
685C22×D43—21no—
686C22×D43—21no—
687C22×D43—28no—
688C22×D43—21no—
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—21no—
692C22×D43—21no—
693C22×D43—21no—
694C22×D43—21no—
695C22×D43—21no—
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—44no—
703C22×D43—44no—
704C22×D43—44no—
705C22×D43—44no—
706C22×D43—44no—
707C22×D43—44no—
708C22×D43—44no—
709C22×D43—44no—
710C22×D43—44no—
711C22×D43—44no—
712C22×D43—44no—
713C22×D43—44no—
714C22×D43—44no—
715C22×D43—44no—
716C22×D43—82no—
717C22×D43—82no—
718C22×D43—82no—
719C22×D43—82no—
720C22×D43C2×#4112yes—
721C22×D43C2×#4112yes—
722C22×D43C2×#4112yes—
723C22×D43H(5,𝔽2)12yes—
724C22×D43H(5,𝔽2)12yes—
725D4×C43—28no—
726D4×C43—44no—
727D4×C43—82no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—21no—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—44no—
763C2×C4×C43—44no—
764C2×C4×C43—44no—
765C2×C4×C43—82no—
766C2×C4×C43C22×D412yes—
767C2×C4×C43H(5,𝔽2)12yes—
768C22⋊D43—28no—
769C22⋊D43—28no—
770C22⋊D43—44no—
771C22⋊D43—44no—
772C22⋊D43—82no—
773C22⋊D43—82no—
774C22⋊D43—82no—
775C22⋊D43—82no—
776C22⋊D43—82no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—21no—
783C2×Dic43—21no—
784C2×Dic43—21no—
785C2×Dic43—21no—
786C2×Dic43—21no—
787C2×Dic43—21no—
788C2×Dic43—21no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—21no—
796C2×Dic43—21no—
797C2×Dic43—21no—
798C2×Dic43—21no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—21no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—44no—
806C2×Dic43—44no—
807C2×Dic43—82no—
808C2×Dic43—82no—
809C2×Dic43C22×D412yes—
810C2×Dic43C22×D412yes—
811C2×Dic43C22×D412yes—
812C2×Dic43C22×D412yes—
813C2×Dic43C2×#4112yes—
814D172—28no—
815D172—44no—
816D172—44no—
817D172—44no—
818D172—44no—
819D172—82no—
820D172—82no—
821C4×D43—28no—
822C4×D43—28no—
823C4×D43—44no—
824C4×D43—44no—
825C4×D43—44no—
826C4×D43—44no—
827C4×D43—44no—
828C4×D43—44no—
829C4×D43—44no—
830Dic86—82no—
831#34990—431nomaximal, Sylow
832C22×C43—22no—
833C22×C43—22no—
834C22×C43—22no—
835C22×C43—22no—
836C22×C43—22no—
837C22×C43—22no—
838C22×C43—22no—
839C22×C43—22no—
840C22×C43—22no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—41no—
848C22×C43—41no—
849C22×C43—41no—
850C22×C43—41no—
851C22×C43—41no—
852C22×C43#52514yes—
853C22×C43C23×D411yescharacteristic
854C22×C43C22×#4111yescharacteristic
855C22×C43C22×#4111yescharacteristic
856C22×C43C2×H(5,𝔽2)11yescharacteristic
857C22×C43C2×H(5,𝔽2)11yescharacteristic
858C22×C43C2×H(5,𝔽2)11yescharacteristic
859C22×C43#58511yescharacteristic
860C2×D43—22no—
861C2×D43—22no—
862C2×D43—22no—
863C2×D43—22no—
864C2×D43—22no—
865C2×D43—22no—
866C2×D43—22no—
867C2×D43—22no—
868C2×D43—22no—
869C2×D43—22no—
870C2×D43—22no—
871C2×D43—22no—
872C2×D43—416no—
873C2×D43—416no—
874C2×D43—41no—
875C2×D43—41no—
876C2×D43—41no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—41no—
882C2×D43—41no—
883C2×D43—41no—
884C2×D43—41no—
885C2×D43—41no—
886C2×D43—41no—
887C2×D43—41no—
888C2×D43—41no—
889C2×D43—41no—
890C2×D43—41no—
891C2×D43—41no—
892C2×D43—41no—
893C2×D43—41no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—88no—
897C2×D43#53814yescomplemented
898C4×C43—22no—
