Finite Group Databasebeta

← #25305504

Subgroups — #25305504

Order 11008.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142890C211yesmaximal, characteristic, complemented
2#19142878C211yesmaximal, characteristic, complemented
3#19142453C211yesmaximal, characteristic, complemented
4#19142309C211yesmaximal, characteristic, complemented
5#19141923C211yesmaximal, characteristic, complemented
6#19141878C211yesmaximal, characteristic, complemented
7#19141858C211yesmaximal, characteristic, complemented
8#19141825C211yesmaximal, characteristic, complemented
9#19141690C211yesmaximal, characteristic, complemented
10#19141327C211yesmaximal, characteristic, complemented
11#19141327C211yesmaximal, characteristic, complemented
12#19141285C211yesmaximal, characteristic, complemented
13#19141237C211yesmaximal, characteristic, complemented
14#19141181C211yesmaximal, characteristic, complemented
15#19141038C211yesmaximal, characteristic, complemented
16#19140864C211yesmaximal, characteristic, complemented
17#19140864C211yesmaximal, characteristic, complemented
18#19140838C211yesmaximal, characteristic, complemented
19#19140373C211yesmaximal, characteristic, complemented
20#19140332C211yesmaximal, characteristic, complemented
21#19139555C211yesmaximal, characteristic, complemented
22#19138232C211yesmaximal, characteristic, complemented
23#19138129C211yesmaximal, characteristic, complemented
24#19138129C211yesmaximal, characteristic, complemented
25#19138063C211yesmaximal, characteristic, complemented
26#19138063C211yesmaximal, characteristic, complemented
27#19137952C211yesmaximal, characteristic, complemented
28#19137295C211yesmaximal, characteristic, complemented
29#19137222C211yesmaximal, characteristic, complemented
30C2×#14582777C211yesmaximal, characteristic, complemented
31C43×#2569C211yesmaximal, characteristic, complemented
32C23×D172C2211yescharacteristic
33C23×C4×D43C2211yescharacteristic
34C2×#13063322C2211yescharacteristic
35C2×#13063322C2211yescharacteristic
36C2×#13063310C2211yescharacteristic, complemented
37C2×#13063310C2211yescharacteristic, complemented
38C2×#13063310C2211yescharacteristic, complemented
39C2×#13063310C2211yescharacteristic, complemented
40C2×#13063300C2211yescharacteristic
41C2×#13063300C2211yescharacteristic
42C2×#13063300C2211yescharacteristic, complemented
43C2×#13063300C2211yescharacteristic, complemented
44C2×#13063300C2211yescharacteristic, complemented
45C2×#13063300C2211yescharacteristic, complemented
46C2×#13063299C2211yescharacteristic
47C2×#13063299C2211yescharacteristic
48C2×#13063299C2211yescharacteristic
49C2×#13063295C2211yescharacteristic
50C2×#13063295C2211yescharacteristic
51C2×#13063295C2211yescharacteristic
52C2×#13063295C2211yescharacteristic
53C2×#13063295C2211yescharacteristic
54C2×#13063295C2211yescharacteristic
55C2×C4×C22⋊D43C2211yescharacteristic
56C2×(C22⋊D43)⋊C4C2211yescharacteristic
57C2×(C22⋊D43)⋊C4C2211yescharacteristic
58C22×(C2×D43)⋊C4C2211yescharacteristic
59C22×(C2×D43)⋊C4C2211yescharacteristic
60C22×(C2×D43)⋊C4C2211yescharacteristic
61#14582834C2211yescharacteristic, complemented
62#14582834C2211yescharacteristic, complemented
63#14582831C2211yescharacteristic, complemented
64#14582828C2211yescharacteristic, complemented
65#14582828C2211yescharacteristic, complemented
66#14582828C2211yescharacteristic, complemented
67#14582828C2211yescharacteristic, complemented
68#14582826C2211yescharacteristic, complemented
69#14582826C2211yescharacteristic, complemented
70#14582826C2211yescharacteristic, complemented
71#14582825C2211yescharacteristic, complemented
72#14582825C2211yescharacteristic, complemented
73#14582821C2211yescharacteristic, complemented
74#14582821C2211yescharacteristic, complemented
75#14582817C2211yescharacteristic
76#14582817C2211yescharacteristic
77#14582817C2211yescharacteristic, complemented
78#14582817C2211yescharacteristic, complemented
79#14582817C2211yescharacteristic, complemented
80#14582817C2211yescharacteristic, complemented
81#14582817C2211yescharacteristic, complemented
82#14582817C2211yescharacteristic, complemented
83#14582817C2211yescharacteristic, complemented
84#14582816C2211yescharacteristic, complemented
85#14582816C2211yescharacteristic, complemented
86#14582816C2211yescharacteristic, complemented
87#14582816C2211yescharacteristic, complemented
88#14582816C2211yescharacteristic, complemented
89#14582816C2211yescharacteristic, complemented
90#14582816C2211yescharacteristic, complemented
91#14582816C2211yescharacteristic, complemented
92#14582816C2211yescharacteristic, complemented
93#14582816C2211yescharacteristic, complemented
94#14582809C2211yescharacteristic
95#14582809C2211yescharacteristic
