Finite Group Databasebeta

← #25269165

Subgroups — #25269165

Order 11008.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583460C211yesmaximal, characteristic
2C2×C4×D4×D43C211yesmaximal, characteristic, complemented
3#19142919C211yesmaximal, characteristic, complemented
4#19142919C211yesmaximal, characteristic, complemented
5#19142890C211yesmaximal, characteristic, complemented
6#19142888C211yesmaximal, characteristic, complemented
7#19140382C211yesmaximal, characteristic, complemented
8#19140376C211yesmaximal, characteristic, complemented
9#19140369C211yesmaximal, characteristic, complemented
10#19140369C211yesmaximal, characteristic, complemented
11#19138350C211yesmaximal, characteristic, complemented
12#19138346C211yesmaximal, characteristic, complemented
13#19138344C211yesmaximal, characteristic, complemented
14#19138340C211yesmaximal, characteristic, complemented
15#19138335C211yesmaximal, characteristic, complemented
16#19138331C211yesmaximal, characteristic, complemented
17#19138329C211yesmaximal, characteristic, complemented
18#19138325C211yesmaximal, characteristic, complemented
19#19138076C211yesmaximal, characteristic, complemented
20#19138072C211yesmaximal, characteristic, complemented
21#19138068C211yesmaximal, characteristic, complemented
22#19138063C211yesmaximal, characteristic, complemented
23#19138059C211yesmaximal, characteristic, complemented
24#19138055C211yesmaximal, characteristic, complemented
25#19138051C211yesmaximal, characteristic, complemented
26#19137208C211yesmaximal, characteristic, complemented
27#19137172C211yesmaximal, characteristic, complemented
28#19137169C211yesmaximal, characteristic, complemented
29C2×#14582777C211yesmaximal, characteristic, complemented
30#385×D43C211yesmaximal, characteristic, complemented
31C43×#2419C211yesmaximal, characteristic, complemented
32C23×D172C2211yescharacteristic
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic, complemented
36#14583460—28no—
37C2×#13063310C2211yescharacteristic
38C2×#13063310C2211yescharacteristic
39C2×#13063310C2211yescharacteristic, complemented
40C2×#13063310C2211yescharacteristic, complemented
41C2×#13063309C2211yescharacteristic, complemented
42C2×#13063308C2211yescharacteristic
43C2×#13063308C2211yescharacteristic, complemented
44C2×#13063300C2211yescharacteristic
45C2×#13063300C2211yescharacteristic
46C2×#13063298C2211yescharacteristic
47C2×#13063298C2211yescharacteristic
48C2×#13063295C2211yescharacteristic
49C2×#13063295C2211yescharacteristic
50C2×#13063295C2211yescharacteristic
51C2×#13063293C2211yescharacteristic
52C2×C4×D172C2211yescharacteristic, complemented
53C2×D4×Dic43C2211yescharacteristic
54C2×#13063287C2211yescharacteristic, complemented
55C2×C4×C22⋊D43C2211yescharacteristic
56C2×C4×C22⋊D43C2211yescharacteristic, complemented
57C2×(C22⋊D43)⋊C4C2211yescharacteristic
58C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
59C4×D4×D43—28no—
60C2×C4⋊C4×D43C2211yescharacteristic, complemented
61C2×C4⋊C4×D43C2211yescharacteristic, complemented
62C2×C4⋊C4×D43C2211yescharacteristic, complemented
63C22×(C2×D43)⋊C4C2211yescharacteristic
64C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
65C22×(C2×D43)⋊C4C2211yescharacteristic, complemented
66C2×C22⋊C4×D43C2211yescharacteristic
67C2×C22⋊C4×D43C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic, complemented
70C2×C42×D43C2211yescharacteristic, complemented
71#14582840C2211yescharacteristic, complemented
72#14582840C2211yescharacteristic, complemented
73#14582838C2211yescharacteristic, complemented
74#14582836C2211yescharacteristic, complemented
75#14582834C2211yescharacteristic, complemented
76#14582834C2211yescharacteristic, complemented
77#14582834C2211yescharacteristic, complemented
78#14582833C2211yescharacteristic, complemented
79#14582833C2211yescharacteristic, complemented
80#14582829C2211yescharacteristic, complemented
81#14582828C2211yescharacteristic, complemented
82#14582828C2211yescharacteristic, complemented
83#14582828C2211yescharacteristic, complemented
84#14582828C2211yescharacteristic, complemented
85#14582827C2211yescharacteristic, complemented
86#14582827C2211yescharacteristic, complemented
87#14582826C2211yescharacteristic, complemented
88#14582826C2211yescharacteristic, complemented
89#14582826C2211yescharacteristic, complemented
90#14582825C2211yescharacteristic, complemented
91#14582817C2211yescharacteristic, complemented
92#14582817C2211yescharacteristic, complemented
93#14582816C2211yescharacteristic, complemented
94#14582816C2211yescharacteristic, complemented
95#14582815C2211yescharacteristic, complemented
96#14582815C2211yescharacteristic, complemented
97#14582814C2211yescharacteristic, complemented
98#14582814C2211yescharacteristic, complemented