899C4×C43—22no—
900C4×C43—41no—
901C4×C43—41no—
902C4×C43—41no—
903C4×C43—41no—
904C4×C43—41no—
905C4×C43—41no—
906C4×C43—41no—
907C4×C43—41no—
908C4×C43—41no—
909C4×C43—41no—
910Dic43—22no—
911Dic43—22no—
912Dic43—22no—
913Dic43—22no—
914Dic43—22no—
915Dic43—41no—
916Dic43—41no—
917Dic43—41no—
918Dic43—41no—
919Dic43—41no—
920Dic43—41no—
921C2×#538—431no—
922C22×C4×D4—431no—
923#2852—431no—
924#2850—431no—
925#2849—431no—
926#2847—431no—
927#2636—431no—
928#2635—431no—
929#2631—431no—
930#2630—431no—
931#2481—431no—
932#2472—431no—
933#2467—431no—
934#2459—431no—
935#2456—431no—
936#2456—431no—
937#2450—431no—
938#2444D4311yescharacteristic, complemented
939#2443—431no—
940#2437—431no—
941#2424—431no—
942#2424—431no—
943#2418—431no—
944#2410—431no—
945#2410—431no—
946#2403—431no—
947#2325—431no—
948#2321—431no—
949#2318—431no—
950C4×#120—431no—
951C2×#386—431no—
952C2×C43—24no—
953C2×C43—42no—
954C2×C43—81no—
955C2×C43C2×#52511yescharacteristic
956C2×C43C2×#53811yescharacteristic
957C2×C43#345911yescharacteristic
958C2×C43#348411yescharacteristic
959C2×C43#348811yescharacteristic
960C2×C43#351311yescharacteristic
961C2×C43#351911yescharacteristic
962D43—24no—
963D43—42no—
964D43—42no—
965D43—81no—
966D43—81no—
967C23×D4—431no—
968C23×D4—431no—
969C24×C4—431no—
970C24×C4—431no—
971#538—868no—
972C2×#126—431no—
973C2×#126—431no—
974C2×#124—431no—
975C2×#124—431no—
976C2×#123—431no—
977C2×#123—431no—
978C2×#123—431no—
979C2×C22⋊Q8—431no—
980C2×C22⋊Q8—431no—
981C2×#121—431no—
982C2×#121—431no—
983C2×#121—431no—
984C2×#121—431no—
985C2×#121—431no—
986C2×#121—431no—
987C2×#121C2×D4311yescharacteristic
988C2×#120—431no—
989C2×#120—431no—
990C2×#120—431no—
991C2×#120—431no—
992C2×#120—431no—
993C2×#120—431no—
994C2×#120—431no—
995C2×C4×D4—431no—
996C2×C4×D4—431no—
997C2×C4×D4—431no—
998C2×C4×D4—431no—
999C2×C4×D4—431no—
1000C2×C4×D4—431no—
1001C2×C4×D4—431no—
1002C2×C4×D4—431no—
1003C2×C4×D4—431no—
1004C2×C4×D4—431no—
1005C2×C4×D4—868no—
1006C2×C4×D4C2×D4311yescharacteristic
1007C22×C4⋊C4—431no—
1008C22×C22⋊C4—431no—
1009C22×C22⋊C4—431no—
1010C22×C22⋊C4—431no—
1011C22×C22⋊C4—431no—
1012C22×C22⋊C4—431no—
1013C22×C42—431no—
1014#400—431no—
1015#400C2×D4311yescharacteristic, complemented
1016#399—431no—
1017#399—431no—
1018#398—431no—
1019#397—431no—
1020#397C2×D4311yescharacteristic, complemented
1021#397C2×D4311yescharacteristic, complemented
1022#396—431no—
1023#396—431no—
1024#396—431no—
1025#396—431no—
1026#394—431no—
1027#394—431no—
1028#394—431no—
1029#394—431no—
1030#394—431no—
1031#394—431no—
1032#394—431no—
1033#394—431no—
1034#394C2×D4311yescharacteristic, complemented
1035#393—431no—
1036#393—431no—
1037#392—431no—
1038#392—431no—
1039#392—431no—
1040#392—431no—
1041#392—431no—
1042#392—431no—
1043#392—431no—
1044#392—431no—
1045#392—431no—
1046#391—431no—
1047#390—431no—
1048#390—431no—
1049#390—431no—
1050#388—431no—
1051#388—431no—
1052#388—431no—
1053#388—431no—
1054#388—431no—
1055#388—431no—
1056#388—431no—
1057#388—431no—
1058#388—431no—
1059#388—431no—
1060#388—431no—
1061#388C2×D4311yescharacteristic, complemented
1062#387—431no—
1063#387—431no—
1064#387—431no—
1065#387—431no—
