Finite Group Databasebeta

← #25304485

Subgroups — #25304485

Order 11008.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142879C211yesmaximal, characteristic, complemented
2#19142876C211yesmaximal, characteristic, complemented
3#19142449C211yesmaximal, characteristic, complemented
4#19142251C211yesmaximal, characteristic, complemented
5#19142225C211yesmaximal, characteristic, complemented
6#19142217C211yesmaximal, characteristic, complemented
7#19142209C211yesmaximal, characteristic, complemented
8#19141911C211yesmaximal, characteristic, complemented
9#19141878C211yesmaximal, characteristic, complemented
10#19141817C211yesmaximal, characteristic, complemented
11#19141705C211yesmaximal, characteristic, complemented
12#19141586C211yesmaximal, characteristic, complemented
13#19141384C211yesmaximal, characteristic, complemented
14#19141232C211yesmaximal, characteristic, complemented
15#19141230C211yesmaximal, characteristic, complemented
16#19141028C211yesmaximal, characteristic, complemented
17#19140895C211yesmaximal, characteristic, complemented
18#19140308C211yesmaximal, characteristic, complemented
19#19140306C211yesmaximal, characteristic, complemented
20#19138983C211yesmaximal, characteristic, complemented
21#19138914C211yesmaximal, characteristic, complemented
22#19138836C211yesmaximal, characteristic, complemented
23#19138724C211yesmaximal, characteristic, complemented
24#19138143C211yesmaximal, characteristic, complemented
25#19138138C211yesmaximal, characteristic, complemented
26#19138079C211yesmaximal, characteristic, complemented
27#19138054C211yesmaximal, characteristic, complemented
28#19137257C211yesmaximal, characteristic, complemented
29#19137251C211yesmaximal, characteristic, complemented
30#386×D43C211yesmaximal, characteristic, complemented
31C43×#2696C211yesmaximal, characteristic, complemented
32C22×D4×D43C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C2×#13063318C2211yescharacteristic, complemented
35C2×#13063314C2211yescharacteristic, complemented
36C2×#13063310C2211yescharacteristic
37C2×#13063307C2211yescharacteristic
38C2×#13063301C2211yescharacteristic
39C2×#13063301C2211yescharacteristic, complemented
40C2×#13063298C2211yescharacteristic
41C2×#13063298C2211yescharacteristic, complemented
42C2×#13063298C2211yescharacteristic, complemented
43C2×#13063297C2211yescharacteristic, complemented
44C2×#13063295C2211yescharacteristic
45C2×#13063295C2211yescharacteristic
46C2×#13063293C2211yescharacteristic
47C2×#13063293C2211yescharacteristic
48C2×C4×D172C2211yescharacteristic
49C2×C4×C22⋊D43C2211yescharacteristic
50C2×C22⋊C4×D43C2211yescharacteristic
51C2×C22⋊C4×D43C2211yescharacteristic
52C2×C22⋊C4×D43C2211yescharacteristic
53C43⋊#401C2211yescharacteristic, complemented
54#14582841C2211yescharacteristic, complemented
55#14582840C2211yescharacteristic, complemented
56#14582839C2211yescharacteristic, complemented
57#14582838C2211yescharacteristic, complemented
58#14582837C2211yescharacteristic, complemented
59#14582834C2211yescharacteristic, complemented
60#14582831C2211yescharacteristic, complemented
61#14582830C2211yescharacteristic, complemented
62#14582828C2211yescharacteristic, complemented
63#14582828C2211yescharacteristic, complemented
64#14582827C2211yescharacteristic, complemented
65#14582827C2211yescharacteristic, complemented
66#14582827C2211yescharacteristic, complemented
67#14582827C2211yescharacteristic, complemented
68#14582826C2211yescharacteristic, complemented
69#14582825C2211yescharacteristic, complemented
70#14582823C2211yescharacteristic, complemented
71#14582822C2211yescharacteristic, complemented
72#14582821C2211yescharacteristic, complemented
73#14582817C2211yescharacteristic
74#14582817C2211yescharacteristic, complemented
75#14582816C2211yescharacteristic
76#14582816C2211yescharacteristic, complemented
77#14582815C2211yescharacteristic
78#14582815C2211yescharacteristic
79#14582815C2211yescharacteristic, complemented
80#14582815C2211yescharacteristic, complemented
81#14582815C2211yescharacteristic, complemented
82#14582814C2211yescharacteristic
83#14582814C2211yescharacteristic
84#14582814C2211yescharacteristic, complemented
85#14582813C2211yescharacteristic
86#14582813C2211yescharacteristic, complemented
87#14582809C2211yescharacteristic
88#14582808C2211yescharacteristic
89#14582808C2211yescharacteristic
90#14582808C2211yescharacteristic
91#14582807C2211yescharacteristic
92#14582807C2211yescharacteristic
93#14582807C2211yescharacteristic
94#14582807C2211yescharacteristic, complemented
