Finite Group Databasebeta

← C22⋊D5×#235 #14483140

Subgroups — C22⋊D5×#235 #14483140

Order 1920.

3296 conjugacy classes of subgroups.

The subgroup lattice has 1556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C5×#235C211yesmaximal, characteristic, complemented
2C2×D5×#235C211yesmaximal, characteristic, complemented
3#11756550C211yesmaximal, characteristic, complemented
4C2×C3×C4×C22⋊D5C211yesmaximal, characteristic, complemented
5#67×C22⋊D5C212yesmaximal, complemented
6#11755393C212yesmaximal, complemented
7#11754651C211yesmaximal, characteristic, complemented
8#11754650C212yesmaximal, complemented
9#11754649C212yesmaximal, complemented
10D12×C22⋊D5C211yesmaximal, characteristic, complemented
11C4×D3×C22⋊D5C212yesmaximal, complemented
12#11754572C211yesmaximal, characteristic, complemented
13#11754563C211yesmaximal, characteristic, complemented
14#11754545C211yesmaximal, characteristic, complemented
15#11754544C211yesmaximal, characteristic, complemented
16#11754541C211yesmaximal, characteristic, complemented
17#11754540C211yesmaximal, characteristic, complemented
18#11754539C212yesmaximal, complemented
19#11754538C212yesmaximal, complemented
20Dic5×#235C211yesmaximal, characteristic, complemented
21#11754346C212yesmaximal, complemented
22#11754338C211yesmaximal, characteristic, complemented
23Dic6×C22⋊D5C211yesmaximal, characteristic, complemented
24#41×C22⋊D5—31nomaximal, Hall
25C23×C3×C4×C5C2211yescharacteristic, complemented
26C2×#6817C2211yescharacteristic, complemented
27C22×C5×#67C2212yescomplemented
28C2×C5×#235—28no—
29C2×C5×#235C2211yescharacteristic
30C2×C5×#235C2212yescomplemented
31C2×C5×#235C2211yescharacteristic, complemented
32C2×C5×#235C2211yescharacteristic, complemented
33C2×C5×#235C2211yescharacteristic, complemented
34C2×C5×#235C2212yescomplemented
35C22×C5×D12C2211yescharacteristic, complemented
36C22×C4×C5×D3C2212yescomplemented
37C22×C5×Dic6C2211yescharacteristic, complemented
38C22×C3×C22⋊D5C2211yescharacteristic
39C22×C3×C4×D5C2211yescharacteristic, complemented
40C2×D3×C22⋊D5C2212yes—
41C2×D5×#67C2212yescomplemented
42C2×#6782C2212yescomplemented
43D5×#235—28no—
44C2×D5×D12C2211yescharacteristic, complemented
45C2×C4×D3×D5C2212yescomplemented
46C2×#6773C2211yescharacteristic, complemented
47C2×#6772C2211yescharacteristic, complemented
48C2×#6771C2212yescomplemented
49C2×D5×Dic6C2211yescharacteristic, complemented
50#91842C2212yescomplemented
51#91819C2211yescharacteristic, complemented
52#91819C2211yescharacteristic, complemented
53#91818C2212yescomplemented
54C4×#1220C2212yescomplemented
55C4×#1220C2212yescomplemented
56#91815C2211yescharacteristic, complemented
57#91813C2211yescharacteristic, complemented
58#91813C2211yescharacteristic, complemented
59C2×C3×C22⋊Dic5C2211yescharacteristic, complemented
60C3×C4×C22⋊D5C2211yescharacteristic
61C3×C4×C22⋊D5C2211yescharacteristic
62C3×C4×C22⋊D5C2211yescharacteristic, complemented
63C3×C4×C22⋊D5C2211yescharacteristic, complemented
64C3×C4×C22⋊D5C2211yescharacteristic, complemented
65C3×C4×C22⋊D5C2211yescharacteristic, complemented
66C3×C4×C22⋊D5C2211yescharacteristic, complemented
67C3×C4×C22⋊D5C2211yescharacteristic, complemented
68C2×C3×#685C2211yescharacteristic, complemented
69C2×C3×#683C2211yescharacteristic, complemented
70C2×C3×C4×Dic5C2211yescharacteristic, complemented
71#91577C2212yescomplemented
72#91575C2212yescomplemented
73#91570C2212yescomplemented
74#91569C2212yescomplemented
75#91568C2212yescomplemented
76#91567C2212yescomplemented
77#91566C2212yescomplemented
78#91566C2212yescomplemented
79#91565C2212yescomplemented
80#91563C2212yescomplemented
81#91558C2212yescomplemented
82#91557C2212yescomplemented
83#91556C2212yescomplemented
84#91555C2212yescomplemented
85D3×C22⋊Dic5C2212yescomplemented
86Dic3×C22⋊D5C2212yes—
87Dic5×#67C2212yescomplemented
88Dic5×#67C2212yescomplemented
89#91549C2212yescomplemented
90#91539C2212yescomplemented
91#91525C2212yescomplemented
92#91475C2212yescomplemented
93D3×#685C2212yescomplemented
94#91455C2212yescomplemented
95#91454C2212yescomplemented
96#91453C2212yescomplemented
97#91452C2212yescomplemented
98#91451C2211yescharacteristic, complemented
99#91449C2211yescharacteristic, complemented
100#91449C2211yescharacteristic, complemented
101#91446C2212yescomplemented
102C4×#1203C2212yescomplemented
103C4×#1203C2212yescomplemented
104#91441C2212yescomplemented
105C4×#1201C2212yescomplemented
106C4×#1201C2212yescomplemented
107#91424C2212yescomplemented
108#91423C2212yescomplemented
109#91421C2212yescomplemented
110#91416C2212yescomplemented
111Dic5×D12C2211yescharacteristic, complemented
112Dic5×D12C2211yescharacteristic, complemented
113D3×#683C2212yescomplemented
114C4×D3×Dic5C2212yescomplemented
115#91376C2211yescharacteristic, complemented
116#91375C2211yescharacteristic, complemented
117#91373C2211yescharacteristic, complemented
118#91371C2212yescomplemented