96#14582809C2211yescharacteristic
97#14582809C2211yescharacteristic
98#14582809C2211yescharacteristic
99#14582809C2211yescharacteristic
100#14582809C2211yescharacteristic, complemented
101#14582809C2211yescharacteristic, complemented
102#14582809C2211yescharacteristic, complemented
103#14582809C2211yescharacteristic, complemented
104#14582809C2211yescharacteristic, complemented
105#14582801C2211yescharacteristic
106#14582801C2211yescharacteristic
107#14582800C2211yescharacteristic
108#14582800C2211yescharacteristic
109#14582800C2211yescharacteristic, complemented
110#14582800C2211yescharacteristic, complemented
111#14582791C2211yescharacteristic, complemented
112#14582791C2211yescharacteristic, complemented
113#14582791C2211yescharacteristic, complemented
114#14582791C2211yescharacteristic, complemented
115#14582790C2211yescharacteristic, complemented
116#14582790C2211yescharacteristic, complemented
117#14582789C2211yescharacteristic, complemented
118#14582789C2211yescharacteristic, complemented
119#14582789C2211yescharacteristic, complemented
120#14582789C2211yescharacteristic, complemented
121#14582788C2211yescharacteristic, complemented
122#14582788C2211yescharacteristic, complemented
123#14582783C2211yescharacteristic, complemented
124#14582783C2211yescharacteristic, complemented
125#14582782C2211yescharacteristic, complemented
126#14582782C2211yescharacteristic, complemented
127#14582778C2211yescharacteristic
128#14582778C2211yescharacteristic
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#14582777C2211yescharacteristic, complemented
145#14582777C2211yescharacteristic, complemented
146#14582777C2211yescharacteristic, complemented
147#14582777C2211yescharacteristic, complemented
148#14582777C2211yescharacteristic, complemented
149#14582777C2211yescharacteristic, complemented
150#14582777C2211yescharacteristic, complemented
151#14582776C2211yescharacteristic
152#14582776C2211yescharacteristic
153#14582776C2211yescharacteristic
154#14582776C2211yescharacteristic
155#14582771C2211yescharacteristic
156#14582771C2211yescharacteristic
157#14582770C2211yescharacteristic, complemented
158#14582770C2211yescharacteristic, complemented
159#14582770C2211yescharacteristic, complemented
160#14582770C2211yescharacteristic, complemented
161#14582766C2211yescharacteristic, complemented
162#14582763C2211yescharacteristic, complemented
163#14582761C2211yescharacteristic, complemented
164#14582761C2211yescharacteristic, complemented
165#14582761C2211yescharacteristic, complemented
166#14582758C2211yescharacteristic, complemented
167#14582756C2211yescharacteristic, complemented
168#14582756C2211yescharacteristic, complemented
169#14582754C2211yescharacteristic
170#14582754C2211yescharacteristic
171C2×C43⋊#95C2211yescharacteristic
172C43×#400C2211yescharacteristic, complemented
173C43×#400C2211yescharacteristic, complemented
174C43×#398C2211yescharacteristic, complemented
175C43×#398C2211yescharacteristic, complemented
176C43×#387C2211yescharacteristic, complemented
177C43×#387C2211yescharacteristic, complemented
178C43×#387C2211yescharacteristic, complemented
179C43×#387C2211yescharacteristic, complemented
180C43×#385C2211yescharacteristic
181C43×#385C2211yescharacteristic
182C43×#380C2211yescharacteristic
183C43×#380C2211yescharacteristic
184C43×#380C2211yescharacteristic
185C4×C22⋊C4×C43C2211yescharacteristic
186C2×#95×C43C2211yescharacteristic
187C24×D43C2311yescharacteristic
188C24×D43C2311yescharacteristic
189C22×D172—24no—
190C22×D172—42no—
191C22×D172—42no—
192C22×D172C2311yescharacteristic
193C22×D172C2311yescharacteristic
194C22×D172C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×D172C2311yescharacteristic
203C22×D172C2311yescharacteristic
204C22×D172C2311yescharacteristic
205C22×D172C2311yescharacteristic
206C22×D172C2311yescharacteristic
207C22×D172C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C22×D172C2311yescharacteristic
211C22×C22⋊D43C2311yescharacteristic
212C22×C22⋊D43C2311yescharacteristic
213C22×C22⋊D43C2311yescharacteristic
214C23×Dic43C2311yescharacteristic
215C23×Dic43C2311yescharacteristic
216C22×C4×D43—42no—
217C22×C4×D43—42no—
218C22×C4×D43—42no—
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226#13063322—42no—
227#13063322—42no—
228#13063310—42no—
229#13063310—42no—
230#13063310—42no—
231#13063310—42no—
232#13063300—42no—
233#13063300—42no—
234#13063300—42no—
235#13063300—42no—
236#13063300—42no—
237#13063300—42no—
238#13063299—24no—
239#13063299—42no—
240#13063299—42no—
241#13063295—42no—
242#13063295—42no—
243#13063295—42no—
244#13063295—42no—
245#13063295—42no—
246#13063295—42no—
247C4×C22⋊D43—24no—
248(C22⋊D43)⋊C4—42no—
249(C22⋊D43)⋊C4—42no—