1066#387—431no—
1067#387C2×D4311yescharacteristic, complemented
1068#386—431no—
1069#386—431no—
1070#386—431no—
1071#386—431no—
1072#386—431no—
1073#386—431no—
1074#386—431no—
1075#386—431no—
1076#386—431no—
1077#386—431no—
1078#386—431no—
1079#386—431no—
1080#386—431no—
1081#386—431no—
1082#386—431no—
1083#386—431no—
1084#386—431no—
1085#386—431no—
1086#386—431no—
1087#386—431no—
1088#386—431no—
1089#386—431no—
1090#386—431no—
1091#386—431no—
1092#386C2×D4311yescharacteristic
1093#386C2×D4311yescharacteristic, complemented
1094#386C2×D4311yescharacteristic, complemented
1095#386C2×D4311yescharacteristic, complemented
1096#385—431no—
1097#385—431no—
1098#385—431no—
1099#385—431no—
1100#385—431no—
1101#385—431no—
1102#385—431no—
1103#385—431no—
1104#385—431no—
1105#385—431no—
1106#385—431no—
1107#385C2×D4311yescharacteristic, complemented
1108#383—431no—
1109#382—431no—
1110#381—431no—
1111#381C2×D4311yescharacteristic, complemented
1112#380—431no—
1113#380—431no—
1114#380—431no—
1115#380—431no—
1116#379—431no—
1117#379—431no—
1118#379—431no—
1119C4×C22⋊C4—431no—
1120C4×C22⋊C4—431no—
1121C4×C22⋊C4—431no—
1122C2×#95—431no—
1123C2×#95C2×D4311yescharacteristic, complemented
1124C43#3499011yescharacteristic, complemented, Sylow
1125C25—431no—
1126C25—431no—
1127C25—431no—
1128C22×Q8—431no—
1129C22×D4—431no—
1130C22×D4—431no—
1131C22×D4—431no—
1132C22×D4—431no—
1133C22×D4—431no—
1134C22×D4—431no—
1135C22×D4—431no—
1136C22×D4—431no—
1137C22×D4—431no—
1138C22×D4—431no—
1139C22×D4—431no—
1140C22×D4—431no—
1141C22×D4—431no—
1142C22×D4—431no—
1143C22×D4—431no—
1144C22×D4—431no—
1145C22×D4—864no—
1146C22×D4—864no—
1147C22×D4—864no—
1148C22×D4—864no—
1149C22×D4—1722no—
1150C22×D4—1722no—
1151C22×D4C22×D4311yescharacteristic
1152C22×D4C22×D4311yescharacteristic
1153C22×D4C22×D4311yescharacteristic
1154C23×C4—431no—
1155C23×C4—431no—
1156C23×C4—431no—
1157C23×C4—431no—
1158C23×C4—431no—
1159C23×C4—431no—
1160C23×C4—431no—
1161C23×C4—431no—
1162C23×C4—431no—
1163C23×C4—431no—
1164C23×C4—431no—
1165C23×C4—431no—
1166C23×C4—431no—
1167C23×C4—864no—
1168C23×C4—864no—
1169C23×C4—1722no—
1170C23×C4—1722no—
1171C23×C4—1722no—
1172C23×C4—1722no—
1173C23×C4C22×D4311yescharacteristic
1174C23×C4C22×D4311yescharacteristic
1175C23×C4C22×D4311yescharacteristic
1176C23×C4C22×D4311yescharacteristic
1177#126—864no—
1178#126—864no—
1179#124—864no—
1180#124—864no—
1181#123—864no—
1182#123—864no—
1183#123—1722no—
1184C22⋊Q8—864no—
1185C22⋊Q8—1722no—
1186#121—24no—
1187#121—864no—
1188#121—864no—
1189#121—864no—
1190#121—1722no—
1191#121—1722no—
1192#121—1722no—
1193#120—864no—
1194#120—864no—
1195#120—864no—
1196#120—864no—
1197#120—1722no—
1198#120—1722no—
1199#120—1722no—
1200C4×D4—24no—
1201C4×D4—438no—
1202C4×D4—864no—
1203C4×D4—864no—
1204C4×D4—864no—
1205C4×D4—864no—
1206C4×D4—864no—
1207C4×D4—864no—
1208C4×D4—864no—
1209C4×D4—1722no—
1210C4×D4—1722no—
1211C2×C4⋊C4—431no—
1212C2×C4⋊C4—431no—
1213C2×C4⋊C4—431no—
1214C2×C4⋊C4—431no—
1215C2×C4⋊C4—431no—
1216C2×C4⋊C4—431no—
1217C2×C4⋊C4—431no—
1218C2×C4⋊C4—431no—
1219C2×C4⋊C4—431no—
1220C2×C4⋊C4—431no—
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—431no—