119#91359C2211yescharacteristic, complemented
120#91359C2211yescharacteristic, complemented
121#91352C2212yescomplemented
122#91351C2212yescomplemented
123Dic5×Dic6C2211yescharacteristic, complemented
124Dic5×Dic6C2211yescharacteristic, complemented
125#91329C2212yescomplemented
126D4×#235—51nomaximal, Hall
127C22×C5×#41—31no—
128C2×D5×#41—31no—
129#66168—31no—
130#66166—32no—
131#66166—31no—
132#66165—31no—
133#66163—31no—
134#66163—32no—
135#66162—32no—
136#66162—31no—
137#41×Dic5—31no—
138#66158—31no—
139#66158—32no—
140#66151—31no—
141Q8×C22⋊D5—31no—
142#66140—31no—
143#66140—32no—
144D4×C22⋊D5—31no—
145D4×C22⋊D5—32no—
146#66125—32no—
147#66125—31no—
148C2×C4×C22⋊D5—32no—
149C2×C4×C22⋊D5D311yescharacteristic, complemented
150C24×C3×C5C2311yescharacteristic
151C23×C5×D3C2312yes—
152C23×C3×D5C2311yescharacteristic
153C22×D3×D5C2312yes—
154C22×C3×C4×C5—24no—
155C22×C3×C4×C5C2311yescharacteristic
156C22×C3×C4×C5C2311yescharacteristic
157C22×C3×C4×C5C2311yescharacteristic
158C22×C3×C4×C5C2311yescharacteristic
159C22×C3×C4×C5C2311yescharacteristic
160C22×C3×C4×C5C2311yescharacteristic
161C2×#1220C2312yes—
162C2×#1220C2312yes—
163C2×#1220C2312yes—
164#6817—24no—
165C2×D60C2311yescharacteristic
166C2×C4×D15C2312yes—
167C2×Dic30C2311yescharacteristic
168C2×C5×#67—28no—
169C2×C5×#67C2312yes—
170C2×C5×#67C2312yes—
171C2×C5×#67C2312yes—
172C2×C5×#67C2312yes—
173C22×C5×Dic3C2312yes—
174C5×#235—24no—
175C5×#235—28no—
176C5×#235—24no—
177C5×#235—28no—
178C5×#235—24no—
179C5×#235D418yescomplemented
180C2×C5×D12—24no—
181C2×C5×D12C2312yes—
182C2×C5×D12C2311yescharacteristic
183C2×C5×D12C2311yescharacteristic
184C2×C4×C5×D3—28no—
185C2×C4×C5×D3C2312yes—
186C2×C4×C5×D3C2312yes—
187C2×C4×C5×D3C2312yes—
188C2×C4×C5×D3C2312yes—
189C2×C5×Dic6—24no—
190C2×C5×Dic6C2312yes—
191C2×C5×Dic6C2311yescharacteristic
192C2×C5×Dic6C2311yescharacteristic
193C2×C3×C22⋊D5—24no—
194C2×C3×C22⋊D5C2311yescharacteristic
195C2×C3×C22⋊D5C2311yescharacteristic
196C2×C3×C22⋊D5C2311yescharacteristic
197C2×C3×C22⋊D5C2311yescharacteristic
198C22×C3×Dic5C2311yescharacteristic
199C22×C3×Dic5C2311yescharacteristic
200C22×C3×Dic5C2311yescharacteristic
201C2×C3×C4×D5—24no—
202C2×C3×C4×D5C2311yescharacteristic
203C2×C3×C4×D5C2311yescharacteristic
204C2×C3×C4×D5C2311yescharacteristic
205C2×C3×C4×D5C2311yescharacteristic
206D3×C22⋊D5—28no—
207D5×#67—28no—
208C2×#1204C2312yes—
209C2×#1203C2312yes—
210C2×#1203C2312yes—
211C2×#1203C2312yes—
212C2×#1202C2312yes—
213C2×#1201C2312yes—
214C2×#1201C2312yes—
215C2×#1201C2312yes—
216C2×#1200C2312yes—
217#6782—28no—
218C2×D3×Dic5C2312yes—
219C2×D3×Dic5C2312yes—
220C2×D3×Dic5C2312yes—
221C2×D5×Dic3C2312yes—
222D5×D12—24no—
223C4×D3×D5—28no—
224#6773—24no—
225#6772—24no—
226#6771—28no—
227D5×Dic6—24no—
228#6719C2312yes—
229#6719C2312yes—
230#6719C2312yes—
231#6714C2312yes—
232#6714C2312yes—
233C4⋊Dic15C2311yescharacteristic
234C4⋊Dic15C2311yescharacteristic
235#6712C2312yes—
236#6712C2312yes—
237C4×Dic15C2312yes—
238C3×C22⋊Dic5C2311yescharacteristic
239C3×C22⋊Dic5C2311yescharacteristic
240C3×C22⋊Dic5C2311yescharacteristic
241C3×C22⋊Dic5C2311yescharacteristic
242C3×#685C2311yescharacteristic
243C3×#685C2311yescharacteristic
244C3×#685C2311yescharacteristic
245C3×#685C2311yescharacteristic
246C3×#683C2311yescharacteristic
247C3×#683C2311yescharacteristic
248C3×#683C2311yescharacteristic
249C3×#683C2311yescharacteristic
250C3×C4×Dic5C2311yescharacteristic
251C3×C4×Dic5C2311yescharacteristic
252C3×C4×Dic5C2311yescharacteristic
253C3×C4×Dic5C2311yescharacteristic
254Dic3⋊Dic5C2312yes—
255Dic3⋊Dic5C2312yes—
256#6669C2312yes—
257#6669C2312yes—
258#6668C2312yes—
259#6668C2312yes—
260#6667C2312yes—
261#6667C2312yes—
262(C2×D3)⋊Dic5C2312yes—
263(C2×D3)⋊Dic5C2312yes—
264(C2×D3)⋊Dic5C2312yes—
265(C2×D3)⋊Dic5C2312yes—
266(C2×D3)⋊Dic5C2312yes—
267(C2×D3)⋊Dic5C2312yes—
268#6665C2312yes—
269#6665C2312yes—
270Dic3×Dic5C2312yes—
271Dic3×Dic5C2312yes—
272C22×#235—51no—
273C22×#235D511yescharacteristic, complemented
274C2×C3×C4×D4—51no—
275D4×#67—52no—
276#5791—51no—
277#5791—51no—
278#5553—51no—
279#5552—51no—
280#5552—51no—
281#5551—51no—
282#5550—51no—
283#5550—51no—
284D4×D12—51no—
285#5548—52no—
286#5547—52no—
287#5547—52no—
288C4×D3×D4—52no—
289D4×Dic6—51no—
290#5507—52no—
291#5490—52no—
292#5490—52no—
293#5477—51no—
294C4×#235—51no—
295C2×C5×#41—31no—
296C2×C5×#41—31no—
297C2×C5×#41—32no—
298C2×C5×#41—32no—
299C2×C5×#41—31no—
300C2×C5×#41—31no—
301C2×C5×#41—68no—
302C22×C5×Q8—31no—
303C22×C5×D4—32no—
304C22×C5×D4—31no—
305C23×C4×C5—32no—
306C23×C4×C5C2×D311yescharacteristic, complemented
307C22×C22⋊D5—32no—
308C22×C22⋊D5C2×D311yescharacteristic
309D5×#41—68no—
310C2×#713—31no—
311C2×Q8×D5—31no—
312C2×#711—32no—
313C2×#711—31no—
314C2×D4×D5—32no—
315C2×D4×D5—31no—
316C2×#709—31no—
317C2×#709—32no—
318C22×C4×D5—32no—
319C22×C4×D5C2×D311yescharacteristic, complemented
320#4099—32no—
321#4099—32no—