95#14582806C2211yescharacteristic, complemented
96#14582802C2211yescharacteristic, complemented
97#14582800C2211yescharacteristic, complemented
98#14582799C2211yescharacteristic, complemented
99#14582799C2211yescharacteristic, complemented
100#14582799C2211yescharacteristic, complemented
101#14582796C2211yescharacteristic, complemented
102#14582793C2211yescharacteristic, complemented
103#14582793C2211yescharacteristic, complemented
104#14582793C2211yescharacteristic, complemented
105#14582792C2211yescharacteristic, complemented
106#14582792C2211yescharacteristic, complemented
107#14582792C2211yescharacteristic, complemented
108#14582791C2211yescharacteristic, complemented
109#14582791C2211yescharacteristic, complemented
110#14582791C2211yescharacteristic, complemented
111#14582791C2211yescharacteristic, complemented
112#14582790C2211yescharacteristic, complemented
113#14582790C2211yescharacteristic, complemented
114#14582789C2211yescharacteristic, complemented
115#14582789C2211yescharacteristic, complemented
116#14582788C2211yescharacteristic, complemented
117#14582788C2211yescharacteristic, complemented
118#14582787C2211yescharacteristic, complemented
119#14582787C2211yescharacteristic, complemented
120#14582783C2211yescharacteristic, complemented
121#14582781C2211yescharacteristic, complemented
122#14582781C2211yescharacteristic, complemented
123#14582780C2211yescharacteristic, complemented
124#14582779C2211yescharacteristic
125#14582778C2211yescharacteristic
126#14582778C2211yescharacteristic, complemented
127#14582778C2211yescharacteristic, complemented
128#14582778C2211yescharacteristic, complemented
129#14582778C2211yescharacteristic, complemented
130#14582777C2211yescharacteristic
131#14582777C2211yescharacteristic
132#14582777C2211yescharacteristic
133#14582777C2211yescharacteristic
134#14582777C2211yescharacteristic, complemented
135#14582777C2211yescharacteristic, complemented
136#14582776C2211yescharacteristic
137#14582775C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic
140#14582775C2211yescharacteristic
141#14582775C2211yescharacteristic, complemented
142#14582775C2211yescharacteristic, complemented
143#14582775C2211yescharacteristic, complemented
144#14582773C2211yescharacteristic
145#14582773C2211yescharacteristic, complemented
146#14582771C2211yescharacteristic, complemented
147#14582771C2211yescharacteristic, complemented
148#14582770C2211yescharacteristic
149#14582770C2211yescharacteristic
150#14582770C2211yescharacteristic
151#14582770C2211yescharacteristic, complemented
152#14582770C2211yescharacteristic, complemented
153#14582766C2211yescharacteristic, complemented
154#14582763C2211yescharacteristic, complemented
155#14582761C2211yescharacteristic
156#14582761C2211yescharacteristic
157#14582761C2211yescharacteristic, complemented
158#14582759C2211yescharacteristic, complemented
159#14582758C2211yescharacteristic
160#14582758C2211yescharacteristic, complemented
161#14582757C2211yescharacteristic, complemented
162#14582756C2211yescharacteristic
163#14582756C2211yescharacteristic, complemented
164#14582754C2211yescharacteristic
165#14582754C2211yescharacteristic
166#14582754C2211yescharacteristic
167#14582754C2211yescharacteristic
168#14582746C2211yescharacteristic
169#14582746C2211yescharacteristic
170#95×D43C2211yescharacteristic
171#95×D43C2211yescharacteristic
172C2×#123×C43C2211yescharacteristic, complemented
173C2×C22⋊Q8×C43C2211yescharacteristic, complemented
174C43×#400C2211yescharacteristic, complemented
175C43×#397C2211yescharacteristic, complemented
176C43×#394C2211yescharacteristic
177C43×#393C2211yescharacteristic, complemented
178C43×#393C2211yescharacteristic, complemented
179C43×#392C2211yescharacteristic
180C43×#390C2211yescharacteristic, complemented
181C43×#388C2211yescharacteristic, complemented
182C43×#387C2211yescharacteristic, complemented
183C43×#386C2211yescharacteristic
184C43×#386C2211yescharacteristic, complemented
185C43×#386C2211yescharacteristic, complemented
186C43×#380C2211yescharacteristic, complemented
187C24×D43C2311yescharacteristic
188C24×D43C2311yescharacteristic
189C22×D172C2311yescharacteristic
190C22×D172C2311yescharacteristic
191C22×D172C2311yescharacteristic
192C22×D172C2311yescharacteristic
193C22×C22⋊D43C2311yescharacteristic
194C22×C22⋊D43C2311yescharacteristic
195C22×C22⋊D43C2311yescharacteristic
196C22×C22⋊D43C2311yescharacteristic
197C22×C22⋊D43C2311yescharacteristic
198C22×C22⋊D43C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C2×D4×D43—24no—
202C2×D4×D43—42no—