1225C2×C4⋊C4—431no—
1226C2×C4⋊C4—431no—
1227C2×C4⋊C4—864no—
1228C2×C4⋊C4C22×D4311yescharacteristic
1229C2×C4⋊C4C22×D4311yescharacteristic
1230C2×C4⋊C4C22×D4311yescharacteristic
1231C2×C4⋊C4C22×D4311yescharacteristic
1232C2×C22⋊C4—431no—
1233C2×C22⋊C4—431no—
1234C2×C22⋊C4—431no—
1235C2×C22⋊C4—431no—
1236C2×C22⋊C4—431no—
1237C2×C22⋊C4—431no—
1238C2×C22⋊C4—431no—
1239C2×C22⋊C4—431no—
1240C2×C22⋊C4—431no—
1241C2×C22⋊C4—431no—
1242C2×C22⋊C4—431no—
1243C2×C22⋊C4—431no—
1244C2×C22⋊C4—431no—
1245C2×C22⋊C4—431no—
1246C2×C22⋊C4—431no—
1247C2×C22⋊C4—431no—
1248C2×C22⋊C4—431no—
1249C2×C22⋊C4—431no—
1250C2×C22⋊C4—431no—
1251C2×C22⋊C4—431no—
1252C2×C22⋊C4—431no—
1253C2×C22⋊C4—431no—
1254C2×C22⋊C4—431no—
1255C2×C22⋊C4—431no—
1256C2×C22⋊C4—431no—
1257C2×C22⋊C4—431no—
1258C2×C22⋊C4—431no—
1259C2×C22⋊C4—431no—
1260C2×C22⋊C4—431no—
1261C2×C22⋊C4—431no—
1262C2×C22⋊C4—431no—
1263C2×C22⋊C4—431no—
1264C2×C22⋊C4—431no—
1265C2×C22⋊C4—431no—
1266C2×C22⋊C4—431no—
1267C2×C22⋊C4—431no—
1268C2×C22⋊C4—431no—
1269C2×C22⋊C4—431no—
1270C2×C22⋊C4—431no—
1271C2×C22⋊C4—431no—
1272C2×C22⋊C4—431no—
1273C2×C22⋊C4—431no—
1274C2×C22⋊C4—431no—
1275C2×C22⋊C4—431no—
1276C2×C22⋊C4—431no—
1277C2×C22⋊C4—864no—
1278C2×C22⋊C4—864no—
1279C2×C22⋊C4—864no—
1280C2×C22⋊C4—1722no—
1281C2×C22⋊C4—1722no—
1282C2×C22⋊C4C22×D4311yescharacteristic
1283C2×C22⋊C4C22×D4311yescharacteristic
1284C2×C22⋊C4C22×D4311yescharacteristic
1285C2×C22⋊C4C22×D4311yescharacteristic
1286C2×C22⋊C4C22×D4311yescharacteristic
1287C2×C22⋊C4C22×D4311yescharacteristic
1288C2×C22⋊C4C22×D4311yescharacteristic
1289C2×C22⋊C4C22×D4311yescharacteristic
1290C2×C22⋊C4C22×D4311yescharacteristic
1291C2×C22⋊C4C22×D4311yescharacteristic
1292C2×C22⋊C4C22×D4311yescharacteristic
1293C2×C42—431no—
1294C2×C42—431no—
1295C2×C42—431no—
1296C2×C42—431no—
1297C2×C42—431no—
1298C2×C42—431no—
1299C2×C42—864no—
1300C2×C42C22×D4311yescharacteristic
1301#95—431no—
1302#95—431no—
1303#95—431no—
1304#95—431no—
1305#95—431no—
1306#95—431no—
1307#95—431no—
1308#95—431no—
1309#95—431no—
1310#95—431no—
1311#95—431no—
1312#95—431no—
1313#95—431no—
1314#95—431no—
1315#95—431no—
1316#95—431no—
1317#95—431no—
1318#95—431no—
1319#95—431no—
1320#95—431no—
1321#95C22×D4311yescharacteristic
1322#95C22×D4311yescharacteristic
1323#95C22×D4311yescharacteristic
1324#95C22×D4311yescharacteristic
1325#95C22×D4311yescharacteristic
1326#95C22×D4311yescharacteristic
1327#95C22×D4311yescharacteristic
1328#95C22×D4311yescharacteristic
1329#95C22×D4311yescharacteristic
1330#95C22×D4311yescharacteristic
1331#95C22×D4311yescharacteristic
1332#95C22×D4311yescharacteristic
1333C24—431no—
1334C24—431no—
1335C24—431no—
1336C24—434no—
1337C24—431no—
1338C24—431no—
1339C24—862no—
1340C24—862no—
1341C24—862no—
1342C24—862no—
1343C24—862no—
1344C24—862no—
1345C24—862no—
1346C24—862no—
1347C24—862no—
1348C24—862no—
1349C24—862no—
1350C24—862no—
1351C24—1721no—
1352C24—1721no—
1353C24—1721no—
1354C24—1721no—
1355C24—1721no—
1356C24—1721no—
1357C24—1721no—
1358C24—1721no—
1359C24C23×D4311yescharacteristic
1360C24C23×D4311yescharacteristic
1361C24C23×D4311yescharacteristic
1362C2×Q8—862no—
1363C2×Q8—1721no—
