Finite Group Databasebeta

← #25303636

Subgroups — #25303636

Order 11008.

2432 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583498C211yesmaximal, characteristic, complemented
2C2×#14583407C211yesmaximal, characteristic, complemented
3#19142890C211yesmaximal, characteristic, complemented
4#19142879C211yesmaximal, characteristic, complemented
5#19141302C211yesmaximal, characteristic, complemented
6#19141279C211yesmaximal, characteristic, complemented
7#19141259C211yesmaximal, characteristic, complemented
8#19141236C211yesmaximal, characteristic, complemented
9#19141213C211yesmaximal, characteristic, complemented
10#19141162C211yesmaximal, characteristic, complemented
11#19141161C211yesmaximal, characteristic, complemented
12#19140983C211yesmaximal, characteristic, complemented
13#19140969C211yesmaximal, characteristic, complemented
14#19140961C211yesmaximal, characteristic, complemented
15#19140943C211yesmaximal, characteristic, complemented
16#19140943C211yesmaximal, characteristic, complemented
17#19140935C211yesmaximal, characteristic, complemented
18#19140919C211yesmaximal, characteristic, complemented
19#19140914C211yesmaximal, characteristic, complemented
20#19140521C211yesmaximal, characteristic, complemented
21#19140445C211yesmaximal, characteristic, complemented
22#19140294C211yesmaximal, characteristic, complemented
23#19140223C211yesmaximal, characteristic, complemented
24#19140197C211yesmaximal, characteristic, complemented
25#19140183C211yesmaximal, characteristic, complemented
26#19139947C211yesmaximal, characteristic, complemented
27#19139792C211yesmaximal, characteristic, complemented
28#19137935C211yesmaximal, characteristic, complemented
29#19137927C211yesmaximal, characteristic, complemented
30#19137236C211yesmaximal, characteristic, complemented
31C43×#2680C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34#14583498—28no—
35C2×#13063320C2211yescharacteristic
36C2×#13063320C2211yescharacteristic, complemented
37C2×#13063316C2211yescharacteristic, complemented
38C2×#13063316C2211yescharacteristic, complemented
39#14583407—28no—
40C2×#13063310C2211yescharacteristic
41C2×#13063310C2211yescharacteristic
42C2×#13063310C2211yescharacteristic
43C2×#13063309C2211yescharacteristic
44C2×#13063309C2211yescharacteristic, complemented
45C2×#13063308C2211yescharacteristic
46C2×#13063308C2211yescharacteristic, complemented
47C2×#13063303C2211yescharacteristic
48C2×#13063303C2211yescharacteristic
49C2×#13063303C2211yescharacteristic, complemented
50C2×#13063301C2211yescharacteristic
51C2×#13063301C2211yescharacteristic
52C2×#13063301C2211yescharacteristic, complemented
53C2×#13063299C2211yescharacteristic
54C2×#13063298C2211yescharacteristic
55C2×#13063298C2211yescharacteristic
56C2×#13063298C2211yescharacteristic
57C2×#13063295C2211yescharacteristic
58C2×#13063295C2211yescharacteristic
59C2×#13063293C2211yescharacteristic
60C2×#13063287C2211yescharacteristic
61C2×#13063287C2211yescharacteristic
62C2×(C22⋊D43)⋊C4C2211yescharacteristic
63C2×(C22⋊D43)⋊C4C2211yescharacteristic
64C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
65C2×#13063281C2211yescharacteristic
66C22×Dic43⋊C4C2211yescharacteristic, complemented
67#14582839C2211yescharacteristic, complemented
68#14582835C2211yescharacteristic
69#14582833C2211yescharacteristic, complemented
70#14582830C2211yescharacteristic, complemented
71#14582830C2211yescharacteristic, complemented
72#14582830C2211yescharacteristic, complemented
73#14582829C2211yescharacteristic, complemented
74#14582828C2211yescharacteristic
75#14582826C2211yescharacteristic, complemented
76#14582825C2211yescharacteristic
77#14582825C2211yescharacteristic
78#14582825C2211yescharacteristic, complemented
79#14582823C2211yescharacteristic
80#14582823C2211yescharacteristic
81#14582823C2211yescharacteristic, complemented
82#14582822C2211yescharacteristic
83#14582821C2211yescharacteristic
84#14582821C2211yescharacteristic
85#14582821C2211yescharacteristic, complemented
86#14582821C2211yescharacteristic, complemented
87#14582821C2211yescharacteristic, complemented
88#14582821C2211yescharacteristic, complemented
89#14582819C2211yescharacteristic, complemented
90#14582819C2211yescharacteristic, complemented
91#14582817C2211yescharacteristic
92#14582817C2211yescharacteristic
93#14582817C2211yescharacteristic
94#14582816C2211yescharacteristic
95#14582816C2211yescharacteristic