322#4099—32no—
323C2×C22⋊Dic5—32no—
324C2×C22⋊Dic5C2×D311yescharacteristic, complemented
325#4093—32no—
326#4093—31no—
327#4092—31no—
328#4092—31no—
329#4092—32no—
330#4092—32no—
331Q8×Dic5—31no—
332Q8×Dic5—31no—
333#4090—32no—
334#4090—31no—
335#4086—32no—
336#4086—31no—
337#4085—32no—
338#4085—32no—
339#4085—32no—
340#4085—32no—
341#4085—32no—
342#4085—32no—
343#4084—32no—
344#4084—31no—
345#4084—31no—
346#4084—32no—
347#4083—32no—
348#4083—32no—
349#4083—32no—
350#4082—32no—
351#4082—31no—
352#4081—32no—
353#4081—32no—
354#4081—32no—
355D4×Dic5—32no—
356D4×Dic5—32no—
357D4×Dic5—31no—
358D4×Dic5—31no—
359#4076—31no—
360#4076—31no—
361#4076—32no—
362#4076—32no—
363#4075—32no—
364#4075—32no—
365#4075—32no—
366C4×C22⋊D5—32no—
367C4×C22⋊D5—32no—
368C4×C22⋊D5—32no—
369C4×C22⋊D5—32no—
370C4×C22⋊D5—32no—
371C4×C22⋊D5—32no—
372C4×C22⋊D5—32no—
373C4×C22⋊D5—32no—
374C4×C22⋊D5—32no—
375C4×C22⋊D5—32no—
376C4×C22⋊D5C2×D311yescharacteristic
377C4×C22⋊D5C2×D311yescharacteristic
378C4×C22⋊D5C2×D311yescharacteristic, complemented
379C4×C22⋊D5C2×D311yescharacteristic, complemented
380C4×C22⋊D5C2×D311yescharacteristic, complemented
381C4×C22⋊D5C2×D311yescharacteristic, complemented
382C4×C22⋊D5C2×D311yescharacteristic, complemented
383C4×C22⋊D5C2×D311yescharacteristic, complemented
384C2×#685—32no—
385C2×#685C2×D311yescharacteristic, complemented
386#4072—31no—
387#4072—32no—
388#4070—31no—
389#4070—31no—
390#4070—32no—
391#4070—32no—
392C2×#683—32no—
393C2×#683C2×D311yescharacteristic, complemented
394C2×C4×Dic5—32no—
395C2×C4×Dic5C2×D311yescharacteristic, complemented
396D4×#41—151noSylow
397C23×C3×C5—22no—
398C23×C3×C5—22no—
399C23×C3×C5—41no—
400C23×C3×C5C2411yescharacteristic
401C23×C3×C5C2411yescharacteristic
402C23×C3×C5C2411yescharacteristic
403C22×D15C2412yes—
404C22×C5×D3—24no—
405C22×C5×D3—24no—
406C22×C5×D3—42no—
407C22×C5×D3C2412yes—
408C22×C5×D3C2412yes—
409C22×C3×D5—22no—
410C22×C3×D5—22no—
411C22×C3×D5—41no—
412C22×C3×D5C2411yescharacteristic
413C22×C3×D5C2411yescharacteristic
414C2×D3×D5—24no—
415C2×D3×D5—24no—
416C2×D3×D5—42no—
417C2×C3×C4×C5—22no—
418C2×C3×C4×C5—22no—
419C2×C3×C4×C5—22no—
420C2×C3×C4×C5—22no—
421C2×C3×C4×C5—22no—
422C2×C3×C4×C5C2×D414yescomplemented
423C2×C3×C4×C5C2411yescharacteristic
424C2×C3×C4×C5C2411yescharacteristic
425C2×C3×C4×C5C2411yescharacteristic
426C2×C3×C4×C5C2411yescharacteristic
427#1220—24no—
428#1220—24no—
429#1220—42no—
430C2×Dic15C2412yes—
431C2×Dic15C2412yes—
432C2×Dic15C2412yes—
433D60—22no—
434C4×D15—24no—
435Dic30—22no—
436C5×#67—24no—
437C5×#67—24no—
438C5×#67—24no—
439C5×#67C2×D418yescomplemented
440C2×C5×Dic3—24no—
441C2×C5×Dic3C2412yes—
442C2×C5×Dic3C2412yes—
443C5×D12—24no—
444C5×D12—22no—
445C5×D12C2×D414yescomplemented
446C4×C5×D3—24no—
447C4×C5×D3—24no—
448C4×C5×D3—24no—
449C4×C5×D3C2×D418yescomplemented
450C5×Dic6—22no—
451C5×Dic6—24no—
452C5×Dic6C2×D414yescomplemented
453C3×C22⋊D5—22no—
454C3×C22⋊D5—22no—
455C3×C22⋊D5—22no—
456C3×C22⋊D5#4114yescomplemented
457C2×C3×Dic5—22no—
458C2×C3×Dic5—22no—
459C2×C3×Dic5—41no—
460C2×C3×Dic5C2411yescharacteristic
461C2×C3×Dic5C2411yescharacteristic
462C2×C3×Dic5C2411yescharacteristic
463C2×C3×Dic5C2411yescharacteristic
464C2×C3×Dic5C2411yescharacteristic
465C2×C3×Dic5C2411yescharacteristic
466C3×C4×D5—22no—
467C3×C4×D5—22no—
468C3×C4×D5—22no—
469C3×C4×D5—22no—
470#1204—24no—
471#1203—24no—
472#1203—24no—
473#1203—42no—
474#1202—24no—
475#1201—24no—
476#1201—24no—
477#1201—42no—
478#1200—24no—
479D3×Dic5—24no—
480D3×Dic5—24no—
481D3×Dic5—42no—
482D5×Dic3—24no—
483C22×C3×D4—51no—
484C23×C3×C4—51no—
485C23×C3×C4C2×D511yescharacteristic, complemented
486C22×#67—52no—
487C22×#67C2×D512yescomplemented
488C2×D3×D4—52no—
489C2×#235—28no—
490C2×#235—51no—
491C2×#235—52no—
492C2×#235—51no—
493C2×#235—52no—
494C2×#235—51no—
495C2×#235—108no—
496C2×#235C2×D511yescharacteristic
497C2×#235C2×D511yescharacteristic, complemented
498C2×#235C2×D512yescomplemented
499C2×#235C2×D512yescomplemented
500C2×#235C2×D511yescharacteristic, complemented
501C2×#235C2×D511yescharacteristic, complemented
502C22×D12—51no—
503C22×D12C2×D511yescharacteristic, complemented
504C22×C4×D3—52no—
505C22×C4×D3C2×D512yescomplemented
506C22×Dic6—51no—
507C22×Dic6C2×D511yescharacteristic, complemented
508C3×C4×D4—51no—
509C3×C4×D4—51no—
510C3×C4×D4—51no—
511C3×C4×D4—51no—
512C3×C4×D4—51no—
513C3×C4×D4—51no—
514C3×C4×D4—51no—
515C3×C4×D4—51no—
516C2×C3×C4⋊C4—51no—
517C2×C3×C22⋊C4—51no—
518C2×C3×C22⋊C4—51no—
519C2×C3×C42—51no—
520#953—52no—
521#953—52no—
522#940—52no—
523#939—52no—
524#939—52no—
525#938—52no—
526#937—52no—
527#937—52no—
528D4×Dic3—52no—
529#930—51no—
530#930—51no—
531#930—52no—
532#930—52no—
533#930—51no—
534#930—51no—
535#929—52no—
536#929—52no—
537C4×#67—52no—
538C4×#67—52no—
539C4×#67—52no—
540C4×#67—52no—
541C4×#67—52no—
542C4×#67—52no—
543#926—51no—
544#924—51no—
545#924—51no—
546#924—51no—
547#924—51no—