1364C2×Q8—1721no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—434no—
1374C2×D4—862no—
1375C2×D4—862no—
1376C2×D4—862no—
1377C2×D4—862no—
1378C2×D4—862no—
1379C2×D4—862no—
1380C2×D4—862no—
1381C2×D4—862no—
1382C2×D4—862no—
1383C2×D4—862no—
1384C2×D4—862no—
1385C2×D4—862no—
1386C2×D4—862no—
1387C2×D4—862no—
1388C2×D4—862no—
1389C2×D4—8632no—
1390C2×D4—862no—
1391C2×D4—862no—
1392C2×D4—862no—
1393C2×D4—862no—
1394C2×D4—862no—
1395C2×D4—862no—
1396C2×D4—862no—
1397C2×D4—862no—
1398C2×D4—862no—
1399C2×D4—862no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—1721no—
1403C2×D4—1721no—
1404C2×D4—1721no—
1405C2×D4—1721no—
1406C2×D4—1721no—
1407C2×D4—1721no—
1408C2×D4—1721no—
1409C2×D4—1721no—
1410C2×D4—17216no—
1411C2×D4—1721no—
1412C2×D4—1721no—
1413C2×D4—1721no—
1414C2×D4—1721no—
1415C2×D4—1721no—
1416C2×D4—1721no—
1417C2×D4—1721no—
1418C2×D4—1721no—
1419C2×D4—1721no—
1420C2×D4—1721no—
1421C2×D4—1721no—
1422C2×D4—1721no—
1423C2×D4D4×D4314yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—431no—
1437C22×C4—431no—
1438C22×C4—431no—
1439C22×C4—431no—
1440C22×C4—431no—
1441C22×C4—434no—
1442C22×C4—434no—
1443C22×C4—431no—
1444C22×C4—431no—
1445C22×C4—431no—
1446C22×C4—431no—
1447C22×C4—431no—
1448C22×C4—431no—
1449C22×C4—862no—
1450C22×C4—862no—
1451C22×C4—862no—
1452C22×C4—862no—
1453C22×C4—862no—
1454C22×C4—862no—
1455C22×C4—862no—
1456C22×C4—862no—
1457C22×C4—862no—
1458C22×C4—862no—
1459C22×C4—862no—
1460C22×C4—862no—
1461C22×C4—862no—
1462C22×C4—862no—
1463C22×C4—862no—
1464C22×C4—862no—
1465C22×C4—862no—
1466C22×C4—862no—
1467C22×C4—862no—
1468C22×C4—862no—
1469C22×C4—1721no—
1470C22×C4—1721no—
1471C22×C4—1721no—
1472C22×C4—1721no—
1473C22×C4—1721no—
1474C22×C4—1721no—
1475C22×C4—1721no—
1476C22×C4—1721no—
1477C22×C4—1721no—
1478C22×C4—17216no—
1479C22×C4—17216no—
1480C22×C4—1721no—
1481C22×C4—1721no—
1482C22×C4—1721no—
1483C22×C4—1721no—
1484C22×C4—1721no—
1485C22×C4—1721no—
1486C22×C4—1721no—
1487C22×C4—1721no—
1488C22×C4C23×D4311yescharacteristic
1489C22×C4C23×D4311yescharacteristic
1490C22×C4C23×D4311yescharacteristic
1491C22×C4C23×D4311yescharacteristic
1492C22×C4C23×D4311yescharacteristic
1493C22×C4C23×D4311yescharacteristic
1494C22×C4C23×D4311yescharacteristic
1495C22×C4C23×D4311yescharacteristic
1496C22×C4C23×D4311yescharacteristic
1497C22×C4C23×D4311yescharacteristic
1498C22×C4C23×D4311yescharacteristic
1499C22×C4C23×D4311yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—434no—
1505C4⋊C4—862no—
1506C4⋊C4—862no—
1507C4⋊C4—862no—
1508C4⋊C4—862no—
1509C4⋊C4—862no—
1510C4⋊C4—862no—
1511C4⋊C4—862no—
1512C4⋊C4—862no—
1513C4⋊C4—1721no—
1514C4⋊C4—1721no—
1515C4⋊C4—1721no—
1516C4⋊C4—1721no—
1517C4⋊C4—1721no—
1518C4⋊C4—1721no—
1519C4⋊C4—1721no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—434no—
1532C22⋊C4—434no—
1533C22⋊C4—862no—
1534C22⋊C4—862no—
1535C22⋊C4—862no—
1536C22⋊C4—862no—
1537C22⋊C4—862no—
1538C22⋊C4—862no—
1539C22⋊C4—862no—
1540C22⋊C4—862no—
1541C22⋊C4—862no—
1542C22⋊C4—862no—
1543C22⋊C4—862no—
1544C22⋊C4—862no—
1545C22⋊C4—862no—
1546C22⋊C4—862no—
1547C22⋊C4—862no—
1548C22⋊C4—862no—
1549C22⋊C4—862no—
1550C22⋊C4—862no—
1551C22⋊C4—862no—
1552C22⋊C4—862no—