96#14582816C2211yescharacteristic, complemented
97#14582814C2211yescharacteristic
98#14582814C2211yescharacteristic
99#14582814C2211yescharacteristic
100#14582814C2211yescharacteristic
101#14582814C2211yescharacteristic, complemented
102#14582814C2211yescharacteristic, complemented
103#14582810C2211yescharacteristic, complemented
104#14582809C2211yescharacteristic
105#14582809C2211yescharacteristic
106#14582808C2211yescharacteristic
107#14582808C2211yescharacteristic, complemented
108#14582807C2211yescharacteristic
109#14582803C2211yescharacteristic, complemented
110#14582801C2211yescharacteristic
111#14582800C2211yescharacteristic
112#14582800C2211yescharacteristic
113#14582800C2211yescharacteristic, complemented
114#14582799C2211yescharacteristic
115#14582799C2211yescharacteristic
116#14582799C2211yescharacteristic
117#14582799C2211yescharacteristic
118#14582796C2211yescharacteristic, complemented
119#14582796C2211yescharacteristic, complemented
120#14582796C2211yescharacteristic, complemented
121#14582794C2211yescharacteristic, complemented
122#14582794C2211yescharacteristic, complemented
123#14582792C2211yescharacteristic
124#14582792C2211yescharacteristic
125#14582792C2211yescharacteristic, complemented
126#14582791C2211yescharacteristic
127#14582791C2211yescharacteristic, complemented
128#14582790C2211yescharacteristic
129#14582790C2211yescharacteristic, complemented
130#14582788C2211yescharacteristic
131#14582788C2211yescharacteristic
132#14582788C2211yescharacteristic, complemented
133#14582781C2211yescharacteristic, complemented
134#14582781C2211yescharacteristic, complemented
135#14582781C2211yescharacteristic, complemented
136#14582781C2211yescharacteristic, complemented
137#14582779C2211yescharacteristic
138#14582778C2211yescharacteristic
139#14582778C2211yescharacteristic
140#14582777C2211yescharacteristic
141#14582777C2211yescharacteristic
142#14582777C2211yescharacteristic
143#14582777C2211yescharacteristic, complemented
144#14582776C2211yescharacteristic
145#14582776C2211yescharacteristic
146#14582776C2211yescharacteristic, complemented
147#14582771C2211yescharacteristic
148#14582771C2211yescharacteristic
149#14582771C2211yescharacteristic
150#14582771C2211yescharacteristic, complemented
151#14582770C2211yescharacteristic
152#14582770C2211yescharacteristic
153#14582770C2211yescharacteristic
154#14582770C2211yescharacteristic
155#14582770C2211yescharacteristic
156#14582770C2211yescharacteristic
157#14582770C2211yescharacteristic, complemented
158#14582770C2211yescharacteristic, complemented
159#14582770C2211yescharacteristic, complemented
160#14582770C2211yescharacteristic, complemented
161#14582764C2211yescharacteristic, complemented
162#14582761C2211yescharacteristic
163#14582761C2211yescharacteristic
164#14582760C2211yescharacteristic, complemented
165#14582759C2211yescharacteristic
166#14582757C2211yescharacteristic, complemented
167#14582756C2211yescharacteristic
168#14582756C2211yescharacteristic
169#14582754C2211yescharacteristic
170#14582754C2211yescharacteristic
171#14582754C2211yescharacteristic
172C4×Dic43⋊C4C2211yescharacteristic, complemented
173#14582744C2211yescharacteristic, complemented
174C2×#123×C43C2211yescharacteristic
175C2×#123×C43C2211yescharacteristic
176C2×C22⋊Q8×C43C2211yescharacteristic
177C2×C22⋊Q8×C43C2211yescharacteristic, complemented
178C43×#398C2211yescharacteristic, complemented
179C43×#398C2211yescharacteristic, complemented
180C43×#397C2211yescharacteristic
181C43×#397C2211yescharacteristic, complemented
182C43×#395C2211yescharacteristic, complemented
183C43×#394C2211yescharacteristic
184C43×#388C2211yescharacteristic
185C43×#388C2211yescharacteristic, complemented
186C43×#385C2211yescharacteristic
187C43×#385C2211yescharacteristic, complemented
188C43×#384C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C2×#10621900—24no—
191C2×#10621900—42no—
192C2×#10621900—42no—
193C22×Dic86C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C23×Dic43C2311yescharacteristic
206C23×Dic43C2311yescharacteristic
207C23×Dic43C2311yescharacteristic
208C22×C4×D43—24no—
209C22×C4×D43—42no—
210C22×C4×D43—42no—
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216C22×C4×D43C2311yescharacteristic
217#13063320—24no—
218#13063320—24no—
219#13063316—24no—
220#13063316—24no—
221#13063310—24no—
222#13063310—24no—
223#13063310—42no—
224#13063309—24no—
225#13063309—24no—
226#13063308—24no—