203C2×D4×D43—42no—
204C23×Dic43C2311yescharacteristic
205C22×C4×D43—42no—
206C22×C4×D43—42no—
207C22×C4×D43—42no—
208C22×C4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
211C22×C4×D43C2311yescharacteristic
212C22×C4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214C22×C4×D43C2311yescharacteristic
215C22×C4×D43C2311yescharacteristic
216#13063318—42no—
217#13063314—42no—
218#13063310—42no—
219#13063307—42no—
220#13063301—42no—
221#13063301—42no—
222#13063298—42no—
223#13063298—42no—
224#13063298—42no—
225#13063297—42no—
226#13063295—24no—
227#13063295—42no—
228#13063293—24no—
229#13063293—42no—
230C4×D172—42no—
231C4×C22⋊D43—42no—
232C2×C4⋊Dic43C2311yescharacteristic
233C2×C4⋊Dic43C2311yescharacteristic
234C2×C4⋊Dic43C2311yescharacteristic
235C2×C4⋊Dic43C2311yescharacteristic
236C2×C4⋊Dic43C2311yescharacteristic
237C2×Dic43⋊C4C2311yescharacteristic
238C2×Dic43⋊C4C2311yescharacteristic
239C2×Dic43⋊C4C2311yescharacteristic
240C2×Dic43⋊C4C2311yescharacteristic
241C2×Dic43⋊C4C2311yescharacteristic
242C2×Dic43⋊C4C2311yescharacteristic
243C2×Dic43⋊C4C2311yescharacteristic
244C2×Dic43⋊C4C2311yescharacteristic
245C2×Dic43⋊C4C2311yescharacteristic
246C2×Dic43⋊C4C2311yescharacteristic
247C2×Dic43⋊C4C2311yescharacteristic
248C2×Dic43⋊C4C2311yescharacteristic
249C2×C22⋊Dic43C2311yescharacteristic
250C2×C22⋊Dic43C2311yescharacteristic
251C2×C22⋊Dic43C2311yescharacteristic
252C2×C22⋊Dic43C2311yescharacteristic
253C2×C22⋊Dic43C2311yescharacteristic
254C2×C22⋊Dic43C2311yescharacteristic
255C2×C22⋊Dic43C2311yescharacteristic
256C2×C22⋊Dic43C2311yescharacteristic
257C2×C22⋊Dic43C2311yescharacteristic
258C2×C22⋊Dic43C2311yescharacteristic
259C2×C22⋊Dic43C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×C22⋊Dic43C2311yescharacteristic
262C2×(C2×D43)⋊C4C2311yescharacteristic
263C2×(C2×D43)⋊C4C2311yescharacteristic
264C2×(C2×D43)⋊C4C2311yescharacteristic
265C2×(C2×D43)⋊C4C2311yescharacteristic
266C2×(C2×D43)⋊C4C2311yescharacteristic
267C2×(C2×D43)⋊C4C2311yescharacteristic
268C2×(C2×D43)⋊C4C2311yescharacteristic
269C2×(C2×D43)⋊C4C2311yescharacteristic
270C2×(C2×D43)⋊C4C2311yescharacteristic
271C2×(C2×D43)⋊C4C2311yescharacteristic
272C2×(C2×D43)⋊C4C2311yescharacteristic
273C2×(C2×D43)⋊C4C2311yescharacteristic
274C2×(C2×D43)⋊C4C2311yescharacteristic
275C2×(C2×D43)⋊C4C2311yescharacteristic
276C2×(C2×D43)⋊C4C2311yescharacteristic
277C2×(C2×D43)⋊C4C2311yescharacteristic
278C2×(C2×D43)⋊C4C2311yescharacteristic
279C2×(C2×D43)⋊C4C2311yescharacteristic
280C2×(C2×D43)⋊C4C2311yescharacteristic
281C2×(C2×D43)⋊C4C2311yescharacteristic
282C2×(C2×D43)⋊C4C2311yescharacteristic
283C2×(C2×D43)⋊C4C2311yescharacteristic
284C2×(C2×D43)⋊C4C2311yescharacteristic
285C2×(C2×D43)⋊C4C2311yescharacteristic
286C2×(C2×D43)⋊C4C2311yescharacteristic
287C2×(C2×D43)⋊C4C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C22⋊C4×D43—42no—
295C22⋊C4×D43—42no—
296C22⋊C4×D43—42no—
297C2×C4×Dic43C2311yescharacteristic
298C2×C4×Dic43C2311yescharacteristic
299C2×C4×Dic43C2311yescharacteristic
300C2×C4×Dic43C2311yescharacteristic
301C2×C4×Dic43C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C43⋊#95C2311yescharacteristic
311C43⋊#95C2311yescharacteristic
312C43⋊#95C2311yescharacteristic
313C43⋊#95C2311yescharacteristic
314C43⋊#95C2311yescharacteristic
315C43⋊#95C2311yescharacteristic
316C43⋊#95C2311yescharacteristic
317C43⋊#95C2311yescharacteristic
318C43⋊#95C2311yescharacteristic
319C43⋊#95C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C22×Q8×C43C2311yescharacteristic
333C22×D4×C43C2311yescharacteristic
334C22×D4×C43C2311yescharacteristic
335C22×D4×C43C2311yescharacteristic
336C23×C4×C43C2311yescharacteristic
337C23×C4×C43C2311yescharacteristic
338#123×C43—42no—
339C22⋊Q8×C43—42no—
340C2×C4⋊C4×C43C2311yescharacteristic
341C2×C4⋊C4×C43C2311yescharacteristic
342C2×C4⋊C4×C43C2311yescharacteristic
343C2×C4⋊C4×C43C2311yescharacteristic
344C2×C4⋊C4×C43C2311yescharacteristic
345C2×C22⋊C4×C43C2311yescharacteristic
346C2×C22⋊C4×C43C2311yescharacteristic
347C2×C22⋊C4×C43C2311yescharacteristic
348C2×C22⋊C4×C43C2311yescharacteristic
349C2×C22⋊C4×C43C2311yescharacteristic
350C2×C22⋊C4×C43C2311yescharacteristic
351C2×C22⋊C4×C43C2311yescharacteristic
352C2×C22⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C22⋊C4×C43C2311yescharacteristic
358C2×C42×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369C24×C43C2411yescharacteristic
370C24×C43C2411yescharacteristic
371C24×C43C2411yescharacteristic
372C23×D43—22no—
373C23×D43—22no—
374C23×D43—22no—
375C23×D43—22no—
376C23×D43—22no—
