Finite Group Databasebeta

← C2×Dic7×C22⋊Q8 #13512247

Subgroups — C2×Dic7×C22⋊Q8 #13512247

Order 1792.

3854 conjugacy classes of subgroups.

The subgroup lattice has 600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C7×C22⋊Q8C211yesmaximal, characteristic
2C22×Q8×Dic7C211yesmaximal, characteristic, complemented
3C23×C4×Dic7C211yesmaximal, characteristic
4C2×#90002C211yesmaximal, characteristic, complemented
5C2×#89984C211yesmaximal, characteristic
6Dic7×C22⋊Q8C2116yesmaximal, direct product factor
7C2×#89757C211yesmaximal, characteristic, complemented
8C2×#89753C212yesmaximal, complemented
9C2×C4⋊C4×Dic7C212yesmaximal, complemented
10C2×C4⋊C4×Dic7C211yesmaximal, characteristic, complemented
11C2×#89722C212yesmaximal
12C2×C22⋊C4×Dic7C212yesmaximal
13C23×C7×Q8C2211yescharacteristic
14C24×C4×C7C2211yescharacteristic
15C24×Dic7C2211yescharacteristic
16C24×Dic7C2211yescharacteristic
17C2×C7×C22⋊Q8C4116yescomplemented
18C2×C7×C22⋊Q8C2218yes—
19C22×C7×C4⋊C4C2212yes—
20C22×C7×C4⋊C4C2211yescharacteristic
21C22×C7×C22⋊C4C2212yes—
22C22×C22⋊Dic7C2212yes—
23C2×Q8×Dic7—28no—
24C2×Q8×Dic7C2218yescomplemented
25C22×C4⋊Dic7C2211yescharacteristic
26C22×C4⋊Dic7C2211yescharacteristic
27C22×C4⋊Dic7C2212yes—
28C22×C4⋊Dic7C2212yes—
29C22×C4×Dic7—28no—
30C22×C4×Dic7C2218yes—
31C22×C4×Dic7C2211yescharacteristic
32C22×C4×Dic7C2211yescharacteristic
33C22×C4×Dic7C2211yescharacteristic
34C22×C4×Dic7C2212yes—
35C22×C4×Dic7C2212yes—
36C22×C4×Dic7C2211yescharacteristic
37#90002C2218yescomplemented
38#89984C2218yes—
39C2×C7⋊#95C2212yes—
40C2×C7⋊#95C2212yes—
41C2×C7⋊#95C2212yes—
42C2×C7⋊#95C2212yes—
43C2×C7⋊#95C2212yes—
44#89757C2218yescomplemented
45#89753C22116yescomplemented
46C4⋊C4×Dic7C22116yescomplemented
47C4⋊C4×Dic7C2218yescomplemented
48#89722C22116yes—
49C22⋊C4×Dic7C22116yes—
50C2×C4×C22⋊Q8—71nomaximal, Sylow
51C25×C7C2311yescharacteristic
52C22×C7×Q8—24no—
53C22×C7×Q8—24no—
54C22×C7×Q8C2×C418yescomplemented
55C22×C7×Q8C2314yes—
56C23×C4×C7—24no—
57C23×C4×C7—24no—
58C23×C4×C7C2×C418yes—
59C23×C4×C7C2312yes—
60C23×C4×C7C2311yescharacteristic
61C23×C4×C7C2314yes—
62C23×C4×C7C2312yes—
63C23×C4×C7C2311yescharacteristic
64C23×Dic7—24no—
65C23×Dic7—24no—
66C23×Dic7—24no—
67C23×Dic7—24no—
68C23×Dic7—24no—
69C23×Dic7Q818yescomplemented
70C23×Dic7C2314yes—
71C23×Dic7C2312yes—
72C23×Dic7C2312yes—
73C23×Dic7C2311yescharacteristic
74C23×Dic7C2311yescharacteristic
75C23×Dic7C2314yes—
76C23×Dic7C2311yescharacteristic