227#13063308—42no—
228#13063303—24no—
229#13063303—24no—
230#13063303—42no—
231#13063301—24no—
232#13063301—24no—
233#13063301—42no—
234#13063299—24no—
235#13063298—24no—
236#13063298—24no—
237#13063298—42no—
238#13063295—24no—
239#13063295—42no—
240#13063293—24no—
241#13063287—24no—
242#13063287—24no—
243(C22⋊D43)⋊C4—24no—
244(C22⋊D43)⋊C4—24no—
245(C22⋊D43)⋊C4D418yescomplemented
246#13063281—24no—
247C2×C4⋊Dic43C2311yescharacteristic
248C2×C4⋊Dic43C2311yescharacteristic
249C2×C4⋊Dic43C2311yescharacteristic
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
253C2×Dic43⋊C4—24no—
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×Dic43⋊C4C2311yescharacteristic
261C2×Dic43⋊C4C2311yescharacteristic
262C2×Dic43⋊C4C2311yescharacteristic
263C2×Dic43⋊C4C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
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
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
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×C4×Dic43C2311yescharacteristic
317C2×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C2×C4×Dic43C2311yescharacteristic
321C2×C4×Dic43C2311yescharacteristic
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
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C22×Q8×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C23×C4×C43C2311yescharacteristic
349C23×C4×C43C2311yescharacteristic
350#123×C43—24no—
351#123×C43—42no—
352C22⋊Q8×C43—24no—
353C22⋊Q8×C43—42no—
354C2×C4⋊C4×C43C2311yescharacteristic
355C2×C4⋊C4×C43C2311yescharacteristic
356C2×C4⋊C4×C43C2311yescharacteristic
357C2×C4⋊C4×C43C2311yescharacteristic
358C2×C4⋊C4×C43C2311yescharacteristic
359C2×C4⋊C4×C43C2311yescharacteristic
360C2×C4⋊C4×C43C2311yescharacteristic
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2311yescharacteristic
368C2×C22⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C42×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382#95×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385C24×C43C2411yescharacteristic
386C24×C43C2411yescharacteristic
387C23×D43—22no—
388C23×D43—22no—
389C23×D43—22no—
390C23×D43—41no—
391C23×D43—41no—
392C23×D43—41no—
393C23×D43—41no—
394C23×D43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C23×D43C2411yescharacteristic
398C2×Q8×C43—22no—
399C2×Q8×C43—41no—
400C2×Q8×C43—41no—
401C2×D4×C43—22no—
402C2×D4×C43—22no—
403C2×D4×C43—41no—
404C22×C4×C43—22no—
405C22×C4×C43—22no—
406C22×C4×C43—22no—
407C22×C4×C43—41no—
408C22×C4×C43—41no—
409C22×C4×C43—41no—
410C22×C4×C43C2411yescharacteristic
411C22×C4×C43C2411yescharacteristic
412C22×C4×C43C2411yescharacteristic
413C22×C4×C43C2411yescharacteristic
414C22×C4×C43C2411yescharacteristic
415C22×C4×C43C2411yescharacteristic
416C22×C4×C43C2411yescharacteristic
417C22×C4×C43C2411yescharacteristic
418C22×C4×C43C2411yescharacteristic
419C22×C4×C43C2411yescharacteristic
420C22×C4×C43C2411yescharacteristic
421C22×C4×C43C2411yescharacteristic
422C22×C4×C43C2411yescharacteristic
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—22no—
429C2×C22⋊D43—22no—
430C2×C22⋊D43—22no—
431C2×C22⋊D43—41no—
432C2×C22⋊D43—41no—
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⋊D43C2×D414yes—
441C22×Dic43—22no—
442C22×Dic43—22no—
443C22×Dic43—22no—
444C22×Dic43—22no—
445C22×Dic43—41no—
446C22×Dic43—41no—
447C22×Dic43—41no—
448C22×Dic43—41no—
449C22×Dic43C2×D414yes—
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459C22×Dic43C2411yescharacteristic
460C22×Dic43C2411yescharacteristic
461C22×Dic43C2411yescharacteristic
462#10621900—416no—
463C2×D172—22no—
464C2×D172—22no—
465C2×D172—22no—
466C2×D172—22no—
467C2×D172—22no—
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×D172—41no—
472C2×D172—41no—
473C2×D172—41no—
474C2×D172—41no—
475C2×D172—41no—
476C2×D172—41no—
477C2×D172—41no—
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—41no—
486C2×C4×D43—41no—
487C2×C4×D43—41no—
488C2×C4×D43—41no—
489C2×C4×D43—41no—
490C2×C4×D43—41no—
491C2×C4×D43—41no—
492C2×C4×D43—41no—
493C2×C4×D43—41no—
494C2×C4×D43—41no—
495C2×C4×D43—416no—
496C2×C4×D43C2×D414yes—
497C2×Dic86—22no—
498C2×Dic86—22no—
499C2×Dic86—41no—
500C4⋊C4×C43—22no—
501C4⋊C4×C43—22no—
502C4⋊C4×C43—22no—
503C4⋊C4×C43—22no—
504C4⋊C4×C43—22no—
505C4⋊C4×C43—41no—
506C4⋊C4×C43—41no—
507C4⋊C4×C43—41no—
508C4⋊C4×C43—41no—
509C4⋊C4×C43—41no—
510C4⋊C4×C43—41no—
511C4⋊C4×C43—41no—
512C22⋊C4×C43—22no—
513C22⋊C4×C43—22no—
514C22⋊C4×C43—22no—