99#14582791C2211yescharacteristic, complemented
100#14582791C2211yescharacteristic, complemented
101#14582790C2211yescharacteristic, complemented
102#14582790C2211yescharacteristic, complemented
103#14582789C2211yescharacteristic, complemented
104#14582789C2211yescharacteristic, complemented
105#14582788C2211yescharacteristic, complemented
106#14582788C2211yescharacteristic, complemented
107#14582782C2211yescharacteristic, complemented
108#14582782C2211yescharacteristic, complemented
109#14582781C2211yescharacteristic, complemented
110#14582781C2211yescharacteristic, complemented
111#14582780C2211yescharacteristic, complemented
112#14582780C2211yescharacteristic, complemented
113#14582779C2211yescharacteristic
114#14582778C2211yescharacteristic
115#14582778C2211yescharacteristic, complemented
116#14582777C2211yescharacteristic
117#14582777C2211yescharacteristic
118#14582777C2211yescharacteristic
119#14582777C2211yescharacteristic
120#14582777C2211yescharacteristic
121#14582777C2211yescharacteristic
122#14582777C2211yescharacteristic
123#14582777C2211yescharacteristic
124#14582777C2211yescharacteristic, complemented
125#14582777C2211yescharacteristic, complemented
126#14582777C2211yescharacteristic, complemented
127#14582777C2211yescharacteristic, complemented
128#14582777C2211yescharacteristic, complemented
129#14582777C2211yescharacteristic, complemented
130#14582777C2211yescharacteristic, complemented
131#14582777C2211yescharacteristic, complemented
132#14582777C2211yescharacteristic, complemented
133#14582777C2211yescharacteristic, complemented
134#14582777C2211yescharacteristic, complemented
135#14582777C2211yescharacteristic, complemented
136#14582776C2211yescharacteristic
137#14582776C2211yescharacteristic, complemented
138#14582775C2211yescharacteristic, complemented
139#14582775C2211yescharacteristic, complemented
140#14582774C2211yescharacteristic, complemented
141#14582773C2211yescharacteristic, complemented
142#14582773C2211yescharacteristic, complemented
143#14582773C2211yescharacteristic, complemented
144#14582773C2211yescharacteristic, complemented
145#14582773C2211yescharacteristic, complemented
146#14582773C2211yescharacteristic, complemented
147#14582773C2211yescharacteristic, complemented
148#14582773C2211yescharacteristic, complemented
149#14582772C2211yescharacteristic, complemented
150#14582771C2211yescharacteristic, complemented
151#14582771C2211yescharacteristic, complemented
152#14582770C2211yescharacteristic, complemented
153#14582770C2211yescharacteristic, complemented
154#14582770C2211yescharacteristic, complemented
155#14582770C2211yescharacteristic, complemented
156#14582770C2211yescharacteristic, complemented
157#14582770C2211yescharacteristic, complemented
158#14582762C2211yescharacteristic, complemented
159#14582761C2211yescharacteristic, complemented
160#14582761C2211yescharacteristic, complemented
161#14582761C2211yescharacteristic, complemented
162#14582761C2211yescharacteristic, complemented
163#14582760C2211yescharacteristic, complemented
164#14582759C2211yescharacteristic, complemented
165#14582757C2211yescharacteristic, complemented
166#14582757C2211yescharacteristic, complemented
167#14582754C2211yescharacteristic, complemented
168#14582754C2211yescharacteristic, complemented
169#14582754C2211yescharacteristic, complemented
170#14582754C2211yescharacteristic, complemented
171C2×C43⋊#95C2211yescharacteristic, complemented
172#95×D43C2211yescharacteristic, complemented
173#95×D43C2211yescharacteristic, complemented
174C2×#123×C43C2211yescharacteristic
175C2×C4×D4×C43C2211yescharacteristic
176C43×#400C2211yescharacteristic, complemented
177C43×#398C2211yescharacteristic, complemented
178C43×#397C2211yescharacteristic, complemented
179C43×#397C2211yescharacteristic, complemented
180C43×#387C2211yescharacteristic, complemented
181C43×#387C2211yescharacteristic, complemented
182C43×#386C2211yescharacteristic
183C43×#385C2211yescharacteristic, complemented
184C43×#385C2211yescharacteristic, complemented
185C43×#381C2211yescharacteristic, complemented
186C43×#381C2211yescharacteristic, complemented
187C43×#380C2211yescharacteristic, complemented
188C2×#95×C43C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C24×D43C2311yescharacteristic
192C22×D172—24no—
193C22×D172—24no—
194C22×D172—24no—
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×D172C2311yescharacteristic
200C22×D172C2311yescharacteristic
201C22×D172C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C2×D4×D43—24no—
207C2×D4×D43—24no—
208C2×D4×D43D418yes—
209C23×Dic43C2311yescharacteristic
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C22×C4×D43—24no—
213C22×C4×D43—24no—
214C22×C4×D43—42no—
215C22×C4×D43—42no—
216C22×C4×D43—42no—