377C23×D43—41no—
378C23×D43—41no—
379C23×D43—41no—
380C23×D43—41no—
381C23×D43—41no—
382C23×D43—41no—
383C23×D43—41no—
384C23×D43—41no—
385C23×D43#4114yes—
386C23×D43C2411yescharacteristic
387C23×D43C2411yescharacteristic
388C23×D43C2411yescharacteristic
389C23×D43C2411yescharacteristic
390C2×Q8×C43—22no—
391C2×Q8×C43—41no—
392C2×Q8×C43—41no—
393C2×D4×C43—22no—
394C2×D4×C43—22no—
395C2×D4×C43—41no—
396C2×D4×C43—41no—
397C2×D4×C43—41no—
398C2×D4×C43—41no—
399C2×D4×C43—41no—
400C2×D4×C43—41no—
401C2×D4×C43—41no—
402C22×C4×C43—22no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43—41no—
406C22×C4×C43—41no—
407C22×C4×C43—41no—
408C22×C4×C43C2411yescharacteristic
409C22×C4×C43C2411yescharacteristic
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
420C2×C22⋊D43—22no—
421C2×C22⋊D43—22no—
422C2×C22⋊D43—22no—
423C2×C22⋊D43—22no—
424C2×C22⋊D43—22no—
425C2×C22⋊D43—22no—
426C2×C22⋊D43—22no—
427C2×C22⋊D43—22no—
428C2×C22⋊D43—41no—
429C2×C22⋊D43—41no—
430C2×C22⋊D43—41no—
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⋊D43—41no—
441C2×C22⋊D43—41no—
442C2×C22⋊D43—41no—
443C2×C22⋊D43—41no—
444C22×Dic43—22no—
445C22×Dic43—41no—
446C22×Dic43—41no—
447C22×Dic43C2411yescharacteristic
448C22×Dic43C2411yescharacteristic
449C22×Dic43C2411yescharacteristic
450C22×Dic43C2411yescharacteristic
451C22×Dic43C2411yescharacteristic
452C22×Dic43C2411yescharacteristic
453C22×Dic43C2411yescharacteristic
454C22×Dic43C2411yescharacteristic
455C22×Dic43C2411yescharacteristic
456C22×Dic43C2411yescharacteristic
457C22×Dic43C2411yescharacteristic
458C22×Dic43C2411yescharacteristic
459D4×D43—416no—
460C2×D172—22no—
461C2×D172—22no—
462C2×D172—22no—
463C2×D172—22no—
464C2×D172—22no—
465C2×D172—41no—
466C2×D172—41no—
467C2×D172—41no—
468C2×D172—41no—
469C2×D172—41no—
470C2×D172—41no—
471C2×D172—41no—
472C2×C4×D43—22no—
473C2×C4×D43—22no—
474C2×C4×D43—22no—
475C2×C4×D43—22no—
476C2×C4×D43—22no—
477C2×C4×D43—22no—
478C2×C4×D43—22no—
479C2×C4×D43—22no—
480C2×C4×D43—22no—
481C2×C4×D43—22no—
482C2×C4×D43—22no—
483C2×C4×D43—41no—
484C2×C4×D43—41no—
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—41no—
496C2×C4×D43—416no—
497C4⋊C4×C43—22no—
498C4⋊C4×C43—41no—
499C4⋊C4×C43—41no—
500C4⋊C4×C43—41no—
501C4⋊C4×C43—41no—
502C22⋊C4×C43—22no—
503C22⋊C4×C43—22no—
504C22⋊C4×C43—22no—
505C22⋊C4×C43—41no—
506C22⋊C4×C43—41no—
507C22⋊C4×C43—41no—
508C22⋊C4×C43—41no—
509C22⋊C4×C43—41no—
510C22⋊C4×C43—41no—
511C22⋊C4×C43—41no—
512C22⋊C4×C43—41no—
513C22⋊C4×C43—41no—
514C22⋊C4×C43—41no—
515C42×C43—41no—
516C22⋊Dic43—22no—
517C22⋊Dic43—22no—
518C22⋊Dic43—41no—
519C22⋊Dic43—41no—
520C22⋊Dic43—41no—
521C22⋊Dic43—41no—
522C22⋊Dic43—41no—
523C22⋊Dic43—41no—
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—41no—
541(C2×D43)⋊C4—41no—
542(C2×D43)⋊C4—41no—
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—
561C4⋊Dic43—41no—
562C4⋊Dic43—41no—
563C4⋊Dic43—41no—
564C4⋊Dic43—41no—
565C4⋊Dic43—41no—
566Dic43⋊C4—22no—
567Dic43⋊C4—22no—
568Dic43⋊C4—22no—
569Dic43⋊C4—41no—
570Dic43⋊C4—41no—
571Dic43⋊C4—41no—
572Dic43⋊C4—41no—
573Dic43⋊C4—41no—
574Dic43⋊C4—41no—
575Dic43⋊C4—41no—
576Dic43⋊C4—41no—
577Dic43⋊C4—41no—
578C4×Dic43—41no—
579C4×Dic43—41no—
580C4×Dic43—41no—
581C4×Dic43—41no—
582C4×Dic43—41no—
583C23×C43—21no—
584C23×C43—21no—
585C23×C43—21no—
586C23×C43—21no—
587C23×C43—21no—
588C23×C43—21no—
589C23×C43—21no—
590C23×C43—21no—
591C23×C43—21no—
592C23×C43—21no—
593C23×C43—21no—
594C23×C43—21no—
595C23×C43—21no—
596C23×C43—21no—
597C23×C43—21no—
598C23×C43—21no—
599C23×C43—21no—
600C23×C43—21no—
601C23×C43—21no—
602C23×C43—21no—
603C23×C43C2×#4112yes—
604C23×C43C2511yescharacteristic
605C22×D43—21no—
606C22×D43—21no—
607C22×D43—21no—
608C22×D43—21no—
609C22×D43—21no—
610C22×D43—21no—
611C22×D43—21no—
612C22×D43—21no—
613C22×D43—21no—
614C22×D43—21no—
615C22×D43—28no—
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—44no—
631C22×D43—44no—
632C22×D43—44no—
633C22×D43—44no—
634C22×D43—44no—
635C22×D43—44no—
636C22×D43—44no—
637C22×D43—44no—
638C22×D43—44no—
639C22×D43—82no—
640C22×D43—82no—
641C22×D43—82no—
642C22×D43—82no—
643C22×D43C2×#4112yes—
644C22×D43C2×#4112yes—
645C22×D43H(5,𝔽2)12yes—
646C22×D43H(5,𝔽2)12yes—
647Q8×C43—82no—
648D4×C43—44no—
649D4×C43—82no—
650D4×C43—82no—
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×C43H(5,𝔽2)12yes—
689C22⋊D43—44no—
690C22⋊D43—44no—
691C22⋊D43—44no—
692C22⋊D43—82no—
693C22⋊D43—82no—
694C22⋊D43—82no—
695C22⋊D43—82no—
696C22⋊D43—82no—
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—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—44no—