250C2×C4⋊Dic43C2311yescharacteristic
251C2×C4⋊Dic43C2311yescharacteristic
252C2×C4⋊Dic43C2311yescharacteristic
253C2×Dic43⋊C4C2311yescharacteristic
254C2×Dic43⋊C4C2311yescharacteristic
255C2×Dic43⋊C4C2311yescharacteristic
256C2×Dic43⋊C4C2311yescharacteristic
257C2×Dic43⋊C4C2311yescharacteristic
258C2×Dic43⋊C4C2311yescharacteristic
259C2×Dic43⋊C4C2311yescharacteristic
260C2×C22⋊Dic43C2311yescharacteristic
261C2×(C2×D43)⋊C4—42no—
262C2×(C2×D43)⋊C4—42no—
263C2×(C2×D43)⋊C4—42no—
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
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×C4×Dic43C2311yescharacteristic
318C2×C4×Dic43C2311yescharacteristic
319C2×C4×Dic43C2311yescharacteristic
320C43⋊#95C2311yescharacteristic
321C43⋊#95C2311yescharacteristic
322C43⋊#95C2311yescharacteristic
323C43⋊#95C2311yescharacteristic
324C43⋊#95C2311yescharacteristic
325C43⋊#95C2311yescharacteristic
326C43⋊#95C2311yescharacteristic
327C43⋊#95C2311yescharacteristic
328C43⋊#95C2311yescharacteristic
329C43⋊#95C2311yescharacteristic
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C23×C4×C43C2311yescharacteristic
341C23×C4×C43C2311yescharacteristic
342C23×C4×C43C2311yescharacteristic
343C2×C4⋊C4×C43C2311yescharacteristic
344C2×C4⋊C4×C43C2311yescharacteristic
345C2×C4⋊C4×C43C2311yescharacteristic
346C2×C4⋊C4×C43C2311yescharacteristic
347C2×C4⋊C4×C43C2311yescharacteristic
348C2×C4⋊C4×C43C2311yescharacteristic
349C2×C4⋊C4×C43C2311yescharacteristic
350C2×C4⋊C4×C43C2311yescharacteristic
351C2×C4⋊C4×C43C2311yescharacteristic
352C2×C4⋊C4×C43C2311yescharacteristic
353C2×C22⋊C4×C43C2311yescharacteristic
354C2×C22⋊C4×C43C2311yescharacteristic
355C2×C22⋊C4×C43C2311yescharacteristic
356C2×C22⋊C4×C43C2311yescharacteristic
357C2×C42×C43C2311yescharacteristic
358C2×C42×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375C24×C43C2411yescharacteristic
376C23×D43—22no—
377C23×D43—22no—
378C23×D43—22no—
379C23×D43—22no—
380C23×D43—22no—
381C23×D43—22no—
382C23×D43—22no—
383C23×D43—22no—
384C23×D43—41no—
385C23×D43—41no—
386C23×D43—41no—
387C23×D43—41no—
388C23×D43—41no—
389C23×D43—41no—
390C23×D43C2411yescharacteristic
391C23×D43C2411yescharacteristic
392C23×D43C2411yescharacteristic
393C23×D43C2411yescharacteristic
394C23×D43C2411yescharacteristic
395C23×D43C2411yescharacteristic
396C23×D43C2411yescharacteristic
397C22×C4×C43—22no—
398C22×C4×C43—22no—
399C22×C4×C43—22no—
400C22×C4×C43—41no—
401C22×C4×C43—41no—
402C22×C4×C43—41no—
403C22×C4×C43—41no—
404C22×C4×C43—41no—
405C22×C4×C43#4114yes—
406C22×C4×C43C2411yescharacteristic
407C22×C4×C43C2411yescharacteristic
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—22no—
429C22×Dic43—22no—
430C22×Dic43—22no—
431C22×Dic43—41no—
432C22×Dic43—41no—
433C22×Dic43—41no—
434C22×Dic43—41no—
435C22×Dic43C2411yescharacteristic
436C22×Dic43C2411yescharacteristic
437C22×Dic43C2411yescharacteristic
438C22×Dic43C2411yescharacteristic
439C22×Dic43C2411yescharacteristic
440C22×Dic43C2411yescharacteristic
441C22×Dic43C2411yescharacteristic
442C22×Dic43C2411yescharacteristic
443C22×Dic43C2411yescharacteristic
444C2×D172—22no—
445C2×D172—22no—
446C2×D172—22no—
447C2×D172—22no—
448C2×D172—22no—
449C2×D172—22no—
450C2×D172—22no—
451C2×D172—22no—
452C2×D172—22no—
453C2×D172—22no—
454C2×D172—22no—
455C2×D172—22no—
456C2×D172—22no—
457C2×D172—22no—
458C2×D172—22no—
459C2×D172—22no—
460C2×D172—41no—
461C2×D172—41no—
462C2×D172—41no—
463C2×D172—41no—
464C2×D172—41no—
465C2×D172—41no—
466C2×D172—41no—
467C2×D172—41no—
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×D172—41no—
479C2×D172—41no—
480C2×D172—41no—
481C2×D172—41no—
482C2×D172—41no—
483C2×D172—41no—
484C2×D172—41no—
485C2×D172—41no—
486C2×D172—41no—
487C2×D172—41no—
488C2×D172—41no—
489C2×D172—41no—
490C2×D172—41no—
491C2×D172—41no—
492C2×D172—41no—
493C2×D172—41no—
494C2×D172—41no—
495C2×D172—41no—
496C2×D172—41no—
497C2×D172—41no—
498C2×D172—41no—
499C2×D172—41no—
500C2×D172—41no—
501C2×D172—416no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—41no—
508C2×C4×D43—41no—
509C2×C4×D43—41no—
510C2×C4×D43—41no—
511C2×C4×D43—41no—
512C2×C4×D43—41no—
513C2×C4×D43—41no—
514C2×C4×D43—41no—
515C2×C4×D43—41no—
516C2×C4×D43—41no—
517C2×C4×D43—41no—
518C2×C4×D43—41no—
519C2×C4×D43—41no—
520C2×C4×D43—41no—
521C2×C4×D43—41no—
522C2×C4×D43—41no—
523C2×C4×D43—416no—
524C4⋊C4×C43—22no—
525C4⋊C4×C43—22no—
526C4⋊C4×C43—41no—
527C4⋊C4×C43—41no—
528C4⋊C4×C43—41no—
529C4⋊C4×C43—41no—
530C4⋊C4×C43—41no—
531C4⋊C4×C43—41no—
532C4⋊C4×C43—41no—
533C4⋊C4×C43—41no—
534C22⋊C4×C43—22no—
535C22⋊C4×C43—22no—
536C22⋊C4×C43—22no—
537C22⋊C4×C43—22no—
538C42×C43—41no—
539C42×C43—41no—
540C22⋊Dic43—22no—
541(C2×D43)⋊C4—22no—
542(C2×D43)⋊C4—22no—
543(C2×D43)⋊C4—22no—