217C22×C4×D43—42no—
218C22×C4×D43C2311yescharacteristic
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231#13063310—24no—
232#13063310—24no—
233#13063310—42no—
234#13063310—42no—
235#13063309—42no—
236#13063308—24no—
237#13063308—42no—
238#13063300—24no—
239#13063300—24no—
240#13063298—24no—
241#13063298—24no—
242#13063295—24no—
243#13063295—24no—
244#13063295—24no—
245#13063293—24no—
246C4×D172—24no—
247D4×Dic43—24no—
248#13063287—24no—
249C4×C22⋊D43—24no—
250C4×C22⋊D43—24no—
251(C22⋊D43)⋊C4—24no—
252(C22⋊D43)⋊C4—24no—
253C2×C4⋊Dic43C2311yescharacteristic
254C2×C4⋊Dic43C2311yescharacteristic
255C2×C4⋊Dic43C2311yescharacteristic
256C2×C4⋊Dic43C2311yescharacteristic
257C2×C4⋊Dic43C2311yescharacteristic
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
270C4⋊C4×D43—24no—
271C4⋊C4×D43—42no—
272C4⋊C4×D43—42no—
273C2×C22⋊Dic43C2311yescharacteristic
274C2×C22⋊Dic43C2311yescharacteristic
275C2×C22⋊Dic43C2311yescharacteristic
276C2×C22⋊Dic43C2311yescharacteristic
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×(C2×D43)⋊C4—24no—
280C2×(C2×D43)⋊C4—42no—
281C2×(C2×D43)⋊C4—42no—
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×(C2×D43)⋊C4C2311yescharacteristic
318C2×(C2×D43)⋊C4C2311yescharacteristic
319C2×(C2×D43)⋊C4C2311yescharacteristic
320C22⋊C4×D43—24no—
321C22⋊C4×D43—24no—
322C22⋊C4×D43—24no—
323C22⋊C4×D43—24no—
324C2×C4×Dic43C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C2×C4×Dic43C2311yescharacteristic
327C42×D43—24no—
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
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C22×D4×C43C2311yescharacteristic
355C23×C4×C43C2311yescharacteristic
356C23×C4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359#123×C43—24no—
360C4×D4×C43—24no—
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊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
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C23×D43—22no—
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—22no—
398C23×D43—41no—
399C23×D43—41no—
400C23×D43—41no—
401C23×D43—41no—
402C23×D43—41no—
403C23×D43—41no—
404C23×D43—41no—
405C23×D43—41no—
406C23×D43—41no—
407C23×D43—41no—
408C23×D43—41no—
409C23×D43—41no—
410C23×D43C2×D414yes—
411C23×D43C2×D414yes—
412C23×D43#4114yes—
413C23×D43#4114yes—
414C23×D43C2411yescharacteristic
415C23×D43C2411yescharacteristic
416C23×D43C2411yescharacteristic
417C23×D43C2411yescharacteristic
418C23×D43C2411yescharacteristic
419C2×D4×C43—22no—
420C2×D4×C43—22no—
421C2×D4×C43C2×D414yes—
422C22×C4×C43—22no—
423C22×C4×C43—22no—
424C22×C4×C43—22no—
425C22×C4×C43—22no—
426C22×C4×C43—22no—
427C22×C4×C43—22no—
428C22×C4×C43—22no—
429C22×C4×C43—22no—
430C22×C4×C43—41no—
431C22×C4×C43—41no—
432C22×C4×C43—41no—
433C22×C4×C43—41no—
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C22×C4×C43C2411yescharacteristic
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2411yescharacteristic
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2411yescharacteristic
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2411yescharacteristic
447C2×C22⋊D43—22no—
448C2×C22⋊D43—22no—
449C2×C22⋊D43—22no—
450C2×C22⋊D43—22no—
451C2×C22⋊D43—22no—
452C2×C22⋊D43—22no—
453C2×C22⋊D43—41no—
454C2×C22⋊D43—41no—
455C2×C22⋊D43—41no—
456C2×C22⋊D43—41no—
457C2×C22⋊D43C2×D414yes—
458C2×C22⋊D43C2×D414yes—
459C22×Dic43—22no—
460C22×Dic43—22no—
461C22×Dic43—22no—
462C22×Dic43—22no—
463C22×Dic43—22no—
464C22×Dic43—41no—
465C22×Dic43—41no—
466C22×Dic43—41no—
467C22×Dic43—41no—
468C22×Dic43C2411yescharacteristic
469C22×Dic43C2411yescharacteristic
470C22×Dic43C2411yescharacteristic
471C22×Dic43C2411yescharacteristic
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479D4×D43—232no—
480C2×D172—22no—
481C2×D172—22no—
482C2×D172—22no—
483C2×D172—22no—
484C2×D172—22no—
485C2×D172—22no—
486C2×D172—22no—
487C2×D172—22no—
488C2×D172—22no—
489C2×D172—22no—
490C2×D172—22no—
491C2×D172—22no—
492C2×D172—22no—
493C2×D172—22no—
494C2×D172—22no—
495C2×D172—22no—
496C2×D172—41no—
497C2×D172—41no—
498C2×D172—41no—
499C2×D172—41no—
500C2×D172—416no—
501C2×D172C2×D414yes—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—22no—
511C2×C4×D43—22no—
512C2×C4×D43—22no—
513C2×C4×D43—22no—
514C2×C4×D43—22no—
515C2×C4×D43—22no—
516C2×C4×D43—22no—
517C2×C4×D43—22no—
518C2×C4×D43—22no—
519C2×C4×D43—22no—
520C2×C4×D43—22no—
521C2×C4×D43—22no—
522C2×C4×D43—41no—
523C2×C4×D43—41no—
524C2×C4×D43—41no—
525C2×C4×D43—41no—
526C2×C4×D43—41no—
527C2×C4×D43—41no—
528C2×C4×D43—41no—
529C2×C4×D43—41no—
530C2×C4×D43—41no—
531C2×C4×D43—41no—
532C2×C4×D43—41no—
533C2×C4×D43—41no—
534C2×C4×D43—41no—
535C2×C4×D43—41no—
536C2×C4×D43—41no—
537C2×C4×D43—41no—
538C2×C4×D43—41no—
539C2×C4×D43—41no—
540C2×C4×D43—416no—
541C2×C4×D43—416no—
542C2×C4×D43C2×D414yes—