548#896—52no—
549#896—52no—
550#895—52no—
551#894—52no—
552#894—52no—
553#893—52no—
554D3×C4⋊C4—52no—
555#888—52no—
556#885—52no—
557#885—52no—
558#884—52no—
559#884—52no—
560#884—52no—
561#884—52no—
562#883—52no—
563#883—52no—
564#882—52no—
565#882—52no—
566#67⋊C4—52no—
567#67⋊C4—52no—
568D3×C22⋊C4—52no—
569D3×C22⋊C4—52no—
570#878—52no—
571#878—52no—
572#875—51no—
573#875—51no—
574#874—51no—
575C4×D12—51no—
576C4×D12—51no—
577C4×D12—52no—
578C4×D12—52no—
579#872—52no—
580C42×D3—52no—
581#869—51no—
582C4×Dic6—51no—
583C4×Dic6—51no—
584C24×C5—32no—
585C24×C5C22×D311yescharacteristic
586C23×D5—32no—
587C23×D5C22×D311yescharacteristic
588C5×#41—38no—
589C5×#41—68no—
590C5×#41—68no—
591C5×#41—64no—
592C5×#41—64no—
593C5×#41—64no—
594C2×C5×Q8—31no—
595C2×C5×Q8—32no—
596C2×C5×Q8—31no—
597C2×C5×Q8—64no—
598C2×C5×D4—32no—
599C2×C5×D4—32no—
600C2×C5×D4—32no—
601C2×C5×D4—32no—
602C2×C5×D4—31no—
603C2×C5×D4—32no—
604C2×C5×D4—31no—
605C2×C5×D4—64no—
606C2×C5×D4—68no—
607C22×C4×C5—24no—
608C22×C4×C5—32no—
609C22×C4×C5—32no—
610C22×C4×C5—32no—
611C22×C4×C5—32no—
612C22×C4×C5—32no—
613C22×C4×C5—68no—
614C22×C4×C5C22×D311yescharacteristic
615C22×C4×C5C22×D311yescharacteristic
616C22×C4×C5C22×D311yescharacteristic
617C22×C4×C5C22×D311yescharacteristic
618C22×C4×C5C22×D311yescharacteristic
619C22×C4×C5C22×D311yescharacteristic
620C2×C22⋊D5—24no—
621C2×C22⋊D5—32no—
622C2×C22⋊D5—32no—
623C2×C22⋊D5—32no—
624C2×C22⋊D5—32no—
625C2×C22⋊D5—32no—
626C2×C22⋊D5—32no—
627C2×C22⋊D5—32no—
628C2×C22⋊D5—32no—
629C2×C22⋊D5—32no—
630C2×C22⋊D5—68no—
631C2×C22⋊D5C22×D311yescharacteristic
632C2×C22⋊D5C22×D311yescharacteristic
633C2×C22⋊D5C22×D311yescharacteristic
634C2×C22⋊D5C22×D311yescharacteristic
635C22×Dic5—32no—
636C22×Dic5—32no—
637C22×Dic5—32no—
638C22×Dic5C22×D311yescharacteristic
639C22×Dic5C22×D311yescharacteristic
640C22×Dic5C22×D311yescharacteristic
641#713—64no—
642Q8×D5—64no—
643#711—64no—
644#711—68no—
645D4×D5—64no—
646D4×D5—68no—
647#709—68no—
648#709—64no—
649C2×D20—32no—
650C2×D20—31no—
651C2×C4×D5—24no—
652C2×C4×D5—32no—
653C2×C4×D5—32no—
654C2×C4×D5—32no—
655C2×C4×D5—68no—
656C2×C4×D5C22×D311yescharacteristic
657C2×C4×D5C22×D311yescharacteristic
658C2×C4×D5C22×D311yescharacteristic
659C2×C4×D5C22×D311yescharacteristic
660C2×Dic10—31no—
661C2×Dic10—32no—
662C22⋊Dic5—32no—
663C22⋊Dic5—32no—
664C22⋊Dic5—32no—
665C22⋊Dic5—32no—
666C22⋊Dic5—32no—
667C22⋊Dic5—32no—
668C22⋊Dic5—32no—
669C22⋊Dic5—32no—
670C22⋊Dic5—32no—
671C22⋊Dic5C22×D311yescharacteristic
672C22⋊Dic5C22×D311yescharacteristic
673C22⋊Dic5C22×D311yescharacteristic
674C22⋊Dic5C22×D311yescharacteristic
675#685—32no—
676#685—32no—
677#685—32no—
678#685—32no—
679#685—32no—
680#685—32no—
681#685C22×D311yescharacteristic
682#685C22×D311yescharacteristic
683#685C22×D311yescharacteristic
684#685C22×D311yescharacteristic
685C4⋊Dic5—31no—
686C4⋊Dic5—31no—
687C4⋊Dic5—32no—
688C4⋊Dic5—32no—
689#683—32no—
690#683—32no—
691#683—32no—
692#683—32no—
693#683—32no—
694#683—32no—
695#683C22×D311yescharacteristic
696#683C22×D311yescharacteristic
697#683C22×D311yescharacteristic
698#683C22×D311yescharacteristic
699C4×Dic5—32no—
700C4×Dic5—32no—
701C4×Dic5—32no—
702C4×Dic5C22×D311yescharacteristic
703C4×Dic5C22×D311yescharacteristic
704C4×Dic5C22×D311yescharacteristic
705C4×Dic5C22×D311yescharacteristic
706C22×#41—31no—
707C22×#41—151no—
708#550—151no—
709D4×Q8—151no—
710#548—151no—
711#548—151no—
712#547—152no—
713#547—151no—
714#546—152no—
715#546—152no—
716#546—151no—
717#546—151no—
718D42—151no—
719D42—152no—
720#532—151no—
721#532—152no—
722#525—152no—
723#525—152no—
724#525—151no—
725#525—151no—
726C4×#41—151no—
727C2×C4×D4—51no—
728C2×C4×D4—152no—
729C22×C3×C5—21no—
730C22×C3×C5—21no—
731C22×C3×C5—21no—
732C22×C3×C5—21no—
733C22×C3×C5—21no—
734C22×C3×C5—21no—
735C22×C3×C5—21no—
736C22×C3×C5—44no—
737C22×C3×C5C22×D412yes—
738C22×C3×C5C2×#4112yescomplemented
739C22×C3×C5C2511yescharacteristic
740C2×D15—22no—
741C2×D15—22no—
742C2×D15—22no—
743C2×C5×D3—22no—
744C2×C5×D3—22no—
745C2×C5×D3—22no—
746C2×C5×D3—22no—
747C2×C5×D3—22no—
748C2×C5×D3—48no—
749C2×C5×D3C22×D414yes—
750C2×C3×D5—21no—
751C2×C3×D5—21no—
752C2×C3×D5—21no—
753C2×C3×D5—21no—
754C2×C3×D5—21no—
755C2×C3×D5—44no—
756C2×C3×D5C2×#4112yescomplemented
757D3×D5—48no—
758C3×C4×C5—21no—
759C3×C4×C5—21no—
760C3×C4×C5C22×D412yes—
761C3×C4×C5C22×D412yes—
762Dic15—22no—
763Dic15—22no—
764Dic15—22no—
765C3×Dic5—21no—
766C3×Dic5—21no—
767C3×Dic5—21no—
768C3×Dic5—21no—
769C3×Dic5—21no—
770C3×Dic5C2×#4112yescomplemented
771C5×Dic3—22no—
772C5×Dic3C22×D414yes—
773C24×C3—51no—
774C24×C3C22×D511yescharacteristic
775C23×D3—52no—
776C23×D3C22×D512yes—
777C2×C3×D4—51no—
778C2×C3×D4—51no—
779C2×C3×D4—51no—
780C2×C3×D4—51no—
781C2×C3×D4—104no—
782C22×C3×C4—24no—
783C22×C3×C4—51no—
784C22×C3×C4—51no—
785C22×C3×C4—51no—
786C22×C3×C4—51no—
787C22×C3×C4—51no—
788C22×C3×C4—51no—
789C22×C3×C4—51no—
790C22×C3×C4—104no—