77C23×Dic7C2311yescharacteristic
78C7×C22⋊Q8C2×C4164yescomplemented
79C2×C7×C4⋊C4C2×C418yescomplemented
80C2×C7×C4⋊C4C2×C4116yescomplemented
81C2×C7×C4⋊C4C2318yes—
82C2×C7×C4⋊C4C2314yes—
83C2×C7×C22⋊C4C2×C4116yes—
84C2×C7×C22⋊C4C2318yes—
85C2×C22⋊Dic7—28no—
86C2×C22⋊Dic7C2318yes—
87Q8×Dic7—232no—
88C2×C4⋊Dic7—24no—
89C2×C4⋊Dic7—24no—
90C2×C4⋊Dic7—28no—
91C2×C4⋊Dic7—28no—
92C2×C4⋊Dic7C2318yes—
93C2×C4⋊Dic7C2318yes—
94C2×C4⋊Dic7C2314yes—
95C2×C4⋊Dic7C2314yes—
96C2×C4×Dic7—24no—
97C2×C4×Dic7—24no—
98C2×C4×Dic7—24no—
99C2×C4×Dic7—28no—
100C2×C4×Dic7—28no—
101C2×C4×Dic7—232no—
102C2×C4×Dic7D418yes—
103C2×C4×Dic7C2314yes—
104C2×C4×Dic7C2314yes—
105C2×C4×Dic7C2314yes—
106C2×C4×Dic7C2318yes—
107C2×C4×Dic7C2318yes—
108C2×C4×Dic7C2314yes—
109C7⋊#95C2318yes—
110C7⋊#95C2318yes—
111C7⋊#95C2318yes—
112C7⋊#95C2318yes—
113C7⋊#95C2318yes—
114C22×C22⋊Q8D711yescharacteristic
115C22×C4×Q8—71no—
116C23×C42—71no—
117C4×C22⋊Q8—716no—
118C2×#391—71no—
119C2×#389—71no—
120C2×#387—72no—
121C2×#385—72no—
122C2×#380—71no—
123C2×C4×C4⋊C4—71no—
124C2×C4×C4⋊C4—72no—
125C2×C4×C22⋊C4—72no—
126C24×C7—22no—
127C24×C7—22no—
128C24×C7—22no—
129C24×C7—22no—
130C24×C7C22×C414yes—
131C24×C7C2×Q814yes—
132C24×C7#4114yes—
133C24×C7C2412yes—
134C24×C7C2411yescharacteristic
135C2×C7×Q8—232no—
136C2×C7×Q8—28no—
137C2×C7×Q8—28no—
138C2×C7×Q8C22×C4116yescomplemented
139C22×C4×C7—22no—
140C22×C4×C7—24no—
141C22×C4×C7—24no—
142C22×C4×C7—24no—
143C22×C4×C7—22no—
144C22×C4×C7—24no—
145C22×C4×C7—232no—
146C22×C4×C7—28no—
147C22×C4×C7—28no—
148C22×C4×C7C22×C418yes—
149C22×C4×C7C22×C418yes—
150C22×C4×C7C22×C414yes—
151C22×C4×C7C22×C4116yes—
152C22×C4×C7C22×C414yes—
153C22×C4×C7C2×D414yes—
154C22×C4×C7#4114yes—
155C22×C4×C7C2412yes—
156C22×C4×C7C2414yes—
157C22×C4×C7C2414yes—
158C22×C4×C7C2412yes—
159C22×Dic7—232no—
160C22×Dic7—22no—
161C22×Dic7—22no—
162C22×Dic7—28no—
163C22×Dic7—22no—
164C22×Dic7—22no—
165C22×Dic7—22no—
166C22×Dic7—22no—
167C22×Dic7—232no—
168C22×Dic7—28no—
169C22×Dic7—28no—
170C22×Dic7—28no—
171C22×Dic7—28no—
172C22×Dic7—24no—
173C22×Dic7—24no—
174C22×Dic7—24no—
175C22×Dic7—24no—
176C22×Dic7—24no—
177C22×Dic7—24no—
178C22×Dic7C2×D414yes—
179C22×Dic7C2×D414yes—
180C22×Dic7C2×Q814yes—
181C22×Dic7C2×Q814yes—
182C22×Dic7C2×Q8116yescomplemented
183C22×Dic7#4114yes—
184C22×Dic7#4114yes—
185C22×Dic7C2414yes—
186C22×Dic7C2414yes—
187C22×Dic7C2412yes—
188C22×Dic7C2412yes—
189C22×Dic7C2412yes—
190C22×Dic7C2412yes—
191C7×C4⋊C4C22×C4116yescomplemented