543C4⋊C4×C43—22no—
544C4⋊C4×C43—22no—
545C4⋊C4×C43—22no—
546C4⋊C4×C43—22no—
547C4⋊C4×C43—41no—
548C4⋊C4×C43—41no—
549C4⋊C4×C43—41no—
550C22⋊C4×C43—22no—
551C22⋊C4×C43—22no—
552C22⋊C4×C43—22no—
553C22⋊C4×C43—22no—
554C22⋊C4×C43—22no—
555C22⋊C4×C43—22no—
556C22⋊C4×C43—41no—
557C22⋊C4×C43—41no—
558C42×C43—22no—
559C22⋊Dic43—22no—
560C22⋊Dic43—22no—
561C22⋊Dic43—22no—
562C22⋊Dic43—22no—
563C22⋊Dic43—41no—
564C22⋊Dic43—41no—
565(C2×D43)⋊C4—22no—
566(C2×D43)⋊C4—22no—
567(C2×D43)⋊C4—22no—
568(C2×D43)⋊C4—22no—
569(C2×D43)⋊C4—22no—
570(C2×D43)⋊C4—22no—
571(C2×D43)⋊C4—22no—
572(C2×D43)⋊C4—22no—
573(C2×D43)⋊C4—22no—
574(C2×D43)⋊C4—22no—
575(C2×D43)⋊C4—22no—
576(C2×D43)⋊C4—22no—
577(C2×D43)⋊C4—22no—
578(C2×D43)⋊C4—22no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—22no—
585(C2×D43)⋊C4—22no—
586(C2×D43)⋊C4—22no—
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—
594(C2×D43)⋊C4—41no—
595(C2×D43)⋊C4—41no—
596(C2×D43)⋊C4—41no—
597(C2×D43)⋊C4—41no—
598(C2×D43)⋊C4—41no—
599(C2×D43)⋊C4—41no—
600(C2×D43)⋊C4—41no—
601(C2×D43)⋊C4—41no—
602(C2×D43)⋊C4—41no—
603C4⋊Dic43—22no—
604C4⋊Dic43—22no—
605C4⋊Dic43—41no—
606C4⋊Dic43—41no—
607C4⋊Dic43—41no—
608Dic43⋊C4—22no—
609Dic43⋊C4—22no—
610Dic43⋊C4—22no—
611Dic43⋊C4—22no—
612Dic43⋊C4—22no—
613Dic43⋊C4—22no—
614Dic43⋊C4—41no—
615Dic43⋊C4—41no—
616Dic43⋊C4—41no—
617Dic43⋊C4—41no—
618Dic43⋊C4—41no—
619Dic43⋊C4—41no—
620C4×Dic43—22no—
621C4×Dic43—22no—
622C4×Dic43—22no—
623C23×C43—21no—
624C23×C43—21no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43—21no—
628C23×C43—21no—
629C23×C43—21no—
630C23×C43—21no—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43C22×D412yes—
634C23×C43C22×D412yes—
635C23×C43C2×#4112yes—
636C23×C43C2×#4112yes—
637C23×C43C2511yescharacteristic
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—28no—
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—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—44no—
668C22×D43—44no—
669C22×D43—44no—
670C22×D43—44no—
671C22×D43—44no—
672C22×D43—44no—
673C22×D43—44no—
674C22×D43—44no—
675C22×D43—44no—
676C22×D43—44no—
677C22×D43—44no—
678C22×D43—44no—
679C22×D43—44no—
680C22×D43—44no—
681C22×D43—44no—
682C22×D43—82no—
683C22×D43—82no—
684C22×D43—82no—
685C22×D43—82no—
686C22×D43#123116yescomplemented
687C22×D43C22×D412yes—
688C22×D43C22×D412yes—
689C22×D43C22×D412yes—
690C22×D43C2×#4112yes—
691C22×D43C2×#4112yes—
692C22×D43C2×#4112yes—
693C22×D43C2×#4112yes—
694D4×C43—28no—
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—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—44no—
733C2×C4×C43—44no—
734C2×C4×C43—44no—
735C2×C4×C43—82no—
736C2×C4×C43C22×D412yes—
737C2×C4×C43H(5,𝔽2)12yes—
738C22⋊D43—28no—
739C22⋊D43—28no—
740C22⋊D43—82no—
741C22⋊D43—82no—
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—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—21no—
770C2×Dic43—21no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—44no—
774C2×Dic43—44no—
775C2×Dic43—82no—
776C2×Dic43C22×D412yes—
777C2×Dic43H(5,𝔽2)12yes—
778D172—28no—
779D172—44no—
780D172—44no—
781D172—44no—
782D172—44no—
783D172—82no—
784D172—82no—
785C4×D43—28no—
786C4×D43—28no—
787C4×D43—44no—
788C4×D43—44no—
789C4×D43—44no—
790C4×D43—44no—
791C4×D43—44no—
792C4×D43—44no—
793C4×D43—44no—
794C4×D43—44no—
795C4×D43—44no—
796C4×D43—82no—
797C4×D43—82no—
798#34983—431nomaximal, Sylow
799C22×C43—22no—
800C22×C43—22no—
801C22×C43—22no—
802C22×C43—22no—
803C22×C43—22no—
804C22×C43—22no—
805C22×C43—22no—
806C22×C43—22no—
807C22×C43—22no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43C2×#12314yes—
813C22×C43C23×D411yescharacteristic
814C22×C43C22×#4111yescharacteristic
815C22×C43C22×#4111yescharacteristic
816C22×C43C2×H(5,𝔽2)11yescharacteristic
817C22×C43C2×H(5,𝔽2)11yescharacteristic
818C22×C43#58511yescharacteristic
819C22×C43#58511yescharacteristic
820C2×D43—22no—
821C2×D43—22no—
822C2×D43—22no—
823C2×D43—22no—
824C2×D43—22no—
825C2×D43—22no—
826C2×D43—22no—
827C2×D43—22no—
828C2×D43—22no—
829C2×D43—22no—
830C2×D43—22no—
831C2×D43—22no—
832C2×D43—22no—
833C2×D43—22no—
834C2×D43—22no—
835C2×D43—416no—
836C2×D43—416no—
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—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—88no—
856C2×D43C2×#12314yes—
857C2×D43C2×#12314yes—
858C4×C43—22no—
859C4×C43—22no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43—41no—
863C4×C43—41no—
864C4×C43—41no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43—41no—
870C4×C43—41no—
871Dic43—22no—
872Dic43—22no—
873Dic43—41no—
874Dic43—41no—
875Dic43—41no—
876Dic43—41no—
877Dic43—41no—
878Dic43—41no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882C2×#534—431no—
883C22×C4×D4—431no—
884#2853—431no—
885#2853—431no—
886#2849—431no—
887#2849—431no—
888#2623—431no—