544(C2×D43)⋊C4—22no—
545(C2×D43)⋊C4—22no—
546(C2×D43)⋊C4—22no—
547(C2×D43)⋊C4—22no—
548(C2×D43)⋊C4—22no—
549(C2×D43)⋊C4—22no—
550(C2×D43)⋊C4—22no—
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)⋊C4—41no—
565(C2×D43)⋊C4—41no—
566(C2×D43)⋊C4—41no—
567(C2×D43)⋊C4—41no—
568(C2×D43)⋊C4—41no—
569(C2×D43)⋊C4—41no—
570(C2×D43)⋊C4—41no—
571(C2×D43)⋊C4—41no—
572(C2×D43)⋊C4—41no—
573(C2×D43)⋊C4—41no—
574(C2×D43)⋊C4—41no—
575(C2×D43)⋊C4—41no—
576(C2×D43)⋊C4—41no—
577(C2×D43)⋊C4—41no—
578(C2×D43)⋊C4—41no—
579(C2×D43)⋊C4—41no—
580(C2×D43)⋊C4—41no—
581(C2×D43)⋊C4—41no—
582(C2×D43)⋊C4—41no—
583(C2×D43)⋊C4—41no—
584(C2×D43)⋊C4—41no—
585(C2×D43)⋊C4—41no—
586(C2×D43)⋊C4—41no—
587(C2×D43)⋊C4—41no—
588(C2×D43)⋊C4—41no—
589(C2×D43)⋊C4—41no—
590(C2×D43)⋊C4—41no—
591(C2×D43)⋊C4—41no—
592(C2×D43)⋊C4—41no—
593(C2×D43)⋊C4—41no—
594C4⋊Dic43—22no—
595C4⋊Dic43—41no—
596C4⋊Dic43—41no—
597Dic43⋊C4—22no—
598Dic43⋊C4—41no—
599Dic43⋊C4—41no—
600Dic43⋊C4—41no—
601Dic43⋊C4—41no—
602Dic43⋊C4—41no—
603Dic43⋊C4—41no—
604C4×Dic43—22no—
605C4×Dic43—41no—
606C4×Dic43—41no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43C2×#4112yes—
612C23×C43H(5,𝔽2)12yes—
613C23×C43H(5,𝔽2)12yes—
614C23×C43C2511yescharacteristic
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—21no—
631C22×D43—21no—
632C22×D43—21no—
633C22×D43—21no—
634C22×D43—21no—
635C22×D43—21no—
636C22×D43—21no—
637C22×D43—21no—
638C22×D43—21no—
639C22×D43—21no—
640C22×D43—21no—
641C22×D43—21no—
642C22×D43—21no—
643C22×D43—21no—
644C22×D43—21no—
645C22×D43—21no—
646C22×D43—21no—
647C22×D43—21no—
648C22×D43—21no—
649C22×D43—21no—
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—21no—
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—21no—
657C22×D43—21no—
658C22×D43—21no—
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—21no—
662C22×D43—21no—
663C22×D43—44no—
664C22×D43—44no—
665C22×D43—44no—
666C22×D43—44no—
667C22×D43—44no—
668C22×D43—44no—
669C22×D43—44no—
670C22×D43—44no—
671C22×D43—44no—
672C22×D43—82no—
673C22×D43—82no—
674C22×D43—82no—
675C22×D43—82no—
676C22×D43H(5,𝔽2)12yes—
677C22×D43H(5,𝔽2)12yes—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—44no—
718C2×C4×C43—44no—
719C2×C4×C43—82no—
720C2×C4×C43C2×#4112yes—
721C2×C4×C43C2×#4112yes—
722C2×C4×C43H(5,𝔽2)12yes—
723C22⋊D43—44no—
724C22⋊D43—44no—
725C22⋊D43—44no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—44no—
754C2×Dic43—82no—
755D172—44no—
756D172—44no—
757D172—44no—
758D172—44no—
759D172—82no—
760D172—82no—
761D172—82no—
762D172—82no—
763D172—82no—
764D172—82no—
765D172—82no—
766D172—82no—
767D172—82no—
768D172—82no—
769D172—82no—
770D172—82no—
771D172—82no—
772D172—82no—
773D172—82no—
774C4×D43—44no—
775C4×D43—44no—
776C4×D43—44no—
777C4×D43—44no—
778C4×D43—82no—
779C4×D43—82no—
780C4×D43—82no—
781#36794—431nomaximal, Sylow
782C22×C43—22no—
783C22×C43—22no—
784C22×C43—22no—
785C22×C43—22no—
786C22×C43—22no—
787C22×C43—22no—
788C22×C43#54014yes—
789C22×C43C22×#4111yescharacteristic
790C22×C43C2×H(5,𝔽2)11yescharacteristic
791C22×C43C2×H(5,𝔽2)11yescharacteristic
792C22×C43C2×H(5,𝔽2)11yescharacteristic
793C22×C43C2×H(5,𝔽2)11yescharacteristic
794C22×C43C2×H(5,𝔽2)11yescharacteristic
795C22×C43#58511yescharacteristic
796C2×D43—22no—
797C2×D43—22no—
798C2×D43—22no—
799C2×D43—22no—
800C2×D43—22no—
801C2×D43—22no—
802C2×D43—416no—
803C2×D43—41no—
804C2×D43—41no—
805C2×D43—41no—
806C2×D43—41no—
807C2×D43—41no—
808C2×D43—41no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—41no—
813C2×D43—41no—
814C2×D43—41no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—41no—
826C2×D43—41no—
827C2×D43—41no—
828C2×D43—41no—
829C2×D43—41no—
830C2×D43—41no—
831C2×D43—41no—
832C2×D43—41no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—88no—
847C4×C43—22no—
848C4×C43—22no—
849C4×C43—22no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43—41no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861Dic43—41no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869Dic43—41no—
870#2849—431no—
871#2847—431no—
872#2797—431no—
873#2786—431no—
874#2756—431no—
875#2753—431no—
876#2752—431no—
877#2749—431no—
878#2740—431no—
879#2709—431no—
880#2709—431no—
881#2706—431no—
882#2703—431no—
883#2699—431no—
884#2688—431no—
885#2673—431no—
886#2673—431no—
887#2671—431no—
888#2622—431no—
889#2617—431no—
890#2569D4311yescharacteristic, complemented
891#2543—431no—
892#2433—431no—
893#2424—431no—
894#2424—431no—
895#2418—431no—
896#2418—431no—
897#2408—431no—
898#2325—431no—
899#2318—431no—
900C2×#386—431no—
901C2×C43—24no—
902C2×C43C2×#54011yescharacteristic
903C2×C43#349011yescharacteristic
904C2×C43#350611yescharacteristic
905C2×C43#353211yescharacteristic
906C2×C43#353411yescharacteristic