515C22⋊C4×C43—22no—
516C22⋊C4×C43—22no—
517C22⋊C4×C43—22no—
518C22⋊C4×C43—41no—
519C22⋊C4×C43—41no—
520C22⋊C4×C43—41no—
521C22⋊C4×C43C2×D414yes—
522C42×C43—41no—
523C22⋊Dic43—22no—
524C22⋊Dic43—41no—
525C22⋊Dic43—41no—
526C22⋊Dic43—41no—
527C22⋊Dic43—41no—
528C22⋊Dic43—41no—
529(C2×D43)⋊C4—22no—
530(C2×D43)⋊C4—22no—
531(C2×D43)⋊C4—22no—
532(C2×D43)⋊C4—22no—
533(C2×D43)⋊C4—22no—
534(C2×D43)⋊C4—22no—
535(C2×D43)⋊C4—22no—
536(C2×D43)⋊C4—22no—
537(C2×D43)⋊C4—22no—
538(C2×D43)⋊C4—22no—
539(C2×D43)⋊C4—22no—
540(C2×D43)⋊C4—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—41no—
544(C2×D43)⋊C4—41no—
545(C2×D43)⋊C4—41no—
546(C2×D43)⋊C4—41no—
547(C2×D43)⋊C4—41no—
548(C2×D43)⋊C4—41no—
549(C2×D43)⋊C4—41no—
550(C2×D43)⋊C4—41no—
551(C2×D43)⋊C4—41no—
552(C2×D43)⋊C4—41no—
553(C2×D43)⋊C4—41no—
554(C2×D43)⋊C4—41no—
555(C2×D43)⋊C4—41no—
556(C2×D43)⋊C4—41no—
557(C2×D43)⋊C4—41no—
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)⋊C4C2×D414yes—
565C4⋊Dic43—22no—
566C4⋊Dic43—22no—
567C4⋊Dic43—22no—
568C4⋊Dic43—22no—
569C4⋊Dic43—22no—
570C4⋊Dic43—41no—
571Dic43⋊C4—22no—
572Dic43⋊C4—22no—
573Dic43⋊C4—22no—
574Dic43⋊C4—22no—
575Dic43⋊C4—22no—
576Dic43⋊C4—22no—
577Dic43⋊C4—22no—
578Dic43⋊C4—22no—
579Dic43⋊C4—22no—
580Dic43⋊C4—22no—
581Dic43⋊C4—22no—
582Dic43⋊C4—41no—
583Dic43⋊C4—41no—
584Dic43⋊C4—41no—
585Dic43⋊C4—41no—
586Dic43⋊C4—41no—
587Dic43⋊C4—41no—
588Dic43⋊C4—41no—
589Dic43⋊C4—41no—
590Dic43⋊C4C2×D414yes—
591C4×Dic43—22no—
592C4×Dic43—22no—
593C4×Dic43—41no—
594C4×Dic43—41no—
595C4×Dic43—41no—
596C4×Dic43C2×D414yes—
597C23×C43—21no—
598C23×C43—21no—
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×C43C22×D412yes—
610C23×C43H(5,𝔽2)12yes—
611C23×C43C2511yescharacteristic
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—21no—
616C22×D43—21no—
617C22×D43—21no—
618C22×D43—21no—
619C22×D43—21no—
620C22×D43—21no—
621C22×D43—21no—
622C22×D43—21no—
623C22×D43—21no—
624C22×D43—21no—
625C22×D43—21no—
626C22×D43—21no—
627C22×D43—21no—
628C22×D43—21no—
629C22×D43—21no—
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—44no—
639C22×D43—44no—
640C22×D43—44no—
641C22×D43—44no—
642C22×D43—44no—
643C22×D43—44no—
644C22×D43—44no—
645C22×D43C22×D412yes—
646C22×D432−1+412yes—
647Q8×C43—82no—
648D4×C43—44no—
649C2×C4×C43—21no—
650C2×C4×C43—21no—
651C2×C4×C43—21no—
652C2×C4×C43—21no—
653C2×C4×C43—21no—
654C2×C4×C43—21no—
655C2×C4×C43—21no—
656C2×C4×C43—21no—
657C2×C4×C43—21no—
658C2×C4×C43—21no—
659C2×C4×C43—21no—
660C2×C4×C43—21no—
661C2×C4×C43—21no—
662C2×C4×C43—21no—
663C2×C4×C43—21no—
664C2×C4×C43—21no—
665C2×C4×C43—21no—
666C2×C4×C43—21no—
667C2×C4×C43—21no—
668C2×C4×C43—21no—
669C2×C4×C43—21no—
670C2×C4×C43—21no—
671C2×C4×C43—21no—
672C2×C4×C43—21no—
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—44no—
687C2×C4×C43—82no—
688C2×C4×C43C22×D412yes—
689C2×C4×C43C22×D412yes—
690C22⋊D43—44no—
691C22⋊D43—44no—
692C22⋊D43—44no—
693C22⋊D43—44no—
694C22⋊D43—44no—
695C22⋊D43—82no—
696C2×Dic43—28no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—21no—
700C2×Dic43—21no—
701C2×Dic43—21no—
702C2×Dic43—21no—
703C2×Dic43—21no—
704C2×Dic43—21no—
705C2×Dic43—21no—
706C2×Dic43—21no—
707C2×Dic43—21no—
708C2×Dic43—21no—
709C2×Dic43—21no—
710C2×Dic43—21no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
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—44no—
730C2×Dic43—44no—
731C2×Dic43C22×D412yes—
732C2×Dic43C22×D412yes—
733C2×Dic43C22×D412yes—
734C2×Dic43H(5,𝔽2)12yes—
735D172—44no—
736D172—44no—
737D172—82no—
738D172—82no—
739D172—82no—
740C4×D43—44no—
741C4×D43—44no—
742C4×D43—44no—
743C4×D43—44no—
744C4×D43—44no—
745C4×D43—82no—
746Dic86—44no—
747#36723—431nomaximal, Sylow
748C22×C43—22no—
749C22×C43—22no—
750C22×C43—22no—
751C22×C43—22no—
752C22×C43—22no—
753C22×C43—22no—
754C22×C43—41no—
755C22×C43—41no—
756C22×C43—41no—
757C22×C43—41no—
758C22×C43—41no—
759C22×C43—41no—
760C22×C43—41no—
761C22×C43—41no—
762C22×C43C23×D411yescharacteristic
763C22×C43C2×H(5,𝔽2)11yescharacteristic
764C22×C43C2×H(5,𝔽2)11yescharacteristic
765C22×C43C2×2−1+411yescharacteristic
766C22×C43#58511yescharacteristic
767C22×C43#58511yescharacteristic
768C22×C43#58511yescharacteristic
769C2×D43—22no—
770C2×D43—22no—
771C2×D43—22no—
772C2×D43—22no—
773C2×D43—22no—
774C2×D43—22no—
775C2×D43—416no—
776C2×D43—41no—
777C2×D43—41no—
778C2×D43—41no—
779C2×D43—41no—
780C2×D43—41no—
781C2×D43—41no—
782C2×D43—41no—
783C2×D43—41no—
784C2×D43—41no—
785C2×D43—41no—