733C2×Dic43H(5,𝔽2)12yes—
734D172—44no—
735D172—44no—
736D172—82no—
737D172—82no—
738C4×D43—44no—
739C4×D43—44no—
740C4×D43—44no—
741C4×D43—44no—
742C4×D43—44no—
743C4×D43—82no—
744C4×D43—82no—
745C4×D43—82no—
746#36758—431nomaximal, Sylow
747C22×C43—22no—
748C22×C43—22no—
749C22×C43—22no—
750C22×C43—41no—
751C22×C43—41no—
752C22×C43—41no—
753C22×C43—41no—
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×C43—41no—
763C22×C43—41no—
764C22×C43—41no—
765C22×C43—41no—
766C22×C43—41no—
767C22×C43—41no—
768C22×C43C22×#4111yescharacteristic
769C22×C43C2×H(5,𝔽2)11yescharacteristic
770C22×C43C2×H(5,𝔽2)11yescharacteristic
771C22×C43C2×H(5,𝔽2)11yescharacteristic
772C22×C43C2×H(5,𝔽2)11yescharacteristic
773C22×C43#58511yescharacteristic
774C22×C43#58511yescharacteristic
775C2×D43—22no—
776C2×D43—22no—
777C2×D43—22no—
778C2×D43—22no—
779C2×D43—22no—
780C2×D43—22no—
781C2×D43—22no—
782C2×D43—22no—
783C2×D43—22no—
784C2×D43—416no—
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—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—88no—
804C2×D43#53814yes—
805C4×C43—22no—
806C4×C43—41no—
807C4×C43—41no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43—41no—
816C4×C43—41no—
817Dic43—22no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43—41no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829#2848—431no—
830#2847—431no—
831#2797—431no—
832#2781—431no—
833#2779—431no—
834#2778—431no—
835#2778—431no—
836#2756—431no—
837#2753—431no—
838#2749—431no—
839#2741—431no—
840#2730—431no—
841#2714—431no—
842#2703—431no—
843#2702—431no—
844#2696D4311yescharacteristic, complemented
845#2688—431no—
846#2676—431no—
847#2613—431no—
848#2613—431no—
849#2493—431no—
850#2488—431no—
851#2480—431no—
852#2472—431no—
853#2425—431no—
854#2424—431no—
855#2419—431no—
856#2418—431no—
857#2321—431no—
858#2321—431no—
859C2×#386—431no—
860C2×C43—42no—
861C2×C43—81no—
862C2×C43—81no—
863C2×C43C2×#53811yescharacteristic
864C2×C43#350511yescharacteristic
865C2×C43#350511yescharacteristic
866C2×C43#353211yescharacteristic
867C2×C43#353311yescharacteristic
868C2×C43#354211yescharacteristic
869C2×C43#354211yescharacteristic
870D43—24no—
871D43—42no—
872D43—81no—
873D43—81no—
874C23×D4—431no—
875C24×C4—431no—
876C2×#126—431no—
877C2×#124—431no—
878C2×#123—431no—
879C2×#123—431no—
880C2×#123C2×D4311yescharacteristic, complemented
881C2×C22⋊Q8—431no—
882C2×C22⋊Q8—431no—
883C2×C22⋊Q8C2×D4311yescharacteristic, complemented
884C2×#121—431no—
885C2×#121—431no—
886C2×#121—431no—
887C2×#121—431no—
888C2×#120—431no—
889C2×#120—431no—
890C2×#120—431no—
891C2×#120—431no—
892C2×C4×D4—431no—
893C2×C4×D4—431no—
894C22×C22⋊C4—431no—
895C22×C22⋊C4—431no—
896C22×C22⋊C4—431no—
897#401—431no—
898#400—431no—
899#400—431no—
900#400—431no—
901#400—431no—
902#400—431no—
903#400C2×D4311yescharacteristic, complemented
904#399—431no—
905#398—431no—
906#398—431no—
907#397—431no—
908#397—431no—
909#397—431no—
910#397—431no—
911#397—431no—
912#397—431no—
913#397—431no—
914#397—431no—
915#397C2×D4311yescharacteristic, complemented
916#396—431no—
917#396—431no—
918#396—431no—
919#394—431no—
920#394—431no—
921#394—431no—
922#394—431no—
923#394—431no—
924#394—431no—
925#394—431no—
926#394—431no—
927#394—431no—
928#394—431no—
929#394—431no—
930#394—431no—
931#394—431no—
932#394—431no—
933#394C2×D4311yescharacteristic
934#393C2×D4311yescharacteristic, complemented
935#393C2×D4311yescharacteristic, complemented
936#392—431no—
937#392—431no—
938#392—431no—
939#392—431no—
940#392—431no—
941#392—431no—
942#392—431no—
943#392—431no—
944#392C2×D4311yescharacteristic
945#391—431no—
946#390—431no—
947#390—431no—
948#390—431no—
949#390—431no—
950#390—431no—
951#390C2×D4311yescharacteristic, complemented
952#389—431no—
953#388—431no—
954#388—431no—
955#388—431no—
956#388—431no—
957#388—431no—
958#388—431no—
959#388—431no—
960#388—431no—
961#388—431no—
962#388—431no—
963#388—431no—
964#388—431no—
965#388—431no—
966#388—431no—
967#388—431no—
968#388—431no—
969#388—431no—
970#388—431no—
971#388C2×D4311yescharacteristic, complemented
972#387—431no—
973#387—431no—
974#387—431no—
975#387—431no—
976#387C2×D4311yescharacteristic, complemented
977#386—431no—
978#386—431no—
979#386—431no—
980#386—431no—
981#386—431no—
982#386—431no—
983#386—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#386—431no—
995#386—431no—
996#386—431no—
997#386C2×D4311yescharacteristic
998#386C2×D4311yescharacteristic, complemented
999#386C2×D4311yescharacteristic, complemented
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#385—431no—