907C2×C43#353411yescharacteristic
908C2×C43#353711yescharacteristic
909D43—42no—
910D43—42no—
911D43—81no—
912D43—81no—
913D43—81no—
914D43—81no—
915D43—81no—
916C23×D4—431no—
917C24×C4—431no—
918C2×#127—431no—
919C2×#127—431no—
920C2×#123—431no—
921C2×#123—431no—
922C2×#123—431no—
923C2×#123—431no—
924C2×#121—431no—
925C2×#121—431no—
926C2×#121—431no—
927C2×#121—431no—
928C2×#121—431no—
929C2×#121—431no—
930C2×#121—431no—
931C2×#121—431no—
932C2×#121—431no—
933C2×#120—431no—
934C2×#120—431no—
935C2×#120—431no—
936C2×#120—431no—
937C2×#120—431no—
938C2×#120—431no—
939C2×C4×D4—431no—
940C2×C4×D4—431no—
941C2×C4×D4—431no—
942C22×C22⋊C4—431no—
943C22×C22⋊C4—431no—
944C22×C22⋊C4—431no—
945#400C2×D4311yescharacteristic, complemented
946#400C2×D4311yescharacteristic, complemented
947#399—431no—
948#399—431no—
949#398—431no—
950#398C2×D4311yescharacteristic, complemented
951#398C2×D4311yescharacteristic, complemented
952#397—431no—
953#397—431no—
954#397—431no—
955#397—431no—
956#397—431no—
957#397—431no—
958#397—431no—
959#397—431no—
960#397—431no—
961#396—431no—
962#396—431no—
963#394—431no—
964#394—431no—
965#394—431no—
966#394—431no—
967#394—431no—
968#394—431no—
969#394—431no—
970#394—431no—
971#394—431no—
972#394—431no—
973#394—431no—
974#394—431no—
975#394—431no—
976#394—431no—
977#394—431no—
978#394—431no—
979#394—431no—
980#394—431no—
981#394—431no—
982#392—431no—
983#392—431no—
984#392—431no—
985#392—431no—
986#392—431no—
987#392—431no—
988#392—431no—
989#392—431no—
990#392—431no—
991#392—431no—
992#392—431no—
993#390—431no—
994#390—431no—
995#390—431no—
996#390—431no—
997#390—431no—
998#390—431no—
999#388—431no—
1000#388—431no—
1001#388—431no—
1002#388—431no—
1003#388—431no—
1004#388—431no—
1005#388—431no—
1006#388—431no—
1007#388—431no—
1008#388—431no—
1009#388—431no—
1010#388—431no—
1011#387—431no—
1012#387—431no—
1013#387—431no—
1014#387—431no—
1015#387C2×D4311yescharacteristic, complemented
1016#387C2×D4311yescharacteristic, complemented
1017#387C2×D4311yescharacteristic, complemented
1018#387C2×D4311yescharacteristic, complemented
1019#386—431no—
1020#386—431no—
1021#386—431no—
1022#386—431no—
1023#386—431no—
1024#386—431no—
1025#386—431no—
1026#386—431no—
1027#386—431no—
1028#386—431no—
1029#386—431no—
1030#386—431no—
1031#386—431no—
1032#386—431no—
1033#386—431no—
1034#386—431no—
1035#386—431no—
1036#386—431no—
1037#386—431no—
1038#386—431no—
1039#386—431no—
1040#386—431no—
1041#386—431no—
1042#386—431no—
1043#386—431no—
1044#386—431no—
1045#386—431no—
1046#386—431no—
1047#385—431no—
1048#385—431no—
1049#385—431no—
1050#385—431no—
1051#385—431no—
1052#385—431no—
1053#385C2×D4311yescharacteristic
1054#385C2×D4311yescharacteristic
1055#383—431no—
1056#382—431no—
1057#381—431no—
1058#381—431no—
1059#381—431no—
1060#380—431no—
1061#380—431no—
1062#380—431no—
1063#380C2×D4311yescharacteristic
1064#380C2×D4311yescharacteristic
1065#380C2×D4311yescharacteristic
1066#379—431no—
1067#379—431no—
1068C4×C22⋊C4C2×D4311yescharacteristic
1069C2×#95—431no—
1070C2×#95C2×D4311yescharacteristic
1071C43#3679411yescharacteristic, complemented, Sylow
1072C25—431no—
1073C25—431no—
1074C22×D4—431no—
1075C22×D4—431no—
1076C22×D4—431no—
1077C22×D4—431no—
1078C22×D4—431no—
1079C22×D4—431no—
1080C22×D4—431no—
1081C22×D4—431no—
1082C22×D4—431no—
1083C22×D4—431no—
1084C22×D4—431no—
1085C22×D4—431no—
1086C22×D4—431no—
1087C22×D4—431no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—431no—
1093C22×D4—431no—
1094C22×D4—431no—
1095C22×D4—431no—
1096C22×D4—864no—
1097C22×D4—1722no—
1098C22×D4—1722no—
1099C23×C4—431no—
1100C23×C4—431no—
1101C23×C4—431no—
1102C23×C4—431no—
1103C23×C4—431no—
1104C23×C4—431no—
1105C23×C4—431no—
1106C23×C4—431no—
1107C23×C4—431no—
1108C23×C4—1722no—
1109C23×C4—1722no—
1110C23×C4—1722no—
1111C23×C4C22×D4311yescharacteristic
1112C23×C4C22×D4311yescharacteristic
1113C23×C4C22×D4311yescharacteristic
1114#127—1722no—
1115#127—1722no—
1116#123—1722no—
1117#123—1722no—
1118#123—1722no—
1119#123—1722no—
1120#121—864no—
1121#121—1722no—
1122#121—1722no—
1123#121—1722no—
1124#121—1722no—
1125#121—1722no—
1126#121—1722no—
1127#121—1722no—
1128#121—1722no—
1129#120—1722no—
1130#120—1722no—
1131#120—1722no—
1132#120—1722no—
1133#120—1722no—
1134#120—1722no—
1135C4×D4—864no—
1136C4×D4—1722no—
1137C4×D4—1722no—
1138C2×C4⋊C4—431no—
1139C2×C4⋊C4—431no—
1140C2×C4⋊C4—431no—
1141C2×C4⋊C4—431no—
1142C2×C4⋊C4—431no—
1143C2×C4⋊C4—431no—
1144C2×C4⋊C4—431no—
1145C2×C4⋊C4—431no—
1146C2×C4⋊C4—431no—
1147C2×C4⋊C4—431no—
1148C2×C4⋊C4C22×D4311yescharacteristic
1149C2×C4⋊C4C22×D4311yescharacteristic
1150C2×C4⋊C4C22×D4311yescharacteristic
1151C2×C4⋊C4C22×D4311yescharacteristic
1152C2×C4⋊C4C22×D4311yescharacteristic