889#2623—431no—
890#2622—431no—
891#2622—431no—
892#2444—431no—
893#2444—431no—
894#2444—431no—
895#2444—431no—
896#2443—431no—
897#2443—431no—
898#2443—431no—
899#2443—431no—
900#2419—431no—
901#2419—431no—
902#2419—431no—
903#2419D4311yescharacteristic, complemented
904#2418—431no—
905#2418—431no—
906#2418—431no—
907#2418—431no—
908#2315—431no—
909#2308—431no—
910#2308—431no—
911C2×#386—431no—
912C2×#385—431no—
913C2×C43—24no—
914C2×C43—42no—
915C2×C43C22×#12311yescharacteristic
916C2×C43#345911yescharacteristic
917C2×C43#345911yescharacteristic
918C2×C43#348411yescharacteristic
919C2×C43#348511yescharacteristic
920C2×C43#350511yescharacteristic
921C2×C43#350511yescharacteristic
922D43—24no—
923D43—24no—
924D43—42no—
925D43—81no—
926D43—81no—
927C23×D4—431no—
928C23×D4—431no—
929C24×C4—431no—
930C24×C4—431no—
931#534—868no—
932C2×#123—431no—
933C2×#123—431no—
934C2×#123—431no—
935C2×#123—431no—
936C2×#123—431no—
937C2×#123—431no—
938C2×#123—431no—
939C2×#123C2×D4311yescharacteristic
940C2×#121—431no—
941C2×#121—431no—
942C2×#121—431no—
943C2×#121—431no—
944C2×#120—431no—
945C2×#120—431no—
946C2×#120—431no—
947C2×#120—431no—
948C2×C4×D4—431no—
949C2×C4×D4—431no—
950C2×C4×D4—431no—
951C2×C4×D4—431no—
952C2×C4×D4—431no—
953C2×C4×D4—431no—
954C2×C4×D4—431no—
955C2×C4×D4—868no—
956C2×C4×D4C2×D4311yescharacteristic
957C22×C4⋊C4—431no—
958C22×C4⋊C4—431no—
959C22×C4⋊C4—431no—
960C22×C22⋊C4—431no—
961C22×C22⋊C4—431no—
962C22×C22⋊C4—431no—
963C22×C22⋊C4—431no—
964C22×C22⋊C4—431no—
965C22×C22⋊C4—431no—
966C22×C22⋊C4—431no—
967C22×C42—431no—
968#400—431no—
969#400—431no—
970#400—431no—
971#400C2×D4311yescharacteristic, complemented
972#399—431no—
973#399—431no—
974#399—431no—
975#399—431no—
976#398—431no—
977#398—431no—
978#398—431no—
979#398C2×D4311yescharacteristic, complemented
980#397—431no—
981#397—431no—
982#397—431no—
983#397—431no—
984#397—431no—
985#397—431no—
986#397—431no—
987#397—431no—
988#397—431no—
989#397—431no—
990#397C2×D4311yescharacteristic, complemented
991#397C2×D4311yescharacteristic, complemented
992#394—431no—
993#394—431no—
994#394—431no—
995#394—431no—
996#394—431no—
997#394—431no—
998#394—431no—
999#394—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#387—431no—
1009#387—431no—
1010#387—431no—
1011#387—431no—
1012#387—431no—
1013#387—431no—
1014#387C2×D4311yescharacteristic, complemented
1015#387C2×D4311yescharacteristic, complemented
1016#386—431no—
1017#386—431no—
1018#386—431no—
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#386C2×D4311yescharacteristic
1044#385—431no—
1045#385—431no—
1046#385—431no—
1047#385—431no—
1048#385—431no—
1049#385—431no—
1050#385—431no—
1051#385—431no—
1052#385—431no—
1053#385—431no—
1054#385—431no—
1055#385—431no—
1056#385—431no—
1057#385—431no—
1058#385—431no—
1059#385—431no—
1060#385—431no—
1061#385—431no—
1062#385C2×D4311yescharacteristic, complemented
1063#385C2×D4311yescharacteristic, complemented
1064#381—431no—
1065#381—431no—
1066#381—431no—
1067#381—431no—
1068#381—431no—
1069#381—431no—
1070#381C2×D4311yescharacteristic, complemented
1071#381C2×D4311yescharacteristic, complemented
1072#380—431no—
1073#380—431no—
1074#380—431no—
1075#380C2×D4311yescharacteristic, complemented
1076#379—431no—
1077#379—431no—
1078#379—431no—
1079#379—431no—
1080C2×#95—431no—
1081C2×#95—431no—
1082C2×#95—431no—
1083C2×#95C2×D4311yescharacteristic, complemented
1084C43#3498311yescharacteristic, complemented, Sylow
1085C25—431no—
1086C25—431no—
1087C25—431no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—438no—
1091C22×D4—431no—
1092C22×D4—431no—
1093C22×D4—431no—
1094C22×D4—431no—
1095C22×D4—431no—
1096C22×D4—431no—
1097C22×D4—431no—
1098C22×D4—431no—
1099C22×D4—431no—
1100C22×D4—864no—
1101C22×D4—864no—
1102C22×D4—864no—
1103C22×D4—864no—
1104C22×D4—864no—
1105C22×D4C22×D4311yescharacteristic
1106C23×C4—431no—
1107C23×C4—431no—
1108C23×C4—431no—
1109C23×C4—431no—
1110C23×C4—431no—
1111C23×C4—431no—
1112C23×C4—431no—
1113C23×C4—431no—
1114C23×C4—431no—
1115C23×C4—431no—
1116C23×C4—431no—
1117C23×C4—431no—
1118C23×C4—431no—
1119C23×C4—431no—
1120C23×C4—431no—
1121C23×C4—431no—
1122C23×C4—864no—
1123C23×C4—864no—
1124C23×C4—1722no—
1125C23×C4—1722no—
1126C23×C4—1722no—
1127C23×C4—1722no—
1128C23×C4C22×D4311yescharacteristic
1129C23×C4C22×D4311yescharacteristic
1130C23×C4C22×D4311yescharacteristic
1131C23×C4C22×D4311yescharacteristic
1132#123—24no—
1133#123—864no—
1134#123—864no—
1135#123—864no—
1136#123—1722no—
1137#123—1722no—
1138#123—1722no—
1139#123—1722no—
1140#121—864no—
1141#121—864no—
1142#121—864no—
1143#121—864no—
1144#120—864no—
1145#120—864no—
1146#120—864no—
1147#120—864no—
1148C4×D4—24no—
1149C4×D4—864no—
1150C4×D4—864no—
1151C4×D4—864no—
1152C4×D4—864no—
1153C4×D4—864no—
1154C4×D4—864no—