1009#383—431no—
1010#382—431no—
1011#381—431no—
1012#381—431no—
1013#381—431no—
1014#380—431no—
1015#380—431no—
1016#380—431no—
1017#380—431no—
1018#380—431no—
1019#380—431no—
1020#380C2×D4311yescharacteristic, complemented
1021#379—431no—
1022#379—431no—
1023#379—431no—
1024#379—431no—
1025C4×C22⋊C4—431no—
1026C4×C22⋊C4—431no—
1027C2×#95—431no—
1028C2×#95—431no—
1029C43#3675811yescharacteristic, complemented, Sylow
1030C25—431no—
1031C25—431no—
1032C22×Q8C22×D4311yescharacteristic
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×D4—431no—
1043C22×D4—431no—
1044C22×D4—431no—
1045C22×D4—864no—
1046C22×D4—1722no—
1047C22×D4—1722no—
1048C22×D4C22×D4311yescharacteristic
1049C22×D4C22×D4311yescharacteristic
1050C22×D4C22×D4311yescharacteristic
1051C23×C4—431no—
1052C23×C4—431no—
1053C23×C4—431no—
1054C23×C4—431no—
1055C23×C4—431no—
1056C23×C4—431no—
1057C23×C4—431no—
1058C23×C4—431no—
1059C23×C4—431no—
1060C23×C4—1722no—
1061C23×C4—1722no—
1062C23×C4—1722no—
1063C23×C4C22×D4311yescharacteristic
1064C23×C4C22×D4311yescharacteristic
1065#126—1722no—
1066#124—1722no—
1067#123—42no—
1068#123—1722no—
1069#123—1722no—
1070C22⋊Q8—42no—
1071C22⋊Q8—1722no—
1072C22⋊Q8—1722no—
1073#121—1722no—
1074#121—1722no—
1075#121—1722no—
1076#121—1722no—
1077#120—864no—
1078#120—864no—
1079#120—1722no—
1080#120—1722no—
1081C4×D4—1722no—
1082C4×D4—1722no—
1083C2×C4⋊C4—431no—
1084C2×C4⋊C4—431no—
1085C2×C4⋊C4—431no—
1086C2×C4⋊C4—431no—
1087C2×C4⋊C4—431no—
1088C2×C4⋊C4—431no—
1089C2×C4⋊C4—431no—
1090C2×C4⋊C4—431no—
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⋊C4C22×D4311yescharacteristic
1101C2×C4⋊C4C22×D4311yescharacteristic
1102C2×C4⋊C4C22×D4311yescharacteristic
1103C2×C4⋊C4C22×D4311yescharacteristic
1104C2×C4⋊C4C22×D4311yescharacteristic
1105C2×C22⋊C4—431no—
1106C2×C22⋊C4—431no—
1107C2×C22⋊C4—431no—
1108C2×C22⋊C4—431no—
1109C2×C22⋊C4—431no—
1110C2×C22⋊C4—431no—
1111C2×C22⋊C4—431no—
1112C2×C22⋊C4—431no—
1113C2×C22⋊C4—431no—
1114C2×C22⋊C4—431no—
1115C2×C22⋊C4—431no—
1116C2×C22⋊C4—431no—
1117C2×C22⋊C4—431no—
1118C2×C22⋊C4—431no—
1119C2×C22⋊C4—431no—
1120C2×C22⋊C4—431no—
1121C2×C22⋊C4—431no—
1122C2×C22⋊C4—431no—
1123C2×C22⋊C4—431no—
1124C2×C22⋊C4—431no—
1125C2×C22⋊C4—431no—
1126C2×C22⋊C4—431no—
1127C2×C22⋊C4—431no—
1128C2×C22⋊C4—431no—
1129C2×C22⋊C4—431no—
1130C2×C22⋊C4—431no—
1131C2×C22⋊C4—431no—
1132C2×C22⋊C4—431no—
1133C2×C22⋊C4—431no—
1134C2×C22⋊C4—431no—
1135C2×C22⋊C4—431no—
1136C2×C22⋊C4—431no—
1137C2×C22⋊C4—431no—
1138C2×C22⋊C4—431no—
1139C2×C22⋊C4—431no—
1140C2×C22⋊C4—431no—
1141C2×C22⋊C4—431no—
1142C2×C22⋊C4—431no—
1143C2×C22⋊C4—431no—
1144C2×C22⋊C4—431no—
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—431no—
1147C2×C22⋊C4—431no—
1148C2×C22⋊C4—431no—
1149C2×C22⋊C4—431no—
1150C2×C22⋊C4—1722no—
1151C2×C22⋊C4—1722no—
1152C2×C22⋊C4—1722no—
1153C2×C22⋊C4C22×D4311yescharacteristic
1154C2×C22⋊C4C22×D4311yescharacteristic
1155C2×C22⋊C4C22×D4311yescharacteristic
1156C2×C22⋊C4C22×D4311yescharacteristic
1157C2×C22⋊C4C22×D4311yescharacteristic
1158C2×C22⋊C4C22×D4311yescharacteristic
1159C2×C22⋊C4C22×D4311yescharacteristic
1160C2×C22⋊C4C22×D4311yescharacteristic
1161C2×C22⋊C4C22×D4311yescharacteristic
1162C2×C22⋊C4C22×D4311yescharacteristic
1163C2×C22⋊C4C22×D4311yescharacteristic
1164C2×C22⋊C4C22×D4311yescharacteristic
1165C2×C22⋊C4C22×D4311yescharacteristic
1166C2×C42—431no—
1167C2×C42—431no—
1168C2×C42—431no—
1169C2×C42—431no—
1170C2×C42—431no—
1171C2×C42C22×D4311yescharacteristic
1172#95—431no—
1173#95—431no—
1174#95—431no—
1175#95—431no—
1176#95—431no—
1177#95—431no—
1178#95—431no—
1179#95—431no—
1180#95—431no—
1181#95—431no—
1182#95—431no—
1183#95—431no—
1184#95—431no—
1185#95—431no—
1186#95—431no—
1187#95—431no—
1188#95—431no—
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#95C22×D4311yescharacteristic
1203#95C22×D4311yescharacteristic
1204#95C22×D4311yescharacteristic
1205#95C22×D4311yescharacteristic
1206#95C22×D4311yescharacteristic
1207#95C22×D4311yescharacteristic
1208#95C22×D4311yescharacteristic
1209#95C22×D4311yescharacteristic
1210#95C22×D4311yescharacteristic
1211#95C22×D4311yescharacteristic
1212C24—431no—
1213C24—431no—
1214C24—434no—
1215C24—431no—
1216C24—431no—
1217C24—862no—
1218C24—862no—
1219C24—862no—
1220C24—862no—
1221C24—862no—
1222C24—1721no—
1223C24—1721no—
1224C24—1721no—
1225C24—1721no—
1226C24—1721no—
1227C24—1721no—
1228C24—1721no—
1229C24—1721no—
1230C24C23×D4311yescharacteristic
1231C24C23×D4311yescharacteristic
1232C24C23×D4311yescharacteristic
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