1553C22⋊C4—862no—
1554C22⋊C4—862no—
1555C22⋊C4—862no—
1556C22⋊C4—862no—
1557C22⋊C4—862no—
1558C22⋊C4—862no—
1559C22⋊C4—862no—
1560C22⋊C4—1721no—
1561C22⋊C4—1721no—
1562C22⋊C4—1721no—
1563C22⋊C4—1721no—
1564C22⋊C4—1721no—
1565C22⋊C4—1721no—
1566C22⋊C4—1721no—
1567C22⋊C4—1721no—
1568C22⋊C4—1721no—
1569C22⋊C4—1721no—
1570C22⋊C4—1721no—
1571C22⋊C4—1721no—
1572C22⋊C4—1721no—
1573C22⋊C4—1721no—
1574C22⋊C4—1721no—
1575C22⋊C4—1721no—
1576C42—22no—
1577C42—434no—
1578C42—862no—
1579C42—862no—
1580C42—862no—
1581C42—1721no—
1582C42—1721no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—432no—
1601C23—432no—
1602C23—432no—
1603C23—432no—
1604C23—432no—
1605C23—868no—
1606C23—868no—
1607C23—861no—
1608C23—861no—
1609C23—861no—
1610C23—861no—
1611C23—868no—
1612C23—861no—
1613C23—861no—
1614C23—861no—
1615C23—861no—
1616C23—861no—
1617C23—861no—
1618C23—861no—
1619C23—861no—
1620C23—861no—
1621C23—861no—
1622C23—861no—
1623C23—861no—
1624C23—861no—
1625C23—861no—
1626C23—861no—
1627C23—861no—
1628C23—861no—
1629C23—861no—
1630C23—861no—
1631C23—861no—
1632C23—861no—
1633C23—861no—
1634C23—861no—
1635C23—861no—
1636C23—861no—
1637C23—861no—
1638C23—3442no—
1639C23—3442no—
1640C23—3442no—
1641C23—3442no—
1642C23—1724no—
1643C23—1724no—
1644C23—1724no—
1645C23—1724no—
1646C23—1724no—
1647C23—1724no—
1648C23—1724no—
1649C23—1724no—
1650C23—1724no—
1651C23—1724no—
1652C23—1724no—
1653C23—1724no—
1654C23—1724no—
1655C23—1724no—
1656C23C2×D4×D4312yes—
1657C23C2×D4×D4312yes—
1658C23#41×D4312yes—
1659C23#41×D4312yes—
1660C23C24×D4311yescharacteristic
1661Q8—3442no—
1662D4—28no—
1663D4—44no—
1664D4—82no—
1665D4—868no—
1666D4—868no—
1667D4—868no—
1668D4—3442no—
1669D4—3442no—
1670D4—3442no—
1671D4—3442no—
1672D4—3442no—
1673D4—3442no—
1674D4—3442no—
1675D4—1724no—
1676D4—1724no—
1677D4—1724no—
1678D4—1724no—
1679D4—1724no—
1680D4—1724no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—82no—
1719C2×C4—432no—
1720C2×C4—432no—
1721C2×C4—432no—
1722C2×C4—432no—
1723C2×C4—432no—
1724C2×C4—868no—
1725C2×C4—868no—
1726C2×C4—861no—
1727C2×C4—861no—
1728C2×C4—861no—
1729C2×C4—861no—
1730C2×C4—861no—
1731C2×C4—861no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—861no—
1741C2×C4—861no—
1742C2×C4—861no—
1743C2×C4—861no—
1744C2×C4—861no—
1745C2×C4—861no—
1746C2×C4—861no—
1747C2×C4—861no—
1748C2×C4—861no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—3442no—
1755C2×C4—3442no—
1756C2×C4—1724no—
1757C2×C4—1724no—
1758C2×C4—1724no—
1759C2×C4—1724no—
1760C2×C4—1724no—
1761C2×C4—1724no—
1762C2×C4—1724no—
1763C2×C4—1724no—
1764C2×C4—1724no—
1765C2×C4C2×D4×D4312yes—
1766C2×C4#1306337112yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—434no—
1788C22—862no—
1789C22—862no—
1790C22—862no—
1791C22—862no—
1792C22—862no—
1793C22—862no—
1794C22—862no—
1795C22—862no—
1796C22—862no—
1797C22—862no—
1798C22—862no—
1799C22—862no—
1800C22—3448no—
1801C22—17216no—
1802C22—17216no—
1803C22—1721no—
1804C22—1721no—
1805C22—1721no—
1806C22—1721no—
1807C22—1721no—
1808C22—1721no—
1809C22—1721no—
1810C22—1721no—
1811C22—1721no—
1812C22—1721no—
1813C22—1721no—
1814C22—1721no—
1815C22—1721no—
1816C22—1721no—
1817C22—1721no—