1153C2×C4⋊C4C22×D4311yescharacteristic
1154C2×C4⋊C4C22×D4311yescharacteristic
1155C2×C4⋊C4C22×D4311yescharacteristic
1156C2×C4⋊C4C22×D4311yescharacteristic
1157C2×C4⋊C4C22×D4311yescharacteristic
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⋊C4—431no—
1173C2×C22⋊C4—431no—
1174C2×C22⋊C4—431no—
1175C2×C22⋊C4—431no—
1176C2×C22⋊C4—431no—
1177C2×C22⋊C4—431no—
1178C2×C22⋊C4—431no—
1179C2×C22⋊C4—431no—
1180C2×C22⋊C4—431no—
1181C2×C22⋊C4—431no—
1182C2×C22⋊C4—431no—
1183C2×C22⋊C4—431no—
1184C2×C22⋊C4—431no—
1185C2×C22⋊C4—431no—
1186C2×C22⋊C4—431no—
1187C2×C22⋊C4—431no—
1188C2×C22⋊C4—431no—
1189C2×C22⋊C4—431no—
1190C2×C22⋊C4—431no—
1191C2×C22⋊C4—431no—
1192C2×C22⋊C4—431no—
1193C2×C22⋊C4—431no—
1194C2×C22⋊C4—431no—
1195C2×C22⋊C4—431no—
1196C2×C22⋊C4—431no—
1197C2×C22⋊C4—431no—
1198C2×C22⋊C4—431no—
1199C2×C22⋊C4—431no—
1200C2×C22⋊C4—431no—
1201C2×C22⋊C4—431no—
1202C2×C22⋊C4—431no—
1203C2×C22⋊C4—431no—
1204C2×C22⋊C4—431no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—1722no—
1213C2×C22⋊C4—1722no—
1214C2×C22⋊C4—1722no—
1215C2×C22⋊C4C22×D4311yescharacteristic
1216C2×C22⋊C4C22×D4311yescharacteristic
1217C2×C22⋊C4C22×D4311yescharacteristic
1218C2×C22⋊C4C22×D4311yescharacteristic
1219C2×C42—431no—
1220C2×C42—431no—
1221C2×C42—431no—
1222C2×C42C22×D4311yescharacteristic
1223C2×C42C22×D4311yescharacteristic
1224#95—431no—
1225#95—431no—
1226#95—431no—
1227#95—431no—
1228#95—431no—
1229#95—431no—
1230#95—431no—
1231#95—431no—
1232#95—431no—
1233#95—431no—
1234#95—431no—
1235#95—431no—
1236#95—431no—
1237#95—431no—
1238#95—431no—
1239#95—431no—
1240#95—431no—
1241#95—431no—
1242#95—431no—
1243#95—431no—
1244#95C22×D4311yescharacteristic
1245#95C22×D4311yescharacteristic
1246#95C22×D4311yescharacteristic
1247#95C22×D4311yescharacteristic
1248#95C22×D4311yescharacteristic
1249#95C22×D4311yescharacteristic
1250#95C22×D4311yescharacteristic
1251#95C22×D4311yescharacteristic
1252#95C22×D4311yescharacteristic
1253#95C22×D4311yescharacteristic
1254#95C22×D4311yescharacteristic
1255#95C22×D4311yescharacteristic
1256#95C22×D4311yescharacteristic
1257#95C22×D4311yescharacteristic
1258#95C22×D4311yescharacteristic
1259#95C22×D4311yescharacteristic
1260C24—431no—
1261C24—431no—
1262C24—431no—
1263C24—431no—
1264C24—431no—
1265C24—431no—
1266C24—431no—
1267C24—862no—
1268C24—862no—
1269C24—862no—
1270C24—862no—
1271C24—862no—
1272C24—862no—
1273C24—862no—
1274C24—862no—
1275C24—1721no—
1276C24—1721no—
1277C24—1721no—
1278C24—1721no—
1279C24—1721no—
1280C24—1721no—
1281C24C23×D4311yescharacteristic
1282C2×D4—862no—
1283C2×D4—862no—
1284C2×D4—862no—
1285C2×D4—862no—
1286C2×D4—862no—
1287C2×D4—862no—
1288C2×D4—862no—
1289C2×D4—862no—
1290C2×D4—862no—
1291C2×D4—862no—
1292C2×D4—862no—
1293C2×D4—862no—
1294C2×D4—862no—
1295C2×D4—862no—
1296C2×D4—862no—
1297C2×D4—862no—
1298C2×D4—862no—
1299C2×D4—862no—
1300C2×D4—862no—
1301C2×D4—862no—
1302C2×D4—862no—
1303C2×D4—862no—
1304C2×D4—862no—
1305C2×D4—862no—
1306C2×D4—862no—
1307C2×D4—1721no—
1308C2×D4—1721no—
1309C2×D4—1721no—
1310C2×D4—1721no—
1311C2×D4—1721no—
1312C2×D4—1721no—
1313C2×D4—1721no—
1314C2×D4—1721no—
1315C2×D4—1721no—
1316C2×D4—1721no—
1317C2×D4—1721no—
1318C2×D4—1721no—
1319C2×D4—1721no—
1320C2×D4—1721no—
1321C2×D4—1721no—
1322C2×D4—1721no—
1323C2×D4—1721no—
1324C2×D4—1721no—
1325C2×D4—1721no—
1326C2×D4—1721no—
1327C2×D4—1721no—
1328C2×D4—1721no—
1329C2×D4—1721no—
1330C2×D4—1721no—
1331C2×D4—1721no—
1332C2×D4—1721no—
1333C2×D4—1721no—
1334C2×D4—1721no—
1335C2×D4—1721no—
1336C2×D4—1721no—
1337C2×D4—1721no—
1338C2×D4—1721no—
1339C2×D4—1721no—
1340C2×D4—1721no—
1341C2×D4—1721no—
1342C2×D4—1721no—
1343C2×D4—1721no—
1344C2×D4—1721no—
1345C2×D4—1721no—
1346C2×D4—1721no—
1347C2×D4—1721no—
1348C2×D4—17216no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—431no—
1358C22×C4—431no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—431no—
1362C22×C4—431no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—862no—
1367C22×C4—862no—
1368C22×C4—862no—
1369C22×C4—862no—
1370C22×C4—862no—
1371C22×C4—862no—
1372C22×C4—862no—
1373C22×C4—1721no—
1374C22×C4—1721no—
1375C22×C4—1721no—
1376C22×C4—1721no—
1377C22×C4—1721no—
1378C22×C4—1721no—
1379C22×C4—1721no—
1380C22×C4—1721no—
1381C22×C4—1721no—
1382C22×C4—1721no—
1383C22×C4—1721no—
1384C22×C4—1721no—
1385C22×C4—1721no—
1386C22×C4—1721no—
1387C22×C4—1721no—
1388C22×C4—1721no—
1389C22×C4—17216no—
1390C22×C4—1721no—
1391C22×C4—1721no—
1392C22×C4—1721no—
1393C22×C4—1721no—
1394C22×C4#1062190214yes—
1395C22×C4C23×D4311yescharacteristic
1396C22×C4C23×D4311yescharacteristic
1397C22×C4C23×D4311yescharacteristic
1398C22×C4C23×D4311yescharacteristic
1399C22×C4C23×D4311yescharacteristic
1400C22×C4C23×D4311yescharacteristic