192C7×C4⋊C4C22×C4132yescomplemented
193C7×C22⋊C4C22×C4132yes—
194C22⋊Dic7—216no—
195C4⋊Dic7—28no—
196C4⋊Dic7—28no—
197C4⋊Dic7—216no—
198C4⋊Dic7—216no—
199C4×Dic7—28no—
200C4×Dic7—28no—
201C4×Dic7—28no—
202C4×Dic7—216no—
203C4×Dic7—216no—
204C4×Dic7C2×D4116yes—
205C23×Q8C2×D711yescharacteristic
206C24×C4—71no—
207C24×C4—71no—
208C24×C4C2×D711yescharacteristic
209C2×C22⋊Q8Dic7116yesdirect product factor
210C2×C22⋊Q8C2×D718yes—
211C2×C4×Q8—78no—
212C2×C4×Q8—148no—
213C22×C4⋊C4—71no—
214C22×C4⋊C4—72no—
215C22×C4⋊C4—71no—
216C22×C4⋊C4—72no—
217C22×C4⋊C4C2×D712yes—
218C22×C4⋊C4C2×D711yescharacteristic
219C22×C22⋊C4—72no—
220C22×C22⋊C4C2×D712yes—
221C22×C42—71no—
222C22×C42—71no—
223C22×C42—71no—
224C22×C42—71no—
225C22×C42—78no—
226C22×C42—72no—
227C22×C42—72no—
228C22×C42—148no—
229#391—78no—
230#389—78no—
231#387—716no—
232#385—716no—
233#380—78no—
234C4×C4⋊C4—716no—
235C4×C4⋊C4—78no—
236C4×C22⋊C4—716no—
237C2×#95—72no—
238C2×#95—72no—
239C2×#95—72no—
240C2×#95—72no—
241C2×#95—72no—
242C23×C7—28no—
243C23×C7—28no—
244C23×C7—28no—
245C23×C7—28no—
246C23×C7—28no—
247C23×C7—28no—
248C23×C7—22no—
249C23×C7—22no—
250C23×C7—22no—
251C23×C7—22no—
252C23×C7C4×Q8116yescomplemented
253C23×C7C23×C414yes—
254C23×C7C23×C412yes—
255C23×C7C22×D412yes—
256C23×C7C22×Q814yes—
257C23×C7C22×Q812yes—
258C23×C7C2×#4112yes—
259C23×C7C2×#4114yes—
260C23×C7C2×#4112yes—
261C23×C7C2×#4112yes—
262C23×C7C2×#4112yes—
263C23×C7C2511yescharacteristic
264C7×Q8—232no—
265C2×C4×C7—28no—
266C2×C4×C7—216no—
267C2×C4×C7—216no—
268C2×C4×C7—22no—
269C2×C4×C7—24no—
270C2×C4×C7—24no—
271C2×C4×C7—24no—
272C2×C4×C7—22no—
273C2×C4×C7—24no—
274C2×C4×C7—232no—
275C2×C4×C7C4×D4116yes—
276C2×C4×C7C23×C418yes—
277C2×C4×C7C23×C418yes—
278C2×C4×C7C23×C414yes—
279C2×C4×C7C23×C414yes—
280C2×C4×C7C22×D414yes—
281C2×C4×C7C2×#4114yes—
282C2×Dic7—232no—
283C2×Dic7—28no—
284C2×Dic7—28no—
285C2×Dic7—28no—
286C2×Dic7—22no—
287C2×Dic7—22no—
288C2×Dic7—22no—
289C2×Dic7—22no—
290C2×Dic7—22no—
291C2×Dic7—22no—
292C2×Dic7—232no—
293C2×Dic7—24no—
294C2×Dic7—24no—
295C2×Dic7—24no—
296C2×Dic7—24no—
297C2×Dic7—24no—
298C2×Dic7—24no—
299C2×Dic7—48no—
300C2×Dic7—48no—
301C2×Dic7C22⋊Q8116yesdirect product factor
302C2×Dic7C22×D414yes—
303C2×Dic7C22×D414yes—
304C2×Dic7C22×Q814yes—
305C2×Dic7C22×Q814yes—
306C2×Dic7C2×#4114yes—
307C2×Dic7C2×#4114yes—
308C25C22×D711yescharacteristic
309C22×Q8—24no—
310C22×Q8—24no—
311C22×Q8C2×Dic718yescomplemented
312C22×Q8C22×D714yes—
313C23×C4—24no—