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—
1277C2×D4—1721no—
1278C2×D4—1721no—
1279C2×D4—1721no—
1280C2×D4—1721no—
1281C2×D4—17216no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—431no—
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—431no—
1298C22×C4—431no—
1299C22×C4—431no—
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—862no—
1309C22×C4—862no—
1310C22×C4—862no—
1311C22×C4—862no—
1312C22×C4—1721no—
1313C22×C4—1721no—
1314C22×C4—1721no—
1315C22×C4—1721no—
1316C22×C4—1721no—
1317C22×C4—1721no—
1318C22×C4—1721no—
1319C22×C4—1721no—
1320C22×C4—1721no—
1321C22×C4—1721no—
1322C22×C4—1721no—
1323C22×C4—1721no—
1324C22×C4—1721no—
1325C22×C4—17216no—
1326C22×C4—1721no—
1327C22×C4—1721no—
1328C22×C4C23×D4311yescharacteristic
1329C22×C4C23×D4311yescharacteristic
1330C22×C4C23×D4311yescharacteristic
1331C22×C4C23×D4311yescharacteristic
1332C22×C4C23×D4311yescharacteristic
1333C22×C4C23×D4311yescharacteristic
1334C22×C4C23×D4311yescharacteristic
1335C22×C4C23×D4311yescharacteristic
1336C22×C4C23×D4311yescharacteristic
1337C22×C4C23×D4311yescharacteristic
1338C22×C4C23×D4311yescharacteristic
1339C22×C4C23×D4311yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—862no—
1346C4⋊C4—862no—
1347C4⋊C4—862no—
1348C4⋊C4—1721no—
1349C4⋊C4—1721no—
1350C4⋊C4—1721no—
1351C4⋊C4—1721no—
1352C4⋊C4—1721no—
1353C4⋊C4—1721no—
1354C4⋊C4—1721no—
1355C4⋊C4—1721no—
1356C4⋊C4—1721no—
1357C4⋊C4—1721no—
1358C4⋊C4—1721no—
1359C4⋊C4—1721no—
1360C4⋊C4—1721no—
1361C4⋊C4—1721no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—862no—
1376C22⋊C4—862no—
1377C22⋊C4—862no—
1378C22⋊C4—862no—
1379C22⋊C4—862no—
1380C22⋊C4—862no—
1381C22⋊C4—862no—
1382C22⋊C4—862no—
1383C22⋊C4—862no—
1384C22⋊C4—862no—
1385C22⋊C4—862no—
1386C22⋊C4—862no—
1387C22⋊C4—862no—
1388C22⋊C4—1721no—
1389C22⋊C4—1721no—
1390C22⋊C4—1721no—
1391C22⋊C4—1721no—
1392C22⋊C4—1721no—
1393C22⋊C4—1721no—
1394C22⋊C4—1721no—
1395C22⋊C4—1721no—
1396C22⋊C4—1721no—
1397C22⋊C4—1721no—
1398C22⋊C4—1721no—
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—
1420C42—41no—
1421C42—1721no—
1422C42—1721no—
1423C42—1721no—
1424C42—1721no—
1425C42—1721no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
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—21no—
1446C23—432no—
1447C23—432no—
1448C23—432no—
1449C23—432no—
1450C23—868no—
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—861no—
1474C23—861no—
1475C23—3442no—
1476C23—3442no—
1477C23—3442no—
1478C23—3442no—
1479C23—1724no—
1480C23—1724no—
1481C23—1724no—
1482C23—1724no—
1483C23—1724no—
1484C23—1724no—
1485C23—1724no—
1486C23—1724no—
1487C23—1724no—
1488C23#41×D4312yes—
1489C23C24×D4311yescharacteristic
1490Q8—82no—
1491D4—44no—
1492D4—82no—
1493D4—82no—
1494D4—3442no—
1495D4—3442no—
1496D4—3442no—
1497D4—3442no—
1498D4—3442no—
1499D4—3442no—
1500D4—3442no—
1501D4—1724no—
1502D4—1724no—
1503D4—1724no—
1504D4—1724no—
1505D4—1724no—
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—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—44no—
1542C2×C4—82no—
1543C2×C4—432no—
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—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—3442no—
1580C2×C4—3442no—
1581C2×C4—3442no—
1582C2×C4—1724no—
1583C2×C4—1724no—
1584C2×C4—1724no—
1585C2×C4—1724no—
1586C2×C4—1724no—
1587C2×C4—1724no—
1588C2×C4#1306337012yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—434no—
1611C22—862no—
1612C22—862no—
1613C22—862no—
1614C22—862no—
1615C22—862no—
1616C22—862no—
1617C22—862no—
1618C22—862no—
1619C22—862no—
1620C22—3448no—
1621C22—17216no—
1622C22—1721no—
1623C22—1721no—
1624C22—1721no—
1625C22—1721no—
1626C22—1721no—
1627C22—1721no—
1628C22—1721no—
1629C22—1721no—
1630C22—1721no—
1631C22—1721no—
1632C22—1721no—
1633C22—1721no—
1634C22—1721no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22C2×#41×D4311yescharacteristic
1641C22H(5,𝔽2)×D4311yescharacteristic
1642C22H(5,𝔽2)×D4311yescharacteristic
1643C22H(5,𝔽2)×D4311yescharacteristic
1644C22C2×#1306337011yescharacteristic
1645C22#1458373511yescharacteristic
1646C22#1458373611yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—862no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4—1721no—
1667C4—1721no—
1668C4—1721no—
1669C4—1721no—
1670C4—1721no—
1671C2—42no—
1672C2—81no—
1673C2—81no—
1674C2—864no—
1675C2—3441no—
1676C2—3441no—
1677C2—1722no—
1678C2#538×D4311yescharacteristic
1679C2#1914842611yescharacteristic
1680C2#1914843111yescharacteristic
1681C2#1914874911yescharacteristic
1682C2#1914877011yescharacteristic
1683C2#1914890811yescharacteristic