1155C4×D4—864no—
1156C2×C4⋊C4—431no—
1157C2×C4⋊C4—431no—
1158C2×C4⋊C4—431no—
1159C2×C4⋊C4—431no—
1160C2×C4⋊C4—431no—
1161C2×C4⋊C4—431no—
1162C2×C4⋊C4—431no—
1163C2×C4⋊C4—431no—
1164C2×C4⋊C4—431no—
1165C2×C4⋊C4—431no—
1166C2×C4⋊C4—431no—
1167C2×C4⋊C4—431no—
1168C2×C4⋊C4—431no—
1169C2×C4⋊C4—431no—
1170C2×C4⋊C4—431no—
1171C2×C4⋊C4—431no—
1172C2×C4⋊C4—431no—
1173C2×C4⋊C4—864no—
1174C2×C4⋊C4—1722no—
1175C2×C4⋊C4—1722no—
1176C2×C4⋊C4C22×D4311yescharacteristic
1177C2×C4⋊C4C22×D4311yescharacteristic
1178C2×C4⋊C4C22×D4311yescharacteristic
1179C2×C4⋊C4C22×D4311yescharacteristic
1180C2×C4⋊C4C22×D4311yescharacteristic
1181C2×C4⋊C4C22×D4311yescharacteristic
1182C2×C4⋊C4C22×D4311yescharacteristic
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—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—431no—
1221C2×C22⋊C4—431no—
1222C2×C22⋊C4—431no—
1223C2×C22⋊C4—431no—
1224C2×C22⋊C4—431no—
1225C2×C22⋊C4—431no—
1226C2×C22⋊C4—431no—
1227C2×C22⋊C4—864no—
1228C2×C22⋊C4—864no—
1229C2×C22⋊C4—864no—
1230C2×C22⋊C4—864no—
1231C2×C22⋊C4—864no—
1232C2×C22⋊C4—1722no—
1233C2×C22⋊C4—1722no—
1234C2×C22⋊C4C22×D4311yescharacteristic
1235C2×C22⋊C4C22×D4311yescharacteristic
1236C2×C22⋊C4C22×D4311yescharacteristic
1237C2×C22⋊C4C22×D4311yescharacteristic
1238C2×C22⋊C4C22×D4311yescharacteristic
1239C2×C22⋊C4C22×D4311yescharacteristic
1240C2×C22⋊C4C22×D4311yescharacteristic
1241C2×C22⋊C4C22×D4311yescharacteristic
1242C2×C42—431no—
1243C2×C42—431no—
1244C2×C42—431no—
1245C2×C42—864no—
1246C2×C42C22×D4311yescharacteristic
1247#95—431no—
1248#95—431no—
1249#95—431no—
1250#95—431no—
1251#95—431no—
1252#95—431no—
1253#95—431no—
1254#95—431no—
1255#95—431no—
1256#95—431no—
1257#95—431no—
1258#95—431no—
1259#95—431no—
1260#95—431no—
1261#95—431no—
1262#95—431no—
1263#95—431no—
1264#95—431no—
1265#95—431no—
1266#95—431no—
1267#95—431no—
1268#95—431no—
1269#95—431no—
1270#95—431no—
1271#95—431no—
1272#95—431no—
1273#95C22×D4311yescharacteristic
1274#95C22×D4311yescharacteristic
1275#95C22×D4311yescharacteristic
1276#95C22×D4311yescharacteristic
1277#95C22×D4311yescharacteristic
1278#95C22×D4311yescharacteristic
1279#95C22×D4311yescharacteristic
1280#95C22×D4311yescharacteristic
1281#95C22×D4311yescharacteristic
1282#95C22×D4311yescharacteristic
1283#95C22×D4311yescharacteristic
1284#95C22×D4311yescharacteristic
1285#95C22×D4311yescharacteristic
1286#95C22×D4311yescharacteristic
1287C24—431no—
1288C24—431no—
1289C24—434no—
1290C24—434no—
1291C24—434no—
1292C24—431no—
1293C24—434no—
1294C24—431no—
1295C24—431no—
1296C24—862no—
1297C24—862no—
1298C24—862no—
1299C24—862no—
1300C24—862no—
1301C24—1721no—
1302C24—1721no—
1303C24—1721no—
1304C24—1721no—
1305C24—1721no—
1306C24—1721no—
1307C24—1721no—
1308C24—1721no—
1309C24—1721no—
1310C24—1721no—
1311C24—1721no—
1312C24—1721no—
1313C24C23×D4311yescharacteristic
1314C24C23×D4311yescharacteristic
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—434no—
1318C2×D4—434no—
1319C2×D4—434no—
1320C2×D4—862no—
1321C2×D4—862no—
1322C2×D4—862no—
1323C2×D4—862no—
1324C2×D4—862no—
1325C2×D4—862no—
1326C2×D4—862no—
1327C2×D4—862no—
1328C2×D4—862no—
1329C2×D4—862no—
1330C2×D4—862no—
1331C2×D4—862no—
1332C2×D4—862no—
1333C2×D4—862no—
1334C2×D4—862no—
1335C2×D4—862no—
1336C2×D4—8632no—
1337C2×D4—862no—
1338C2×D4—862no—
1339C2×D4—862no—
1340C2×D4—862no—
1341C2×D4—862no—
1342C2×D4—862no—
1343C2×D4—1721no—
1344C2×D4—1721no—
1345C2×D4—1721no—
1346C2×D4—1721no—
1347C2×D4—17216no—
1348C2×D4—1721no—
1349C2×D4—1721no—
1350C2×D4—1721no—
1351C2×D4—1721no—
1352C2×D4D4×D4314yes—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—434no—
1368C22×C4—431no—
1369C22×C4—431no—
1370C22×C4—431no—
1371C22×C4—431no—
1372C22×C4—431no—
1373C22×C4—431no—
1374C22×C4—431no—
1375C22×C4—431no—
1376C22×C4—431no—
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—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—862no—
1400C22×C4—862no—
1401C22×C4—862no—
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—17216no—
1421C22×C4—17216no—
1422C22×C4—1721no—
1423C22×C4—1721no—
1424C22×C4—1721no—
1425C22×C4—1721no—
1426C22×C4C23×D4311yescharacteristic
1427C22×C4C23×D4311yescharacteristic
1428C22×C4C23×D4311yescharacteristic
1429C22×C4C23×D4311yescharacteristic
1430C22×C4C23×D4311yescharacteristic
1431C22×C4C23×D4311yescharacteristic
1432C22×C4C23×D4311yescharacteristic
1433C22×C4C23×D4311yescharacteristic
1434C22×C4C23×D4311yescharacteristic
1435C22×C4C23×D4311yescharacteristic
1436C22×C4C23×D4311yescharacteristic
1437C22×C4C23×D4311yescharacteristic
1438C22×C4C23×D4311yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—41no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—862no—
1447C4⋊C4—862no—
1448C4⋊C4—862no—
1449C4⋊C4—862no—
1450C4⋊C4—862no—
1451C4⋊C4—862no—