791C22×C3×C4C22×D511yescharacteristic
792C22×C3×C4C22×D511yescharacteristic
793C22×C3×C4C22×D511yescharacteristic
794C22×C3×C4C22×D511yescharacteristic
795C22×C3×C4C22×D511yescharacteristic
796C22×C3×C4C22×D511yescharacteristic
797C2×#67—28no—
798C2×#67—52no—
799C2×#67—52no—
800C2×#67—52no—
801C2×#67—52no—
802C2×#67—52no—
803C2×#67—52no—
804C2×#67—52no—
805C2×#67—108no—
806C2×#67C22×D512yes—
807C2×#67C22×D512yes—
808C2×#67C22×D512yes—
809C2×#67C22×D512yes—
810C22×Dic3—52no—
811C22×Dic3C22×D512yes—
812D3×D4—108no—
813#235—24no—
814#235—28no—
815#235—24no—
816#235—28no—
817#235—24no—
818#235—104no—
819#235—108no—
820#235—104no—
821#235—108no—
822#235—104no—
823#235C22⋊D518yesdirect product factor
824C2×D12—24no—
825C2×D12—52no—
826C2×D12—52no—
827C2×D12—51no—
828C2×D12—52no—
829C2×D12—104no—
830C2×D12C22×D511yescharacteristic
831C2×D12C22×D512yes—
832C2×D12C22×D511yescharacteristic
833C2×C4×D3—28no—
834C2×C4×D3—52no—
835C2×C4×D3—52no—
836C2×C4×D3—52no—
837C2×C4×D3—52no—
838C2×C4×D3—52no—
839C2×C4×D3—108no—
840C2×C4×D3C22×D512yes—
841C2×C4×D3C22×D512yes—
842C2×C4×D3C22×D512yes—
843C2×C4×D3C22×D512yes—
844C2×Dic6—24no—
845C2×Dic6—51no—
846C2×Dic6—52no—
847C2×Dic6—104no—
848C2×Dic6C22×D511yescharacteristic
849C2×Dic6C22×D512yes—
850C2×Dic6C22×D511yescharacteristic
851C3×C4⋊C4—51no—
852C3×C4⋊C4—51no—
853C3×C4⋊C4—51no—
854C3×C4⋊C4—51no—
855C3×C22⋊C4—51no—
856C3×C22⋊C4—51no—
857C3×C22⋊C4—51no—
858C3×C22⋊C4—51no—
859C3×C22⋊C4—51no—
860C3×C22⋊C4—51no—
861C3×C22⋊C4—51no—
862C3×C22⋊C4—51no—
863C3×C42—51no—
864C3×C42—51no—
865C3×C42—51no—
866C3×C42—51no—
867#217—52no—
868#217—52no—
869#217—52no—
870#217—52no—
871#217—52no—
872(C2×D3)⋊C4—52no—
873(C2×D3)⋊C4—52no—
874(C2×D3)⋊C4—52no—
875(C2×D3)⋊C4—52no—
876(C2×D3)⋊C4—52no—
877(C2×D3)⋊C4—52no—
878(C2×D3)⋊C4—52no—
879(C2×D3)⋊C4—52no—
880(C2×D3)⋊C4—52no—
881(C2×D3)⋊C4—52no—
882C4⋊Dic3—51no—
883C4⋊Dic3—51no—
884C4⋊Dic3—52no—
885C4⋊Dic3—52no—
886Dic3⋊C4—52no—
887Dic3⋊C4—52no—
888Dic3⋊C4—52no—
889Dic3⋊C4—52no—
890Dic3⋊C4—52no—
891Dic3⋊C4—52no—
892C4×Dic3—52no—
893C4×Dic3—52no—
894C4×Dic3—52no—
895C23×C5—22no—
896C23×C5—22no—
897C23×C5—32no—
898C23×C5—32no—
899C23×C5—41no—
900C23×C5—64no—
901C23×C5—64no—
902C23×C5—122no—
903C23×C5C23×D311yescharacteristic
904C23×C5C23×D311yescharacteristic
905C23×C5C23×D311yescharacteristic
906C22×D5—22no—
907C22×D5—22no—
908C22×D5—32no—
909C22×D5—41no—
910C22×D5—64no—
911C22×D5—64no—
912C22×D5—122no—
913C22×D5C23×D311yescharacteristic
914C22×D5C23×D311yescharacteristic
915C5×Q8—34no—
916C5×Q8—64no—
917C5×Q8—62no—
918C5×D4—38no—
919C5×D4—34no—
920C5×D4—64no—
921C5×D4—64no—
922C5×D4—64no—
923C5×D4—64no—
924C5×D4—62no—
925C2×C4×C5—22no—
926C2×C4×C5—22no—
927C2×C4×C5—22no—
928C2×C4×C5—22no—
929C2×C4×C5—22no—
930C2×C4×C5—32no—
931C2×C4×C5—38no—
932C2×C4×C5—32no—
933C2×C4×C5—64no—
934C2×C4×C5—64no—
935C2×C4×C5—64no—
936C2×C4×C5—64no—
937C2×C4×C5D3×D414yescomplemented
938C2×C4×C5C23×D311yescharacteristic
939C2×C4×C5C23×D311yescharacteristic
940C2×C4×C5C23×D311yescharacteristic
941C2×C4×C5C23×D311yescharacteristic
942C22⋊D5—22no—
943C22⋊D5—22no—
944C22⋊D5—22no—
945C22⋊D5—64no—
946C22⋊D5—64no—
947C22⋊D5—64no—
948C22⋊D5—64no—
949C22⋊D5—64no—
950C22⋊D5—64no—
951C22⋊D5—122no—
952C22⋊D5—122no—
953C22⋊D5—122no—
954C22⋊D5#23514yesdirect product factor
955C2×Dic5—22no—
956C2×Dic5—22no—
957C2×Dic5—32no—
958C2×Dic5—32no—
959C2×Dic5—32no—
960C2×Dic5—41no—
961C2×Dic5—64no—
962C2×Dic5—64no—
963C2×Dic5—122no—
964C2×Dic5C23×D311yescharacteristic
965C2×Dic5C23×D311yescharacteristic
966C2×Dic5C23×D311yescharacteristic
967C2×Dic5C23×D311yescharacteristic
968C2×Dic5C23×D311yescharacteristic
969C2×Dic5C23×D311yescharacteristic
970D20—64no—
971D20—62no—
972C4×D5—22no—
973C4×D5—22no—
974C4×D5—22no—
975C4×D5—22no—
976C4×D5—64no—
977C4×D5—64no—
978C4×D5—64no—
979Dic10—64no—
980Dic10—62no—
981C2×#41—31no—
982C2×#41—32no—
983C2×#41—31no—
984C2×#41—31no—
985C2×#41—32no—
986C2×#41—31no—
987C2×#41—68no—
988C2×#41—152no—
989C2×#41—152no—
990C2×#41—151no—
991C2×#41—151no—
992C2×#41—151no—
993C2×#41—308no—
994C22×Q8—31no—
995C22×Q8—151no—
996C22×D4—32no—
997C22×D4—31no—
998C22×D4—51no—
999C22×D4—151no—
1000C22×D4—152no—
1001C22×D4—152no—
1002C23×C4—32no—
1003C23×C4—51no—
1004C23×C4—152no—
1005C23×C4D3×D511yescharacteristic, complemented
1006C4⋊Q8—151no—
1007C4⋊Q8—152no—
1008#127—151no—
1009#127—152no—
1010#124—151no—
1011#124—151no—
1012#124—152no—
1013#124—152no—
1014#123—152no—
1015#123—152no—
1016#123—152no—
1017#123—152no—
1018#123—152no—
1019#123—152no—
1020C22⋊Q8—152no—
1021C22⋊Q8—152no—
1022C22⋊Q8—152no—
1023C22⋊Q8—152no—
1024C22⋊Q8—151no—
1025C22⋊Q8—151no—
1026C22⋊Q8—151no—
1027C22⋊Q8—151no—
1028#121—152no—
1029#121—152no—
1030#121—152no—
1031#121—152no—
1032#121—152no—
1033#121—152no—
1034#121—151no—
1035#121—151no—
1036#121—152no—
1037#121—152no—
1038#121—152no—
1039#121—152no—
1040#121—151no—
1041#121—151no—
1042#120—152no—
1043#120—152no—