314C23×C4—24no—
315C23×C4—71no—
316C23×C4—78no—
317C23×C4—74no—
318C23×C4—71no—
319C23×C4—71no—
320C23×C4—71no—
321C23×C4—74no—
322C23×C4—72no—
323C23×C4—72no—
324C23×C4—144no—
325C23×C4—144no—
326C23×C4—144no—
327C23×C4—144no—
328C23×C4—144no—
329C23×C4C2×Dic718yes—
330C23×C4C22×D714yes—
331C23×C4C22×D712yes—
332C23×C4C22×D712yes—
333C23×C4C22×D711yescharacteristic
334C23×C4C22×D711yescharacteristic
335C22⋊Q8C2×Dic7164yesdirect product factor
336C4×Q8—1432no—
337C2×C4⋊C4—74no—
338C2×C4⋊C4—78no—
339C2×C4⋊C4—74no—
340C2×C4⋊C4—78no—
341C2×C4⋊C4—148no—
342C2×C4⋊C4—148no—
343C2×C4⋊C4—144no—
344C2×C4⋊C4—144no—
345C2×C4⋊C4C2×Dic718yescomplemented
346C2×C4⋊C4C2×Dic7116yescomplemented
347C2×C4⋊C4C22×D718yes—
348C2×C4⋊C4C22×D714yes—
349C2×C22⋊C4—78no—
350C2×C22⋊C4—148no—
351C2×C22⋊C4C2×Dic7116yes—
352C2×C22⋊C4C22×D718yes—
353C2×C42—78no—
354C2×C42—74no—
355C2×C42—78no—
356C2×C42—78no—
357C2×C42—74no—
358C2×C42—74no—
359C2×C42—74no—
360C2×C42—1432no—
361C2×C42—148no—
362C2×C42—148no—
363C2×C42—144no—
364C2×C42—144no—
365C2×C42—144no—
366#95—78no—
367#95—78no—
368#95—78no—
369#95—78no—
370#95—78no—
371C22×C7—24no—
372C22×C7—24no—
373C22×C7—24no—
374C22×C7—24no—
375C22×C7—24no—
376C22×C7—24no—
377C22×C7—232no—
378C22×C7C2×C4×D414yes—
379C22×C7C2×C4×Q814yes—
380C22×C7C2×C4×Q818yescomplemented
381C22×C7C4×#4114yes—
382C22×C7C2×C22⋊Q814yes—
383C22×C7#52514yes—
384C22×C7#52914yes—
385C22×C7#53314yes—
386C22×C7C24×C411yescharacteristic
387C22×C7C23×D411yescharacteristic
388C22×C7C23×Q811yescharacteristic
389C22×C7C22×#4111yescharacteristic
390C22×C7C22×#4111yescharacteristic
391C22×C7C22×#4111yescharacteristic
392C22×C7C22×#4111yescharacteristic
393C4×C7—24no—
394C4×C7—28no—
395C4×C7—28no—
396C4×C7C2×C4×D418yes—
397Dic7—24no—
398Dic7—24no—
399Dic7—24no—
400Dic7—44no—
401Dic7—44no—
402Dic7C2×C22⋊Q818yesdirect product factor
403C24—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24Q8×D714yes—
408C24#116114yes—
409C24C22×Dic714yes—
410C24C23×D712yes—
411C24C23×D711yescharacteristic
412C2×Q8—232no—
413C2×Q8—28no—
414C2×Q8—28no—
415C2×Q8C22×Dic7116yescomplemented
416C22×C4—22no—
417C22×C4—24no—
418C22×C4—22no—
419C22×C4—24no—
420C22×C4—24no—
421C22×C4—24no—
422C22×C4—232no—
423C22×C4—28no—
424C22×C4—28no—
425C22×C4—74no—
426C22×C4—74no—
427C22×C4—74no—
428C22×C4—72no—
429C22×C4—74no—
430C22×C4—74no—
431C22×C4—716no—
432C22×C4—74no—
433C22×C4—72no—
434C22×C4—72no—
435C22×C4—72no—
436C22×C4—74no—
437C22×C4—74no—
438C22×C4—148no—