1684C2#1914890911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2696C2
hypercenter#2696D43
hypocenterC43#36758
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2696

Complements

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

NH ≅ G/Ntype
1. #19142879C2semidirect
2. #19142876C2semidirect
3. #19142449C2semidirect
4. #19142251C2semidirect
5. #19142225C2semidirect
6. #19142217C2semidirect
7. #19142209C2semidirect
8. #19141911C2semidirect
9. #19141878C2semidirect
10. #19141817C2semidirect
11. #19141705C2semidirect
12. #19141586C2semidirect
13. #19141384C2semidirect
14. #19141232C2semidirect
15. #19141230C2semidirect
16. #19141028C2semidirect
17. #19140895C2semidirect
18. #19140308C2semidirect
19. #19140306C2semidirect
20. #19138983C2semidirect
21. #19138914C2semidirect
22. #19138836C2semidirect
23. #19138724C2semidirect
24. #19138143C2semidirect
25. #19138138C2semidirect
26. #19138079C2semidirect
27. #19138054C2semidirect
28. #19137257C2semidirect
29. #19137251C2semidirect
30. #386×D43C2semidirect
31. C43×#2696C2semidirect
34. C2×#13063318C22semidirect
35. C2×#13063314C22semidirect
39. C2×#13063301C22semidirect
41. C2×#13063298C22semidirect
42. C2×#13063298C22semidirect
43. C2×#13063297C22semidirect
53. C43⋊#401C22semidirect
54. #14582841C22semidirect
55. #14582840C22semidirect
56. #14582839C22semidirect
57. #14582838C22semidirect
58. #14582837C22semidirect
59. #14582834C22semidirect
60. #14582831C22semidirect
61. #14582830C22semidirect
62. #14582828C22semidirect
63. #14582828C22semidirect
64. #14582827C22semidirect
65. #14582827C22semidirect
66. #14582827C22semidirect
67. #14582827C22semidirect
68. #14582826C22semidirect
69. #14582825C22semidirect
70. #14582823C22semidirect
71. #14582822C22semidirect
72. #14582821C22semidirect
74. #14582817C22semidirect
76. #14582816C22semidirect
79. #14582815C22semidirect
80. #14582815C22semidirect
81. #14582815C22semidirect
84. #14582814C22semidirect
86. #14582813C22semidirect
94. #14582807C22semidirect
95. #14582806C22semidirect
96. #14582802C22semidirect
97. #14582800C22semidirect
98. #14582799C22semidirect
99. #14582799C22semidirect
100. #14582799C22semidirect
101. #14582796C22semidirect
102. #14582793C22semidirect
103. #14582793C22semidirect
104. #14582793C22semidirect
105. #14582792C22semidirect
106. #14582792C22semidirect
107. #14582792C22semidirect
108. #14582791C22semidirect
109. #14582791C22semidirect
110. #14582791C22semidirect
111. #14582791C22semidirect
112. #14582790C22semidirect
113. #14582790C22semidirect
114. #14582789C22semidirect
115. #14582789C22semidirect
116. #14582788C22semidirect
117. #14582788C22semidirect
118. #14582787C22semidirect
119. #14582787C22semidirect
120. #14582783C22semidirect
121. #14582781C22semidirect
122. #14582781C22semidirect
123. #14582780C22semidirect
126. #14582778C22semidirect
127. #14582778C22semidirect
128. #14582778C22semidirect
129. #14582778C22semidirect
134. #14582777C22semidirect
135. #14582777C22semidirect
141. #14582775C22semidirect
142. #14582775C22semidirect
143. #14582775C22semidirect
145. #14582773C22semidirect
146. #14582771C22semidirect
147. #14582771C22semidirect
151. #14582770C22semidirect
152. #14582770C22semidirect
153. #14582766C22semidirect
154. #14582763C22semidirect
157. #14582761C22semidirect
158. #14582759C22semidirect
160. #14582758C22semidirect
161. #14582757C22semidirect
163. #14582756C22semidirect
172. C2×#123×C43C22semidirect
173. C2×C22⋊Q8×C43C22semidirect
174. C43×#400C22semidirect
175. C43×#397C22semidirect
177. C43×#393C22semidirect
178. C43×#393C22semidirect
180. C43×#390C22semidirect
181. C43×#388C22semidirect
182. C43×#387C22semidirect
184. C43×#386C22semidirect
185. C43×#386C22semidirect
186. C43×#380C22semidirect
844. #2696D43semidirect
880. C2×#123C2×D43semidirect
883. C2×C22⋊Q8C2×D43semidirect
903. #400C2×D43semidirect
915. #397C2×D43semidirect
934. #393C2×D43semidirect
935. #393C2×D43semidirect
951. #390C2×D43semidirect
971. #388C2×D43semidirect
976. #387C2×D43semidirect
998. #386C2×D43semidirect
999. #386C2×D43semidirect
1020. #380C2×D43semidirect
1029. C43#36758semidirect

Maximal subgroups

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

subgroupindex
#191428792
#191428762
#191424492
#191422512
#191422252
#191422172
#191422092
#191419112
#191418782
#191418172
#191417052
#191415862
#191413842
#191412322
#191412302
#191410282
#191408952
#191403082
#191403062
#191389832
#191389142
#191388362
#191387242
#191381432
#191381382
#191380792
#191380542
#191372572
#191372512
#386×D432
C43×#26962
#3675843