1044#120—152no—
1045#120—152no—
1046#120—152no—
1047#120—152no—
1048C4×Q8—151no—
1049C4×Q8—151no—
1050C4×D4—51no—
1051C4×D4—51no—
1052C4×D4—51no—
1053C4×D4—51no—
1054C4×D4—51no—
1055C4×D4—51no—
1056C4×D4—51no—
1057C4×D4—51no—
1058C4×D4—152no—
1059C4×D4—152no—
1060C4×D4—151no—
1061C4×D4—151no—
1062C4×D4—152no—
1063C4×D4—152no—
1064C4×D4—152no—
1065C4×D4—152no—
1066C4×D4—152no—
1067C4×D4—152no—
1068C4×D4—152no—
1069C4×D4—152no—
1070C4×D4—152no—
1071C4×D4—152no—
1072#117—152no—
1073#117—151no—
1074C2×C4⋊C4—51no—
1075C2×C4⋊C4—152no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—152no—
1079C2×C22⋊C4—152no—
1080C2×C42—51no—
1081C2×C42—152no—
1082C2×C3×C5—22no—
1083C2×C3×C5—22no—
1084C2×C3×C5—41no—
1085C2×C3×C5C23×D411yescharacteristic
1086C2×C3×C5C22×#4111yescharacteristic
1087C2×C3×C5#58511yescharacteristic
1088D15—42no—
1089C3×D5—22no—
1090C3×D5—41no—
1091C5×D3—24no—
1092C5×D3—42no—
1093C23×C3—22no—
1094C23×C3—22no—
1095C23×C3—41no—
1096C23×C3—51no—
1097C23×C3—51no—
1098C23×C3—102no—
1099C23×C3—102no—
1100C23×C3—201no—
1101C23×C3C23×D511yescharacteristic
1102C23×C3C23×D511yescharacteristic
1103C23×C3C23×D511yescharacteristic
1104C22×D3—24no—
1105C22×D3—24no—
1106C22×D3—42no—
1107C22×D3—52no—
1108C22×D3—104no—
1109C22×D3—104no—
1110C22×D3—202no—
1111C22×D3C23×D512yes—
1112C22×D3C23×D512yes—
1113C3×D4—54no—
1114C3×D4—102no—
1115C3×D4—102no—
1116C3×D4—102no—
1117C2×C3×C4—22no—
1118C2×C3×C4—22no—
1119C2×C3×C4—22no—
1120C2×C3×C4—22no—
1121C2×C3×C4—22no—
1122C2×C3×C4—51no—
1123C2×C3×C4—51no—
1124C2×C3×C4—51no—
1125C2×C3×C4—51no—
1126C2×C3×C4—51no—
1127C2×C3×C4—51no—
1128C2×C3×C4—102no—
1129C2×C3×C4—102no—
1130C2×C3×C4—102no—
1131C2×C3×C4—102no—
1132C2×C3×C4—102no—
1133C2×C3×C4—102no—
1134C2×C3×C4—201no—
1135C2×C3×C4C2×C22⋊D514yescomplemented
1136C2×C3×C4C23×D511yescharacteristic
1137C2×C3×C4C23×D511yescharacteristic
1138C2×C3×C4C23×D511yescharacteristic
1139C2×C3×C4C23×D511yescharacteristic
1140#67—24no—
1141#67—24no—
1142#67—24no—
1143#67—104no—
1144#67—104no—
1145#67—104no—
1146#67—104no—
1147#67—104no—
1148#67—202no—
1149#67—202no—
1150#67C2×C22⋊D518yescomplemented
1151C2×Dic3—24no—
1152C2×Dic3—52no—
1153C2×Dic3—52no—
1154C2×Dic3—52no—
1155C2×Dic3—104no—
1156C2×Dic3C23×D512yes—
1157C2×Dic3C23×D512yes—
1158D12—24no—
1159D12—22no—
1160D12—104no—
1161D12—104no—
1162D12—102no—
1163D12—202no—
1164D12C2×C22⋊D514yescomplemented
1165C4×D3—24no—
1166C4×D3—24no—
1167C4×D3—24no—
1168C4×D3—104no—
1169C4×D3—104no—
1170C4×D3—104no—
1171C4×D3—104no—
1172C4×D3—202no—
1173C4×D3C2×C22⋊D518yescomplemented
1174Dic6—22no—
1175Dic6—24no—
1176Dic6—102no—
1177Dic6—104no—
1178Dic6C2×C22⋊D514yescomplemented
1179C22×C5—21no—
1180C22×C5—21no—
1181C22×C5—21no—
1182C22×C5—21no—
1183C22×C5—21no—
1184C22×C5—21no—
1185C22×C5—21no—
1186C22×C5—34no—
1187C22×C5—44no—
1188C22×C5—62no—
1189C22×C5—62no—
1190C22×C5—62no—
1191C22×C5—62no—
1192C22×C5—62no—
1193C22×C5—128no—
1194C22×C5C2×#23512yescomplemented
1195C22×C5C2×D3×D412yes—
1196C22×C5C24×D311yescharacteristic
1197C2×D5—21no—
1198C2×D5—21no—
1199C2×D5—21no—
1200C2×D5—21no—
1201C2×D5—21no—
1202C2×D5—44no—
1203C2×D5—62no—
1204C2×D5—62no—
1205C2×D5—62no—
1206C2×D5—128no—
1207C2×D5C2×#23512yescomplemented
1208C4×C5—21no—
1209C4×C5—21no—
1210C4×C5—34no—
1211C4×C5—62no—
1212C4×C5C2×D3×D412yes—
1213C4×C5C2×D3×D412yes—
1214Dic5—21no—
1215Dic5—21no—
1216Dic5—21no—
1217Dic5—21no—
1218Dic5—21no—
1219Dic5—62no—
1220Dic5—62no—
1221Dic5—62no—
1222Dic5C2×#23512yescomplemented
1223C24—32no—
1224C24—51no—
1225C24—152no—
1226C24C2×D3×D511yescharacteristic
1227#41—38no—
1228#41—68no—
1229#41—68no—
1230#41—64no—
1231#41—64no—
1232#41—64no—
1233#41—308no—
1234#41—308no—
1235#41—304no—
1236#41—304no—
1237#41—304no—
1238C2×Q8—31no—
1239C2×Q8—32no—
1240C2×Q8—31no—
1241C2×Q8—64no—
1242C2×Q8—152no—
1243C2×Q8—151no—
1244C2×Q8—304no—
1245C2×D4—32no—
1246C2×D4—32no—
1247C2×D4—32no—
1248C2×D4—32no—
1249C2×D4—31no—
1250C2×D4—32no—
1251C2×D4—31no—
1252C2×D4—51no—
1253C2×D4—51no—
1254C2×D4—51no—
1255C2×D4—51no—
1256C2×D4—64no—
1257C2×D4—68no—
1258C2×D4—104no—
1259C2×D4—152no—
1260C2×D4—152no—
1261C2×D4—152no—
1262C2×D4—152no—
1263C2×D4—152no—
1264C2×D4—152no—
1265C2×D4—152no—
1266C2×D4—152no—
1267C2×D4—152no—
1268C2×D4—152no—
1269C2×D4—151no—
1270C2×D4—304no—
1271C2×D4—308no—
1272C2×D4—308no—
1273C22×C4—24no—
1274C22×C4—32no—
1275C22×C4—32no—
1276C22×C4—32no—
1277C22×C4—32no—
1278C22×C4—32no—
1279C22×C4—51no—
1280C22×C4—51no—
1281C22×C4—51no—
1282C22×C4—51no—
1283C22×C4—51no—
1284C22×C4—51no—
1285C22×C4—51no—
1286C22×C4—68no—
1287C22×C4—104no—
1288C22×C4—152no—
1289C22×C4—152no—
1290C22×C4—152no—
1291C22×C4—152no—
1292C22×C4—152no—
1293C22×C4—152no—
1294C22×C4—308no—
1295C22×C4C2×D3×D511yescharacteristic
1296C22×C4C2×D3×D511yescharacteristic
1297C22×C4C2×D3×D511yescharacteristic
1298C22×C4C2×D3×D511yescharacteristic
1299C22×C4C2×D3×D511yescharacteristic
1300C22×C4C2×D3×D511yescharacteristic