786C2×D43—41no—
787C2×D43—41no—
788C2×D43—41no—
789C2×D43—41no—
790C2×D43—41no—
791C2×D43—41no—
792C2×D43—41no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
796C2×D43—41no—
797C2×D43—41no—
798C4×C43—22no—
799C4×C43—22no—
800C4×C43—41no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811Dic43—22no—
812Dic43—22no—
813Dic43—22no—
814Dic43—22no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823C2×#539—431no—
824C2×#525—431no—
825#2849—431no—
826#2848—431no—
827#2707—431no—
828#2706—431no—
829#2704—431no—
830#2703—431no—
831#2701—431no—
832#2698—431no—
833#2697—431no—
834#2685—431no—
835#2683—431no—
836#2682—431no—
837#2681—431no—
838#2681—431no—
839#2680—431no—
840#2680D4311yescharacteristic, complemented
841#2678—431no—
842#2678—431no—
843#2638—431no—
844#2630—431no—
845#2611—431no—
846#2603—431no—
847#2601—431no—
848#2600—431no—
849#2579—431no—
850#2566—431no—
851#2407—431no—
852#2406—431no—
853#2319—431no—
854C2×C43—42no—
855C2×C43—42no—
856C2×C43#344911yescharacteristic
857C2×C43#348411yescharacteristic
858C2×C43#348911yescharacteristic
859C2×C43#353311yescharacteristic
860C2×C43#353511yescharacteristic
861C2×C43#353911yescharacteristic
862C2×C43#354111yescharacteristic
863D43—42no—
864D43—42no—
865D43—81no—
866D43—81no—
867C22×#41—431no—
868C24×C4—431no—
869#539—868no—
870C2×#126—431no—
871C2×#126—431no—
872C2×#125—431no—
873C2×#125—431no—
874#525—868no—
875C2×#123—431no—
876C2×#123—431no—
877C2×#123—431no—
878C2×#123—431no—
879C2×#123—431no—
880C2×#123—431no—
881C2×#123—431no—
882C2×#123C2×D4311yescharacteristic
883C2×#123C2×D4311yescharacteristic
884C2×C22⋊Q8—431no—
885C2×C22⋊Q8—431no—
886C2×C22⋊Q8—431no—
887C2×C22⋊Q8—431no—
888C2×C22⋊Q8—431no—
889C2×C22⋊Q8—431no—
890C2×C22⋊Q8C2×D4311yescharacteristic
891C2×C22⋊Q8C2×D4311yescharacteristic, complemented
892C2×#121—431no—
893C2×#121—431no—
894C2×#121—431no—
895C2×#121—431no—
896C2×#120—431no—
897C2×#120—431no—
898C2×#120—431no—
899C2×C4×D4—431no—
900C2×C4×D4—431no—
901C2×C4×D4—431no—
902C2×C4×D4—431no—
903C2×C4×D4—431no—
904C2×#117—431no—
905C22×C4⋊C4—431no—
906#400—431no—
907#399—431no—
908#398—431no—
909#398—431no—
910#398—431no—
911#398—431no—
912#398—431no—
913#398C2×D4311yescharacteristic, complemented
914#398C2×D4311yescharacteristic, complemented
915#397—431no—
916#397—431no—
917#397—431no—
918#397—431no—
919#397—431no—
920#397C2×D4311yescharacteristic
921#397C2×D4311yescharacteristic, complemented
922#396—431no—
923#396—431no—
924#396—431no—
925#396—431no—
926#396—431no—
927#396—431no—
928#396—431no—
929#396—431no—
930#396—431no—
931#396—431no—
932#395—431no—
933#395—431no—
934#395C2×D4311yescharacteristic, complemented
935#394—431no—
936#394—431no—
937#394—431no—
938#394—431no—
939#394—431no—
940#394—431no—
941#394—431no—
942#394—431no—
943#394—431no—
944#394—431no—
945#394—431no—
946#394—431no—
947#394C2×D4311yescharacteristic
948#393—431no—
949#392—431no—
950#392—431no—
951#392—431no—
952#392—431no—
953#392—431no—
954#391—431no—
955#390—431no—
956#390—431no—
957#390—431no—
958#390—431no—
959#390—431no—
960#390—431no—
961#390—431no—
962#390—431no—
963#389—431no—
964#389—431no—
965#389—431no—
966#389—431no—
967#389—431no—
968#388—431no—
969#388—431no—
970#388—431no—
971#388—431no—
972#388—431no—
973#388—431no—
974#388—431no—
975#388—431no—
976#388—431no—
977#388—431no—
978#388C2×D4311yescharacteristic
979#388C2×D4311yescharacteristic, complemented
980#387—431no—
981#387—431no—
982#387—431no—
983#387—431no—
984#386—431no—
985#386—431no—
986#386—431no—
987#386—431no—
988#386—431no—
989#386—431no—
990#386—431no—
991#386—431no—
992#386—431no—
993#386—431no—
994#385—431no—
995#385—431no—
996#385—431no—
997#385—431no—
998#385—431no—
999#385—431no—
1000#385—431no—
1001#385—431no—
1002#385—431no—
1003#385—431no—
1004#385—431no—
1005#385—431no—
1006#385—431no—
1007#385—431no—
1008#385C2×D4311yescharacteristic
1009#385C2×D4311yescharacteristic, complemented
1010#384C2×D4311yescharacteristic, complemented
1011#382—431no—
1012#381—431no—
1013#381—431no—
1014#381—431no—
1015#380—431no—
1016#380—431no—
1017#380—431no—
1018#380—431no—
1019#379—431no—
1020#379—431no—
1021#379—431no—
1022C4×C4⋊C4—431no—
1023#376—431no—
1024C43#3672311yescharacteristic, complemented, Sylow
1025C25—431no—
1026C2×#41—864no—
1027C2×#41—1722no—
1028C2×#41—1722no—
1029C22×Q8—431no—
1030C22×Q8C22×D4311yescharacteristic
1031C22×D4—431no—
1032C22×D4—431no—
1033C22×D4—431no—