439C22×C4—148no—
440C22×C4—1432no—
441C22×C4—148no—
442C22×C4—148no—
443C22×C4—1432no—
444C22×C4—142no—
445C22×C4—142no—
446C22×C4—148no—
447C22×C4—142no—
448C22×C4—142no—
449C22×C4—142no—
450C22×C4—142no—
451C22×C4—144no—
452C22×C4—144no—
453C22×C4—144no—
454C22×C4—144no—
455C22×C4—144no—
456C22×C4—144no—
457C22×C4D4×D714yes—
458C22×C4#115914yes—
459C22×C4C22×Dic718yes—
460C22×C4C22×Dic718yes—
461C22×C4C22×Dic714yes—
462C22×C4C22×Dic7116yes—
463C22×C4C22×Dic714yes—
464C22×C4C23×D712yes—
465C22×C4C23×D714yes—
466C22×C4C23×D714yes—
467C22×C4C23×D712yes—
468C4⋊C4—1416no—
469C4⋊C4—1416no—
470C4⋊C4—148no—
471C4⋊C4—148no—
472C4⋊C4C22×Dic7116yescomplemented
473C4⋊C4C22×Dic7132yescomplemented
474C22⋊C4—1416no—
475C22⋊C4C22×Dic7132yes—
476C42—716no—
477C42—1416no—
478C42—148no—
479C42—148no—
480C42—1416no—
481C42—148no—
482C2×C7—28no—
483C2×C7C4×C22⋊Q818yescomplemented
484C2×C7C22×C4×D411yescharacteristic
485C2×C7C22×C4×Q811yescharacteristic
486C2×C7C2×C4×#4111yescharacteristic
487C2×C7C22×C22⋊Q811yescharacteristic
488C2×C7C2×#52511yescharacteristic
489C2×C7C2×#52911yescharacteristic
490C2×C7C2×#53311yescharacteristic
491C23—28no—
492C23—28no—
493C23—28no—
494C23—28no—
495C23—28no—
496C23—28no—
497C23—22no—
498C23—22no—
499C23—22no—
500C23—22no—
501C23Q8×Dic7116yescomplemented
502C23C2×D4×D712yes—
503C23C2×#115912yes—
504C23C2×Q8×D714yes—
505C23C2×Q8×D712yes—
506C23C2×#116114yes—
507C23C2×#116112yes—
508C23D7×#4112yes—
509C23D7×#4112yes—
510C23C23×Dic714yes—
511C23C23×Dic712yes—
512C23C24×D711yescharacteristic
513Q8—232no—
514C2×C4—28no—
515C2×C4—216no—
516C2×C4—216no—
517C2×C4—22no—
518C2×C4—24no—
519C2×C4—22no—
520C2×C4—24no—
521C2×C4—24no—
522C2×C4—24no—
523C2×C4—232no—
524C2×C4—716no—
525C2×C4—74no—
526C2×C4—74no—
527C2×C4—74no—
528C2×C4—74no—
529C2×C4—74no—
530C2×C4—74no—
531C2×C4—1432no—
532C2×C4—1432no—
533C2×C4—148no—
534C2×C4—148no—
535C2×C4—148no—
536C2×C4—142no—
537C2×C4—142no—
538C2×C4—142no—
539C2×C4—142no—
540C2×C4—142no—
541C2×C4—142no—
542C2×C4—144no—
543C2×C4—144no—
544C2×C4—144no—
545C2×C4—144no—
546C2×C4—144no—
547C2×C4—144no—
548C2×C4—288no—
549C2×C4—288no—
550C2×C4D4×Dic7116yes—
551C2×C4C2×D4×D714yes—
552C2×C4C2×#115914yes—
553C2×C4C23×Dic718yes—
554C2×C4C23×Dic718yes—
555C2×C4C23×Dic714yes—
556C2×C4C23×Dic714yes—
557C7C2×C4×C22⋊Q811yescharacteristic, complemented, Sylow
558C22—232no—
559C22—24no—
560C22—24no—
561C22—24no—
562C22—24no—
563C22—24no—
564C22—24no—
565C22#9031314yes—