1301C4⋊C4—51no—
1302C4⋊C4—51no—
1303C4⋊C4—51no—
1304C4⋊C4—51no—
1305C4⋊C4—152no—
1306C4⋊C4—152no—
1307C4⋊C4—152no—
1308C4⋊C4—152no—
1309C4⋊C4—152no—
1310C4⋊C4—152no—
1311C4⋊C4—152no—
1312C4⋊C4—151no—
1313C4⋊C4—151no—
1314C4⋊C4—152no—
1315C22⋊C4—51no—
1316C22⋊C4—51no—
1317C22⋊C4—51no—
1318C22⋊C4—51no—
1319C22⋊C4—51no—
1320C22⋊C4—51no—
1321C22⋊C4—51no—
1322C22⋊C4—51no—
1323C22⋊C4—152no—
1324C22⋊C4—152no—
1325C22⋊C4—152no—
1326C22⋊C4—152no—
1327C22⋊C4—152no—
1328C22⋊C4—152no—
1329C22⋊C4—152no—
1330C22⋊C4—152no—
1331C22⋊C4—152no—
1332C22⋊C4—152no—
1333C22⋊C4—152no—
1334C22⋊C4—152no—
1335C22⋊C4—152no—
1336C22⋊C4—152no—
1337C22⋊C4—152no—
1338C42—51no—
1339C42—51no—
1340C42—51no—
1341C42—51no—
1342C42—152no—
1343C42—152no—
1344C42—152no—
1345C3×C5D4×#4111yescharacteristic, complemented, Hall
1346C22×C3—21no—
1347C22×C3—21no—
1348C22×C3—21no—
1349C22×C3—21no—
1350C22×C3—21no—
1351C22×C3—21no—
1352C22×C3—21no—
1353C22×C3—44no—
1354C22×C3—52no—
1355C22×C3—101no—
1356C22×C3—101no—
1357C22×C3—101no—
1358C22×C3—101no—
1359C22×C3—101no—
1360C22×C3—204no—
1361C22×C3D5×#4112yescomplemented
1362C22×C3C22×C22⋊D512yes—
1363C22×C3C24×D511yescharacteristic
1364C2×D3—22no—
1365C2×D3—22no—
1366C2×D3—22no—
1367C2×D3—22no—
1368C2×D3—22no—
1369C2×D3—48no—
1370C2×D3—102no—
1371C2×D3—102no—
1372C2×D3—102no—
1373C2×D3—208no—
1374C2×D3C22×C22⋊D514yes—
1375C3×C4—21no—
1376C3×C4—21no—
1377C3×C4—52no—
1378C3×C4—101no—
1379C3×C4—101no—
1380C3×C4—101no—
1381C3×C4—101no—
1382C3×C4—101no—
1383C3×C4C22×C22⋊D512yes—
1384C3×C4C22×C22⋊D512yes—
1385Dic3—22no—
1386Dic3—102no—
1387Dic3—102no—
1388Dic3—102no—
1389Dic3C22×C22⋊D514yes—
1390C2×C5—22no—
1391C2×C5—22no—
1392C2×C5—41no—
1393C2×C5—64no—
1394C2×C5—122no—
1395C2×C5C22×#23511yescharacteristic
1396C2×C5C22×D3×D411yescharacteristic
1397C2×C5#596411yescharacteristic
1398D5—22no—
1399D5—41no—
1400D5—122no—
1401C23—22no—
1402C23—22no—
1403C23—32no—
1404C23—32no—
1405C23—41no—
1406C23—51no—
1407C23—51no—
1408C23—64no—
1409C23—64no—
1410C23—102no—
1411C23—102no—
1412C23—122no—
1413C23—152no—
1414C23—201no—
1415C23—304no—
1416C23—304no—
1417C23—602no—
1418C23C22×D3×D511yescharacteristic
1419C23C22×D3×D511yescharacteristic
1420C23C22×D3×D511yescharacteristic
1421Q8—34no—
1422Q8—64no—
1423Q8—62no—
1424Q8—304no—
1425Q8—302no—
1426D4—38no—
1427D4—34no—
1428D4—54no—
1429D4—64no—
1430D4—64no—
1431D4—64no—
1432D4—64no—
1433D4—62no—
1434D4—102no—
1435D4—102no—
1436D4—102no—
1437D4—304no—
1438D4—304no—
1439D4—304no—
1440D4—304no—
1441D4—304no—
1442D4—304no—
1443D4—304no—
1444D4—302no—
1445D4—602no—
1446D4—602no—
1447D4—602no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—32no—
1454C2×C4—38no—
1455C2×C4—32no—
1456C2×C4—51no—
1457C2×C4—51no—
1458C2×C4—51no—
1459C2×C4—51no—
1460C2×C4—51no—
1461C2×C4—51no—
1462C2×C4—64no—
1463C2×C4—64no—
1464C2×C4—64no—
1465C2×C4—64no—
1466C2×C4—102no—
1467C2×C4—102no—
1468C2×C4—102no—
1469C2×C4—102no—
1470C2×C4—102no—
1471C2×C4—102no—
1472C2×C4—152no—
1473C2×C4—152no—
1474C2×C4—152no—
1475C2×C4—201no—
1476C2×C4—304no—
1477C2×C4—304no—
1478C2×C4—304no—
1479C2×C4—304no—
1480C2×C4—304no—
1481C2×C4—602no—
1482C2×C4D3×C22⋊D514yescomplemented
1483C2×C4C22×D3×D511yescharacteristic
1484C2×C4C22×D3×D511yescharacteristic
1485C2×C4C22×D3×D511yescharacteristic
1486C2×C4C22×D3×D511yescharacteristic
1487C2×C3—22no—
1488C2×C3—22no—
1489C2×C3—41no—
1490C2×C3—102no—
1491C2×C3—201no—
1492C2×C3C2×D5×#4111yescharacteristic
1493C2×C3#6628311yescharacteristic
1494C2×C3C23×C22⋊D511yescharacteristic
1495D3—24no—
1496D3—42no—
1497D3—202no—
1498C5D4×#23511yescharacteristic, complemented, Sylow
1499C22—21no—
1500C22—21no—
1501C22—21no—
1502C22—21no—
1503C22—21no—
1504C22—21no—
1505C22—21no—
1506C22—34no—
1507C22—44no—
1508C22—52no—
1509C22—62no—
1510C22—62no—
1511C22—62no—
1512C22—62no—
1513C22—62no—
1514C22—101no—
1515C22—101no—
1516C22—101no—
1517C22—101no—
1518C22—101no—
1519C22—128no—
1520C22—204no—
1521C22—302no—
1522C22—302no—
1523C22—302no—
1524C22—608no—
1525C22D5×#23512yescomplemented
1526C22C2×D3×C22⋊D512yes—
1527C22C23×D3×D511yescharacteristic
1528C4—21no—
1529C4—21no—
1530C4—34no—
1531C4—52no—
1532C4—62no—
1533C4—101no—
1534C4—101no—
1535C4—101no—
1536C4—101no—
1537C4—101no—
1538C4—302no—
1539C4—302no—
1540C4—302no—
1541C4C2×D3×C22⋊D512yes—
1542C4C2×D3×C22⋊D512yes—
1543C3#41×C22⋊D511yescharacteristic, complemented, Sylow
1544C2—22no—
1545C2—22no—
1546C2—41no—
1547C2—64no—
1548C2—102no—
1549C2—122no—
1550C2—201no—
1551C2—602no—
1552C2C2×D5×#23511yescharacteristic
1553C2#1175702211yescharacteristic
1554C2C22×D3×C22⋊D511yescharacteristic
subgroupG/H
centerC2×C4C22×D3×D5
commutator, socle, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC23×C3×C4×C5C22
hypercenterC23×C4D3×D5
hypocenterC3×C5D4×#41
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C2×C4 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×C5×#235C2semidirect
2. C2×D5×#235C2semidirect