1034C22×D4—431no—
1035C22×D4—431no—
1036C22×D4—431no—
1037C22×D4—431no—
1038C22×D4—431no—
1039C22×D4—431no—
1040C22×D4—431no—
1041C22×D4—431no—
1042C22×D4C22×D4311yescharacteristic
1043C23×C4—431no—
1044C23×C4—431no—
1045C23×C4—431no—
1046C23×C4—431no—
1047C23×C4—431no—
1048C23×C4—431no—
1049C23×C4—431no—
1050C23×C4—431no—
1051C23×C4—431no—
1052C23×C4—864no—
1053C23×C4—1722no—
1054C23×C4—1722no—
1055C23×C4C22×D4311yescharacteristic
1056C23×C4C22×D4311yescharacteristic
1057#126—864no—
1058#126—864no—
1059#125—864no—
1060#125—864no—
1061#123—24no—
1062#123—42no—
1063#123—864no—
1064#123—864no—
1065#123—864no—
1066#123—864no—
1067#123—864no—
1068#123—1722no—
1069#123—1722no—
1070C22⋊Q8—24no—
1071C22⋊Q8—42no—
1072C22⋊Q8—864no—
1073C22⋊Q8—864no—
1074C22⋊Q8—864no—
1075C22⋊Q8—864no—
1076C22⋊Q8—1722no—
1077C22⋊Q8—1722no—
1078#121—864no—
1079#121—864no—
1080#121—864no—
1081#121—1722no—
1082#120—864no—
1083#120—864no—
1084#120—1722no—
1085C4×D4—438no—
1086C4×D4—864no—
1087C4×D4—864no—
1088C4×D4—864no—
1089C4×D4—864no—
1090#117—864no—
1091C2×C4⋊C4—431no—
1092C2×C4⋊C4—431no—
1093C2×C4⋊C4—431no—
1094C2×C4⋊C4—431no—
1095C2×C4⋊C4—431no—
1096C2×C4⋊C4—431no—
1097C2×C4⋊C4—431no—
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—431no—
1114C2×C4⋊C4—431no—
1115C2×C4⋊C4—431no—
1116C2×C4⋊C4—431no—
1117C2×C4⋊C4—864no—
1118C2×C4⋊C4C22×D4311yescharacteristic
1119C2×C4⋊C4C22×D4311yescharacteristic
1120C2×C4⋊C4C22×D4311yescharacteristic
1121C2×C4⋊C4C22×D4311yescharacteristic
1122C2×C4⋊C4C22×D4311yescharacteristic
1123C2×C4⋊C4C22×D4311yescharacteristic
1124C2×C4⋊C4C22×D4311yescharacteristic
1125C2×C4⋊C4C22×D4311yescharacteristic
1126C2×C4⋊C4C22×D4311yescharacteristic
1127C2×C4⋊C4C22×D4311yescharacteristic
1128C2×C4⋊C4C22×D4311yescharacteristic
1129C2×C4⋊C4C22×D4311yescharacteristic
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—431no—
1166C2×C22⋊C4—431no—
1167C2×C22⋊C4—431no—
1168C2×C22⋊C4—431no—
1169C2×C22⋊C4—431no—
1170C2×C22⋊C4—431no—
1171C2×C22⋊C4—431no—
1172C2×C22⋊C4C22×D4311yescharacteristic
1173C2×C22⋊C4C22×D4311yescharacteristic
1174C2×C22⋊C4C22×D4311yescharacteristic
1175C2×C22⋊C4C22×D4311yescharacteristic
1176C2×C22⋊C4C22×D4311yescharacteristic
1177C2×C22⋊C4C22×D4311yescharacteristic
1178C2×C22⋊C4C22×D4311yescharacteristic
1179C2×C22⋊C4C22×D4311yescharacteristic
1180C2×C22⋊C4C22×D4311yescharacteristic
1181C2×C22⋊C4C22×D4311yescharacteristic
1182C2×C42—431no—
1183C2×C42—431no—
1184C2×C42—431no—
1185C2×C42—431no—
1186C2×C42—431no—
1187C2×C42—431no—
1188C2×C42C22×D4311yescharacteristic
1189#95—431no—
1190#95—431no—
1191#95—431no—
1192#95—431no—
1193#95—431no—
1194#95—431no—
1195#95—431no—
1196#95—431no—
1197#95—431no—
1198#95—431no—
1199#95—431no—
1200#95—431no—
1201#95—431no—
1202#95—431no—
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#95C22×D4311yescharacteristic
1214#95C22×D4311yescharacteristic
1215#95C22×D4311yescharacteristic
1216#95C22×D4311yescharacteristic
1217#95C22×D4311yescharacteristic
1218#95C22×D4311yescharacteristic
1219#95C22×D4311yescharacteristic
1220#95C22×D4311yescharacteristic
1221C24—431no—
1222C24—431no—
1223C24—431no—
1224C24—431no—
1225C24—862no—
1226C24—862no—
1227C24—862no—
1228C24—1721no—
1229C24—1721no—
1230C24—1721no—
1231C24—1721no—
1232C24C23×D4311yescharacteristic
1233C24C23×D4311yescharacteristic
1234#41—17216no—
1235C2×Q8—22no—
1236C2×Q8—41no—
1237C2×Q8—41no—
1238C2×Q8—862no—
1239C2×Q8—862no—
1240C2×Q8—1721no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—41no—
1244C2×D4—434no—
1245C2×D4—862no—
1246C2×D4—862no—
1247C2×D4—862no—
1248C2×D4—862no—
1249C2×D4—862no—
1250C2×D4—862no—
1251C2×D4—862no—
1252C2×D4—862no—
1253C2×D4—862no—
1254C2×D4—862no—
1255C2×D4—862no—
1256C2×D4—862no—
1257C2×D4—862no—
1258C2×D4—1721no—
1259C2×D4—1721no—
1260C2×D4—1721no—
1261C2×D4—1721no—
1262C2×D4—1721no—
1263C2×D4—1721no—
1264C2×D4—1721no—
1265C2×D4—1721no—
1266C2×D4—1721no—
1267C2×D4—1721no—
1268C2×D4—1721no—
1269C2×D4—1721no—
1270C2×D4—1721no—
1271C2×D4—1721no—
1272C2×D4—1721no—
1273C2×D4—1721no—
1274C2×D4—1721no—
1275C2×D4—1721no—
1276C2×D4—1721no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—431no—
1284C22×C4—431no—
1285C22×C4—431no—
1286C22×C4—431no—
1287C22×C4—434no—
1288C22×C4—434no—
1289C22×C4—431no—
1290C22×C4—431no—
1291C22×C4—431no—
1292C22×C4—431no—
1293C22×C4—431no—
1294C22×C4—431no—
1295C22×C4—431no—
1296C22×C4—431no—
1297C22×C4—862no—
1298C22×C4—862no—
1299C22×C4—862no—