1818C22—1721no—
1819C22—1721no—
1820C22—1721no—
1821C22—1721no—
1822C22—1721no—
1823C22—1721no—
1824C22—1721no—
1825C22#1458340714yes—
1826C22C22×D4×D4311yescharacteristic
1827C22C2×#41×D4311yescharacteristic
1828C22C2×#41×D4311yescharacteristic
1829C22H(5,𝔽2)×D4311yescharacteristic
1830C22H(5,𝔽2)×D4311yescharacteristic
1831C22C2×#1306337111yescharacteristic
1832C22#1458373511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—862no—
1846C4—862no—
1847C4—862no—
1848C4—862no—
1849C4—862no—
1850C4—1721no—
1851C4—1721no—
1852C4—1721no—
1853C4—1721no—
1854C4—1721no—
1855C4—1721no—
1856C2—24no—
1857C2—42no—
1858C2—81no—
1859C2—864no—
1860C2—3441no—
1861C2—3441no—
1862C2—1722no—
1863C2—1722no—
1864C2C2×#1458340711yescharacteristic
1865C2#538×D4311yescharacteristic
1866C2#1914800511yescharacteristic
1867C2#1914822511yescharacteristic
1868C2#1914825811yescharacteristic
1869C2#1914852611yescharacteristic
1870C2#1914862011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2444C2
hypercenter#2444D43
hypocenterC43#34990
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. C2×#14583486C2semidirect
2. C2×C4×D4×D43C2semidirect
3. #19142913C2semidirect
4. #19142893C2semidirect
5. #19142888C2semidirect
6. #19142876C2semidirect
7. #19140495C2semidirect
8. #19140481C2semidirect
9. #19140449C2semidirect
10. #19140437C2semidirect
11. #19138849C2semidirect
12. #19138714C2semidirect
13. #19138643C2semidirect
14. #19138529C2semidirect
15. #19138491C2semidirect
16. #19138484C2semidirect
17. #19138419C2semidirect
18. #19138325C2semidirect
19. #19138260C2semidirect
20. #19138133C2semidirect
21. #19138132C2semidirect
22. #19138051C2semidirect
23. #19137972C2semidirect
24. #19137966C2semidirect
25. #19137907C2semidirect
26. #19137296C2semidirect
27. #19137252C2semidirect
28. #19137221C2semidirect
29. #19137100C2semidirect
30. C2×#14582777C2semidirect
31. C43×#2444C2semidirect
35. C23×C4×D43C22semidirect
37. C2×#13063320C22semidirect
38. C2×#13063320C22semidirect
39. C2×#13063311C22semidirect
40. C2×#13063311C22semidirect
41. C2×#13063309C22semidirect
42. C2×#13063309C22semidirect
43. C2×#13063308C22semidirect
44. C2×#13063304C22semidirect
45. C2×#13063303C22semidirect
48. C2×#13063298C22semidirect
50. C2×#13063297C22semidirect
51. C2×#13063297C22semidirect
57. C2×#13063293C22semidirect
58. C2×#13063293C22semidirect
59. C2×C4×D172C22semidirect
61. C2×D4×Dic43C22semidirect
62. C2×#13063287C22semidirect
64. C2×C4×C22⋊D43C22semidirect
66. C2×(C22⋊D43)⋊C4C22semidirect
67. C2×(C22⋊D43)⋊C4C22semidirect
68. C2×(C22⋊D43)⋊C4C22semidirect
70. C2×C4⋊C4×D43C22semidirect
72. C22×(C2×D43)⋊C4C22semidirect
73. C22×(C2×D43)⋊C4C22semidirect
75. C2×C22⋊C4×D43C22semidirect
76. C2×C42×D43C22semidirect
77. #14582840C22semidirect
78. #14582834C22semidirect
79. #14582834C22semidirect
80. #14582833C22semidirect
81. #14582825C22semidirect
82. #14582823C22semidirect
83. #14582823C22semidirect
84. #14582823C22semidirect
85. #14582821C22semidirect
86. #14582817C22semidirect
87. #14582817C22semidirect
88. #14582817C22semidirect
89. #14582816C22semidirect
90. #14582814C22semidirect
91. #14582814C22semidirect
92. #14582814C22semidirect