1401C22×C4C23×D4311yescharacteristic
1402C22×C4C23×D4311yescharacteristic
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405C22×C4C23×D4311yescharacteristic
1406C22×C4C23×D4311yescharacteristic
1407C22×C4C23×D4311yescharacteristic
1408C22×C4C23×D4311yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—862no—
1420C4⋊C4—862no—
1421C4⋊C4—1721no—
1422C4⋊C4—1721no—
1423C4⋊C4—1721no—
1424C4⋊C4—1721no—
1425C4⋊C4—1721no—
1426C4⋊C4—1721no—
1427C4⋊C4—1721no—
1428C4⋊C4—1721no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—862no—
1434C22⋊C4—862no—
1435C22⋊C4—862no—
1436C22⋊C4—862no—
1437C22⋊C4—862no—
1438C22⋊C4—862no—
1439C22⋊C4—862no—
1440C22⋊C4—862no—
1441C22⋊C4—862no—
1442C22⋊C4—862no—
1443C22⋊C4—862no—
1444C22⋊C4—1721no—
1445C22⋊C4—1721no—
1446C22⋊C4—1721no—
1447C22⋊C4—1721no—
1448C22⋊C4—1721no—
1449C22⋊C4—1721no—
1450C22⋊C4—1721no—
1451C22⋊C4—1721no—
1452C22⋊C4—1721no—
1453C22⋊C4—1721no—
1454C22⋊C4—1721no—
1455C22⋊C4—1721no—
1456C22⋊C4—1721no—
1457C22⋊C4—1721no—
1458C22⋊C4—1721no—
1459C22⋊C4—1721no—
1460C22⋊C4—1721no—
1461C22⋊C4—1721no—
1462C22⋊C4—1721no—
1463C22⋊C4—1721no—
1464C22⋊C4—1721no—
1465C22⋊C4—1721no—
1466C22⋊C4—1721no—
1467C22⋊C4—1721no—
1468C22⋊C4—1721no—
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—1721no—
1479C22⋊C4—1721no—
1480C22⋊C4—1721no—
1481C22⋊C4—1721no—
1482C22⋊C4—1721no—
1483C22⋊C4—1721no—
1484C22⋊C4—1721no—
1485C22⋊C4—1721no—
1486C22⋊C4—1721no—
1487C42—41no—
1488C42—41no—
1489C42—862no—
1490C42—1721no—
1491C42—1721no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—432no—
1497C23—432no—
1498C23—868no—
1499C23—861no—
1500C23—861no—
1501C23—861no—
1502C23—861no—
1503C23—861no—
1504C23—861no—
1505C23—861no—
1506C23—861no—
1507C23—861no—
1508C23—861no—
1509C23—861no—
1510C23—861no—
1511C23—861no—
1512C23—861no—
1513C23—861no—
1514C23—861no—
1515C23—861no—
1516C23—861no—
1517C23—861no—
1518C23—861no—
1519C23—861no—
1520C23—861no—
1521C23—861no—
1522C23—861no—
1523C23—861no—
1524C23—861no—
1525C23—861no—
1526C23—861no—
1527C23—861no—
1528C23—861no—
1529C23—861no—
1530C23—861no—
1531C23—861no—
1532C23—861no—
1533C23—861no—
1534C23—861no—
1535C23—861no—
1536C23—861no—
1537C23—861no—
1538C23—861no—
1539C23—861no—
1540C23—861no—
1541C23—861no—
1542C23—861no—
1543C23—861no—
1544C23—861no—
1545C23—861no—
1546C23—3442no—
1547C23—3442no—
1548C23—3442no—
1549C23—3442no—
1550C23—1724no—
1551C23—1724no—
1552C23—1724no—
1553C23—1724no—
1554C23—1724no—
1555C23—1724no—
1556C23—1724no—
1557C23—1724no—
1558C23—1724no—
1559C23C2×#1062190212yes—
1560C23#1306337112yes—
1561C23#1306337112yes—
1562C23C24×D4311yescharacteristic
1563D4—3442no—
1564D4—3442no—
1565D4—3442no—
1566D4—3442no—
1567D4—3442no—
1568D4—3442no—
1569D4—3442no—
1570D4—3442no—
1571D4—3442no—
1572D4—3442no—
1573D4—3442no—
1574D4—3442no—
1575D4—3442no—
1576D4—3442no—
1577D4—3442no—
1578D4—1724no—
1579D4—1724no—
1580D4—1724no—
1581D4—1724no—
1582D4—1724no—
1583D4—1724no—
1584D4—1724no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—82no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—861no—
1638C2×C4—861no—
1639C2×C4—861no—
1640C2×C4—861no—
1641C2×C4—861no—
1642C2×C4—861no—
1643C2×C4—861no—
1644C2×C4—861no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—861no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—3442no—
1655C2×C4—3442no—
1656C2×C4—3442no—
1657C2×C4—3442no—
1658C2×C4—1724no—
1659C2×C4—1724no—
1660C2×C4—1724no—
1661C2×C4—1724no—
1662C2×C4—1724no—
1663C2×C4C2×#1062190212yes—
1664C2×C4C2×#1062190212yes—
1665C2×C4#1306337112yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—862no—
1673C22—862no—
1674C22—862no—
1675C22—862no—
1676C22—862no—
1677C22—862no—
1678C22—3448no—
1679C22—17216no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22—1721no—
1688C22—1721no—
1689C22—1721no—
1690C22—1721no—
1691C22—1721no—
1692C22—1721no—
1693C22—1721no—
1694C22—1721no—
1695C22—1721no—
1696C22—1721no—
1697C22—1721no—
1698C22—1721no—
1699C22—1721no—
1700C22—1721no—
1701C22—1721no—
1702C22—1721no—
1703C22—1721no—
1704C22—1721no—
1705C22—1721no—
1706C22—1721no—
1707C22—1721no—
1708C22—1721no—
1709C22—1721no—
1710C22—1721no—
1711C22—1721no—
1712C22—1721no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—1721no—
1723C22#1458350514yes—
1724C22C22×#1062190211yescharacteristic
1725C22H(5,𝔽2)×D4311yescharacteristic
1726C22H(5,𝔽2)×D4311yescharacteristic
1727C22C2×#1306337111yescharacteristic
1728C22C2×#1306337111yescharacteristic
1729C22C2×#1306337111yescharacteristic
1730C22#1458373511yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—1721no—
1746C4—1721no—
1747C4—1721no—
1748C4—1721no—
1749C4—1721no—
1750C4—1721no—
1751C4—1721no—
1752C4—1721no—
1753C4—1721no—
1754C2—24no—
1755C2—3441no—
1756C2—3441no—