566C22#9031514yes—
567C22D7×C22⋊Q814yes—
568C22#9031814yes—
569C22C2×D4×Dic714yes—
570C22C2×Q8×Dic714yes—
571C22C2×Q8×Dic718yescomplemented
572C22#41×Dic714yes—
573C22C22×D4×D711yescharacteristic
574C22C22×#115911yescharacteristic
575C22C22×Q8×D711yescharacteristic
576C22C22×#116111yescharacteristic
577C22C2×D7×#4111yescharacteristic
578C22C2×D7×#4111yescharacteristic
579C22C24×Dic711yescharacteristic
580C4—24no—
581C4—28no—
582C4—28no—
583C4—78no—
584C4—144no—
585C4—144no—
586C4—144no—
587C4—284no—
588C4—284no—
589C4C2×D4×Dic718yes—
590C2—28no—
591C2Dic7×C22⋊Q818yesdirect product factor
592C2C2×#9031811yescharacteristic
593C2C2×#9031511yescharacteristic
594C2C2×#9031311yescharacteristic
595C2C2×D7×C22⋊Q811yescharacteristic
596C2C22×D4×Dic711yescharacteristic
597C2C22×Q8×Dic711yescharacteristic
598C2C2×#41×Dic711yescharacteristic
subgroupG/H
centerC24C23×D7
commutatorC22×C7C24×C4
FrattiniC23C24×D7
FittingC22×C7×C22⋊Q8C2
socleC24×C7C24
prime radicalC25×C7C23
cosocleC23×C7C25
hypercenterC22×C22⋊Q8D7
hypocenterC7C2×C4×C22⋊Q8
LCSG ▷ C22×C7 ▷ C7
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C22×Q8×Dic7C2semidirect
4. C2×#90002C2semidirect
6. Dic7×C22⋊Q8C2direct (N × H)
7. C2×#89757C2semidirect
8. C2×#89753C2semidirect
9. C2×C4⋊C4×Dic7C2semidirect
10. C2×C4⋊C4×Dic7C2semidirect
17. C2×C7×C22⋊Q8C4semidirect
24. C2×Q8×Dic7C22semidirect
37. #90002C22semidirect
44. #89757C22semidirect
45. #89753C22semidirect
46. C4⋊C4×Dic7C22semidirect
47. C4⋊C4×Dic7C22semidirect
54. C22×C7×Q8C2×C4semidirect
69. C23×Dic7Q8semidirect
78. C7×C22⋊Q8C2×C4semidirect
79. C2×C7×C4⋊C4C2×C4semidirect
80. C2×C7×C4⋊C4C2×C4semidirect
138. C2×C7×Q8C22×C4semidirect
182. C22×Dic7C2×Q8semidirect
191. C7×C4⋊C4C22×C4semidirect
192. C7×C4⋊C4C22×C4semidirect
209. C2×C22⋊Q8Dic7direct (N × H)
252. C23×C7C4×Q8semidirect
301. C2×Dic7C22⋊Q8direct (N × H)
311. C22×Q8C2×Dic7semidirect
335. C22⋊Q8C2×Dic7direct (N × H)
345. C2×C4⋊C4C2×Dic7semidirect
346. C2×C4⋊C4C2×Dic7semidirect
380. C22×C7C2×C4×Q8semidirect
402. Dic7C2×C22⋊Q8direct (N × H)
415. C2×Q8C22×Dic7semidirect
472. C4⋊C4C22×Dic7semidirect
473. C4⋊C4C22×Dic7semidirect
483. C2×C7C4×C22⋊Q8semidirect
501. C23Q8×Dic7semidirect
557. C7C2×C4×C22⋊Q8semidirect
571. C22C2×Q8×Dic7semidirect
591. C2Dic7×C22⋊Q8direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C7×C22⋊Q82
C22×Q8×Dic72
C23×C4×Dic72
C2×#900022
C2×#899842
Dic7×C22⋊Q82
C2×#897572
C2×#897532
C2×C4⋊C4×Dic72
C2×#897222
C2×C22⋊C4×Dic72
C2×C4×C22⋊Q87