1300C22×C4—862no—
1301C22×C4—862no—
1302C22×C4—862no—
1303C22×C4—862no—
1304C22×C4—862no—
1305C22×C4—862no—
1306C22×C4—862no—
1307C22×C4—862no—
1308C22×C4—1721no—
1309C22×C4—1721no—
1310C22×C4—1721no—
1311C22×C4—1721no—
1312C22×C4—1721no—
1313C22×C4—1721no—
1314C22×C4—1721no—
1315C22×C4—1721no—
1316C22×C4—1721no—
1317C22×C4—1721no—
1318C22×C4—17216no—
1319C22×C4—1721no—
1320C22×C4—1721no—
1321C22×C4—1721no—
1322C22×C4—1721no—
1323C22×C4C23×D4311yescharacteristic
1324C22×C4C23×D4311yescharacteristic
1325C22×C4C23×D4311yescharacteristic
1326C22×C4C23×D4311yescharacteristic
1327C22×C4C23×D4311yescharacteristic
1328C22×C4C23×D4311yescharacteristic
1329C22×C4C23×D4311yescharacteristic
1330C22×C4C23×D4311yescharacteristic
1331C22×C4C23×D4311yescharacteristic
1332C22×C4C23×D4311yescharacteristic
1333C22×C4C23×D4311yescharacteristic
1334C22×C4C23×D4311yescharacteristic
1335C22×C4C23×D4311yescharacteristic
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—434no—
1349C4⋊C4—862no—
1350C4⋊C4—862no—
1351C4⋊C4—862no—
1352C4⋊C4—862no—
1353C4⋊C4—862no—
1354C4⋊C4—862no—
1355C4⋊C4—862no—
1356C4⋊C4—862no—
1357C4⋊C4—862no—
1358C4⋊C4—862no—
1359C4⋊C4—862no—
1360C4⋊C4—862no—
1361C4⋊C4—862no—
1362C4⋊C4—862no—
1363C4⋊C4—862no—
1364C4⋊C4—862no—
1365C4⋊C4—1721no—
1366C4⋊C4—1721no—
1367C4⋊C4—1721no—
1368C4⋊C4—1721no—
1369C4⋊C4—1721no—
1370C4⋊C4—1721no—
1371C4⋊C4—1721no—
1372C4⋊C4—1721no—
1373C4⋊C4—1721no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—434no—
1384C22⋊C4—862no—
1385C22⋊C4—862no—
1386C22⋊C4—862no—
1387C22⋊C4—862no—
1388C22⋊C4—862no—
1389C22⋊C4—862no—
1390C22⋊C4—862no—
1391C22⋊C4—862no—
1392C22⋊C4—862no—
1393C22⋊C4—862no—
1394C22⋊C4—862no—
1395C22⋊C4—862no—
1396C22⋊C4—862no—
1397C22⋊C4—862no—
1398C22⋊C4—862no—
1399C22⋊C4—1721no—
1400C22⋊C4—1721no—
1401C22⋊C4—1721no—
1402C22⋊C4—1721no—
1403C22⋊C4—1721no—
1404C22⋊C4—1721no—
1405C22⋊C4—1721no—
1406C22⋊C4—1721no—
1407C22⋊C4—1721no—
1408C22⋊C4—1721no—
1409C22⋊C4—1721no—
1410C22⋊C4—1721no—
1411C22⋊C4—1721no—
1412C22⋊C4—1721no—
1413C22⋊C4—1721no—
1414C22⋊C4—1721no—
1415C22⋊C4—1721no—
1416C22⋊C4—1721no—
1417C22⋊C4—1721no—
1418C22⋊C4—1721no—
1419C22⋊C4—1721no—
1420C22⋊C4—1721no—
1421C22⋊C4—1721no—
1422C22⋊C4—1721no—
1423C22⋊C4—1721no—
1424C22⋊C4—1721no—
1425C22⋊C4D4×D4314yes—
1426C42—41no—
1427C42—434no—
1428C42—862no—
1429C42—862no—
1430C42—1721no—
1431C42—1721no—
1432C42—1721no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—432no—
1446C23—432no—
1447C23—861no—
1448C23—861no—
1449C23—861no—
1450C23—861no—
1451C23—861no—
1452C23—861no—
1453C23—861no—
1454C23—861no—
1455C23—861no—
1456C23—861no—
1457C23—861no—
1458C23—861no—
1459C23—861no—
1460C23—861no—
1461C23—861no—
1462C23—861no—
1463C23—861no—
1464C23—861no—
1465C23—861no—
1466C23—861no—
1467C23—861no—
1468C23—861no—
1469C23—861no—
1470C23—861no—
1471C23—861no—
1472C23—861no—
1473C23—1724no—
1474C23—1724no—
1475C23—1724no—
1476C23—1724no—
1477C23—1724no—
1478C23—1724no—
1479C23—1724no—
1480C23C2×D4×D4312yes—
1481C23#1306337012yes—
1482C23C24×D4311yescharacteristic
1483Q8—82no—
1484Q8—1724no—
1485D4—44no—
1486D4—3442no—
1487D4—3442no—
1488D4—3442no—
1489D4—3442no—
1490D4—1724no—
1491D4—1724no—
1492D4—1724no—
1493D4—1724no—
1494D4—1724no—
1495D4—1724no—
1496D4—1724no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—82no—
1536C2×C4—432no—
1537C2×C4—432no—
1538C2×C4—432no—
1539C2×C4—432no—
1540C2×C4—868no—
1541C2×C4—861no—
1542C2×C4—861no—
1543C2×C4—861no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—861no—
1557C2×C4—861no—
1558C2×C4—861no—
1559C2×C4—861no—
1560C2×C4—861no—
1561C2×C4—861no—
1562C2×C4—861no—
1563C2×C4—861no—
1564C2×C4—861no—
1565C2×C4—861no—
1566C2×C4—861no—
1567C2×C4—861no—
1568C2×C4—861no—
1569C2×C4—861no—
1570C2×C4—861no—
1571C2×C4—861no—
1572C2×C4—861no—
1573C2×C4—3442no—
1574C2×C4—1724no—
1575C2×C4—1724no—
1576C2×C4—1724no—
1577C2×C4—1724no—
1578C2×C4—1724no—
1579C2×C4—1724no—
1580C2×C4—1724no—
1581C2×C4C2×D4×D4312yes—
1582C2×C4C2×D4×D4312yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—862no—
1598C22—862no—
1599C22—862no—
1600C22—862no—
1601C22—862no—
1602C22—862no—
1603C22—17216no—
1604C22—1721no—
1605C22—1721no—
1606C22—1721no—
1607C22—1721no—
1608C22—1721no—
1609C22—1721no—
1610C22—1721no—
1611C22—1721no—
1612C22—1721no—
1613C22—1721no—
1614C22—1721no—
1615C22—1721no—
1616C22—1721no—
1617C22—1721no—
1618C22—1721no—
1619C22—1721no—
1620C22—1721no—