1757C2—3441no—
1758C2—3441no—
1759C2—3441no—
1760C2—1722no—
1761C2—1722no—
1762C2C2×#1458350511yescharacteristic
1763C2#1914828511yescharacteristic
1764C2#1914844911yescharacteristic
1765C2#1914875111yescharacteristic
1766C2#1914877211yescharacteristic
1767C2#1914878811yescharacteristic
1768C2#1914883111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2569C2
hypercenter#2569D43
hypocenterC43#36794
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2569

Complements

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

NH ≅ G/Ntype
1. #19142890C2semidirect
2. #19142878C2semidirect
3. #19142453C2semidirect
4. #19142309C2semidirect
5. #19141923C2semidirect
6. #19141878C2semidirect
7. #19141858C2semidirect
8. #19141825C2semidirect
9. #19141690C2semidirect
10. #19141327C2semidirect
11. #19141327C2semidirect
12. #19141285C2semidirect
13. #19141237C2semidirect
14. #19141181C2semidirect
15. #19141038C2semidirect
16. #19140864C2semidirect
17. #19140864C2semidirect
18. #19140838C2semidirect
19. #19140373C2semidirect
20. #19140332C2semidirect
21. #19139555C2semidirect
22. #19138232C2semidirect
23. #19138129C2semidirect
24. #19138129C2semidirect
25. #19138063C2semidirect
26. #19138063C2semidirect
27. #19137952C2semidirect
28. #19137295C2semidirect
29. #19137222C2semidirect
30. C2×#14582777C2semidirect
31. C43×#2569C2semidirect
36. C2×#13063310C22semidirect
37. C2×#13063310C22semidirect
38. C2×#13063310C22semidirect
39. C2×#13063310C22semidirect
42. C2×#13063300C22semidirect
43. C2×#13063300C22semidirect
44. C2×#13063300C22semidirect
45. C2×#13063300C22semidirect
61. #14582834C22semidirect
62. #14582834C22semidirect
63. #14582831C22semidirect
64. #14582828C22semidirect
65. #14582828C22semidirect
66. #14582828C22semidirect
67. #14582828C22semidirect
68. #14582826C22semidirect
69. #14582826C22semidirect
70. #14582826C22semidirect
71. #14582825C22semidirect
72. #14582825C22semidirect
73. #14582821C22semidirect
74. #14582821C22semidirect
77. #14582817C22semidirect
78. #14582817C22semidirect
79. #14582817C22semidirect
80. #14582817C22semidirect
81. #14582817C22semidirect
82. #14582817C22semidirect
83. #14582817C22semidirect
84. #14582816C22semidirect
85. #14582816C22semidirect
86. #14582816C22semidirect
87. #14582816C22semidirect
88. #14582816C22semidirect
89. #14582816C22semidirect
90. #14582816C22semidirect
91. #14582816C22semidirect
92. #14582816C22semidirect
93. #14582816C22semidirect
100. #14582809C22semidirect
101. #14582809C22semidirect
102. #14582809C22semidirect
103. #14582809C22semidirect
104. #14582809C22semidirect
109. #14582800C22semidirect
110. #14582800C22semidirect
111. #14582791C22semidirect
112. #14582791C22semidirect
113. #14582791C22semidirect
114. #14582791C22semidirect
115. #14582790C22semidirect
116. #14582790C22semidirect
117. #14582789C22semidirect
118. #14582789C22semidirect
119. #14582789C22semidirect
120. #14582789C22semidirect
121. #14582788C22semidirect
122. #14582788C22semidirect
123. #14582783C22semidirect
124. #14582783C22semidirect
125. #14582782C22semidirect
126. #14582782C22semidirect
137. #14582777C22semidirect
138. #14582777C22semidirect
139. #14582777C22semidirect
140. #14582777C22semidirect
141. #14582777C22semidirect
142. #14582777C22semidirect
143. #14582777C22semidirect
144. #14582777C22semidirect
145. #14582777C22semidirect
146. #14582777C22semidirect
147. #14582777C22semidirect
148. #14582777C22semidirect
149. #14582777C22semidirect
150. #14582777C22semidirect
157. #14582770C22semidirect
158. #14582770C22semidirect
159. #14582770C22semidirect
160. #14582770C22semidirect
161. #14582766C22semidirect
162. #14582763C22semidirect
163. #14582761C22semidirect
164. #14582761C22semidirect
165. #14582761C22semidirect
166. #14582758C22semidirect
167. #14582756C22semidirect
168. #14582756C22semidirect
172. C43×#400C22semidirect
173. C43×#400C22semidirect
174. C43×#398C22semidirect
175. C43×#398C22semidirect
176. C43×#387C22semidirect
177. C43×#387C22semidirect
178. C43×#387C22semidirect
179. C43×#387C22semidirect
890. #2569D43semidirect
945. #400C2×D43semidirect
946. #400C2×D43semidirect
950. #398C2×D43semidirect
951. #398C2×D43semidirect
1015. #387C2×D43semidirect
1016. #387C2×D43semidirect
1017. #387C2×D43semidirect
1018. #387C2×D43semidirect
1071. C43#36794semidirect

Maximal subgroups

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

subgroupindex
#191428902
#191428782
#191424532
#191423092
#191419232
#191418782
#191418582
#191418252
#191416902
#191413272
#191412852
#191412372
#191411812
#191410382
#191408642
#191408382
#191403732
#191403322
#191395552
#191382322
#191381292
#191380632
#191379522
#191372952
#191372222
C2×#145827772
C43×#25692
#3679443