3. #11756550C2semidirect
4. C2×C3×C4×C22⋊D5C2semidirect
5. #67×C22⋊D5C2semidirect
6. #11755393C2semidirect
7. #11754651C2semidirect
8. #11754650C2semidirect
9. #11754649C2semidirect
10. D12×C22⋊D5C2semidirect
11. C4×D3×C22⋊D5C2semidirect
12. #11754572C2semidirect
13. #11754563C2semidirect
14. #11754545C2semidirect
15. #11754544C2semidirect
16. #11754541C2semidirect
17. #11754540C2semidirect
18. #11754539C2semidirect
19. #11754538C2semidirect
20. Dic5×#235C2semidirect
21. #11754346C2semidirect
22. #11754338C2semidirect
23. Dic6×C22⋊D5C2semidirect
25. C23×C3×C4×C5C22semidirect
26. C2×#6817C22semidirect
27. C22×C5×#67C22semidirect
30. C2×C5×#235C22semidirect
31. C2×C5×#235C22semidirect
32. C2×C5×#235C22semidirect
33. C2×C5×#235C22semidirect
34. C2×C5×#235C22semidirect
35. C22×C5×D12C22semidirect
36. C22×C4×C5×D3C22semidirect
37. C22×C5×Dic6C22semidirect
39. C22×C3×C4×D5C22semidirect
41. C2×D5×#67C22semidirect
42. C2×#6782C22semidirect
44. C2×D5×D12C22semidirect
45. C2×C4×D3×D5C22semidirect
46. C2×#6773C22semidirect
47. C2×#6772C22semidirect
48. C2×#6771C22semidirect
49. C2×D5×Dic6C22semidirect
50. #91842C22semidirect
51. #91819C22semidirect
52. #91819C22semidirect
53. #91818C22semidirect
54. C4×#1220C22semidirect
55. C4×#1220C22semidirect
56. #91815C22semidirect
57. #91813C22semidirect
58. #91813C22semidirect
59. C2×C3×C22⋊Dic5C22semidirect
62. C3×C4×C22⋊D5C22semidirect
63. C3×C4×C22⋊D5C22semidirect
64. C3×C4×C22⋊D5C22semidirect
65. C3×C4×C22⋊D5C22semidirect
66. C3×C4×C22⋊D5C22semidirect
67. C3×C4×C22⋊D5C22semidirect
68. C2×C3×#685C22semidirect
69. C2×C3×#683C22semidirect
70. C2×C3×C4×Dic5C22semidirect
71. #91577C22semidirect
72. #91575C22semidirect
73. #91570C22semidirect
74. #91569C22semidirect
75. #91568C22semidirect
76. #91567C22semidirect
77. #91566C22semidirect
78. #91566C22semidirect
79. #91565C22semidirect
80. #91563C22semidirect
81. #91558C22semidirect
82. #91557C22semidirect
83. #91556C22semidirect
84. #91555C22semidirect
85. D3×C22⋊Dic5C22semidirect
87. Dic5×#67C22semidirect
88. Dic5×#67C22semidirect
89. #91549C22semidirect
90. #91539C22semidirect
91. #91525C22semidirect
92. #91475C22semidirect
93. D3×#685C22semidirect
94. #91455C22semidirect
95. #91454C22semidirect
96. #91453C22semidirect
97. #91452C22semidirect
98. #91451C22semidirect
99. #91449C22semidirect
100. #91449C22semidirect
101. #91446C22semidirect
102. C4×#1203C22semidirect
103. C4×#1203C22semidirect
104. #91441C22semidirect
105. C4×#1201C22semidirect
106. C4×#1201C22semidirect
107. #91424C22semidirect
108. #91423C22semidirect
109. #91421C22semidirect
110. #91416C22semidirect
111. Dic5×D12C22semidirect
112. Dic5×D12C22semidirect
113. D3×#683C22semidirect
114. C4×D3×Dic5C22semidirect
115. #91376C22semidirect
116. #91375C22semidirect
117. #91373C22semidirect
118. #91371C22semidirect
119. #91359C22semidirect
120. #91359C22semidirect
121. #91352C22semidirect
122. #91351C22semidirect
123. Dic5×Dic6C22semidirect
124. Dic5×Dic6C22semidirect
125. #91329C22semidirect
149. C2×C4×C22⋊D5D3semidirect
179. C5×#235D4semidirect
273. C22×#235D5semidirect
306. C23×C4×C5C2×D3semidirect
319. C22×C4×D5C2×D3semidirect
324. C2×C22⋊Dic5C2×D3semidirect
378. C4×C22⋊D5C2×D3semidirect
379. C4×C22⋊D5C2×D3semidirect
380. C4×C22⋊D5C2×D3semidirect
381. C4×C22⋊D5C2×D3semidirect
382. C4×C22⋊D5C2×D3semidirect
383. C4×C22⋊D5C2×D3semidirect
385. C2×#685C2×D3semidirect
393. C2×#683C2×D3semidirect
395. C2×C4×Dic5C2×D3semidirect
422. C2×C3×C4×C5C2×D4semidirect
439. C5×#67C2×D4semidirect
445. C5×D12C2×D4semidirect
449. C4×C5×D3C2×D4semidirect
452. C5×Dic6C2×D4semidirect
456. C3×C22⋊D5#41semidirect
485. C23×C3×C4C2×D5semidirect
487. C22×#67C2×D5semidirect
497. C2×#235C2×D5semidirect
498. C2×#235C2×D5semidirect
499. C2×#235C2×D5semidirect
500. C2×#235C2×D5semidirect
501. C2×#235C2×D5semidirect
503. C22×D12C2×D5semidirect
505. C22×C4×D3C2×D5semidirect
507. C22×Dic6C2×D5semidirect
738. C22×C3×C5C2×#41semidirect
756. C2×C3×D5C2×#41semidirect
770. C3×Dic5C2×#41semidirect
823. #235C22⋊D5direct (N × H)
937. C2×C4×C5D3×D4semidirect
954. C22⋊D5#235direct (N × H)
1005. C23×C4D3×D5semidirect
1135. C2×C3×C4C2×C22⋊D5semidirect
1150. #67C2×C22⋊D5semidirect
1164. D12C2×C22⋊D5semidirect
1173. C4×D3C2×C22⋊D5semidirect
1178. Dic6C2×C22⋊D5semidirect
1194. C22×C5C2×#235semidirect
1207. C2×D5C2×#235semidirect
1222. Dic5C2×#235semidirect
1345. C3×C5D4×#41semidirect
1361. C22×C3D5×#41semidirect
1482. C2×C4D3×C22⋊D5semidirect
1498. C5D4×#235semidirect
1525. C22D5×#235semidirect
1543. C3#41×C22⋊D5semidirect

Maximal subgroups

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

subgroupindex
C22×C5×#2352
C2×D5×#2352
#117565502
C2×C3×C4×C22⋊D52
#67×C22⋊D52
#117553932
#117546512
#117546502
#117546492
D12×C22⋊D52
C4×D3×C22⋊D52
#117545722
#117545632
#117545452
#117545442
#117545412
#117545402
#117545392
#117545382
Dic5×#2352
#117543462
#117543382
Dic6×C22⋊D52
#41×C22⋊D53
D4×#2355