1621C22—1721no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22—1721no—
1626C22C22×D4×D4311yescharacteristic
1627C22H(5,𝔽2)×D4311yescharacteristic
1628C22C2×#1306337011yescharacteristic
1629C222−1+4×D4311yescharacteristic
1630C22#1458373511yescharacteristic
1631C22#1458373611yescharacteristic
1632C22#1458373611yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—862no—
1647C4—862no—
1648C4—862no—
1649C4—862no—
1650C4—1721no—
1651C4—1721no—
1652C4—1721no—
1653C4—1721no—
1654C4—1721no—
1655C4—1721no—
1656C4—1721no—
1657C4—1721no—
1658C2—42no—
1659C2—42no—
1660C2—3441no—
1661C2—3441no—
1662C2—1722no—
1663C2—1722no—
1664C2#1914792711yescharacteristic
1665C2#1914822311yescharacteristic
1666C2#1914826911yescharacteristic
1667C2#1914876511yescharacteristic
1668C2#1914879411yescharacteristic
1669C2#1914885311yescharacteristic
1670C2#1914888511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2680C2
hypercenter#2680D43
hypocenterC43#36723
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2680

Complements

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

NH ≅ G/Ntype
1. C2×#14583498C2semidirect
2. C2×#14583407C2semidirect
3. #19142890C2semidirect
4. #19142879C2semidirect
5. #19141302C2semidirect
6. #19141279C2semidirect
7. #19141259C2semidirect
8. #19141236C2semidirect
9. #19141213C2semidirect
10. #19141162C2semidirect
11. #19141161C2semidirect
12. #19140983C2semidirect
13. #19140969C2semidirect
14. #19140961C2semidirect
15. #19140943C2semidirect
16. #19140943C2semidirect
17. #19140935C2semidirect
18. #19140919C2semidirect
19. #19140914C2semidirect
20. #19140521C2semidirect
21. #19140445C2semidirect
22. #19140294C2semidirect
23. #19140223C2semidirect
24. #19140197C2semidirect
25. #19140183C2semidirect
26. #19139947C2semidirect
27. #19139792C2semidirect
28. #19137935C2semidirect
29. #19137927C2semidirect
30. #19137236C2semidirect
31. C43×#2680C2semidirect
36. C2×#13063320C22semidirect
37. C2×#13063316C22semidirect
38. C2×#13063316C22semidirect
44. C2×#13063309C22semidirect
46. C2×#13063308C22semidirect
49. C2×#13063303C22semidirect
52. C2×#13063301C22semidirect
64. C2×(C22⋊D43)⋊C4C22semidirect
66. C22×Dic43⋊C4C22semidirect
67. #14582839C22semidirect
69. #14582833C22semidirect
70. #14582830C22semidirect
71. #14582830C22semidirect
72. #14582830C22semidirect
73. #14582829C22semidirect
75. #14582826C22semidirect
78. #14582825C22semidirect
81. #14582823C22semidirect
85. #14582821C22semidirect
86. #14582821C22semidirect
87. #14582821C22semidirect
88. #14582821C22semidirect
89. #14582819C22semidirect
90. #14582819C22semidirect
96. #14582816C22semidirect
101. #14582814C22semidirect
102. #14582814C22semidirect
103. #14582810C22semidirect
107. #14582808C22semidirect
109. #14582803C22semidirect
113. #14582800C22semidirect
118. #14582796C22semidirect
119. #14582796C22semidirect
120. #14582796C22semidirect
121. #14582794C22semidirect
122. #14582794C22semidirect
125. #14582792C22semidirect
127. #14582791C22semidirect
129. #14582790C22semidirect
132. #14582788C22semidirect
133. #14582781C22semidirect
134. #14582781C22semidirect
135. #14582781C22semidirect
136. #14582781C22semidirect
143. #14582777C22semidirect
146. #14582776C22semidirect
150. #14582771C22semidirect
157. #14582770C22semidirect
158. #14582770C22semidirect
159. #14582770C22semidirect
160. #14582770C22semidirect
161. #14582764C22semidirect
164. #14582760C22semidirect
166. #14582757C22semidirect
172. C4×Dic43⋊C4C22semidirect
173. #14582744C22semidirect
177. C2×C22⋊Q8×C43C22semidirect
178. C43×#398C22semidirect
179. C43×#398C22semidirect
181. C43×#397C22semidirect
182. C43×#395C22semidirect
185. C43×#388C22semidirect
187. C43×#385C22semidirect
188. C43×#384C22semidirect
245. (C22⋊D43)⋊C4D4semidirect
840. #2680D43semidirect
891. C2×C22⋊Q8C2×D43semidirect
913. #398C2×D43semidirect
914. #398C2×D43semidirect
921. #397C2×D43semidirect
934. #395C2×D43semidirect
979. #388C2×D43semidirect
1009. #385C2×D43semidirect
1010. #384C2×D43semidirect
1024. C43#36723semidirect

Maximal subgroups

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

subgroupindex
C2×#145834982
C2×#145834072
#191428902
#191428792
#191413022
#191412792
#191412592
#191412362
#191412132
#191411622
#191411612
#191409832
#191409692
#191409612
#191409432
#191409352
#191409192
#191409142
#191405212
#191404452
#191402942
#191402232
#191401972
#191401832
#191399472
#191397922
#191379352
#191379272
#191372362
C43×#26802
#3672343