1452C4⋊C4—862no—
1453C4⋊C4—862no—
1454C4⋊C4—1721no—
1455C4⋊C4—1721no—
1456C4⋊C4—1721no—
1457C4⋊C4—1721no—
1458C4⋊C4—1721no—
1459C4⋊C4—1721no—
1460C4⋊C4—1721no—
1461C4⋊C4—1721no—
1462C4⋊C4—1721no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—862no—
1472C22⋊C4—862no—
1473C22⋊C4—862no—
1474C22⋊C4—862no—
1475C22⋊C4—862no—
1476C22⋊C4—862no—
1477C22⋊C4—862no—
1478C22⋊C4—862no—
1479C22⋊C4—862no—
1480C22⋊C4—862no—
1481C22⋊C4—862no—
1482C22⋊C4—862no—
1483C22⋊C4—862no—
1484C22⋊C4—862no—
1485C22⋊C4—862no—
1486C22⋊C4—862no—
1487C22⋊C4—862no—
1488C22⋊C4—862no—
1489C22⋊C4—862no—
1490C22⋊C4—862no—
1491C22⋊C4—862no—
1492C22⋊C4—862no—
1493C22⋊C4—862no—
1494C22⋊C4—862no—
1495C22⋊C4—862no—
1496C22⋊C4—862no—
1497C22⋊C4—1721no—
1498C22⋊C4—1721no—
1499C22⋊C4—1721no—
1500C22⋊C4—1721no—
1501C22⋊C4—1721no—
1502C22⋊C4—1721no—
1503C22⋊C4—1721no—
1504C22⋊C4—1721no—
1505C22⋊C4—1721no—
1506C22⋊C4—1721no—
1507C22⋊C4—1721no—
1508C22⋊C4—1721no—
1509C22⋊C4—1721no—
1510C22⋊C4—1721no—
1511C22⋊C4—1721no—
1512C22⋊C4—1721no—
1513C22⋊C4—1721no—
1514C22⋊C4—1721no—
1515C42—22no—
1516C42—862no—
1517C42—862no—
1518C42—862no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—432no—
1530C23—432no—
1531C23—432no—
1532C23—432no—
1533C23—432no—
1534C23—432no—
1535C23—4316no—
1536C23—432no—
1537C23—868no—
1538C23—861no—
1539C23—861no—
1540C23—861no—
1541C23—861no—
1542C23—861no—
1543C23—861no—
1544C23—861no—
1545C23—861no—
1546C23—861no—
1547C23—861no—
1548C23—861no—
1549C23—861no—
1550C23—861no—
1551C23—861no—
1552C23—861no—
1553C23—861no—
1554C23—861no—
1555C23—861no—
1556C23—861no—
1557C23—861no—
1558C23—861no—
1559C23—861no—
1560C23—861no—
1561C23—861no—
1562C23—861no—
1563C23—861no—
1564C23—861no—
1565C23—861no—
1566C23—3442no—
1567C23—3442no—
1568C23—3442no—
1569C23—3442no—
1570C23—1724no—
1571C23—1724no—
1572C23—1724no—
1573C23—1724no—
1574C23—1724no—
1575C23—1724no—
1576C23—1724no—
1577C23—1724no—
1578C23—1724no—
1579C23—1724no—
1580C23—1724no—
1581C23—1724no—
1582C23—1724no—
1583C23—1724no—
1584C23—1724no—
1585C23C2×D4×D4312yes—
1586C23C2×D4×D4312yes—
1587C23#41×D4312yes—
1588C23#41×D4312yes—
1589C23C24×D4311yescharacteristic
1590D4—28no—
1591D4—868no—
1592D4—868no—
1593D4—868no—
1594D4—3442no—
1595D4—3442no—
1596D4—3442no—
1597D4—3442no—
1598D4—1724no—
1599D4—1724no—
1600D4—1724no—
1601D4—1724no—
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—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—82no—
1643C2×C4—432no—
1644C2×C4—432no—
1645C2×C4—868no—
1646C2×C4—868no—
1647C2×C4—861no—
1648C2×C4—861no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—861no—
1665C2×C4—861no—
1666C2×C4—861no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—3442no—
1679C2×C4—3442no—
1680C2×C4—3442no—
1681C2×C4—1724no—
1682C2×C4—1724no—
1683C2×C4—1724no—
1684C2×C4—1724no—
1685C2×C4—1724no—
1686C2×C4—1724no—
1687C2×C4—1724no—
1688C2×C4—1724no—
1689C2×C4—1724no—
1690C2×C4—1724no—
1691C2×C4—1724no—
1692C2×C4C2×D4×D4312yes—
1693C2×C4#1306337112yes—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—434no—
1708C22—434no—
1709C22—862no—
1710C22—862no—
1711C22—862no—
1712C22—862no—
1713C22—862no—
1714C22—862no—
1715C22—862no—
1716C22—862no—
1717C22—862no—
1718C22—862no—
1719C22—862no—
1720C22—862no—
1721C22—862no—
1722C22—862no—
1723C22—862no—
1724C22—3448no—
1725C22—17216no—
1726C22—17216no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—1721no—
1736C22—1721no—
1737C22—1721no—
1738C22—1721no—
1739C22—1721no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22#123×D4314yes—
1746C22C22×D4×D4311yescharacteristic
1747C22C2×#41×D4311yescharacteristic
1748C22C2×#41×D4311yescharacteristic
1749C22H(5,𝔽2)×D4311yescharacteristic
1750C22C2×#1306337111yescharacteristic
1751C22#1458373511yescharacteristic
1752C22#1458373611yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—862no—
1767C4—862no—
1768C4—1721no—
1769C4—1721no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4—1721no—
1774C4—1721no—
1775C4—1721no—
1776C4—1721no—
1777C2—24no—
1778C2—42no—
1779C2—864no—
1780C2—864no—
1781C2—3441no—
1782C2—3441no—
1783C2—1722no—
1784C2C2×#123×D4311yescharacteristic
1785C2#1914800311yescharacteristic
1786C2#1914800511yescharacteristic
1787C2#1914822511yescharacteristic
1788C2#1914823411yescharacteristic
1789C2#1914842611yescharacteristic
1790C2#1914843511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2419C2
prime radicalC2×#14583460C2
hypercenter#2419D43
hypocenterC43#34983
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2419

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D43C2semidirect
3. #19142919C2semidirect
4. #19142919C2semidirect
5. #19142890C2semidirect
6. #19142888C2semidirect
7. #19140382C2semidirect
8. #19140376C2semidirect
9. #19140369C2semidirect
10. #19140369C2semidirect