93. #14582814C22semidirect
94. #14582812C22semidirect
95. #14582812C22semidirect
100. #14582808C22semidirect
101. #14582808C22semidirect
102. #14582808C22semidirect
103. #14582808C22semidirect
104. #14582807C22semidirect
105. #14582803C22semidirect
106. #14582800C22semidirect
107. #14582800C22semidirect
108. #14582799C22semidirect
109. #14582793C22semidirect
110. #14582793C22semidirect
111. #14582790C22semidirect
112. #14582790C22semidirect
113. #14582789C22semidirect
114. #14582789C22semidirect
115. #14582788C22semidirect
116. #14582788C22semidirect
117. #14582788C22semidirect
118. #14582788C22semidirect
119. #14582787C22semidirect
120. #14582786C22semidirect
121. #14582784C22semidirect
122. #14582782C22semidirect
123. #14582781C22semidirect
124. #14582781C22semidirect
128. #14582778C22semidirect
137. #14582777C22semidirect
138. #14582777C22semidirect
139. #14582777C22semidirect
140. #14582777C22semidirect
141. #14582777C22semidirect
142. #14582777C22semidirect
143. #14582777C22semidirect
144. #14582776C22semidirect
145. #14582775C22semidirect
146. #14582775C22semidirect
147. #14582775C22semidirect
148. #14582775C22semidirect
149. #14582773C22semidirect
150. #14582773C22semidirect
151. #14582773C22semidirect
152. #14582773C22semidirect
153. #14582773C22semidirect
154. #14582772C22semidirect
155. #14582772C22semidirect
156. #14582771C22semidirect
157. #14582771C22semidirect
158. #14582770C22semidirect
159. #14582770C22semidirect
160. #14582766C22semidirect
161. #14582763C22semidirect
162. #14582760C22semidirect
163. #14582758C22semidirect
164. #14582758C22semidirect
165. #14582757C22semidirect
166. #14582757C22semidirect
168. #14582754C22semidirect
169. #14582754C22semidirect
170. C22⋊C4×Dic43C22semidirect
171. #14582746C22semidirect
172. #14582746C22semidirect
173. C2×C43⋊#95C22semidirect
176. C43×#400C22semidirect
177. C43×#397C22semidirect
178. C43×#397C22semidirect
179. C43×#394C22semidirect
180. C43×#388C22semidirect
181. C43×#387C22semidirect
183. C43×#386C22semidirect
184. C43×#386C22semidirect
185. C43×#386C22semidirect
186. C43×#385C22semidirect
187. C43×#381C22semidirect
188. C2×#95×C43C22semidirect
258. D4×Dic43D4semidirect
497. C22×Dic43C2×D4semidirect
587. C22⋊Dic43C2×D4semidirect
627. C4⋊Dic43C2×D4semidirect
646. C4×Dic43C2×D4semidirect
897. C2×D43#538semidirect
938. #2444D43semidirect
1015. #400C2×D43semidirect
1020. #397C2×D43semidirect
1021. #397C2×D43semidirect
1034. #394C2×D43semidirect
1061. #388C2×D43semidirect
1067. #387C2×D43semidirect
1093. #386C2×D43semidirect
1094. #386C2×D43semidirect
1095. #386C2×D43semidirect
1107. #385C2×D43semidirect
1111. #381C2×D43semidirect
1123. C2×#95C2×D43semidirect
1124. C43#34990semidirect

Maximal subgroups

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

subgroupindex
C2×#145834862
C2×C4×D4×D432
#191429132
#191428932
#191428882
#191428762
#191404952
#191404812
#191404492
#191404372
#191388492
#191387142
#191386432
#191385292
#191384912
#191384842
#191384192
#191383252
#191382602
#191381332
#191381322
#191380512
#191379722
#191379662
#191379072
#191372962
#191372522
#191372212
#191371002
C2×#145827772
C43×#24442
#3499043