11. #19138350C2semidirect
12. #19138346C2semidirect
13. #19138344C2semidirect
14. #19138340C2semidirect
15. #19138335C2semidirect
16. #19138331C2semidirect
17. #19138329C2semidirect
18. #19138325C2semidirect
19. #19138076C2semidirect
20. #19138072C2semidirect
21. #19138068C2semidirect
22. #19138063C2semidirect
23. #19138059C2semidirect
24. #19138055C2semidirect
25. #19138051C2semidirect
26. #19137208C2semidirect
27. #19137172C2semidirect
28. #19137169C2semidirect
29. C2×#14582777C2semidirect
30. #385×D43C2semidirect
31. C43×#2419C2semidirect
35. C23×C4×D43C22semidirect
39. C2×#13063310C22semidirect
40. C2×#13063310C22semidirect
41. C2×#13063309C22semidirect
43. C2×#13063308C22semidirect
52. C2×C4×D172C22semidirect
54. C2×#13063287C22semidirect
56. C2×C4×C22⋊D43C22semidirect
58. C2×(C22⋊D43)⋊C4C22semidirect
60. C2×C4⋊C4×D43C22semidirect
61. C2×C4⋊C4×D43C22semidirect
62. C2×C4⋊C4×D43C22semidirect
64. C22×(C2×D43)⋊C4C22semidirect
65. C22×(C2×D43)⋊C4C22semidirect
69. C2×C22⋊C4×D43C22semidirect
70. C2×C42×D43C22semidirect
71. #14582840C22semidirect
72. #14582840C22semidirect
73. #14582838C22semidirect
74. #14582836C22semidirect
75. #14582834C22semidirect
76. #14582834C22semidirect
77. #14582834C22semidirect
78. #14582833C22semidirect
79. #14582833C22semidirect
80. #14582829C22semidirect
81. #14582828C22semidirect
82. #14582828C22semidirect
83. #14582828C22semidirect
84. #14582828C22semidirect
85. #14582827C22semidirect
86. #14582827C22semidirect
87. #14582826C22semidirect
88. #14582826C22semidirect
89. #14582826C22semidirect
90. #14582825C22semidirect
91. #14582817C22semidirect
92. #14582817C22semidirect
93. #14582816C22semidirect
94. #14582816C22semidirect
95. #14582815C22semidirect
96. #14582815C22semidirect
97. #14582814C22semidirect
98. #14582814C22semidirect
99. #14582791C22semidirect
100. #14582791C22semidirect
101. #14582790C22semidirect
102. #14582790C22semidirect
103. #14582789C22semidirect
104. #14582789C22semidirect
105. #14582788C22semidirect
106. #14582788C22semidirect
107. #14582782C22semidirect
108. #14582782C22semidirect
109. #14582781C22semidirect
110. #14582781C22semidirect
111. #14582780C22semidirect
112. #14582780C22semidirect
115. #14582778C22semidirect
124. #14582777C22semidirect
125. #14582777C22semidirect
126. #14582777C22semidirect
127. #14582777C22semidirect
128. #14582777C22semidirect
129. #14582777C22semidirect
130. #14582777C22semidirect
131. #14582777C22semidirect
132. #14582777C22semidirect
133. #14582777C22semidirect
134. #14582777C22semidirect
135. #14582777C22semidirect
137. #14582776C22semidirect
138. #14582775C22semidirect
139. #14582775C22semidirect
140. #14582774C22semidirect
141. #14582773C22semidirect
142. #14582773C22semidirect
143. #14582773C22semidirect
144. #14582773C22semidirect
145. #14582773C22semidirect
146. #14582773C22semidirect
147. #14582773C22semidirect
148. #14582773C22semidirect
149. #14582772C22semidirect
150. #14582771C22semidirect
151. #14582771C22semidirect
152. #14582770C22semidirect
153. #14582770C22semidirect
154. #14582770C22semidirect
155. #14582770C22semidirect
156. #14582770C22semidirect
157. #14582770C22semidirect
158. #14582762C22semidirect
159. #14582761C22semidirect
160. #14582761C22semidirect
161. #14582761C22semidirect
162. #14582761C22semidirect
163. #14582760C22semidirect
164. #14582759C22semidirect
165. #14582757C22semidirect
166. #14582757C22semidirect
167. #14582754C22semidirect
168. #14582754C22semidirect
169. #14582754C22semidirect
170. #14582754C22semidirect
171. C2×C43⋊#95C22semidirect
172. #95×D43C22semidirect
173. #95×D43C22semidirect
176. C43×#400C22semidirect
177. C43×#398C22semidirect
178. C43×#397C22semidirect
179. C43×#397C22semidirect
180. C43×#387C22semidirect
181. C43×#387C22semidirect
183. C43×#385C22semidirect
184. C43×#385C22semidirect
185. C43×#381C22semidirect
186. C43×#381C22semidirect
187. C43×#380C22semidirect
188. C2×#95×C43C22semidirect
686. C22×D43#123semidirect
903. #2419D43semidirect
971. #400C2×D43semidirect
979. #398C2×D43semidirect
990. #397C2×D43semidirect
991. #397C2×D43semidirect
1014. #387C2×D43semidirect
1015. #387C2×D43semidirect
1062. #385C2×D43semidirect
1063. #385C2×D43semidirect
1070. #381C2×D43semidirect
1071. #381C2×D43semidirect
1075. #380C2×D43semidirect
1083. C2×#95C2×D43semidirect
1084. C43#34983semidirect

Maximal subgroups

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

subgroupindex
C2×#145834602
C2×C4×D4×D432
#191429192
#191428902
#191428882
#191403822
#191403762
#191403692
#191383502
#191383462
#191383442
#191383402
#191383352
#191383312
#191383292
#191383252
#191380762
#191380722
#191380682
#191380632
#191380592
#191380552
#191380512
#191372082
#191371722
#191371692
C2×#145827772
#385×D432
C43×#24192
#3498343